A stone is thrown downward with a velocity of 88 feet
per second (60 miles per hour) from a bridge that is
135 feet above a river, as illustrated in the figure.
a
(a) Write a formula s(t) that models the height of the
stone after t seconds.
(b) Does the stone hit the water within the first 2
seconds? Explain.

Answer:

Left 3, down 3

Step-by-step explanation:

Moves to the left 3 and goes down 3

Just graph that on desmos and then use desmos as a refernece to draw your graph

Answer:

Yes, the polygons are similar.

Step-by-step explanation:

A similar polygon is a polygon that shares the same scale factor as another polygon. A scale factor is a number you can multiply each side by to get a similar figure,

Step 1:

Divide a few of the sides. You do not need to divide every side to find the ratio, but do at least 2 or 3 to guarantee that the scale factor remains the same throughout the sides. Let’s divide a few pairs of sides.

[tex]27/18=1.5[/tex]

[tex]30/20=1.5[/tex]

[tex]21/14=1.5[/tex]

Step 2:

To really be safe, even though we can clearly tell this is a similar figure, is we can multiply each side on the right figure by 1.5, our scale factor, and see if we generate the sides on the left figure.

[tex]18*1.5=27[/tex]

[tex]20*1.5=30[/tex]

[tex]14*1.5=21[/tex]

And this is why the polygons are similar :)

Answer:

7

Step-by-step explanation:

Answer:

Step-by-step explanation:

If 3x + 4 = 25, the first step for solving for x will be to subtract 4 from both sides of the equation. This gives us 3x + 4 - 4 = 25 - 4, or 3x + 0 = 21, or 3x = 21. Now take 21 (from the right side of the equation) and divide by 3 (from the left side of the equation) to come up with x = 7.

Answer:

Step-by-step explanation:

Dentist's Office = 5/6 of an hour. An hours is 60 minutes

therefore he spent 5/6 x 60 = 50 minutes at the Dentist

1/10 of those 50 minutes were spent in the waiting room that is 1/10 x 50 = 5 minutes

Therefore Sam Spent 45 minutes at the Dentist office

I think the second part of your question is missing

Answer:

The correct answer is 3/4 of an hour

explanation:

he spend 3/4 of an hour at the dentist’s office other than in the waiting room

Answer:

[tex]x^{2} +2[/tex]

Step-by-step explanation:

first you want to write [tex]15x^{2}[/tex] as a sum , so your equation would now be [tex]x^{4} +13x^{2} +2x^{2} +26[/tex] . next you want to factor out [tex]x^{2}[/tex] from the expression([tex]4x^{2} +13x^{2}[/tex]) so now your equation becomes [tex]x^{2}[/tex]×[tex](x^{2} +13)+2x^{2} +26[/tex] then on the other side you're going to also factor out 2 from the expression([tex]2x^{2} +26[/tex]) now your equation would be [tex]2x[/tex]×[tex](x^{2} +13)+2(x^{2} +13)[/tex] . now you want to factor out [tex]x^{2} +13[/tex] from the expression so now it is [tex](x^{2} +13)[/tex]×[tex](x^{2} +2)[/tex] the last thing you're going to do is reduce the fraction with [tex]x^{2} +13[/tex] so your equation now becomes [tex]x^{2} +2[/tex] which is your final answer .

Answer:(x^4)+(26/(x))+394

Step-by-step explanation:

all you had to look up is scientific calculator online with x and click on Web 2.0 scientific calculator

Answer:

x = 2.75

Step-by-step explanation:

using Pythagoreas theorem

a² + b² = c²

3² + 4² = c²

9 + 16 = 25

square root 25 = 5

therefore AB = 5

to find x

5 - AD = x

5 - 2.25 = x

x = 2.75

Answer: 210

Step-by-step explanation: Since we are trying to find what 3/5 of a number gives you 126 You would divide 126 by 3 which equals 42 then you would add 126+42+42=210

Answer:

Do the answer yourself.

