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oksian1 [2.3K]
3 years ago
13

If f​(x​)=x+11 and g(x)=3x^2​, find ​(f+​g)(x​) and ​(f+​g)(5​).

Mathematics
1 answer:
Stella [2.4K]3 years ago
8 0
(f+g)(x) = f(x) + g(x) = x + 11 + 3x^2
(f+g)(5) = f(5) + g(5) = 5 + 11 +3(5^2) = 91
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jamal is making pancakes. He has 6 3/4 cups of batter, but he needs a total of 12 cups. How much more batter does Jamal need?
vampirchik [111]
Jamil has already 6 3/4 cups of butter.
He need 12. SO in order to get the needed butter, we subtract 6 3/4 to 12.

= 12 - 6 3/4
= 11 4/4 - 6 3/4
= 5 1/4

So Jamil needs 5 1/4 cups of butter to achieve the 12 cups.
8 0
3 years ago
The circumference of great circle of a hemisphere is 44 cm. find the total surface area of the hemisphere​
max2010maxim [7]

Answer:

I didn't know if you meant that the circumference of tje hemisphere was 44 or if the circumference of the cirkel in which the hemisphere exists is 44 but you rearrange the numbers.

Step-by-step explanation:

The formula for calculating a circumference is 2×pi×r, with r as tje radius of the cirkel. So in this instance we get 2×pi×r=44. r=44/(2×pi)=7.00 centimeters. The total surface area of a cirkel=pi×r^2=pi×7.00^2=154.06 meters squared. 154.06/2=77.03 meters squared (hemisphere is half of a cirkel)

6 0
3 years ago
What are three collinear points in the figure below?
algol [13]

Answer:

B. W,V,Z

Step-by-step explanation:

Collinear points are two more points in the same plane that lie in a straight line.

From the diagram, Z is the intersection of the two diagonals of quadrilateral VXWY.

The points V, Z and W lie along the same diagonal, hence they are collinear.

The point y, Z, and X also lie along the same diagonal, these are also collinear.

The correct choice is B

7 0
3 years ago
URGENT WILL MARK BRAINLIEST <br>Show your work and solve for x and y.<br>3x + y = 8<br>2x + 4y = 12​
mars1129 [50]
  • 3x+y=8--(1)

2x+4y=12

  • x+2y=6--(2)

  • (1)×1 and (2)×3

\\ \rm\Rrightarrow 3x+y=8

\\ \rm\Rrightarrow 3x+6y=18

Subtract both

\\ \rm\Rrightarrow -5y=-10

\\ \rm\Rrightarrow y=\dfrac{-10}{-5}

\\ \rm\Rrightarrow y=2

Put the value in eq(2)

\\ \rm\Rrightarrow x+2(2)=6

\\ \rm\Rrightarrow x+4=6

\\ \rm\Rrightarrow x=6-4=2

3 0
3 years ago
Read 2 more answers
Below are survival times (in days) of 13 guinea pigs that were injected with a bacterial infection in a medical study:
tresset_1 [31]

Outliers are data that are relatively far from other data elements.

The dataset has an outlier and the outlier is 120

The dataset is given as:

  • 91 83 84 79 91 93 95 97 97 120 101 105 98

Sort the dataset in ascending order

  • 79 83 84 91 91 93 95 97 97 98 101 105 120

<h3>The lower quartile (Q1)</h3>

The Q1 is then calculated as:

Q1 = \frac{N +1}{4}th

So, we have:

Q1 = \frac{13 +1}{4}th

Q1 = \frac{14}{4}th

Q1 = 3.5th

This is the average of the 3rd and the 4th element

Q1 = \frac{1}{2} \times (84 + 91)

Q1 = 87.5

<h3>The upper quartile (Q3)</h3>

The Q3 is then calculated as:

Q3 =  3 \times \frac{N +1}{4}th

So, we have:

Q3 =  3 \times \frac{13 +1}{4}th

Q3 =  3 \times 3.5th

Q3 =  10.5th

This is the average of the 10th and the 11th element.

Q_3 =\frac12 \times (98 + 101)

Q_3 =99.5

<h3>The interquartile range (IQR)</h3>

The IQR is then calculated as:

IQR = Q_3 -Q_1

IQR = 99.5 - 87.5

IQR = 12

Also, we have:

IQR(1.5) = 12 \times 1.5

IQR(1.5) = 18

<h3>The outlier range</h3>

The lower and the upper outlier range are calculated as follows:

Lower = Q_1 - IQR(1.5)

Lower = 87.5- 18

Lower = 69.5

Upper = Q_3 + IQR(1.5)

Upper = 99.5 + 18

Upper = 117.5

120 is greater than 117.5.

Hence, the dataset has an outlier and the outlier is 120

Read more about outliers at:

brainly.com/question/9933184

6 0
2 years ago
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