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lesantik [10]
2 years ago
5

Write as an equation: Mike, Carroll, and Jim, empty their wallets and have $175 total. Mike has three times

Mathematics
1 answer:
Marina86 [1]2 years ago
7 0

Answer:

  C.  j +2j + 3(2j) = 175

Step-by-step explanation:

Let j represent the amount of money Jim has.

Carroll has twice that amount, so has 2j.

Mike has 3 times the amount Carroll has, so has 3(2j).

The sum of these quantities is 175, so the equation can be written ...

  j + 2j + 3(2j) = 175 . . . . . matches choice C

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At what values of x does f(x) = x^3 - 2x^2 -4x+1 satisfy the mean value theorwm on [0,1]
denis-greek [22]

Answer:

x=1/3

Step-by-step explanation:

A function f is given as

f(x) = x^3-2x^2-4x+1 in the interval  [0,1]

This function f being an algebraic polynomial is continuous in the interval [0,1] and also f is differntiable in the open interval (0,1)

Hence mean value theorem applies for f in the given interval

f(1) = 1-2-4+1 = -4\\f(0) = 1

The value

\frac{f(1)-f(0)}{1-0} =\frac{-4-1}{1} =-5

Find derivative for f

f'(x) = 3x^2-4x-4

Equate this to -5 to check mean value theorem

3x^2-4x-4=-5\\3x^2-4x+1=0\\\\(x-1)(3x-1) =0\\x= 1/3 : x = 1

We find that 1/3 lies inside the interval (0,1)

4 0
3 years ago
Laurent invested some money in a bank account.
zavuch27 [327]

Answer:

1.04

Step-by-step explanation:

"Complete the following sentence about the yearly rate of change in the amount of money in the account.  Round your answer to two decimal places.

Every year, the amount of money in the account increases by a factor of _."

Mdecade(t) = 4900 (1.5)^t, where t is in decades.

One year is 0.1 decades, so M increases by a factor of:

1.5^0.1 = 1.04

4 0
3 years ago
Bradley made a house for his dog, Bowser, out of wood with a cube base and a triangular prism top. The dimensions of the dog hou
Luda [366]
The complete question is
<span>Bradley made a house for his dog, Bowser, out of wood with a cube base and a triangular prism top. The dimensions of the dog house are a = 2 feet, b = 1 foot, and c = 1.4 feet.
</span><span>If Bradley plans to paint the outside of the dog house blue, not including the bottom, how many square feet of paint will he use?

the picture in the attached figure
</span>
we know that

surface area of the figure=surface area of cube+surface area of triangular prism

surface area of cube=4*a²----> 4*2²-----> 16  ft²

surface area of triangular prism=2*[a*c]+2*[a*b/2]---> 2*[2*1.4]+[2*1]
surface area of triangular prism=5.6+2----> 7.6 ft²

surface area of the figure=16 ft²+7.6 ft²----> 23.6 ft²

the answer is
23.6 ft²

7 0
3 years ago
Read 2 more answers
Help quick
xeze [42]

48/53

Steps

15 inches = 1.25 feet

Ratio = 12 : 1.25

Simplified = 9.6 : 1

9.6 + 1 = 10.6

9.6/10.6 = 48/53

Checking...

12 feet = 144 inches

Ratio = 144 : 15

144 + 15 = 159

144/159 = 48/53

5 0
2 years ago
Read 2 more answers
In ΔNOP, p = 85 inches, ∠O=57° and ∠P=113°. Find the length of o, to the nearest 10th of an inch.
PolarNik [594]

Answer:

77.4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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