Help me solve the word problem below. Will mark brainliest.

Answer:

c = 112 , d = 29

Step-by-step explanation:

c and 68 are a linear pair and sum to 180° , that is

c + 68 = 180 ( subtract 68 from both sides )

c = 112

the 3 angles 30, 3d - 5 and 68 lie on straight line AOB and sum to 180° , so

30 + 3d - 5 + 68 = 180

3d + 93 = 180 ( subtract 93 from both sides )

3d = 87 ( divide both sides by 3 )

d = 29

Answer: 15 x 9 = 135

Answer:

a) 3⁶ • 5⁶

Step-by-step explanation:

Given expression,

→ (3 • 5)⁶

Let's simplify the expression,

→ (3 • 5)⁶

→ 3⁶ • 5⁶

Hence, the answer is 3⁶ • 5⁶.

Answer:

D. 9

Step-by-step explanation:

here you go

this is what my teacher gave me...

please mark brainliest...

The distance between the points is,  15.0.

What is distance between points?

The measurement of distance between two objects or points can be quantitative or occasionally qualitative. Distance in physics or common language can refer to a physical length or an assumption based on other factors.

The distance between two points in a plane is the length of the line segment separating the two points. Typically, the equation

d=√((x2 - x1)^2 + (y2 - y1)^2) is used to calculate the distance between two points. You can use this formula to get the separation between any two points on an x-y plane or coordinate plane.

The given points are, (7, -4) and (-8, -5).

We have to find the distance between this two points using the formula,

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Here,

[tex](x_1, y_1) = (7, -4) \\(x_2, y_2) = (-8, -5)[/tex]

Plug these values in the above formula,

[tex]d = \sqrt{(-8-7)^2+(-5-(-4))^2}\\d = \sqrt{(-15)^2+(-1)^2} \\d = \sqrt{225 + 1}\\ d = \sqrt{226} \\d = 15.03329\\d = 15.0[/tex]

Hence, the distance between given two points is 15.0.

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The time required for a Ford Raptor travelling at 75mph to travel 250 mile is 10/3 hours.

The speed of the Ford Raptor traveling is 75 mi per hour

Total distance to be covered is 250 mile

We need to calculate total time required to cover the diatance of 250 miles

Total time can be found by using the speed distance formula

As per the formula

speed = total distance covered / total time taken

Let total time be x

75 = 250/x

x = 250/75

x = 10/3

Therefore, the time taken for a Ford Raptor travelling at 75mph to travel 250 mile is 10/3 hours.

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Solution of expression 5²- 9 ÷ 3 using PEMDAS is 22.

Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction are referred to as PEMDAS in this context. Teachers in the United States constantly remind their students about the acronym PEMDAS, which stands for parentheses, exponents, multiplication, division, addition, and subtraction. BODMAS, which stands for brackets, ordering, division and multiplication, and addition and subtraction, is another acronym used by educators. A rule that specifies the right procedure to follow while evaluating a mathematical equation is known as the order of operations. Parentheses, Exponents, Multiplication and Division (from Left to Right), Addition and Subtraction are the steps that we can remember in that order using PEMDAS (from left to right).

Given,

Expression:

5²- 9 ÷ 3

Using PEDMAS,

Squaring,

25 - 9 ÷3

Dividing,

25 - 3

22

Solution of expression 5²- 9 ÷ 3 using PEMDAS is 22.

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For the given number of shares 1,239 and cost price per share is $19.36 and selling price per share $27.93 then gain percent is equal to

44.27%( nearest hundredth place).

As given in the question,

Total number of shares = 1,239 shares

Cost price per share = $19.36

Cost price of 1,239 shares = 1,239 × 19.36

                                          = $ 23987.04

Selling price per share = $27.93

Selling price of 1,239 shares = 1,239 × 27.93

                                              = $ 34605.27

Selling price > Cost price

Gain amount = 34605.27 - 23987.04

                    = $10618.23

Gain percent = [(10618.23) /(23987.04) ] × 100

                     = 44.2665..

                     = 44.27%

Therefore, for the given number of shares 1,239 and cost price per share is $19.36 and selling price per share $27.93 then gain percent is equal to 44.27%( nearest hundredth place).

