What is the bare minimum needed to write the equation of a line?
Answer:
Two points A(x,y) B(x₂,y₂) or One point A(x,y) and gradient(slope).
Step-by-step explanation:
Which is the best first step in evaluating the expression 1/2 |2x² - 3| for x = -2?
a. Find the absolute value of 5
b. Square -2
c. Multiply by 1/2
d. Subtract 3
Answer:
b. Square -2
Step-by-step explanation:
You want to know the first step in evaluating 1/2 |2x² - 3| for x = -2.
Order of operationsThe Order of Operations tells you the first step is to evaluate expressions inside the innermost grouping symbols. Here, that means you want to evaluate the expression 2x² - 3.
Once you have identified that expression, you start by evaluating terms with exponents. That term here is x². When x=-2, the first step is to square -2.
__
Additional comment
After you get x² = 4, then you evaluate the product 2(4) = 8, and then the difference 8 -3 = 5. Then the absolute value is determined |5| = 5, and finally the product with 1/2: (1/2)(5) = 5/2.
The correct option is option b. It can be obtained by following the order of operation BODMAS.
What is the order of operation?
To solve any mathematical expression, the BODMAS rule is used. The full form of BODMAS is Bracket Order DIvision Multiplication Addition Subtraction. It can be simplified as, to solve the Mathematica expression first open all brackets, then powers, then division, then multiplication, then addition, and finally subtraction.
Now, consider the following expression:
1/2 |2x² - 3|
Now, substitute -2 for x in the above expression.
1/2 |2(-2)² - 3|
In the above expression there is no bracket hence the next step is solve power of -2.
Hence, the first step of solving the above expression is square -2.
Hence, the correct option is b. It can be obtained by following the order of operation BODMAS.
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give formular for the area of the square?
Answer:
area = base x height
Step-by-step explanation:
You multiply the base of the square and the height of the square and you get the area of it.
2 exercises for 20 points!!!! please please help mee i don't understand:(((
The first figure is an example of a solid polyhedron,
Name of the bases: PONMQ, KJIHL
Name of the faces: HINM, IJON, JKPO, KPQL, LNMQ.
Name of the edges: HI, IN, MN, MH, LH, LQ, QM, LK, KP, PQ, KJ, JO, OP, JI, IN, ON
Name of the vertices: H, I, J, K, L, M, N, O, P, Q.
what is a solid polyhedron?
If all of the sides of a 3-dimensional solid are flat, it is a polyhedron. Soccer balls, prisms, bricks, houses, and pyramids are all real-world polyhedrons. These shapes all have flat sides. If a shape has any curved sides, it is no longer a polyhedron.
As the definition of the solid polyhedron says that if any shape has any curved sides, then it cannot be a solid polyhedron.
The second figure has curved surface, so it can't be a solid polyhedron.
Hence, the first figure is an example of a solid polyhedron,
Name of the bases: PONMQ, KJIHL
Name of the faces: HINM, IJON, JKPO, KPQL, LNMQ.
Name of the edges: HI, IN, MN, MH, LH, LQ, QM, LK, KP, PQ, KJ, JO, OP, JI, IN, ON
Name of the vertices: H, I, J, K, L, M, N, O, P, Q.
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a study is conducted to show that college women, on average, gain more weight than college men during their first year of college. the study is completed and reports a p-value of 0.001 what conclusion can be drawn?
From given report, on average college women gain more weight than college men during their first year of college.
In this question, we ahve been given a study is conducted to show that college women, on average, gain more weight than college men during their first year of college.
The study is completed and reports a p-value of 0.001
We need to write the conclusion for above situation.
We can see that the results are statistically significant.
And from given p-value, we can say that on average college women gain more weight than college men during their first year of college.
Therefore, on average college women gain more weight than college men.
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. melitta found out that if she walks really fast during her morning exercise, she can cover 2 1/4 miles in 3/4 of an hour. how fast is she walking in miles per hour?
Melitta found out that if she walks really fast during her morning exercise, she can cover 2 1/4 miles in 3/4 of an hour.
Mellita is walking with a coverage of 2.8 miles per hour. We simply need to know how far she covers in an hour to calculate her walking speed in miles per hour.
Time taken to complete 2~1/4 miles is 3/4 of an hour. This is the time she can beat, so we have to find for the remaining 1/4th half of 2~1/4 miles i.e
Miles she can cover in 1/4 of hour = 1/4 * 2~1/4
= 1/4 * 9/4
= 9/16 miles.
