Amelia launched her science fair rocket, and then backed away. The path of the rocket is given by the equation below, where y is the the height in feet amd x is the time in seconds the rocket is in the air y=-2×^2+5x+7
1)when does the rocket hit the ground?
2)what is the maximum height of the rocket?

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

In the box on the left, we have reduced the fraction 2/6 to its equivalent, 1/3.

Answer:

-5x-4

Step-by-step explanation:

You first have to combine like terms. (-6x + x) + (+3 -7) = -5x-4

Answer:

-6x^2+45x-21

Step-by-step explanation:

So use the FOIL method

First- -6x*x

Outter- -6x*-7

Inner- 3*x

last- 3*-7

Before we find the amount Mr Stubbert paid, we'll have to find the value of the coupon.

To do this, we will have to multiply the Original Price with the Rate of Discount.

A Rate of Discount is your coupon into decimal form. In this case, it would be [tex]\multiply {0.15}[/tex]

So now we will multiply.

[tex]\text{520 x 0.15 =} \underline {78}[/tex]

So [tex]78[/tex] is going to be our discount.

Now that we've found the discount, let's subtract [tex]78[/tex] from [tex]520[/tex].

[tex]\text{520 - 78 = 442}[/tex]

[tex]\fbox {So our answer is going to be \bold 442}[/tex]

[tex]\rule{300}{1.0}[/tex]

Answer:

15.5556 cubic yards

Step-by-step explanation:

A yard is equal to three feet.  Divide the volume value by 27 (3 cubed).

Answer:

Step-by-step explanation:

a. 1 & 2

b. 3 & 5

c. 2/15

d. 2/5 x 5/3

e. 10/15= 2/3

Answer:

B Trapezoid

Step-by-step explanation:

A trapezoid has 2 parallel sides the top and bottom but also the sides.

Answer:

28x+42

14(2x+3)

Step-by-step explanation:

Area of a rectangle is lenght times width

A = L * W

So

14(2x+3)

28x+42

Answer:

This can be factored to (x + 3)(x - 3)(x + 2) = 0

So x is equal to 3, -3 and -2

Step-by-step explanation:

x³ + 2x² - 9x -18 = 0

Let's try dividing by (x + 3) as that looks like it might be a factor.  We'll use long division:

                    x²  - x - 6

        x + 3  }  x³ + 2x² - 9x -18

                    x³ + 3x²

                           -x² - 9x

                           -x² - 3x

                                -6x - 18

                                -6x - 18

                                         0

Perfect!  So (x + 3) is a factor, giving us:

(x + 3)(x² - x - 6)

the remaining quadratic can be factored more easily:

(x + 3)(x² - x - 6)

= (x + 3)(x² + 2x - 3x - 6)

= (x + 3)(x[x + 2] - 3[x + 2])

= (x + 3)(x - 3)(x + 2)

Now we can solve it easily as we know that's equal to zero, so x can be equal to 3, -3, and -2

The probability that the product of the numbers spun is 12 is [tex]4\div 36[/tex]

Since The spinner shown has six equal-size sections and is spun twice.

So, here there are 6 numbers and if spines twice other 6, if these are multiplied with each other there will be a total of 36 products or probabilities.

And, On total, there are four 12

[tex]2 \times 6\\\\3 \times 4\\\\4 \times 3\\\\6 \times 2[/tex]

So, the probability is [tex]4\div 36[/tex]

learn more about probability here: https://brainly.com/question/16404410

Answer:

B is the answer

Step-by-step explanation:

I worked it out

Answer:

i can't see the solution options but i got x = -3/4 and x = -1/6

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Input value/x = 9

Step-by-step explanation:

The output value means y and the input value means x.

So they've told us the output value y = 4.5

Sub this into the function they gave us to get x

y=x/2

4.5=x/2

9=x

1)x+8=16

x= 16-8

x=8

Answer:

49:52

Step-by-step explanation:

[tex] \qquad \qquad\large\rm{Together \: We \: Go \: Far!} \\ \qquad \qquad \sf \small{\red{♡}\:Swifties\:\red{♡}}[/tex]

Question :-

Answer :-

[tex] \rule{180pt}{3pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{6 \: in}}\put(9,17.5){\sf{10 \: in}}\end{picture}[/tex]

Solution :-

As per the provided information in the given question, we have been given that the radius of the cylinder is 6 in. The height of the cylinder is 10 in. We have been asked to find or calculate the surface area of the cylinder.

To calculate the surface area of the cylinder, we will use the formula below :-

[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh \:\:}}[/tex]

Substitute the given values into the above formula and solve for surface area:

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh[/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(6 \: in)^2 + (2)(3.14)(6 \: in)(10\:in) [/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(36 \: in^2) + (2)(3.14)(60\:in^2) [/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(113.04 \: in^2) + (2)(188.4 \: in^2) [/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 226.08 \: in^2 + 376.8 \: in^2 [/tex]

[tex]\sf:\implies \bf{Surface \: Area_{(Cylinder)} = 602.88 \: in^2}[/tex]

Therefore :-

[tex]\\[/tex]

Learn more about the surface area of the cylinder at https://brainly.com/question/30914875

Have a great day! <33

Answer:

11/12

Step-by-step explanation:

Answer:

Exact form:

11/12

decimal form:

0.9616

*6 repeated

Step-by-step explanation:

Answer:

9400.11

Step-by-step explanation:

Answer:

yes no no yes in that order

Answer:

-1/3

Step-by-step explanation:

1/3 - 2/3 = -1/3

An easier way to do this is keep the denominator the same (3), and then subtract the numerator. 1 - 2 = -1, and the "-1" is the numerator, and the 3 will be the denominator. So....

-1/3

Check

-1/3 + 2/3 = 1/3 CORRECT

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

kids tickets should be $6.00

adults tickets should be $18.00

Answer:

Step-by-step explanation:

x > 36

Answer:

.

Step-by-step explanation:

.

Answer:

0.6826

Step-by-step explanation:

The high temperatures for days in January are Normally distributed with a mean of 38 degrees Fahrenheit and a standard deviation of 5 degrees . How many days in January will have temperatures between 33 degrees Fahrenheit and 43 degrees Fahrenheit ? Round your answer to two decimal places.

Solution:

The z score is a score used in statistics to determine by how many standard deviations the raw score is above or below the mean. The z score is given by the formula:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ \mu=mean,s=raw\ score \ and\ \sigma=standard\ deviation\\\\Given\ that\ \mu=38^oF,\sigma=5^oF\\\\For\ x=33^oF\\\\z=\frac{x-\mu}{\sigma}=\frac{33-38}{5}= -1\\\\For\ x=43^oF\\\\z=\frac{x-\mu}{\sigma}=\frac{43-38}{5}= 1\\\\[/tex]

From the normal distribution table, P(33 < x < 43) = P(-1 < z < 1) = P(z < 1) - P(z < -1) = 0.8413 - 0.1587 = 0.6826

Answer:

.50

Step-by-step explanation:

$3.50/7=.50

Answer:

They are proportional.

Step-by-step explanation:

The x and y values pass through the origin, (0,0). This means that the value is proportional.

Answer: segment AM is congruent to segment CM and segment BM is congruent to segment DM is for 1, the triangles one for 2 (I'm not very sure about this one), the angles one for 3 ( this one either). vertical angles are conguent for 4 and 5 is if both pairs of opposite sides are congruent, a quadrilateral is a parallelogram.

Step-by-step explanation:

Answer:

a)10

Step-by-step explanation: