Simplify. Rewrite the expression in the form 9^n.


{9^7}{9^5}

Answer:

(8, -22)

Step-by-step explanation:

If you solve to find the slope of the first table on the left you get -4x +10 and the second table you get -3x+2. You can find their intersection on the calculator and get (8, -22)

Answer:

Since dilation is not mentioned in the answer options, thus, the correct option is 'None of the above'.

Step-by-step explanation:

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

The figure seems to have enlarged by a certain scale factor. Thus, the figure b is a result of dilation of the original figure by a certain scale factor.

Rotation, Reflection, and translation do not affect the size of the original figure.

Since dilation is not mentioned in the answer options, thus, the correct option is 'None of the above'.

the frog will be 4 inches long

Answer:

is there anymore to this problem

Answer:

= 45 miles per hour

Step-by-step explanation:

First, we want a unit rate where 1 is in the denominator.

So we divide,

180 miles/ 4 hours both ÷ by 4

= 45 miles/ 1 hour

= 45 miles/ hour

= 45 miles per hour

Answer:

16.8

Step-by-step explanation:

you get this by taking the ratio of 12:30 and applying it to 42

you get 30 by taking the total of 12 + 18

you then divide 12 / 30 which equals 0.4

you then multiply 0.4 * 42 which gives you 16.8

if you were to solve for the other ratio you would divide 18 / 30

and then take the answer of that, 0.6 and multiply it by 0.6 * 42

then you have the other part of the ratio.

Answer:

The rental fee is 25

Step-by-step explanation:

Total cost = rental fee plus cost per hours * number hours

t = f + 8*h  where t = total cost, f = rental fee, h = hours

73 = f + 8*6

73 = f+ 48

Subtract 48 from each side

73 - 48 = f+48-48

25 = f

The rental fee is 25

Answer:

y = -2x + 5

Step-by-step explanation:

A(4, -3) ;      B(2, 1)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

          [tex]= \frac{1-[-3]}{2-4}\\\\= \frac{1+3}{2-4}\\\\= \frac{4}{-2}\\\\= -2[/tex]

m = -2 ;  A(4,-3)

[tex]y - y_{1}=m(x-x_{1})\\\\y -[-3] = (-2)(x - 4)\\\\y + 3 = -2*x -4 *(-2)\\\\y + 3 = -2x + 8\\\\ y = -2x + 8 - 3 \\\\ y = -2x + 5[/tex]

Answer:18 , for the first one

Step-by-step explanation: because 10+8= 18

Answer:

x=6

Step-by-step explanation:

Answer:

(2,7)

Step-by-step explanation:

Variable Definitions:

​

x=

x=

\,\,\text{the number of apples}

the number of apples

y=

y=

\,\,\text{the number of bananas}

the number of bananas

\text{\textquotedblleft a minimum of 7 items"}\rightarrow \text{7 or more items}

“a minimum of 7 items"→7 or more items

Use a \ge≥ symbol

Therefore the total number of apples and bananas, x+yx+y, must be greater than or equal to 7:7:

x+y\ge 7

x+y≥7

\text{\textquotedblleft \$8 to spend"}\rightarrow \text{can spend \$8 or less}

“$8 to spend"→can spend $8 or less

Use a \le≤ symbol

One apple costs $2, so xx apples cost 2x.2x. One banana costs $0.50, so yy bananas cost 0.50y.0.50y. The total 2x+0.50y2x+0.50y must be less than or equal to \$8:$8:

2x+0.50y\le 8

2x+0.50y≤8

\text{Solve each inequality for }y\text{:}

Solve each inequality for y:

\begin{aligned}x+y\ge 7\hspace{30px}& 2x+0.50y\le 8 \\[0.8em] y\ge 7-x \hspace{30px}& 0.50y\le 8-2x \\[0.8em] \hspace{30px}& y\le \frac{8-2x}{0.50} \\[0.8em] & y\le 16-4x\end{aligned}

x+y≥7

y≥7−x

​

2x+0.50y≤8

0.50y≤8−2x

y≤

0.50

8−2x

​

y≤16−4x

​

Graph y\ge 7-xy≥7−x by shading up and graph y\le 16-4xy≤16−4x by shading down:

0

the number of apples

the number of bananas

x

y

0

the number of apples

the number of bananas

(2, 7)

Since the point (2, 7(2,7) is inside the double shaded region, one possible solution to the system of inequalities would be:

Zoey could buy 2 apples and 7 bananas.

