The vertex of this parabola is at (-3,-2). Which of the following could be its
equation?
A. y=-2(x + 3)2 + 2
B. y=-2(x + 3)2 - 2
c. y=-2(x-3) 2+2
D. y = -2(x-3)2-2

Answer:

H

Step-by-step explanation:

Formula for rate:

\(rate=\frac{distance}{time}\)

Lawrence's speed (rate):

\(r=\frac{40 miles}{60 minutes}\) = 4 mph

Beatrice's speed (rate):

\(r=\frac{20miles}{75 minutes}\) = \(\frac{ \frac{4}{15}miles }{minute}\) = 16 mph

Answer:

4th option

Step-by-step explanation:

Because the -5 is negative, it has to be something being lost.

Hope this helps! Have a nice day!

Answer: D

Explanation: Losing altitude by 5 feet every second, but for 50 seconds, so it is 50 x (-5)

Answer: Read below.

Step-by-step explanation:

1) V = 84.82 Estimate: 85

2) V = 564.44 Estimate: 564

3) V = 4712.39 Estimate: 4712.4

Answer:

!

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

4.6 +3.4 + 4 × 2

answer cames 20

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To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).

Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)

where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.

First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:

\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)

Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:

\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)

Now, we can calculate the approximate volume using the Midpoint Rule:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)

Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

To find the correct selling price, we need to first find the cost of the item plus the markup. We can do this by multiplying the cost of the item by the markup percentage: $6 * 67% = $4.02. However, since the question asks us to round to the nearest dollar, we can round this number down to $4.

Therefore, the correct selling price is $4.

The manager's likely error was that they set the selling price at the cost (option C).

Step-by-step explanation:

The correct selling price is $10 and the manager set the selling price at the markup so option (A) is correct.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Cost of item = $6

Markup = 67%

67% of $6 ⇒ 0.67 x 6 = $4.02

Add the markup in the cost = $6 + $4.02 = $10.02

Round to nearest dollars = $10.2 ≈ $10.

The manager put $4 which is a markup instant of the selling price of $10.

Hence "The correct selling price is $10 and the manager set the selling price at the markup".

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Answer:

The best measure of center would be the median and its describes the greatest and lowest height.

Step-by-step explanation:

It would be the median because putting them all in a line and counting in helps to find the median but also since there is a space, you know that it automatically has to be the median and since there is that space it would have to be describing the greatest and lowest heights.

The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:

2/8 = j/18

This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:

2/8 = j/18

218 = 8j

36 = 8*j

j = 36/8

j = 4.5

Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.

Answer:

Step-by-step explanation
2 over 8 equals j over 18

This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.

So, the correct proportion is:

Answer:

195.6 inches squared

Step-by-step explanation:

First we find the value of one of the big triangles.

(14*8*0.5)

56

Next, we find the value of the three of them combined.

56+56+56 or 56*3

168

Now, we find the value of the smaller triangle.

(6.9*8*0.5)

27.6

Because we only have one small triangle, we don't need to do what we did with the other one now.

The last step is to add the area of the three triangles with the smaller triangle.

168+27.6

195.6

The surface area of the (shape...?) is going to be 195.6 in. squared.

Answer: First blank is 15 then 28 then 25 in the last blank.

Step-by-step explanation:

On the left side column it is going up by 5 and the right column is going up by 7.

Answer:

a) 7 blocks

b) 16

c) 10

d) 13

Answer:

5√3

Step-by-step explanation:

Answer:the answer would have to be 2,3

Step-by-step explanation: the line intercepts at 2,3, if you were to check the following answers such as 6,4 and 4,6 the line does not intercept with the corresponding line.

Answer:

Step-by-step explanation:

CORRECT OPTION IS :

The point (6,4) lies on the graph and indicates that 6 dozen of cookis can be made from 6 cups of sugar

Answer:

In 4 years = $1,893.72

In 16 years = $3,810.53

years to contain $2,000 = 4.9371454128

years to contain $2,500 = 8.766692911

Step-by-step explanation:

In 4 years

A = 1,500 (1 + 0.06)^4

  = $1,893.72

In 16 years

A = 1,500 (1 + 0.06)^16

   = $3, 810.53

to find number of years

t = ln (A/P) / ln (1+r)

when A = 2,000

t = ln(2,000/1,500) / ln(1+0.06)

 = 4.9371454128 years

when A = 2,500

t = ln(2,500/1,500) / ln(1+0.06)

 = 8.766692911 years

PS: You can also use log in place of ln

The number of years it will take for the account to contain $2000 is 4.94 years while it will take 8.77 years to contain $2500.

