Are the expressions 3(x + y) + 2y + 10 and x + 5y + 2(x + 5) equivalent?
.



PLEASE HURRY.

SHOW WORK

Answers

Answer 1

Answer: x^5/x^1 = x^4

y^2/y^2 = 1

so

x^4

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Related Questions

Add f(x)=2x^3 and g(x) = log(x+4) + 100

Answers

The sum of the given function is  2x^3 +  log(x+4) + 100

Sum of functions

Given the following functions

f(x)=2x^3 and;

g(x) = log(x+4) + 100

Take the sum of the functions

f(x) + g(x) = 2x^3 +  log(x+4) + 100

Hence the sum of the given function is  2x^3 +  log(x+4) + 100

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CONTAINER SPECIFICATIONS: • Each container must hold exactly one litre of liquid. Each container must have a minimum surface area. The surface area of each container must include the lid. The length of the rectangular base must be twice the breadth. The triangular container must have an equilateral base. TASK 1 Rectangular base container: CONTAINER A Sketch a rectangular base container with dimensions to hold exactly one litre of liquid. Clearly show your dimensions on your diagram. 1. Calculate the volume of this container in terms of above dimensions. 2. Calculate the surface area of the container in terms of above dimensions. 3. Calculate the value of the dimensions for this container for the surface area to be a minimum?

Answers

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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Which is the measure of the angle shown on the protractor?

Answers

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

Hope that helps!

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

Answers

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

what is the equation of a line perpendicular to y=-1/3x+1 and passes through the point (1,-1)

Answers

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

The opposite of -1/3 is 3 so 3 is the slop
-1 = 3(1) + b
-1 - 3 = 3 - 3 + b
-4 = b

Help ASAP please and thanks

Answers

Answer: 234 - 40 = 2x

              194 = 2x

              97 = x

x being the amount Trey had before mowing lawns

Worth five points! it doesnt tell me if what answer is right but if i get 75% or up i will mark the first person who answered with an actual answer brainliest and i don't lie about brainliest!! Please no nonsense answers I just want help :(

The measures of two angles in ABC are 56 and 72.

What is the measure of A?

A. 32

B. 42

C. 52

D. 62

Answers

It will be 52 as you know when looking at a triangle with 3 angles they must all add up to 180 so you simply do 56+72 then subtract 180 from it and you get 52.

let be the line spanned by -1 2 3 in . find a basis of the orthogonal complement

Answers

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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1. GASOLINE The table gives the cost of a gallon of gasoline at two stations. How much more does gasoline cost at Gas For Less than at Cut-Rate? Cut-Rate 2.x + 3.5 Gas for less V12​

Answers

Answer:

GASOLINE The table gives the cost of a

gallon of gasoline at two stations.

How much more does gasoline cost at

Gas For Less than at Cut-Rate?

Step-by-step explanation:

The tip of the second hand travels around the edge of the face of a clock. How far does the tip of the second hand travel
between the 6 and the 12, if the length of the second hand is 6 inches?
Arc length
Recall that Circumference
- 360°
3 inches
O 6 x inches
12 x inches
0 24 inches

Answers

Answer:A. 3 inches

Step-by-step explanation: :)

Answer:

b and c

Step-by-step explanation:

Can someone please solve these equations help your boy out no files no links

Answers

Answer:

7. 0.50980392

9. 12

10. 50

!!PLS HELP I WILL GIVE BRAINLEST!!
A family-sized box of cereal with dimensions 3x9x12 inches costs $6, while the regular size with
dimensions 2 x 8 x 9 inches costs $4.50. What is the diference in price per cubic inch?

Answers

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.

What is an expression?

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 top of the cake to be triangular with one side length 10cm, one side length 12cm and a 90-degree angle between these sides

Answers

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

A locker is in the shape of right rectangular prism. Its dimensions are as shown. What is the surface area of this locker?
a.412
b.392
c.432
d.448
The height of the right circular cylinder shown below is 10 feet and its base has a radius of 4 feet.


what is the surface area of the cylinder in terms of pi?
a.96
b.118
c.112
d.128

Answers

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.

What is volume?

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:

According to the Capital Asset Pricing Model (CAPM), which one of the following statements is false?
a• The expected rate of return on a security increases in direct proportion to a decrease in the risk-free rate.
b• The expected rate of return on a security increases as its beta increases.
c• A fairly priced security has an alpha of zero.
d• In equilibrium, all securities lie on the security market line.

Answers

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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Please answer^^ I will give you brainlist!
Yes 5th grade math :clown face:

Answers

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.

in 50 item test nestor got 95% correctly. how many correct answers did he get​

Answers

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.

8) A crew is made up of 8 men; the rest are women. 66% of the crew are men. How many people are in the crew?​

Answers

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.

Marcus wants to use a model to determine the difference − 8 − 3 ( + 3 ) -8-3+3. He starts with 8 negative counters. He wants to add 3 positive counters to the model without changing the value. How can he do that?

