An object is launched into the air at 60 feet per second from a platform 80 feet high given by the equation f(t) = -16t2+60t+80.
What is the maximum height?

Answers

Answer 1

Answer:

Below

Step-by-step explanation:

For the Quadratic Equation   - 16t^2+ 60t + 80

   the max value will occur at   t = - b/2a =  -60 / (2 * -16) = 1.875 s

     use this value f t in the equation to find max height = 136.25 ft


Related Questions

On a map, 90 miles is represented by 3 inches. A measure of inch on the map would represent miles.

Answers

Complete Question

On a map, 90 miles is represented by 3 inches. A measure of 1/2 inch on the map would represent miles.

Answer:

15 miles

Step-by-step explanation:

From the above question,

3 inches = 90 miles

1/2 inch = x miles

Cross Multiply

3 inches × x miles = 90 miles × 1/2 inch

x miles = 90 miles × 1/2 inch/3 inches

x miles = 15 miles

Therefore, a measure of 1/2 inch on the map would represent 15 miles

Seven subtracted from a number is -18

Answers

Answer:

-11

Step-by-step explanation:

Just add 7 to -18

-18 + 7 = -11

Hope this helped :)

(If you want to check, just do -11 - 7)

Which of the following best describes the equation below?
y = -5x + 12
A.
nonlinear
B.
linear
C.
both linear and nonlinear
o
D.
neither linear nor nonlinear

Answers

Answer:

B. linear equation

Step-by-step explanation:

How can you tell that whether the equation is linear or nonlinear?

Using an Equation

Simplify the equation as closely as possible to the form of y = mx + b. Check to see if your equation has exponents. If it has exponents, it is nonlinear. If your equation has no exponents, it is linear.

y = -5x + 12 has no exponents that's why it is a linear equation.

Hope this helps:)

Help please! Thank youuuuuuuuu

Answers

Answer:

3 3/5 meters (B)

Step-by-step explanation:

Since this is perimeter, you must find the "outside".

The top side: 1/4 * 4 = 1

Left side: 1/5 * 4 = 4/5

Bottom: 1

Right side: 4/5

Add them up!

1 + 1 + 4/5 + 4/5

2 8/5

3 3/5

B!

Find the 11th term of the geometric sequence 10,-40,160, ...

Answers

Answer: The 11th term is 6144

Step-by-step explanation: luv ya boo thang

9 2/3 - 4 1/5. ====???

Answers

Answer:

Step-by-step explanation:

5.46666666667

Answer:

5 7/15

Step-by-step explanation:

9 2/3-4 1/5 = 9 10/15-4 3/15=5 7/15

HELP ME PLEASE!!!!ITS DUE TODAY!!

Answers

80*0.25 =20
80-20=60
60 peaches

Answer:

Step-by-step explanation:

express 4x-1= 3 as a linear equation in two variables​

Answers

Hello there!

~I hope you and your family are staying safe and healthy!

[tex]4x - 1 = 3[/tex]

We need to start by saying that y = 3

[tex]4x - 1 = y[/tex] or [tex]4x - y = 1[/tex]

Thus, the equation above is in the two variable form where y = 3

Thus, the required equation is [tex]4x - y = 1[/tex]

Let me know if you have additional questions!

~Garebear

can someone pls help me
write 3lgx + 2-lgy as a single logarithm​

Answers

Answer:

log(x^3*y^(-2))

Step-by-step explanation:

two log rules you need to know for this question:

alogb = log(a^b)

logx + logy = logxy

you can start by getting rid of the term in front of the log, or a

also is it 2 minus or 2 times negative? im assuming it's 2 times negative because it is more likely

log (x^3) + log (y^-2) = log (x^3*y^-2)

Determine a quadratic equation in standard form that has each pair of roots.
X=5±√2/3

Answers

Step-by-step explanation:

you have to add 5 and 2 which is 7 and decide by 3 or estimate

Add 5 and 2 which is 7 and then divide by 3

Write an equation in slope intercept form. m=6, b=-8

Answers

Answer:

y=6x-8

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept.

Other equipment totaled 33000. You earn a commission of 20% on every sale you make. If you put 35% of your earnings on this particular sale into a savings account what is the amount invested

Answers

9514 1404 393

Answer:

  2310

Step-by-step explanation:

Assuming "this particular sale" totals 33000 in its entirety, the commission is ...

  20% × 33000 = 6600

The amount of that going to the savings account is ...

  35% × 6600 = 2310

The amount invested is 2310.

