I need help regarding a question about matrixes in math can someone please help?

Answer:

La altura del prisma es 2,4 m.

Step-by-step explanation:

Para calcular el volumen de un prisma rectangular, es necesario multiplicar sus tres dimensiones, esto es, longitud*ancho*altura. El volumen se expresa en unidades cúbicas.

Entonces:

volumen= longitud*ancho*altura

En este caso, los datos conocidos son:

Reemplazando:

24 m³= 2,5 m* 4 m* altura

Resolviendo:

\(altura=\frac{24 m^{3} }{2,5 m*4m}\)

\(altura=\frac{24 m^{3} }{10 m^{2} }\)

altura= 2,4 m

La altura del prisma es 2,4 m.

The problem with Rodell's method for collecting data is that it may result in a biased sample.

Rodell is only polling the students on his football and basketball teams, which means the sample he collects is not representative of the entire student population at his school.

The favorite gaming app among the students on his teams may not be the same as the favorite gaming app among the broader student population.

To obtain a more accurate representation of the students' preferences, Rodell should aim for a random sample that includes students from various groups within the school, such as different grade levels or extracurricular activities.

This would help to minimize bias and ensure that the results reflect the overall preferences of the student body.

By solely relying on the football and basketball teams, Rodell's method limits the diversity of the sample, potentially leading to skewed results and an inaccurate conclusion about the favorite gaming app among all students at the school.

Therefore, Rodell's data collection method is flawed because it could lead to a biased sample, as it only includes students from his football and basketball teams.

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Hi there!  

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I believe your answer is:  

D) \(c^2+c+6\)

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Here’s why:  

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Hope this helps you. I apologize if it’s incorrect.  

An absolute inequality that displays the maximum speed limit you may travel without receiving a ticket: |x - 65| < 9.

There are two instances to take into account when resolving absolute value disparities.

For the stated question.

Maximum permissible speed limit: 9 mph.

Speed limit with out getting ticket: 65 mph.

Let 'x' be the speed under the permissible speed limit:

Then,

Absolute inequality: |x - 65| < 9.

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By saving $4,000 per year for 40 years in an IRA with an 8% interest rate, you would accumulate approximately $1,031,250.

To calculate the amount you will have in 40 years, you can use the formula for the future value of an ordinary annuity:
FV = P * [(1 + r)^n - 1] / r
Where:
FV = Future value
P = Annual deposit
r = Interest rate per period
n = Number of periods

In this case, P = $4,000,
                    r = 0.08 (8%), and
                    n = 40.
Plugging in these values, the formula becomes:
FV = 4000 * [(1 + 0.08)^40 - 1] / 0.08
Calculating the expression within the brackets:
(1 + 0.08)^40 = 21.725

Now, substituting this value into the formula:
FV = 4000 * (21.725 - 1) / 0.08
FV = 4000 * 20.725 / 0.08
FV = $1,031,250
Therefore, after 40 years of saving $4,000 annually with an interest rate of 8%, you will have approximately $1,031,250 in your IRA.

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After 40 years of saving $4,000 per year with an 8% interest rate, you will have approximately $459,625.60 in your retirement account.

To calculate the future value of your retirement savings after 40 years, you can use the formula for the future value of an ordinary annuity:

\(FV = P * [(1 + r)^n - 1] / r\)

Where:

FV = Future value

P = Annual deposit

r = Interest rate per period

n = Number of periods

In this case, P = $4,000, r = 0.08 (8%), and n = 40 years.

Plugging these values into the formula:

\(FV = 4000 * [(1 + 0.08)^40 - 1] / 0.08\)

Calculating this expression will give you the future value of your retirement savings after 40 years. Let's calculate it step by step:

\(FV = 4000 * [(1.08)^40 - 1] / 0.08\)

FV = 4000 * [9.6464 - 1] / 0.08

FV = 4000 * 8.6464 / 0.08

FV = 459,625.60

Therefore, after 40 years of saving $4,000 per year with an 8% interest rate, you will have approximately $459,625.60 in your retirement account.

