An object is thrown straight up from the top of a building 150 feet tall with an initial velocity of 12 feet per second. The height of the object as a function of time can be modeled by the function y = –16x2 +12x + 150, where y is the height of the object (in feet) and x is the time in seconds after it is thrown.

Answers

Answer 1

Answer:

will this work or help ?

Step-by-step explanation:

The given equation governs the height versus time of the object. h(0) = 64, so the ground is considered at h = 0. The question is at what time is h = 0? So, set h = 0 and solve for t.

-16t^2 + 48t + 64 = 0

We can divide both sides of this equation by -16 for simpler numbers. We get

t^2 - 3t - 4 = 0

We can factor this equation:

(t - 4)(t + 1) = 0

So, t = 4 and t = -1 are solutions.

But, time must be positive, so t = -1 makes no sense, so we discard it. This leaves

 

t = 4 sec.


Related Questions

help(I need this to pass 6th)

Answers

Answer:

It is going to be the first one

6. Which of the following statements below is correct?
A. Circumference is the result of adding diameter by pi.
B. Circumference is the result of dividing diameter by pi.
C. Circumference is the result of subtracting diameter by pi.
D. Circumference is the result of multiplying the diameter by pi.​

Answers

d

.........................

Please help me answer/figure this out please. No links

Answers

Answer c 12xy^2
Process
=12x^2y^3 + 24xy^2
=12xy^2(xy+2)
So common factors is 12xy^2

What is the measure of BPC?

Answers

Answer:

[tex]\angle BPC=100^{\circ}[/tex]

Step-by-step explanation:

Assuming P is the center of the circle:

The angle BPC encompasses arc BC. Notice angle CEB also encompasses this arc and the measure of angle CEB is given as [tex]50^{\circ}[/tex]. The measure of an angle with a point on the circle that encompasses an arc is equal to half of the measure of an angle with a point on the center of circle. Therefore, the measure of arc BPC is equal to [tex]2\cdot50^{\circ}=\boxed{100^{\circ}}[/tex]

I am a 3-digit number divisible by 7, but not 2. The sum of my digits is 4. Hint it is not 121

Answers

Answer:

301

Step-by-step explanation:

3 + 0 + 1 = 4

301 / 7 = 43

301 / 2 = 105.5

Answer:

301

Step-by-step explanation:

301 divided by 7 = 43

301 is not divisible by 2

3 + 1 + 0 = 4

Hope this helps :)

A website offers a coupon such that each customer has a 15\%15%15, percent chance of getting the coupon each day they visit the site. Aya visits the website for 666 consecutive days.
What is the probability that Aya will be offered a coupon on at least one of the days she visits the website?
Round your answer to the nearest hundredth.

Answers

Answer:

0.62 im 99% sure

Step-by-step explanation:

Answer:

0.62

Step-by-step explanation:

What is the value of x in the circle to the right?

Answers

9514 1404 393

Answer:

  10 1/16 cm

Step-by-step explanation:

The Pythagorean theorem can be used.

  (8 +x)² = x² +15²

  64 +16x +x² = x² +225

  16x = 161

  x = 161/16 = 10 1/16 = 10.0625 . . . cm

Plz help me thanks

Complete the square to make a perfect square trinomial. Then, write a result as a binomial squared. m^2-13m

m^2-13+ ? =( ? )^2

Answers

Answer:

Trinomial

[tex]m^2 - 13m + \frac{169}{4}[/tex]

Binomial squared

[tex](m - \frac{13}{2})^2[/tex]

Step-by-step explanation:

Given

[tex]m^2-13m[/tex]

Required

Make a perfect trinomial

We have:

[tex]m^2-13m =[/tex]

-----------------------------------------------

Take the coefficient of m i.e. -13

Divide by 2 i.e. -13/2

Square i.e. (-13/2)

Add to both sides of the equation

-----------------------------------------------

[tex]m^2-13m =[/tex] becomes

[tex]m^2 - 13m + (\frac{-13}{2})^2 = (\frac{-13}{2})^2[/tex]

[tex]m^2 - 13m + \frac{169}{4} = \frac{169}{4}[/tex]

Expand

[tex]m^2 - \frac{13}{2}m- \frac{13}{2}m + \frac{169}{4} = \frac{169}{4}[/tex]

Factorize:

[tex]m(m - \frac{13}{2})- \frac{13}{2}(m - \frac{13}{2}) = \frac{169}{4}[/tex]

Factor out m - 13/2

[tex](m - \frac{13}{2})(m - \frac{13}{2}) = \frac{169}{4}[/tex]

Write as square

[tex](m - \frac{13}{2})^2 = \frac{169}{4}[/tex]

Hence, the trinomial is:

[tex]m^2 - 13m + \frac{169}{4}[/tex]

And the binomial squared is:

[tex](m - \frac{13}{2})^2[/tex]

What is the simplified form of the expression?

