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Sixth grade

FF.21 Relate volume andsurface area HVU

The surface area of this cube is 54 square meters. What is the volume?

cubic meters

Submit pls help

Answer: Length = 9 in

Width = 12 in

Step-by-step explanation:

Length L = 3 + W

Perimeter P = 42 in

Perimeter = 2L + 2W

plugin values:

42 = 2(3 + W) + 2W

42 = 6 + 2W + 2W

42-6 = 4W

W = 36 / 4

W = 9  

solve L by substituting the value of W=9 into the equation:

L = 3 + W

L = 3 + 9

L = 12

therefore, the dimensions of the rectangle:

               Length = 9 in

               Width = 12 in

Answer:

Answer:

length = 9 in

width = 12 in

Step-by-step explanation:

You have to use the formula for the perimeter of a rectangle

P=2(l+w)

Step-by-step explanation:

\( \frac{3}{4} = \frac{w}{28}\)

\( \frac{3}{4} = \frac{w}{4 \times 7} \)

\(3 = \frac{w}{7} \)

\(w = 21\)

Answer:

Step-by-step explanation:

Answer:

A^n = [4^n 4^n

0 1]

Step-by-step explanation:

To find the solution for the 2x2 matrix A:

[4 4

0 1] to the nth power = [ ]

We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:

A^1 = [4 4

0 1]

Now, let's solve for A^2 by multiplying A^1 by A:

A^2 = A x A^1

= [4 4 [4 4

0 1] 0 1]

= [16 16

0 1]

Next, let's solve for A^3:

A^3 = A x A^2

= [4 4 [16 16

0 1] 0 1]

= [64 64

0 1]

We can see a pattern emerging:

   A^1 = [4 4

   0 1]

   A^2 = [16 16

   0 1]

   A^3 = [64 64

   0 1]

We can generalize this pattern as follows:

A^n = [4^n 4^n

0 1]

Therefore, the solution for the 2x2 matrix A raised to the nth power is:

A^n = [4^n 4^n

0 1]

Answer:

\( \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ \)

by using Pythagoras law:

h²=p²+b²

6²=x²+3²

x²=36-9

x=√27 units

Answer:

90 degrees

Step-by-step explanation:

its a 45-45-90 triangle

Answer:

7 sheets of paper

Step-by-step explanation:

$40-$19=$21

$21/$3=7 sheets of paper.

In words:

I did 40 minus 19 to get 21, and the divided 21 by 3 to get 7 sheets of paper.

A and B are subsets of S.

Set A = contains 27 elements

Set B = contains 91 elements

A y B have 9 elemts in common

Now, to find the total elements in (Aor B), we use:

Total elements in (AorB) = Elements in A + Elements in B - (Elements in A&B)

Replacing the values:

Total elements in (AorB) = 27 + 91 - 9

Total elements in (AorB) = 109

To find the total elements in S:

S (total elements) = (element in AorB) + (elements not in A or B)

Replacing the values:

S (total elements) = 109 + 28

S (total elements) = 137

Hence, there are 137 elements in the universal set S.

\(6 sin² x + 4 cos²x = Stanx\)

\(Correct option is B)

Given, 4cos2x+6sin2x=5

\)

\(⇒4cos2x+4sin2x+2sin2x=5

⇒2sin2x=1⇒sin2x=21=(21)2

⇒x=nπ±4π

\)

\(~~~~~~6 \sin^2 x + 4 \cos^2 x = 5 \tan x \\\\\implies 3 \cdot 2\sin^2 x + 2 \cdot 2 \cos^2 x = 5 \tan x\\ \\\implies 3(1- \cos 2x ) + 2( 1 + \cos 2x) = 5 \tan x\\\\\implies 3 - 3 \cos 2x +2 +2 \cos 2x = 5 \tan x\\\\\implies 5- \cos 2x = 5 \tan x\\ \\\implies 5 - \left(\dfrac{1- \tan^2 x}{ 1+ \tan^2 x} \right)=5 \tan x\\\\\implies \dfrac{5+5 \tan^2x -1 + \tan^2 x}{1+ \tan^2 x} = 5 \tan x\\\\\implies 4 + 6\tan^2 x = 5( \tan x)(1+ \tan^2 x)\\\\\implies 4 +6\tan^2 x = 5 \tan x + 5 \tan^3 x\)

\(\implies 5\tan^3 x -6 \tan^2 x+5 \tan x-4=0\\\\\implies 5 \tan^3 x - 5 \tan^2 x - \tan^2x + \tan x+ 4\tan x -4=0 \\\\\implies 5\tan^2 x(\tan x-1) -\tan x(\tan x-1) +4(\tan x-1)=0\\\\\implies ( \tan x - 1)( 5 \tan^2 x- \tan x +4) =0\\\\\implies \tan x =1\\\\\implies x = n \pi+ \dfrac{\pi}4\)

C=25x+75 would be the equation

Step-by-step explanation:

75 dollars is the flat out fee right away and the 25 is for how many hours spent fixing the drain

Answer:

9.85

Step-by-step explanation:

1.42 + 8.43 = 9.85

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Let's solve ~

correct answer - 9.85

Answer:

1.99%. (2% rounded)

Step-by-step explanation:

The total number of ways to select 4 children out of 40 is given by the combination formula:

C(40,4) = 40! / (4! * (40-4)!) = 91,390

The number of ways to select 4 girls out of 16 is given by the combination formula as well:

C(16,4) = 16! / (4! * (16-4)!) = 1,820

Therefore, the probability of selecting 4 girls out of the group of 40 children is:

P(4 girls) = C(16,4) / C(40,4) = 1,820 / 91,390 ≈ 0.0199 or 1.99%

So the probability that all 4 helpers will be girls is approximately 1.99%

Hope this helps!.