Step-by-step explanation:

Feel free to ask your teacher or tutor because your parents are paying them the fees. Don't come on this app only for answers.

slope = (y2-y1)/(x2-x1)

9 = (5-w)/(-2- -3)

9 = 2-w /1

w= -7

Answer:

  2000

Step-by-step explanation:

One way to do this is to add half of a thousand, then zero all digits to the right of the thousands place.

  2371 +500 = 2871

With digits zeroed, this is ...

  2000

__

Additional comment

The traditional instruction is to look at the digit in the place to the right of the thousands place. (It is 3.) If it is 5 or more, you increase the number by 1 in the place you're rounding to. (No increase is needed.) Then you set all digits to the right of the thousands place to zero.

  2371 rounds to 2000

Answer:

A=  B=17.3

Step-by-step explanation:

First replace A with 2B-8:

2B - 8 + B = 44

Next simplify:

3B - 8 = 44

44+8=3B

52 = 3B

B = 52/3

B= 17.3

Now find A:

2B-8=

2 x 17.3 -8=

34.6 - 8=

26.6

I hope this helps :)

Answer:

Let x equal the amount of time required for the second press to complete the job on its own.

The second press then operates at a rate of 1/x of the job per hour.

The two presses work together at a rate of 1/2 of the job per hour.

And the first press operates at a rate of one-sixth of the job per hour.

As a result, our equation to solve is:

1/6+1/x=1/2 multiply each term by 6x x+6=3x subtract x from each side x-x+6=3x-x group like terms together

2x=6 multiply both sides by 2 x=3 the number of hours required for the second press to finish the job

CK

1/6+1/3=1/2

1/6+2/6=1/2\s3/6=1/2

1/2=1/2\salso\s(1/6)*2=1/3\s(1/3)*2=2/3\s2/3+1/3=1 (Only one job)

1=1

Answer:

$325

Step-by-step explanation:

Answer:

$325

Step-by-step explanation:

if the refrigerator has been marked UP by 25%, this means that $406.25 is 125% of the original price (the original price being 100%).

Therefore, divide 406.25 by 125 to find the cost per 1%, then multiply by 100 to find the original price.

(406.25 ÷ 125) x 100 = 325

Answer:

0.984251969 m-1

Step-by-step explanation:

I looked it up and this is what I got

Answer:

96 hours

Step-by-step explanation:

Because they are expecting half of the team to do the whole foundation, you can double the time to even the equation out. In other equations, you can figure it out another way but this one is very simple!

Originally:

6 people | 48 hours

Now:

3 people | x hours

x=48*2

x=96

This is just my way of solving this, there are many other ways to do this though! :)

Answer: dont know just search it up

Answer:

9

Step-by-step explanation:

You do parenthesis first so 1+2=3

Then you do division 6 divided by 2=3

Then you will multiply 3 by 3 so 9

This is known as pemdas

P=parenthesis

E=exponents

MD=multiplication and division you do it left to right so if division is in front of multiplication then you do division

As=Addition and subtraction is also left to right

Answer:

6÷2(1+2) = 9

Answer:

see image

Step-by-step explanation:

i worked this two different ways, depending on what your original question was. See image.

As it is written this question isn't very clear, and I'm not positive that the entire thing can be answered. I don't know where point R is. Is there a picture that goes with this problem? If so, maybe that would make it more clear. What I can do is show you how to solve for x. While I don't believe this is the final answer, I believe it is a step toward the right answer. We know what ray QS bisects angle PQT. If you draw out angle PQT and ray QS you can see that angle PQS is congruent to angle SQT. Because of the definition of angle bisector. This also means that angle SQT is half of PQT. Because of this we know that we can set the measure of PQT equal to 2 times the measure of SQT. So we can set up and solve the following equation as such:

2(8x-25) = 9x +34

16x - 50 = 9x +34

7x -50 = 34

7x = 84

x = 12

Again I this doesn't seem to be your final answer. To find the answer the measures of each angle you're going to want to plug 12 in for x for one of the angles. So I'll do it for angle SQT.