A. add 3 positive counters

B. add 3 positive counters and take away 3 negative counters

C. add 3 negative counters

D. add 3 positive counters and 3 negative counters

Answers

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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Manny invested $8,000 in an account that pays 6.5% simple
interest. Manny will not make any additional deposits or
withdrawals. How many years must the money stay invested for
before the investment has a balance of $13,200?​

Answers

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

Given the joint density f(x, y) = 1 for -y < x < y and 0 < y < 1, or 0 elsewhere, show that the random variables X and Y are uncorrelated but not independent.

Answers

The joint density f(x, y) = 1 for -y < x < y and 0 < y < 1, or 0 elsewhere, the variables X and Y are uncorrelated but not independent.

The problem requires the determination of whether the random variables X and Y are independent and uncorrelated. For that, the expectation of the product of X and Y is needed. Evaluating E(XY). For the two variables X and Y, their joint density is given as:

f(x, y) = 1 for -y < x < y and 0 < y < 1, or 0 elsewhere

To evaluate the expectation of XY, multiply the variables X and Y as follows: E(XY) = ∫∫xy f(x,y) dy dx.

We evaluate the above equation over the range of the variables.

Since the domain of the density function is given by -y < x < y and 0 < y < 1, E(XY) = ∫∫xy f(x,y) dy dx = ∫0¹ ∫-[tex]y^{y}[/tex] xy dy dx

The above equation can be simplified as:

E(XY) = ∫0¹ (1/3)*y³ dy = 1/12

Hence the covariance between X and Y is given by: Cov (X, Y) = E(XY) - E(X)E(Y) = E(XY) = 1/12.

The variance of X is calculated as follows: E(X) = ∫∫xf(x, y) dy dx

For the two variables X and Y, their joint density is given as: f(x, y) = 1 for -y < x < y and 0 < y < 1, or 0 elsewhere.

Thus, E(X) = ∫∫x f(x, y) dy dx= ∫0¹ ∫-[tex]y^{y}[/tex] x dy dx= 0.

Hence, Var(X) = E(X²) - [E(X)]² = E(X²) - 0² = E(X²).

The variance of X² is calculated as follows:

E(X²) = ∫∫x² f(x, y) dy dx. For the two variables X and Y, their joint density is given as: f(x, y) = 1 for -y < x < y and 0 < y < 1, or 0 elsewhere.

Thus, E(X²) = ∫∫x² f(x, y) dy dx= ∫0¹ ∫-[tex]y^{y}[/tex] x² dy dx= 1/3

Hence, Var(X) = E(X²) - [E(X)] ² = 1/3 - 0 = 1/3

The variance of Y² is calculated as follows: E(Y²) = ∫∫y² f(x, y) dy dx

For the two variables X and Y, their joint density is given as: f(x, y) = 1 for -y < x < y and 0 < y < 1, or 0 elsewhere. Thus, E(Y²) = ∫∫y² f(x, y) dy dx= ∫0¹ ∫-[tex]y^{y}[/tex]y² dy dx= 1/3

Hence Var(Y) = E(Y²) - [E(Y)]² = 1/3 - [E(Y)]²

The covariance between X and Y is given by: Cov (X, Y) = E(XY) - E(X)E(Y) = 1/12 - 0 = 1/12.

We can evaluate the correlation between X and Y as: Corr (X, Y) = Cov (X, Y) / √Var (X) Var(Y)= (1/12) / [(1/3) * (1/3)] = 1/4

Thus, the variables X and Y are uncorrelated but not independent.

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Using the order of operations, what should be done first when evaluating this expression?

Negative one-half divided by 2 (9 + 3) minus 4 minus three-fourths (8)
Divide Negative one-half divided by 2.
Add 9 + 3.
Multiply Negative three-fourths (8).
Subtract 3 minus 4.

Answers

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

Help this is clever 8.4 I need this by 7

Answers

Answer:

Just do 8.4 times 7

Step-by-step explanation:

8.4 times 7 = 58.8

I don’t understand what to do

Answers

Answer:

2. 95

3. 85

4. 95

Step-by-step explanation:

Mark me brainliest? :)

Simplify the ratio 7:21.
(OLD HW!!)
(TIPS FOR ALGEBRA TO PLS ^^)

Answers

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

What is the midpoint of line segment RS with endpoints R(5, -10) and S(3, 6)?

Answers

Answer:

(4, -2)

Step-by-step explanation:

The midpoint of two points is found by averaging the X coordinates and averaging the Y coordinates to create a new pair.

X: (5+3)/2     = 4

Y: (-10+6)/2   = -2

Answer:

(4,-2)

Step-by-step explanation:

add the x and divide by two. do the same with the y. this is the same as finding the average

Please help ! 13 points

Answers

Answer:

...

Step-by-step explanation:

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

PLSS HELP IMMEDIATELY!!! i’ll give brainiest if u don’t leave a link!

Answers

Answer:

Step-by-step explanation:

B i took that same quiz

Evaluate 2m if
m = 7.2

Answers

M= 7.2
2M= 2 x 7.2
2M= 14.4


The random variable x is known to be uniformly distributed
between 10 and 20.
a. Compute P( 10 ≤ x ≤ 15)

Answers

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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