Answers

Answer:

4 sqaure root 24x^3/ 2x

Step-by-step explanation:

See steps below:)

The table represents a proportional relationship. Complete the table and write an equation that describes the relationship

Answers

Answer:

Which table?

There's non

Can you post the table.

What is 3x73 I need some help.

Answers

Answer:

219

Step-by-step explanation:

The answer to your problem is 219

Mario builds a triangular table- help!!

Answers

Answer:

Step-by-step explanation:

question 1a) hey, so it would look like this for example:

question 1b) no, because they don't follow the rules of a 30-60-90 triangle (like the one shown below)

tell me if u have any questions

Please someone please helps me with this question pls

Answers

I think it is y = -4x + 3

Part 1 l: Jose and Tamika are married with three children . If they decided to combine their income taxes and complete one tax form , what is their filing status ? . Part 2: Jose makes $54,923 and Tamika has an earned income of $49,500 for the year. Using your answer from part 1 how much will they owe in taxes?

Answers

Answer:

that is you ni report kits

7x+8y= 8

Slope

Y intercept

Answers

Answer:

Slope = -7/8

Y-intercept = (0, 1)

Step-by-step explanation:

Answer:

[tex]slope = - \frac{7}{8} [/tex]

y- intercept= 1

Step-by-step explanation:

Rearrange the equation such that it is in the form of y=mx+c. This form is known as the slope-intercept form, and m is the gradient while c is the y-intercept.

7x +8y= 8

8y= -7x +8

Divide by 8 on both sides:

[tex]y = - \frac{7}{8} x + 1[/tex]

Thus, the slope is [tex] - \frac{7}{8} [/tex] and the y-intercept is 1.

Another way to find the y-intercept is to substitute x= 0 into the equation since the y-intercept occurs at x= 0.

7x +8y= 8

When x= 0,

7(0) +8y= 8

8y= 8

y= 8 ÷8

y= 1

Thus, the y-intercept occurs at y= 1 or the coordinate (0, 1).

Note: slope and gradient have the same meaning and can be used interchangeably

PLEASE ANSWER ASAPP!!!

For what value of y must LMNP be a​ parallelogram?

Answers

Answer:

113° = y

Step-by-step explanation:

y = 180 - 67

y = 113°

Hope this helps!

the answer is 113°

the angles are supplementary

A regular hexagon has a perimeter of 127 m. Find its area to the nearest tenth.

Answers

Answer:

1164.01

Step-by-step explanation:

First you realize there is 6 sides on a hexagon. Then, you divide the 127 by 6. Then you split the hexagons into 6 parts. This leads you to a triangle. Then if you divide the degrees so 360 total degrees/6 parts = 60. If you split that triangle in half, the angle becomes 30 degrees. Then you will realize the 30 degree is pointed at the 127/12. Because you know the x, (x)(Square root 3), 2x theorem (the 30, 60, 90 triangle), you get the height of the triangle which is about 18.33 . Then you do the area of Triangle = 1/2 * base * height. Therefore you should get 194.00 Because there is 6 parts to a hexagon, you then need to multiply by 6. Your final answer should be 1164.01. This should be correct, please correct me if I’m wrong, thanks.

10.
AABC is dilated by a scale factor of with the origin as the center
of dilation. Given A(-6, 4), B(0, -4), and C(2, -8), what would be
the x-coordinate of A'?
Record your answer and bubble the grid.
Plez help

Answers

I’m thinking d

Step by step
The answer should be D

can you please explain how i can work through these problems?

Answers

Did you add a photo? I cant see one

Which describes the relationship between EG and DF 2 Select all that apply.
ty
F
E
21
ס
o
2
4
A
perpendicular
B bisect each other
C. parallel
D. congruent

Answers

Answer:

A  perpendicular

B bisect each other  

D. congruent

Step-by-step explanation:

Given

Attached quadrilateral

Required

Relationship between EG and DF

First, we have that: DEFG is a square

EG and DF are diagonals

Using the property of diagonals of a square, we have:

EG and DF to be perpendicular

EG and DF to be congruent

EG and DF to be bisect each other

Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 0.8. If they have three children, what is the probability that exactly two of their three children will have that trait? Round your answer to the nearest thousandth

Answers

Answer:

0.384 = 38.4% probability that exactly two of their three children will have that trait.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they have the trait, or they do not. The probability of a child having the trait is independent of any other child. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 0.8.

This means that [tex]p = 0.8[/tex]

Three children:

This means that [tex]n = 3[/tex]

What is the probability that exactly two of their three children will have that trait?