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[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=29\\ \theta = 99 \end{cases}\implies A=\cfrac{(99)\pi (29)^2}{360} \\\\\\ A=\cfrac{9251\pi }{40}\implies A\approx 726.57~cm^2[/tex]

The sum of interior Angles of Hexagon is always 720°

Any hexagon's internal angles add up to 720° in all cases. By dividing 720° by 6, we may get the size of each interior angle of a regular hexagon. As a result, we have:

720°÷6 = 120°

In a regular hexagon, each inside angle is 120°.

An example of a regular hexagon with equal-length sides and angles is shown in the diagram below. By multiplying the six 120° angles together, we can demonstrate that the result is 720°.

Therefore, the interior angles of a hexagon are always added up to 720°.

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The slope of the line parallel to y = -3/2 x + 3 is -3/2.

The slope - intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).

The slope intercept form of an equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as y = mx + b.

Here , we are given that the line is parallel to y = -3/2x + 3  ---(i)

By comparing (i) with slope-intercept form of equation for a straight line. we get the slope of (i) as -3/2.

i.e., the slope of (i) is m= -3/2.

And we know that two parallel lines have same slope which gives the slope of the line parallel to (i) -3/2.

Therefore, the slope of the line parallel to y = -3/2 x + 3 is -3/2 .

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NOTE : The question given here is not complete. The complete question is given below.

Question: What is the slope of a line parallel to y= -3/2 x + 3?.

The values of the function when the piecewise function is given h(-7)=4,h(-2)=4,h(4)=12 and h(6)=14.

Given that,

The piecewise function are

h(x)=[tex]\left \{ {{-3x-11, for x < -7} \atop {4,for -7\leq x < 4 \atop {x+8, for x\geq 4}} } \right.[/tex]

We have to find the values of the function h(-7), h(-2),h(4) and h(6).

A function with different definitions at different intervals of x is known as a piecewise function, or f(x). Each section of the graph of a piecewise function corresponds to one of the definitions. The absolute value function is an excellent example of a piecewise function.

Take the function

h(-7)

-7 only satisfy in the function h(x)=4 for -7≤x<4

So,

h(-7)=4

Take the function

h(-2)

-2 satisfy the function h(x)=4 for -7≤x<4

So,

h(-2)=4

Take the function

h(4)

4 only satisfy in the function h(x)=x+8 for x≥4

h(4)=4+8=12

h(4)=12

Take the function

h(6)

6 only satisfy in the function h(x)=x+8 for x≥4

h(6)=6+8=14

h(6)=14

Therefore, The values of the function when the piecewise function is given h(-7)=4,h(-2)=4,h(4)=12 and h(6)=14.

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Answer:

f(x) = 13 [tex](3)^{x}[/tex]

Step-by-step explanation:

we require to find a and b

using ordered pairs from the table and substituting into f(x)

f(x) = a[tex](b)^x}[/tex]

using (0, 13 )

13 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , then

a = 13

f(x) = 13[tex](b)^{x}[/tex]

using (1, 39 )

39 = 13[tex]b^{1}[/tex] = 13b ( divide both sides by 13 )

3 = b

f(x) = 13 [tex](3)^{x}[/tex]

Answer:

[tex]f(x)=13(3)^x[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9 cm}\underline{General form of an Exponential Function}\\\\$y=ab^x$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value ($y$-intercept). \\ \phantom{ww}$\bullet$ $b$ is the base (growth/decay factor) in decimal form.\\\end{minipage}}[/tex]

The y-intercept of a function is the y-value when x = 0.

From inspection of the table, the y = 13 when x = 0, so a = 13:

[tex]\implies f(x)=13(b)^x[/tex]

Substitute the ordered pair (1, 39) into the equation and solve for b:

[tex]\begin{aligned}f(1)=13(b)^1&=39\\13b&=39\\b&=\dfrac{39}{13}\\b&=3\end{aligned}[/tex]

Therefore, the equation for the given table is:

[tex]f(x)=13(3)^x[/tex]

Answer:

below

Step-by-step explanation:

Domain is the set of all x values a function can have

 this one goes from    - inf to the asymtope at x = 2

(-∞, 2)     domain

range is the y values the function can have

   looks like 0   to - inf

(- ∞, 0]       ( but it COULD be  ( -∞, 0)    <===cannot tell from graph)

The mean of the data calculated by the standard method is 67.4  .

The given data set is:

82, 75, 48, 78, 54

To find the mean we have to find the total value of all the data together.

