-2y-8+4y−2y−8+4y
A)−2(y+4)+4y
B)4(−2+y)−2y
C)none above

Answer:

A waterfall has a height of 1500 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 24 feet per second. The​ height, h, of the pebble after t seconds is given by the equation h =−16t^2+24t+1500. How long after the pebble is thrown will it hit the​ ground?

Pebble will hit the ground after 10.46 seconds.

Step-by-step explanation:

Given:

The​ height, "h" of the pebble after t seconds, "h" = −16t^2+24t+1500

We have to find the time it will take to hit the ground.

For this we have to put h = 0 and solve the quadratic.

Quadratic formula:

⇒ Standard equation : [tex]ax^2+bx+c=0[/tex]

⇒ [tex]x =\frac{-b\pm \sqrt{(b)^2-4ac} }{2a}[/tex]

Now,

Solving the above equation with quadratic formula after comparing its values with the standard equation.

⇒ [tex]a=-16,\ b=24,\ c=1500[/tex]

⇒ [tex]t =\frac{-b\pm \sqrt{(b)^2-4ac} }{2a}[/tex]

⇒ [tex]t =\frac{-24\pm \sqrt{(24)^2-4(-16)(1500)} }{2(-16)}[/tex]

⇒ [tex]t =\frac{-24\pm \sqrt{576+96,000} }{-32}[/tex]

⇒ [tex]t =\frac{-24\pm(310.76)}{-32}[/tex]

⇒ [tex]t =\frac{-24+(310.76)}{-32}[/tex]                         ⇒ [tex]t =\frac{-24-(310.76)}{-32}[/tex]

⇒ [tex]t =-\frac{286.76}{32}[/tex]                                ⇒ [tex]t =\frac{334.76}{32}[/tex]

⇒ [tex]t=-8.96\ sec[/tex]                            ⇒ [tex]t=10.46\ sec[/tex]

Discarding the negative values.

The pebble will hit the ground after 10.46 seconds.

Answer:

324

Step-by-step explanation

the answer is c. i do online work, yw!

Answer:

120

Step-by-step explanation:

Each time you add 40 to gas(oz)

Answer: 120 ounces of gas

Step-by-step explanation: Given: 40 ounces of gas to 1 ounce of oil

We need to find: __ ounces of gas to 3 ounces of oil

What we know:

1 × 40 = 40 ounces of gas

2 × 40 = 80 ounces of gas

3 × 40 = 120 ounces of gas

So, all you needed to do was multiply 3 times 40 to get 120 ounces of gas.

Conclusion: The answer is 120 ounces of gas.

Answer:

(9, -7)

Step-by-step explanation:

[tex]x^2+y^2+18x+14y+105=0\\[/tex]

Rearrange like x and y terms next to each other, then complete the square on both.

[tex](x-9)^2-361 + (y+7)^2 - 49 + 105 = 0[/tex]

The negative of the # numbers instead the brackets give you the centre of the circle.

The given equation does not represent a circle because the radius is an imaginary number.

The given equation represents a circle in the Cartesian coordinate plane. The general form of a circle equation is (x - h)² + (y - k)² = r², where (h, k) is the centre of the circle and r is the radius. By rearranging the equation, we can find the centre by completing the square for both x and y.

For the given equation, x² + y² + 18x + 14y + 105 = 0, we complete the square for x by adding (18/2)² = 81 to both sides of the equation and for y by adding (14/2)² = 49 to both sides of the equation. This gives us:

(x² + 18x + 81) + (y² + 14y + 49) + 105 - 81 - 49 = 0

(x + 9)² + (y + 7)² = -175

The equation (x + 9)² + (y + 7)² = -175 does not represent a circle because the radius, which is the square root of -175, is an imaginary number. Therefore, the given equation does not have a real centre or radius.

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Answer:

It is A.

Look at the attachment down below:

Step-by-step explanation:

The equation is used to find the unknown length (a) will be 17² =15² + a². Then the correct option is A.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

A right triangle has a side with length 15 meters and a hypotenuse with length 17 meters.

The other side is labeled a.

17² =15² + a²

Then the correct option is A.

More about the Pythagoras theorem link is given below.

