A triangular prism has an equilateral triangle base whose sides are 7 meters. The height of the prism is 4 meters
What is the lateral surface area

Answers

Answer 1

The lateral surface area of the prism is 81m².

All of an object's sides, excluding its base and top, are considered its lateral surface. The size of the lateral surface is referred to as its area. This must be distinguished from the total surface area, which consists of the base and top areas as well as the lateral surface area.

The total area of all of its faces is reduced to the lateral area. It can also be explained by multiplying the prism's height by the base's circumference.

The base's sides are each 7 meters long, which is a given.

Phase 7+7+7 = 21 meters is the perimeter.

We also know that the prism is 4 meters tall.

The lateral area is therefore

L = P base × h

L = 21m x4m

L = 81m²

To learn more about lateral surface area from given link

https://brainly.com/question/16290302

#SPJ1


Related Questions

The equation of a parabola is y=18x2−4x+41. What is the equation of the directrix?

Answers

The equation of the directrix for the parabola y = 18 · x² - 4 · x + 41 is y = 2935 / 72.

How to determine the equation of the directrix related to a parabola

In this question we find the case of the equation of a parabola in standard form:

y = a · x² + b · x + c

Where:

a, b, c - Real coefficientsx - Independent variable.y - Dependent variable.

This equation must be changed into vertex form:

y - k = C · (x - h)²

Where:

(h, k) - Coordinates of the vertex.C - Vertex constant.

Where the vertex constant is:

C = 1 / (4 · p)

Where p is the distance between focus and vertex.

And the equation of directrix is:

y = k - 1 / (4 · C)

First, write the quadratic equation in standard form:

y = 18 · x² - 4 · x + 41

Second, use algebra properties until vertex form is obtained:

y = 18 · [x² - (2 / 9) · x + 41 / 18]

y = 18 · [x² - (2 / 9) · x + 1 / 81] + 18 · (367 / 162)

y = 18 · (x - 1 / 9)² + 367 / 9

y - 367 / 9 = 18 · (x - 1 / 9)²

Third, find the equation of the directrix:

y = 367 / 9 - 1 / (4 · 18)

y = 2935 / 72

To learn more on directrix on parabolae: https://brainly.com/question/21685473

#SPJ1

8. Given two supplementary angles, one angle is forty more than four times a number. The other angle is
twenty less than twelve times a number. Solve for the measure of each angle.

Answers

The first angle is 80 and the other angle is  100.

What are supplementary angles?

The pair of angles known as supplementary angles always add up to 180 degrees. These two perspectives are known as each other's supplements.

Let one angle to be 'x', other angle to be 'y' and the number to be 'c'.

So, according to the question:

one angle is forty more than four times a number and the other angle is

twenty less than twelve times a number.

So, x = 4c + 40

and, y = 12c - 20

We know that, the sum of x and y would be 180 because these are supplementary angles.

So, x + y = 180

  4c + 40 + 12c - 20 = 180

 16c + 20 = 180

 16c = 160

   c = 10

Hence, x = 4(10) + 40 = 80

and, y = 12(10) - 20 = 100

Learn more about Supplementary angles from the link below:

brainly.com/question/404323

#SPJ1

Davis knows that the area of his square-shaped bag is 81 feet squared 2 . What is the length of any side bag

Answers

Do 81 divided by 2 then you will get your answer

A store sells two brands of hand lotion. Brand X cost $3.25 for 5 fluid ounces. Brand Y cost $6.00 for 8 fluid ounces. How much less per fluid ounces does brand X cost then brand Y.

Answers

Based on the unit rate, Brand X costs $0.10 per fluid ounce less than Brand Y.

What is the unit rate?

The unit rate refers to the ratio of one value to the whole.

The unit rate is the average of the values of the data set.

We can compute the unit rate by dividing the total value by the number of units.

The total cost of Brand X for 5 fluid ounces = $3.25

The unit cost of Brand X per fluid ounce = $0.65 ($3.25/5)

The total cost of Brand Y for 8 fluid ounces = $6.00

The unit cost of Brand Y per fluid ounce = $0.75 ($6.00/8)

The difference in the unit cost of Brand X and Brand Y = $0.10 ($0.75 - $0.65)

Thus, we can state that Brand Y costs more than Brand X per unit.

Learn more about the unit rate at brainly.com/question/19493296

#SPJ1

at a particular restaurant, each pizza roll has 65 and each chicken wing

Answers

at a particular restaurant, each pizza roll has 65 and each chicken wing is 11 pizza rolls and 6 chicken wings.

