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Nana76 [90]
3 years ago
13

Evaluate 3a for a = 5

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
7 0

Answer:

Hello There!!

Step-by-step explanation:

The answer is 15 as 3a=3×a so 3×5=15.

hope this helps,have a great day!!

~Pinky~

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The volume of a rectangular prism is b3 + 8b2 + 19b + 12 cubic units, and its height is b + 3 units. The area of the base of the
omeli [17]
Given:

The volume of the rectangular prism is 

b^{3}+8 b^{2} +19b+12,

the height is h=(b+3)

1. The volume of a rectangular prism is (base area)*height

also, notice that the volume is a third degree polynomial, the height is a 1st degree polynomial, so the base area must be a 2nd degree polynomial, whose coefficients we don't know yet.
Let this quadratic polynomial be (mb^{2}+nb+k)

 
2

b^{3}+8 b^{2} +19b+12=(mb^{2}+nb+k)*(b+3)


notice that  b^{3} is the product of the largest 2 terms: mb^{2} and b, so m must be 1

also, notice that 12 is the product of the constants, k and 3

so k*3=12, this means k=4

3
we write the above equality again:

b^{3}+8 b^{2} +19b+12=(b^{2}+nb+4)*(b+3)


(b^{2}+nb+4)(b+3)= b^{3}+3 b^{2} +nb^{2}+3nb+4b+12

== b^{3}+(n+3)b^{2}+(3n+4)b+12


4
now compare the coefficient with the left side:

8 b^{2}=(n+3)b^{2}

8=n+3

n=5


substituting n=5: 

the base area is b^{2}+5b+4

Answer: b^{2}+5b+4


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3 years ago
Last week, Tina worked 40 hours in 4 days. She worked the same number of hours each day. How many hours did she work each day? W
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She works 10 hour per day

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3 years ago
2. Find the value of the expression 21 – 2a if a = 3.
timama [110]

Answer:

A

Step-by-step explanation:

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7 0
3 years ago
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In a sample of digits(0,1,2,3,4,5,6,7,8,9,) what is the probability that a digit is 7 or greater
ad-work [718]

Answer:

\frac{3}{10}

Step-by-step explanation:

There are 10 numbers in total. Only three are 7 or greater: 7, 8, 9.

So the answer is \frac{3}{10}.

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Solve the equation. \dfrac32 + b = \dfrac74 2 3 ​ +b= 4 7 ​ start fraction, 3, divided by, 2, end fraction, plus, b, equals, sta
Xelga [282]

Given:

The equation is

\dfrac{3}{2}+b=\dfrac{7}{4}

To find:

The value of b.

Solution:

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\dfrac{3}{2}+b=\dfrac{7}{4}

Subtracting both sides by \dfrac{3}{2}, we get

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b=\dfrac{7-6}{4}

b=\dfrac{1}{4}

Therefore, the value of b is \dfrac{1}{4}.

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3 years ago
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