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Usimov [2.4K]
3 years ago
7

What is the constant term in the expression 5x2 + 7x + 4?

Mathematics
1 answer:
Serga [27]3 years ago
3 0

Answer:

the number 4

Step-by-step explanation:

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A man is 30 years older than his son. In 6 years'
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the man (Dad) is 36 years old and the boy (Son‍) is 18 years old

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Volume of sphere Marcus is using small stone spheres
satela [25.4K]
<h2>Volume of Sphere</h2>

1. What is the radius of the stone sphere?

- To know what is the radius divide is by 2.

  • \large \tt 6 \div 2 = 3

Therefore, the radius of the stone sphere is 3in

2. What is the volume of the stone sphere?

- Using the formula in finding the Volume of Sphere \tt V = \frac{4}{3}\pi r^3 to get the answer. Where the volume of the sphere is \tt\frac{4}{3}\:\:\:\:\pi multiplied by the cube of the radius.

  • \tt V = \frac{4}{3}\pi r^3
  • \tt V = \frac{4}{3}\times 3.14\times 3in^3
  • \tt V = \frac{4}{3}\times 3.14\times 27in
  • \tt V = \frac{4}{3}\times 84.78in
  • \tt V = \frac{339.12in}{3}
  • \tt V = 113.04in^3

Therefore, the volume of the stone sphere is 113.04in³

3. Another stone sphere for the garden has a diameter of 10 inches. What is the volume of the stone sphere? Use 3.14 for <em>π</em>, and round to the nearest hundredth.

- Using the formula in finding the Volume of Sphere \tt V = \frac{4}{3}\pi r^3 to get the answer. Where the volume of the sphere is \tt\frac{4}{3}\:\:\:\:\pi multiplied by the cube of the radius.

  • \tt V = \frac{4}{3}\pi r^3
  • \tt V = \frac{4}{3}\times 3.14\times 5in^3
  • \tt V = \frac{4}{3}\times 3.14\times 125in
  • \tt V = \frac{4}{3}\times 392.5in
  • \tt V = \frac{1570in}{3}
  • \tt V = 523.33in^3

<h3>Explanation</h3>

Therefore, the volume of the stone sphere is 523.33in³

<h3>#CarryOnLearning</h3>
4 0
2 years ago
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Jana joined a music club that offered her 5 CDs for a total of 3.00 if she agreed to purchase an additional 10 CDs for 15.00 eac
Hunter-Best [27]

Answer:

Average price, excluding taxes, for each CD is <u>10.20</u>.

Step-by-step explanation:

Given:

Cost of first 5 CDs, C_1 = 3.00

Cost of each additional CD = 15.00

Now, cost of 10 additional CDs is the product of cost of one CD and total number of additional CDs. Therefore,

Cost of 10 additional CDs is, C_2=15.00\times 10=150.00

Now, total CDs purchased by Jana are, N=5+10=15

Total cost of the 15 CDs purchased is given as:

C_T=C_1+C_2=3.00+150.00=153.00

Now, average price, excluding taxes, for each CD is given as:

\textrm{Average price}=\frac{\textrm{Total cost of purchase}}{\textrm{Total number of CDs purchased}}\\\\\textrm{Average price}=\frac{C_T}{N}=\frac{153.00}{15}=10.20

Therefore, the average price, excluding taxes, for each CD is 10.20.

7 0
3 years ago
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