Let:

PV = Present value = $1,500

r = Interest rate = 6%, or 0.06

n = number of years

FVn = Future value after a certain number of years

Therefore, we have:

The amount that will be in the account in four years can be calculated using the future value (FV) formula as follows:

FV4 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^4 = $1,893.72

Therefore, the amount that will be in the account in four years is $1,893.72.

The amount that will be in the account after 16 years can also be calculated using the future value (FV) formula as follows:

FV16 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^16 = $3,810.53

Therefore, the amount that will be in the account after 16 years is $3,810.53.

The number of years will it take for the account to contain $2000 can be calculated using the following formula:

n = (log(FV/PV)) / (log(1+r)) = (log($2,000/$1,500)) / (log(1+0.06)) = 0.1249387366083 / 0.0253058652647703 = 4.94 years

Therefore, the number of years it will take for the account to contain $2000 is 4.94 years.

The number of years it will take for the account to contain $2500 can be calculated using the following formula:

n = (log(FV/PV)) / (log(1+r)) = (log($2,500/$1,500)) / (log(1+0.06)) = 0.221848749616356 / 0.0253058652647703 = 8.77 years

Therefore, the number of years it will take for the account to contain $2000 is 8.77 years.

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Answer:

Step-by-step explanation:

form. Meaning you need make both fractions improper

Answer:

The first option, V ≈ 1607.7 in²

Step-by-step explanation:

Find the volume of the given cylinder.

\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)

Given:

r = 8 in

h = 8 in

π = 3.14

Find:

V = ?? in³

\(\hrulefill\)

Now solving,

Substitute the given values into the formula:

=> V = (3.14)(8)²(8)

Using a calculator to simplify:

=> V = 1607.68 in²

Rounded to the nearest tenth:

∴ V ≈ 1607.7 in²

Thus, the first option is correct.

Answer:

C

Step-by-step explanation:

A dilation is either an increase or a decrease the scale factor is what determines what is and whatever the scale factor is you multiply it by the length or width of the square since it's a square it does not matter bc all the sides are equal

An7999678909879007667900

The instructions that you would include in your explanation are:

Identify the output.

Create a table for four input values.

Plot the points from the table.

In the given question, a series of instructions are provided. To properly explain your process, you have to explain how you got the output. There is no need of explaining the input as they are already provided.

Next, you will Show how you created the table and why you created it in that way. Finally, indicate how the points were plotted on the table. An explanation such as this will help anyone to follow through.

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Answer:1 to 2

             2 to 4

Step-by-step explanation:

Simplifying

12x + -18 = 90

Reorder the terms:

-18 + 12x = 90

Solving

-18 + 12x = 90

Solving for variable 'x'.

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Move all terms containing x to the left, all other terms to the right.

Add '18' to each side of the equation.

-18 + 18 + 12x = 90 + 18

Combine like terms:

-18 + 18 = 0

0 + 12x = 90 + 18

12x = 90 + 18

Combine like terms:

90 + 18 = 108

12x = 108

Divide each side by '12'.

x = 9

Hence,

    x = 9

Hope this helps! <3

Answer:

1) x = 3

2) x = 9

3) x = 30

hope it's helpful ❤❤❤❤

THANK YOU.

Answer:

A, C

B, A

C, C

Step-by-step explanation:

A, take 33-9 then you get 24, divide 24 by 8 and get 3

B,  re-wright X/3 to X over 3, then subtract 5 from 8, you're left with 3, now find what X has to equal to make 3, X=9

C, same concept as the last one

Answer:

The answer is no.

Step-by-step explanation:

8/18 equals 4/9 and not 1/3.

Since the first 2 x and y values are proportional, the last one is not, meaning x and y are not proportional.

Answer:

ITS no not yes

1/3 and 1/3 are the same thing

y is 3 times the amount of x

BUT 8/18 DOESNT EQUAL 1/3 SO THEY TRIED TO TRICK YOU

Answer:

The photo isn't clear repeat it again

Answer:

141 in²

Obviously don't write 141 in² because they've already wrote the in² part for you