Mathematics College

Item 12
The graph represents the height y, in feet, above the ground of a water balloon x seconds after it is dropped from a window.

Which statement is true?

Select each correct answer.

The maximum height of the water balloon occurs at x = 0.

The water balloon is in the air for 2 s.

The water balloon hits the ground in 64 s.

The water balloon rises above 64 ft before falling toward the ground.

The maximum height of the water balloon is 64 ft.

Answers

Answer 1

Answer:

O The maximum height of the water balloon occurs at x = 0.

O The water balloon is in the air for 2 s.

O The maximum height of the water balloon is 64 ft.

Step-by-step explanation:

Firstly, by simply looking at the x axis on the graph (time), you will see that it starts at 0 and the 64 ft maximum height is aligned with the starting point of 0 seconds.

The graph also shows (x axis) the 'time' represented, and as the height rapidly decreases the graph eventually reaches the 2 second mark, going no further and no lower.

Finally, the graph shows (y axis) the peak of the water balloon's height is 64 ft, as it is the highest number reached while the water balloon was airborne.

Answer 2

The following statement is True.

The maximum height of the water balloon occurs at x = 0.The water balloon is in the air for 2 s.The maximum height of the water balloon is 64 ft.

A true statement to be chosen from the following.

What is a graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

From the graph, the following points are to be noted.
The water balloon is at 64 ft at x = 0.
The water balloon takes 2 sec to reach y = 0.
The water balloon has a maximum height of x = 0.

Thus, points 1,2, and 5 are true.

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Related Questions

rewrite in standard form y-2=4/3(x-1)

Answers

Answer:

y= 4/3x + 2/3

Step-by-step explanation:

distribute the 4/3 into the parenthesis. Rearrange and solve

y = 4/3(x - 1) + 2
y = 4/3x - 4/3 + 2
y = 4/3x + 2/3
3y = 4x + 2
Stand form: Ax + By = C
Solution: 4x - 3y = -2

Question in picture below will give brainly

Answers

Answer:

only student ll (2)

Step-by-step explanation:

66% of 62 is...? **SHOW YOUR WORK** PLEASE HELP!! :'(

Answers

Step-by-step explanation:

divide 62 by 100 and then multiply that number by 66. I don't have a calculator on me rn sorry

Answer:

Fraction:

[tex]\frac{1023}{25}[/tex]

Decimal:

40.92

Mixed Number:

[tex]40\frac{23}{25}[/tex]

Step-by-step explanation:

66% is the same this as [tex]\frac{66}{100}[/tex]. You can simplify [tex]\frac{66}{100}[/tex] to [tex]\frac{33}{50}[/tex]. Then, find [tex]\frac{33}{50}[/tex] of 62, which is the same thing as [tex]\frac{33}{50}[/tex] x 62. You’ll get either of the three options, a fraction, decimal, or a mixed number, but all three are the same thing (you get to choose which one).

Hope this helps! :)

If a car needs 5 gallons to go 160 miles how many gallons would it need to go 96 miles

Answers

Answer:

3 gallons

Step-by-step explanation:

as u can travel 32 miles on 1 gallon, 32 x 3 = 96 so 1 x 3= 3

Hay it is meh plz save me

Answers

Answer:

The distance is 1/3 :)

Your welcome

Answer:

1/3

Step-by-step explanation:

Hope it helps :)

Find the slope and the y-intercept of the line.
5x - 4y= -16
Write your answers in simplest form.

Answers

Step-by-step explanation:

Use the slope-intercept form

y=mx+b

to find the slope m and y-intercept b

Slope: 5/4

y-intercept: (0,-4)

A restaurant surveyed consumers to determine if they like hot or cold beverages for breakfast. 60 consumers like hot beverages, and 40 like cold beverages, and 12 neither, how many consumers were surveyed

Answers

Answer:

112

Step-by-step explanation:

You just have to add all of those numbers

60 +40 =100

100 + 12= 112.

Answer:

92 people

Step-by-step explanation:

Since there is 20 people who liked both hot and cold beverages, we can subtract from the people who like hot beverages and people who like cold beverages to find the people who ONLY like hot beverages and the people who ONLY like cold beverages.

People who only like cold beverages:

40 - 20 = 20

People who only like hot beverages:

60 - 20 = 40

Summing it all up:

40 + 20 + 20 + 12 = 92 people total

I hope this helps! :)

A block of ice has a square top and bottom and rectangular sides. At a certain point in
time, the square top and bottom each have a length of 30 cm, which are decreasing at a
rate of 2 cm/h. At the same time, the height of the ice block is 20 cm and decreasing at
3 cm/h. How fast is the ice melting?

Answers

Answer:

[tex]\frac{dV}{dt} = 360 \ cm^3/h[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Geometry

Volume of a Rectangular Prism: V = lwh

Calculus

Derivatives

Derivative Notation

Differentiating with respect to time

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

[tex]l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h[/tex]

Step 2: Differentiate

Rewrite [VRP]: [tex]V = l^2h[/tex]Differentiate [Basic Power Rule]: [tex]\frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}[/tex]

Step 3: Solve for Rate

Substitute: [tex]\frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)[/tex]Multiply: [tex]\frac{dV}{dt} = 360 \ cm^3/h[/tex]

Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.

