8(7k+5m) simplify the expression

Answer:

<E is 65

Step-by-step explanation:

angle A is 90 degrees, and angles E and F are side by side with angle A, which makes them a linear pair, when you add the three of these angles you should be getting 180 degrees. Having this information in mind, we subtract 90 from 180 and get 90, which means that angles E and F together equal 90. Now since we have the measure of F, we can subtract measure of angle F from 90 and we get 65. ur welcome :)

So, there are 20 different mix-and-match plates that can be created by combining one savory and one sweet dish from Alejandra's Tapas Bar's menu.

To determine the number of different mix-and-match plates that can be created from Alejandra's Tapas Bar's menu, we need to calculate the number of options for both the savory and sweet dishes and then multiply them together.
Let's assume that there are 5 savory dishes and 4 sweet dishes on the menu. To create a mix-and-match plate, we need to choose one savory and one sweet dish. The number of options for the savory dish is 5, and the number of options for the sweet dish is 4. Therefore, the total number of different mix-and-match plates that can be created is:
5 x 4 = 20
Customers can choose any combination they like and can enjoy a unique dining experience each time they visit the restaurant.

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Answer:

Step-by-step explanation:                

\(\displaystyle\Large\boldsymbol{} x^4+2x^3-2x^2+2x-3= \\\\\\x^4+2x^2(x-1)+2x-\underbrace{2-1}_{-3}= \\\\\\x^4-1+2x^2(x-1)+2x-2 = \\\\\\(x^2-1)(x^2+1)+2x^2(x-1)+2(x-1) = \\\\\\\underline{(x-1)}(x+1)(x^2+1)+2x^2\underline{(x-1)} +2\underline{(x-1)} =\\\\\\(x-1)((x+1)(x^2+1)+2x^2+2)=\\\\\\(x-1)(x^3+x^2+2x^2+x+2+1)=\\\\\\(x-1)(x^3+3x^2+x+3) =\\\\\\(x-1)( \underline{(x+3)}x^2+\underline{(x+3)})=(x^2+1)\underbrace{(x-1)(x+3)}_{x^2+2x-3}= \\\\\\(x^2+1)(x^2+2x-3) : (x^2+2x-3)=x^2+1\)

The measure for each interior angle of triangle CAT is given as follows:

The angle measures are obtained considering that the sum of the measures of the internal angles of a triangle is of 180º.

The internal angles of triangle CAT, along with their measures are obtained as follows:

Considering that the sum of these three measures is of 180º, the value of x is obtained as follows:

15x + 5x + 40 + 10x + 20 = 180

30x = 120

x = 120/30

x = 4.

Then the angle measures are obtained as follows:

The problem is given by the image presented at the end of the answer.

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Answer:

5v is an equivalent expression for 6v + -1 ?

Answer:

5v is equivalent expression for 6v + -1

It would take 5040 cubic inches of water to completely fill the aquarium.

We know that the formula for the volume of cuboid :

V = length × width × height

Let us assume that l represents the length of the aquarium, w represent the width and h represents the height.

Here, l = 20 inches

w = 14 inches

and h = 18 inches

Using the formula for the volume of cuboid, the volume of aquarium would be,

V = l × w × h

V = 20 × 14 × 18

V = 5040 cu.in.

Therefore, it would take 5040 cu.in. of water.

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It is reasonable to estimate that about 40 students are in band.

To determine if it's reasonable to estimate that about 40 students are in band, we need to first find out how many students are on the debate team and how many participate in various sports.

We know that 2/5 of the students are on the debate team. So, the number of students on the debate team is:

2/5 x 260 = 104

We also know that 45% of the students participate in various sports. So, the number of students in sports is:

45% x 260 = 117

To find out how many students are in band, we can subtract the number of students on the debate team and the number of students in sports from the total number of seventh graders:

260 - 104 - 117 = 39

Thus, this number of students in band is reasonable.

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Yes, it is reasonable to estimate that about 40 students are in the band.

it is reasonable to estimate that about 40 students are in the band

To see why, let's break down the number of students in each activity based on the given information:

Debate team: 2/5 of 260 students = 104 students

Sports: 45% of 260 students = 117 students

Band: the remaining students after subtracting the debate team and sports participants = 260 - 104 - 117 = 39 students

So, according to this breakdown, there are 39 students in the band. Since the question asks if it's reasonable to estimate that about 40 students are in the band, the answer is yes.

However, it's important to note that this estimate is based on rounding and assuming that the given percentages are exact.

In reality, the actual number of students in the band could be slightly different.

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Answer:

A because its not the one that maintains congruence

Step-by-step explanation:

^^^^^

Multiplication and division of regular numbers are the same as fractions and we will learn them with the multiplication and division of rational numbers worksheet.

To do the multiplication, first find the greatest common divisor of the numerator and the denominator. The factors are then grouped together so that the score equals one. Then multiply by the remaining factors. To divide, first rewrite the division as multiplication by the inverse of the denominator.