What is calories?Calories are units of energy that a food or drink provides. You can usually find calorie counts listed on food items, and wearables like the best fitness trackers allow you monitor how many calories you're burning by doing different activities. Certain foods, such as fatty, fried, or processed foods, tend to have more calories. Other foods, such as fresh fruit and vegetables, tend to have fewer calories. However, some healthy fruits and vegetables can be high in calories, while low-calorie foods, such as diet soda, don’t provide any nutritional value. We need calories to give us enough energy to move around, stay warm, grow, work, think, and play. Even our blood circulation and digestion need the energy gained from calories in order to function well.

To learn more about nutritional refer to:

https://brainly.com/question/1296364

#SPJ1

The volume of this cylinder is 4860π cm3.
Find the length of the radius,r.
Give your answer as a surd in its simplest form.

Answers

Step-by-step explanation:

the volume of a cylinder (as any regular 3D object) is

base area × height

since the base area of a cylinder is the area of a circle, that means

pi×r² × height

in our case we have

4860 = pi×r²×180

27 = pi×r²

r² = 27/pi

r = sqrt(27/pi)

FYI :

sqrt(27/pi) = 2.931615071... cm

What is the sum of the polynomial M n 3 )+( M n 4?.

Answers

The sum of given polynomials (m + n + 3) + (m + n + 4) is 2m + 2n + 7

A polynomial is an equation composed of more than two algebraic terms, particularly the sum of numerous terms containing different powers of the same variable(s)

The polynomials can be added by first organising them in standard form, then grouping like terms together, and lastly simplifying them.

Given the expression:

(m + n + 3) + (m + n + 4)

Now, we have to combine the like terms.

(m + m) + (n + n) + (3 + 4)

Add the coefficients of the same variable:

2m + 2n + 7

The sum of polynomials is 2m + 2n + 7

Complete question:

What is the sum of the polynomials (m+n+3)(m+n+4)

To learn more about sum of polynomials visit:

https://brainly.com/question/26147255

#SPJ4

What is the additive inverse of _3 7?.

Answers

The additive inverse of 3/7 is -3/7.

The additive inverse of any number is the opposite of that number. If a number is added to its additive inverse, the sum of both numbers becomes zero. In other words, the additive inverse is the number that is added to a given number to make the sum zero. That is what you add to a number to get zero is called its additive inverse.

That is, Number + Additive inverse = 0

OR

The negative of a number.

Now we are given the number

3/7

So, the additive inverse of 3/7:

⇒3/7 + Additive inverse = 0

⇒Additive inverse = -3/7

Thus the additive inverse of is 3/7 is -3/7.

To know more about additive inverse, here

https://brainly.com/question/13715269

#SPJ4

There are x red counters and y blue counters in a bag. Two counters are chosen from the bag, at random. The probability of the counters both being blue is 57%. Work out the number of red and blue counters in the bag.

PLEASE HURRY !!!!

Answers

There are 12 red counters and 18 blue counters in the bag.

How to calculate the probability?

We can use the formula for conditional probability to find the number of red and blue counters in the bag.

The probability of both counters being blue is:

P(blue and blue) = P(blue | blue) * P(blue) = (y/ (x+y)) * (y-1) / (x+y-1) = 57/100

We can then use this equation to find the value of y:

y = ((x+y) * 57/100) / ((x+y-1) * 100/57)

We can also use the equation:

P(red | blue) = P(red and blue) / P(blue) = P(red) * P(blue) / P(blue) = x * y / (x+y)

We can then use this equation to find the value of x:

x = (57 * (x+y)) / (100 - 57)

Now we have two equations with two variables:

y = ((x+y) * 57/100) / ((x+y-1) * 100/57)

x = (57 * (x+y)) / (100 - 57)

We can use the first equation to solve for y in terms of x and substitute into the second equation:

x = (57 * (x + (((x+y) * 57/100) / ((x+y-1) * 100/57)))) / (100 - 57)

Solving for x, we get x = 12 and y = 18

Therefore, there are 12 red counters and 18 blue counters in the bag.

Learn more about probability on:

https://brainly.com/question/24756209

#SPJ1

Pleaseeeee helppp Asal nowww please help please help

Answers

Percentage of Phosphorus in Diphosphorus Trichloride is  36.8 %

What is Percentage ?