100 50 52 26 28 14
what number is next

Answers

Answer:

98 its multiply by 2 then subtract

Answer:

Step-by-step explanation: (if its from left to right)

Which angle(s) is/are congruent? There may be more than one answer

Answers

Answer:

if they all have the same angle they r congruent

Step-by-step explanation:

The director of a state agency believes that the average starting salary for clerical employees in the state is less than $30,000 per year. To test her hypothesis, she has collected a random sample of 100 starting clerical salaries from across the state and found that the sample mean is $29,750. a) Develop the appropriate null and alternative hypotheses. b) Assuming the standard deviation is known to be $2,500 and the significance level for the test is to be 0.05, what is the t-statistic

Answers

Answer:

The test statistics is [tex]z = -1[/tex]

Step-by-step explanation:

From the question we are told that

The sample size is n = 100

The null hypothesis is [tex]H_o : \mu = \$30000[/tex]

The alternative hypothesis is [tex]H_a : \mu < \$ 30000[/tex]

The sample mean is [tex]\= x = \$29,750[/tex]

The standard deviation is [tex]\sigma = \$2,500[/tex]

The level of significance is [tex]\alpha =0.05[/tex]

Generally the test statistics is mathematically represented as

[tex]z = \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }[/tex]

=> [tex]z = \frac{29750 - 30000 }{ \frac{ 2500}{ \sqrt{100} } }[/tex]

=> [tex]z = -1[/tex]

From the desired test, we have that:

The null hypothesis is: [tex]H_0: \mu \geq 30000[/tex]The alternative hypothesis is: [tex]H_1: \mu < 30000[/tex]

b) The t-statistic is t = -1.

Item a:

At the null hypothesis, we test if the average starting salary for clerical employees in the state is not less than $30,000, that is:

[tex]H_0: \mu \geq 30000[/tex]

At the alternative hypothesis, it is tested if the salary is less than $30,000, that is:

[tex]H_1: \mu < 30000[/tex]

Item b:

We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.

For this problem, the values of the parameters are: [tex]\overline{x} = 29750, \mu = 30000, s = 2500, n = 100[/tex]

Hence, the t-statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{29750 - 30000}{\frac{2500}{\sqrt{100}}}[/tex]

[tex]t = -1[/tex]

The t-statistic is t = -1.

A similar problem is given at https://brainly.com/question/13873630

Look at this table:
х
у
-19
2
2
11
8
16
Is this relation a function?
yes
no

Answers

Answer:

The answer is No

Step-by-step explanation:

Answer:

no because it has two of the same x values

The question is below the screen

Answers

9514 1404 393

Answer:

x = 12

Step-by-step explanation:

The square of the length of the tangent segment is equal to the product of lengths from the external common point to the two circle intersections of the secant.

x^2 = (2)(70+2)

x^2 = 144

x = √144

x = 12

A person places $1380 in an investment account earning an annual rate of 8.6%,
compounded continuously. Using the formula V = Pent, where Vis the value of the
account int years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 10 years.

Answers

Answer:

3261.16

Step-by-step explanation:

r=8.6\%=0.086

r=8.6%=0.086

Move decimal over two places

P=1380

Given as the pricipal

t=10

Given as the time

V=Pe^{rt}

V=Pe

V=1380e^{0.086( 10)}

V=1380e

0.086(10)

Plug in

V=1380e^{0.86}

V=1380e

0.86

Multiply

V=3261.1618\approx 3261.16

V=3261.1618≈3261.16

Evaluate:5^-1 – 6^-1
with explanation please!!

Answers

Answer:

1/30

Step-by-step explanation:

5^-1 = 1/5

6^-1 = 1/6

1/5 - 1/6 = 1/30

Please help ASAP!!!!

Answers

Answer:

See attached pdf for answer

Step-by-step explanation:

Round 4,368 to the nearest ten

Answers

Answer:

4,370

Step-by-step explanation:

If you are looking for the nearest ten in 4,368, you round up the number 8. Eight is greater than five and not less than four, therefore, the answer is 4,370. Good Luck on whatever assignment you're doing!

Answer:
4370

Explanation:
5 or more you round to the next number. In this case 8 is above 5 so you round to the next number of 68 which is 70

Mrs. Liang, the librarian, wants to compare the numbers of patrons who prefer e-books to paperback books. She decides to take a poll of every third adult with a child who arrives at the library for one of the four reading groups: toddlers, preschoolers, primary grades, and upper elementary. Which statement is true about her method of data collection?

Answers

Answer:

Step-by-step explanation:

She surveys adults with a child , preschoolers , Primary students, and upper elementary Students , and these are the majority of all the people that go to the library.

(it was also correct when i took it on Edge(nuiy!)

I hope this helped you a bit!!!!

