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ratelena [41]
2 years ago
10

Evaluate x+y when x=13 and y=−74. Write your answer as a fractionin simplest form

Mathematics
1 answer:
Fofino [41]2 years ago
6 0

<u>The value of the expression is -35.</u>

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

<u>Consider the provided expression.</u>

<u>3x + y </u>

<u>We need to find the value of the expression for x=13 and y=−74 .</u>

<u>Substitute the value of x=13 and y=−74  in the above expression as shown:</u>

<u>3 (13) + (-74)</u>

<u>39 - 74 </u>

<u>-35</u>

<u> the value of the expression is -35.</u>

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The average mark of candidates in an aptitude test was 128.5 with a standard deviation of 8.2.Three scores extracted from the te
Luba_88 [7]

Answer:

102

Step-by-step explanation:

We have the mean (m) 128.5 and the standard deviation (sd) 8.2, we must calculate the value of z for each one and determine whether or not it is an outlier:

z = (x - m) / sd

In the first case x = 148:

z = (148 - 128.5) /8.2

z = 2.37

In the second case x = 102:

z = (102 - 128.5) /8.2

z = -3.23

In the first case x = 152:

z = (152 - 128.5) /8.2

z = 2.86

The value of this is usually between -3 and 3, therefore when x is 102 it goes outside the range of the value of z, which means that this is the outlier.

3 0
3 years ago
An open metal tank of square base has a volume of 123 m^3
snow_lady [41]

Answer:

  a) h = 123/x^2

  b) S = x^2 +492/x

  c) x ≈ 6.27

  d) S'' = 6; area is a minimum (Y)

  e) Amin ≈ 117.78 m²

Step-by-step explanation:

a) The volume is given by ...

  V = Bh

where B is the area of the base, x^2, and h is the height. Filling in the given volume, and solving for the height, we get:

  123 = x^2·h

  h = 123/x^2

__

b) The surface area is the sum of the area of the base (x^2) and the lateral area, which is the product of the height and the perimeter of the base.

S=x^2+Ph=x^2+(4x)\dfrac{123}{x^2}\\\\S=x^2+\dfrac{492}{x}

__

c) The derivative of the area with respect to x is ...

S'=2x-\dfrac{492}{x^2}

When this is zero, area is at an extreme.

0=2x -\dfrac{492}{x^2}\\\\0=x^3-246\\\\x=\sqrt[3]{246}\approx 6.26583

__

d) The second derivative is ...

S''=2+\dfrac{2\cdot 492}{x^3}=2+\dfrac{2\cdot 492}{246}=6

This is positive, so the value of x found represents a minimum of the area function.

__

e) The minimum area is ...

S=x^2+\dfrac{2\cdot 246}{x}=(246^{\frac{1}{3}})^2+2\dfrac{246}{246^{\frac{1}{3}}}=3\cdot 246^{\frac{2}{3}}\approx 117.78

The minimum area of metal used is about 117.78 m².

3 0
3 years ago
Here’s a graph of a linear function. Write the equation that describes that function. (Zoom in if blurry)
uranmaximum [27]

Answer:

Step-by-step explanation:

y=\frac{3}{2}x+1

8 0
3 years ago
Please help me with NUMBER 7 !! Thank you so much! 20 points!! :))
mart [117]

Answer:

x<-3 or x>-1

Step by step explanation:

Start with -5x>15. To get x by itself, we have to divide each side by -5. When we do that we get x<-3. (Don't forget to flip the sign when dealing with negative  · and ÷.) Now answer the second equation. x-5>-6 To get x by itself, add 5 to both sides to get x>-1. Now we have x<3 or x>-1.

8 0
3 years ago
Jason downloaded 288 pictures from his camera of the pictures 38% are of his family about how many pictures are of his family
Angelina_Jolie [31]

turn your percentage into a decimal. so 38. move your decimal 2 places to the left. which = .38
you do 288×.38=109.44

round the answer since it's 4 you make it 109

hope this helped :)

5 0
3 years ago
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