A figure or ratio stated as a fraction of 100 is called a percentage. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

The Latin phrase "per centum," which meaning "by the hundred," was the source of the English word "percentage." Fractions having a denominator of 100 are called percentages. In other words, it is a relationship where the value of the entire is always assumed to be 100.

Finding the percentage of a whole in terms of 100 is what percentage calculation refers to. A percentage can be found in one of two ways:

use the unitary approach.by adjusting the fraction's denominator to 100.It should be noted that when the denominator is not a factor of 100, the second technique of percentage calculation is not applied. In these situations, we employ the unitary technique.

Formula of DiPhosphorus trichloride.

P₂Cl₃

Molar mass of the compound = 31 * 2 + 35.5* 3 = 168.5

Percentage of Phosphorus in the compound is = (62/168.5) *100 = 36.8 %

To learn more about Percentage refer to :

brainly.com/question/608939

#SPJ1

How many solutions does the equation have 2x y 5 and 4x 2y 10?.

Answers

The answer is the equation can have many solutions. the given equation is the linear equation that may have infinitely many  solutions.

The equation given in the question is  

2x + y – 5 = 0  

4x + 2y – 10 = 0  

For the given equation it can be written as:  

[tex]a_{1} x+ b_{1}y - c_{1} = 0[/tex]

[tex]a_{2} x+ b_{2}y - c_{2} = 0[/tex]

Here, [tex]a_{1}[/tex] = 2, [tex]b_{1}[/tex] = 1, [tex]c_{1}[/tex] = −5  

[tex]a_{2}[/tex]= 4, [tex]b_{2}[/tex]= 2,  [tex]c_{2}[/tex]= −10

So, according to the question given for the equation:

[tex]\frac{a_{1} }{a_{2}} = \frac{2}{4} = \frac{1}{2}[/tex]

[tex]\frac{b_{1} }{b_{2}} = \frac{1}{2}[/tex] and

[tex]\frac{c_{1} }{c_{2}} = \frac{-5}{10} = \frac{1}{2}[/tex]

⇒  [tex]\frac{c_{1} }{c_{2}} = \frac{b_{1} }{b_{2}} = \frac{c_{1} }{c_{2}}[/tex]

From the above solution, we see the end result for the equation given so, we can say that this given equation can have infinitely many solutions.

TO know more about Linear equation:

brainly.com/question/2030026

#SPJ4


An astronomy club charges a one time registration fee of $25 plus an annual of $16. kallik spent a total of $201 in membership fees
a. write an equation to model the numbers of years over which kallik was a .ember of the club.
b. solve your equation to determine the number of years for which kallik was member of the club ​

Answers

a) The equation would be 25 + 16x = 201.

b) Kallik was a member of the club for 11 years.

What is an equation?

An equation is a mathematical statement that shows the equality of two expressions. It consists of two expressions separated by an equal sign (=), and the goal is to find the values of the variables that make the equation true. Equations can be used to model real-world situations, to describe relationships between variables, or to solve problems.

a. Let's call the number of years that Kallik was a member of the club "x". The equation to model the membership fees can be written as follows:

25 + 16x = 201

b. To solve for the number of years, we can subtract 25 from both sides of the equation:

16x = 176

And then divide both sides by 16:

x = 11

So Kallik was a member of the club for 11 years.

Hence,

a) The equation would be 25 + 16x = 201.

b) Kallik was a member of the club for 11 years.

To learn more about the equation, visit:

https://brainly.com/question/16107051

#SPJ1

The hypotenuse of a right triangle is 15 cm. The sum of the other two sides is 21cm. Find the length of the other two sides of the triangle.

Answers

Answer:

Four folk love legends: "Cowhand and Weaver Girl", "Meng Jiangnu crying at the Great Wall" (cry Wan Xiliang), "Liang Shanbo and Zhu Yingtai", "The Legend of the White Snake", the author does not know

The development history of the Four ancient Chinese folk legends: China is a country with a vast territory and abundant resources and a long history, which contains extremely rich national cultural heritage. Among them, the four most Chinese ones are the famous "Cowhand and Weaver Girl", "Meng Jiangnu", "Liang Shanbo and Zhu Yingtai" and "The Legend of the White Snake". The most widespread, the most influential.

Brief introduction: the gigolo knit legend began in the book of songs, cable ":" Qi he vega ", "Huan he cow". "Nineteen Ancient Poems · Long Distance Star" has called the cowherd and weaver girl husband and wife. Ying Shao "custom" Yi wen: "Zhinv Tanabata when crossing the river, make magpie bridge, legend has it that the magpie head without reason all Kun, because beam (note: bridge) to cross Zhinv also. The story has been preliminarily formed and combined with the Qixi Festival custom.

