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3 years ago

A proportional relationship is shown in the table below:

Mathematics

2 answers:

Alinara [238K]3 years ago

5 0

Answer:

The slope is $m=3$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

$A(1,3)$ ------> from the given table

Find the value of k

$k=y/x$

substitute the values

$k=3/1=3$

The linear equation is

$y=3x$

using a graphing tool

see the attached figure

Doss [256]3 years ago

3 0

Answer:

The slope is =3

Step-by-step explanation:

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(5/7) to the power of 4 i need to know as a fraaction

yuradex [85]

Answer:

625/2401

Step-by-step explanation:

5/7 ^ 4 = 5 * 5 * 5 * 5 / 7*7*7*7 = 625/2401

8 0

3 years ago

Read 2 more answers

Find the exact values of sin2 θ for cos θ = 3/18 on the interval 0° ≤ θ ≤ 90°

mote1985 [20]

Answer:

$sin(2\theta)=\frac{\sqrt{35} }{18}$

Step-by-step explanation:

Recall the formula for the sine of the double angle:

$sin(2\theta)=2*sin(\theta)*cos(\theta)$

we know that $cos(\theta)=\frac{3}{18}$ , and that $\theta$ is in the interval between 0 and 90 degrees, where both the functions sine and cosine are non-negative numbers. Based on such, we can find using the Pythagorean trigonometric property that relates sine and cosine of the same angle, what $sin(\theta)$ is:

$cos^2(\theta)+sin^2(\theta)=1\\sin^2(\theta)=1-cos^2(\theta)\\sin(\theta)=\sqrt{1-cos^2(\theta)} \\sin(\theta)=\sqrt{1-(\frac{3}{18} )^2}\\sin(\theta)=\sqrt{1-\frac{9}{324} }\\sin(\theta)=\sqrt{\frac{324-9}{324} }\\sin(\theta)=\sqrt{\frac{315}{324} }\\\\sin(\theta)=\frac{3}{18}\sqrt{35 }$

With this information, we can now complete the value of the sine of the double angle requested:

$sin(2\theta)=2*sin(\theta)*cos(\theta)\\sin(2\theta)=2*\frac{3}{18} \,\sqrt{35} \,\frac{3}{18}\\sin(2\theta)=\frac{2*3*3}{18*18}\,\sqrt{35} \\sin(2\theta)=\frac{\sqrt{35} }{18}$

6 0

2 years ago

never [62]

Answer:

○ B. $525\:square\:units$

Step-by-step explanation:

All sides meet at right angles, so when split up, you have this:

$525 = 98 + 21 + 154 + 252 = 7 \times 14 + 3 \times 7 + 11 \times 14 + 9 \times 28$

I am joyous to assist you anytime.

8 0

3 years ago

A sequence that changes by multiplying by the same number

zmey [24]

Answer: it never changes

7 0

2 years ago

Jennifer began a savings account. She initially put $100 in the account and then

vitfil [10]

Jennifer would have $580 in her account after 24 months

a(x) = 20x + 100

the above function is a linear function

A linear function is a function that has a single variable raised to the power of 1.

100 is the constant

20 increases by m

a(x) is the dependent variable. Its value depends on the amount deposited per month and the number of months

The amount she would have after 24 months =

20(24) + 100 = $580

To learn more about linear functions, please check : brainly.com/question/20286983?referrer=searchResults

5 0

2 years ago