Jillian and Nikki each filled their cars with gasoline. The graphs below show the amount of gas in each car and the miles driven since filling the tank.

A graph titled Jillian's Car has miles driven on the x-axis, and gallons of gas left on the y-axis. A line goes through (0, 22) and (100, 16). A graph titled Nikki's Car has miles driven on the x-axis and gallons of gas left on the y-axis. A line goes through points (0, 20) and (100, 16).

Which statement is supported by the graphs?

Answer:

70

Step-by-step explanation:

she burns 250 calories per hour .to burn 3500 calories and shed 1 pound she has to work 14 hours and to shed 5 pounds she has to work 14×5=70 hours

Answer:

ygftyhhhhgffyujhhgyjjjhhguj

Answer:

Step-by-step explanation:

The diagonals of a rhombus divides it into four congruent right triangles.  Each triangle is a mirror image of the adjacent.

Therefore angle 2 is the alternate interior angle of 57°, and angle 3 is the mirror image, so also 57°.

Angles 1 is the complement of angle 3, and angle 4 is equal to the complement of angle 2 , so both equal 90-57 = 33°.

To summarize,

angle 1 = 33°

angle 2 = 57°

angle 3 = 57°

angle 4 = 33°

Answer:

3.78 × [tex]10^{2}[/tex] = 378

Step-by-step explanation:

Answer:

[tex]a_{n}[/tex] = 2n + 5

Step-by-step explanation:

There is a common difference between consecutive terms, that is

9 - 7 = 11 - 9 = 13 - 11 = 15 - 13 = 2

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 2 , then

[tex]a_{n}[/tex] = 7 + 2(n - 1) = 7 + 2n - 2 = 2n + 5

Hope this helps!! :)))))))

Answer:

295/72

Step-by-step explanation:

Answer: one solution

this is all i know

Answer:

D

Step-by-step explanation:

Given

1 - [tex]\frac{1}{2}[/tex] (6x - 4) = 3(1 - x) ← distribute parenthesis on both sides

1 - 3x + 2 = 3 - 3x

3 - 3x = 3 - 3x

Since both sides of the equation are the same , then

This indicates the equation has infinitely many solutions.

Answer:

i)

Odd numbers:

P(odd and odd) = 3/6*3/6 = 1/4

ii)

Total outcomes:

Sum of 8:

Sum of 12:

P(8 or 12) = 5/36 + 1/36 = 6/36 = 1/6

iii)

Prime numbers:

Odd numbers:

P(prime or odd) = 3/6*3/6 + 3/6*3/6 = 1/4 + 1/4 = 1/2

Answer:

5 dollors i just tookthe test 4

Step-by-step explanation:

Arianna bought 0 bags of oranges. It's possible that she may have bought other items along with the oranges or there might be a pricing discrepancy.

To find out how many oranges Arianna bought, we can use the given price of a bag of 4 oranges and the total amount she spent on oranges.

Let's set up a proportion:

Price of a bag of 4 oranges = $2.84

Amount Arianna spent on oranges = $3.55

Let "x" be the number of bags of oranges Arianna bought.

Since each bag contains 4 oranges, the total number of oranges she bought is 4 times the number of bags (4x).

Now, we can set up the proportion:

(Price of a bag of 4 oranges) / (Amount spent on oranges) = (Number of bags bought) / 4x

$2.84 / $3.55 = 1 / 4x

To solve for "x," cross-multiply:

$2.84 * 4x = $3.55 * 1

11.36x = 3.55

Now, solve for "x":

x = 3.55 / 11.36

x ≈ 0.3125

Since we can't buy a fraction of a bag, we round the value of "x" to the nearest whole number:

x ≈ 0 (rounded to the nearest whole number)

So, Arianna bought 0 bags of oranges. It's possible that she may have bought other items along with the oranges or there might be a pricing discrepancy.