True or False Exponential Growth occurs when the same number is added to
the consecutive output values.

Answers

Answer:

False

Step-by-step explanation:

Because you're not supposed to add to the output values, you need to multiply the output values.

I have to agree with mrshredhalen

it’s false

3a + b = 225
b = a - 15

A.) 3a + b = a -15
B.) 3a + a = 225
C.) 3a + a - 15 = 225
D.) b = 3a + b

Answers

Answer:

c

Step-by-step explanation:

A right triangle has an angle that measures 47°. What is the measurement of the third angle in the triangle?​

Answers

Answer:

43 degrees

Step-by-step explanation:

every triangle all three angles equal 180 for a right triangle you know that one angle is 90 degrees for this triangle we know that another angle is 47 so

90+47 = 137 now we can take 180 - 137 = 43

so your third angle is 43

hope I helped!!

Please help due today in 10 minutes

Answers

Answer:

I can't help it's past due date. sorry

Step-by-step explanation:

plato de Leonardo tiene 0.2 kg de arroz y el de su hermana Leticia tiene 0.3 kg si quieren que los dos tengan lo mismo y los juntan para después repartirse los en partes iguales cuánto tendrá cada plato​

Answers

Answer:

0.5 kg

Step-by-step explanation:

Someone please let me know the answer ​

Answers

Answer:

The answer is 30°

Step-by-step explanation:

[tex]when \: \: \sqrt{3} \sin( \alpha ) - \cos( \alpha ) = 0 \\ \sqrt{3} \sin( \alpha ) = \cos( \alpha ) \\ multiply \: by \: \frac{1}{ \sqrt{3} \cos( \alpha ) } \\ then \\ \frac{ \sin( \alpha ) }{ \cos( \alpha ) } = \frac{1}{ \sqrt{3} } \\ \tan( \alpha ) = \frac{1}{ \sqrt{3} } \\ then \: \alpha = 30[/tex]

Joe lost 4 kg and now weighs 60 kg. What percentage of his original weight did he lose?

Answers

Answer:

60-4 is 56

and 56 by 100

Step-by-step explanation:

The  percentage of his original weight did he lose is 56%.

Given that,

Joe lost 4 kg and now weighs 60 kg.

Calculation:

[tex]= ( 60 - 4) \div 100[/tex]

= 56%

learn more about the percentage here: https://brainly.com/question/16616666

What is the value of x?

Answers

Answer:

jhg hstu35kk4t6ek

3tnk63e6oktelrt

Step-by-step explanation:

4n5kdti3eo5

The Sugar Sweet Company is going to transport its sugar to market. It will cost $6500 to rent trucks, and it will cost an additional $250 for each ton of sugar
transported
Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S. Then use this
equation to find the total cost to transport 14 tons of sugar.

Answers

Answer:

$10000 Total cost to transport 14 tons

Step-by-step explanation:

The total cost C(S) = $6500 + ($250/ton)S.  This is a linear function with initial value $6500 and slope $250/ton.

C(14) = $6500 + ($250/ton)(14) = $10000 = Total cost to transport 14 tons

Answer:

hello! the answer is below!

Step-by-step explanation:

Let's write the equation.

6500 + 250s = c

Now put in our value for s.

6500 + 250 · 19 = 4750

The answers are

6500 + 250s = c

And

4750

Hope this helps! :)

Paul will pay for his new car in 36 monthly payments. If his car loan is for $20,538 then how much will Paul pay each month?

Answers

Answer:

570.50

Step-by-step explanation:

I think it's the correct answer maybe it is maybe it's not

Paul has acquired a car loan of amount $20,538 and is paying off the loan amount in 36 months.  

This means that Paul will be paying $570.50 every month till the completion of 36 months.

The given parameters for the calculation of the monthly installment:

Loan amount= $20,538 Total months to repay the loan= 36 months

Calculation of the monthly amount of Paul's loan:

[tex]\begin{aligned}\text{Monthly installment of loan}= \frac{\text{Total Amount of Loan Acquires}}{ \text{Total Time taken to Repay off the Loan}} \end{aligned}.[/tex]

[tex]\begin{aligned}\text{Monthly Installment of Loan}= \frac{\$20,538}{36}\end{aligned}[/tex]

[tex]\begin{aligned}\text{Monthly Installment of Loan}=\$570.50\end{aligned}[/tex]

Therefore, the monthly installment of paul will be $57.50.

To know more about the calculation of installment, refer to the link below:

https://brainly.com/question/84351

I need the answer, ASAP.

