how do you solve for rate in D=r(t)

Answer:

x=2, y=1

Step-by-step explanation:

The left and right sides are equal

7x-2 = 5x+2

Subtract 5x from each side

7x -5x-2 = 5x-5x+2

2x-2 = 2

Add 2 to each side

2x -2+2 = 2+2

2x = 4

Divide by 2

2x/2 = 4/2

x =2

The top and the bottom are the same length

6x+y = 7x-1

6(2) +y = 7(2)-1

12 +y = 14-1

Subtract 12 from each side

12 +y-12 = 13-12

y = 1

Answer:

x values: 5, 10, 15, 20, 25

y values: 7, 14, 21, 28, 35

Step-by-step explanation:

Answer:

-7 < x

Name 2 values

0 and 10

Any number greater than -7 will work

Step-by-step explanation:

-4 < 2(x + 5)

Divide each side by 2

-4/2 < 2/2(x + 5)

-2 < (x + 5)

Subtract 5 from each side

-2-5 < x+5-5

-7 < x

Name 2 values

0 and 10

Any number greater than -7 will work

Answer:

[tex] - 7 < x[/tex]

Step-by-step explanation:

[tex] - 4 < 2(x + 5) \\ - 4 <2 x + 10 \\ - 4 - 10 < 2x \\ - 14 < 2x \\ \frac{ - 14}{2} < \frac{2x}{2} \\ - 7 < x[/tex]

hope this helps

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good luck! have a nice day!

Answer:

The answer is x ^5

Answer:

C) 144 in3

Step-by-step explanation:

Area of rectangular prism = lwh

8*9*2 = 144

Answer:

175,760,000 possible license plates

Step-by-step explanation:

There are 3 spots where there are 26 choices each  

= 26 ^3

and 4 spots where there are 10 choices each (the digits 0 through 9,  

= 10 ^4

This gives:

26^3*10^4=175,760,000

Hope this Helps...!!

Answer:

34.35 liters

Step-by-step explanation:

Answer:

The perimeter of triangle is 30ft.

Step-by-step explanation:

First you have to find the value of a using Pythogoras Theorem, a² + b² = c² where a and b is the sides and c is the hypotenuse :

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]

Let b = 12,

Let c = 13,

[tex]a = \sqrt{ {13}^{2} - 12 {?}^{2} } [/tex]

[tex]a = \sqrt{25} [/tex]

[tex]a = 5feet[/tex]

Next you have to find the perimeter of triangle by adding all the sides together :

[tex]perimeter = 5 + 12 + 13[/tex]

[tex]perimeter = 30feet[/tex]

Answer:

y = -15.9x² + 110.48x + 3.02

initial velocity: 110.48 ft/s

initial height: 3.02 ft

time to cath the ball at 6 ft: 6.92

Step-by-step explanation:

In the picture attached, the plot of the data points and the equation of the best regression is shown, which correspond to a quadratic equation. (It was obtained using Excel)

The initial velocity is the second coefficient.

The initial height is the third coefficient.

Replacing y = 6 into the equation and solving with the quadratic formula:

6 = -15.9x² + 110.48x + 3.02

0 = -15.9x² + 110.48x + 3.02 - 6

0 = -15.9x² + 110.48x - 2.98

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

[tex]x = \frac{-110.48 \pm \sqrt{110.48^2 - 4(-15.9)(-2.98)}}{2(-15.9)} [/tex]

[tex]x = \frac{-110.48 \pm 109.62}{-31.8} [/tex]

[tex]x_1 = \frac{-110.48 + 109.62}{-31.8} [/tex]

[tex]x_1 = 0.03[/tex]

[tex]x_2 = \frac{-110.48 - 109.62}{-31.8} [/tex]

[tex]x_2 = 6.92[/tex]

In the context of the problem, only x2 has sense.

Answer:

Step-by-step explanation:

The graph of f(x) = x^2 is a parabola opening up and with vertex at (0, 0).

The graph of (1/3)f(x) is also a parabola that opens up and has vertex at (0, 0), but this new graph has been vertically compressed by a factor of 3.

The graph of g(x) = 1/3 f(x) is parabola. (as shown in the following image.)

"The graph of a function f is the set of all points in the plane of the form (x,  f(x))."

For given example,

f(x) = x²

The graph of a function f(x) would be a parabola with vertex at origin (0, 0).

And g(x) = 1/3 f(x)

⇒ g(x) = 1/3 (x²)

We know, the greater the quadratic coefficient, the narrower the parabola and the lesser the quadratic coefficient, the wider the parabola.