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Answer:

A =32 units^2

Step-by-step explanation:

This figure is a trapezoid

We can find the area from

A = 1/2(b1+b2)h  where b1 and b2 are the base length and h is the height

A = 1/2(4+12) *4

A = 1/2 (16)*4

A =32 units^2

Answer:

$41.685        

Step-by-step explanation:

Given:-

- The material cost per square foot, C = $1.25

- The two boxes have the dimensions:

         Box 1 : ( 9 x 9 x 10 ) in

         Box 2: ( 11 x 7 x 10 ) in

Find:-

so how much does a company save by choosing to make 50 of Box 2 instead of Box 1?

Solution:-

- We will first determine the surface areas of the two boxes Box 1 ( A1 ) & Box 2 (A2).

               A1 : 2*( 9*9) + 4*( 9*10) = 522 in^2 = 43.5 ft^2

               A2 : 2*(11*7) + 2*(11*10) + 2*(7*10) = 514 in^2 = 42.833 ft^2

- Determine the cost for each box:

               Cost of box 1 = A1*C = 43.5*$1.25 = $54.375

               Cost of box 2 = A2*C = 42.833*$1.25 = $53.5413

- The amount saved by the company by choosing to make 50 Box 2 as compared to 50 Box 1:

               Amount saved = 50*(Cost of box 1 - Cost of box 2)

                                         = 50*( 54.375 - 53.5413 )

                                         = $41.685        

Answer:

? = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Take two points in this case, (-2,4) and (0,5)

Use rise over run for slope to find ?

5-4/0+2 = 1/2

To find the other blank, enter one of the two points into the existing equation.

y = 1/2x + b

5 = 0 + b

b = 5

The equation is y = 1/2x + 5

Answer: B

Step-by-step explanation:

Both the mean and the median will decrease, but the mean will decrease by more than the median.

Answer:

Both the mean and the median will decrease, but the mean will decrease by more than the median.

Step-by-step explanation:

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If the sample mean is close to 32 ounces or the sample standard deviation is large, it is less likely that we will reject the null hypothesis.

To determine if there is sufficient evidence to conclude that the mean amount of milk in cartons is less than 32 ounces, we would conduct a hypothesis test. The null hypothesis (H0) would state that the mean amount of milk in cartons is at least 32 ounces, while the alternative hypothesis (Ha) would state that the mean amount is less than 32 ounces.

The null hypothesis: [tex]\( H_0: \mu \geq 32 \)[/tex]

The alternative hypothesis: [tex]\( H_a: \mu < 32 \)[/tex]

Here is the step-by-step process to conduct the hypothesis test:

1. **Identify the sample mean [tex](\( \bar{x} \))[/tex] and the sample standard deviation (s).** These values would be calculated from the sample of 22 cartons.

2. **Calculate the test statistic (t-score).** The formula for the t-score in a one-sample t-test is:

[tex]\[ t = \frac{\bar{x} - \mu_0}{\frac{s}{\sqrt{n}}} \][/tex]

where [tex]\( \mu_0 \)[/tex] is the hypothesized mean (32 ounces in this case), [tex]\( \bar{x} \)[/tex] is the sample mean, [tex]\( s \)[/tex] is the sample standard deviation, and [tex]\( n \)[/tex] is the sample size.

3. **Determine the degrees of freedom (df).** For a one-sample t-test, the degrees of freedom are [tex]\( n - 1 \)[/tex], where [tex]\( n \)[/tex] is the sample size. In this case, [tex]\( df = 22 - 1 = 21 \)[/tex].

4. **Find the critical t-value or p-value.** Using the degrees of freedom, we can find the critical t-value from a t-distribution table or calculate the p-value. The significance level (α) is typically set at 0.05 for such tests.

5. **Make a decision.** If the test statistic is less than the critical t-value or if the p-value is less than α, we reject the null hypothesis in favor of the alternative hypothesis. This would mean there is sufficient evidence to conclude that the mean amount of milk in cartons is less than 32 ounces.

6. **Calculate the p-value.** The p-value is the probability of observing a sample mean at least as extreme as the one observed, assuming the null hypothesis is true. It can be calculated using statistical software or a t-distribution table.

7. **Report the results.** If the p-value is less than α, we report that there is sufficient evidence to conclude that the mean amount of milk in cartons is less than 32 ounces. If the p-value is greater than α, we report that there is not enough evidence to conclude that the mean amount is less than 32 ounces.

