Suppose n(t) = -51^2 + 10t + 3 represents the height of a

diver above the water (in meters), 1 seconds after

the diver leaves the springboard. Which of these

statements is true?

(А)

After 1 second, the diver will be 3 feet above

the water.

B

After 5 seconds, the diver will be 25 feet above

the water.

С

After 1 second, the diver will be 8 feet above

the water.

D

After 5 seconds, the diver will be 78 feet above

the water.

Answers

Answer 1

Answer:

The correct option is (c).

Step-by-step explanation:

The height of a diver abov the water is given by :

[tex]h(t) = -5t^2 + 10t + 3[/tex] ....(1)

Where h(t) is in meters and t is in seconds

Put t = 1 s, in equation (1) we get :

[tex]h(1) = -5(1)^2 + 10(1) + 3\\\\=8\ \text{feet}[/tex]

Put t = 5 s, in equation (1) we get :

[tex]h(1) = -5(5)^2 + 10(5) + 3\\\\=-72\ \text{feet}[/tex]

Out of the given options, "after 1 second, the diver will be 8 feet above  the water is (c)". Hence, the correct option is (c).


Related Questions

now? A)12 years b] 15 years
c] 194 years d] 21 years
472) The ratio of
heir age arier
471) Ratio of Aashok's age to sandeep's age is 4:3. Ashok will be 26 years old after 6 years. How old is Sandeep​

Answers

Answer:

Sandeep would be 15 years old.

Step-by-step explanation:

If Ashok is 26 in 6 years he is 20. We need to simplify 20 to 4.

20/4 = 5

So that means Sandeep’s age would be 5 x 3

5 x 3 = 15

20:15 simplified is 4:3

5 2/5 is ___ 3 1/2, is it greater than or less than

Answers

Answer:

5 2/5 > 3 1/2. 5 2/5 is greater than 3 1/2

Step-by-step explanation:

Answer:

I believe that 5 2/5 is greater than 3 1/2


Look at the number below.
6642
How is the value of the digit in the thousands place related to the value of the digit in the hundreds place?
A It is six times greater.
B
It is ten times greater.
С
It is one hundred times greater
The values of the digits are the same.

Answers

Answer:

Option (B)

Step-by-step explanation:

Given number is 6642.

Number at ones place = 2

Number at tens place = 4

Number at hundredth place = 6

Number at thousand place = 6

Value of the number at tens place = 4 × 10 = 40

Value of the number at hundreds place = 6 × 100 = 600

Value of the number at thousand place = 6 × 1000 = 6000

Number at thousand place = 10 × (Number at hundreds place)

Therefore, Option (B) will be the answer.

Which measure is equivalent to 126 in.?



1 ft = 12 in.

1 yd = 3 ft

Answers

Answer:

3.5 yd is your answer

Step-by-step explanation:

First, change in. to ft. Note that the measurement given to you is that 1 ft = 12 in.

Divide the amount of inches you have with 12.

126/12 = 10.5

Next, solve for yards. It is given to you that 1 yard = 3 feet.

Divide the amount of feet you have with 3.

10.5/3 = 3.5

3.5 yd is your answer

1/2 times 4 /please answer for me :)

Answers

Answer:

2

Step-by-step explanation:

1/2*4 = 2

hope this helps

Solve the problem. Use the Central Limit Theorem. The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 109.0 inches, and a standard deviation of 10 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 111.8 inches

Answers

Answer:

0.91924

Step-by-step explanation:

Given that :

A normal distribution has ;

Mean (m) = 109.0 inches

Standard deviation (σ) = 10 inches

Sample size (n) = 25

Probability that randomly picked years is less than 111.8 inches

Using the Zscore relation :

Zscore = (x - m) / (σ/√n)

x = score = 111.8 inches

Zscore = (111.8 - 109.0) / (10/√25)

Zscore = (2.8) / (10/5)

Zscore = 2.8 / 2

Zscore = 1.4

P(Z < 1.4) = 0.91924 ( using z probability calculator)

P(Z < 1.4) = 0.91924

The Walt Disney Company, the production studio behind the Marvel Cinematic Universe, is trying to find the best release date for their new super hero movie. They are hesitating between the summer and winter holiday release, and they want to know if there is any difference between the earning potential during those seasons. The analytics division in the company examined a random sample of box-office data for movies released during the past 5 years in the USA and Canada and found that 53 out of 1252 movies with summer release date earned over 400 million dollars. They also counted that out of 544 movies released in the winter, 6 earned over 400 million dollars. Round all answers to four decimal places.


