1. A model rocket is launched from the roof of a building. Its flight path through the
air is modeled byn = -312 + 120 + 36, where h is the height of the rocket above the
ground in meters and tis the time after the launch in seconds.
a) What is the height of the building?
b) How long does it take for the rocket to hit the ground?
c) At what time does the rocket reach maximum height? What is the maximum
height?
d) For how long does the rocket have a height of 45m or greater?

Answer:

lynns is correct

Step-by-step explanation:

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Answer: 34.2 pounds

Step-by-step explanation:

First, convert 15 4/5 into an improper fraction. You should get 79/5. Then, convert 50 into a fraction that has a denominator of 5. Right now, 50= 50/1 so just multiply the top and bottom by 5 to make it 250/5. Then, subtract 79/5 from 250/5. You should get 171/5. Lastly, simplify. You should get 34.2 pounds as your final answer. Hope this helps!

Answer:

The answer is 12 times 23

Answer:

12.5h cm²

Step-by-step explanation:

Area of trapezoid

=h×(12+13)/2 cm²

=h×25/2 cm²

=12.5h cm² ( in algebraic way)

Q1. p=a-i

Q2. l= 1/2p-w

Q3. t=d/s

I think that these are correct

Answer:

I believe the answer would be D, $24.86

Answer:

2

Step-by-step explanation:

The equation is equal to 6-3x=8x-16. This gives 11x=22. x=2

Answer:

$13.50 typical tip

Step-by-step explanation:

So to find the percentage

multiply 0.15*90

You’ll get 13.5

Answer:

13.50

Step-by-step explanation:

Find 15% of 90 dollars

90 * 15%

Change to decimal form

90 * .15

13.50

Given:

Dividend = [tex]2x^3-5x^2+x+2[/tex]

Divisor = [tex]x-2[/tex]

To find:

The quotient and remainder.

Solution:

We have,

Dividend = [tex]2x^3-5x^2+x+2[/tex]

Divisor = [tex]x-2[/tex]

Divide [tex]2x^3-5x^2+x+2[/tex] by [tex]x-2[/tex] as shown in the below picture.

Dividing [tex]2x^3-5x^2+x+2[/tex] by [tex]x-2[/tex], we get

[tex]Quotient=2x^2-x-1[/tex]

[tex]Remainder=0[/tex]

Therefore, [tex]Quotient=2x^2-x-1[/tex] and [tex]Remainder=0[/tex].

Answer: Your answer is D becasue when you add -3.5 - (-8.2) you get 4.7, and its the same as -3.5 + (+8.2). I hope that kinda explaines it.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

you divide 7852 by 6 to get 1308.6666666 (etc.)

then you multiply 1308 by 6 (so you take away the .6666) to get 7848

your answer is 4

Answer:

The measures are 22 and 68 degrees

Step-by-step explanation:

for a right triangle, the total angle measure gives 90

Let one of the acute angle be x and the other be y

The measure of one of the acute angle is 4 times the the difference of the measure of the other angle and 5

x = 4(y-5)

Also x + y = 90

Put i into ii

4(y-5) + y = 90

4y-20 + y = 90

5y-20 = 90

5y = 90 + 20

5y = 110

y = 110/5

y = 22

But;

x = 4(y-5)

x = 4(22-5)

x = 4(17)

x = 68

The sum of the acute angles in a right-angled triangle is 90.

The acute angles are 22 and 68 degrees

Let the acute angles be x and y, such that:

[tex]\mathbf{y = 4(x - 5)}[/tex]

So, we have:

[tex]\mathbf{x + y = 90}[/tex]

Substitute 4(x - 5) for y

[tex]\mathbf{x + 4(x - 5) = 90}[/tex]

Open brackets

[tex]\mathbf{x + 4x - 20 = 90}[/tex]

Add x and 4x

[tex]\mathbf{5x - 20 = 90}[/tex]

Add 20 to both sides

[tex]\mathbf{5x = 110}[/tex]

Divide both sides by 5

[tex]\mathbf{x = 22}[/tex]

Recall that:

[tex]\mathbf{y = 4(x - 5)}[/tex]

So, we have:

[tex]\mathbf{y = 4(22 - 5)}[/tex]

[tex]\mathbf{y = 68}[/tex]

Hence, the acute angles are 22 and 68 degrees

Read more about acute angles at:

https://brainly.com/question/10388714

Answer:

Step-by-step explanation:

This question is based on the angles of the triangle.Therefore, the angles of the triangle is 180 degree.

We need to determined the all the angles of triangle  in the figure.

In the triangle ABC,

All sides are equal, therefore it is equivalent triangle. Hence, all angles are also equal.

Therefore, angle A = 60 degree, angle B = 60 degree, angle C = 60 degree.

Now, find the angle N.

In triangle PAN, one of the angle is 69 degree, and the other is 90 degree.

We know that,

Sum of angles of the triangle is 180 degree.

Thus, angle N = 180-69-90

Angle N = 21 degree

From the figure, it is observe that,

Therefore, these are the all the angles of the given figure.

For finding details, prefer this link:

https://brainly.com/question/23379161

Answer:

Costul unui kilogram de nectarine = x = 6 lei

Costul kilogram de piersicilor = y = 4 lei

Step-by-step explanation:

Lăsa

Costul nectarinelor = x

Costul piersicilor = y

Prin urmare:

Dacă 4 kg de nectarine și 6 kg de piersici costă 48 de lei

4x + 6y = 48 .... Ecuația 1

3 kg de nectarine și 9 kg de piersici costă 54 de lei

3x + 9y = 54 .... Ecuația 2

Combinând ambele ecuații

4x + 6y = 48 .... Ecuația 1

3x + 9y = 54 .... Ecuația 2

Rezolvăm folosind metoda Eliminare

Înmulțiți ecuația 1 cu 3 și ecuația 2 cu 4 pentru a elimina x

12x + 18y = 144 .... Ecuația 3

12x + 36y = 216 ... Ecuația 4

Scădeți ecuația 4 din 3

-18y = -72

y = -72 / -18

y = 4 lei

Pentru a rezolva pentru x: y = 4

4x + 6y = 48 .... Ecuația 1

4x + 6 × 4 = 48.