Since for a parabola g(x) the quadratic coefficient is 1/3.

This means the parabola g(x) is wider than the parabola f(x)

So, the graph of g(x) is the graph of f(x) scaled by 1/3 units.

The graph of g(x) is parabola (as shown in following figure)

Learn more about the graph of the function here:

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Answer: it’s B

Step-by-step explanation:

I just took the test

Answer:

a(91) = -1705

Step-by-step explanation:

Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).

Thus, the 91st term is    a(91) = 5 - 19(91 - 1), or

                                        a(91) = 5 - 1710, or

                                        a(91) = -1705

The 91st term of the arithmetic sequence is -1705.

An arithmetic progression is a sequence of numbers such that the difference of any two successive members is a constant.

Given that an arithmetic sequence 5, -14, -33, ...

nth term of an AP is, a(n) = a + (n-1)d

Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).

Thus, the 91st term is  

a(91) = 5 - 19(91 - 1)

a(91) = 5 - 1710

a(91) = -1705

Hence, The 91st term of the arithmetic sequence is -1705.

For more references on arithmetic sequence, click;

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Answer:

Trey's number line model is incorrect because it represents the expression 2 1/2 / 3/4. The correct equation is 2 1/2 / 3/8 = 6 2/3. Ms. Nellies has enough vinegar for 6 groups of students.

Answer:

incorrect

wrong equation 2 1/2 / 3/4

correct equation 2 1/2 / 3/8 = 6 2/3

6 groups of students.

Step-by-step explanation:

Answer:

The distance that Mrs. Gilbertson's daughter walked was 188.4 feet

Step-by-step explanation:

Here we have that Mrs. Gilbertson's daughter walked round the circle 12 times where the diameter of the circle = 5 ft., therefore, the circumference of the circle, the distance walked round each of the 12 times = π·D

Where:

D = 5 ft

Hence, circumference = π × 5 = 3.14 × 5 = 15.7 ft

Therefore, by walking round the circle 12 times, the total distance that Mrs. Gilbertson's daughter walked = 12 × 15.7 = 188.4 ft.

Answer:

Step-by-step explanation:

General equation of line

y = mx + c

m is slope

y = (1/9)x - 1

1/9 is slope

Since the other line that passes through the point is perpendicular, the product of both slopes is -1

1/9 * m = -1

m = -9

Using point-slope method

y-y1 = m(x-x1)

y-3 = -9(x-(-1))

y-3 = -9(x + 1)

y-3 = -9x -9

y = -9x-6

Answer:

100

Step-by-step explanation:

Because adjacent angles in a parallelogram are supplementary, angle 1 and 80 must add up to 180 degrees. Therefore, angle 1 is 180-80=100 degrees. Hope this helps!

Answer:

100

Step-by-step explanation:

Hope this helped!

Answer:

kg/ m³

Step-by-step explanation:

Since density is= [tex] \frac{mass}{volume} [/tex], where mass is in kg and volume is in cm³, the unit of density would follow so it is kg/m³.

Answer: She did not use the factors in correct order therefore she is inncorrects

Step-by-step explanation: I got it right on edge

Answer:

Sari did not use the greatest common factor in the equation.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

10% as a decimal is .10, or .1. This has to be added to the original wage, 1 (100%) so its 1.1

Answer:

46x + 23 = 46x +23

Step-by-step explanation:

46x - 23 = 46x + 23

Subtract 46x from each side

-23 = 23

This is not true so there are no solutions

-46x + 23 = 46x + 23

Add 46x to each side

23 = 96x +23

Subtract 23 from each side

0 = 96x

x=0   one solution

46x + 23 = 46x +23

Subtract 46x from each side

23 = 23

This is always true so there are infinite solutions

-46x - 23 = 46x + 23

add 46x to each side

-23 = 96x +23

subtract 23 from each side

-46 = 96x

x = -1/2

ANSWERS

1 B

2 24

3 B

4 A

5 B

6 D

Answer:

the answr is option 4 or also known as b

Step-by-step explanation:

Answer:

We use tree diagram by connecting relevant samples

Step-by-step explanation:

thats all

Answer:

Option B is correct.

It represents exactly the expectation.

Hope this helps!

:)

Answer:

The answer is B

STEP BY STEP EXPLANATION BOIZ:

if its an odd number four times the result   = 4 x (1 + 3 + 5)

If result is even you must pay five times the result = 5(2 + 4 + 6)

So 4 x (1 + 3 + 5) x 1/2 - 5(2+4+6) x 1/2 is the answer

Hope dis helped :3  o(*￣▽￣*)ブ