Carrie sewed a square blanket with an area of 225 in^2
What is the length of each side of the blanket?
A. 56.25 in
B. 15 in
C. 112.5 in
D. 10 in

Answer:A. 3 inches

Step-by-step explanation: :)

Answer:

b and c

Step-by-step explanation:

1. Volume of the Container: 1000 = l * b * h

2. Surface Area = 2(lw + lh + bh)

3. For the rectangular base container, the dimensions for the surface area to be a minimum will be the ones that satisfy the condition: l = 2b

1. Rectangular Base Container:

To sketch a rectangular base container that holds exactly one liter of liquid, we can assume the length of the rectangular base as 'l' and the breadth as 'b'. According to the given specifications, the length of the rectangular base must be twice the breadth.

Sketch:

       --------------------

      |                    |

      |                    |

      |                    |

      |        l           |

      |                    |

      |                    |

      ----------------------

                 bVolume of the Container:

The volume of a rectangular prism is calculated by multiplying the length, breadth, and height. In this case, the height will represent the depth of the container.

Volume = l * b * h

Since we want the container to hold exactly one liter of liquid, which is equivalent to 1000 cubic centimeters, we have:

1000 = l * b * h

2. Surface Area of the Container:

The surface area of a rectangular prism can be calculated using the formula:

Surface Area = 2(lw + lh + bh)

In our case, the lid of the container is also included in the surface area calculation.

Dimensions for Minimum Surface Area:

3. To determine the dimensions for the container's surface area to be a minimum, we can use calculus and find the critical points. In this case, we need to minimize the surface area formula by differentiating it with respect to one variable, setting it equal to zero, and solving for that variable.

For the rectangular base container, the dimensions for the surface area to be a minimum will be the ones that satisfy the condition:

l = 2b

Substituting this value into the surface area formula, we can find the minimum surface area for a given volume of one liter.

By solving the equation for the surface area with respect to 'b' and substituting the result into the volume equation, we can find the exact dimensions of the container to satisfy the given conditions.

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Answer:

Rhombuses

Step-by-step explanation:

It has four vertical lines, then draw a Venn Diagram, opposite to opposite.

Order from Venn Diagrams:

Quadrilaterals

Rectangles

Squares

Rhombuses.

Answer:

12 crew members I think hope this helps :)

Step-by-step explanation:

☁️ Answer ☁️

12.

(66 2/3)

---------- (x) = 8

100

Solve for x

(66 2/3)x = 800

x = 800/(66 2/3)

x = 800/(200/3)

x = 800(3/200)

x = 4(3)

x = 12

Here's the link: https://www.wyzant.com/resources/answers/286307/a_crew_is_made_up_of_8_men_the_rest_are_women_66_2_3_are_men_how_many_people_are_in_the_crew

Hope it helps.

Have a nice day noona/hyung.

Answer:

y = 3x - 4

Step-by-step explanation

If the line is perpendicular, then it means that the slope will be opposite. So if it's -1/3 then it will become 3.

y = 3x + b

-1 = 3(1) + b

-1 = 3 + b

-4 = b

The equation is y = 3x - 4

Answer:

Step-by-step explanation:

B i took that same quiz

The measure of the angle should be 170° as this angle looks like an obtuse angle.

Hope that helps!

Answer:

Simplified : 1:3

Step-by-step explanation:

7:21 is equal to 1:3

Also, for algebra tips. Algebra is literally practice. There aren't too many complicated equations or anything until you get into a higher math class so practicing problems is best.

Answer:

7:21 = 1:3

Tips for algebra...

just know the basics and related rules or theorams and practice as much as u can

good day mate

Answer:

x = 7.875

Step-by-step explanation:

Let the number = x

When a number is multiplied by 5 before subtracting from 78 the result obtained is the same as three times the sum of the number and 5 find the number

Hence,

78 -(x × 5) = 3(x + 5)

Expand the brackets

78 - 5x = 3x + 15

Collect like terms

78 -15 = 3x + 5x

63 = 8x

x = 63/8

x = 7.875

The random variable x is uniformly distributed between 10 and 20. To compute the probability of 10 ≤ x ≤ 15, Hence, the probability of 10 ≤ x ≤ 15 is 0.5.

Since x is uniformly distributed between 10 and 20, the probability density function (PDF) of x is a constant within this range. The PDF is given by the reciprocal of the range, which in this case is 1/10.

To find the probability of 10 ≤ x ≤ 15, we need to calculate the area under the PDF curve between 10 and 15. Since the PDF is constant, the area under the curve corresponds to the proportion of the total range that falls within this interval.

