Which equations are true equations? Select all correct answers. Responses 56÷8+32=2⋅23 56 divided by 8 plus 3 squared equals 2 times 2 cubed 2422=50−62−8 24 over 2 squared equals 50 minus 6 squared minus 8 82−52=42−7 8 squared minus 5 squared equals 4 squared minus 7 39−3⋅6=6⋅104+4

The portfolio weights for stock A and stock B are approximately 55.69% and 44.31%, respectively.

To calculate the portfolio weights for stock A and stock B, we need to determine the total value of the portfolio and the proportion of each stock's value within that total.

The total value of the portfolio can be calculated as follows:

Total value = (Number of shares of stock A × Price per share of stock A) + (Number of shares of stock B × Price per share of stock B)

Total value = (135 × $84) + (110 × $82)

Total value = $11,340 + $9,020

Total value = $20,360

Now, we can calculate the portfolio weights for each stock:

Weight of stock A = (Value of stock A ÷ Total value) × 100%

Weight of stock A = (($84 × 135) ÷ $20,360) × 100%

Weight of stock A = $11,340 ÷ $20,360

Weight of stock A ≈ 0.5569 or 55.69%

Weight of stock B = (Value of stock B ÷ Total value) × 100%

Weight of stock B = (($82 × 110) ÷ $20,360) × 100%

Weight of stock B = $9,020 ÷ $20,360

Weight of stock B ≈ 0.4431 or 44.31%

Therefore, the portfolio weights for stock A and stock B are approximately 55.69% and 44.31%, respectively.

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There is only 1 power of 7 contained in 10.

Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.

Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.

The digit in the tens place is the same.

The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.

The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.

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There is only 1 power of 7 contained in 10.

Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.

Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.

The digit in the tens place is the same.

The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.

The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.

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Answer:

8. the length is 88/5cm or 17.6cm

Step-by-step explanation:

8.perimeter =2L + 2W

when you convert the width 42/5 = 8.4

so 52 = 2L + 2*8.4

52= 2L + 16.8

52 - 16.8 = 2L

35.2 = 2L

divide both sides by 2

L = 17.6cm

The equation of a line is written as y =Mx + b, where m is the slope and b is the y intercept, which is the y value when x = 0.

You are told the slope is -1/4, so replace m with -1/4. You are also given the point (0,0) which means when x is 0, y is also 0, so replace b with 0.

The equation becomes y= -1/4x + 0

Because y is 0 you aren’t adding anything to the equation so you can remove it from the equation.

Answer is y = -1/4x

Answer:

Step-by-step explanation:

-4x+2y=8

2y=8+4x

y=\(\frac{8+4x}{2}\)

y=\(\frac{2(4+2x)}{2}\)

y=4+2x  

proved

To compare moral reasoning skills of younger and older children, Professor Hauten tested and retested a group of children from the time they were 4 until they reached the age of 12. The professor conducted a A. longitudinal study.

This is because the researcher studied the same group of children over a period of time. Longitudinal study is a type of research design used in psychology and social sciences in which the same individuals or group of people are studied repeatedly over a period. It is one of the most effective ways to investigate developmental changes occurring in a group over time.

An example of a longitudinal study is a study of child development, where researchers might track children’s development over several years. Through longitudinal studies, researchers can assess the stability of individual differences over time, the effects of aging on behavior, or how different variables might interact over time.

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Let b = {b1, b2} and c = {c1, c2} be bases for a vector space V. To determine if the set {b1 + c1, b2 + c2} is also a basis for V, we need to examine its linear independence and span. If the set is linearly independent and spans the vector space V, then it can serve as an alternative basis.

To check if the set {b1 + c1, b2 + c2} is a basis for the vector space V, we need to consider two properties: linear independence and span.

Linear Independence: We need to determine if the vectors b1 + c1 and b2 + c2 are linearly independent. This means that no linear combination of these vectors can yield the zero vector, except when all the coefficients are zero.

Span: We need to check if the vectors b1 + c1 and b2 + c2 span the entire vector space V. This means that any vector in V can be expressed as a linear combination of these vectors.

If the set {b1 + c1, b2 + c2} satisfies both conditions, then it can be considered a basis for the vector space V.

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1. Variable manufacturing overhead rate variance

The formula Actual Hours × (Actual Rate - Standard Rate) is used to calculate the variable manufacturing overhead rate variance. This variance measures the difference between the actual variable manufacturing overhead cost incurred and the standard variable manufacturing overhead cost that should have been incurred, based on the standard rate per hour.

Variable manufacturing overhead rate variance = Actual Hours × (Actual Rate - Standard Rate)

The variable manufacturing overhead rate variance provides insight into how efficiently a company is utilizing its variable manufacturing overhead resources in terms of the rate per hour. A positive variance indicates that the actual rate paid per hour for variable manufacturing overhead was higher than the standard rate, resulting in higher costs. On the other hand, a negative variance suggests that the actual rate paid per hour was lower than the standard rate, leading to cost savings.