Answer:

Step-by-step explanation:

Claire currently earns $25 per hour at her work. Her boss has decided to give her a 15% raise. What is Claire's new hourly wage?

Answers

Answer:

$28.75

Step-by-step explanation:

15% of 25 is $3.75 and that + the 25 that is already there is $28.75

Answer:

$28.75

15% of $25. is $3.75....add $25.00 + $3.75= $28.75

Someone help me I’m being timed

Answers

Answer:

Step-by-step explanation:

If h(x)= -4x-10, find h(-5).

Answers

Answer:

h= −4x−10/x

Step-by-step explanation:

Someone help me out please

Answers

Caroline is correct because the equation y = (x-1)(x-5) is in factored form. If you solve the terms (x-1) and (x-5), you get the zeros (aka x-intercepts) of the graph.

Solve (set the terms equal to 0):

x-1 = 0 x = 1

x-5 = 0 x = 5

∴ the x-intercepts are (1,0) and (5,0).

The purple graph corresponds to the zeros in the equation, not the green graph. The green graph has negative x-intercepts, whereas the purple graph has positive x-intercepts like in the equation.

the FCMS basketball team has 21 wins and 14 losses write the ratio of wins to total in simplest form. Answer Choices: 21/14 21:35 3/5 3/2.

Answers

Answer:

d. 3/2

Step-by-step explanation:

Order the side lengths HI, IK, HJ, IJ, and K J from least to greatest.

Answers

Answer:

I think it's IH, IJ, JK, HJ, IK.

How many 2/3 cup servings are in 1½ cups of cheese?
lol I know this but I'm too lazy

Answers

Answer:

2.25

Step-by-step explanation:

1.5 / 0.666 (repeating) = 2.25

Answer:

There are 2 one-quarter cup servings in 1 half cup

In 5.25 cups there are 21 one-quarter cup servings

Step-by-step explanation:

So 21 quarter cup servings divided by 2 quarter cup servings per half cup serving will yield the number of half cup servings.

21/2 is 10.5, so there are ten and half, half cup servings in 5.25 cups

From midnight to 11:00 am, the temperature dropped 1.1°C each hour. If the temperature at 11:00 am was -16.1°C, what was the temperature at midnight?

Answers

Answer:

-41.4°C

Step-by-step explanation:

1.1 * 23 = 25.3

16.1 + 25.3 = 41.4

(I prefer working with positive numbers and just switch the sign at the end)

Hope this helped.

-Pepsi

The temperature at midnight was approximately -28.2°C, here the temperature dropped by 1.1°C each hour.

From midnight to 11:00 am, there are a total of 11 hours (since 11:00 am is 11 hours after midnight).

Given that the temperature dropped 1.1°C each hour, the total temperature drop is 1.1°C/hour × 11 hours = 12.1°C.

To find the temperature at midnight, we subtract the total temperature drop from the temperature at 11:00 am:

Temperature at midnight = Temperature at 11:00 am - Total temperature drop

= -16.1°C - 12.1°C

= -28.2°C

Therefore, the temperature at midnight was approximately -28.2°C.

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The owner of a health club decides to reduce the $35 membership fee by five dollars what is the approximate percent decrease in the fee

Answers

Answer:

14%

Step-by-step explanation:

5/35 = About 0.14

it's c

have a nice day mark me brainlist!

PLEASE HELP ILL GIVE BRAINLIST

Answers

Answer:

Step-by-step explanation:

C OR A

Answer:

Step-by-step explanation:

Have a nice day!

A drawer contains 12 identical white socks, 18 identical black socks
and 14 identical brown socks. What is the least number of socks you
must choose, without looking, to be certain that you have chosen two socks of the same colour?

Answers

Answer:

2 brown

Step-by-step explanation:

The only time you can be so sure you've chosen 2 brown socks is when there are no more white socks and black socks. This means that to be 100% sure that you have chosen 2 brown socks you have to choose the 12 white socks and the 18 black socks and only then can you choose 2 brown socks without looking. Therefore, the total number of socks to choose from is:

Total number of socks = 12 white socks + 18 black socks + 2 brown socks

Total number of socks = 32 socks

A total picking of 32 socks is necessary to be sure without looking that 2 brown have already been chosen that way.

The least number of socks must choose, must choose without looking, to be certain that you have chosen two socks of the same color is 4.

What is least number?

The least number is "the smallest or lowest number or degree".

According to the question,

A drawer contains 12 identical white socks, 18 identical black socks, and 14 identical brown socks.

In order to find the least number of socks you must choose, without looking, to be certain that you have chosen two socks of the same color.

Since, we have only 3 different colors to get pair of one color we need to take 4 socks so that last one must matches color of socks what we have already have in our hand.

Hence, it clearly shows the least number of socks must choose, without looking, to be certain that you have chosen two socks of the same color is 4.

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i really need help asap

Answers

Answer:

-7=k

Step-by-step explanation:

5k-3k-2=-16

2k-2=-16

2k=-14

k=-7

k= -7 should be the answer !

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