The equation above gives the Celsius temperature, C, corresponding to the Fahrenheit temperature, F. Find the Celsius temperature equivalent to 95° F.
A.
63° C
B.
67° C
C.
40° C
D.
35° C

If 25% of the cupcakes were chocolate, she would have bought 6 chocolate cupcakes

Answer:

hello!!

the answer would be 6 cupcakes.

I have this question on my session rn

have a great day

-Chilly

Answer:

(-7)³ or -7³

Step-by-step explanation:

Start with    (-7)²

                  ----------

                    (-7)^(-1)

Apply the rule that:

        x^a

     ----------- = x^(a-b)

        x^b

Then our:

                    (-7)²

                  ----------- = (-7)^(2 - [-1] )  = (-7)^(2+1) = (-7)³  

                    (-7)^(-1)

This answer could be left as is, or we could rewrite (-7)³ as

-7³, since (-1)³ = -1

Answer: FIRST OPTION

Step-by-step explanation:

According the quotient of powers property, when you have the division of two powers with the same base, then you must subtract the exponents.

Therefore, keeping the property above on mind, you have that the quotient is the shown below:

[tex]\frac{(-7)^2}{(-7)^{-1}}=(-7)^{(2-(-1))}=(-7)^{(2+1)}=(-7)^3=-343[/tex]

The average cost of a movie ticket in Japan is $17.99 and in Switzerland is $13.82.

To solve the problem of determining the average cost of a movie ticket in Japan and Switzerland, we need to set up a system of equations based on the information given. If we let J represent the cost of a ticket in Japan and S represent the cost of a ticket in Switzerland, we can formulate the following equations from the scenario provided:

3J + 2S = $81.61 (Cost for three tickets in Japan and two in Switzerland)

3S + 2J = $77.44 (Cost for three tickets in Switzerland and two in Japan)

Now we solve the system of equations using substitution or elimination method. For simplicity, we'll use the elimination method:

Multiply the first equation by 3 and the second equation by 2 to make the coefficients of S the same:

9J + 6S = 3 x $81.61 = $244.83

6S + 4J = 2 x $77.44 = $154.88

Subtract the second new equation from the first to eliminate S:

9J + 6S - (6S + 4J) = $244.83 - $154.88

5J = $89.95

Divide by 5 to solve for J:

J = $89.95 / 5 = $17.99

Now substitute the value of J in either original equation to solve for S:

3(17.99) + 2S = $81.61

53.97 + 2S = $81.61

2S = $81.61 - 53.97

2S = $27.64

Divide by 2 to solve for S:

S = $27.64 / 2 = $13.82

Therefore, the average cost of a movie ticket in Japan is $17.99 and in Switzerland is $13.82.

ANSWER

[tex] \cos( \alpha ) + \sin( \alpha ) [/tex]

EXPLANATION

The given expression is

[tex] \frac{ \cos(2 \alpha ) }{ \cos( \alpha ) - \sin( \alpha ) } [/tex]

Recall and use the double angle identity,

[tex] \cos(2 \alpha ) = { \cos}^{2} \alpha - { \sin}^{2} \alpha [/tex]

This implies that,

[tex]\frac{ \cos(2 \alpha ) }{ \cos( \alpha ) - \sin( \alpha ) } = \frac{ \ { \cos}^{2} \alpha - { \sin}^{2} \alpha }{ \cos( \alpha ) - \sin( \alpha ) } [/tex]

Recall again that: a²-b²=(a-b)(a+b)

We use difference of two squares to obtain,

[tex]\frac{ \cos(2 \alpha ) }{ \cos( \alpha ) - \sin( \alpha ) } = \frac{ (\ { \cos}\alpha - { \sin}\alpha )(\ { \cos}\alpha + { \sin}\alpha)}{ \cos( \alpha ) - \sin( \alpha ) } [/tex]

We cancel out the common factors to get,

[tex]\frac{ \cos(2 \alpha ) }{ \cos( \alpha ) - \sin( \alpha ) } = { \cos}\alpha + { \sin}\alpha[/tex]

The expression cos(2α)cosα−sinα is equivalent to the formula 2tanα / (1+tan^2α), reached by substituting cos(2α) with 1 - 2sin^2α and recognizing the resulting function as the derivative of the tangent function.

