The main tank has a radius of 60 feet. What is the volume of the quarter-sphered sized tank? Round your answer to the nearest whole number. You must explain your answer using words, and you must show all work and calculations to receive credit.

Answers

Answer 1

Answer: If the main tank is spherical, then its volume is $\frac43\pi*60^3=288000\pi$ . A quarter-sphere would be one fourth of this volume, or $72000\pi$ .

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Vertical angles must: . . Check all that apply . . A. Be a linear pair. B. Have the same vertex. . C. Be adjacent . D. Be congruent.

Answers

The correct answers are:
B) have the same vertex
C) be congruent.

Explanation:
Vertical angles are defined as opposite angles that share only a vertex. This definition is why B is true.
Since they are opposite angles, that means that the sides of one angle will be opposite the sides of the other; since this is true, the angles must be congruent.

Answer: Vertical angles must have same vertex and be congruent.

Step-by-step explanation:

When two lines crosses each other , the opposite angles are known as vertically opposite angles or vertical angles where "vertical" refers to the vertex .

Also we know that Vertical angles theorem says that vertical angles are always congruent.

Therefore, Vertical angles must have same vertex and be congruent.

Determine whether each sequence is arithmetic or geometric. Sequence 1: –10, 20, –40, 80, ... Sequence 2: 15, –5, –25, –45, ...A. Sequence 1 is arithmetic and Sequence 2 is geometric.

B. Both sequences are geometric.

C. Sequence 2 is arithmetic and Sequence 1 is geometric.

D. Both sequences are arithmetic.

sequence 2 may be arithmetic because -20 but I can't find out what sequence 1 is

Answers

Hello,

Answer C

-10,20,-40,80,... $u_(n+1)=(-2)*u_(n)$ . is geometric

15,-5,-25,-45... $u_(n+1)=u_(n)-20$ . is arithmetic

Answer:

C. Sequence 2 is arithmetic and Sequence 1 is geometric.

Step-by-step explanation:

What is the factored form of 2x2 − 7x + 6?

Answers

split -7 up so that one is a multiplule of 2 and the other is a factor of 6

2x^2-4x-3x+6
(2x^2-4x)+(-3x+6)
undistribute
(2x)(x-2)+(-3)(x-2)
undistribute
(2x-3)(x-2)

the factored form of 2x² - 7x + 6 is (2x - 3)(x - 2).

To find the factored form of the quadratic expression 2x² - 7x + 6, we can look for two binomials that, when multiplied, give us the original expression.

First, we need to determine two numbers that multiply to give 12 (the product of the leading coefficient, 2, and the constant term, 6) and add up to -7 (the coefficient of the linear term, -7).

The numbers -4 and -3 fit these conditions.

Now, we can express the quadratic expression in factored form:

2x² - 7x + 6 = (2x - 3)(x - 2)

Therefore, the factored form of 2x² - 7x + 6 is (2x - 3)(x - 2).

Learn more about factor here

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Find the value of x in circle O.

Answers

i think you forgot to post the picture of circle O

Given: f(x) = 1/x+5 and g(x) = x-2.What are the restrictions of the domain of f(g(x))?
A. X-5
B. X=-3
C. X = 2
D. There are no restrictions.

Answers

Answer:B

Step-by-step explanation:

wyatt can husk at least 12 dozen ears of corn per hour and at most 18 dozen ears of corn per hour. Based on this information. what is a possible amount of time, in hours, that it could take wyatt to husk 72 dozen ears of corn?

Answers

If Wyatt can husk at least 12 an hour, then to work out how much 72 takes, we do 72 ÷ 12 to find out the time. The answer is 6.

If Wyatt can husk 18 at most, then we do 72 ÷ 18 = 4 hours.

Wyatt can husk 72 dozen ears in anywhere between 4 and 6 hours, but if you were to average it, you would get 5 hours. ((4 + 6) ÷ 2 = 5).

so a possible amount of time
find the range of highest and lowest
equation is
(number of corns per hour) times (number of hours)=72
so
12 times x=72 would be longest and
18 times y=72 would be shortest

solve
12 times x=72
divid 12
x=6
6 hours at most

18 times x=72
divide 18
x=4

at most 6 hours an at least 4 hours so
6>hours>4
any number of hours from 4 to 6 including 4 and 6

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