The distance between points R and S is  \(\sqrt{ (185)\). The correct answer is D. She made no errors.

Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:

RS = √(-4) (-3))² + (7 − 5)²

= √(-1)² + (2)²= √1 + 4

= √5

The error is with the order of subtraction in the formula for the distance between two points.

Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.

The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;

dAB = \(\sqrt{  ((x^2 - x1)^2 + (y2 - y1)^2)\)

Comparing the given question with the formula above, we have;

A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.

Therefore, we have;

RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)

On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS

= \(\sqrt{ (8^2 + 11^2)RS\)

= \(\sqrt{ (64 + 121)RS\)

= \(\sqrt{ (185)\)

Therefore, the distance between points R and S is  \(\sqrt{ (185)\).

From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.

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Answer:

True we put them in a box and take them out and substitute them for wrap paper

into the equation. The findings for x are the new wrapping paper of y that was cancelled and the answer for the each is x to be substituted for y as that is first cancelled.

The answer is substituted for y when x is cancelled at start line of each set.

Could represent how the wrapping paper is opposite variable to what was taken away at point of cancelation. This is before subtraction of the remainder to the total for each so the last two steps are finding a gift wrap for the first cancelation so y cancelled = x substitution.

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer:

If point A is to the left of point B, point A is less than B. Therefore, the values of point A and B could be:

A = 7 and B = 9

A = -8 and B = -5

A = -10 and B = 2

Because 7 is less than 9, -8 is less than -5, and -10 is less than 2.

Step-by-step explanation:

A Scatter Analysis is used when you need to compare two data sets against each other to see if there is a relationship. Scatter plots are a way of visualizing the relationship; by plotting the data points you get a scattering of points on a graph.

Answer:

2.5

Step-by-step explanation:

the length has increased by 7.5/3 = 2.5.

so the scale factor is 2.5

The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.

The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.

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Answer:

Below

Step-by-step explanation:

Find unit rate (since it starts at 0,0)

at 45 seconds  it is 900 bottles

             900 bottles / 45 seconds = 20 bottle / sec

20 bottles / sec * 80 sec = 1600 bottles

The number line that shows the solutions of x < 5

A number line is a visual representation of the real numbers, ordered from left to right, with zero in the middle. It is typically a straight line that extends infinitely in both directions, with evenly spaced markings that represent specific points along the line.

The solution of x < 5 should consist of number less than 5

The inequality used is less than and hence should have values saying less than

Other options has numbers more than 5 such as 6 except option B

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Answer:

add sum of all the angle given

Answer:

$328.74

Step-by-step explanation:

The area of the counter is 2 meters^2. It is 164.37 per square meter so 164.37*2 = $328.74

Answer:

this looks to be right to me

Answer:

Yes u are correct

Step-by-step explanation:

good job

A. False. The first part of the statement is true, but the second part is not. The sample mean is not always equal to the population mean. The sample mean will vary (it's a random variable).

B. True. The larger the sample, the better the estimate. Ideally we would take a census, but that is often too costly. The next best thing is to select a sample that is of the proper size.

C. True. Consider a normal distribution with mean mu and standard deviation sigma. The distribution of sample means, aka xbar distribution, will have mean mu and standard deviation sigma/sqrt(n), where n is the sample size. We see that sigma/sqrt(n) is smaller than sigma. This tells the xbar distribution is much taller and more narrow compared to the normal distribution.

Answer:

2/3

Step-by-step explanation:

360 - 240 = 120

120 x 3 = 360

if 120 is 1/3 of 360, then 240 is 2/3 of 360

(disregard the zeros you don't need them)

Answer:

$15.48

Explanation:

100 ÷ 6.46 = 15.479876

Answer:

because the first one isn't the exact same as the second it equals something different and if u think about it it wouldn't look the exact same but in the front of the small one only has one and the first one has two

The end of the year cash balance based on the information is 1,990

What is year-end cash balance?

The year-end cash balance is the cash balance at the disposal of the firm at the end of the year after having added cash inflows to the beginning  cash balance and deducted cash outflows.

In other words, the year-end cash balance is the sum of the beginning cash balance and cash inflows such as net income and increase in long-term debt(borrowing cash, increases cash balance) and we need to deduct outflows such as acquisition of PP&E and dividends

operating cash flow=net income+ depreciation+ Increase in accounts payable

operating cash flow=300+140+60

operating cash flow=500

year-end cash balance=beg. balance+ operating cash flow+/(-)financing cash flow+/(-)investing cash flow

year-end cash balance=2000+500-580-130+200

year-end cash balance=1,990

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