In addressing your question on expressions equivalent to cos(2α)cosα−sinα, we will employ some trigonometric identities. The expression cos(2α)cosα−sinα is equivalent to the expression 2tanα / (1+tan^2α).

The way to reach this answer is to first know the identity cos(2α) = 1 - 2sin^2α and plug this into the equation. The result will be 2sin^2α cosα + sinα. Then, you recognize this is the derivative of the tangent function, and find that it equals 2 tanα / (1 + tan^2α).

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Answer:

A

Step-by-step explanation:

thomas read faster than  brice!!! wheres the graph btw?

The correct statement of the given ones is that Thomas is reading at a faster rate than Brice.

        [y] = mx + c

Given are Brice and Thomas who are reading the same book. The graph

shows the number of pages that Brice read in a week and the equation

y = 21x + 33 shows the number of pages that Thomas read in a week.

The given equation for Thomas that shows the number of pages that Thomas read in a week is -

y = 21x + 33

The slope of the line is -

m = 21

Thomas is reading 21 pages per week.

For the graph of Brice, it passes through the points (0, 43) and (6, 163). So, we can find the slope as -

m = (163 - 43)/(6 - 0)

m = 120/6

m = 20

Brice is reading 20 pages per week.

Therefore, the correct statement of the given ones is that Thomas is reading at a faster rate than Brice.

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{Complete question -

Brice and Thomas are reading the same book. The graph shows the number of pages that Brice read in a week. Graph in the coordinate plane with title pages read by Brice. Vertical axis goes from 0 to 250 in increments of 10 and is labeled number of pages read. Horizontal axis goes from 0 to 7 in increments of 1 and is labeled time in days. A ray on the graph starts at point begin ordered pair 0 comma 43 end ordered pair and goes through point begin ordered pair 6 comma 163 end ordered pair.

The equation y = 21x + 33 shows the number of pages that Thomas read in a week with y representing the number of pages and x representing the number of days.

Which statements about the reading of the two boys are true?

Select each correct answer.

Thomas reads 20 pages each day.

Thomas is reading at a faster rate than Brice.

Brice reads 33 pages each day.

Brice started the week with more pages read than Thomas.}

B

x y

10 -16

15 -18

20 -20

25 -22

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

[tex]1\ ft=12\ in\to1\ in=\dfrac{1}{12}\ ft\\\\\text{Therefore, if you want to change inches to feet,}\\\text{you must divide the number of inches by 12.}\\\\\text{Examples:}\\\\36\ in=\dfrac{36}{12}\ ft=3\ ft\\\\120\ in=\dfrac{120}{12}\ ft=10\ ft[/tex]

Answer:

Step-by-step explanation:

The catch is to put this into the quadratic and solve for a b and c in three equations.

x = 1

a(1)^2 + b(1) + c= 0            

a + b + c + 0                (1)

x = - 1

a(-1)^2 + b(-1) + c = 2

a - b + c = 2                 (2)

x = 2

a(2)^2 + b(2) + c = 8

4a + 2b + c = 8            (3)

===================

Add 1 and 2 together

a + b + c = 0

a - b + c = 2

2a + 2c = 2           Divide by 2

a + c = 1                       (4)  

=====================

Multiply (2) by 2

2a - 2b + 2c = 4          (5)

======================

Add (5) + (3)

2a - 2b + 2c = 4

4a + 2b + c = 8

6a + 3c = 12               (6)

=====================

Multiply (4) by 3

3a + 3c = 3                 (7)

===================

Subtract (7) from (6)