4x + 24 = 48

4x = 48 - 24.

4x = 24

x = 24/4

x = 6 lei

Prin urmare:

Costul unui kilogram de nectarine = x = 6 lei

Costul kilogram de piersicilor = y = 4 lei

Answer:

its 3.35

Step-by-step explanation:

need thanks and make me brainiest if it helps you

Answer:

n=2

Step-by-step explanation:

1/4n + 5= 5 1/2

1/4n= 1/2

(multiply both sides by 4 to cancel out the fraction on the left side of rhe equation)

n=2

Answer:

y=50

Step-by-step explanation:

this is the answer.

Answer:

Y=50x

Step-by-step explanation:

I just took the test have a good day remember god love u

Answer:

1:4

Step-by-step explanation:

Ratios and Fractions

It's given 1/5 of the chocolates in a box contain nuts. The rest do not contain nuts. The portion that does not contain nuts is:

[tex]1 - \frac{1}{5}=\frac{4}{5}[/tex]

We need to calculate the ratio of the number of chocolates that contain nuts to the number of chocolates that do not contain nuts.

This can be done by dividing 1/5 by 4/5:

[tex]\displaystyle \frac{\frac{1}{5}}{\frac{4}{5}}[/tex]

Operating:

[tex]\displaystyle \frac{1}{5}\cdot\frac{5}{4}=\frac{1}{4}[/tex]

Expressing it as a ratio: 1:4

Answer:

A line graph would be nice

Step-by-step explanation:

It would show how the prices increase over time

***im probs too late

Answer:

C choice.

Step-by-step explanation:

[tex]5x - 2 = - x - 20 \\ [/tex]

First, we move the same terms to the same side.

[tex]5x + x = - 20 + 2 \\ 6x = - 18[/tex]

Then we move 6 to divide - 18.

[tex]x = \frac{ - 18}{6} \\ x = - 3[/tex]

Answer:

An equilateral triangle is never similar to a scalene triangle, because you can never map one onto the other using only dilations  and using rigid transformations

Step-by-step explanation:

Answer:

Step-by-step explanation:

H(t) =  -16[tex]t^{2}[/tex]+4.624  ( in feet)

0 = -16[tex]t^{2}[/tex] + 4,624

-4,624 =  -16[tex]t^{2}[/tex]

-4,624 / -16 = [tex]t^{2}[/tex]

289 = [tex]t^{2}[/tex]

17 = t

so.. 17 seconds to hit the ground..  :)

The piece of wood 17 seconds takes to hit the ground.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

A tornado drops a piece of wood from a height of 4,624 ft.

Given that the equation for the height as a function of time is

h(t) = -16t² + initial height

Substitute height = 4,624 ft. in the equation,

h(t) =  -16t² +4.624

At ground level, the value of h(t) is zero,

0 = -16t² + 4,624

16t² = 4,624

t² = 4,624/16

t² =289

t = 17

So, 17 seconds to hit the ground

Hence, the piece of wood 17 seconds takes to hit the ground.

Learn more about Arithmetic operations here:

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Answer:

A.

Step-by-step explanation:

To get to the answer, add both f(x) and g(x) together. This would be (2x^2 +3x -4) + (-4x^2 + 5x - 8). Remember that adding a negative number is the same as subtracting the positive of that number, for example, 3 + (-4) is the same as 3 - 4.

Answer:

SAS ( Side, Angle, Side)

Step-by-step explanation:

Both triangles - shown by the arcs labelled on them - have two known congruent sides, and an angle which they are both equal to.

(No units are needed as this shows already that both triangles are congruent to each other)

Hope this helps

Answer: 743.30343766 . . . ft

Round it to whatever place your teacher requires it to be at.

Step-by-step explanation: So, this question can be treated as one in which you need to find the hypotenuse. If you cut the soccer field diagonally, the length and width are still the same. The two legs of our triangle are 700 ft and 250 ft. The formula for finding the hypotenuse is a²+b²=c². Input the numbers, and it becomes 700²+250²=c². 700² is 490,000 and 250² is 62,500. 490,000 + 62,500 = 552,500. This means that 552,500 is c², and in order to find c, or the hypotenuse/diagonal, we need to find the square root of 552,500. The square root of 552,500 is 743.3034376 . . . , which you can round to whatever place you need it to be at.

Given:

Louise used 0.61 kilogram of flour each day for 3 weeks.

To find:

How many grams did Louise use in those 3 weeks?

Solution:

We know that,

1 kg = 1000 g

Flour used by Louise each day for 3 weeks = 0.61 kg

1 week = 7 days

3 week = 21 days

Flour used by Louise for 3 weeks (21 days) = (21 × 0.61) kg

                                                                        = 12.81 kg

                                                                        = (12.81 × 1000)    [ 1 kg = 1000 g]

                                                                        = 12810 g

Therefore, flour used by Louise for those 3 weeks is 12,810 grams.

Answer:

7

Step-by-step explanation:

this is an isosceles triangle so you know the two longer sides must be equal.

2x-7=7

2x=14

x=7

Answer:

The answer to this question is A) 7