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MrRissso [65]
3 years ago
7

4^3/2-2^3*6+8(-1)^10

Mathematics
1 answer:
Pie3 years ago
3 0

Answer:

-24

Step-by-step explanation:

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13 candy bars weigh 26 ounces. what is the weight of 35 candy bars?
anygoal [31]
26 oz/13 bars = 2 oz/1 bar

Each bar weighs 2 oz

multiply the amount of bars to the amount they weigh:

35 x 2 = 70

35 bars weigh 70 oz

hope this helps
6 0
4 years ago
Two pumps are filling a pool. One of them is high power and can fill the pool alone in 2 hours less time than the other can do s
slega [8]

Answer:

4 hours

Step-by-step explanation:

Let x minutes be the time needed for the powerful pomp to fill the pool. Then x+120 minutes is the time needed to the other pomp to fill the pool. The powerful pomp fills \dfrac{1}{x} of the pool in a minute and the other pomp fills \dfrac{1}{x+120} of the pool in a minute. Filling together, they fill \dfrac{1}{x}+\dfrac{1}{x+120} of the pool in a minute and

144\cdot \left(\dfrac{1}{x}+\dfrac{1}{x+120}\right)

in 144 minutes.

Thus,

144\cdot \left(\dfrac{1}{x}+\dfrac{1}{x+120}\right)=1.

Solve this equation:

\dfrac{144(x+120)+144x}{x(x+120)}=1,\\ \\144x+144\cdot 120+144x=x^2+120x,\\ \\x^2-168x-17280=0,\\ \\D=(-168)^2-4\cdot (-17280)=97344,\\ \\x_{1,2}=\dfrac{-(-168)\pm \sqrt{97344}}{2}=\dfrac{168\pm 312}{2}=-72,\ 240.

Hence, it is needed the powerful pomp 240 minutes = 4 hours to fill the pool.

4 0
3 years ago
Would 5/5x2 3/4 be less greater or equal to 2 3/4
Nana76 [90]

Answer:

greater

Step-by-step explanation:

if you add them and do the multiplication it is greater

5 0
3 years ago
Read 2 more answers
Let f (x )equals x squared minus 10 x plus 6. a. Find the values of x for which the slope of the curve yequals​f(x) is 0. b. Fin
frutty [35]

The question is:

Let f(x) = x² - 10x + 6

a. Find the values of x for which the slope of the curve y = ​f(x) is 0.

b. Find the values of x for which the slope of the curve y = ​f(x) is -6.

Answer:

(a) The value of x for which the slope is 0 is 5

(b) The value of x for which the slope is -6 is 2

Step-by-step explanation:

Given y = f(x) = x² - 10x + 6

The Slope is given as dy/dx = f'(x)

It is obtained by differentiating y = f(x) once with respect to x.

Let us find the first derivative of

y = x² - 10x + 6

That is

dy/dx = 2x - 10

Now

(a) We want to find the value of x for which the slope dy/dx = 0

We set

2x - 10 = 0

And solve for x, to have

2x = 10

x = 10/2 = 5

(b) The value of x for which the slope is -6

We set

2x - 10 = -6

2x = -6 + 10 = 4

x = 4/2 = 2

5 0
4 years ago
Read 2 more answers
What is the domain and range of f(x)=4 x 2 to the x power
maria [59]

Answer:

  • domain: all real numbers
  • range: all positive real numbers

Step-by-step explanation:

The function is defined for all values of x, so the domain is all real numbers.

An exponential function has a horizontal asymptote at y=0. Multiplying it by 4 doesn't change that. The value cannot be zero, and it cannot be negative. The range is all positive real numbers.

6 0
3 years ago
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