A trebuchet launches a pumpkin on a parabolic arc from a height of 47 ft at a velocity of 40 ft/s which gives the

following function equation h(t)= -16t^2 + 40t + 47. State the vocabulary term that is being described by the

following questions. Do not solve for any of the key features. questions a b c and d

a. When will the pumpkin reach the ground?

The pumpkin will reach the ground at

b. What is the maximum height the pumpkin reaches?

C. When does the pumpkin reach its maximum height?

d. What is the starting height of the pumpkin?

**Answer:**

a) 3.37 seconds

b) 75.85 feet

c) 1.25 seconds

d) 47 feet

**Step-by-step explanation:**

a) I could use kinematic equations here, but I'll use the one provided. Height as a function of time equals 0 when the pumpkin reaches the ground, so 0=(-16t^2)+40t+47 is your equation here. Solve for t. t=3.37

b) If you have a graphing calculator, just use maximum feature. If not, use the formula x=-b/2a. x=-40/-32, x=1.25.

Now, plug 1.25 in as t, and you'll get y=75.85ft

c) alreaady found in previous part

d) this is the constant in the formula, or the y-intercept, which is 47 (because there's no variable attached).

what ratio is equivalent to 9/8

**Answer:**

3:4

**Step-by-step explanation:**

divide into simplest form would be 3:4

**Answer:**

:)

**Step-by-step explanation:**

9 :8 18 :16 27: 24 36:32 45:40 54:48 63:56 72:64 81:72 90:80 99:88

Round: 3052.08

To the nearest hundredth

**Answer:**

3052.08

**Step-by-step explanation:**

since there is nothing next to the hundredths place its 3052.08, unless your taking about the hundreds place then it would be 3100.00.

I NEED HELP ON THIS ONE TOO SAME THING ILL GIVE BRAINLIEST

Cassidy plans to paint the four walls of her bedroom. Each wall measures 12 feet by 10 feet. The window measures 2.5 feet by 4 feet. The door measures 3 feet by 7 feet. How many square feet will Cassidy paint if she does not paint the window and door? Sketch the figure below and show are calculations.

**Answer:**

449 sq ft

**Step-by-step explanation:**

a rectangular swimming pool is 15 feet long and x feet wide. What is the perimeter when x=12 feet

**Answer: 54 square feet**

**Step-by-step explanation:**

To find perimeter of a rectangle we must use the formula** l+l+w+w=p** where l and w represent width and length

Since we know length and width is x=12 just substitute so

15+15+12+12=54 so **54** is the perimeter

Curved surface of a cone of slant height 20 cm and base radius 14 cm is ____. * 1 point 280 sq.cm 2080 sq.cm 1496 sq.cm 880 sq.cm

Answer:

880 cm²

Step-by-step explanation:

Given that :

Curved surface area of a cone : πrl

r = base Radius = 14 cm

l = slant height = 20 cm

Hence,

Curved surface area = π * 14 * 20

Curvwd surface are = π * 14 * 20

Curved surface area = 879.64594 cm²

Curved surface area = 880 cm²

answer to 9+5u+6u+1 ??

**Answer****:**** **

**.****10**** ****+**** ****11u**** **** ****or**** ****11u**** ****+**** ****10**

**Step-by-step explanation:**

combine like terms:

. 5u + 6u = 11u

. 9 + 1 = 10

**Answer:**

10+11u

**Step-by-step explanation:**

9+5u+6u+1

1. add the numbers that are the same. 9+1= 10

2.do the same thing to the other number(s) 5u+6u= 11u

3. add both you're answers together 10+11u

A square has an area of 36 m2. The square is scaled in such a way that its area is increased by 28 m2. What is the approximate factor by which the length of the side of the square is increased?

**Answer:**

The length has increased by a factor of 4/3 or 1 1/3

**Step-by-step explanation:**

To find the initial length.: root 36.

Root 36 = 6

Then to find the increased version, first find the area: 36 + 28 = 64

Now, the length.

Root 64 = 8

To find the factor it increased by:

6x = 8

x = 8/6 = 4/3

The length has increased by a factor of 4/3 or 1 1/3

A survey asked 12 students how many portable electronic devices they have in

their homes. The results are shown in the line plot below.

Based on the data in the line plot, calculate the following.