Cuemath's interactive math worksheets contain visual simulations to help your child visualize the concepts being taught, "see things as they really are, and reinforce learning from them". The Rational Numbers Multiplication and Division Worksheet follows a step-by-step learning process that helps students better understand concepts, identify errors, and eventually develop strategies for solving future problems.

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Answer:

21

Step-by-step explanation:

2(2) +7

14+7

21

Answer:

11

Step-by-step explanation:

The correct statements among the given options are: a) The sum of two idempotents is an idempotent, and b) In a commutative ring with unity, every prime ideal is a maximal ideal.

a) The sum of two idempotents is an idempotent: An idempotent element in a ring is one that satisfies the property a^2 = a. If we take two idempotent elements, say a and b, then (a + b)^2 = a^2 + ab + ba + b^2 = a + ab + ba + b = a + a + b + b = a + b. Thus, the sum of two idempotent elements is also an idempotent element.

b) In a commutative ring with unity, every prime ideal is a maximal ideal: In a commutative ring with unity, a prime ideal is an ideal such that if the product of two elements belongs to the ideal, then at least one of the elements must belong to the ideal. A maximal ideal, on the other hand, is an ideal that is not a proper subset of any other ideal. In a commutative ring with unity, every prime ideal is also a maximal ideal.

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Answer:

a. x - cd = 0

b. d = 1 / 2

Step-by-step explanation:

d = 2

c = 7

a.

c is inversely proportional to d,

c ∝ 1 / d

This inversely proportional need to be removed by using a variation / variable.

Let the variable be " x ".

c = x / d

Multiply d on both sides,

cd = x

x = cd

Subtract cd on both sides,

x - cd = 0

Hence, the equation is " x - cd = 0 ".

b.

By using the equation,

x - cd = 0

Add cd on both sides,

x = cd

c = 17, d = 2

x = 17 * 2

x = 34

To find d, when c = 68.

x = cd

34 = 68 * d

Divide 68 on both sides,

34 / 68 = d

1 / 2 = d

d = 1 / 2

Answer:

Step-by-step explanation:

6 lol

Congress is empowered to create new federal courts and specify the number of judges who will sit on them, the correct answer is B.

Congress is empowered to create new federal courts and specify the number of judges who will sit on them. This power is granted to the legislative branch of the United States government by the Constitution.

Specifically, Article III of the Constitution establishes the judicial branch and gives Congress the power to create lower federal courts as necessary. This includes the ability to establish the number of judges who will serve on each court

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Domain: For sales, x > 0 (positive values); for returns, x < 0 (negative values).

Range: F(x) ≥ 0 (non-negative values).

The given function is defined as follows:

For x > 0 (sale): F(x) = |x| * 0.015

For x < 0 (return): F(x) = |x| * 0.005

The domain of the function is the set of all possible input values, which in this case is all real numbers. However, due to the specific conditions mentioned, the domain is restricted to positive values of x for the "sale" scenario (x > 0) and negative values of x for the "return" scenario (x < 0).

Therefore, the domain of the function F(x) is:

For x > 0 (sale): x ∈ (0, +∞)

For x < 0 (return): x ∈ (-∞, 0)

The range of the function is the set of all possible output values. Since the function involves taking the absolute value of x and multiplying it by a constant, the range will always be non-negative. In other words, the range of the function F(x) is:

For x > 0 (sale): F(x) ∈ [0, +∞)

For x < 0 (return): F(x) ∈ [0, +∞)

In conclusion, the domain of the function F(x) is x ∈ (0, +∞) for sales and x ∈ (-∞, 0) for returns, while the range is F(x) ∈ [0, +∞) for both scenarios.

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Answer:

FBC

Step-by-step explanation:

It's the only one at the front of the box

Answer:

FBC

Step-by-step explanation:

thats what it says on my sheet

The best reason to prefer the least-squares regression line that uses x to predict log(y) would be that the standard deviation of the residuals is smaller.

When we have a scatterplot that shows a positive, nonlinear association, we may attempt to transform the data to linearize the association.

In this case, two different transformations were attempted, using the logarithm of the y values and using the square root of the y values.

Two least-squares regression lines were then calculated, one that uses x to predict log(y) and the other that uses x to predict Vy.
To determine which of these regression lines is preferred, we need to consider several factors.

One important factor is the value of r2, which tells us how much of the variability in the response variable (y) is explained by the regression model.

A larger r2 indicates a better fit to the data.
However, in this case, the value of r2 alone may not be sufficient to determine which regression line is preferred.

Another important factor to consider is the standard deviation of the residuals, which measures how much the actual values of y deviate from the predicted values. A smaller standard deviation of the residuals indicates a better fit to the data.

Furthermore, we should also consider the slope of the regression line, which tells us the direction and strength of the relationship between x and y.