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Hope this may help you ☺

Answer:

[tex] { ({x}^{2}. {y}^{6} )}^{ \frac{1}{8} } \\ {x}^{2 \times \frac{1}{8} } . {y}^{6 \times \frac{1}{8} } \\ = {x}^{ \frac{2}{8} } . {y}^{ \frac{6}{8} } \\ = {x}^{ \frac{1}{4} } . {y}^{ \frac{3}{4} } [/tex]

Answer:

Area = 97.4 cm²

Step-by-step explanation:

a = 15 cm

        [tex]Area = \frac{ \sqrt 3}{4} a^2\\[/tex]

                 [tex]=\frac{\sqrt 3}{ 4 } \times 15^2\\\\=\frac{\sqrt 3}{ 4 } \times 225\\\\= 97.4 \ cm^2[/tex]

Answer:i honestly dont know just trying to get points

Step-by-step explanation:

Answer:

positive charge...............

Answer:

90=30+(x+10). remove blanket

90=30+x+10. correct like terms

90=30+10+x

90=40+x. 40 will cross the = and change from +ve to -ve sign

90-40=x.

therefore

x=40

Answer:

x = 50

Step-by-step explanation:

The 2 angles sum to 90° , that is

x + 10 + 30 = 90

x + 40 = 90 ( subtract 40 from both sides )

x = 50

Answer:

[tex]6 \sqrt{5} [/tex]

Step-by-step explanation:

Take out Square root 5 as common and then add numbers

[tex]4 \sqrt{5} + 2 \sqrt{5} \\ 6 \sqrt{5} [/tex]

Answer: Answer C , Only student 2, because dilation preserve angle measures and side lengths are proportional

The true statement is only student 2, because dilations preserve angle measures and side lengths are proportional.

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.

In Reflection the figure is flipped. In other words, a figure when undergoes reflection becomes it's mirror image.

Dilation preserves the angle measures, so the triangles will be similar.

Reflection, on the other hand, will result in congruent triangles.

Student 1 said that  Reflect △ABC across the y-axis and then dilate it by a scale factor of 1 with the center of dilation at the origin.

If the scale factor is 1, then the dilated image will be the same as the original image.

So the resulting triangle will be congruent to the original triangle.

In the case of what student 2 said, scale factor is 2. Triangle is enlarged.

So the resulting image will be similar to the original one.

Hence student 2 is correct.

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Answer:

[tex]\Delta y = A[/tex] (Amplitude) (Correct answer: 1)

[tex]\omega = B[/tex] (Angular frequency) (Correct answer: 2)

[tex]x_{o} = C[/tex] (Phase shift) (Correct answer: 3)

[tex]y_{o} = D[/tex] (Vertical shift) (Correct answer: 4)

[tex]\frac{2\pi}{\omega} = \frac{2\pi}{B}[/tex] (Period) (Correct answer: 5)

Step-by-step explanation:

The general form of a sinusoidal function is represented by the following characteristics:

[tex]y = \Delta y \cdot \sin \omega\cdot (x- x_{o}) + y_{o}[/tex] (1)

Where:

[tex]\Delta y[/tex] - Amplitude.

[tex]\omega[/tex] - Angular frequency.

[tex]x_{o}[/tex] - Phase shift.

[tex]y_{o}[/tex] - Vertical shift.

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

In addition, we know that the period associated with the sinusoidal function ([tex]T[/tex]) is:

[tex]T = \frac{2\pi}{\omega}[/tex]

By direct comparison, we get the following conclusions:

[tex]\Delta y = A[/tex] (Amplitude) (Correct answer: 1)

[tex]\omega = B[/tex] (Angular frequency) (Correct answer: 2)

[tex]x_{o} = C[/tex] (Phase shift) (Correct answer: 3)

[tex]y_{o} = D[/tex] (Vertical shift) (Correct answer: 4)

[tex]\frac{2\pi}{\omega} = \frac{2\pi}{B}[/tex] (Period) (Correct answer: 5)

Answer:

Y is equal to 2

Step-by-step explanation:

X equals -8

So,

4(-8) + 9y = -14

-32 + 9y = -14

-32 + 32 + 9y = -14 + 32

9y = 18

1/9 × 9y = 18 × 1/9

y = 2

A survey is conducted in order to collect a piece of specific information. The number of people that can be considered as a sample for the given population is 320.

A survey is conducted in order to collect a piece of specific information from a group of people chosen from the entire population who denotes the entire population for those questions.

Given the population consist of 3200 people, therefore, the number of people that can be considered as a sample for the given population is 320.