SHOW YOUR WORK! Each question is worth 2 points.

a) Mean (Round your answer to the nearest tenth.)

b) Median

c) Mode

d) Range

e) What percentage of the students have more than 3 portable electronic

devices in their home? Give your answer as a fraction, decimal, and percent.

**Answer:**

should be either b or c

**Step-by-step explanation:**

**Answer:**

Mean: 4.6666666

Mode: 5.5

Range: 6

75%

**Step-by-step explanation:**

Here are the first five terms of an arithmetic sequence

5 8 11 14 17

Find an expression for the nth term of this sequence:

A: 3n+2

B: 5n+3

C: add 3 each times

D: 3n

3n+2

the difference between each term is 3 meaning it’s 3n. if you then take away 3 from the first term you are left with 2. this means the nth term is 3n+2

the difference between each term is 3 meaning it’s 3n. if you then take away 3 from the first term you are left with 2. this means the nth term is 3n+2

94.76 is 23% of what number?

**Answer:**

412

**Step-by-step explanation:**

i need more letters snsnsnsnsjjs

I have to apparently type 20 things just to say it’s “412”

Which is equivalent to 16^3/4

**Answer:**

1024

**Step-by-step explanation:**

What is the triangle congruence postulate

**Answer:**

7.09 meters allpppppppp

How many right angles need to be put together to make:

a.) 360 degrees?

b.) 180 degrees?

C.) 270 degrees?

d.) A straight angle?

**Answer:**

A 180° angle is called a straight angle. Angles such as 270 degrees which are more than 180 but less than 360 degrees are called reflex angles. A 360° angle is called a complete angle.

**Answer:**

A. 4

B. 2

C. 3

D. 2

**Step-by-step explanation:**

Multiplication!!! Always remember that a right angle is 90 degrees, also a straight angle is 180 degrees..

Remember like this:

90 x 1 =90

90 x 2 =180

90 x 3 = 270

90 x 4 = 360

Fill in the blank

When you multiply exponents with the same base, you _______ the base, and ________ the exponents

**Answer:**

multiply the base and add the exponents

20 Is 80 percent of what number?

A 21

В 22

С 24

D 25

**Answer:**

D. 25

25 percent * 80 =

(25:100)* 80 =

(25* 80):100 =

2000:100 = 20

Simplify the expression to a+bi form:

(-6-10i)(2-3i)

**Answer:**

-42-2i

**Step-by-step explanation:**

So the answer is -42-2i

Find tan(B) in the triangle

**Answer:**

Answer is B

**Step-by-step explanation:**

SohCah**Toa **

[tex]tan = \frac{o}{a} [/tex]

Hypotenuse : Opposite the right angle. : 13

Opposite : Opposite the B angle : 5

Adjacent : The only side left : 12

we need opposite and adjacent, hypotenuse is irrelevant in this question.

Substitute the numbers

[tex]tan( \frac{5}{12} )[/tex]

A square fits exactly inside a circle with each of its vertices being on the circumference of the circle

Draw or sketch out any problems like this, otherwise they appear abstract.

A circle’s area can be calculated by (pi d^2)/4 We have an area of 56 cm (^2?), so

pi d^2 = 56 x 4 (or 224) d^2 = 224/pi, d = √(224/pi)

A circle circumscribed around a square has a diameter equivalent to the length of the square’s diagonal, so the square’s diagonal is √(224/pi) (same as the circle diameter…)

A square’s side can be calculated, knowing its diagonal length, by use of Pythagoras’ theorem… The diagonal √(224/pi) is squared, divided by two, since the square’s sides are all equal, and the resulting number’s square root is calculated.

Squaring √(224/pi), we get 224/pi, and dividing by two, we get 112/pi, which is 35.6507 (cm^2), and the square root is 5.9708 cm, the side of the square.

I cannot emphasize enough that a drawing or sketch is an invaluable tool for these tasks, it saves having to retain a “picture” in your head. Note that a calculator was not required up until the last moment, dividing 112 by pi, and finding the square root of that answer. Picking up the calculator too early obliges you to transcribe numbers from the calculator to paper, and that can lead to issues. Try to enjoy maths, see it as a challenge not a chore. (and use correct units!)