The width of the interval 10 ≤ x ≤ 15 is 15 - 10 = 5. The total range of x is 20 - 10 = 10. Therefore, the proportion of the total range that falls within the interval is 5/10 = 0.5.

Hence, the probability of 10 ≤ x ≤ 15 is 0.5. This means that there is a 50% chance that a randomly chosen value of x will fall within the interval from 10 to 15.

It is important to note that in a uniform distribution, the probability of any subinterval within the range is proportional to the width of that subinterval. In this case, since the subinterval 10 ≤ x ≤ 15 has a width of 5 out of the total range of 10, the probability is 0.5 or 50%.

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Answer:

first one is 432

Step-by-step explanation:took the test and got it right

The height and depth of locker is 40 inch and 5 inch.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

As per the known fact, volume of rectangle is calculated by multiplying the entities width, height and depth. Let us assume the depth be d.

So, the height is 4d. Keep the values in formula to find the value of depth.

10800 = 12 × d × 4d

4d² = 10800 ÷ 12

Performing Division

4d² = 900

d² = 900 ÷ 4

Performing Division

d² = 225

d = ✓225

Taking square root

d = 15

The depth of locker is 15 inch.

So, the height = 4d

Height = 4 × 15

Performing multiplication

Height = 60 inch

Therefore, the depth and height of locker is 15 inch and 40 inch.

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complete question:

A locker in the shape of a rectangular prism has a width of 12 inches. Its height is four

times its depth. The volume of the locker is 10,800 cubic inches. Find the height and depth of the locker.

Height:

Answer: 47.5 or just 47

Step-by-step explanation: Well, to start, set up a ratio.

x / 50 = 95 / 100

95 * 50 is 4750

4750 / 100 is 47.5.

Now, it's asking how many questions he got correct. You can't get 47.5 questions correct, it should be a whole number. Now, I don't know how the rules work with that question, but it is like 47.

The required basis of the orthogonal complement is {(2, 1, 0), (3, 0, 1)}.

Given that the line spanned by (-1, 2, 3) in R3.

To find the basis of the orthogonal complement, we need to find the vector which is orthogonal to (-1, 2, 3).

Let x = (x1, x2, x3) be a vector in the orthogonal complement of the given line.

Then we have: (-1, 2, 3)·x = 0-1x1 + 2x2 + 3x3 = 0x1 = 2x2 + 3x3

Thus, every vector x in the orthogonal complement has the form x = (2x2 + 3x3, x2, x3) = x2(2, 1, 0) + x3(3, 0, 1)

Therefore, the set { (2, 1, 0), (3, 0, 1) } is a basis of the orthogonal complement of the line spanned by (-1, 2, 3) in R3.

This is because both these vectors are linearly independent, and every vector in the orthogonal complement of the given line can be written as a linear combination of these two vectors.

Hence, the required basis of the orthogonal complement is {(2, 1, 0), (3, 0, 1)}.

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Answer:

surface area = 544 cm²

Step-by-step explanation:

surface area = (16)(8 + 6 + 8 + 6) + (2)(8)(6) = 448 + 96 = 544 cm²

Answer:

7. 0.50980392

9. 12

10. 50

they amount of money are not the same

reason why;

the reason why its not the same is because 2x8x9=144 and 3x9x12=324 and the amount of money spent is different

The difference in price per cubic inch between the two sizes of cereal boxes is $0.0128.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The volume of the family-sized box of cereal is:

= 3 x 9 x 12

= 324 cubic inches

The volume of the regular-sized box of cereal is:

= 2 x 8 x 9

= 144 cubic inches

The price per cubic inch of the family-sized box is:

= 6 / 324

= 0.0185 dollars per cubic inch

The price per cubic inch of the regular-sized box is:

= 4.50 / 144

= 0.0313 dollars per cubic inch

The difference in price per cubic inch is:

= 0.0313 - 0.0185

= 0.0128 dollars per cubic inch

Therefore,

The difference in price per cubic inch between the two sizes of cereal boxes is $0.0128.

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The absolute maximum value of the function on the interval [-3, 1] is approximately 28.97, and the absolute minimum value is approximately 3.84.

To find the absolute maximum and minimum values of the function f(x) = 31/3 - 3x2/3 on the interval [-3, 1], we need to evaluate the function at its critical points and endpoints.

First, let's find the critical points by taking the derivative of the function:

f'(x) = (2/3)(31/3)(-3x^(-1/3)) = -2(31/3)(1/x^(1/3)) = -62/x^(1/3)

To find the critical points, we set f'(x) equal to zero and solve for x:

-62/x^(1/3) = 0

This equation has no solutions since the numerator is always non-zero.

