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myrzilka [38]
3 years ago
15

What the image of (- 6, 5) after a reflection over the line y = x ?

Mathematics
1 answer:
zubka84 [21]3 years ago
7 0

Answer:

25

Step-by-step explanation:

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Hector is rewriting the expression 7 Superscript 11 in expanded form. How many terms will be multiplied in his rewritten express
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Answer:11

Step-by-step explanation:just took the quiz <3

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3 years ago
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Which figure accurately represents the Pythagorean theorem?
Elena-2011 [213]

Figure B is the answer!

The formula for the Pythagorean theorem is

A^2+B^2=C^2

In figure B the units are squared. Making it your answer.

-Seth

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3 years ago
(c) The line with equation y = 2x +k is a tangent to curve y = 3x² +4. Find the value of k.​
statuscvo [17]

Answer:

k = 11/3

Step-by-step explanation:

If the line is tangent to the curve, then Δ = 0.

______________

Remembering:

Δ>0 two different points of intersection x' \neqx''

Δ=0 one point of intersection x' = x''

Δ<0 two different points of intersection in the complex plan x' and -x'

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As the line and the curve have one point of intersection, which is (x, y), we can make a equality between them:

2x + k = 3x² + 4

0 = 3x² - 2x + (4 - k)

Now we can use the Δ=0 (Δ= b² - 4ac)

Δ = 0 = (-2)² - 4.3.(4-k)

0 = 4 - 48 + 12k

12k = 44

k = 44/12 = 2 . 22 /3. 2.2 = 22/3.2 = 11/3

k = 11/3

6 0
2 years ago
The volume of a sphere is 32 3 π cubic centimeters. What is the radius? Sphere V = 4 3 πr3
allsm [11]

Answer:

To solve for the volume of a sphere, you must first know the equation for the volume of a sphere.

V=43(π)(r3)

In this equation, r is equal to the radius. We can plug the given radius from the question into the equation for r.

V=43(π)(123)

Now we simply solve for V.

V=43(π)(1728)

V=(π)(2304)=2304π

Answer is 2304

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3 years ago
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A new phone system was installed last year to help reduce the expense of personal calls that were being made by employees. Befor
Leya [2.2K]

Using the normal distribution, it is found that there was a 0.9579 = 95.79% probability of a month having a PCE between $575 and $790.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 700, \sigma = 50.

The probability of a month having a PCE between $575 and $790 is the <u>p-value of Z when X = 790 subtracted by the p-value of Z when X = 575</u>, hence:

X = 790:

Z = \frac{X - \mu}{\sigma}

Z = \frac{790 - 700}{50}

Z = 1.8

Z = 1.8 has a p-value of 0.9641.

X = 575:

Z = \frac{X - \mu}{\sigma}

Z = \frac{575 - 700}{50}

Z = -2.5

Z = -2.5 has a p-value of 0.0062.

0.9641 - 0.0062 = 0.9579.

0.9579 = 95.79% probability of a month having a PCE between $575 and $790.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

3 0
1 year ago
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