Answer:

/2 each time

Step-by-step explanation:

8,4,2

8/2=4

4/2=2

etc

Answer:

2√5

Step-by-step explanation:

√20

√4 ×√5

2√5

Follow Me Please

Answer:

2√5

Step-by-step explanation:

√20=√2⋅2⋅5. =√22⋅5. =2√5.

Answer:

C. 2x² + 6x - 1 = 0

Step-by-step explanation:

2x² - 3 = -6x - 2

2x² - 3 + 6x = -6x + 6x - 2

2x² - 3 + 6x = -2

2x² - 3 + 6x + 2 = -2 + 2

2x² + 6x - 1 = 0

Hope that helps.

Answer:

21 points

Step-by-step explanation:

The difference in points between the two teams is 15-(-6) = 21 points.

Hope this helped!

Answer:

The equation of a line:

The graph of the line is attached below.

Step-by-step explanation:

Given the points

Finding the slope between (3,-4) and (3,-1)

(x₁, y₁) = (3,-4)

(x₂, y₂) = (3, -1)

Using the slope formula

m = y₂-y₁ / x₂-x₁

    = -1-(-4)) / 3 - 3

    = -1 + 4 / 0

m  = ∞

The slope of the line is undefined, then, by definition, the line would be a vertical line.

As the line that passes through the points (3,-4) and (3,-1)

Thus, the equation of a line:

The graph of the line is attached below.

Answer:

4(5-x)

Step-by-step explanation:

6x-10x+20         4(5-x)

-4x+20                20-4x

and those two are both equivalent

Answer:

1/2= 5/10

5/10 - 3/10 = 2/10 or 1/5

so planet X is 1/5 of a light-year closer

Step-by-step explanation:

Answer:

5/10

Step-by-step explanation:

Simplified

Answer:

x = -4

Step-by-step explanation:

x = 3 - 7

x = - (7 - 3)

x = -4

Answer:

Multiple choice?

Step-by-step explanation:

Answer:

Step-by-step explanation:

last one

Convert to a simplified fraction.

20 amgiS ⋅ 9n / 2^2+3n − 9^n

Move 20 to the left of Sigma.

20 Sigma

Answer:

$6 per hour

Step-by-step explanation:

30 for 5 hours

$6 per hour

Answer: -4.5

Step-by-step explanation:

Answer:

7.5 ft tall

Step-by-step explanation:

We can find the height of the tree if you provide the actual length of the trees shadow.

Not really sure what a "toilet for a shadow" means.

Example: If the tree cast a shadow that was 4 feet long we would use a ratio:

Height/shadow = Height/Shadow

28/15 = x/4 cross multiply

15x = 4(28)

x = 4(28)/15 ≅ 7.47 ft

Rounding I would call the tree 7.5 ft tall

Hope this helps.

Answer:

39.2 feet

Step-by-step explanation:

In case of flagpole:

[tex] tan \theta = \frac {28}{15}..... (1)[/tex]

Since, a nearby tree casts a 21 foot shadow at the same time. So the angle formed will be equal.

Let the height of the tree be x feet.

Therefore,

[tex] tan \theta = \frac {x}{21}.....(2)[/tex]

From equations (1) & (2)

[tex] \frac {28}{15} = \frac {x}{21}.....(2)\\\\

x = \frac{28\times {21} }{{15} }\\\\

x = \frac{588}{{15} }\\\\

x = 39.2 \\\\

[/tex]

Answer:

a. 25.12 cm^2

Step-by-step explanation:

Area = π * r^2

a = π * 4^2

a = π * 8

a = 25.12

Answer:

2nd option

Step-by-step explanation:

Answer:

N(T(t)) = 24(8t + 3)² - 112(8t + 3) + 95 (this is can be the answer for the 1st cloumn since your teacher said "You do not need to simplify your answer)

N(T(5)) = 24(8(5) + 3)² - 112(8(5) + 3) + 95

N(T(t)) = 24(43)² - 112(43) + 95

N(T(t)) = 39 655

answe for 2nd coloumn

(5, 39655)

answer for 3rd coloumn

5 hours

answer for 4th col is

39,655 bacteria