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Ivenika [448]
3 years ago
15

Can someone please solve this. I got 81

Mathematics
1 answer:
aksik [14]3 years ago
6 0
To solve:

Find the volume of the pyramid first:
Base=9
Height=3
Volume=1/2(3)(9)=13.5

Then the volume of the rectangular prism:
Base=9
Height=16
Volume=144

Add the volumes of the two shapes together:
144+13.5=157.5

Answer: 157.5 ft^3
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C Bill drove at a rate that was 10 mph faster than the rate Kevin drove
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2 years ago
Let sets A and B be defined as follows.
VashaNatasha [74]
<h3>Given</h3>

  • Set A: A = {-26, -25, -24, -23, - 22, - 21}
  • Set B: B ∈ {x: x is even, x ≥ 6 and x ≤ 20}

<h3>(a) </h3>

<em />

<em>Cardinality means the number of elements in the set.</em>

Cardinality of the set A:

n(A) = 6, since we can count 6 elements.

Set B has even numbers between 6 and 20, both included:

  • B = {6, 8, 10, 12, 14, 16, 18, 20}

Then its cardinality is:

  • n(B) = 8

<h3>(b) </h3>

To solve this we need to compare the elements of sets A or B with numbers given:

  • -22 ∈ A, True       ⇒  -22 is listed as element of A
  • 6 ∈ B, True          ⇒  6 is listed as element of B
  • - 21 ∉ A, False     ⇒  - 21 is listed as element of A
  • 2 ∈ B, False         ⇒  2 is not listed as element of B
5 0
2 years ago
What are the zeros of the polynomial function? <br><br> F(x)= x^2 +12x
Pavel [41]

Answer:

x = 0 and x = -12 are the two zeroes

Step-by-step explanation:

"Zeroes" of a function are also called the solutions, roots or x intercepts.

The zeroes are the numbers that give the function a values of 0, so find what value for 'x' yields F(x) = 0 as a result.

With quadratic equations (equations with x² as the largest exponent), you factor the equation.  

Step 1: Set the equation equal to zero

  x² + 12x = 0

 Depending on the equation, there are several methods you can use to factor, for this one we can factor out an 'x' since both terms have an 'x' in them.  We get...

  x(x + 12) = 0      

So now, using the "zero product property" which means that if two things are multiplied together, and the result is zero, then either the first term is zero, the second term is zero, or they are both zero.  So we set each term equal to zero and solve.

So

either    x = 0     or        x + 12 = 0

Solve each for x to get your two anwers.

x= 0 is already solved, so 0 is our first zero

Now solve

x + 12 = 0  

  x = -12             (subtract 12 from both sides to isolate x)

 

8 0
3 years ago
How do you write 1/30 in decimal form?
Anarel [89]
Converting the fraction 1/30 into a decimal is very easy. 

To get 1/30 converted to decimal, you simply divide 1 by 30.
1/30 as a decimal is:

<span>0.033333333</span>
8 0
3 years ago
B(n)=1 (-2)^n-1<br> What is the 4th term in the sequence
zzz [600]

Answer:

The fourth term of the sequence B(4) =-8

The sequence is 1,-2,4,-8...

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that the sequence

     B(n) = 1(-2)ⁿ⁻¹

Put n=1

    B(1) = 1(-2)¹⁻¹ = 2⁰ =1

Put n=2

   B(2) = 1(-2)²⁻¹ = (-2)¹ =-2

Put n=3

  B(3) =1(-2)³⁻¹ = (-2)² =4

Put n=4

B(4) = 1(-2)⁴⁻¹ =(-2)³ =-8

The sequence

1,-2,4,-8...

5 0
3 years ago
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