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Answer:

no solutions

Step-by-step explanation:

x-2=7+x

Subtract x from each side

x-2-x = x+7-x

-2 =7

This is never true so there are no solutions

-14 is the value of the expression b - 3a at a =6 and b = 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression b - 3a

For this expression given,

a = 6 and b = 4

Thus the value of expression at given values

=> b - 3a

=> 4 - 3 * 6

=>4 - 18

=> -14

Therefore, the value of the expression b - 3a at a =6 and b = 4 is -14.

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Answer:

m=1

Step-by-step explanation:

step 1: 8(m + 2) = 3(12 - 4m) remove the parentheses

step 2: 8 m + 2 = 3 12 - 4m move the terms

step 3: 8m+ 12m= 36 - 16 collect like terms and calulate

step 4: 20m=20 divide both sides

solution: m=1

Answer:

m = 1

Step-by-step explanation:

To solve for m, we will have to get m by itself on one side, with some value on the other side.

8(m + 2) = 3(12 - 4m)

Distribute the 8 on the left side and the 3 on the right side.

8m + 16 = 36 - 12m

Add 12m to both sides.

20m + 16 = 36

Subtract 16 from both sides.

20m = 20

Divide both sides by 20.

m = 1

So now we have the answer m = 1.

I hope you find my answer helpful.

Answer:

2nd option

Step-by-step explanation:

in the figure below red points are for ΔC"D"E"

we have to go in reverse order

to convert ΔC"D"E" to ΔC'D'E'

we have to scale the given triangle to a scale factor of 2

by multiplying vertices with 2

which gives blue points in the figure

next for 90° counter clockwise of ΔC'D'E' we get ΔCDE

for that we have to interchange x and y in the vertices

(2,2), (4,6), (-2,6) initial

(-2,2), (-6,4), (-6,-2) after

2nd option

Answer:

\(16x^{2} -42x+5\)

Step-by-step explanation:

Sum of its zeroes=\(\alpha +\beta =\frac{21}{8} \\\)

Product of its zeroes=\(\alpha \beta\)=\(\frac{5}{16}\)

Formula to form a quadratic polynomial:

\(p(x)=k[x^{2} -(\alpha +\beta )x+\alpha \beta ]\)

p(x)=\(k[x^{2} -(\frac{21}{8} )x+\frac{5}{16}]\)

p(x)=\(16[x^{2} -(\frac{21}{8} )x+\frac{5}{16}]\)

p(x)=\([16x^{2} -42x+5]\)

The quadratic polyniomial is \(16x^{2}-42x+5\)

The value of x is 13.85.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

From the figure,

(7x + 1)° and (6x - 1)° makes a straight angle.

This means,

(7x + 1) + (6x - 1) = 180

7x + 1 + 6x - 1 = 180

13x = 180

x = 180/13

x = 13.85

Thus,

x is 13.85°

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Answer: look at the image for the answer and the solution

Step-by-step explanation:

Answer: the home of it is 78 degrees

Step-by-step explanation:

as the angular bisector is shown then we can say that its right

Answer:

81 F

Step-by-step explanation:

Hours | Temp.

   0     | 75F

   1      | 77F

   2     | 79F

   3     | 81F

To derive the expression for the Marginal Utility (MU) of each good in the given utility functions, we need to take the partial derivatives of the utility functions with respect to each good. Let's calculate the MU for each good in the first three utility functions:

1. Utility function U1(x1,x2) = (x1 + 4x2)^2:

To find the MU of x1, we differentiate U1 with respect to x1 while treating x2 as a constant:
MU1(x1,x2) = 2(x1 + 4x2) * 1 = 2(x1 + 4x2)

To find the MU of x2, we differentiate U1 with respect to x2 while treating x1 as a constant:
MU2(x1,x2) = 2(x1 + 4x2) * 4 = 8(x1 + 4x2)

2. Utility function U2(x1,x2) = 5x1^3 * x2^4:

To find the MU of x1, we differentiate U2 with respect to x1 while treating x2 as a constant:
MU1(x1,x2) = 15x1^2 * x2^4

To find the MU of x2, we differentiate U2 with respect to x2 while treating x1 as a constant:
MU2(x1,x2) = 20x1^3 * x2^3

3. Utility function U3(x1,x2) = x1 * (x2 + 2):

To find the MU of x1, we differentiate U3 with respect to x1 while treating x2 as a constant:
MU1(x1,x2) = x2 + 2

To find the MU of x2, we differentiate U3 with respect to x2 while treating x1 as a constant:
MU2(x1,x2) = x1

Next, let's compute the Marginal Rate of Substitution (MRS) at the bundle (2,4) for each utility function. MRS measures the rate at which a consumer is willing to substitute one good for another while maintaining the same level of utility.

