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2 years ago

Can someone please help with number 7

Mathematics

1 answer:

zepelin [54]2 years ago

6 0

Answer:

Step-by-step explanation:

h(t) = - 6 cos (πt/30) + 7

determine value of t when h(t) = 3

3 = -6 cos (πt/30) + 7

-4 = -6 cos (πt/30)

cos (πt/30) = 2/3

πt/30 = 0.841069rad or 2π - 0.841069rad [in first cycle]

t = 0.841069*30/π = 8.03s or

t = 30/π (2π - 0.841069) = 30/π (5.44211630718) = 51.97s

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Then nth term of a sequence is 10-4n list the first 3 terms

BabaBlast [244]

6, 2, -2 i could be wrong :/

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3 years ago

A package of ground beef costs 6.98 the price per pound is 1.86. How many pounds of ground beef are in the package? Round to the

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3 pounds are in the package.

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3 years ago

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H. Goes through (-3, -2) and parallel to y = 5 x +5

olchik [2.2K]

Answer: y = 5x + 13

Step-by-step explanation:

Parallel means it has the same slope.

Given line y = 5x + 5 --> the slope is 5, so parallel slope is 5

Use the Point-Slope formula: y - y₁ = m(x - x₁) such that

m = 5
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y + 2 = 5(x + 3) input m and (x₁, y₁) into the Point-Slope formula

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3 years ago

Roberta has $10,540 to invest. She plans to invest her money in certificates of deposit (CDs) that have 2.1% interest, a stock p

ira [324]

Answer:

The amount invested in CDs is $1,340

The amount invested in the stock portafolio is $6,900

The amount invested in the saving accounts is $2,300

Step-by-step explanation:

Let

x ---->the amount invested in CDs at 2.1%

y ---> the amount invested in the stock portfolio at 2.5%

z ---> the amount invested in the savings account at 1.5%

$x+y+z=10,540$ ----> equation A

$z=\frac{1}{3}y$ ----> equation B

substitute equation B in equation A

$x+y+\frac{1}{3}y=10,540$

$x+\frac{4}{3}y=10,540$

$x=10,540-\frac{4}{3}y$ ----> equation C

we know that

The total interest earned by the three amount must be equal to $231.69

$0.021x+0.025y+0.015z=231.69$ ----> equation D

substitute equation B and equation C in equation D

$0.021(10,540-\frac{4}{3}y)+0.025y+0.015(\frac{1}{3}y)=231.69$

solve for y

$221.34-0.0315y+0.025y+0.005y=231.69$

$0.0015y=231.69-221.34$

$0.0015y=10.35$

$y=\$6,900$

Find the value of x

$x=10,540-\frac{4}{3}(6,900)$

$x=\$1,340$

Find the value of z

$z=\frac{1}{3}(6,900)$

$z=\$2,300$

7 0

4 years ago

It took Priya 5 minutes to fill a cooler with 8 gallons of water from a faucet that was flowing at a steady rate. Let w be the n

zvonat [6]

Complete question is;

It took Priya 5 minutes to fill a cooler with 8 gallons of water from a faucet that was flowing at a steady rate. Let w be the number of gallons of water in the cooler after t minutes. Which of the following equations represent the relationship between w and t? Select all that apply

A) w = 1.6t

B) w = 0.625t

C) t = 1.6w

D) t = 0.625w

Answer:

Option A: w = 1.6t

& Option D: t = 0.625w

Step-by-step explanation:

We are told It took Priya 5 minutes to fill a cooler with 8 gallons of water at a steady rate.

Thus;

Rate of filling = 8 gallons/5 minutes = 1.6 gallons/minutes

Now, we are told that w is the number of gallons of water in the cooler after t minutes.

Thus, to find w, we will multiply the rate by t minutes.

w = 1.6 gallons/minutes × t minutes

w = 1.6t gallons

Or we can write as;

w/1.6 = t gallons

0.625w = t gallons

Therefore, options A & D are correct.

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3 years ago

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