By analyzing this variance, management can identify areas where the company may be overspending or underspending on variable manufacturing overhead and take corrective actions accordingly, such as renegotiating supplier contracts or optimizing resource allocation.

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The probability of two calls to be made in first quarter = 15/60 * (15/60) = 1/16

Probability of a call to happen within 6 minutes within each other is 6/60 = 1/10 = 0.1

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

A statistical function known as a probability distribution explains all the potential values and probabilities for a random variable within a certain range.

The uniform probability distribution is a distribution composed by two bounds, given by a and b, in which each possible outcome within these two bounds is equally as likely.

The probability that a call is made in the first quarter is 15/60

Now the probability of two calls to be made in first quarter = 15/60 * (15/60) = 1/16

Probability of a call to happen within 6 minutes within each other is 6/60 = 1/10 = 0.1

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Answer:

(a+1)(a+1) or (a+1)^2

Step-by-step explanation:

a^2+2a+1=(a+1)(a+1)

Please mark me as Brainliest if you're satisfied with the answer.

Answer:

4

__

13

Step-by-step explanation:

look up top for explanation

Answer:

Solve for Y:

Subtract 13x

from both sides of the equation.

y=4−13x

Solve for X:

Move all terms that don't contain x

to the right side and solve.

x=4/13−y/13

Step-by-step explanation:

i think?

The expression √180 * 2√30 is equivalent to the expression 60√6

An equation is an expression that shows the relationship between two numbers and variables.

The square root is a factor of a number that, when multiplied by itself, gives the original number.

Given the expression √180 * 2√30

Collecting like terms give:

= 2√(180 * 30)

Simplifying:

= 60√6

The expression √180 * 2√30 is equivalent to the expression 60√6

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The total number of individuals in the development area is 2240 kg/day.

The volume of waste produced by a single family per week is 0.91 containers/family

i) The total number of individuals in the development area is calculated as:
350 x 8 = <<350*8=2800>>2800

individuals' total waste produced by the development area is calculated as:

0.8 kg/capita/day x 2800 individuals = <<0.8*2800=2240>>2240 kg/day

Answer: 2240 kg/day

ii) Volume of waste produced by a single family per week is calculated as:

0.4 kg/person/day x 8 persons x 7 days = <<0.4*8*7=22.4>>22.

4 kg/week

The density of waste in each container is 210 kg/m3.

The volume of waste generated by each family each week is calculated as:22.4 kg/week ÷ 210 kg/m3 = 0.107 m3/family

The number of 118 L containers required for each family is calculated as:

0.107 m3/family ÷ 0.118 m3/container = <<0.107/0.118

=0.91>>0.91 containers/family (rounded to two decimal places)

Answer: 0.91 containers/family

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Answer: The value of b is 22.62

Step-by-step explanation: 20 is the opposite of b, 52 is the hypotenuse. Because we're given the opposite and hypotenuse, we have to use sine. So....

sin b=20/52

sin b = 0.38461538461

then using inverse of sine, the equation would be sin^-1(0.38461538461)

by putting that into the calculator you get 22.61986495 (aka 22.62)

Based on the triangle inequality theorem, if fd = 20 units and de = 52 units, the value of b is approximately 71 units.

To find the value of b, we can use the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.

In this case, we have fd = 20 units and de = 52 units. Let's assume that b is the length of the remaining side.

Using the triangle inequality theorem, we can write the following inequality:

fd + de > b

Substituting the given values, we get:

20 + 52 > b

72 > b

Therefore, the value of b must be less than 72 units.

To round the solution to the nearest hundredth, we can round down to the nearest whole number, which is 71.

So, the value of b is approximately 71 units.

In conclusion, based on the triangle inequality theorem, if fd = 20 units and de = 52 units, the value of b is approximately 71 units.

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Answer:

B (-11, 7) C (11, 7)

Step-by-step explanation:

No, the line x=1-2t, y=2+5t, z=-3t is not parallel to the plane 2x+y-z=8 as their dot product is not zero.

To determine if the line x = 1 - 2t, y = 2 + 5t, z = -3t is parallel to the plane 2x + y - z = 8, we can find the direction vector of the line and check if it is orthogonal to the normal vector of the plane.

The direction vector of the line is given by the coefficients of t in each component, which is (-2, 5, -3).

The normal vector of the plane is given by the coefficients of x, y, and z in the plane's equation, which is (2, 1, -1).