Next, we evaluate the function at the endpoints of the interval:

f(-3) = 31/3 - 3(-3)^(2/3) ≈ 3.84

f(1) = 31/3 - 3(1)^(2/3) ≈ 28.97

Finally, we compare the values of the function at the critical points and endpoints to determine the absolute maximum and minimum:

Absolute maximum: f(1) ≈ 28.97

Absolute minimum: f(-3) ≈ 3.84

Therefore, the absolute maximum value of the function on the interval [-3, 1] is approximately 28.97, and the absolute minimum value is approximately 3.84.

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Without changing the value, Marcus can add 3 positive counters and 3 negative counters. Option d is correct.

To determine the difference -8 - 3 (+3), Marcus wants to use a model with counters. He starts with 8 negative counters, and in order to add 3 positive counters without changing the value, he can add 3 positive counters and 3 negative counters.

By adding 3 positive counters, he is increasing the value by 3. However, since he wants to maintain the same value, he also needs to add 3 negative counters. This ensures that the net change in value remains zero.

So, by adding 3 positive counters and 3 negative counters to the model, Marcus can represent the difference -8 - 3 (+3) without changing the overall value. Therefore, d is correct.

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Answer:

x=4

Step-by-step explanation:

so there are two triangles in that shape and they are similar to each other because their angles are equal and the ratio of their sides it 1:2

so the ratio of the side 5x & 40 is 1:2

5x/40=1/2

10x=40

x=4

Answer:

See attachment

Step-by-step explanation:

Given

[tex]Side\ 1 = 10cm[/tex]

[tex]Side\ 2 = 12cm[/tex]

[tex]\theta = 90^\circ[/tex]

Required [Missing from the question]

Draw the top of the cake

See attachment for reference.

From the attachment,

[tex]2cm = 1\ unit[/tex]

So:

[tex]Side\ 1 = 10cm[/tex]

[tex]Side\ 1 = 5 * 2cm[/tex]

Substitute [tex]2cm = 1\ unit[/tex]

[tex]Side\ 1 = 5 * 1unit[/tex]

[tex]Side\ 1 = 5\ units[/tex]

[tex]Side\ 2 = 12cm[/tex]

[tex]Side\ 2 = 6 * 2cm[/tex]

Substitute [tex]2cm = 1\ unit[/tex]

[tex]Side\ 2 = 6 * 1unit[/tex]

[tex]Side\ 2 = 6\ units[/tex]

This means that, the given side lengths will be represented by 5 units and 6 units on the grid, respectively.

See attachment for drawing

Answer:

You add (9+3)

Step-by-step explanation:

because PEMDAS evaluates the parenthesis first,

Answer:

It' B

Step-by-step explanation:

I got a 100 on the test

Answer:

hope this helps you out question 4 and 3 are the same

Answer:

2. 95

3. 85

4. 95

Step-by-step explanation:

Mark me brainliest? :)

Answer:

...

Step-by-step explanation:

remeber that for every angle they give you, you need to subtract 90 from it to get the answer.

Answer:

10 years

Step-by-step explanation:

Simple interest formula:

AV=PV(1+it)

13200=8000(1+.065t)

1.65=1+.065x

.65=.065x

10=x

Answer: 234 - 40 = 2x

              194 = 2x

              97 = x

x being the amount Trey had before mowing lawns

According to the Capital Asset Pricing Model (CAPM), A) the expected rate of return on a security increases in direct proportion to a decrease in the risk-free rate is the false statement.

According to the Capital Asset Pricing Model (CAPM), the expected rate of return on a security increases in direct proportion to an increase in the risk-free rate. Therefore, the statement that "The expected rate of return on a security increases in direct proportion to a decrease in the risk-free rate" is false.

The Capital Asset Pricing Model (CAPM) is a model that shows the relationship between risk and expected return and is used to calculate the expected return on an investment.CAPM is based on several assumptions, one of which is that investors are rational and risk-averse.

Another assumption is that the market is in equilibrium, meaning that supply equals demand for all securities. The model also assumes that investors have homogeneous expectations of future returns and that there are no taxes or transaction costs.CAPM states that the expected rate of return on an asset is a function of the risk-free rate, the expected market return, and the asset's beta.

Beta is a measure of the asset's volatility compared to the market. If an asset has a beta of 1, it is as volatile as the market. If it has a beta of less than 1, it is less volatile than the market, and if it has a beta of more than 1, it is more volatile than the market.

Therefore, according to CAPM, the expected rate of return on a security increases as its beta increases.In equilibrium, all securities lie on the security market line, and a fairly priced security has an alpha of zero.

Therefore, options B, C, and D are true, and the answer is option A, "The expected rate of return on a security increases in direct proportion to a decrease in the risk-free rate."

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