Use the formula A = 12 h(b1 + b2) to find the area of the trapezoid. A trapezoid with bases of length 5 centimeters and 9 centimeters, and a height of 3 centimeters. The area of the trapezoid is Choose... square centimeters.

Answer:

14/24 ( simplified = 7/12)

Step-by-step explanation:

to find this we multiply the fractions 2/3 and 7/8

7/8 x 2/3 = 14/24

So Shannon ate 14/24 lb

You can simplify to = 7/12

Answer:

11 cups

Step-by-step explanation:

11x5= 55

55+45

The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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The height of the trapezoid is 14 units.

We need to find the height of a trapezoid which has given lengths of its bases and the area.

Area = (1/2) × (sum of the bases)×height

The area is given as 518, and the lengths of the bases are 30 and 44.

Plug in these values.

518 = (1/2) × (30 + 44) × height

518 = (1/2) × 74 × height

Now, let's solve for the height:

518 = 37 × height

Divide both sides by 37:

height = 518 / 37

height = 14

Therefore, the height of the trapezoid is approximately 14 units.

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Answer: x(5) = 10 has the multiplication property.

Step-by-step explanation:

To verify the multiplication property of equality , We need to put  the value of x= 2

1.  x(5) = 10

Solution = 2(5) = 10     ✔

2.  x(1.5) = 2(2)

Solution = 2 (1.5) = 3    X

3.  x(0.5) = 2(0.5)

Solution = 2 (0.5) = 1    X

4.  x(12) = 12

Solution = 2 (12) = 24    X

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Answer:

Step-by-step explanation:

answer B and D

I got it right and didnt spell the entire constitution

The mathematical model of an abstract syntax tree (AST) for a programming language's block (BL) statement typically involves representing the syntax of the statement using a tree structure.

This tree structure consists of nodes that correspond to different components of the statement, such as keywords, variables, operators, and expressions. The AST provides a way to parse and interpret the syntax of the statement, allowing for efficient compilation and execution of the code.

The model can be represented using various algorithms and data structures, such as recursive descent parsing or top-down parsing. Ultimately, the AST serves as a tool for developers to analyze, optimize, and debug their code, and is an essential component of many modern programming languages.

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Answer:D

Step-by-step explanation:

Answer:

To find -134 + 53, add the ones place (4+3=7) and the tens place (5+3=8), giving you -81.

Answer: -81.

Answer:

-81

Step-by-step explanation:

You subtract the absolute values and take the sign of the larger absolute value.

Absolute value is the distance from zero.  This will be a positive number

134 - 53 = 81

The sign will be negative because the sign of the higher absolute value number is negative.  134 has a larger absolute value than 53 and it is negative, so our answer is negative.

Helping in the name of Jesus.

Answer:

A. Computer Company A’s predicted total sales for the year 2022 will be 3.78 billion dollars and Computer Company B’s predicted total sales for the year 2022 will be 2.45 billion dollars.

B. Computer Company A’s predicted total sales will reach 4.24 billion dollars in 2027.

Answer: A. Computer Company A’s total sales for the year of 2022 will be about 3.78 billion dollars and Computer Company B’s total sales for the year of 2022 will be about 2.45 billion dollars.

B. Computer Company A’s total sales will reach to about 4.24 billion dollars in around the year of 2027.

Answer:

161391

Step-by-step explanation:

138000 x 16.95/100 = 23391

138000 + 23391 = 161391

Using the calculator with mean and sample standard deviation keys, we have the following data: $$\overline{x}= \frac{15.9 + 13.4 + 22.1 + 12.7 + 13.1 + 19.6 + 11.7 + 13.5 + 17.7 + 18.1}{10} \approx 15.8$$ and  $$s=\sqrt{\frac{(15.9 - 15.8)^2 + (13.4 - 15.8)^2 + (22.1 - 15.8)^2 + \cdots +(18.1 - 15.8)^2}{10 - 1}}\approx 3.5.$$ (b) We have: $n = 10$, $s\approx 3.5$, $\overline{x}\approx 15.8$, and confidence level $C = 80\%$.

The point estimate is $\overline{x} = 15.8$ cm. Using the Student's t-distribution, we have $t_{n-1, \alpha/2}= t_{9, 0.1} = 1.383$.The confidence interval is given by: $$\overline{x}- t_{n-1, \alpha/2}\frac{s}{\sqrt{n}} \le u \le \overline{x}+ t_{n-1, \alpha/2}\frac{s}{\sqrt{n}}.$$Substituting the values: $$15.8 - 1.383\cdot \frac{3.5}{\sqrt{10}} \le u \le 15.8 + 1.383\cdot \frac{3.5}{\sqrt{10}}$$Simplifying, we get:$$13.71 \le u \le 17.89$$Thus, an 80% confidence interval for the population mean $\mu$ of rim diameters for such ceramic vessels found at the Wind Mountain archaeological site is (13.71, 17.89).

