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lapo4ka [179]
3 years ago
5

Complete the division problem by determining the number that should be placed in the box. Division bracket with 12 on the left,

5496 inside, and 458 above it. Underneath the 5496, there is a minus 4800. Then there is a solid line with 696 under the line. There is a minus sign, and an empty box followed by a solid line. Beneath the line, there is a 96 minus 96 underneath. There is a solid line and a 0 to end the problem. (4 points)
Mathematics
1 answer:
Alenkinab [10]3 years ago
7 0

Answer:

600

Step-by-step explanation:

Just below the solid line, there is the remainder and just above the solid line, there is a multiple of 12.

The number with a negative sign is being subtracted to the above number.

The first subtraction is mentioned as

5496-4800=696, observe that 696 is just below the solid line.

Now, proceeding further in the same way, the number below the second solid line is 96 which is obtained when the number in the box is being subtracted to the above number 696.

Let the number in the box is x. So,

696-x=96

\Rightarrow x=696-96=600

Hence, the required number in the box is 600.

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alina1380 [7]

Answer:

84.9*64=5433.6

3900/2.6=1500

1080/15.9=67.9245283019

2.86*8.77*200=5016.44

1500/64=23.4375

6007/5.5=1092.1818....

Step-by-step explanation:

5 0
3 years ago
Use the given set to determine the solution for each equation.
GaryK [48]
The answer for your equation is: y = 9
4 0
3 years ago
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Solve 2x2 + 4x = 6 by factoring.
Reil [10]

Answer:

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5 0
3 years ago
Find the cost in dollars of the operating a 60-W lamp continuously for 1 week when the power utility rate is 18 cents/kWh .
Alex
<h2>Answer:</h2>

The cost in dollars is:

                       $ 1.8144

<h2>Step-by-step explanation:</h2>

It is given that:

The 60-W lamp is operated  continuously for 1 week.

We know that:

  1 week=7 days

and 1 day=24 hours

This means that:

     1 week=24×7

i.e.  1 week= 168 hours

Also, 1 kW=1000 W

This means that:

 1 W=0.001 kW

Hence,

 60-W=0. 060 KW

i.e. Power= 0.60 KW

Hence, the energy consumed is:

Energy=Power×Time

i.e.

Energy=0.060×168

i.e.

Energy=10.08 KWh

Also, cost of 1 KWh=18 cents

We know that:

1 cent=0.01 dollar

This means that:

18 cents=0.18 dollar

i.e.

Cost of 1 KWh=$ 0.18

Hence, cost of 10.08 KWh is: $ (0.18×10.08)

i.e.

Cost of 10.08 KWh is: $ 1.8144

7 0
3 years ago
If f(x) = |(x2 − 9)(x2 + 1)|, how many numbers in the interval [−1, 1] satisfy the conclusion of the mean value theorem?
ivann1987 [24]

Answer:

only one number c=0 in the interval [-1,1]

Step-by-step explanation:

Given : Function f(x) = |(x^2-9)(x^2 + 1)|   in the interval [-1,1]

To find : How many numbers in the interval [−1, 1] satisfy the conclusion of the mean value theorem.

Mean value theorem : If f is a continuous function on the closed interval [a,b] and differentiable on the open interval (a,b), then there exists a point 'c' in (a,b) such that f'(c)=\frac{f(b)-f(a)}{b-a}

Solution : f(x) is a function that satisfies all of the following :

1) f(x)  is continuous on the closed interval [-1,1]  

\lim_{x\to a} f(x)=f(a)

2) f(x) is differentiable on the open interval  (-1,1)

Then there is a number  c such that  f'(c)=\frac{f(b)-f(a)}{b-a}

f(a)=f(-1) = |(-1^2-9)(-1^2 + 1)|=|(-8)(2)|=16

f(b)=f(1) = |(1^2-9)(1^2 + 1)|=|(8)(2)|=16

f'(c)=\frac{f(b)-f(a)}{b-a}=\frac{16-16}{2}=0

f'(c)=0 ........[1]

Now, we find f'(x)

f(x) = |(x^2-9)(x^2 + 1)|

f(x) =x^4-8x^2-9

Differentiating w.r.t  x

f'(x) =4x^3-16x

In place of x we put x=c

f'(c) =4c^3-16c

f'(c) =4c^3-16c=0  (by [1], f'(c)=0)

4c(c^2-4)=0

4c=0,c^2-4=0

either c=0 or  c^2-4=0\rightarrow c=\pm2

we cannot take c=\pm2  because they don't lie in the interval [-1,1]

Therefore, there is only one number c=0 which lie in interval [-1,1] and satisfying the conclusion of the mean value theorem.



3 0
3 years ago
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