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{3,2}.(0.8)^{2}.(0.2)^{1} = 0.384[/tex]

0.384 = 38.4% probability that exactly two of their three children will have that trait.

Convert the time. Enter your answer in the box.

4 minutes 53 seconds =
seconds

Answers

Answer:

293 seconds

Step-by-step explanation:

60*4=240

240+53=293

Mr. Moore planted a tree in his backyard. His tree grew 3 1/3 feet over five years. if his tree grew at the same rate each year, how much did the tree grow per year.

A. 1/5 foot

B. 1/3 foot

C. 3/5 foot

D. 2/3 foot

Answers

Answer:

D. 2/3 per year.

Step-by-step explanation:

3 1

3

÷ 5

=  

10

3

÷ 5

=  

10

3

×  

1

5

=  

10 × 1

3 × 5

=  

10

15

=  

10 ÷ 5

15 ÷ 5

=  

2

3

Pleaseeee helpppp meee

Answers

Answer:

try searching it

Step-by-step explanation:

Answer: 14:16 describes Rita’s class in terms of number of girls to number of boys.

14:30 describes her class in terms of number of girls to total number of students

VERY URGENT PLEASE HELP!!!!

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $59,904. The variable costs will be $9.25 per book. The publisher will sell the finished product to bookstores at a price of $22.25 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Answers

Answer:

4608

Step-by-step explanation:

A system of equations is shown on the graph below.

On a coordinate plane, 2 lines intersect at (negative 1, 2).

How many solutions does this system have?

no solutions
one unique solution
two solutions
an infinite number of solutions

Answers

Answer:

one unique solution

Step-by-step explanation:

one unique solution => (-1, 2)

Answer:

B

Step-by-step explanation:

Using the picture above Find the measure of arc EF

Answers

Given:

Measure of arc CG is 125 degrees.

The measure of angle CDG is 85 degrees.

To find:

The measure of arc EF.

Solution:

Intersecting chords theorem: If two chords intersect each other inside the circle, then the measure of angle on the intersection is half of the sum of intercepted arcs.

Using the intersecting chords theorem, we get

[tex]m\angle CDG=\dfrac{1}{2}(m(arcCG)+m(arcEF))[/tex]

Let x degrees be the measure of arc EF.

Substituting the given values, we get

[tex]85^\circ=\dfrac{1}{2}(125^\circ+x)[/tex]

[tex]2\times 85^\circ=125^\circ+x[/tex]

[tex]170^\circ -125^\circ=x[/tex]

[tex]45^\circ=x[/tex]

Therefore, the measure of arc EF is [tex]45^\circ[/tex].

URGENt! PLS HELP. DONT USE LINKS OR JOKE. SEND REAL ANSWER. ITS VOLUME.

Answers

Answer:

334

Step-by-step explanation:

In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=26°, and QO = 4.9 feet. Find the length of PQ to the nearest tenth of a foot.


The length of PQ is ____ ft.

Answers

Given:

In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.

To find:

The measure of side PQ.

Solution:

In ΔOPQ,

[tex]m\angle O+m\angle P+m\angle Q=180^\circ[/tex]        [Angle sum property]

[tex]26^\circ+m\angle P+90^\circ=180^\circ[/tex]

[tex]m\angle P+116^\circ=180^\circ[/tex]

[tex]m\angle P=180^\circ -116^\circ[/tex]

[tex]m\angle P=64^\circ[/tex]

According to Law of Sines, we get

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

Using the Law of Sines, we get

[tex]\dfrac{p}{\sin P}=\dfrac{o}{\sin O}[/tex]

[tex]\dfrac{QO}{\sin P}=\dfrac{PQ}{\sin O}[/tex]

Substituting the given values, we get

[tex]\dfrac{4.9}{\sin (64^\circ)}=\dfrac{PQ}{\sin (26^\circ)}[/tex]

[tex]\dfrac{4.9}{0.89879}=\dfrac{PQ}{0.43837}[/tex]

[tex]\dfrac{4.9}{0.89879}\times 0.43837=PQ[/tex]

[tex]2.38989=PQ[/tex]

Approximate the value to the nearest tenth of a foot.

[tex]PQ\approx 2.4[/tex]

Therefore, the length of PQ is 2.4 ft.

Six chicken nuggets have 204 calories. How many calories are in 9 chicken nuggets

Answers

Answer:

306 calories

Step-by-step explanation:

By looking at the problem, we can conclude the number of chicken nuggets and the calories are directly related, when the amount of chicken nuggets go up, the calories also go up, proportionally. Because of this, we can set up an equation:

6 / 204 = 9 / x

Where x is the amount of calories in 9 chicken nuggets.

Now, we can simplify by cross multiplying:

6x = 1836

x = 306 calories

Answer:

306 calories

Step-by-step explanation:

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