1. Utility function U1(x1,x2) = (x1 + 4x2)^2:

The MRS is given by the ratio of the marginal utilities:
MRS(x1,x2) = MU1(x1,x2) / MU2(x1,x2)

Substituting the values x1 = 2 and x2 = 4 into the expressions for MU1 and MU2 derived earlier, we get:
MRS(2,4) = [2(2 + 4(4))] / [8(2 + 4(4))]

Simplifying the expression, we have:
MRS(2,4) = 12 / 48 = 1/4

2. Utility function U2(x1,x2) = 5x1^3 * x2^4:

Similarly, the MRS is given by the ratio of the marginal utilities:
MRS(x1,x2) = MU1(x1,x2) / MU2(x1,x2)

Substituting the values x1 = 2 and x2 = 4 into the expressions for MU1 and MU2 derived earlier, we get:
MRS(2,4) = (15(2^2)(4^4)) / (20(2^3)(4^3))

Simplifying the expression, we have:
MRS(2,4) = 960 / 1280 = 3/4

3. Utility function U3(x1,x2) = x1 * (x2 + 2):

The MRS is given by the ratio of the marginal utilities:
MRS(x1,x2) = MU1(x1,x2) / MU2(x1,x2)

Substituting the values x1 = 2 and x2 = 4 into the expressions for MU1 and MU2 derived earlier, we get:
MRS(2,4) = (4 + 2) / 2 = 3/2

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Based on the solution below, we have:

A. a + 2b =5 corresponds to 5. a = 5 - 2b;

B. 5a = 2b  corresponds to 1. a = 2b/5;

C. a + 5 = 2b corresponds to 4. a = 2b - 5;

D. 5(a + 2b) = 0 corresponds to 3. a = -2b; and

E. 5a + 2b=0 corresponds to 2. a = -2b/5.

For clarity purposes, the equations in the question are restated as follows:

A. a + 2b = 5                1. a = 2b/5

B. 5a = 2b                   2. a = -2b/5

C. a + 5 = 2b               3. a = -2b

D. 5(a + 2b) = 0          4. a = 2b-5

E. 5a + 2b =0              5. a = 5-2b

A. From the equation a + 2b = 5, a can be solved as follows:

a + 2b = 5

a = 5 - 2b

B. From the equation 5a = 2b, a can be solved as follows:

5a = 2b

a = 2b/5

C. From the equation a + 5 = 2b, a can be solved as follows:

a + 5 = 2b

a = 2b - 5

D. From the equation 5(a + 2b) = 0, a can be solved as follows:

5(a + 2b) = 0

5a + 10b = 0

5a = -10b

a = -10b/5

a = -2b

E. From the equation 5a + 2b =0, a can be solved as follows:

5a + 2b =0

5a = -2b

a = -2b/5

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Answer: I Think it's 20%

The coordinates of point B' are (-3, 6).

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1).

The triangle is translated as 3 units to the left and 1 unit up.

What are the coordinates of B' after the translation?

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1).

The triangle is translated as 3 units to the left and 1 unit up.

To find the coordinates of B', we will shift the x-coordinate of point B to left by 3 units and the y-coordinate of point B to 1 unit up.

After the given transformation the coordinates of point B' would be:

\(\rm B(0, \ 5) = B (0-3, \ 5+1) = B(-3, \ 6)\)

Therefore, the coordinates of point B' are (-3, 6).

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Answer:

Vertical translation of 5 units up

Step-by-step explanation:

The addition of 5 to g(x) represents a translation 5 units up.