The legend of Meng Jiangnu originated from the record of Qi Liang's wife refusing to hang herself in the area of the Marquis of Qi and adhering to the rules of etiquette in the Zhuan. Later, it was added in the Dangong that "Duke Zhuang of Qi attacked Ju and took away (tunnel) and Qi Liang died. The weeping wife who greeted his coffin on the road is the archetype of the story. Han Liu Xiang's Biography of Liannu (IV) : "Qi Liangzhu died in battle, his wife cried in the city, ten days the city collapsed." And Tang (anonymous) "carved jade collection" record "Qin when Yan Qi Liang, married Meng Chao female Zhongzi wife, because good was built the Great Wall officials killed, Zhongzi cry under the Great Wall, the city collapsed. It is known that this legend was popular in the Tang Dynasty, but Meng Zhongzi and Qiliang were renamed Meng Jiangnv and Fan Xiliang in the legend. The story of Butterfly lovers first appeared in Tang's "Ten Taoist and Four Tibetan Records", which recorded the story of Liang and Zhu "having a taste of schoolmates" and "sharing the tomb". There are more detailed records in Xuanbaozhi of late Tang Zhang Reading. To the Ming Dynasty Feng Menglong's "Ancient and modern novels", and added to the British Taiwan confused belt, Liang Shanbo doubts and butterflies.

The story of White Snake came into being the latest. The origin of the story is as follows. It originates from the Three Towers of West Lake. To the Ming Dynasty Feng Menglong's "Lady White Forever Town Leifeng Pagoda" (" Warning Word "), the story has been preliminarily finalized.

Answer: 7.5 cm; 1.6 cm

Step-by-step explanation:

If that is a right triangle, it is probably a 30 60 90 triangle and we can use this special property to say that the leg facing the 30 degree angle is half of the hypotenuse. The hypotenuse measures 15 cm, which means we can say that the leg facing the 30 degree angle is 7.5 cm. Next, since 21 cm is the sum of the 2 legs, we can add 21 cm to 15 cm to get 36 cm. Now that we know our hypotenuse, perimeter, and one of our legs, we can find the other leg by using basic algebra to get 1.6 cm. Hopefully this helps! I'm not sure tho.

If a newer television, with an aspect of 16:9, has an advertised size of 65 inches, what is the
height of the television?

Answers

Using Pythagoras theorem, The height of the television is 56.65 inches.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Using Pythagoras theorem,

d² = (ax)² + (bx)²

= x² (a² + b²)

⇒ x = √(d²/a²+b²)

length = a . √(d²/a²+b²)

width = b. √(d²/a²+b²)

with an aspect of 16:9,

has an advertised size of 65 inches,

a = 16, b = 9, d = 65

length = 56.65 inches

width = 31.87 inches

To learn more about Pythagoras theorem from given link

https://brainly.com/question/343682

#SPJ1

I need help with algebra 2 hw

Answers

The graph of the inequality x - 6y > 18 is plotted and attached

How to graph the inequality

Inequality are graphed considering the table of values formed by assigning several values for x

x - 6y > 18

rearranging the equation will result to

x - 18 > 6y

y < x/6 - 3

for x = -6, y < -6 / 6 - 3 = -4

for x = 0, y < 0 / 6 - 3 = -3

for x = 6, y < 6 / 6 - 3 = -2

Table of value

x      y

-6    -4

0      -3

6      -2

the equation: y < x/6 - 3 will have a dashed line and shading is below the line because it has a less than sign

Learn more on inequality at:

https://brainly.com/question/24372553

#SPJ1

What degree measure is equivalent to 7x/11?
Enter your answer, rounded to the nearest hundredth of a degree, in the box.

Answers

The degree measure is which is equivalent to [tex]\frac{7 \pi}{11}[/tex] is 114.54°.

What is meant by degree measure?

The size of an angle is measured in terms of a unit of measurement. 1 degree is equivalent in magnitude to 1/360 of a whole rotation.

A rotational angle is said to have a measure of one degree, denoted by the symbol 1°, if it is (1/360)th of a revolution from the initial side to the terminal side. Radian scale. A unit circle's unit arc's centrally subtended angle is said to have a measure of 1 radian.

The radius of an arc divided by its length is known as the radian measure (r). Radian measure is a pure number that doesn't require a unit symbol because it is the ratio of one length to another.

