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victus00 [196]
3 years ago
14

4. A toy rocket is fired into the air from the top of a barn. It's height (h) above the ground in

Mathematics
1 answer:
Phantasy [73]3 years ago
6 0

Answer:

A) 25

Step-by-step explanation:

You use x= -b/2a in order to get your maximum so x= -10/ 2(-5) and you get x=1. You plug 1 into the function as h(1)=-5(1)^2 + 10(1)+ 20 which gets you 25

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PLEASE HURRY AND SOLVE!!!!
MissTica

Answer:

The constant of proportionality is 6

Step-by-step explanation:

Recall the equation for direct variation is y=kx where y varies directly with x and k is the constant of proportionality. If we take any listed coordinate point, we can determine the value of k. I will use (20,120) as an example:

y=kx\\\\120=k(20)\\\\6=k

Therefore, the constant of proportionality is 6

6 0
2 years ago
Please helpppppppppppppppp
Darya [45]

Answer:is (4x-5)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Sergey is solving 5x2 + 20% – 7 = 0. Which steps could he use to solve the quadratic equation by completing the
Mrac [35]

Answer:

5(x^2+4x)=7

5(x^2+4x+4)=7+20

(x+2)=\pm\sqrt{\frac{27}{5}}

Step-by-step explanation:

we have

5x^2+20x-7=0

step 1

Group terms that contain the same variable, and move the constant to the opposite side of the equation

5x^2+20x=7

step 2

Factor 5 left side

5(x^2+4x)=7

step 3

Complete the square

5(x^2+4x+2^2)=7+2^2(5)

5(x^2+4x+4)=7+20

5(x^2+4x+4)=27

step 4

Rewrite as perfect squares

5(x+2)^2=27

step 5

(x+2)^2=\frac{27}{5}

(x+2)=\pm\sqrt{\frac{27}{5}}

(x+2)=\pm\frac{3\sqrt{15}}{5}

step 6

x=-2\pm\frac{3\sqrt{15}}{5}

6 0
3 years ago
Read 2 more answers
Consider the following probability distribution function of the random variable X which represents the number of people in a gro
Troyanec [42]

Answer:

(a) 3.55

(b) 3.45 and 1.86

(c) 0.25

(d) 0.016

Step-by-step explanation:

The random variable <em>X</em> denotes the number of people in a group (party) at a restaurant.

(a)

The formula to compute the mean is:

\mu=\sum {x\cdot P(X=x)}

Consider the Excel sheet attached.

The mean is, 3.55.

(b)

The formula to compute the variance is:

\sigma^{2}=[\sum {x^{2}\cdot P(X=x)}]-(\mu)^{2}

Consider the Excel sheet attached.

Compute the variance as follows:

\sigma^{2}=[\sum {x^{2}\cdot P(X=x)}]-(\mu)^{2}\\\\=16.05-(3.55)^{2}\\\\=3.4475\\\\\approx 3.45

The variance is, 3.45.

Compute the standard deviation as follows:

\sigma=\sqrt{\sigma^{2}}\\\\=\sqrt{3.45}\\\\=1.85742\\\\\approx 1.86

The standard deviation is, 1.86.

(c)

Compute the probability that the next party will be over 4 people as follows:

P(X>4)=P(X=5)+P(X=6)+P(X=7)+P(X=8)\\\\=0.10+0.05+0.05+0.05\\\\=0.25

Thus, the probability that the next party will be over 4 people is 0.25.

(d)

Compute the probability that the next three parties will each be over 4 people as follows:

It is provided that the three parties are independent.

P (Next 3 parties will be each over 4) = [P (X > 4)]³

                                                           =(0.25)^{3}\\=0.015625\\\approx 0.016

Thus, the probability that the next three parties will each be over 4 people is 0.016.

3 0
3 years ago
T-shirts and sweatshirts were sold at a local shop. One salesperson sold three T-shirts and seven sweatshirts for a total amount
natulia [17]

Answer:

B. - Three T-Shirts and Seven Sweatshirts: $37.5 + $203 =<u>240.50 </u>

   - Six T-Shirts and Five Sweatshirts: $75 + $145 = <u>$220</u>

Step-by-step explanation:

A. - Three T-Shirts and Seven Sweatshirts: $27 + $213.50 = <u>$240.50</u>

   - Six T-Shirts and Five Sweatshirts: $54 + $152.5 = <u>$206.5</u>

B. - Three T-Shirts and Seven Sweatshirts: $37.5 + $203 =<u>240.50 </u>

   - Six T-Shirts and Five Sweatshirts: $75 + $145 = <u>$220</u>

C. - Three T-Shirts and Seven Sweatshirts: $35.01 + $210 = <u>$245.01</u>

   - Six T-Shirts and Five Sweatshirts: $70.02 + $150 = <u>$220.02</u>

<u></u>

<u>Mark as Branliest Please! :)</u>

7 0
1 year ago
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