Now, Add this to the miles that she can cover, i.e 2~1/4
= 2~1/4 + 9/16
= 9/4 + 9/16
= (36+9)/16
= 45/16
= 2.8 miles.
Hence, Melitta can walk 2.8 miles per hour.
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By first finding tan 0, calculate the size of angle 0
Give your answer in degrees to the nearest integer.
[tex]\tan \theta=\frac{7}{16} \\ \\ \theta=\arctan(7/16) \approx 24^{\circ}[/tex]
a box contains 5 white balls and 6 black balls. two balls are drawn out of the box at random. what is the probability that they both are white?
The probability of getting 2 white balls is 2/11.
What is probability?
The ratio of good outcomes to all possible outcomes of an event is known as the probability. It has a range from 0 to 1.
Probability(Event) = Favorable Outcomes / Total Outcomes
Main body:
total balls = 5+6 =11
1st try:
P(white balls) = 5/11
2nd try:
as there is no replacement,
no. of white balls = 4
total balls =10
P( white ball) = 4/10
Now multiplying both the result = (5/11)*(4/10)
P( WHITE BALLS) = 2/11
Hence answer is 2/11.
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the mean of 4 number is 70 when a fift number is included the mean of the five number is 80 what is the fifth number
The fifth number is 120
the fifth number can be calculates as follows
mean = [tex]\frac{sum of each value in the population}{number of values in the population}[/tex]
so the sum of the number is mean x number of values
sum of the 4 number = 70 x 4 = 280, while,
sum of the 5 number = 80 x 5 = 400
so the fifth number = 400 - 280 = 120
so, the fifth number is 120
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Under her cell phone plan, Meena pays a flat cost of $38 per month and $3 per gigabyte. She wants to keep her bill under $55 per month. Which inequality can be used to determine xx, the maximum number of gigabytes Meena can use while staying within her budget?
The.maximum number of gigabytes Meena can use while staying within her budget is 5 gigabytes
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal.
They are denoted by the symbols ≥ < > ≤.
Let the maximum gigabytes be x.
The inequality to illustrate the information will be:
38 + 3x < 55
Collect like terms
3x < 55 - 38
3x < 17
Divide
x < 17/3
x < 5 2/3
The maximum gigabytes is 5.
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Find the 7th term in the
sequence
-4,-8, -16, ...
Answer:
The answer is -256
Step-by-step explanation:
-4+-4=-8
-8+-8=-16
-16+-16=-32
-32+-32=-64
-64+-64=-128
-128+-128=-256
Hope this helps :)
line L is a reflection in the Y-axis of line K. Write an equation that represents line k
The required line is y = 1.5·x + 2 which represents line K.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
The given coordinate of two points on the line are;
(-2, 5) and (0, 2)
Line K is the line about which line L is reflected.
The coordinates of the point's image (x, y) after a reflection about
the y-axis is the point (-x, y).
Therefore, the coordinates of the points on the line K are;
(-2, 5) → (2, 5)
(0, 2) → (0, 2)
Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = 2, y₁ = 5
x₂ = 0, y₂ = 2
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute values in the equation, we get
⇒ y - 5 = (5 - 2)/(0 -2)[x -2]
⇒ y - 5 = -3/2(x-2)
⇒ y = 1.5·x + 2
Therefore, the required line is y = 1.5·x + 2 which represents line K.
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The amount of money Jason earns working at his job is directly proportional to the
number of hours he works. If Jason works 12 hours he earns $186. How many hours
would he need to work to earn $294.50?
The number of hours Jason needs to work to earn $294.50 is 19 days which was found by using the given data.
In mathematics, what is a proportion?A proportion is an equation that sets two ratios equal to each other. For example, if there is one guy and three girls, the ratio may be written as 1: 3. (for every one boy there are 3 girls) One-quarter are males and three-quarters are girls. 0.25 are males (by dividing 1 by 4)What is the formula for calculating proportion?By dividing the supplied numbers, we can discover the missing value. A proportion formula is as follows a:b::c:d = a/b = c/d, where a and d are extreme terms and b and c are medium terms.Given: Jason's pay is directly proportionate to the number of hours he works at his job. Jason works 12 hours a day and makes $186.
Number of hours he needs to work to earn $294.50 is given as
= (12 × 294.50)/186
= 19
Therefore, the number of hours Jason needs to work to earn $294.50 is 19 days.
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if the mean of a group of samples is 135 with a standard deviation of 45, what is the probability that a number would be less than 170?
Answer: C / .33
Step-by-step explanation:
A knife i three time the cot of a poon 9 poon and 12 knive cot £82. 80 work out the cot of one knife
The cost of one knife is £ 5.52.