Convert radians to degrees, multiply by 180/π, since a full circle is 360° or 2π radians.

= [tex]$ \frac{7 \pi}{11} \times \frac{180}{\pi}[/tex]

= [tex]$ \frac{7 }{11} \times 180[/tex]

=[tex]$ \frac{1260}{11}[/tex]

= 114.54°

Therefore, the correct answer is 114.54°.

To learn more about degree measure refer to:

brainly.com/question/25770607

#SPJ1

Full question:

What are the steps to getting the answer

Answers

Step-by-step explanation:

what happen if a body is projected at an angle of 75 to the horizontal then it is a projector Once More with the same initial speed as an angle of 15 so he wants me to calculate the horizontal Range and I don't know have

Answer:

y > -14

Step-by-step explanation:

4y < 5y + 14

Subtract 5y from both sides of the < sign:

4y - 5y < 5y - 5y + 14

-y < 14

Divide both sides by -1:

y > -14 is the answer.

Note, in the last step, the sign flips because we are dividing by a negative

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

always remember :

the sum of all angles in a triangle is always 180°.

so, in triangle EFD

180 = E + F + D = 37 + 105 + D

D = 38°

since we know that the combination (sum) of B and D is 90° (right angle),

B + D = 90

B + 38 = 90

B = 52°

and now we look at the triangle ABC and its angles to get A, which then in turn gets us I of the triangle A(BD)I.

180 = A + B + C = A + 52 + 83

A = 45°

and that means for A(BD)I

180 = A + (B + D) + I = 45 + 90 + I

I = 45°

FYI : that means that the total triangle is an isoceles triangle (both legs are equally long : AB = DI).

PR
Kylie and Rhoda are solving the equation

4(x-8)= 7(x-4).

• Kylie uses a first step that results in

4x-32= 7x- 28.

• Rhoda uses a first step that results in

4x8=7x-4.

Which statement about the first steps Kylie and Rhoda
use is true?

Rhoda uses the distributive property, resulting in a correct
first step

Rhoda uses the associative property, resulting in a correct
first step.

Kylie uses the distributive property, resulting in a correct first
step.

Kylie uses the associative property, resulting in a correct first
step.

Answers

The equation's solution yields -4/3 for x. Rhoda is the wrong, for this reason.

A formula is what?

When two expressions are connected with the equals sign (=) in a mathematical formula, it expresses the equality of the two expressions.

Equation given: 4(x-8)=7 (x-4).

Here is how to answer the given equation:

4x-32=7x-28

7x-4x=-32+28

3x=-4

x=-4/3

Kylie starts off with a first step that yields the result 4x-32=7x-28. Using a first step that yields 4x-8=7x-4, Rhoda uses.

The equation's solution yields -4/3 for x. Rhoda is the wrong, for this reason.

To learn more about  equation refer to:

brainly.com/question/14686792.

#SPJ1

What is the nature of the roots of the quadratic equation when b2 4ac is greater than zero and a perfect square?.

Answers

When the discriminant b² - 4ac is greater than zero and also a perfect square, the nature of roots of the quadratic equation ax² + bx + c = 0 will be real and distinct.

A perfect square means that the discriminant can be written as a product of two equal factors, for example (x+y)^2 = x^2 + 2xy + y^2. In this case the roots can be easily calculated by using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

In this scenario, the square root of the discriminant will be a real number and not a complex number, and the equation will have two distinct solutions for x. This means that the graph of the equation will cross the x-axis twice.

It's important to notice that the values of a,b and c also play an important role in the nature of the roots.

To know more on roots of quadratic equation

https://brainly.com/question/26926523

#SPJ4

The middle school dance team had 3 separate car washes on Saturday to raise money for new uniforms. The Main Street location raised $50 more than the Back Street location. The Washington Street location raised $50 more than half the amount raised at the Back Street location. How much did the dance team raise at each location if they raised a total of $600?

Answers

Answer:

Step-by-step explanation:

1/3x + y =-1
1/3x + 8y=13
solving system of equation by substitution
PLS SHOW WORK

Answers

The requried solution of the given system of equations is x = -9 and y = 2.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
1/3x + y = -1  - - - - - - -(1)

1/3x + 8y = 13 - - - -- - (2)

Subtract equation 1 from 2,
8y - y = 13 + 1
y = 2

Now,
1/3x + 2 = -1
x = -9

Thus, the requried solution of the given system of equations is x = -9 and y = 2.