Without the actual sample data (sample mean and sample standard deviation), we cannot perform the calculations or make a conclusion. However, if the sample mean is substantially less than 32 ounces and the sample standard deviation is small, it is more likely that we will reject the null hypothesis. Conversely, if the sample mean is close to 32 ounces or the sample standard deviation is large, it is less likely that we will reject the null hypothesis.

Step-by-step explanation:

x + y = 6 ...................equation 1

x - y = 10 ..................equation 2

Solving equation 1 and 2

x + y = 6

x - y = 10

2x = 16

x = 16 /2

Therefore x = 8

Now

putting x = 8 in equation 1

8 + y = 6

y = 6 -8

y = -2

hope it was helpful :)

Answer:

x=8 and y= -2

Step-by-step explanation:

x+y=6

x-y=10      +              ( add them together)

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

2x=16                          ( substitute/ plug x back in )

x=8

8+y=6

8-y=10

y=-2

Answer: displacement is a measure that includes direction

Displacement is the difference between a starting point and a ending point

Displacement is measured as a straight line between a starting point and an ending point

Step-by-step explanation:

Answer:

Speed = Distance / Time

Distance = Speed x Time

Bus: 15 x 40 = 600 m

Clever: 600 / 60 = 10 minutes

Answer = 10 mins

Step-by-step explanation:

hope it helps:) brainlest?!

Answer:

B

Step-by-step explanation:

It's a trapezoid. The top and bottom sides sum is 18+12 which is 30. the height is 10 and the equation would be 30 times 10 times 1/2. The answer would then be 150.

Answer:

b

Step-by-step explanation:

Final answer:

There are 6 strawberries in the bowl.

Explanation:

To find the number of strawberries in the bowl, we can set up an equation based on the given information. Let's assume the number of strawberries is S.

The problem states that there are 3 times as many blueberries as strawberries, so we can write this as:

18 = 3S.

To solve for S (the number of strawberries), we can divide both sides of the equation by 3:

S = 6.

Therefore, there are 6 strawberries in the bowl.

Answer:

6π in

Step-by-step explanation:

Length of arc

[tex] = 2\pi \: r \frac{120}{360} [/tex]

[tex] = 2\pi \times 9 \times \frac{1}{3} [/tex]

[tex] = 6\pi[/tex] in

Answer:

(5x−2) and (x+2)

Step-by-step explanation:

Answer:

(5x-2)(x+2)

If you want to check your answer mulitply (5x-2)(x+2) and you get the same

trinomial 5x2 + 8x - 4.

Answer:

c on ed

Step-by-step explanation:

just took the unit test

Answer:

The answer is c

Step-by-step explanation:

98 - x² = 0

x² = 98

x = ±√98

Lets factor 98

98 | 2

49 | 7

7 | 7

1

So, 98 = 2 . 7 . 7 = 2 . 7²

x = ±√2.7²

x = ±7√2

Hope this helps!!!

Final answer:

To calculate the chocolate per person, divide 1.5 pounds by 5 people, resulting in 0.3 pounds of chocolate per person.

Explanation:

To find the unit rate of chocolate per person, we divide the total amount of chocolate by the number of people:

Start with 1 and 1/2 (or 1.5) pounds of chocolate for 5 people.

Divide 1.5 pounds by 5 people to find the amount each person eats.
1.5 pounds ÷ 5 people = 0.3 pounds per person.
So, each person eats 0.3 pounds of chocolate.

The probability of a hummingbird flapping its wings more than 151 times per minute is close to 0, the percentage of hummingbirds flapping between 141 and 149 times per minute can be found using the standard normal distribution table or calculator and a hummingbird flapping its wings 147 times per minute is in the 84th percentile.

To solve these problems, we'll use the properties of the normal distribution.

Part A:

We'll standardize the value of 151 using the formula for z-score:

[tex]\( z = \frac{{X - \mu}}{{\sigma}} \)[/tex]

[tex]\( z = \frac{{151 - 145}}{{2}} = \frac{6}{2} = 3 \)[/tex]

Now, we find the probability corresponding to z = 3 using a standard normal distribution table or calculator. The probability of a value being more than 3 standard deviations above the mean is very low, close to 0.

