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yan [13]
3 years ago
9

Please help! 5^3 x 5^-7

Mathematics
1 answer:
nadya68 [22]3 years ago
7 0

Answer: 0.0016

Step-by-step explanation:

5^3 = 125

5^-7 = 0.0000128

125 * 0.0000128 = 0.0016

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Find the midpoint of the segment whose endpoints are (-6,-8) and (3,6) show your work!
pogonyaev

Answer:

-1.5, -1

Step-by-step explanation:

midpoint formula

(x1 + x2 / 2) , (y1 + y2/ 2)

-6 + 3 / 2 ,   -8  + 6 / 2

3 0
2 years ago
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Find the variable h+ 1/2 = 3 1/4
Elena L [17]

Answer:

h=2 3/4

Step-by-step explanation:

2 3/4+1/2=

you can convert 1/2 into 2/4 so they have like denominators

2 3/4+2/4= 2 5/4 which is also equal to 3 1/4

7 0
3 years ago
1.Mr. Bowen’s test is normally distributed with a mean of 75 and a standard deviation of 3 points.
lianna [129]

Answer:

2.28%

Step-by-step explanation:

Mr. bowens test is normally distributed with a mean (μ) of 75 and a standard deviation (σ) of 3 points.

The z score is used in probability to show how many standard deviation is a raw score below or above the mean. The formula for the z score (z) is given by:

z=\frac{x-\mu}{\sigma}

For a raw score (x) of 81 points, the z score can be calculated by:

z=\frac{x-\mu}{\sigma}=\frac{81-75}{3}=2

Therefore from the normal probability distribution table, the probability that a randomly selected score is greater than 81 can be given as:

P(x > 81) = P(z > 2) = 1 - P(z < 2) = 1 - 0.9772 = 0.0228 = 2.28%

7 0
3 years ago
The cost to produce a product is modeled by the function f(x) = 5x2 − 70x 258, where x is the number of products produced. compl
ad-work [718]

The minimum cost to produce the product is $7.

What are functions?

  • A function from a set X to a set Y allocates exactly one element of Y to each element of X.

To determine the minimum cost:

We have to determine the minimum cost of producing this product.

Since f(x) = 5x^{2} -70x+258.

Now, consider the equation 5x^{2} -70x+258= 0.

Dividing the above equation by 5, we get

x^{2} -70x/5+258/5=0\\x^{2} -14x+258/5=0

Now, considering the coefficient of 'x', dividing it by '2' and then adding and subtracting the square of the number which we got after dividing.

Since the coefficient of 'x' is 14, and half of 14 is '7'.

So, adding and subtracting from the above equation.

x^{2} -14x+(7)^{2} -(7)^{2}+258/5=0\\x^{2} -14x+49 -49+258/5=0\\(x-7)^{2} -49+258/5=0\\(x-7)^{2} +258-245/5=0\\(x-7)^{2} +13/5=0\\5(x-7)^{2} +13=0

Now, we have to determine the minimum cost to produce the product.

Since f(x) = 5x^{2} -70x+258.

f'(x) = 10x-70

Now, let f'(x)=0

10x-70=0\\10x=70

Therefore, x=7

Now, consider which is greater than 0.

Therefore, x= 7 is the minimum cost.

Know more about functions here:

brainly.com/question/25638609

#SPJ4

5 0
2 years ago
Please help me answer this one question
EleoNora [17]

Answer:

1=b. 2=a

Step-by-step explanation:

Since there are corresponding angles, 1 and b will be congruent, and 2 and a will be congruent.

7 0
3 years ago
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