6a + 3c = 12

3a + 3c =  3

3a = 9                      Divide by 3

3a/3 = 9/3

a = 3

=============

Use (4) to find c

a + c = 1

3 + c = 1                  Subtract 3 from both sides

3-3 + c = 1-3

c = - 2

=================

Use 1 to find b

3 + b - 2 = 0          Combine 3 and -2

1 + b = 0                Subtract 1 from both sides

b = - 1              

====================

Answers

a = 3

b = - 1

c = - 2

The graph opens upward and has a minimum value of –3

Which statement describes the graph of the function

From the question, we have the following parameters that can be used in our computation:

y - 2x² = -3

This can be expressed as

y = 2x² - 3

The above has a positive leading coefficient

This means that it opens up

And as such it has a minimum and no maximum

Using the above as a guide, we have the following:

The graph opens upward and has a minimum value of –3

Answer:$1125.00 and $5.00 i think

Step-by-step explanation:

Answer:

The maximum revenue is roughly $1150 and the increase is $5.

Step-by-step explanation:

We can find this by looking for the highest point on the graph. The highest point on the graph occurs at x = 5, with the y value reaching roughly 1150.

The statement on the bottom left is correct. (6 students studied for 20 to 24 hours)

Answer:

Bottom right corner.

Step-by-step explanation:

They spent between 20 to 24 hours in stead of studying for exactly one of them.

Answer:

This would be an inequality. They use greater than (>) and less than (<) signs.

Step-by-step explanation:

A Mathematical sentence that compares expressions that are not equal is an inequality.

An inequality is a mathematical sentence that compares the value of two expressions using a inequality symbol.

An inequality is a relationship between two different quantities or expressions.

An inequality may be expressed by a mathematical sentence that uses the following symbols:

< is less than

> is greater than

≤ is less than or equal to

≥ is greater than or equal to

≠ is not equal to

Hence, a mathematical sentence that compares expressions that are not equal is an inequality.

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Answer:

B

Step-by-step explanation:

Expand the right side of the equation

5x² - 3x + 10 = 9x² + 24x + 16

Subtract 5x² - 3x + 10 from both sides

0 = 4x² + 27x + 6 ← in standard form

with a = 4, b = 27, c = 6

SORRY FOR CUTTING AND HANDWRITING

HOPE THIS WILL HELP YOU

The roots of the quadratic equation [tex]\( -10x^2 + 12x - 9 = 0 \)[/tex] are [tex]\( \frac{{3 + i\sqrt{6}}}{{5}} \)[/tex] and [tex]\( \frac{{3 - i\sqrt{6}}}{{5}} \).[/tex]

To find the roots of the quadratic equation  -10x^2 + 12x - 9 = 0 , we can use the quadratic formula:

[tex]\[ x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} \]Where:[/tex]

-  a = -10

-  b = 12

-  c = -9

Substitute the values into the quadratic formula:

[tex]\[ x = \frac{{-12 \pm \sqrt{{12^2 - 4(-10)(-9)}}}}{{2(-10)}} \][/tex]

[tex]\[ x = \frac{{-12 \pm \sqrt{{144 - 360}}}}{{-20}} \][/tex]

[tex]\[ x = \frac{{-12 \pm \sqrt{{-216}}}}{{-20}} \][/tex]

[tex]\[ x = \frac{{-12 \pm 6i\sqrt{6}}}{{-20}} \][/tex]

[tex]\[ x = \frac{{3 \pm i\sqrt{6}}}{{5}} \][/tex]

So, the roots of the equation are  [tex]\( \frac{{3 + i\sqrt{6}}}{{5}} \)[/tex] and [tex]\( \frac{{3 - i\sqrt{6}}}{{5}} \),[/tex] where  i  is the imaginary unit.

Answer:

15

Step-by-step explanation:

Answer:

(2x + 3)(2x + 1)

Step-by-step explanation:

2(2x^2 + 4x) + 3

Distribute.

4x^2 + 8x + 3

Put this in factored form.