Part B:

We standardize 141 and 149 similarly:

[tex]\( z_{141} = \frac{{141 - 145}}{{2}} = -2 \)[/tex]

[tex]\( z_{149} = \frac{{149 - 145}}{{2}} = 2 \)[/tex]

Then, we find the area between these two z-scores using the standard normal distribution table or calculator. It represents the percentage of hummingbirds flapping between 141 and 149 times per minute.

Part C:

To find the percentile for 147 flaps per minute, we standardize it:

[tex]\( z = \frac{{147 - 145}}{{2}} = 1 \)[/tex]

Then, we find the area to the left of z = 1 using the standard normal distribution table or calculator. This area represents the percentile.

The statement which is true regarding the values of x and y is option C; x=y+360n , for any positive integer n.

The algebraic sum of Coterminal angles at a point is 360°.

From the given information;

Angle x is coterminal with angle y.

If the measure of angle x is greater than the measure of angle y.

Then, the statement which is correct is will be as;

x = y + 360n , for any positive integer n.

Read more on coterminal angles;

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Answer:

How Fast something is going say like a car or a chart that tell how much the people you live around like that surtitle thing

Step-by-step explanation:

Answer:

6, 8, 10

8, 15, 17

3, 4, 5

5, 12, 13

are the right answers

Step-by-step explanation:

Final answer:

The population of the United States grew from around 5 million in 1800 to approximately 281 million in 2000, with growth rates declining over time due to lower birth rates and increasing reliance on immigration.

Explanation:

The population growth of the United States from 1800 to 2000 showcases remarkable changes over two centuries. Starting with the beginning of the 19th century, the US population was around 5 million and by the year 2000, it had grown to approximately 281 million according to the decennial census data. This substantial increase can be attributed to various factors including immigration, natural growth, and economic prosperity.

During the early 1800s, the population saw a significant surge, increasing by 38% between 1800 and 1810. However, as time progressed, the growth rate began to slow down. Between 1900 and 1910, the growth rate was at 21%, and it further reduced to 10% between 2000 and 2010. The declining growth rates in the later years are linked to a decrease in the total fertility rate (TFR), which at 1.9, is below the replacement rate of 2.1. The nation's population started to rely more on immigration for its growth as the birth rates declined.

In terms of economic impact, the period between 1850 and 1860 is noted for its astounding economic growth despite political tensions, where the nation's wealth and various economic indicators such as farm value and product manufacturing saw increases surpassing 100%.

Answer: 1040-A

Step-by-step explanation:

Tax form 1040 is an Internal Revenue Service form that an individual is required to file for a federal income tax return.

One of the shortened form of Tax form 1040 is the 1040-A.

1040-A form enables one to claim some adjustment. This include filing as an household head instead of a single person, claiming dependent and retirement savings, tax deductions, earned income, education, etc.

Form 1040-A is appropriate for the couple as it would allow them have a joint tax return and make tax deductions on their student loans.

Answer:

the other person was correct

The answer is D on edg2020

Answer:

I = Prt

I = 1500(.118)(2) = 354

Total amount to pay = $1854

Monthly payment = $77.25

Step-by-step explanation:

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Answer:

$2431

Step-by-step explanation:

First we need to find the area

A = l*w

A = 13*17

A =221 ft^2

It cost 11 dollars per square foot so multiply the price times the number of square ft

221*11 =2431

The total cost will be 2431

Final answer:

Heather's new carpet for her rectangular living room floor will cost $2431. This is obtained by calculating the area of the room (221 square feet) and multiplying it by the cost per square foot ($11).

Explanation:

Heather wants to buy new carpet for her living room floor, which is a rectangle with a length of 17 feet and a width of 13 feet. To find out how much the carpet will cost, we need to calculate the area of the floor and then multiply it by the cost per square foot.

First, calculate the area of the floor by multiplying the length by the width:

Area = Length × Width

Area = 17 feet × 13 feet

Area = 221 square feet

Next, multiply the area by the cost of carpet per square foot:

Total cost = Area × Cost per square foot

Total cost = 221 square feet × $11/square foot

Total cost = $2431

Therefore, the carpet will cost Heather $2431 for her living room floor.

Answer:

35

Step-by-step explanation:

You would have to get rid of the 7. To do that you would divide each side by 7 to get s=35