24. 2(8 + 4c) = 32

Solve equationcheck your answer

Therefore, the rewritten statement means that the set containing 1 and 3 only is not a proper subset of {1, 4, 6}.

If every item in set A is also present in set B, the two sets are subsets of one another. To put it another way, the set B contains the set A. A and B are used in the connection for the subset.

We can use the symbols for sets and subset to rewrite the statement as follows:

{1, 3} ⊈ {1, 4, 6}

where {1, 3} represents the set containing 1 and 3 only, and {1, 4, 6} represents the set containing 1, 4, and 6. The symbol ⊈ means "not a proper subset of." Therefore, the rewritten statement means that the set containing 1 and 3 only is not a proper subset of {1, 4, 6}.

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The expression simplified can be written as:

16m +  8

Here we want to simplify the following expression:

(8m + 4) + (8m + 4)

To simplify, we start by removing the parenthesis:

8m + 4 + 8m + 4

Now we can change the order of the terms so we get:

8m + 8m + 4 + 4

Now we can group the like terms to get:

(8m + 8m) + (4 + 4)

And simplify this to get:

16m +  8

That is the simplified expression.

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The expression arcctg(tg(x)) simplifies to arcctg(tan(x)).

To simplify the expression arcctg(tg(x)), we can apply trigonometric identities and properties.

The function arcctg(x) is the inverse cotangent function, which is the angle whose cotangent is x. Similarly, tg(x) represents the tangent function.

First, let's simplify the expression inside the arcctg function, which is tg(x):

tg(x) = sin(x) / cos(x)

Now, we can substitute this value into the original expression:

arcctg(tg(x)) = arcctg(sin(x) / cos(x))

Using the property of inverse trigonometric functions, we can rewrite this as:

arcctg(sin(x) / cos(x)) = arcctg(1 / tan(x))

Now, we can simplify further using the identity:

1 / tan(x) = cot(x)

Therefore:

arcctg(1 / tan(x)) = arcctg(cot(x))

Using another identity, we know that the cotangent function is the reciprocal of the tangent function:

cot(x) = 1 / tan(x)

Therefore, we can simplify the expression to:

arcctg(cot(x)) = arcctg(1 / tan(x)) = arcctg(tan(x))

Finally, we arrive at the simplified expression:

arcctg(tg(x)) = arcctg(tan(x))

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Answer:

1. 48

2. 45

3. 32

4. B

Step-by-step explanation: Hope this help :D

Answer:

D

Step-by-step explanation:

Answer:

b ≈ 13.7

Step-by-step explanation:

use the panthagrean thereom

a^2 + b^2 = c^2

10^2 + b^2 = 17^2

100 + b^2 = 289

-100             -100

b^2 = 189

√b^2 = √189

b = 13.74772708486752

b ≈ 13.7

The length of the side a in the given right-angled triangle is 8 units.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

The given right-angled triangle has a base of 15 units and a hypotenuse of 17 units.

Therefore,

17² = 15² + a².

a² = 17² - 15².

a = \(\sqrt{289 - 225}\).

a = \(\sqrt{64}\).

a = 8 units.

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Answer:

156.234.698.735 you said highest 9 js

Answer:

Step-by-step explanation:

The correct definition of perpendicular lines is option 1: "Two lines that intersect in a way that forms right angles."

When two lines intersect to form four right angles (90-degree angles), they are said to be perpendicular to each other. The point at which the lines intersect is called the point of intersection.

Therefore, option 1 is the correct definitation of perpendicular lines.

Answer: 1. Two lines that intersect in a way that forms right angles.

Step-by-step explanation:

Hope this helped! :)

In this case, f(x) = 3(4)−5+ has been stretched and translated up from the parent function. The correct options are A & C.

The graph of the function f(x) = 3(4)−5+ has been transformed from the parent function by the following ways: Translation and vertical stretch of the parent function.

When a function is transformed from its parent function, the transformed function may be shifted up or down, left or right, or stretched or compressed horizontally or vertically from the parent function. In this case, f(x) = 3(4)−5+ has been stretched and translated up from the parent function.

What is a parent function? A parent function is the most basic function of a family of functions that retains its shape and behavior. The parent function serves as a template for all other functions in the family.

The properties and behavior of a function depend on the parent function, which acts as a standard for the transformation of a function from the parent function.

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The amount spent for other than groceries is $246.36.

Given that the money to spend this month = $410.60

Theresa uses 2/5 of the money to groceries.

