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3 years ago

Angelina has 5 cakes. She

Mathematics

1 answer:

Alexus [3.1K]3 years ago

3 0

Answer: Sh e will be able to cut 12 1/4 pieces

Step-by-step explanation: What you have to do first is divide. So you have to do keep, change, and then flip. Keep 5. Change the division sign to a multiplication sign. Flip the 2/5 to a 5/2. Then multiply. 5x5=25. 1x2=2. The answer will be 25/2. Then you have to simplify. Then you will get 12 1/4.

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The braking distance, in feet of a car a Travling at v miles per hour is given.

irakobra [83]

The braking distance is the distance the car travels before coming to a stop after the brakes are applied

a. The braking distances are as follows;

The braking distance at 25 mph, is approximately 63.7 ft.

The braking distance at 55 mph, is approximately 298.35 ft.

The braking distance at 85 mph, is approximately 708.92 ft.

b. If the car takes 450 feet to brake, it was traveling with a speed of 98.211 ft./s

Reason:

The given function for the braking distance is D = 2.6 + v²/22

a. The braking distance if the car is going 25 mph is therefore;

25 mph = 36.66339 ft./s

$D = 2.6 + \dfrac{36.66339^2}{22} = 63.7 \ ft.$

At 25 mph, the braking distance is approximately 63.7 ft.

At 55 mph, the braking distance is given as follows;

55 mph = 80.65945 ft.s

$D = 2.6 + \dfrac{80.65945^2}{22} \approx 298.35 \ ft.$

At 55 mph, the braking distance is approximately 298.35 ft.

At 85 mph, the braking distance is given as follows;

85 mph = 124.6555 ft.s

$D = 2.6 + \dfrac{124.6555^2}{22} \approx 708.92 \ ft.$

At 85 mph, the braking distance is approximately 708.92 ft.

b. The speed of the car when the braking distance is 450 feet is given as follows;

$450 = 2.6 + \dfrac{v^2}{22}$

v² = (450 - 2.6) × 22 = 9842.8

v = √(9842.2) ≈ 98.211 ft./s

The car was moving at v ≈ 98.211 ft./s

Learn more here:

brainly.com/question/18591940

8 0

2 years ago

40•(420:x-37)=200 помогите решить уравнение

miv72 [106K]

40•(420:x-37)=200 означает $40(\frac{420}{x}-37)=200$

разделите обе стороны на 40

$\frac{420}{x}-37=5$

добавить 37 с обеих сторон

$\frac{420}{x}=42$

умножить обе стороны на х
420=42x

разделите обе стороны на 42
10=x
x=10

4 0

3 years ago

For all values of x, f(x)=x2+3x and g(x)=x-4

Liono4ka [1.6K]

Answer:

Question is not understandable....

7 0

3 years ago

Suppose a basketball player has made 291 out of 389 free throws. If the player makes the next 2 free throws, I will pay you $38.

VMariaS [17]

Answer:

The expected value of the proposition is -$0.76.

Step-by-step explanation:

It is provided that a basketball player has made 291 out of 389 free throws.

Then rate of him making a free throw is,

$P(\text{free throw})=\frac{291}{389}=0.7481$

The probability that he makes the next 2 free throws is:

$P(\text{Next 2 free throws})=(0.7481)^{2}=0.5596$

The payout rules are:

If the player makes the next 2 free throws, I will pay you $38.
Otherwise you pay me $50.

Compute the expected value of the proposition as follows:

Expected value = $38 × P (Makes both) + (-$50) × P (Misses both)

$=($38\times 0.5596)+(-$50\times (1-0.5596))\\=21.2648-22.02\\=-0.7552\\\approx -$0.76$

Thus, the expected value of the proposition is -$0.76.

5 0

3 years ago

How do you do this question?

katovenus [111]

<h3>4 Answers: A, C, E, and F</h3>

================================================

Explanation:

Choice A is true assuming we have $a_n = (-1)^n*b_n$

In this case, $a_n = (-1)^n*\frac{1}{\sqrt{n}}$ and $b_n = \frac{1}{\sqrt{n}}$

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Choice B is false. See choice A above.

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Choice C is true. The sequence $\{b_n\}$ is decreasing. As n gets larger, $b_n$ gets smaller. This is because the denominator is growing larger with the numerator held constant.

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Choice D is false. This contradicts choice C.

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Choice E is true since the denominator is growing forever

This is similar to $\displaystyle \lim_{n \to \infty} \frac{1}{n} = 0$

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Choice F is true due to choices C and E being true.

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Choice G is false because it contradicts choice F.

8 0

4 years ago