In the special case of two degrees of freedom, the chi-squared distribution does not coincide with the exponential distribution. The chi-squared distribution is a continuous probability distribution that arises in statistics and is used in hypothesis testing and confidence interval construction. It is defined by its degrees of freedom parameter, which determines its shape.

On the other hand, the exponential distribution is also a continuous probability distribution commonly used to model the time between events in a Poisson process. It is characterized by a single parameter, the rate parameter, which determines the distribution's shape.

While both distributions are continuous and frequently used in statistical analysis, they have distinct properties and do not coincide, even in the case of two degrees of freedom. The chi-squared distribution is skewed to the right and can take on non-negative values, while the exponential distribution is skewed to the right and only takes on positive values.

The chi-squared distribution is typically used in contexts such as goodness-of-fit tests, while the exponential distribution is used to model waiting times or durations until an event occurs. It is important to understand the specific characteristics and applications of each distribution to appropriately utilize them in statistical analyses.

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XY< 10

if you get too confused whether the x is a variable or a sign, use the * .

Answer:

(-5,4) and (1,6) are cordanites on a graph 1st square is ++ 2nd is +- 3rd is -- and 4th is -+

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Total up the Consumption,Investment, Government Spending and Exports then minus the Total Imports. So the correct answer is C. $4,100

Answer:

Johnny is correct because irrational numbers never end

(a) No, a triangle cannot have two obtuse angles. (b) No, a triangle cannot have two right angles.
(c) If no angle of a triangle measures more than 60°, then the triangle is an acute triangle.


(a) In a triangle, the sum of all three angles must be 180°. Since two obtuse angles would sum to more than 180°, it is not possible for a triangle to have two obtuse angles.
(b) In a triangle, the sum of all three angles must be 180°. Since two right angles would sum to 180°, it is not possible for a triangle to have two right angles.
(c) In an acute triangle, all three angles are less than 90°. If no angle of a triangle measures more than 60°, then all three angles are less than 90°, making it an acute triangle.

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The pollster should survey 2627 voters in order to be 96 percent confident that the true proportion of U.S. voters opposing capital punishment is estimated to within 0.02.

To determine the sample size needed for estimating a proportion, we can use the formula:

n = (Z^2 * p * q) / E^2

where:

n is the sample size

Z is the z-value corresponding to the desired confidence level (96 percent confidence corresponds to a z-value of approximately 1.75)

p is the estimated proportion (since we don't have an initial estimate, we can assume a conservative estimate of 0.5)

q is 1 - p (complement of the estimated proportion)

E is the desired margin of error (0.02)

Plugging in the values, we have:

n = (1.75^2 * 0.5 * 0.5) / 0.02^2

n ≈ 2627

Therefore, the pollster should survey 2627 voters in order to be 96 percent confident that the true proportion of U.S. voters opposing capital punishment is estimated to within 0.02.

This sample size calculation ensures that the estimate of the true proportion will have a margin of error (E) of 0.02 or less, providing a high level of confidence (96 percent) in the accuracy of the estimate.

In conclusion, by using the formula for sample size estimation, the pollster should survey 2627 voters to achieve a 96 percent confidence level with a margin of error of 0.02 when estimating the true proportion of U.S. voters opposing capital punishment.

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Answer:

In analytic geometry using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

Step-by-step explanation:

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The number 3.23×10^6, expressed in standard decimal notation, is 3,230,000. In scientific notation, a number is expressed as the product of a coefficient and a power of 10.

In this case, the coefficient is 3.23, and the power of 10 is 6. To convert this number into standard decimal notation, we need to multiply the coefficient by the corresponding power of 10. The power of 10, in this case, is 10^6, which means 10 raised to the power of 6. This is equivalent to 1 followed by six zeros: 1,000,000. To obtain the standard decimal notation, we multiply the coefficient, 3.23, by 1,000,000.

Calculating the multiplication, we have:

3.23 × 1,000,000 = 3,230,000.

Hence, the number 3.23×10^6, expressed in standard decimal notation, is 3,230,000. This means that the number is equal to 3.23 million.

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