what is the surface area of a prism 8,6,10,12



Please give me proper and right answers


i am begging you

Step-by-step explanation:

This is the answer thank you :)

Answer:

\(\displaystyle y' = \frac{21\sqrt{x}}{2} + \frac{1}{2\sqrt{x}} - 5\)

General Formulas and Concepts:

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

\(\displaystyle y = \sqrt{x} + 7x^{\frac{3}{2}} - 5x + 12\)

Step 2: Differentiate

The scale factor of the dilation is k = 1/3

Given data ,

Let the coordinates of the triangle KLM be

K ( -2 , 8 ) , L ( 7 , 2 ) and M ( -15 , -1 )

Let the coordinates of the triangle RST be

R ( 4 , 8 ) , S ( 7 , 6 ) and T ( 0 , 5 )

Scale factor = Distance from center of dilation to corresponding vertex of image triangle / Distance from center of dilation to corresponding vertex of pre-image triangle

Distance from center of dilation C to vertex R = √((xR - xC)^2 + (yR - yC)^2)

Distance from center of dilation C to vertex K = √((xK - xC)^2 + (yK - yC)^2)

Plugging in the given coordinates:

Distance from center of dilation C to vertex

R = √((4 - 7)² + (8 - 8)²) = √9 = 3

Distance from center of dilation C to vertex

K = √((-2 - 7)² + (8 - 8)²) = √81 = 9

Now, we can calculate the scale factor:

Scale factor = Distance from center of dilation to corresponding vertex of image triangle / Distance from center of dilation to corresponding vertex of pre-image triangle

Scale factor = 3 / 9 = 1/3

Hence , the scale factor of the dilation that maps triangle KLM to triangle RST with the center of dilation at point C(7, 8) is 1/3

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Since we have four three cards, four four cards and four five cards, this means that we have 12 possibilities out of 52; that is the probability is:

Therefore the probability is 3/13

Answer:

$168,500,000

Step-by-step explanation:

Given that :

Total amount spent on both scanner and video digitizer research and development = $242,000,000

Let :

amount spent on scanner = x

Amount spent on video digitizer = y

Total amount spent, c = x + y

x = y + 95,000,000

Hence,

242000000 = y + 95,000,000 + y

242000000 - 95000000 = 2y

147,000,000 = 2y

y = $73,500,000

Hence, amount spent on scanners :

$73,500,000 + $95,000,000

= $168,500,000

Answer:

C:2 gallons per minute

Step-by-step explanation:

Answer:

The answer is two gallons per minute.

Step-by-step explanation:

The gallons are always double the minutes. This means that there are 2 gallons per minute.

h(x) = 2x + 4

let y =h(x)

y = 2x + 4

To find the inverse, we interchange the x and y

x = 2y + 4

we make y the subject of formula.

subtract 4 from both sides of the equation:

x - 4 = 2y + 4 - 4

x - 4 = 2y

DIvide both sides by 2:

(x-4)/2 = 2y/2

(x-4)/2 = y

Hence, the inverse of the function:

Answer:

Watermelon A weighs 2 kg, watermelon B weighs 4 kg and watermelon C weighs 10 kg.

Step-by-step explanation:

Watermelon A is 2 kg lighter than watermelon B and 5 times lighter than watermelon C. This means that:

A = B - 2

and

A = C / 5 => C = 5A

Watermelons A and C together are 3 times heavier than watermelon B. This means that:

A + C = 3*B = 3B

Put C = 5A:

A + 5A = 3B

6A = 3B

=> B = 6/3 A = 2A

=> A = 2A - 2

=> 2A - A = 2

=> A = 2 kg

B = 2 * 2 = 4 kg

C = 5 * 2 = 10 kg

Therefore, watermelon A weighs 2 kg, watermelon B weighs 4 kg and watermelon C weighs 10 kg.

