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2 years ago

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Let f and g be two functions whose second derivatives are defined. Then (f · g) '' = f · g '' + f '' · g. true or false?

1 answer:

Marianna [84]2 years ago

8 0

I hope this helps you

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5 roommates share the cost of an apartment: rent,electricity, and gas. rent costs 1800 and gas costs 150 per month. each roommat

Naddik [55]

Answer:

Electricity bill is 175

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Step-by-step explanation:

Given

$Rent = 1800$

$Gas = 150$

$Each\ Roommate = 425$ monthly

$Number\ of\ Roommate = 5$

Required

Determine the electricity bill

If each roommate pays 425, then 5 roommates pay 5 * 425

$Total = 5 * 425$

$Total = 2125$

This implies that: the monthly cost of room, gas and electricity add up to 2125.

In other words,

$Gas + Rent + Electricity = 2125$

$150 + 1800+ Electricity = 2125$

$1950+ Electricity = 2125$

$Electricity = 2125 - 1950$

$Electricity = 175$

<em>Hence, the electricity bill is 175</em>

4 0

2 years ago

Emerson is making a punch that contains 60% grape juice and the rest lemon-lime soda. The punch has 2 liters of lemon-lime soda.

valina [46]

Part A.

Consider a punch containing L liters.

60% of these that is $\frac{60}{100}L=0.6L$ is grape juice, and the rest, 0.4 L is lemon-soda.

so, for the variable L, the total amount of punch, the total amount of grape juice is 0.6 L
and the amount of lemon soda in the punch is 0.4L

Part B.

For L=2, we substitute and get:

0.6 L=0.6 * 2 liters = 1.2 liters of grape juice

0.4 L = 0.4 * 2 liters = 0.8 liters of lemon soda.

5 0

3 years ago

An 18 tip is left on an $84 dinner bill. Write 2 different expressions that can be used to determine the total paid for dinner

motikmotik

Answer:

4.66666667

Step-by-step explanation:

8 0

3 years ago

Find the 21st term of the arithmetic sequence with a first term

larisa86 [58]

At this case it could be calculated like this: 7+5*20=107

7 0

3 years ago

What is the surface area of a cone that has a radius of 8 feet and a slant height of 12 feet? (Use 3.14 for π.)

kodGreya [7K]

Answer:

Surface area of cone is $502.4\ ft^2$

Step-by-step explanation:

Given:

radius of a cone (r) = 8 feet

slant height of cone (l) = 12 feet

We need to find the surface area of cone.

Total surface area of cone = Area of circle $+$ Area of curved surface

Now we know that,

Area of circle = $\pi r^2$

Area of curved surface = $\pi rl$

Hence Total surface area of cone = $\pi r^2+\pi rl=\pi r(r+l) = 3.14 \times 8 (8+12)=3.14\times8\times20= 502.4 \ ft^2$

Surface area of cone is $502.4\ ft^2$ .

4 0

3 years ago