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An equation of the line that passes through the given point and is

(a) parallel to is y = -3x - 7

(b) perpendicular to is y = (1/3)x + 1/3.

a) Parallel line

The slope of the given line is -3. The slope of a parallel line is also -3. So, the equation of the parallel line will be of the form:

y = -3x + b

Plug the point (-2, -1) into this equation to solve for b, the y-intercept.

-1 = -3(-2) + b

-1 = 6 + b

-7 = b

Therefore, the equation of the parallel line is:

y = -3x - 7

b) Perpendicular line

The slope of a perpendicular line is the negative reciprocal of the slope of the given line. The slope of the given line is -3, so the slope of the perpendicular line is 1/3. So, the equation of the perpendicular line will be of the form:

y = (1/3)x + b

Plug the point (-2, -1) into this equation to solve for b, the y-intercept.

-1 = (1/3)(-2) + b

-1 = -2/3 + b

1/3 = b

Therefore, the equation of the perpendicular line is:

y = (1/3)x + 1/3

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Answer:

7:4

Step-by-step explanation:

The number of sharks at the aquarium is 840

The number of lion fish is 630

The total number of fish is 1470

Therefore the ratio of fish to sharks can be calculated as follows

= 1470/840

= 7:4

Hence the ratio of fish to sharks is 7:4

Answer:

D.

<2 and <7 form vertical angles

Answer:

3x+4y=-36

x= -4/3y-12

-2x+4y=-16

x= 2y+8

Answer:

38

Step-by-step explanation:

38of 502bhfghggiggjgfhhffj

Answer:

FC = V - N - (B/2)

Step-by-step explanation:

FC = formal charge

V =  number of valence electrons

N = number of nonbonding valence electrons

B = total number of electrons shared in bonds

The calculation of (6 X 5) X 1 can be simplified as 30

The calculation of (6 X 5) X 1 can be simplified as follows:

(6 X 5) X 1 = 30 X 1 = 30

When you multiply 6 and 5, you get 30. And when you multiply 30 by 1, you get the same number, 30. So, (6 X 5) X 1 equals 30.

However, none of the options given in the question match the result of the calculation.

Option A suggests that (7 X 5) X 1 equals 35, but that's not correct.

Option B suggests that (6 X 6) X 1 equals 36, which is also not correct.

Option C suggests that (7 X 5) X 1 equals 35, which, as we know, is incorrect.

Therefore, the correct answer to the given calculation is 30, but it's not listed among the choices.

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Answer: 830.5 x 10^6

Alternative form: 830500000, 8.305 x 10^8

Step-by-step explanation:

(8.4 x 10^8) − (9.5 x 10^6) <- rewrite the expression

8.4 x 10^8 - (9.5 x 10^6) <-- factor the expression

(8.4 x 10^2 - 9.5) x 10^6 <-- Evaluate the power

(8.4 x 100 - 9.5) x 10^6 <-- Multiply the numbers

(840 - 9.5) x 10^6 <-- subtract the numbers

830.5 x 10^6

Answer:

The probability that you will roll a 4 is 1/6

Step-by-step explanation:

A basic number cube has 6 sides.

Each side is marked by one of the numbers: 1, 2, 3, 4, 5, 6

The 4 is only on one out 6 of the sides so it is 1/6 probability

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The required return for a stock with a beta of 2.20, a risk-free rate of 2%, and a market risk premium of 6% is 14.39%.  The correct option is c.

To calculate the required return, we can use the Capital Asset Pricing Model (CAPM), which relates the expected return of a stock to its beta, the risk-free rate, and the market risk premium. The formula for CAPM is as follows:

Required Return = Risk-Free Rate + (Beta × Market Risk Premium)

In this case, the risk-free rate is 2% and the market risk premium is 6%. The beta of the stock is given as 2.20. Plugging these values into the formula, we get:

Required Return = 2% + (2.20 × 6%) = 2% + 13.2% = 15.2%

Therefore, the correct answer is option C: 14.39%.

The CAPM is a widely used model in finance to estimate the required return on an investment. It takes into account the risk-free rate, which represents the return on a risk-free investment such as government bonds, and the market risk premium, which represents the additional return investors expect to receive for taking on the risk of investing in the overall market.

The beta of a stock measures its sensitivity to market movements, and multiplying it by the market risk premium gives us an estimate of the stock's additional required return. By summing this additional return with the risk-free rate, we obtain the required return for the stock.

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To find an equation of a plane through a given point and perpendicular to a given line, you can follow these steps:

1. Find the direction vector of the given line. This can be done by subtracting the coordinates of any two points on the line. Let's denote this vector as "d".