Answer:

Step-by-step explanation:

y = 8 + 2x

3(8+2x) - 6x = 24

24 + 6x - 6x = 24

24 = 24

This equation is an identity, all real numbers are solutions

By applying repeated and independent measures concepts, it can be concluded that there are 11 individuals participated in the repeated-measures research study and 12 individuals participated in the independent-measures research study (option D).

In a repeated-measures research study, the degree of freedom (df) is calculated by subtracting 1 from the number of individuals in the study (n). Therefore, if df = 10, then the number of individuals in the study is 10 + 1 = 11.

Whilst, in an independent-measures research study, the degree of freedom (df) is calculated by subtracting 2 from the number of individuals in the study (n). Therefore, if df = 10, then the number of individuals in the study is 10 + 2 = 12.

Therefore, it can be concluded that there are 11 individuals participated in the repeated-measures research study and 12 individuals participated in the independent-measures research study (option D).

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The transformation that will take parallelogram PQRS onto itself is (D) a 360° clockwise rotation about the center of the parallelogram.

A 360° rotation is equivalent to a full rotation, meaning that the parallelogram will end up in the same position as it started. Therefore, this transformation will take the parallelogram onto itself.

A reflection over the line y = -5 or x = -5 will not take the parallelogram onto itself, as it will result in a mirrored image of the original parallelogram. Similarly, a 180° rotation will result in the parallelogram being in a different position than it started.

Therefore, the correct answer is (D) a 360° clockwise rotation about the center of the parallelogram.

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Mrs Ong brough total 12 fruits.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

let the total fruits be x.

Oranges = 1/2 x - 3

Pears = [x - 1/2 (1/2x -3 ) ]- 2= x - 1/4x + 3/2 - 2 = 3x /4 - 1/2

Apples = x - 1/2 (3x /4 - 1/2) - 1

            = x - 3/8 x + 1/4 - 1 = 5x /8 - 3/4

Mangoes = 5

x - 5x/ 8 + 3/4 = 5

3x /8 + 3/4 = 5    

3x + 6 = 40

3x = 34

x = 11.333

So, Mrs Ong brough total 12 fruits.

and,  The fraction of the fruits were pears is = 17/ 2 x 1/12 = 17/24.

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The equation for the line tangent to the circle \(\(x^2 + y^2 = 169\)\) at the point \(\((-5, 12)\)\) is \(\(x + 5y = 13\)\).

To find the equation of the tangent line to the circle at a given point, we need to determine the slope of the tangent line and its point of tangency. The slope of the tangent line is equal to the negative reciprocal of the derivative of the circle's equation with respect to x.

Differentiating the equation \(\(x^2 + y^2 = 169\)\) with respect to x, we get \(\(2x + 2y \frac{{dy}}{{dx}} = 0\)\). Rearranging this equation, we find \(\(\frac{{dy}}{{dx}} = -\frac{{x}}{{y}}\)\).

Substituting the coordinates of the given point (-5, 12) into the derivative, we have \(\(\frac{{dy}}{{dx}} = -\frac{{-5}}{{12}} = \frac{{5}}{{12}}\)\).

Since the tangent line has the same slope as the derivative at the point of tangency, the slope of the tangent line is \(\(\frac{{5}}{{12}}\)\).

Using the point-slope form of a line, \(\(y - y_1 = m(x - x_1)\)\), where \(\((x_1, y_1)\)\) is the given point, we substitute \(\((-5, 12)\)\) and the slope \(\(\frac{{5}}{{12}}\)\) to obtain \(\(y - 12 = \frac{{5}}{{12}}(x + 5)\)\).

Simplifying this equation, we get \(\(x + 5y = 13\)\), which is the equation of the tangent line to the circle at the point \(\((-5, 12)\)\).

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Answer:

Step-by-step explanation:

1.-60

2.-7

3.15

Answer:

60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

180/60=3 so 3*20=60 so 60 is your answer.