To check if the direction vector is orthogonal to the normal vector, we can take their dot product and see if it is zero:

(-2, 5, -3) * (2, 1, -1) = -4 + 5 + 3 = 4

Since the dot product is not zero, the direction vector of the line and the normal vector of the plane are not orthogonal, which means the line is not parallel to the plane.

The line x = 1 - 2t, y = 2 + 5t, and z = -3t is not parallel to the plane 2x + y - z = 8, hence the answer is no.

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On her first morning at Green Gables, Anne responds with a sense of wonder, enthusiasm, and a tendency to get caught up in her imaginative world.

In "Anne of Green Gables," the classic novel by Lucy Maud Montgomery, the main character Anne Shirley, commonly known as Anne with an "e," responds to the events on her first morning at Green Gables with a mixture of excitement, curiosity, and imagination.

When Anne first arrives at Green Gables, she is an imaginative and talkative young orphan who has been sent to live with siblings Matthew and Marilla Cuthbert. On her first morning at Green Gables, Anne wakes up to the realization that she is no longer at the orphanage but in a new home. She feels a surge of anticipation and is eager to explore and experience her new surroundings.

Anne's response to the events of her first morning is marked by her vivid imagination. She notices the beauty of nature around her, with blooming flowers, chirping birds, and the shimmering sunlight. She envisions the trees as friendly creatures welcoming her to Green Gables. She also notices a lovely cherry tree outside her window and is captivated by its beauty.

However, her day takes a turn when she accidentally breaks the slate over Gilbert Blythe's head during school. This incident leads to her fierce rivalry with Gilbert, which becomes a significant part of the story.

Her response to the events sets the stage for the many adventures and misadventures she experiences throughout the novel.

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Answer: The situation that is most likely to have a constant rate of change is option B: "The total amount paid for gas compared with the number of gallons purchased."

This is because the price of gas per gallon is usually constant, so the rate of change of the total amount paid for gas should be constant with respect to the number of gallons purchased. In other words, if you plot the total amount paid for gas against the number of gallons purchased, you would expect a straight line with a constant slope.

In contrast, the number of flowers in a flower bed compared with the area planted (option A), the distance a delivery truck travels compared with the number of deliveries made (option C), and points scored in a basketball game compared with the number of quarters played (option D) are less likely to have a constant rate of change because they can be affected by various factors such as weather, traffic, player performance, and so on.

Answer:

B.

Step-by-step explanation:

The value of the composite functions are found as: f(g(0)) = 3 and g(f(0)) = -6.

(a) f(g(0))

First, we need to find g(0).

To do that, we will substitute 0 for x in the expression for g(x).

g(x) = 3 - x²

g(0) = 3 - (0)²

= 3

Now we know that g(0) = 3.

Next, we need to find f(g(0)).

To do that, we will input value g(0) for x in the expression for f(x).

f(x) = 2x - 3

f(g(0)) = 2(g(0)) - 3

= 2(3) - 3

= 6 - 3

= 3

Therefore, f(g(0)) = 3.

(b) g(f(0))

First, we need to find f(0).

To do that, we will substitute 0 for x in the expression for f(x).

f(x) = 2x - 3

f(0) = 2(0) - 3

= -3

Now we know that f(0) = -3.

Next, we need to find g(f(0)).

To do that, we will substitute f(0) for x in the expression for g(x).

g(x) = 3 - x²

g(f(0)) = 3 - (f(0))²

= 3 - (-3)²

= 3 - 9

= -6

Therefore, g(f(0)) = -6.

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Answer:

(A) I think

Step-by-step explanation:

We you divide x12 and y18,12=4 y=6. Then you take +1 and change it to -1. It should bring you to answer A.

I hope I'm right and I hope this helps:)!

Answer:

The answer is A:

\((x^{4}y^{6} - 1)(x^{8}y^{12} - x^{4}y^{6} + 1)\)

Step-by-step explanation:

To solve this question, first apply the exponent rule to the entire equation:

\(x^{12}y^{18} + 1\)

\(= (x^{4}y^{6})^{3} + 1^{3}\)

Next, we can apply the Sum of Cubes formula. To refresh your memory, the formula is as thus:

\(x^{3} + y^{3} = (x + y)(x^{2} - xy + y^{2})\)

So, let's apply this to the equation above:

\((x^{4}y^{6})^{3} + 1^{3}\)

\(= (x^{4}y^{6} + 1)((x^{4}y^{6})^{2} - x^{4}y^{6} + 1^{2})\)

\(= (x^{4}y^{6} + 1)((x^{4}y^{6})^{2} - x^{4}y^{6} + 1^{2})\)

\(= (x^{4}y^{6} - 1)(x^{8}y^{12} - x^{4}y^{6} + 1)\)

Therefore, the answer is A.

Hope this helped!

