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3 years ago

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The size of a pizza is given by it's diameter. A 14 inch pizza is half pepperoni and half cheese. Which is the closest to the ar

ea of the pizza with pepperoni?

1 answer:

vovikov84 [41]3 years ago

8 0

Answer:

pi r^2= area

diameter is 14 whereas the radius is half so 7

therefore answer is 153.94

Step-by-step explanation:

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At the corner store, Nico bought 5 pencils for $0.10 each and 3 pens for $0.50 each. He used t to represent the sales tax, in do

Cloud [144]

Answer:

C. He should have added t instead of subtracting t.

Step-by-step explanation:

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3 years ago

Read 2 more answers

What is 26.895 rounded to (2dp decimal points)

8090 [49]

26.90 is the answer. hope this helps!

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4 years ago

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Starting at the same point at the same time, Samuel and Heather rode their bikes in the same direction. Samuel traveled 3km/h fa

12345 [234]

Samuel was going with 40 km/h and Heather was going with 37 km/h

Step-by-step explanation:

Starting at the same point at the same time, Samuel and Heather rode their bikes in the same direction

Samuel traveled 3 km/h faster than Heather
After 3.5 h Samuel stopped for a half-hour break, but Heather kept going
Heather was 8 km ahead of Samuel

We need to find how fast each was going

Assume that Heather's speed is x km/h

∵ Heather's speed = x km/h

∵ Samuel traveled 3 km/h faster than Heather

∴ Samuel's speed = x + 3 km/h

The formula of the distance is distance = speed × time

∵ Samuel travel for 3.5 hours

- Find the distance that Samuel traveled in 3.5 h

∴ Samuel distance = (x + 3) × 3.5

- Multiply the bracket by 3.5 to simplify

∴ Samuel distance = 3.5x + 10.5

∵ Samuel took a break for half hour

∵ Heather kept going

∵ At the end of the break, Heather was 8 km ahead of Samuel

- That means Heather was going for 4 hours (3.5 + 0.5), and her

distance is longer than Samuel distance by 8 km

∴ Heather distance = x × 4 = 4x

- Subtract the distance of Samuel from the distance of Heather

and equate the difference by 8

∵ 4x - (3x + 10.5) = 8

∴ 4x - 3x - 10.5 = 8

- Add the like terms in the left hand side

∴ 0.5x - 10.5 = 8

- Add 10.5 to both sides

∴ 0.5x = 18.5

- Divide both sides by 0.5

∴ x = 37

∵ x represents Heather's speed

∴ Heather's speed = 37 km/h

∵ x + 3 represents Samuel's speed

∴ Samuel's speed = 37 + 3 = 40 km/h

Samuel was going with 40 km/h and Heather was going with 37 km/h

Learn more:

You can learn more about the equation of motion in brainly.com/question/568302

#LearnwithBrainly

3 0

4 years ago

Use integration by parts to find the integrals in Exercise.<br> ∫(x+6)ex dx.

skelet666 [1.2K]

Answer:

$xe^x+5e^x$

Step-by-step explanation:

We have given integral $\int (x+6)e^xdx$

$\int (xe^x+6e^x)dx$

$\int (I_1+I_2)dx$ , here $I_1=xe^x$ and $I_2=6e^x$

Now first integrate $I_1$

So $I_1=\int xe^x$

Integrating by part

$I_1=x\int e^x-\int e^x\frac{d}{dx}x$

$I_1=x e^x- e^x$

$I_2=6\int e^x=6e^x$

So $I=I_1+I_2=xe^x-e^x+6e^x=xe^x+5e^x$

5 0

3 years ago

1) State the amplitude, period, phase shift, vertical shift and graph

bogdanovich [222]

Answer:

See answers and explanations below (along with a visual graph)

Step-by-step explanation:

For the function $y=acos(b(x+c))+d$ :

Amplitude: $|a|$

Period: $\frac{2\pi}{|b|}$

Phase shift: $\frac{-c}{b}$

Vertical shift: $d$

Therefore, for $y=2cos(\frac{2}{3}(\theta+\pi))-1$ :

Amplitude: $|a|=|2|=2$ , which is 2 units above and below the midline (see d)

Period: $\frac{2\pi}{|b|}=\frac{2\pi}{|\frac{2}{3}|}=\frac{2\pi}{\frac{2}{3}}=3\pi$ , so the cycle will repeat every 3π units

Phase shift: $\frac{-c}{b}=\frac{-\frac{2\pi}{3} }{\frac{2}{3} }=-\pi$ , or π units to the left

Vertical shift: $d=-1$ , or 1 unit down

3 0

3 years ago