Learn more about simultaneous equations here:

https://brainly.com/question/16763389

#SPJ1

A linear relationhip i hown in the table. Time (hour) 2 4 6 8 Ditance (mile) 4 8 12 16 I the linear relationhip alo proportional? Explain

Answers

the of is .

The formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides

Given data ,

Let the be

Now , the value of k is determined by

The values of Time be x = { 2 , 4 , 6 , 8 }

The values of distances be y = { 8,16,24,32 }

Now , the constant of proportionality is given by

y = kx

Divide by x on both sides of the equation , we getk = y/x

Substituting the values in the equation , we get

k = 8/2

k = 4

And , k = 16/4

k = 4

Therefore , the value of is .

Hence , the constant of is

To learn more about click :

https://brainly.com/question/7096655

#SPJ4

The value of constant or K is found to be 4.

The formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides

Given data ,

Let the be

Now , the value of k is determined by

The values of Time be x = { 2 , 4 , 6 , 8 }

The values of distances be y = { 8,16,24,32 }

Now , the constant of proportionality is given by

y = kx

Divide by x on both sides of the equation , we getk = y/x

Substituting the values in the equation , we get

k = 8/2

k = 4

And , k = 16/4

k = 4

Hence , the constant of is 4.

To learn more about constant click :

brainly.com/question/29174258

#SPJ4

question 1: Harry has 4 ⅞ of a pizza and Mary has 1 ⅞ of a pizza. What is the estimated total of pizza they have together? ________

question 2: Sally has 5 ⅜ of a candy bar. She gives Omar 2 1/4 of the candy bar. Using benchmark fractions, determine how much of the candy bar Sally has left. Remember to estimate. _________

PLEASE HELP ASAP!!!

Answers

Answer:

[tex]6\frac{3}{4}[/tex] and [tex]3\frac{1}{8}[/tex]

Step-by-step explanation:

I don't know what benchmark fractions are but here's what I did

[tex]4\frac{7}{8} + 1 \frac{7}{8} = 5 \frac{14}{8} = 6 \frac{6}{8} or 6\frac{3}{4}\\5\frac{3}{8} - 2\frac{1}{4} = 5\frac{3}{8} - 2\frac{2}{8} = 3\frac{1}{8}[/tex]

The first question is straight forwards since the fractions have the same denominator, so its simply adding and simplification.

The second questions needs you to find a common denominator (8) and swap the fraction to that of 8 before subtracting

Why is it called a partial sum?.

Answers

The partial sum is called  the sum of part of the sequence, they are also called as finite series.

Since adding all the terms does not yield the sums of these series, we can study their behaviour by looking for patterns in the partial sums. A partial sum is the total of a limited number of the series' terms. To see how the infinite sum behaves, we can examine a collection of these sums. The index of the final term in the sum is used to denote each of these partial sums. For instance, is the total of an infinite series' first six terms.

The first five partial sums are in the following order: 1, 4, 9, 16, and 25. This trend will persist, and the terms will keep expanding without limit. In other words, because the infinite total is infinitely huge, the partial sums keep increasing.

Learn more about Partial sum:

https://brainly.com/question/28173651

#SPJ4

How do you find the standard form of a polynomial function?.

Answers

The degree of the polynomial is significant when writing it in its standard form since the terms are written in descending order of the power of x.

The formula for a polynomial in its standard form is [tex]f(x)=a_a x^n+a_{n-1} x^{n-1}+a_{n-2} x^{n-2}+\ldots . .+a_1 x+a_0[/tex]

A polynomial is written in the standard form when the term with the largest power of the variables comes first, followed by the subsequent terms in decreasing order of the variable power. Leading term and leading coefficient are terms used to describe the first term and its coefficient, respectively, in the polynomial's standard form.

According to the definition of a polynomial in standard form, exponents must be written in decreasing order. The standard form of polynomials is used to facilitate calculations. Exponents must be expressed in decreasing order in order to be considered a polynomial in standard form. To make calculations easier, polynomials are expressed in their standard form.

To learn more about standard form visit:

https://brainly.com/question/15313798

#SPJ4

The trees on two different plots of land are tested for disease. The results are shown in this table. Enter numbers in the boxes so that the two-way table represents these results.

Answers

Answer:

The values are calculated with the help of table.

Step-by-step explanation:

We are given the following information in the question:

A table is shown showing trees on two different plots of land which are tested for disease.