(2x + 3)(2x + 1)

the answer is 12 place 2 , 4.5,12 In place of X and solve

Answer:   x = 12

Step-by-step explanation:

[tex].\qquad \qquad \qquad \qquad \qquad \sqrt{2x+1}-4=1\\\\\text{Add 4 to both sides:}\quad \sqrt{2x+1}=5\\\\\text{Square both sides:}\quad \quad 2x+1=25\\\\\text{Subtract 1 from both sides:}\quad 2x=24\\\\\text{Divide both sides by 2:}\qquad \quad x = 12[/tex]

Answer:

4

Step-by-step explanation:

The numbers in order would be

2, 3, 4, 5, 7

The number in the middle is always the median

Therefore, 4 is the median

Final answer:

The median of the list 5, 7, 2, 4, 3 is 4, once the numbers are arranged in ascending order and we identify the middle value in the set.

Explanation:

To find the median of the list 5, 7, 2, 4, 3, we must first organize the numbers in either ascending or descending order. For this set, arranged in ascending order, we get 2, 3, 4, 5, 7. Since we have n = 5 numbers, the median will be the third value in the ordered set, which is the middle number. Therefore, the median of this data set is 4.

Answer:

(4,9)

Step-by-step explanation:

If f(x) is a function, the function f(x) + a is a function translated a units up vertically. Hence, all the y-coordinates of the coordinates of the points on the function will shift up by a.

For this problem, we need to find corresponding coordinate of (4,4) of f(x) + 5. This means that the y-coordinate of this coordinate will increase by 5 and x will stay the same.

Hence, corresponding point for f(x) + 5 for the point (4,4) would be (4,4+5) OR (4,9).

For matrix subtraction, you subtract the corresponding cell of the second matrix from the first. So, looking at the first spot, you have 4 (from the first matrix) - 4 (from the second matrix) = 0 (the first number in the output matrix). Continuing that for the next spot, -4 - -3 = -4 + 3 = -1. Finally, -2 - 5 = -7. This means your answer is [0 -1 -7].

A. Car share I hope this helps

The most likely choice for someone needing a car for a few hours to pick someone up from the airport is a car share, due to its convenience and cost-effectiveness for short-term use.

A person who needs a car for just a few hours to pick up a friend from an airport would most likely choose car sharing. This option allows for the short-term use of a car, typically charged by the hour or mile, and is ideal for brief, one-time needs such as an airport pick-up. In contrast, car rental is more suitable for those who need a vehicle for a full day or longer. A car lease is a long-term arrangement, usually spanning several years, and therefore not practical for a few hours of use. Carpooling involves sharing a ride with others going in the same direction but does not provide the flexibility of going to the airport to pick someone up specifically.

When deciding on options like these, one must consider the economic choices and personal needs. Factors like fuel efficiency, car size, and whether all-wheel drive is necessary for local weather conditions should be taken into account for longer-term choices. However, for a few hours of need, car sharing emerges as the most convenient and economical option.

Answer:

16

Step-by-step explanation:

2 times 2 is 4, 4 times 2 is 8, 8 times 2 is 16

Answer:

7

Step-by-step explanation:

The answer is 7. Hope this helps

Answer:

14

Step-by-step explanation:

I am on k12 and that is what I got

I put in 7 and it was wrong

Answer:

pq^9

Step-by-step explanation:

so this is basically multyplying the 2 variables

p there is 1

q there is 9

pq^9

Answer:

p q^9

Step-by-step explanation:

pqqqqqqqq

There is one p and 9 q's

That means raise p to the power of 1 and q to the power of 9

p^1 * q^9

Anything to the power of 1 is itself

p q^9

Answer: Your answer would be A. inherited

The behavior described in this scenario is most likely an inherited behavior.

The innate behaviors that are passed to offspring from parents is called as  Inherited behaviour

Earthworms are sensitive to light and often seek refuge in soil or other dark environments.

The response to light which is likely an innate behavior that has evolved over time in response to environmental pressures, such as predation risk from exposure to sunlight.

