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Mrrafil [7]
3 years ago
7

(sphere) 8.5 cm Please help me

Mathematics
1 answer:
MrRissso [65]3 years ago
7 0

Answer: V = 321.39 cm

Step-by-step explanation:

Formula for Volume of sphere is 4/3(3.14 (pi))r^3

Radius = 4.25 (8.5/2)

4/3(3.14)(4.25)^3 = 321.39 cm (rounded off)

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Laura invest $300 into an account with an interest rate of 4% compounded annually. Write an exponential function to represent th
LiRa [457]

The exponential function that represents the future value of the investment is $300(1.04)^t.

<h3>What is the exponential function?</h3>

The exponential function that can be used to determine the future value of the investment is:

FV = P (1 + r)^nm

  • FV = Future value
  • P = Present value
  • R = interest rate
  • m = number of compounding
  • N = number of years

$300(1.04)^t.

Where t represents number of years

To learn more about future value, please check: brainly.com/question/18760477

7 0
2 years ago
Multiplying a trinomial by a trinomial follows the same steps as multiplying a binomial by a trinomial. Determine the degree and
FinnZ [79.3K]

Answer: Degree of polynomial (highest degree) =4

Maximum possible terms =9

Number of terms in the product = 5

Step-by-step explanation:

A trinomial is a polynomial with 3 terms.

The given product of trinomial: (x^2 + x + 2)(x^2 - 2x + 3)

By using distributive property: a(b+c+d)= ab+ac+ad

(x^2 + x + 2)(x^2 - 2x + 3)=(x^2 + x + 2) x^2+(x^2 + x + 2) (-2x)+(x^2 + x + 2)(3)\\\\=x^2(x^2)+x(x^2)+2(x^2)+x^2 (-2x)+x (-2x)+2 (-2x)+x^2 (3)+x (3)+2 (3)\\\\\\=x^4+x^3+2x^2-2x^3-2x^2-4x+3x^2+3x+6

Maximum possible terms =9

Combine like terms

x^4+x^3-2x^3+3x^2-4x+3x+6\\\\=x^4-x^3+3x^2-x+6

Hence, \left(x^2\:+\:x\:+\:2\right)\left(x^2\:-\:2x\:+\:3\right)=x^4-x^3+3x^2-x+6

Degree of polynomial (highest degree) =4

Number of terms = 5

6 0
3 years ago
Which rational number will result in a repeating decimal?
natita [175]

Answer:

D. 158/6

Step-by-step explanation:

If you divide 158/6 you get 26.3333333333 which is a repeating decimal, and makes it a rational number.

5 0
3 years ago
Ill give you brainliest&gt;&gt;&gt;Write an equation of the line passing through the point (5, 2) that is perpendicular to the l
11Alexandr11 [23.1K]

y= mx+b

(16, -7) = (x,y)

2(16) - 3y = 12

32 - 3y = 12

32 - 12 = 3y

20/3 = y

6.6 = y

2x-3(-7) = 12

2x+21 = 12

2x = 12 - 21

x = -9/2

Insert the values into y = mx + b

solve for m and then solve for b

6 0
3 years ago
The product of 9 and the quantity 5 more that a number,t, is less that 6
Pepsi [2]

The inequality is 9 ( t + 5 ) < 6.

In mathematics, an inequality is a relation that makes a non-same comparison between two numbers or different mathematical expressions. It is used most often to examine numbers on the quantity line by using their length.

Inequality, In mathematics, is a declaration of an order relationship—greater than, extra than or same too, much less than, or much less than or identical to—between numbers or algebraic expressions.

The definition of inequality is a difference in length, amount, exceptional, social function, or another component. An instance of inequality is if you have ten of something and a person else has none.

Let t be the number.

We know that,

The phrase "5 more than a number t" is equal to adding the number t and 5

(t+5)

The phrase "the product of 9 and the quantity 5 more than a number t" is equal to multiplying 9 by (t+5)

9(t+5)

Less represent the symbol " < ".

Therefore,

The inequality that represents this problem is 9(t+5) < 6.

Learn more about inequality here brainly.com/question/11613554

#SPJ1

7 0
2 years ago
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