A greater slope indicates a stronger relationship.
In addition, we need to examine the residual plot, which shows the difference between the actual values of y and the predicted values.

A residual plot with more random scatter indicates a better fit to the data.

Finally, we should also consider the distribution of residuals, which should be approximately Normal. A more Normal distribution of residuals indicates a better fit to the data.

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I got radius= 54

arc/2pi r = degrees/360

then fill in what you know: 24pi/2pi r = 80/360

Now cross multiply and you get: 8640pi = 160pi r

Now divide both sides by 160pi and you get: 54= r

Answer:

B

Step-by-step explanation:

The second graph is the correct choice because the y-intercept is two, the graph is negative, and has a slope of m=3/1.

Answer:

5

Step-by-step explanation:

Square Root - Finding a number that multiplies itself twice into the number within the square root

With this meaning, we need to find a number that multiplies itself into 625.

Finding calculations using exponents will help,

25^2 is equal to 625. Therefore \(\sqrt{25}\)

We are not finished, as there is another square root right after, empowering the parenthesis, so what number multiplies itself equals 25?

This would be 5, therefore \(\sqrt{(\sqrt{625}) }\) is equal to 5.

Answer:

HELP*

Step-by-step explanation:

thats how u spell help ur welcome

bottom was cut off a bit its 4=b

Answer:

x=26

Step-by-step explanation:

5x-8×=-71-7

collect like terms and calculate

-3x=-78

divide both sides

then you get your answer ×=26

Answer:

( −4,2)

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

On solving the provided question, we cans ay that  in this triangle by Pythagorean theorem \(A^2 = B^2 + C^2\) => AC = \(\sqrt{115}\)

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here, in this triangle by Pythagorean theorem

\(A^2 = B^2 + C^2\)

AC = \(\sqrt{14^2 - 9^2}\)

AC  = \(\sqrt{196 - 81}\)

AC = \(\sqrt{115}\)

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Answer:

Step-by-step explanation:

0.63 hope this helps

The required value of probability can be found as 0.85. The correct option is (D).

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

The percentage of people having no, one, two and three or more injuries are given as 22%, 45%, 18% and 15% respectively.

Then, the probability of an event is equivalent to the percent value.

Now, the probability of skateboarders not having 3 or more injuries is given as,

⇒ 1 - P(Three or more injury)

⇒ 1 - 15/100

⇒ 0.85

Hence, the probability can be obtained for not having 3 or more injuries  as 0.85.

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The trapezoidal rule is a numerical integration method that frequently overestimates the real value of a function's definite integral.

The trapezoidal rule is a strategy for approximating the definite integral in calculus. The trapezoidal rule works by computing the area of the region under the graph of the function f(x) that is approximated as a trapezoid. The trapezoidal rule is commonly used to calculate the area under curves. This is achievable if the overall area is divided into smaller trapezoids rather than rectangles. The Trapezoidal Rule integration determines the area by approximating the area under a function's graph as a trapezoid. The midway rule uses rectangular areas to approximate the definite integral, whereas the trapezoidal rule uses trapezoidal approximations to approximate the definite integral. Simpson's approach works by first approximating the original function with piecewise quadratic functions.

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Complete question:

The trapezoidal rule is a numerical integration method that frequently overestimates the real value of a function's definite integral. True/False

Answer:

15x+(-10)y

Step-by-step explanation:

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

When you distribute the 5 it means you multiply it to everything inside the parentheses, so it'll be...

\(5*3x=15x\\5*-2y=-10y\\\)

so [15]x+[-10]y

The largest amount of soda such a cylindrical can can contain is V = πr²h.

The right circular cylinder has h = 2r.

The optimal shape for the can that maximizes its volume is a right circular cylinder. In a right circular cylinder, the base and the height are equal, and the top and bottom are circular.

To describe the optimal shape of the can, we need to consider its dimensions. Let's assume the radius of the base of the can is 'r', and the height of the can is 'h'.

The volume of a right circular cylinder is given by the formula:

V = πr²h

Since we have a fixed amount of aluminum, we can express the constraint as the total surface area of the can, which consists of the curved surface area and the top and bottom circular bases.

The total surface area of a right circular cylinder is given by the formula:

A = 2πrh + πr²

To optimize the shape of the can, we need to maximize the volume (V) while satisfying the constraint on the surface area (A).

dA/dr = 4πr - 2V/(r2) = 0

⇒ 4πr3 - 2V = 0

⇒ r3 = V/(2π)

⇒ r = (V/(2π))1/3

The second derivative of A with respect to r, that is, d²A/dr²,

We can now pass this value of r into our function h, giving us

h = V/(π(V/(2π))2/3)

= 22/3 x (V/π)1/3

= 2 x (V/(2π))1/3

h = 2r,

Thus, the right circular cylinder has h = 2r.

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