     Tree:        1           2           3           4          5           6          7        

      Plot:         A          A           B           B         B           A          B

Disease:        Y          N           Y           Y          Y          N         N

We have to find:

Calculating from the table, we can fill the values as:

                                              Plot A                Plot B

Disease Present                        1                          3

Disease not Present                2                          1

Please help me again

Answers

The number from greatest to least in the given set of numbers are:

-14/5 < -2.25 < 1 ¼ < 3/2

What is a set of numbers?

A group of numbers is referred to as an element and makes up a set of numbers. The collection of numbers in the set may be infinite or finite. Roster notation is a method for indicating sets. For example, the set "2,31" contains the elements 2 and 31.

We need a way to say which numbers are included when a set has an infinite number of elements because it is impossible to list them all. Our number system is based on a few well-known infinite sets.

Given mixed fractions and decimals:

-14/5, -2.25, 1 ¼, 3/2

So,

-14/5 = −2.8

-2.25

1 ¼ = 1.25

3/2 = 1.5

As, −2.8 < -2.25 < 1.25 < 1.5, The numbers from greatest to least are:

-14/5 < -2.25 < 1 ¼ < 3/2.

Learn more about set of numbers

https://brainly.com/question/17714155

#SPJ1

Complete question:

How all work. Emani ubcribe to a Blind Box program that end her random gift from Japan every
month. The ubcription ha a one-time fee of $30 plu $9 per month and will continue
until he cancel. A. Emani plan to pend $210 or le from her ummer job on thi ubcription. Write an
inequality to olve for the number of month he will be able to purchae thi
ubcription

Answers

Emani will be able to purchase the subscription for a maximum of 5 months if she wants to spend $210 or less from her summer job.

The subscription has a one-time fee of $30 plus $9 per month, so the total cost per month is $9 + $30 = $39.

Emani plans to spend $210 or less from her summer job on this subscription, so we can write an inequality to represent this situation:

$39x <= $210

Where x is the number of months Emani will be able to purchase the subscription.

To solve for x, we need to divide both sides of the inequality by $39:

x <= (210/39)

x <= 5.38

So Emani will be able to purchase the subscription for a maximum of 5 months, if she wants to spend $210 or less from her summer job.

Note: This is an approximation, since x can't be a decimal. And if you round down to 5 months she will be able to spend $195.

Therefore, Emani will be able to purchase the subscription for a maximum of 5 months if she wants to spend $210 or less from her summer job.

To learn more about inequality,

Visit; brainly.com/question/30228778

#SPJ4

The subscription has a one-time charge of $30 and a monthly fee of $9, making the monthly cost total $9 + $30 = $39 for the subscription.

We can create an inequality to symbolize this circumstance since Emani intends to spend no more than $210 from her summer job on this subscription:

$39x <= $210

Emani will have the option to buy the subscription for x months.

Divide both parts of the inequality by $39 to find the value of x:

x <= (210/39)

x <= 5.38

I need help with this asap, and figuring out the blanks

Answers

Therefore, the expression mR > 90°, mS + mT 90°, mR > mT and mR > mS comes out to be true for the solution to the right angle triangle problem.

How do triangles function?

Triangles are polygons with three sides and three vertices. The triangle's angles are created by joining its three sides from ends to ends at such a single point. Three angles in the triangle combine to form a 180-degree angle.

Here,

An RST is a triangle.

This means that m∠R+m∠S+m∠T = 180° and m∠S+m∠T = 180° - m∠R.

It is given that mvR > m∠S + m∠T.

'- m∠R' '- (m∠S + m∠T)' 

The formula is changed to 180°-(mS + mT) and 180°-(mR + mS) by appending 180 degrees to both sides.

(m∠S + m∠T) - 180 degrees

The angle becomes 180° by multiplying m∠S + m∠T on both sides.

=>2(m∠S+m∠T) < 180°

=> m∠S+m∠T < 90°

M R > 90° because M ∠R + M∠ S + M ∠T = 180°.

Yet again, mvR > m∠S + mT.

=> "m∠R > m∠T," "m∠R > mS," etc.

This means that the first, second, third, and fifth options are correct.

The fact that m∠S = m∠T can only happen when m∠R=90° should be highlighted

This is why m∠S = m∠T is inaccurate.

Furthermore, there is not enough proof to prove that m∠S > m∠T.

Because of this, mS > mT is likewise incorrect.

