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Kobotan [32]
3 years ago
10

Where v is the final velocity (in m/s), u is the initial velocity (in m/s), a is the acceleration (in m/s²) and s is the distanc

e (in meters). Find v when u is 8 m/s, a is 3 m/s², and s is 19 meters. A. 15 m B. 130−−−√ m C. 178−−−√ m D. 13 m
Mathematics
1 answer:
drek231 [11]3 years ago
6 0

Answer:

C. 178−−−√ m

Step-by-step explanation:

Given the following :

v = final velocity (in m/s)

u = initial velocity (in m/s)

a = acceleration (in m/s²)

s = distance (in meters).

Find v when u is 8 m/s, a is 3 m/s², and s is 19 meters

Using the 3rd equation of motion :

v^2 = u^2 + 2as

v^2 = 8^2 + 2(3)(19)

v^2 = 64 + 114

v^2 = 178

Take the square root of both sides :

√v^2 = √178

v = √178

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Grandma is trying out a new recipe for raisin bread. Each batch of bread dough makes three loaves, and each loaf contains 15 sli
Tom [10]

Answer:

0.108

Step-by-step explanation:

Using the poisson probability process :

Where :

P(x =x) = (e^-λ * λ^x) ÷ x!

Given that :

Each batch of bread = 3 loaves

Each loaf = 15 slices

Total slice per batch = 15 * 3 = 45 slices

Number of raising added = 100

Average number of raisin per slice, λ = 100/45 = 20/9

Hence,

Probability that a randomly chosen slice has no raising :

P(x = 0) = (e^-λ * λ^x) ÷ x!

P(x = 0) = (e^-(100/45) * (100/45)^0) ÷ 0!

P(x = 0) = (0.1083680 * 1) / 1

P(x = 0) = 0.108

8 0
3 years ago
Which expressions are equivalent to (5⋅x)⋅3 ? Drag and drop the equivalent expressions into the box
dimaraw [331]

Answer:

First option.

Third option.

Fourth option.

Step-by-step explanation:

For this exercise is important to remember that equivalent expression have the same value.

Then given the following expression provided in the exercise:

(5x)3

You can find equivalent expression by:

-  Changing the position of 3:

3(5x)     (This matches with the first option)

- Solving the multiplication indicated. Then:

(5x)3=15x      (This matches with the fourth option)

- Writting x3 inside the parentheses:

5(x3)     (This matches with the third option)

4 0
3 years ago
Read 2 more answers
A chef buys 9 cucumbers, 18 peppers, and 21 tomatoes. How much did he spend?6 for 2 dollars for cucumbers 12 for 9 dollars for p
geniusboy [140]
6 Cucumbers = $2
 $2/6 = $0.33 per cucumber
12 peppers= $9
$9/12= $0.75 per pepper
6 tomatoes= $4
$4/6= $0.66 per tomatoes
9 cucumbers= $2.97
18 peppers= $13.5
21 tomatoes=$13.86
Total= (2.97+13.5+13.86)----> $30.33



3 0
3 years ago
By exercising regularly, Abby was able to improve her running right this year. Last year, Abby ran a mile in 12 minutes. This ye
OleMash [197]

Answer:

She decreased her running time at a rate of 16.67%

Step-by-step explanation:

In this question, we are asked basically to calculate the percentage decrease in Abby’s running time.

Mathematically, the percentage decrease equals: (new running time - old running time)/old running time * 100%

We input the values and proceed as follows:

Percentage decrease = (10-12)/12 * 100

-2/12 * 100/1 = -1/6 * 100 = -16.67%

Since it’s a decrease, we just simply say that her running time decrease by 16.67%

4 0
3 years ago
1) 35 is what percent of 140 2) 250 is 45% of what number? 3) 74 is what percent of 740? 4) 350 is 50% of what number?
densk [106]

Answer:

1) 25%

2) 555.56

3) 10%

4) 700

Step-by-step explanation:

1) 35 is what percent of 140

This is calculated as:

35/140 × 100

= 25%

2) 250 is 45% of what number?

Let the number be represented as x

This is calculated as:

45% of x = 250

45/100 × x = 250

45x /100 = 250

Cross Multiply

45x = 250 × 100

x = 25000/45

x = 555.55555556

x = 555.56

3) 74 is what percent of 740?

Let the percentage be represented by x

x% × 740 = 74

Divide both side by 740

x% = 74/740

x% = 0.1

Converting to percentage

0.1 × 100 = 10%

4) 350 is 50% of what number?

Let the number the represented by x

This is calculated as:

50% of x = 350

50/100 × x = 350

50x /100 = 350

Cross Multiply

50x = 350 × 100

x = 35000/50

x = 700

x = 555.56

5 0
3 years ago
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