Over 400 million USD Under 400 million USD Total
Summer release 54 1252
Winter release 6 547
Total

Required:
a. What are the hypotheses for testing whether there is a significant difference in the proportion of movies who earn over 400 million dollars for the two release seasons?
b. Calculate the difference in the proportions of movies that earned over 400 million dollars.

Answers

Answer:

dont know..................

It is well known that generally a female's growth spurt occurs before a male's; therefore the
female's height data will likely be higher than the male's data.
Discuss this idea in a well-structured paragraph. Use your calculations of the mean, median, mode
and range of the data to support your decision.

Answers

Answer:

Most girls start their sexual development between the ages of 8 and 13 (the average age is 12), and have a growth spurt between the ages of 10 and 14.

Most boys start developing sexually between the ages of 10 and 13, and continue to grow until they're around 16.

this my help

choose the equation below that represents the line passing through the point (-3, -1) with a slope of 4​

y = 4x - 11
y = 4x + 11
y = 4x + 7
y = 4x - 7

Answers

Answer:

y = 4x +11

Step-by-step explanation:

[tex](-3,-1) = (x_1, y_1) \\ m = 4[/tex]

Substitute values into point slope form

[tex]y-y_1 = m(x-x_1) \\ y - ( - 1) = 4(x - ( - 3)) \\ y + 1 = 4(x + 3) \\ y + 1 = 4x + 12[/tex]

Collect like terms and simplify

[tex]y = 4x + 12 - 1 \\ y = 4x + 11[/tex]

Answer:

y=4x + 11

Step-by-step explanation:

y = mx + b

y = 4x + b

-1= 4(-3) + b

b= 11

y= 4x + 11

The auto parts department of an automotive dealership sends out a mean of 4.34.3 special orders daily. What is the probability that, for any day, the number of special orders sent out will be exactly 55

Answers

Answer:

[tex]P(X = 5) = 0.166[/tex]

Step-by-step explanation:

Given

[tex]Mean = 4.3[/tex]

[tex]x = 5[/tex]

Required

Determine the probability that the order is 5

This question can be answered using Poisson distribution.

[tex]P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}[/tex]

Where

[tex]\alpha[/tex] is used to represent the mean

and

[tex]\alpha = 4.3[/tex]

[tex]x = 5[/tex]

[tex]e = 2.71828[/tex] ---- Euler's constant

So, we have:

[tex]P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}[/tex]

[tex]P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{5!}[/tex]

[tex]P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{5* 4 * 3 * 2 *1}[/tex]

[tex]P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{120}[/tex]

[tex]P(X = 5) = \frac{1470.08443 * 0.01356859825}{120}[/tex]

[tex]P(X = 5) = \frac{19.9469850243}{120}[/tex]

[tex]P(X = 5) = 0.1662248752[/tex]

[tex]P(X = 5) = 0.166[/tex] Approximated

9. Determine whether KM and ST are parallel, perpendicular, or neither. K(-1, -8), M(1,6), S(-2,-6), T(2, 10) A Parallel B Perpendicular C Neither​ Hint(use slope formula)

Answers

Neither: the slope for KM=7, and the slope for ST= 1

Expression to the same value as 10 to the power of six

Answers

Answer:

10+10+10+10+10+10=1000000

Step-by-step explanation:

What is the y intercept of the line in the graph shown?

The equation of the line is y=__x__

!! QUICK WILL MARK BRAINLIEST !!

Answers

Y=1x -2, the y intercept is -2
y=x-2

the slope is 1, it goes up and to the right by 1 unit, and the y intercept is -2.

Debbie sells yard art at the local craft show. Each items sells for $15. It costs her $8 to make each item and $25 for her booth fee. Which inequality shows how many items she needs to sell in order to make a profit?

15x > 8(x + 25)

15x > 8x + 25

15x > 8 + 25x

15x < 8x + 25

Answers

Answer: 15x > 8(x + 25)

that is what i think i am not very good a math sorry

Step-by-step explanation:

Answer:

15x > 8(x + 25)

Step-by-step explanation:

I think this is the answer

Find the cost price. selling price 6097 loss percent=9%​

Answers

Answer:

6645.73

Step-by-step explanation: 6097 multiplied by .09= 548.73, then you add that to 6097 wich gives you a total of 6645.73

6645.73 I think................

Write a math expression for total number of sticks in one pack of red sticks and one pack of blue sticks. There’s 8 red in a pack and 12 blue in a pack.

