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2 years ago

-7 minus g is less than or equal to 6

Mathematics

1 answer:

Zanzabum2 years ago

5 0

Answer:

g>_13

Step-by-step explanation

Add 7 to the 6

then divide by -g

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A prism with a base area of 5 ft² and a height of 10 ft is dilated by a factor of 65 . What is the volume of the dilated prism?

mina [271]

Answer:

The volume of the dilated prism is $86.4ft^3$ .

Step-by-step explanation:

The original prism has base area $5ft^2$ and a height of $10ft$ .

The volume of the original prism is $v=5\times 10=50ft^3$ .

The prism is dilated by a scale factor of $k=\frac{6}{5}$ .

To find the volume of the dilated prism, we multiply the volume of the original prism by $k^3=\frac{216}{125}$ .

$V=\frac{216}{125} \times 50ft^3$

$\Rightarrow V=86.4ft^3$

3 0

2 years ago

1. Using the diagram below, answer the following question. Arthur is at the coordinate A(20,35), Cameron is at the coordinate C(

statuscvo [17]

Answer:

(42.5, 37.5)

Step-by-step explanation:

Given:

Arthur = A(20, 35)

Cameron = C(65, 40)

Jamie = J(45, 20)

Required:

Coordinate of the midpoint of the distance between A and C.

SOLUTION:

Midpoint (M) of AC, is given as:

$M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$

Let $A(20, 35) = (x_1, y_1)$

$C(65, 40) = (x_2, y_2)$

Plug the values into the given formula:

$M(\frac{20 + 65}{2}, \frac{35 + 40}{2})$

$M(\frac{85}{2}, \frac{75}{2})$

$M(42.5, 37.5)$

Coordinate Jamie should run towards is (42.5, 37.5)

8 0

2 years ago

The students at Barton academy are planning a fundraiser to give money to an organization in their community. They voted for whi

Aneli [31]

Shjdjdjfjfjfjfjfcggjcnfnfnfnnf

4 0

3 years ago

What is the probability of flipping a coin 10 times and getting tails 7 times ? Round your answer to the nearest tenth of a perc

KatRina [158]

Answer:

Option C: 11.7%

Step-by-step explanation:

The number of elements in sample space when a coin is flipped 10 times will be:

$n(S) = 2^{10} \\= 1024$

Let A be the event that the tails appear 7 times:

Then,

$C_{(n,k)}=\frac{n!}{(k!)(n-k)!} \\where\\n=population\\k=picks\\In our case, k =7\\and\\n=10\\C_{(10,7)}= \frac{10!}{(7!)(10-3)!}\\= 120\\So, \\P(A) = \frac{n(A)}{n(S)} \\P(A) = \frac{120}{1024} \\= 0.1171\\$

Converting into percentage:

$P(A) = 0.1171*100=11.7%$

So, option C is correct ..

6 0

3 years ago

Based on the polynomial remainder theorem, what is the value of the function when x = 4?

ipn [44]

Answer:

124

Step-by-step explanation:

When x=4, substitute 4 into the function to give f(4).

$f(4) = (4)^4 - 2(4)^3 + 5(4)^2 -20(4) -4\\f(4) = 256 - 2(64) + 5(16) - 80 -4\\f(4) = 256 -128 + 80 - 80 -4\\f(4) = 128+80-80-4\\f(4) = 208-80-4\\f(4) = 128-4\\f(4) = 124$

4 0

2 years ago