Answers

Answer:

See below.

Step-by-step explanation:

It is similar because the order of operations is the same for fractions and for whole numbers.

It is different because when you add or subtract fractions, you need a common denominator. When you deal with whole numbers, there are no denominators.

What is the area of this?

Answers

Answer:

Step-by-step explanation:

[tex]A=\frac{hb}{2}\\ \\ A=\frac{14(20)}{2}\\ \\ A=140ft^2[/tex]

Answer:

150 ft

Step-by-step explanation:

You use Pythagoras theorem to work out the base of the triangle.

<3

Having trouble solving this:

Answers

The answer will be - 2/5

Answer:

1/250

Step-by-step explanation:

0.4% in fraction form is 0.004

or 4/1000

4/1000 reduced to it's simplest form is 1/250 (divide numerator and denominator by 4)

In a survey conducted on 200 people, it was found that 105 of them prefer coffee, 50 prefer
tea and the remaining prefer both. Find the fraction of people who prefer both tea and coffee.

Answers

Given:

Total number of people = 200

People who prefer coffee = 105

People who prefer tea = 50

The remaining prefer both.

To find:

The fraction of people who prefer both tea and coffee.

Solution:

The number of remaining people who prefer both tea and coffee is

Remaining people = Total number of people - People who prefer coffee - People who prefer tea

Remaining people = 200 - 105 - 50

                               = 45

Now, the fraction of people who prefer both tea and coffee is

[tex]\text{Required fraction}=\dfrac{\text{Remaining people}}{\text{Total number of people}}[/tex]

[tex]\text{Required fraction}=\dfrac{45}{200}[/tex]

[tex]\text{Required fraction}=\dfrac{9}{40}[/tex]

Therefore, [tex]\dfrac{9}{40}[/tex] of people prefer both tea and coffee.

Northern Bank has two types of account. Both accounts pay compound interest. Cash savings account Interest 2.5% per annum Shares account Interest 3.5% per annum Ali invests £2000 in the cash savings account. Ben invests £1600 in the shares account. (a) Work out who will get the most interest by the end of 3 years. You must show all your working.

Answers

Answer: Ben will have the most interest.

Step-by-step explanation:

Ali after 3 years.

To use compound interest, the formula is:

= Investment * ( 1 + rate) ^ no. of periods

= 2,000 * ( 1 + 2.5%)³

= £‭2,153.78

Interest = Amount after 3 years - investment

= 2,153.78 - 2,000

= £153.78

Ben after 3 years.

= 1,600 * (1 + 3.5%)³

= £1,773.95

Interest = 1,773.93 - 1,600

= £173.93

How far is the star away from
the earth in AU?

Answers

its about 27k AU away

Answer:

6623 AU

Step-by-step explanation:

I assume the angle measure 0.000302 is in radians.

Draw a segment from the Sun to the Star.

Use the upper small triangle.

The angle at the Star measures 0.000151 radians.

The opposite leg measures 1 AU.

We need the hypotenuse which is the distance from the Star to Earth.

sin A = opp/hyp

sin 0.000151 rad = 1/x

x sin 0.000151 rad = 1

x = 1/(sin 0.000151 rad)

x = 6623

Answer: 6623 AU

Two hundred fifteen people have been invited to a reception. The men get a gift of candy that cost $ 6.95 each, and the women get a gift of flowers that cost $ 8.95 each. If the total cost for gifts was $ 1724.25, how many men and how many women were invited?

Answers

The answer is $2000 your welcome

Curved surface area of a cone is 308 cm and its slant height is 14 cm Find.
radius of the base (m) Total surface area of the cone.

Answers

Step-by-step explanation:

tsa= total surface area

csa=curved surface area

answer is in the picture

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In part A, predict what will happen in the container overnight.Part AWhat do you think will happen when you leave the paper in the container overnight?Part BNow leave the paper in the container overnight. In the morning, look at the paper and write down your observations.Analyze and ExtendPart AWere your predictions correct? Explain.Part BWhat process caused the changes that occurred on the paper?Part CEvaporation happens in the ocean as part of the water cycle. What fuels evaporation in the ocean?Part DSome ocean water evaporates, but certainly not all of it. When evaporation occurs, what happens to the ocean water that doesnt evaporate? Explain in terms of the salt content and what you saw in the experiment. Dispose of your waste properly:Shake the salt off the paper into the trash.Recycle the paper. on what dimension would todays smartphone score the highest in the idea framework? how might advertising with no apparent informational content in fact convey information to consumers? 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