Total value = 82 + 75 + 48 + 78 + 54 = 337

frequency of data(total number of independent data) = 5

Mean = total value / frequency

or, mean = 337 / 5 = 67.4

The mean is one of the metrics of central tendency, along with the mode and median. The mean is just the average of the values in the specified set. It suggests that values in a specific data set are evenly distributed.

In order to find the mean, the total values provided in a datasheet must be added, and the sum must be divided by the total number of values.

Therefore the mean of the data set is 67.4.

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Answer:

Step-by-step explanation:

32,54,52

The unit rate for miles per gallon is 24.4 miles/gallon.

Given,

Distance travelled, d = 30 1/2 miles.

Grace used 1 1/4 gallons of gasoline.

We need to find the unit rate for miles per gallon. It can be calculated by dividing no of miles by gallons of gasoline. So,

R = 30 1/2 / 1 1/4

R = 61/2/5/4 miles per gallon

R = 61/2 × 4/5

R = 24.4 miles per galllon.

Hence we get the answer as 24.4 ,miles per gallon.

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The given triangle is not an isosceles triangle because all sides have different lengths. So, Anthony is incorrect.

We are given a graph. The graph shows a triangle. The vertices of the given triangle are K, L, and M. The coordinates of the vertices of the triangle are K (-4, 8), L (-7, 4), and M (-2, 1). Anthony claims that the triangle ΔKLM is isosceles. We need to check whether he is right or not. We will find the lengths of all sides of the triangle using the distance formula between two points.

KL = √[(-4 + 7)² + (8 - 4)²] = √(9 + 16) = √25

LM = √[(-7 + 2)² + (4 - 1)²] = √(25 + 9) = √34

MK = √[(-4 + 2)² + (8 - 1)²] = √(4 + 49) = √53

The lengths of all sides of the triangle are different from each other. Hence, it is a scalene triangle.

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The distance between the two towns is 165 kilometers

The initial speed = 100 kilometer per hour

Time taken = t hours

We know,

Speed = Distance / Time

Distance = Speed × t

Distance = 100 × t

New speed = 110 kilometer per hours

He saves 9 minutes

9 minutes = 9/60 hours

The time taken = t - 9/60

The distance = 110 × (t - 9/60)

= 110t - 33/2

Then the equation will be

100t = 110t - 33/2

110t - 100t = 33/2

10t = 33/2

t = 33/2 ÷ 10

t = 33/2 × 1/10

t = 1.65 hours

Then the distance = 100 × t

= 100 × 1.65

= 165 kilometers

Hence, the distance between the two towns is 165 kilometers

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If the end behavior is increasing to the left and increasing to the right, the function must be of an even degree and must have a positive leading coefficient.

Here, we are given a function whose end behavior is increasing to the left and increasing to the right.

This will happen when the degree of the function is even. For example, if we have a quadratic function- a[tex]x^{2}[/tex] + bx + c, the graph of the given function will either be increasing to the left and increasing to the right or decreasing to the left and decreasing to the right.

Whether it is increasing or decreasing will depend on the leading coefficient or the coefficient of the highest power of the independent variable.

If the leading coefficient is positive, the end behavior will be increasing, whereas if its negative, it'll be decreasing.

Thus, If the end behavior is increasing to the left and increasing to the right, the function must be of an even degree and must have a positive leading coefficient.

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Answer:

2

Step-by-step explanation:

The density of the drink is approximately 1.04 g/cm³.

Density is the ratio of mass and volume.

density = mass/volume

To work out the density of the drink, you will need to calculate the total mass of the drink and then divide it by the volume of the drink.

First, you can calculate the mass of the grape juice by multiplying the density of grape juice by the volume of grape juice:

Mass of grape juice = Density of grape juice x Volume of grape juice

= 1.07 g/cm³ * 35 cm³

= 37.45 grams

Then, you can calculate the mass of the fruit syrup in the same way:

Mass of fruit syrup = Density of fruit syrup x Volume of fruit syrup

= 1.6 g/cm³ x 25 cm³

= 40 grams

Finally, you can calculate the mass of the carbonated water in the same way:

Mass of carbonated water = Density of carbonated water x Volume of carbonated water

= 0.99 g/cm³ * 310 cm³

= 308.9 grams

To find the total mass of the drink, you can add the mass of the grape juice, the mass of the fruit syrup, and the mass of the carbonated water:

Total mass of drink = 37.45 grams + 40 grams + 308.9 grams

= 386.35 grams

To find the density of the drink, you can divide the total mass of the drink by the volume of the drink:

The density of drink = Total mass of drink / Volume of drink

= 386.35 grams / 370 cm³

= 1.04 g/cm³

Therefore, the density of the drink is approximately 1.04 g/cm³.

