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2 years ago

Solve for x. Rolind to the nearest hundredth.

Mathematics

1 answer:

juin [17]2 years ago

7 0

Your answer is A) 4.41

cos(51°) = x/7
x = 7 • cos(51)
x = 4.4052 = 4.41

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Which exponential function is represented by the values in the table?

Goryan [66]

Answer:

$\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x$

Step-by-step explanation:

<u>Exponential Function</u>

The exponential function can be written with the general equation:

$f(x)=A\cdot r^x$

Where A is the value when x=0 and r>0 is the ratio. If r is greater than 1, the function is increasing, if r is less than 1, the function is decreasing.

The table shows the relation between values of x and values of the function y. Note that as x increases (one by one), y decreases with a ratio of 1/2. Only the last two choices have ratios of r=1/2. We only have to test which one of them has the correct value of y=4 when x=0.

Substituting in the third function:

$\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x$

$\displaystyle f(0)=4\cdot\left(\frac{1}{2}\right)^0$

$f(0) = 4$

This gives the correct value of f(0)=4.

Substituting in the fourth function:

$\displaystyle f(x)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^x$

$\displaystyle f(0)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^0$

$f(0) = \frac{1}{2}$

This choice is wrong

Correct choice:

$\boxed{\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x}$

8 0

3 years ago

Which equation represents the data shown in the table below?

gayaneshka [121]

I can’t really read this but I think it’s b

8 0

3 years ago

Avery wanted to make 4 cakes for a huge party. Each cake requires 1.25 cups of milk to make. How much milk will she need to make

Elina [12.6K]

Answer:

Step-by-step explanation:

She will need 5 cups of milk because 1.25 times 4 equals to 5!

4 0

2 years ago

Read 2 more answers

A car travels 480 miles on 15 gallons of gasoline. How many miles does the car travel per gallon?

ElenaW [278]

You take 480 and divide it by 15, because it says per gallon. so then if the car goes 480 miles with 15 gallons, you have to figure out how to find per gallon. you divide 480/15 and your answer is 32

5 0

2 years ago

Read 2 more answers

I need answer its due today

kicyunya [14]

Answer: 213 meters.

Step-by-step explanation:

A=2(wl+hl+hw) is the formula. l = 6, w = 3.5, h = 9 for this problem.

2([3.5 x 6]+[9 x 6]+[3.5 x 9])

2(21+54+31.5)

2(106.5)

A=213

Sorry if this isn’t a great explanation. Hope this helps.

7 0

3 years ago