2.3K views

Related Questions (More Answers Below)

A circle’s area can be calculated by (pi d^2)/4 We have an area of 56 cm (^2?), so

pi d^2 = 56 x 4 (or 224) d^2 = 224/pi, d = √(224/pi)

A circle circumscribed around a square has a diameter equivalent to the length of the square’s diagonal, so the square’s diagonal is √(224/pi) (same as the circle diameter…)

A square’s side can be calculated, knowing its diagonal length, by use of Pythagoras’ theorem… The diagonal √(224/pi) is squared, divided by two, since the square’s sides are all equal, and the resulting number’s square root is calculated.

Squaring √(224/pi), we get 224/pi, and dividing by two, we get 112/pi, which is 35.6507 (cm^2), and the square root is 5.9708 cm, the side of the square.

I cannot emphasize enough that a drawing or sketch is an invaluable tool for these tasks, it saves having to retain a “picture” in your head. Note that a calculator was not required up until the last moment, dividing 112 by pi, and finding the square root of that answer. Picking up the calculator too early obliges you to transcribe numbers from the calculator to paper, and that can lead to issues. Try to enjoy maths, see it as a challenge not a chore. (and use correct units!)

2.3K views

Related Questions (More Answers Below)

Who understands how to do this mess?

**Answer: 140**

**Step-by-step explanation:**

Angle 4 and A are supplementary meaning they add to 180

Thus you can do 180-40 = 140 to get that angle A = 140.

Since the two lines are parallel, Angle A is congruent to Angle D. Then, since Angle D is opposite Angle 3, we know that that Angle 3 and Angle D are congruent.

help pls! ill mark best answer brainliest

D is equal to 19 :)))

9(w + 6) simplified. please help!

**Answer:**

9w+54

**Step-by-step explanation:**

9(w + 6

distribute

9w+54

x

For f(x)=0.01(2) , find the average rate of change from x=3 to x=8.

Answer:

Option b. 0.496

Step-by-step explanation:we know that

f(x)=0.01(2^{x})

The average rate of change is equal to

\frac{f(b)-f(a)}{b-a}

where

a=3

b=8

f(a)=f(3)=0.01(2^{3})=0.08

f(b)=f(8)=0.01(2^{8})=2.56

Substitute

\frac{2.56-0.08}{8-3}

\frac{2.48}{5}

0.496

Use the translation (x, y) = (x + 5, y - 9) for questions a-e.

a. What is the image of A (-6, 3)?

b. What is the image of (4,8)?

c. What is the image of (5.-3)?

d. What is the image of A from #1, which would be called A"?

e. What is the pre-image of D' (12. 7)? (x - 5, y + 9)

Help please!!

Answer: it’s a I have the same question but I have to solve and they already gave me the answer

Step-by-step explanation:

can someone help me solve this?

**Answer:**

Try B

**Step-by-step explanation:**

That's what I would choose. Sorry if it's wrong.

The school band is having a car wash to raise money. There goal is to collect $150. So far they have earned $10 each from three families and $5 each from 15 families.How much more money do they have to earn to reach their goal?

they’ve already earned $105 so they need $45 more to reach their goal

Which number is irrational?

**Answer:**

Irrational numbers are numbers that cannot be expressed as the ratio of two whole numbers. This is opposed to rational numbers, like 2, 7, one-fifth and -13/9, which can be, and are, expressed as the ratio of two whole numbers.

Select the two

pairs of figures that are similar.

**Answer:**

the first 2 pairs are equal in shape and proportion.

an isosceles triangle has at least__congruent sides

**Answer:**

two

**Step-by-step explanation:**

an isosceles triangle has at least **two**** **congruent sides

SOMEONE PLS HELP!!! ITS DUE !!!

**Answer:**

d we cannot compare it volume to bh cubic inches

Can someone please help me answer this??

In other words, **y-2 goes in the first box **and **5 goes in the second box.**

=================================================

Work Shown:

y^2 - 4y - x + 9 = 0

y^2 - 4y + 9 = x

x = y^2 - 4y + 9

x = y^2 - 4y + 4 + 5 .... rewrite 9 as 4+5

x = (y^2-4y+4) + 5

x = (**y-2**)^2 + **5 **.... apply the perfect square factoring rule

So we'll have **y-2 go in the first box** and **5 goes in the second box**

note: One version of the perfect square factoring rule says (a-b)^2 = a^2-2ab+b^2.

the top answer is correct might just want to tell you that

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