Answers

Answer:

8:12

Step-by-step explanation:

It's a ratio!

How many red is there? 8!

How many blue is there? 12!

So red to blue is 8:12!

Answer: The total number of sticks in one pack of red and one pack of blue is (8 + 12).

Step-by-step explanation: it is the answer edmentum gave me

How many gallons are in Two-fifths of a One-half-gallon container of milk?

Answers

Answer:

one tenth of a galon

Step-by-step explanation:

I think this is the answer hope this helps (:

How do you determine the absolute maximum and minimum values of a continuous function on a closed​ interval?

Answers

Answer:

Steps are detailed below.

Step-by-step explanation:

The steps to determine the absolute maximum and minimum values of a continuous function on a closed​ interval are;

For example, if we have a function f(x) = x³ - 3x + 2 on the interval (-3, 4)

The steps are;

Step 1:

We will find the first derivative of f(x) which is; f'(x) = 3x² - 3.

Then we will find the critical values of this derivative. The critical values are the values of x that makes f'(x) = 0. But these critical values must fall in between the given interval (-3, 4)

Step 2:

Plug in the critical values gotten in step 1 above into the original f(x) function and note down the answers.

Step 3;

Plug in the endpoint values on the interval (-3, 4) given in the question into the original f(x) function and note down the answers.

Step 4;

The highest and lowest values of f(x) gotten in steps 2 & 3 are the absolute maximum and absolute minimum values respectively of the continuous function f(x).

y=-4/5x-5..........................,........

Answers

Answer:

what is the question exactly?

Step-by-step explanation:

you just gave me an equation to work with

7 x7 dived by 5 plz helppppvme

Answers

Answer:

Step 1) 7*7 = 49

Step 2)  49/5 = 9.8

Answer:

Step-by-step explanation:

7x7=49, 49 divided by 5=9.8, hope I helped! :P

Use the properties of operations. a. The Commutative Property is true for addition. For example, 7+2= 2+7. Does the Commutative Property apply to subtraction? Is 2-7 equal to 7-2? Explain.​

Answers

Step-by-step explanation:

Commutative property of addition is a+b=b+a

7+2=9 , 2+7=9

9=9

So, commutative property is true for addition

2-7=-5 , 7-2=5

-5 is not equal to 5

Commutative property does not apply to subtraction

Marking Braniest!!! What is 100÷4÷4÷4

Answers

Answer:

1.5625

Step-by-step explanation:

100 divided by 4 is 25. 25 divided by 4 is 6.25 and 6.25 divided by 4 is 1.5625

Answer:

1.5625

This is what I think is the answer

I need help on thisss

Answers

Answer:

1) 4 pots

Left over 2

2) 168 to make 12

122

3) 9

18

Step-by-step explanation:

Sixteen years after purchasing shares in a mutual fund for $6200, the shares are sold for $11,000. The the total return is %. ​

Answers

9514 1404 393

Answer:

  77.42%

Step-by-step explanation:

The increase in value is ...

  (11000/6200 -1) × 100% ≈ 77.42%

**100** The given data represent the total compensation for 10 randomly selected CEOs and their​ company's stock performance in 2009. Analysis of this data reveals a correlation coefficient of r = 0.1887. What would be the predicted stock return for a company whose CEO made​ $15 million? What would be the predicted stock return for a company whose CEO made​ $25 million?

Answers

Answer:

Your answer is: Look Below

Step-by-step explanation:

Hope this helped : )

Ritika bought 5 meters of cloth from the market. She cut off 2 3/4 meters and gave it to Aditi. What length of cloth is left with her?

