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yaroslaw [1]
3 years ago
9

What 2 numbers equal -36 when multiplied together but equal 0 when added together?

Mathematics
1 answer:
Lelu [443]3 years ago
7 0
You can do that using  +6  and  -6 .

(6) · (-6)  =  - 36

(6) + (-6)  =  0
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PLZ HELP What is the best approximation of the solution to the system to the nearest integer values? (2, 3) (1, 3) (3, 4) (3, 2)
Kruka [31]

Answer:

  (2, 3)

Step-by-step explanation:

The point with integer coordinates nearest the solution point seems to be (2, 3).

8 0
2 years ago
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What is the best method to be use in solving quadratic equation x²+16x+63=0?​
Strike441 [17]

Answer:

Factorization

Step-by-step explanation:

This can be easily factorized into (x+7)(x+9)=0 which can be solved for the two roots x = -7 and x = -9

7 0
3 years ago
Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice crea
asambeis [7]

Answer:

The conclusion for this hypothesis test would be that the average American consumes less than or equal to 17 ounces of ice cream per month.

Step-by-step explanation:

We are given that Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice cream per month.

A random sample of 25 Americans was found to consume an average of 19 ounces of ice cream last month. The standard deviation for this sample was 5 ounces.

<u><em>Let </em></u>\mu<u><em> = average ounces of ice cream consumed by American per month</em></u>

So, Null Hypothesis, H_0 : \mu \leq 17 ounces     {means that the average American consumes less than or equal to 17 ounces of ice cream per month}

Alternate Hypothesis, H_A : \mu > 17 ounces    {means that the average American consumes more than 17 ounces of ice cream per month}

The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about population standard deviation;

                                 T.S.  = \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample average = 19 ounces

             s = sample standard deviation = 5 ounces

             n = sample of Americans = 25

So, <u><em>test statistics</em></u>  =  \frac{19-17}{\frac{5}{\sqrt{25} } }  ~ t_2_4

                               =  2

The value of the test statistics is 2.

<em>Now at 0.025 significance level, the </em><u><em>t table gives critical value of 2.06 at 24 degree of freedom for right-tailed test</em></u><em>. Since our test statistics is less than the critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to </em><u><em>which we fail to reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that the the average American consumes less than or equal to 17 ounces of ice cream per month.

8 0
3 years ago
At 8:30 A.M.., Briana started filling a 2,800-gallon pond. At 10:30 A.M., she had filled 1,400 gallons. At what time will the po
Sati [7]

Answer:

12:30 pm

Step-by-step explanation:

8:30 am pond is empty

10:30 am pound is 1,400 gallons full

  time?    pound is 2,800 gallons full

from 8:30 to 10:30 are 2 hours so the rate of filling up is

             1,400 gallons in 2 hours

to have a whole pond filled we need another 2 hours because

in another 2 hours will have another 1,400 gallons so a pound full. 8:30 am + 2hours = 12:30 pm

8:30 am pond is empty

10:30 am pound is 1,400 gallons full

12:30 pm pound is 2,800 gallons full.

3 0
2 years ago
A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 20 inches long
Pie

Answer:

Surface area of pyramid with base equilateral triangle is 390+100\sqrt{3} square inches

Step-by-step explanation:

Recall the following result:

The total surface area(S) of a regular pyramid is given by,

S = \frac{1}{2}pl+B                                       ...... (1)

Here, p represents the perimeter of the base , l the slant height and B the base area of the pyramid.

From the given information:

Side of equilateral triangle = 20 inches

Slant height of the pyramid(l) = 13 inches.

First find the perimeter and Area of the base pyramid.

Perimeter of equilateral triangle(p) = 3 \times (side)

                                                          = 3 \times 20 = 60 inches

Area of equilateral triangle(B) = \frac{\sqrt{3} }{4} \times (side)^{2}

                                                 =\frac{\sqrt{3} }{4} \times (20)^2 = 100\sqrt{3}  square inches.

Substitute the above values in equation (1) as shown below:

S=\frac{1}{2} \times 60 \times 13+100\sqrt{3}

S= 390+100\sqrt{3} square inches

Hence, the surface area of pyramid with base equilateral triangle is 390+100\sqrt{3} square inches.

6 0
2 years ago
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