The graph shows the tides' behavior within a 24-hour period. Two high tides are visible with different amplitudes, and the relative height above the MLLW is not the same. Similarly, two low tides can be observed, with the lowest amplitude and lower amplitude having relative heights of 1 foot and 3.7 feet above the MLLW.

The tidal pattern in this graph is a mixed one, with two high and two low tides of different sizes. The maximum tidal range observed in this period is calculated as 5.2 feet by subtracting the height of the lower low tide from that of the higher high tide.

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Complete Question:

the chart below shows the predicted tide level during a 2-day period of time for crescent city, ca on july 24 and 25, 2007. answer the questions below based on the chart. how many high tides (or peaks) are there each day?

The given econometric model is salary = β₀ + β₁WAR + β₂age + u where WAR represents the total number of wins above a replacement player and age is the age in years. Here, u denotes the error term, which cannot be measured directly.

A sample of 120 individuals is taken and data on each person's salary, WAR, and age are collected. ∂² = φ is an unbiased, observable estimator of the variance of the error term (σ²). which cannot be measured directly. A sample of 120 individuals is taken and data on each person's salary, WAR, and age are collected. ∂² = φ is an unbiased, observable estimator of the variance of the error term (σ²).

An econometric model is given below: Salary is a function of the player's WAR and age, as determined by the equation. The parameter β₀ represents the intercept. The slope of the salary curve with respect to WAR is represented by the parameter β₁. Similarly, the slope of the salary curve with respect to age is represented by the parameter β₂. Finally, the error term u captures the effect of all other determinants of salary not included in the model.

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Answer:

c

Step-by-step explanation:

is the answer as there is no repeated x for example if the x is repeated again its not a function

Answer:

C. {(8, 1), (4, 1), (0,1), (–15, 1)}

Step-by-step explanation:

Since there is one value of  

y

for every value of  

x

in  

(

8

,

1

)

,

(

4

,

1

)

,

(

0

,

1

)

,

(

−

15

,

1

)

, this relation is a function.

The relation is a function.

the executive takes home $1583.40 each week

Pairwise comparison voting, also known as Condorcet voting, satisfies both majority rule and pairwise victory (the Condorcet criterion).

1. Pairwise comparison: In pairwise comparison voting, each candidate is compared to every other candidate in a head-to-head contest. Voters rank the candidates in order of preference, and the outcomes of these individual contests are used to determine the overall winner.

2. Majority rule: Majority rule is satisfied in pairwise comparison voting because, in each head-to-head contest, the candidate who receives more than 50% of the votes is considered the winner. This ensures that the candidate with the majority of votes in each comparison is acknowledged as the preferred choice.

3. Pairwise victory (Condorcet criterion): The Condorcet criterion states that if there is a candidate who can beat every other candidate in a one-on-one contest, that candidate should be the overall winner. Pairwise comparison voting satisfies the Condorcet criterion because it directly compares each candidate against all others, ensuring that any candidate who consistently wins these head-to-head contests is recognized as the overall winner.

In conclusion, pairwise comparison voting (Condorcet voting) satisfies both majority rule and pairwise victory (the Condorcet criterion) by comparing candidates in head-to-head contests, ensuring that the candidate with the majority of votes in each contest is acknowledged as the preferred choice, and recognizing any candidate who consistently wins these head-to-head contests as the overall winner.

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The slope of the line is -7 and the y-intercept is negative 3. The line is drawn below.

The collection includes all locations on the surface of the shape (x, f(x)) that make up a function of f's graph. We may alternatively say that the graph of f is the curve of y = f. (x). As a result, the diagram of an equation is a particular instance of the graphs of functions.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation is given below.

y = -7x - 3

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The statistical test in which the mean difference between two groups is compared to a distribution of differences between means is known as the t-test.

The one-way analysis of variance (ANOVA) is the suitable procedure in place of the t-test for a comparison of more than two group means. The ANOVA is interested in the locations of the distributions indicated by means as well since it has the same underlying assumptions as the t-test.