Given, one knife is equal to three times spoon.
Let the cost of knife be x, and cost of spoon be y.
x=3y. ------(1)
9 spoons and 12 knives costs £82. 80, which can be written as
9(spoons)+12(knife)=£82. 80
9y+12x=£82. 80
9y+12(3y)=£82. 80
9y+36y=£82. 80
45y=£82. 80
y=£82. 80/45
y=£ 1.84
The cost of one spoon is £1.84.
We have to find the cost of one knife, we can substitute the value of y in equation 1 to get the cost of one knife.
x=3(1.84)
x=5.52.
Therefore, the cost of one knife is £5.52.
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Corrected Question
A knife is three times the cost of a spoon. 9 spoon and 12 knives cost £82. 80 work out the cost of one knife.
1. Which definition best describes an insurance premium?
a.
The amount you must pay out-of-pocket before your insurance company will begin to pay
b. The maximum amount the insurance company will pay for your injury
C. An extra level of coverage offered only to VIPS
d.
The monthly amount you pay in order to purchase insurance coverage
Answer:
D
Step-by-step explanation:
D the premium you pay is your bill for insurance
A line that includes the points (8, – 6) and ( – 8,f) has a slope of 1/8 . What is the value of f?
Answer: -8
Step-by-step explanation:
The line has a slope of 1/8, so the x increases by 8 for every 1 the y increases, and vice versa for a decrease.
The difference between the x coordinates 8 and -8 is 16. We then need to divide this by 8, because the x increases by 8 for every 1 the y increases, and we need to find the increase/decrease in y.
16/8 = 2
We need to subtract 2 from -6, giving us our answer, -8.
help meeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
$8551.56
Step-by-step explanation:
In the equation
[tex]A=P(1+\frac{r}{n})^(nt)[/tex],
P is the principal (in this case, the amount loaned to Erica), r is the interest rate, n is the number of times compounded per year (12 in the problem since there are 12 months in a year), and t is the time in years.
By plugging in our principal, rate (converted to a decimal), compounding periods and time, we have:
[tex]A=5300(1+\frac{0.08}{12})^(12*6)\\ A=5300(\frac{151}{150})^(72)\\ A=8551.561=8551.56[/tex]
please help meeeeeeee <33
Answer:
f(5) = 22; f(9) = 34
Step-by-step explanation:
f(5) = 3(5) +7
f(5) = 22
f(9) = 3(9) +7
f(9) = 34
A bookstore sells 7 books for $96.25. Which table represents the relationship between number of books and the total price?
Table C, which depicts the link between the quantity of books and the overall cost, is therefore the appropriate table.
Given,
7 books cost $89.25 in a bookstore.
Here, we need to locate the table that shows how the quantity of books and the overall cost relate to one another.
We must first determine the price of one book in order to determine the cost of the specified number of books.
To do that, we must divide the sum by the total number of books, from which we may calculate the price of a single book.
That works out to $89.25 for 7 books.
Consequently, the price of one book is,
=> $89.25/7
=> $12.75.
Consequently, based on the provided tables,
Cost of 8 books = $102 (8 x 12.75).
Cost of 9 books = $114.75 (9 x 12.75).
Table C, which depicts the link between the quantity of books and the overall cost, is therefore the appropriate table.
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Which triangle congruence postulate or theorem proves that these triangles are congruent?
There are ΔABC and ΔXYZ triangles that are congruent due to the SAS congruence postulate.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
As per the given question,
In ΔABC and ΔXYZ,
Side BC = Side YZ
m∠C = m∠Z
Side AC = Side XZ
According to SAS, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.
Thus, both triangles are congruent.
Hence, there are ΔABC and ΔXYZ triangles congruent due to the SAS congruence postulate.
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(f(x))/(x-5) produces a remainder of 8. Which is true?
A) f(5)=-8 B) f(5)=8
C) f(-5)=-8 D) f(-5)=8
Answer:
B) f(5) = 8
Step-by-step explanation:
Remainder Theorem
When a polynomial f(x) is divided by (x − c) the remainder is f(c).
Therefore, if f(x) is divided by (x - 5) the remainder is f(5).
As the remainder is 8, then f(5) = 8.
Gateway insurance sponsors all of the music events at city stadium. In return, the stadium receives $25,000 per event. How many concerts does city stadium have to host in order to receive $200,000 in revenue from gateway?.
No. of concert the stadium host to earn the revenue of 200000 is 8.
