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vladimir1956 [14]
11 months ago
10

Please please look at the picture and help me with this

Mathematics
1 answer:
kenny6666 [7]11 months ago
6 0

Step-by-step explanation:

ur right because y is pumpkin 3 is the slope and x is the apple

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Find the area of a plane figure bounded by lines
natulia [17]

Answer: 4.5

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

First, find the points of intersection by solving the system.

y = x² + 2x + 4

y = x + 6

Solve by substitution:

x² + 2x + 4 = x + 6   ⇒   x² + x - 2 = 0   ⇒   (x + 2)(x - 1) = 0   ⇒   x = -2, x = 1

Now, integrate from x = -2 to x = 1

\int\limits^1_2 {(x+6)-(x^{2}+2x+4) } \,    <em>the bottom of the integral is -2 </em>

= \int\limits^1_2 {x+6-x^{2}-2x-4 } \,

= \int\limits^1_2 {-x^{2}-x+2 } \,  

= \frac{-x^{3}}{3} - \frac{x^{2}}{2}+2x\int\limits^1_2 {} \,

= (\frac{-1^{3}}{3} - \frac{1^{2}}{2}+2(1)) - (\frac{-(-2)^{3}}{3} - \frac{(-2)^{2}}{2}+2(-2))

= (\frac{-1}{3} - \frac{1}{2} +2) - (\frac{8}{3} -\frac{4}{2} -4)

= \frac{-9}{3} + \frac{3}{2} +6

= -3 + 1.5 + 6

= 4.5


3 0
3 years ago
A triangle with an area of 37 units? is dilated by a scale factor of . Find the area of
sergeinik [125]

Answer:

<u>58 units</u>

Step-by-step explanation:

I decided that one side is 37 units and another is 2 units, since that would make the area 37 units. (you can also use 74 units and 1 unit)

Then I multiplied 37 by 5/4, which equals a new length of 46.25 units, and I also multiplied 2 by 5/4, which equals a new length of 2.5 units.

Finally, I solve for the area of the triangle:

1/2(46.25 x 2.5) ≈ <u>58 units</u> (rounded to the nearest whole number)

7 0
2 years ago
Can someone please answer this (please don’t send a tinyurl link)
sweet [91]
A. 35% decrease yearly
B. 267.75
C. How much the computer is worth after 4 years
7 0
3 years ago
PLEASE ANSWER!! GRADE 7 PRE ALGEBRA!!
NARA [144]
Divide 2106 by 27 = 78 

78 is the answer
4 0
2 years ago
One year had the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitcher at
lord [1]

Answer:

Thomas had the better year relative to their​ peers.

Step-by-step explanation:

<u>The complete question is</u>: One year Thomas had the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitcher at his​ school, with an ERA of 3.31. ​Also, Karla had the lowest ERA of any female pitcher at the school with an ERA of 3.02. For the​ males, the mean ERA was 4.837 and the standard deviation was 0.541. For the​ females, the mean ERA was 4.533 and the standard deviation was 0.539. Find their respective​ z-scores. Which player had the better year relative to their​ peers, or ​? ​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)

We are given that for the​ males, the mean ERA was 4.837 and the standard deviation was 0.541. For the​ females, the mean ERA was 4.533 and the standard deviation was 0.539.

As, we know that the z-score is calculated by the following formula;

                                 Z  =  \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = population mean

           \sigma = standard deviation

Now, firstly we will calculate the z score for Thomas;

z-score = \frac{X-\mu}{\sigma}

            = \frac{3.31-4.837}{0.541}  = -2.823

{Here, the mean ERA for the males was 4.837 and the standard deviation was 0.541}

Similarly, we will calculate the z score for Karla;

z-score = \frac{X-\mu}{\sigma}

            = \frac{3.02-4.533}{0.539}  = -2.807

{Here, the mean ERA for the females was 4.533 and the standard deviation was 0.539}

Now, it is stated in the question that the lower the​ ERA, the better the​ pitcher.

So, we can clearly see that Thomas had a lower ERA of z-score as -2.823 < -2.807. This means that Thomas had the better year relative to their​ peers.

5 0
3 years ago
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