8(12) - 25

96 -25

71

So the measure of angle SQT should be 71. Therefore since QS bisects PQR, the measure of angle PQS should also be 71. The measure of PQT should be double that which makes it 142. I'm not positive that this is all the problem is looking for, but I think that's most of it. Hope this helps!

Answer:

40 yd^2

Step-by-step explanation:

Add the square at the bottom to make one large rectangle. Subtract the square not included from that area to get the figure shown (see attachment).

Answer:

a

Step-by-step explanation:

- a ^2×a^4 b^-2b^-2/(a^4b^3)

- a^6b^-4/(a^4b^3)

in division the powers get subtracted

so ans is A

Answer:

the answer is two

Step-by-step explanation:

Using simple interest, it is found that:

Simple interest is used when there is a single compounding per time period.

The interest after t years in is modeled by:

[tex]I(t) = Prt[/tex]

In which:

In this problem:

Then:

[tex]I_1 = 0.07P_1[/tex]

[tex]I_2 = 0.08P_2[/tex]

Considering [tex]P_1 + P_2 = 10000 \rightarrow P_2 = 10000 - P_1[/tex]:

[tex]I_2 = 0.08(10000 - P_1)[/tex]

Considering [tex]I_1 + I_2 = 780 \rightarrow I_2 = 780 - I_1[/tex]:

[tex]780 - I_1 = 0.08(10000 - P_1)[/tex]

Considering [tex]I_1 = 0.07P_1[/tex]:

[tex]780 - I_1 = 0.08(10000 - P_1)[/tex]

[tex]780 - 0.07P_1 = 0.08(10000 - P_1)[/tex]

[tex]0.01P_1 = 20[/tex]

[tex]P_1 = \frac{20}{0.01}[/tex]

[tex]P_1 = 2000[/tex]

And:

[tex]P_1 + P_2 = 10000[/tex]

[tex]2000 + P_2 = 10000[/tex]

[tex]P_2 = 8000[/tex]

Then:

You can learn more about simple interest at https://brainly.com/question/25296782

Heres The Answer. Good Luck

Answer:

48m^2

Step-by-step explanation:

Split the figure into two separate ones and add them together at the end: see image for explanation

The formula to find the distance between two points is:

d = √[(x2 − x1)² + (y2− y1)²]

distance between (3,4) and (21,4) = 18 cm

distance between (21,4) and (12,16) = 15 cm

distance between (12,16) and (3,4) = 15 cm

height = point in half of the base and the the top point so its (12,16) and (12,4) and the distance between them = 12

triangle perimeter = is the sum all sides

= 48 cm

Triangle area = 0.5 * base * height

= 0.5 * 12 * 18 = 108 cm²

Answer:

H=310

Step-by-step explanation:

This problem is a great systems of equations problem--you have two different variables: song size and number of songs.

Let's call the number of standard version downloads (S) and the high quality downloads (H).

You can make two statements:

For number of songs downloaded: S + H = 910

For download size: 2.8(S) + 4.4(H) = 3044.

S will be the same number in both equations and H will be the same number in both equations, so to find S, we can rearrange the first statement to H = 910 - S, then substitute or plug in (910 - S) wherever you see an H in the second equation so that you have only S's in your equation. Should look like this:

2.8(S) + 4.4(910 - S) = 3044

2.8S + 4004 - 4.4S = 3044

-1.6S = -960

s = 600

Your question only asks for the standard version downloads, but to help you out in future Systems situations-

You can also solve for H once you have S by plugging it into either of your equations like this:

600 + H = 910

-600

Hope this helps!

Answer:

Step-by-step explanation:

Hannah, h, is the older sibling and their ages are consecutive odd integers. This means that Anthony's age will be 2 less than Hannah's, or h-2.

The sum of these would be h+(h-2), giving us the equation h+(h-2)=92.

Combining like terms we would have the first correct choice, 2h-2=92.

Our first equation can be transformed, however, to have (h-2) by itself. To do this, we would subtract h from both sides, giving us h-2=92-h.