What's the answer for this question.

Answers

Answer 1

Answer: You're looking for a point that is not in the region where both functions touch (darker shade).

Points A, B, and D all fall into that region (even though you can't see it in the graph for D).

Your answer is C.

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How many gallons per day is 32 ounces per day?

Answers

Answer: 4096

Step-by-step explanation: 1 gallon=128 ounces, 128x32=4096

Final answer:

32 ounces per day is equal to 0.25 gallons per day.

Explanation:

To convert 32 fluid ounces per day to gallons per day, we need to use the conversion factor that 1 gallon = 128 fluid ounces. Divide 32 by 128 to get the equivalent in gallons per day:

32 fl oz ÷ 128 fl oz/gal = 0.25 gallons/day

Therefore, 32 ounces per day is equal to 0.25 gallons per day.

Learn more about Conversion of units here:

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By use of technology, we investigated Mary’s investment and created the model, M(x) = 3.03(1.28)2x, in thousands of dollars. What was Mary’s initial investment?

Answers

In this item, we are given with the exponential equation that predicts the amount that Mary is able to obtain through her initial investment. The characters are well identifiable. 3.03 is the initial investment, 28% is the rate and x is the number of years. Thus, the answer is 3.03.

Answer: Mary’s initial investment = $,3030

Step-by-step explanation:

Given: By use of technology, we investigated Mary’s investment and created the model, $M(x) = 3.03(1.28)^(2x)$

To find the initial investment, we substitute x =0, we get

$M(0) = 3.03(1.28)^(2(0))=3.03\text{ thousands of dollars}\n\n=3.03*1000=\$3,030$

Hence, Mary’s initial investment = $,3030

Given the function(x)=5x+4, find its inverse

Answers

the inverse is the reflection across the identiy line, the y=x line basically switch x and y and solve for y f(x)=5x+4 y=5x+4 swtich x=5y+4 solve for y x-4=5y (x-4)/5=y finverse=(x-4)/5

Make the function, f (x) into y. Then switch the variables y and x and solve for y : (x-4)/5

Marco's bedroom is a square that one side is 7 1/2 feet. Marco wants to come in at five carpet how many square feet of carpet will be needed for the bedroom.

Answers

Answer:11.25 square feet of each carpet will be needed for the bedroom.

Step-by-step explanation:

The formula for determining the area of a square is expressed as

Area = length^2

Marco's bedroom is a square that one side is 7 1/2 feet. Converting

7 1/2 feet to improper fraction, it becomes 15/2 feet.

Therefore, the area of Marco's bedroom would be

(15/2)^2 = 225/4 = 56.25 square feet.

Marco wants to come in at five carpet. It means that the number of square feet of each carpet that will be needed for the bedroom is

56.25/5 = 11.25

The diagram shows a solid which is half of a cone. Calculate the total surface area of the solid. a. ( 48 + 48 $\pi$ ) $cm^(2)$
b. ( 48 + 15 $\pi$ ) $cm^(2)$
c. ( 48 + 30 $\pi$ ) $cm^(2)$
d. ( 24 + 15 $\pi$ ) $cm^(2)$

Answers

Answer:

100πcm².

None of the options is correct

Step-by-step explanation:

Total surface area of a cone $S$ = $\pi r^(2)+\pi rl\n$

Since the diagram is half of a cone, its surface area will be $S = (\pi r^(2) +\pi rl)/(2)$

r = radius of the cone

l = slant height

From the diagram diameter of the cone = 16m;

r = 16/2 = 8m

l = 17m

$S = (\pi (8)^(2) +\pi (8)(17))/(2)\nS = (64\pi + 136\pi )/(2) \nS = 32\pi + 68\pi \nS = 100\pi cm^(2)$

In this triangle, the product of sin B and tan C is _____ , and the product of sin C and tan B is _______.

Answers

In this triangle, the product of sin B and tan C is c/a or cos B, and the product of sin C and tan B is b/a cos C. We determine these as follows:

sin B tan C = b/a (c/b) = c/a

sin C tan B = c/a (b/c) = b/a

Hope this answers the question. Have a nice day.

Answer

part 1 = c/a

part 2 = b/a

Sine is the ratio of opposite to hypotenuse respect to as agiven angle while tangent is the ratio of opposite to adjacent lengths of agiven angle.

Part 1

Sine = opposite/hypotenuse

SinB = b/a

Tangent = opposite/adjacent

TanC = c/b

SinB × TanC = b/a×c/b

= c/a

Part 2