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lara [203]
3 years ago
14

Use the distributive property to write an expression equivalent to 5X (3+4)

Mathematics
1 answer:
podryga [215]3 years ago
8 0

First, distribute (multiply) 5x to 3.  You get --> 15x.


Next, distribute 5x to 4.  You get --> 20x.


Now, combine the two terms with addition.  15x+20x=35x.


35x is the answer.


Hope this helps!

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The pyramid shown has a square base that is 18 inches on each side. The slant height is 16 inches. What is the surface area of t
Alik [6]
The answer is 28sqinches Why The Surface Area of a pyramid is A=L×W×Have since the base is l×with combined it's now SA=BA×H
SA=18×16
SA=288sqinches.
4 0
3 years ago
the function y = 3.75 + 1.5(x - 1) can be used to determine the cost in dollars of x miles. What is the rate of change of the co
LenKa [72]

We are given

y=3.75+1.5(x-1)

where

y is the cost in dollars

x is distance in dollars

now, we can find derivative

y'=\frac{d}{dx}\left(3.75+1.5\left(x-1\right)\right)

=\frac{d}{dx}\left(3.75\right)+\frac{d}{dx}\left(1.5\left(x-1\right)\right)

=0+1.5

so,

y'=0+1.5

So,

the rate of change of the cost in dollars with respect to the number of miles is 1.5.........Answer

5 0
3 years ago
Can anyone please help me :)
Solnce55 [7]

Answer:

5 to the 15th power.

Step-by-step explanation:

PEMDAS requires us to do parenthesis, then exponents, and then division. Let's do 5³. 5x5x5 is equal to 125. Now, we find 125 to the ninth power. According to my calculations, 125 to the ninth power is equal to 7,450,580,596,923,828,125. Now, we find 5 to the twelfth power, which, according to my calculations, is 244,140,625. Now, we solve. According to my calculations, 7,450,580,596,923,828,125/244,140,625 is equal to 30,517,578,125. 30,517,578,125 is equivalent to 5 to the 15th power. That means that the second option is correct. I hope this helps!

3 0
3 years ago
Someone please help me
amid [387]

Answer: that is equivalent to 447

Step-by-step explanation:

5 0
3 years ago
The probability that a randomly selected 2 2​-year-old male garter snake garter snake will live to be 3 3 years old is 0.98861 0
Mnenie [13.5K]

Answer:

a. Probability = 0.97735

b. Probability = 0.92294

c. P(At\ Least\ One) = 1

No, it is not unusual if at least 1 lives up to 3.

Step-by-step explanation:

Given

Represent the probability that a 2 year old snake will live to 3 with P(Live);

P(Live) = 0.98861

Solving (a): Probability that two selected will live to 3 years.

Both snakes have a chance of 0.98861 to live up to 3 years.

So, the required probability is:

Probability = P(Live)\ and\ P(Live)

Probability = 0.98861 * 0.98861

Probability = 0.9773497321

Probability = 0.97735 <em>--- Approximated</em>

Solving (b): Probability that seven selected will live to 3 years.

All 7 snakes have a chance of 0.98861 to live up to 3 years.

So, the required probability is:

Probability = P(Live)^n

Where n = 7

Probability = 0.98861^7

Probability = 0.92294324145

Probability = 0.92294 <em>--- Approximated</em>

Solving (c): Probability that at least one of seven selected will not live to 3 years.

In probabilities, the following relationship exist:

P(At\ Least\ One) = 1 - P(None).

So, first we need to calculate the probability that none of the 7 lived up to 3.

If the probability that one lived up to 3 years is 0.98861, then the probability than one do not live up to 3 years is 1 - 0.98861

This gives:

P(Not\ Live) = 0.01139

The probability that none of the 7 lives up to 3 is:

P(None) = P(Not\ Live)^7

P(None) = 0.01139^7

Substitute this value for P(None) in

P(At\ Least\ One) = 1 - P(None).

P(At\ Least\ One) = 1 - 0.01139^7

P(At\ Least\ One) = 0.99999999999997513055642436060443621

P(At\ Least\ One) = 1 ---- Approximated

No, it is not unusual if at least 1 lives up to 3.

This is so because the above results, which is 1 shows that it is very likely for at least one of the seven to live up to 3 years

7 0
3 years ago
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