ANOVA is used to compare the means among three or more groups, while the Student's t-test is used to compare the means between two groups. First receives a shared P value in an ANOVA. The ANOVA test results with a significant P value for at least one pair where the mean difference was statistically significant.

From the above theory, the test specified above is termed as the t-test.

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Answer:

x= 4.5

Step-by-step explanation:

P= 2(l + w)

36 = 2(4x-6)+12

36 = 8x - 12 +12

x = 36/8

=4.5

Answer:

Equation: 4x - 6 = 6            x = 3

Step-by-step explanation:

A rectangle is a parallelogram, which means that opposite sides are parallel.  This means that both of the short sides equal 12.  12 plus 12 is 24, so substract 24 from 36 to get 12.  This means that the sum of the long sides are 12; half of 12 is 6 so that is the length of one of the sides.  This means that you can set the equation 4x - 6 equal to 6.  Add 6 to both sides to get 4x = 12, then divide both sides by 4 to get x = 3.  I think your equation should be 4x - 6 = 6, and x equals 3.  

Sorry if I'm wrong, if I'm right then that picture of the rectangle is really misleading.  

Answer: 4(2x-5)

Simplified: 8x-20

Answer:

8x-20

Step-by-step explanation:

Just simplify if this is the answer you're looking for next time be specific with the question

a) It would take Anya approximately 4 years to accumulate $40,000 with an annual interest rate of 12%. b) Anya must earn an annual rate of return of approximately 12.6% to save $40,000 in 3 years.

a) To calculate the number of years it would take Anya to accumulate $40,000, we can use the future value formula for compound interest:

Future Value = Present Value * (1 + interest rate)ⁿ

Where:

Future Value = $40,000

Present Value = $25,000

Interest rate = 12% = 0.12

n = number of years

Substituting the given values into the formula, we have:

$40,000 = $25,000 * (1 + 0.12)ⁿ

Dividing both sides of the equation by $25,000, we get:

(1 + 0.12)ⁿ = 40,000 / 25,000

(1.12)ⁿ = 1.6

To solve for n, we can take the logarithm of both sides of the equation:

n * log(1.12) = log(1.6)

Using a calculator, we find that log(1.12) ≈ 0.0492 and log(1.6) ≈ 0.2041. Therefore:

n * 0.0492 = 0.2041

n = 0.2041 / 0.0492 ≈ 4.15

b) To calculate the required rate of return for Anya to save $40,000 in just 3 years, we can rearrange the future value formula:

Future Value = Present Value * (1 + interest rate)ⁿ

$40,000 = $25,000 * (1 + interest rate)³

Dividing both sides of the equation by $25,000, we have:

(1 + interest rate)³ = 40,000 / 25,000

(1 + interest rate)³ = 1.6

Taking the cube root of both sides of the equation:

1 + interest rate = ∛1.6

Subtracting 1 from both sides, we get:

interest rate = ∛1.6 - 1

Using a calculator, we find that ∛1.6 ≈ 1.126. Therefore:

interest rate = 1.126 - 1 ≈ 0.126

To express the interest rate as a percentage, we multiply by 100:

interest rate = 0.126 * 100 = 12.6%

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Answer:

B

Step-by-step explanation:

Moving it to the right one unit and down one unit, you would have the answer be (x + 1, y-1) because moving it to the right is moving it in the direction of the positive numbers and moving it down is moving it in the direction of the negative numbers.

-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:

<---------------------------------------------------------------------------------------------------------->

   10          20         30        40        50        60         70         80        90        100

                                                                         ×--×-×-----×-----×

Answer:

x = 70

Step-by-step explanation:

The angles are same side interior angles and when the lines are parallel same side interior angles are supplementary

45+ (2x-5) = 180

Combine like terms

2x +40 = 180

Subtract 40 from each side

2x+40-40 =180-40

2x = 140

Divide by 2

2x/2 = 140/2

x = 70

x = 70