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Answer:

your will becanswer $95.00

Answer:

105

Step-by-step explanation:

instalment time 10 months

so from 1050÷10

105 ans

Answer:

D

Step-by-step explanation:

Answer:

We reach at 8.

Step-by-step explanation:

The starting point is 2 .

Jump at the six places, the final point reaches at 8, so the point is 8.

Answer:

D   (0, 3)

Step-by-step explanation:

To go from B (8, 3) to C (3, 8)

subtract 5 from x, add 5 to y

A (5, -2)

subtract 5 from x,   x = 0

add 5 to y,   y = 3

D (0, 3)

Answer:

20×10=200mm

70:200

70/10=7

200/10=20

7:20 is your answer in it's simplest form

Answer:

5/7 or 0.71 is the answer

It has been shown that [tex]3P_{n} =T_{3n-1}[/tex], [tex]3P_{n} =T_{3n-1}[/tex] and hence [tex]3P_{n} =T_{3n-1}[/tex].

Given: [tex]T_{n}[/tex] is the nth triangular number. [tex]Q_{n}[/tex] is the nth square number. [tex]P_{n}[/tex] is the nth pentagonal number.

To show:

Triangular numbers are numbers formed by addition of consecutive natural numbers starting from 1. Square numbers are numbers formed by squaring natural numbers. Pentagonal numbers are numbers formed by distinct dots in a pattern of dots consisting of the outlines of regular pentagons with sides up to n dots, when the pentagons are overlaid so that they share one vertex.

The formula for each of them is given by:

[tex]T_{n}=\frac{n(n+1)}{2}[/tex]

[tex]Q_{n}=n^{2}[/tex]

[tex]P_{n}=\frac{3n^{2}-n}{2}[/tex]

(a).

Now, put [tex]n=3n-1[/tex] in [tex]T_{n}=\frac{n(n+1)}{2}[/tex] to get,

[tex]T_{3n-1}=\frac{(3n-1)(3n)}{2}[/tex]

[tex]T_{3n-1}=3\frac{n(3n-1)}{2}[/tex]

[tex]T_{3n-1}=3\frac{3n^{2}-n}{2}[/tex]

Put [tex]P_{n}=\frac{3n^{2}-n}{2}[/tex] in [tex]T_{3n-1}=3\frac{3n^{2}-n}{2}[/tex] to get,

[tex]T_{3n-1}=3P_{n}[/tex]

So, [tex]3P_{n}=T_{3n-1}[/tex]

(b).

Now,

[tex]P_{n}-Q_{n}=\frac{3n^{2}-n}{2}-n^{2}[/tex]

[tex]P_{n}-Q_{n}=\frac{3n^{2}-n-2n^{2}}{2}[/tex]

[tex]P_{n}-Q_{n}=\frac{n^{2}-n}{2}[/tex]

Put [tex]n=n-1[/tex] in [tex]T_{n}=\frac{n(n+1)}{2}[/tex] to get,

[tex]T_{n-1}=\frac{(n-1)(n-1+1)}{2}[/tex]

[tex]T_{n-1}=\frac{(n-1)n}{2}[/tex]

[tex]T_{n-1}=\frac{n^{2}-n}{2}[/tex]

Comparing [tex]P_{n}-Q_{n}=\frac{n^{2}-n}{2}[/tex] and [tex]T_{n-1}=\frac{n^{2}-n}{2}[/tex], we get,

[tex]P_{n}-Q_{n}=T_{n-1}[/tex]

Now, put [tex]n=3n[/tex] in [tex]P_{n}-Q_{n}=T_{n-1}[/tex] to get,

[tex]P_{3n}-Q_{3n}=T_{3n-1}[/tex]

As shown in part (a), [tex]T_{3n-1}=3P_{n}[/tex]

Put [tex]T_{3n-1}=3P_{n}[/tex] in [tex]P_{3n}-Q_{3n}=T_{3n-1}[/tex] to get,

[tex]P_{3n}-Q_{3n}=3P_{n}[/tex]

[tex]P_{3n}-3P_{n}=Q_{3n}[/tex]

So, [tex]P_{n}-Q_{n}=T_{n-1}[/tex] and hence [tex]P_{3n}-3P_{n}=Q_{3n}[/tex]

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Answer:

use the pythagorean theorem

Step-by-step explanation:

a²+b²=c²