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.acc to our question-
Here the amount of per event is given and we need to find out the no. of event required to have the revenue of 200,000.Revenue per event × no. of event = Total revenue earned. 25000 × no. of event = 200,000 25000 * no. of event = 200,000/ 25000 25000 * no. of event = 8hence,No. of concert the stadium host to earn the revenue of 200000 is 8.
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Find the missing length indicated for 3 and 4
Marking brainlist
The missing length indicated for 3 and 4 are The value of x is 28, the value of x is 18
What is triangle similarity rule?
Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal, and their corresponding angles are congruent. Triangle resemblance is indicated here by the symbol "~"
If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.
Similar figures are described as items with the same shape but varying sizes, such as two or more figures. A hula hoop and the wheel of a bicycle are two examples of things whose shapes are similar to one another.
1. As we can see all the sides belongs to the same right-angled triangle
Therefore, ratio of similar sides will be equal
i.e.
[tex]\frac{12}{15} = \frac{x}{35}\\\\x=\frac{12}{15}(35)[/tex]
x=28
2. As we can see all the lines with red arrows are parallel to each other
Therefore, the corresponding angles will be equal
i.e.
[tex]\frac{8}{24}=\frac{x}{54}[/tex]
[tex]x=\frac{8}{24}(54)[/tex]
x = 18
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How many solutions does 5(3x+2)-2=4(4x-3) have ?
Answer:
One Solution
Step-by-step explanation:
5(3x+2)-2=4(4x-3)
15x + 10 - 2 = 16x - 12
15x + 8 = 16x - 12
15x = 16x - 20
-x = -20
x = 20
Consider the equation.
12 - 4x
3
Choose the correct option from each box to make the sentence true.
y =
The range of the function is
The domain of the function is
The y-intercept of the function is
The rate of change of the function is
Y in the expression represents the range of the function. Option A is correct.
Given that,
In the expression y = 12- 4x, what y = 3 represents in the function, is to be determined.
Range, it is the set of values that come out to an outcome for a certain mathematical operation.
here,
y = 12 - 4x
where, 12 = intercept , -4 = rate,
when y = 3 implies that, at the value of x, the outcome of the equation is 3 or it is said to be range.
Thus, Y in the expression represents the range of the function. Option A is correct.
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Write two equations that are equivalent to 3(x-4)= 18+2x-11
The equivalent equation of the given equation 3(x-4) = 18+2x-11 is given by,
x=19.
Given the mathematical equation is,
3(x-4) = 18+2x-11
Evaluating the equation we get,
3x-12 = 18+2x-11
3x-2x = 18-11+12, separating the variable and numbers
x = 19
Hence the equivalent equation of the given equation is x=19.
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Frank is wanting to create a scale model of the Eiffel Tower. The real Eiffel Tower is 984 feet tall and 328 feet wide at its base. If Frank's model is 12 inches tall, how wide (in inches) must his scale model be?
___ inches
Please Help Quickly
The base of the Eiffel Tower in Frank's model is 4 inches.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given, the height of the Eiffel Tower is 984 feet and the width at its base is 328 feet.
The ratio of height to base of the Eiffel Tower is given by:
984/328
=3
Therefore, the ratio of height to base for Frank's model should also be 3, Which is given by:
12/(base)=3
12/3=base
4 = base
Hence, the base of the Eiffel Tower in Frank's model is 4 inches.
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The table shows the amounts of storage in y (gigabytes) on a music playing device when there are x songs on the device. a. Write an equation that models the amount of storage left as a function of the number of songs. b. Interpret the slope and y-intercept of the line of fit.
Using linear regression, it is found that:
a) The equation is: y = -0.00408x + 16.
b) The interpretation of each coefficient is:
Slope: Each music takes up 0.00308 GB of space in the device.Intercept: The capacity of the device is of 16 GB.How to obtain the linear regression equation?The linear regression equation is obtained inserting the points given on the table at the end of the answer in a linear regression calculator.
Then the equation will have the following format of a linear function:
y = mx + b.
In which the coefficients are as follows:
Slope m: amount taken by a single music.Intercept b: initial capacity of the storage device.The points are given as follows:
(0, 16), (242, 14.8), (519, 14.1), (698, 13.5), (825, 12.7), (1009, 11.6).
Using the calculator, the equation is:
y = -0.00408x + 16.
Missing InformationThe problem is given by the image at the end of the answer.
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pls help the diagram shows a triangle
Answer:
v=53 degrees
Step-by-step explanation:
So since 180 degrees in tri, v-23+2v+v-9=180
Plus 23 and 9: 4v=212
v=53 degrees