The earthworm's instinctive behavior to get shelter with response to light is likely a result of its genetic programming and not a learned, mimicked, or imprinted behavior.

Hence, the behavior described in this scenario is most likely an inherited behavior.

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Answer:

Step-by-step explanation:

2/3

Answer:

2/3

Step-by-step explanation:

2/3 and add 1 to the numerator to get a whole number so 1 (whole number ) minus 2/3 is 1/3.

Answer:

[tex]\large\boxed{A.\ f(x)+g(x)=9x^2-x-3}\\\boxed{B.\ f(x)-g(x)=5x^2-9x+9}\\\boxed{g(x)-f(x)=-5x^2+9x-9}[/tex]

Step-by-step explanation:

[tex]f(x)=7x^2-5x+3,\ g(x)=2x^2+4x-6\\\\A:\\f(x)+g(x)=(7x^2-5x+3)+(2x^2+4x-6)\\f(x)+g(x)=7x^2-5x+3+2x^2+4x-6\qquad\text{combine like terms}\\f(x)+g(x)=(7x^2+2x^2)+(-5x+4x)+(3-6)\\f(x)+g(x)=9x^2-x-3[/tex]

[tex]B:\\f(x)-g(x)=(7x^2-5x+3)-(2x^2+4x-6)\\f(x)+g(x)=7x^2-5x+3-2x^2-4x+6\qquad\text{combine like terms}\\f(x)-g(x)=(7x^2-2x^2)+(-5x-4x)+(3+6)\\f(x)+g(x)=5x^2-9x+9[/tex]

[tex]C:\\g(x)-f(x)=(2x^2+4x-6)-(7x^2-5x+3)\\g(x)-f(x)=2x^2+4x-6-7x^2+5x-3\qquad\text{combine like terms}\\g(x)-f(x)=(2x^2-7x^2)+(4x+5x)+(-6-3)\\g(x)-f(x)=-5x^2+9x-9[/tex]

The side lengths of a dilation of quadrilateral LMNP can be determined by multiplying the original side lengths by the dilation scale factor. For example, a scale factor of 2 would double the side lengths, resulting in a dilated quadrilateral with doubled dimensions.

The question asks about the side lengths of a dilation of quadrilateral LMNP with original sides measuring 16, 28, 12, and 32. In mathematics, a dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The scale factor of the dilation determines how much larger or smaller the dilated figure will be compared to the original.

For example, if a quadrilateral LMNP is dilated by a scale factor of 2, all side lengths would be twice as long as the original. Therefore, the dilated quadrilateral would have sides of 32 (16×2), 56 (28×2), 24 (12×2), and 64 (32×2). Conversely, if the dilation scale factor is 0.5, the sides would be half as long, resulting in lengths of 8, 14, 6, and 16 respectively.

To determine the side lengths of a dilated version of LMNP, simply multiply each of the original side lengths by the dilation scale factor. This property of similarity due to dilation applies to any polygon, maintaining the shape but altering the size proportionally in all dimensions.

Answer:

The answer is y = 20

Step-by-step explanation:

To find this, we need to turn it into an equation. Then we can follow the order of operations to solve.

y - 12 = 8

y = 20

Answer: Y = 20

Step-by-step explanation:

The equation to solve this problem is y - 12 = 8

In order to solve the equation you need to add 12 to each side -

Y = 20

You can then check your work - 12 less than 20 equals 8. This is correct, so you know that your answer is correct.

Answer:

Square feet.

Step-by-step explanation:

Feet are an example of what are called linear units. They're used to measure one dimensional things like length, width, or height. Area is two-dimensional, it takes up (flat) space, so we need to measure it in units that do the same thing. The simplest two-dimensional shapes to measure area with turn out to be squares (since the area of a square with side length s is just s²), so we usually measure area in square units. Since our linear units here are feet, the corresponding square units will be square feet.

Answer:

I think the answer is square feet.

I got it right on my test!

I hope this will help!