2. Find the normal vector of the plane. Since the plane is perpendicular to the line, its normal vector will be the same as the direction vector of the line. So, the normal vector of the plane is "d".

3. Use the coordinates of the given point on the plane to find the equation of the plane. Let's denote the coordinates of the point as (x₀, y₀, z₀).

The equation of the plane can be written as:

Ax + By + Cz = D,

where A, B, C are the components of the normal vector "d", and x, y, z are the variables representing any point on the plane.

To find the values of A, B, C, and D, substitute the coordinates of the given point into the equation:

A(x₀) + B(y₀) + C(z₀) = D.

Therefore, the equation of the plane through the given point and perpendicular to the line is:

d₁(x - x₀) + d₂(y - y₀) + d₃(z - z₀) = 0,

where (d₁, d₂, d₃) are the components of the direction vector "d" of the line, and (x₀, y₀, z₀) are the coordinates of the given point.

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Find the equation of the plane passing through the point (−1,3,2) and perpendicular to each of the planes x+2y+3z=5 and 3x+3y+z=0.

The length of segment RS is given as follows:

RS = 24.

The angle addition postulate states that if two or more angles share a common vertex and a common angle, forming a combination, the measure of the larger angle will be given by the sum of the measures of each of the angles.

The segment RT is the combination of segments RS and ST, hence:

RT = RS + ST.

Hence the length of segment RS is given as follows:

41 = RS + 17

RS = 24.

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The coordinates of the middle point M is found as  (-7,0) of the line segment AB.

For the given question;

The two coordinates of the points are given ;

A( -4,4) = (x₁, y₁)

B (-10,-4) = (x₂, y₂)

The middle point M of this line segment is found as;

M(x, y) = (x₁ + x₂)/2 , (y₁ + y₂)/2

Put the values in the formula;

M(x, y) = (-4 - 10)/2 , (4 - 4)/2

M(x, y) = (-14)/2 , 0

M(x, y) = (-7,0)

Thus, the coordinates of the middle point M is found as  (-7,0).

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Answer:

The Distributive Property.

Step-by-step explanation:

4(x - 1) = 12

When distributing out the 4, it must go to all the terms within the brackets like this:

4x - 4 = 12.

4x = 16

x = 4.

Answer:

she can buy 5 roses

Step-by-step explanation:

Answer: 3x

Step-by-step explanation:

2x+1=3x

Answer is  ∬1 sin(y) dy dx = -x cos(y) + g(y) + Cx + D,

To evaluate the double integral ∬1 sin(y) dy dx, we need to integrate with respect to y first and then integrate the result with respect to x.

Let's start by integrating with respect to y:

∫sin(y) dy = -cos(y) + C,

where C is the constant of integration.

Now, we have:

∬1 sin(y) dy dx = ∫[-cos(y) + C] dx.

Since we are integrating with respect to x, the integral of a constant (C) with respect to x is simply Cx. Therefore, we have:

∬1 sin(y) dy dx = ∫[-cos(y)] dx + ∫C dx.

The integral of -cos(y) with respect to x is:

-∫cos(y) dx = -x cos(y) + g(y),

where g(y) is the function of integration with respect to y.

So now we have:

∬1 sin(y) dy dx = -x cos(y) + g(y) + Cx + D,

where D is another constant of integration.

Since we don't have any limits of integration specified, we have indefinite integrals, and we cannot simplify the expression further without additional information or specific limits of integration.

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To find the nonpermissible replacement for y in the expression;

The nonpermissible replacement for y is the replacement for y at which the denominator of the expression is zero. (when the denomenator is zero, the final value can not be determined).

For the given expression, the denomenator is;

For y to be nonpermissible, the denometor must be equal to zero.

To get y, add 1 to both sides.

At y =1, the expression becomes;

Therefore, the nonpermissible replacement for y in the given expression is;

the probability of winning exactly 2 of the 5 times is 0.2048, or approximately 20.48%

Probability refers to the measure of the likelihood or chance of a particular event occurring. It is represented by a number between 0 and 1, with 0 denoting an impossibility and 1 denoting a certainty.

The formula for the binomial distribution can be used to resolve this issue:

P(X=k) = (n choose k) × pᵇ×(1-p)ⁿ⁻ˣ

where:

The number of trials, n, is five in this instance.

bis the number of successes we want (in this case, b = 2)

p is the probability of success on each trial (in this case, p = 0.20)

So, plugging in the values:

P(X=2) = (5 choose 2) ×0.20² × (1-0.20)⁵⁻²

= 10 × 0.04×0.512

= 0.2048

Therefore, the probability of winning exactly 2 of the 5 times is 0.2048, or approximately 20.48%.

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