To know more about triangle , visit

brainly.com/question/2773823

#SPJ1

Other Questions
The police department in your city was asked by the mayors office to estimate the cost of crime. The police began their study with burglary records, taking a random sample of 500 files. If the average dollar loss in a burglary, for this sample size 500 is $678, with a standard deviation of $560, construct the 95% confidence interval for the true average dollar loss in burglaries rounded to the nearest dollar amount. Alec buys a refrigerator priced at $820.33 . If the sales taxi s 10%,how much tax will Alec pay? Ishi bought a $6.95 canvas and 8 tubes of paint. She spent a total of $24.95 on the canvas and paints. Determine the cost of each tube of paint. Which example provides a complete scientific description of an object in motion? question 7 options: the hiker followed the north trail a distance of two kilometers in thirty minutes. The tiger had to run at 50 kilometers per hour across the field to catch the zebra. The hockey player sent the puck flying toward the north goal to score the winning point. The vibration of the jackhammer broke through the south-facing rock in under 10 seconds. Lazlo, a citizen of Minnesota, wants to file a suit against Nadji, a citizen of Ohio. The diversity of citizenship may be a basis fora.a federal court to exercise jurisdiction.b.any court to exercise jurisdiction.c.no court to exercise jurisdiction.d.the United States Supreme Court to refuse jurisdiction. some nations, such as the united states, are referred to as , meaning that they include people who are dissimilar in regard to social characteristics such as religion, income, or race/ethnicity. group of answer choices heterogeneous societies counterculture societies subculture societies homogeneous societies true/false. marketing communications entails the use of undifferentiated targeting approaches wherein entire markets are pursued and the marketing organization is not actively pursuing differentiation. The expression 6x + 6 represents the amount of money Kristine earns making x custom t-shirts. The expression x 1 represents her upfront costs. If x represents the number of t-shirts sold in both expressions, what is Kristine's profit when she sells 4 shirts? $27 $10 $30 $33 what is 10100 as a decimal number? What literary device is used when a writer refers to well known person or event from another piece of literature or history?. Listed below are the systolic blood pressures for a sample of six men aged 20-29 and for a sample of six men aged 60-69 Men aged 20-29: 117 122 129 118 131 123Men aged 60-69: 130 153 141 125 164 139Find the variance for each of the two sets of data then compare the variance. Round results to one decimal place.A) Men aged 20-29: 4.8% Men aged 60-69: 10.6%There is substantially more variation in blood pressures of the men aged 60-69.B) Men aged 20-29: 4.6% Men aged 60-69: 10.2 %There is substantially more variation in blood pressures of the men aged 60-69.C) Men aged 20-29: 7.6% Men aged 60-69: 4.7%There is more variation in blood pressures of the men aged 20 -29.D) Men aged 20-29: 4.4% Men aged 60-69: 8.3%There is substantially more variation in blood pressures of the men aged 60-69. what civilization ruled much of europe for nearly 6 centuries I need help with this solving system by elimination Match each image to thecorrect step of the cell cycle.MA7605InterphaseProphaseMetaphaseAnaphaseTelophaseCytokinesis What is the formula for Y form?. Help is greatly appreciated! Find the product of (3n-8)9n+649n-48n+649n-6416n + 16n +4 A large adult is teaching a small child to ice skate. The adult has five times the mass of the child. They stand facing each other on the ice and push against each other to coast backwards. Which of the following best describes the force of the adult on the child, the force of the child on the adult, and their initial velocities?A. The forces form an action-reaction pair, and the child velocity is five times the velocity of the adult and in the opposite direction.B. The forces form an action-reaction pair, and the adult velocity is five times the velocity of the child and in the opposite direction.C. The forces do not form an action-reaction pair, and the child velocity is five times the velocity of the adult and in the opposite direction.D. The forces form an action-reaction pair, and the adult and child coast away at velocities that are equal in magnitude but opposite in direction. Create a static method that: is called remove All returns nothing takes two parameters: an ArrayList of Strings called wordList, and a String called targetWord This method should go through every element of wordList and remove every instance of targetWord from the ArrayList. Create a static method that: is called appendPossum returns an ArrayList takes one parameter: an ArrayList of Integers . This method should: Create a new ArrayList of Integers Add only the positive Integers to the new ArrayList Sum the positive Integers in the new ArrayList and add the Sum as the last element For example, if the incoming ArrayList contains the Integers (4.-6,3,-8,0,4.3), the ArrayList that gets returned should be (4.3,4,3,14), with 14 being the sum of (4.3,4,3). The original ArrayList should remain unchanged. Solve for x (B) and (c) please