Which of the following options is an equivalent function to f(x) = 2(5)^2x? choices: f(x) = 50^x f(x) = 100^x f(x) = 2(25)^x f(x) = 4(25)^x

Answers

Answer 1
Answer:

For this case we have the following function:

By power properties we can rewrite the function as follows:

We have then:

Then rewriting the function we have:

Answer:

an equivalent function to f (x) = 2 (5) ^ {2x} is:

f (x) = 2 (25) ^ x


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WHAT IS 4.9% AS A DECIMAL AND A FRACTION

Answers

4.9% as a decimal is 0.049
4.9% as a fraction is 4 9/10
(four and nine - tenths )

clark left for school at 7:43 am He got to school 36 minutes later. At what time did Clark get to school

Answers

Clark got to school at 8:19 am.  
36 minutes can be split up into 6 minutes and 30 minutes. Six minutes after 7:43 am is 7:49 am. Thirty minutes after 7:49 am is 8:19 am.
Clark got to school at 8:19 am. ------------------ 36 minutes can be split up into 6 minutes and 30 minutes. Six minutes after 7:43 am is 7:49 am. Thirty minutes after 7:49 am is 8:19 am.

A scale drawing of an office space uses a scale of 2 inches in 3 yards the scale drawing has an area of 16 in.² what is the area of the actual office space

Answers

Answer:

36 Square Yards

Step-by-step explanation:

The Scale Drawing uses a ratio

2 Inches : 3 Yards

Therefore,

1 Inch = 3/2 Yards

If the area of the scale drawing is 16 Inch²

To get the area of the actual office, we multiply by the square of the scale factor.

Scale Factor=3/2

Therefore:

The area of the actual office space

=16X(3/2)² Square Yards

=36 Square Yards

Answer:

36 square yards.

Step-by-step explanation:

This question is solved with rule of three and ratios

We know that 2 inches is equivalent to 3 yards, and the area in the drawing is 16 square inches.

so if

2 inches ---- 3 yards then 1 inch is 3/2 yards.

Let's say that the office is 8 inches x 2 inches = 16 squared inches

Then, if we convert it to yards,

8 inches would be: 8((3)/(2))=12 yards

and 2 inches would be: 2((3)/(2))=3 yards

Then, the area of the office would be 12 x 3 = 36 squared yards.

Lines g and h are parallel and m 1 = 45°. What is m 8?

Question 7 options:

45°

65°

115°

135°
Save

Answers

Answer:

m<8=45\°

Step-by-step explanation:

we know that

If the lines g and h are parallel

then

m<8=m<1 -----> by alternate exterior angles

see the attached figure to better understand the problem

we have that

m<1=45\°

therefore

m<8=45\°

parallel means m1 = m2
so m2=45

Given: 5 > x + 7. Choose the solution set.

{x | x R, x > -2}
{x | x R, x < -2}
{x | x R, x > 2}
{x | x R, x < 2}

Answers

5\ \textgreater \ x+7

Switch sides:

x+7\ \textless \ 5

Subtract 7 from both sides :

x+7-7\ \textless \ 5-7

x\ \textless \ -2

Answer B

{x | x R, x < -2}

hope this helps!

A train can travel 1136 miles in 4 hours. what is the unit rate that this train is traveling per hour? _____ miles per hour

Answers

Good Morning

4hours .........1136 miles

1 hour ...........x

Cross-Multiply

4x= 1136*1

4x= 1136

x= 1136/4

x= 284

The train is traveling 284 miles per hour


I hope that's help !


Happy Sunday :)


Final answer:

To find the unit rate of the train's speed, divide the total distance traveled by the total time taken.

Explanation:

To calculate the unit rate at which the train is traveling per hour, you can apply a straightforward formula: divide the total distance covered by the total time taken. In this specific instance, the train covered a distance of 1136 miles within a time frame of 4 hours.

So, the unit rate for the train's speed is determined as follows:

Total distance traveled (1136 miles) divided by the total time taken (4 hours) equals 284 miles per hour.

This unit rate, expressed as 284 miles per hour, is a crucial metric for assessing the speed at which the train is moving. Understanding unit rates is valuable not only in transportation but also in various fields like economics, physics, and everyday calculations where quantities are compared with respect to time.

Learn more about Unit Rate here:

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