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The dimensions that minimize the cost of building the tank are r ≈ 6.5 ft and h ≈ 26 ft

What do you mean by cost?

The total cost becomes

T = ucSc + 2ucSh

   = 2ucπrh + 8ucπr²

We need to eliminate h . The volume from the question gives a way out.

4640 = 4/3πr³ + πr²h

  h = 4640/πr² - 4r/3

substitute into the formula for total cost gives, after simplifying

  T =  16ucπr²/3 +  9280uc/r²

differentiating with respect to r , we get

  dT/dr = 32/3Ucπr - 9280Uc/r²

at extrema

dT/dr = 0

⇒ 32/3Ucπr = 9280Uc/r²

 r = ∛870/π ≈ 6.5 ft

To confirm that r is a minimum value, carry out the second derivative test

   d²T/dr² = 32Ucπ/3 +  18560/r³

substituting ∛870/π, we get that d²T/dr² > 0  confirming that minimum value

To find h , recall that

 h = 4640/πr² - 4r/3

substituting r , we get h ≈ 26.0 ft as the corresponding minimum height.

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The amount of money that Alonso has invested in these accounts is given as $9000 and $21000

We have to represent the percentages as a and b, then multiply 100 at the right hand side of the equation

we would have

7a + 5b = 1680 * 100

7a + 5b = 168000 ---- 1

From the amount that Alonso has to invest we would have

a + b = 30000

where b = 30000 - a   ---- 2

We have to put the value of b in equation a

7a + 5(30000 - a) = 168000

7a + 150000 -5a = 168000

7a - 5a = 168000 - 150000

2a = 18000

a = 18000 / 2

= $9000

From equation 2

b = 30000 - 9000

= $21000

The amount that was invested in each of the accounts are

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The critical value will be +- 1.96.

What is critical value?

A crucial value delimits areas of a test statistic's sampling distribution. Both confidence intervals and hypothesis tests take these values into account.

Main body:

sample size is 10.

if you use z-scores, and it appears that you have to, since you don't know the mean or standard deviation of your population, your mean is 0 and your standard deviation is 1.

at 95% confidence level, 100% - 95% is your alpha.

that makes it equal to 5%.

divide that by 2 and you have half your alpha on the left end of the confidence interval and half on the right end.

that makes it 2.5% on each end.

2.5% is the same as .025 in decimal form.

look up a z-score to the left of .025 to get a z-score of -1.959963986 which can be rounded to -1.96.

since the normal distribution is symmetric about the mean,

Therefore your critical z-score is plus or minus 1.96.

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Answer:

Step-by-step explanation:

807

Answer:

408

Step-by-step explanation:

3 x 19 = 57

x 14 = 798

+ 18 = 816

divided by 2 = 408

The value of the expression is -4.

Question:

Evaluate the expression. 4−[(11+12(−2)÷6)+1] What is the value of the expression? Enter your answer in the box.

What is an expression?

A mathematical expression is a phrase containing a minimum of two numbers or variables and a minimum of one mathematical operation. It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: (Mathematical Operator, Number/Variable, Expression)

4−[(11+12(−2)÷6)+1]

Simplify parenthesis first followed by box brackets

=4-[(11 -24÷6)+1]

=4-[(11-4+1]

=4-8=-4

So, the value of the expression is -4.

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As per the given data about the group of student, total number of students polled about the technology they own is equal to 99.

As given in the question,

Let 'n(U)' represents the total number of students polled about the technology they own.

Number of students own cell phone = 69

Number of students own a computer = 45

Number of students own a iPod = 23

Number of students own nothing of the above items = 4

Number of students own all three items = 34

Number of students own a cell phone and an iPod but not computer = 8

Total number of students polled  

= 69 + 45 + 23 + 4 + 34 - 8

= 99

Therefore, for the given data about the group of student, total number of students polled about the technology they own is equal to 99.

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Answer:12.5 pieces

Step-by-step explanation:2/5 as a decimal is .4.      

5/.4=12.5