Answers

Answer:

I think its 3/2

hope it will help you

Factorise fully
-y - 6


this is my last question for today, right answer will be marked brainiest​

Answers

Answer:

[tex]-(y+6)[/tex]

Step-by-step explanation:

[tex]-y-6\\\\=-(y+6)[/tex]

Answer:

-(y+6)

Step-by-step explanation:

[tex] - y - 6[/tex]

Common factor : -1

[tex] - 1(y + 6) = \\ - (y + 6)[/tex]

Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,100, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,500. Manufacturing costs are $13 for each 4-cylinder connecting rod and $16 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 5,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let

x4 = the number of 4-cylinder connecting rods produced next week
x6 = the number of 6-cylinder connecting rods produced next week
s4 = 1 if the production line is set up to produce the 4-cylinder connecting rods; 0 if otherwise
s6 = 1 if the production line is set up to produce the 6-cylinder connecting rods; 0 if otherwise

Required:
Using the decision variables x4 and s4, write a constraint that sets next week.

Answers

Answer:

Generally the constraint that sets next week are shown below

Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder  to  W_4 or  0 is  

     [tex]x_4 \le W_4 *  s_4[/tex]

    [tex]x_4 \le 5000 *  s_4[/tex]

Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder  to  W_6 or  0  is  

     [tex]x_6 \le W_6 *  s_6[/tex]

     [tex]x_6 \le 8,000 *  s_6[/tex]

Generally the constrain that limits the production of connecting rods  for both 4 cylinder and 6 cylinders  is

     [tex]x_4 \le W_4 *  s_6[/tex]

=>   [tex]x_4 \le 5000 *  s_6[/tex]

     [tex]x_4 \le W_6 *  s_4[/tex]

=>    [tex]x_4 \le 8000 *  s_4[/tex]

     [tex]s_4 + s_6 = 1[/tex]

The minimum cost of production for next week is  

   [tex]U  =  M_4 *  x_4 + M_6 * x_6 + C_4 * s_4 + C_6 * s_6[/tex]

=>  [tex]U  =  13x_4 + 16x_6 + 2000 s_4 + 3500 s_6[/tex]

Step-by-step explanation:

The cost for the four cylinder production line is  [tex]C_4 =  \$2,100[/tex]

The cost for the six cylinder production line is  [tex]C_6 = \$3,500[/tex]

The manufacturing cost for each four cylinder is  [tex]M_4= \$13[/tex]

 The manufacturing cost for each six cylinder is [tex]M_6= \$16[/tex]

  The weekly production capacity for 4 cylinder connecting rod is [tex]W_4 = 5,000[/tex]

   The weekly production capacity for 6 cylinder connecting rod is [tex]W_6 = 8,000[/tex]

Generally the constraint that sets next week are shown below

Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder  to  W_4 or  0 is  

     [tex]x_4 \le W_4 *  s_4[/tex]

    [tex]x_4 \le 5000 *  s_4[/tex]

Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder  to  W_6 or  0  is  

     [tex]x_6 \le W_6 *  s_6[/tex]

     [tex]x_6 \le 8,000 *  s_6[/tex]

Generally the constrain that limits the production of connecting rods  for both 4 cylinder and 6 cylinders  is

     [tex]x_4 \le W_4 *  s_6[/tex]

=>   [tex]x_4 \le 5000 *  s_6[/tex]

     [tex]x_4 \le W_6 *  s_4[/tex]

=>    [tex]x_4 \le 8000 *  s_4[/tex]

     [tex]s_4 + s_6 = 1[/tex]

The minimum cost of production for next week is  

   [tex]U  =  M_4 *  x_4 + M_6 * x_6 + C_4 * s_4 + C_6 * s_6[/tex]

=>  [tex]U  =  13x_4 + 16x_6 + 2000 s_4 + 3500 s_6[/tex]

The points on a scatterplot increase rapidly. You run a linear regression on

the data. The residual plot shows a pattern, and is low.

Which of these methods would likely result in a better model of the data?

A. Run a quadratic regression on the data and then linearize the data.

B. Linearize the data by taking the log of the response variable, and

then run a linear regression.

C. Linearize the data by taking the logs of both variables, and then

run a linear regression.

D. Linearize the data by taking the log of the response variable, and

then run an exponential regression.

Answers

Answer:

B

Step-by-step explanation:

The method that would most likely result in a better model of the data is to :

Linearize the data by taking the log  of the response variable, and then run a linear regression.

A linear regression can be expressed as

[tex]log(y) = \beta _{0} + \beta _{1} x[/tex]

The linear regression is applied  to improve the model fitting and also helping to linearize the responses which causes an increase in the R-squared value.

Answer:

B

Step-by-step explanation:

Help APSPPP!!!!!!!!!!!!

Answers

Answer:

ok what u need help with

Step-by-step explanation:

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