Answer:

4√5

Step-by-step explanation:

To simplify √20+√45-√5, we need to look for factors that can be simplified under the square root. We can simplify 20 and 45 by factoring out perfect squares:

√20 + √45 - √5 = √(4×5) + √(9×5) - √5

= 2√5 + 3√5 - √5

= 4√5

Therefore, the simplest form of the expression is 4√5

Answer:

3 months

Step-by-step explanation:

So 60 dollar down and 70 per month

130 (60+70)

200

270

now 90 per month but no down

90

180

270

So 3 months

The number of months will be 3 is it until your cost is the same as Mega-er-Gym. The correct option is B.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Mega-Gym costs a one-time $60 membership fee and then charges $70 per month, while Mega-er-Gym does not charge a membership fee but costs $90 per month.

Cost of Megagym = 60 + 70m

Cost of Mega-er-Gym = 90m

90m = 60+70m

20m = 60

m = 60 / 20

m = 3 months

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The error involved in approximating the sum of the given series by the sum of the first five terms of the series is `R5 = 1/6³ + 1/7³ + ...`.

To estimate the error that is made by approximating the sum of the given series by the series the first 5 terms 1/k³, we can use the remainder term of a convergent series.

The given series is ∑ 1/k³ from k = 1 to infinity.We have to find the error involved in approximating the sum of the given series by the sum of the first five terms of the series.

That is, we need to find the difference between the actual sum of the series and the sum of the first five terms of the series.

The sum of the series is given by: `S = 1/1³ + 1/2³ + 1/3³ + 1/4³ + ... + 1/n³ + ...` We can use the remainder term of the series to find the error in approximation.

The remainder term `Rn` is given by: `Rn = Sn - S` where `Sn` is the sum of the first `n` terms of the series. Thus, we have to find the remainder term for `n = 5`.

The remainder term `Rn` is given by: `Rn = S - Sn = 1/6³ + 1/7³ + ...` Since the given series is convergent, the remainder term `Rn` tends to zero as `n` tends to infinity.

So, if we take the sum of the first five terms of the series, the error involved in approximation is given by the remainder term `R5`.

The error involved in this approximation is very small and can be neglected.

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none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.

To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.

The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.

Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:

Minimum space required for water closets = 12 water closets * 30 inches = 360 inches

Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches

Adding these two values together, we get a total minimum space requirement of 672 inches.

Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.

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Answer:

a

Step-by-step explanation:

the answer is a. 6 faces 12 edges and 8 vertices

Answer:

I beleive it is the first option

Step-by-step explanation:

The correct statements in the context of the Biot number are:

b, d and f.

The correct statements in the context of the Biot number are:

b. A small Biot number represents small resistance to heat conduction.

d. The smaller the Biot number, the more accurate the lumped system analysis.

f. The Biot number is more likely to be less than 0.1 when a body is cooled using a fan.

The incorrect statements are:

a. That Apply A small Biot number represents small resistance to heat conduction.

(The correct statement is that a small Biot number represents small resistance to heat conduction.)

c. The smaller the Biot number, the more accurate the lumped system analysis.

(This statement is correct, so it is not incorrect.)

e. The Biot number is more likely to be less than 0.1 when a body is cooled using a fan.

(This statement is correct, so it is not incorrect.)

g. The Biot number is inversely proportional to the convection heat transfer coefficient.

(This statement is incorrect. The Biot number is actually proportional to the convection heat transfer coefficient, not inversely proportional.)

Hence the correct statements in the context of the Biot number are:

b, d and f.

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Answer:

110

Step-by-step explanation:

Rate or proportion shows the relationship between the variation in the  number of two variables.

Given that the ratio of alternative songs to total songs is 9:14.

Total songs = 308

Since the to every 14 total songs, there is 9 alternative songs.

Thus,

Number of alternative songs = \(\frac{9}{14}\) x 308

                                                = 198

There are 198 alternative songs in the music library.

The number of songs that are NOT alternative songs = 308 - 198

                                                                                         = 110

Thus, there are 110 songs that are NOT alternative songs.

Answer:

can u show us the question

Step-by-step explanation:

A monic polynomial in algebra is a non-zero univariate polynomial, or a polynomial with a single variable, whose leading coefficient (the highest degree nonzero coefficient) is equal to 1.

Any equation in algebra that can be written in standard form as where x stands for an unknown value, where a, b, and c stand for known numbers, and where a 0 is true is known as a quadratic equation. x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer might be simple or complicated. In mathematics, a quadratic equation is one with degree 2, which means that its highest exponent is 2. A quadratic has the standard form y = ax2 + bx + c, where a, b, and c are all numbers and a cannot be zero.

Here,

In algebra, a monic polynomial is a non-zero univariate polynomial (i.e., a polynomial with a single variable) in which the leading coefficient (the nonzero coefficient of highest degree) is equal to 1.

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