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wariber [46]
3 years ago
9

Antonio can run a mile in 6.5 minutes. how many minutes will it take him to run 4.25 miles?

Mathematics
2 answers:
NikAS [45]3 years ago
3 0
27.625 minutes i believe. 
Tpy6a [65]3 years ago
3 0

Step-by-step explanation:

It is given that, Antonio can run a mile in 6.5 minutes. We need to find for how many minutes will it take him to run 4.25 miles. It can be calculated using unitary method.

1 mile = 6.5 minutes

Let t is the time taken by Antonio to run 4.25 miles.  

4.25\ miles=6.5\times 4.25=27.62\ minutes

So, 27.62 minutes is taken by Antonio to cover 4.25 miles. Hence, this is the required solution.

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Given f(x) = 4x3 − 12x2 + 40x + 12, find f(–2). A) f(–2) = –52 B) f(–2) = –96 C) f(–2) = –108 D) f(–2) = –148
AURORKA [14]

Given function : f(x) = 4x^3 -12x^2 + 40x + 12.

We need to find the values of f(-2).

In order to find the value of f(-2), we need to plug x=-2 in the given fucntion f(x) = 4x^3 -12x^2 + 40x + 12.

Replacing x by -2, we get

f(-2) = 4(-2)^3 -12(-2)^2 + 40(-2) + 12

We get (-2)^2 = -2 *-2*-2=-8 and (-2)^2 = -2 * -2 = 4.

f(-2) = 4(-8) -12(4) +40(-2) +12 .

f(-2) = -32 -48 -80+12.

f(-2) = -160 +12.

f(-2) = -148.

Therefore, correct option would be option D. That is  f(-2)=-148.                



8 0
3 years ago
A rectangular prism has a base length of 6 units, base width of 5 units, and height of 4 units. The bases are shaded.
Angelina_Jolie [31]

Answer:

Part 1) The lateral area is LA=88\ units^2

Part 2) The area of the two bases together is 2B=60\ units^2

Part 3) The surface area is SA=148\ units^2

Step-by-step explanation:

Part 1) Find the lateral area

we know that

The lateral area of a prism is given by

LA=Ph

where

P is the perimeter of the base

h is the height of the prism

so

P=2(6+5)=22\ units ----> perimeter of rectangle

h=4\ units ---> given

substitute

LA=22(4)=88\ units^2

Part 2) The area of the two bases together is?

The area of the rectangular base B is equal to

B=(6)(5)=30\ units^2

therefore

The area of the two bases together is

2B=2(30)=60\ units^2

Part 3) The total surface area is

we know that

The surface area is equal to

SA=2B+LA

substitute

SA=60+88=148\ units^2

4 0
3 years ago
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shepuryov [24]
1.Combine multiplied terms into a single fraction

2. Multiply by 1

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4.Simplify

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8.Simplify

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3 years ago
Which inequality represents that - 14 more
babunello [35]

Answer:

A) -14 + 2n > 18

Step-by-step explanation:

inequality represents that - 14 more than twice a number is no less than 18.

<h3>Hope it is helpful...</h3>
7 0
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