So she spent on groceries = 410.60*(2/5) = 164.24

We have to subtract the spending on groceries from the total spending in order to find the required.

Then the amount spend other than groceries = 410.60-164.24 = 246.36

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The population of the  River City expanded by 10% between 2000 and 2010, and it is anticipated to grow by 8% between 2010 and 2020.

A number or ratio that is expressed as a fraction of 100 is known as a percentage in mathematics. There are also sporadic uses of the acronyms "pct.," "pct," and "pc." However, the percent sign "%" is widely used to signify it. There are no dimensions to the percentage amount. Percentages are essentially fractions because they have a numerator of 100. Put the percent sign (%) next to a number to indicate that it is a percentage. For instance, you would score a 75% if you answered 75 out of 100 questions on a test correctly (75/100). Divide the money by the total to get percentages, then multiply the result by 100. The formula (value/total) x 100% is used to determine the percentage.

given

population increase at a rate of 6.75% per year

then divide that number by the initial population and multiply by 100.

The population of the  River City expanded by 10% between 2000 and 2010, and it is anticipated to grow by 8% between 2010 and 2020.

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Answer:

C

Step-by-step explanation:

Subtract like-terms. -2y is the only variable that has a y and is therefore unaffected. 8x - x - x = 6x.

--- > 6x - 2y

The transformation applied to triangle ABC is a reflection over the y-axis.

Here we can see a coordinate axis with two triangles graphed on it. We assume that a transformation is applied to ABC to generate the image A'B'C'.

On the image we can see that the horizontal direction of the triangles changes, in both cases the vertex "b" is pointing towards the y-axis, and we also can see that the y-components of the vertices don't change.

Then we just have a refleciton over the y-axis, that is the transformation applied.

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Answer: -3x^2-3x+9

Step-by-step explanation:

-3(x^2+x-1)+12 = -3x^2-3x-3+12 = -3x^2-3x+9

Answer:

it will take 3 hour to paint the wall

Answer:

3 hours

Step-by-step explanation:

because  we know that 2 x 3 = 6 and 4 x 3 = 12 basically your finding the median. if the number of values is an even number, the median will be the average of the two middle numbers

Sentence: It will take 3 hours for 4 workers to paint the same wall.

We want to simplify

Solution

Thus, the answer is 5xy + 6y

OR

The answer is y(5x+ 6)

Answer: Factorize expression y(5x+6), simplify expression 5xy+6y.

Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

By looking at the matrix, we can say that matrix A is skew-symmetric. (option b)

To check whether a matrix is skew-symmetric, we need to verify if it satisfies the condition \(A^T\) = -A.

Taking the transpose of matrix A, we get:

\(A^T\) =  | 0 2 -3 |

         | -2 0 -1 |

         | 3 1 0 |

Subtracting A from \(A^T\), we get:

\(A^T\) - A = | 0 2 -3 |             | 0 -2 3 |

             | -2 0 -1 |      -       | 2 0 1 |

              | 3 1 0 |               | -3 -1 0 |

=      | 0 4 -6 |

       | -4 0 -2 |

       | 6 2 0 |

Since \(A^T\) - A is equal to the negative of A, we can conclude that matrix A is skew-symmetric. This means that the elements on the main diagonal are all zero, and the elements below the main diagonal are the negatives of the corresponding elements above the main diagonal.

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Answer:

Yes. There is enough evidence to support the claim that college students who pay their credit card balance in full each month have a mean balance that is lower than $905.

Step-by-step explanation:

We want to test the claim that college students who pay their credit card balance in full each month have a mean balance that is lower than $905.

To perform this test we have a sample of 500 students which have paid their balance in full each month. The sample mean is $825 and the estimated sample deviation is considered $200.

Then, the null and alternative hypothesis are:

\(H_0: \mu=905\\\\H_a:\mu< 905\)

The significance level is 0.05.

The sample has a size n=500.

The sample mean is M=825.

The estimated standard error of the mean is computed using the formula:

\(s_M=\dfrac{s}{\sqrt{n}}=\dfrac{200}{\sqrt{500}}=8.94\)

Then, we can calculate the t-statistic as:

\(t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{825-905}{8.94}=\dfrac{-80}{8.94}=-8.94\)

The degrees of freedom for this sample size are:

\(df=n-1=500-1=499\)

This test is a left-tailed test, with 499 degrees of freedom and t=-8.94, so the P-value for this test is calculated as (using a t-table):

\(\text{P-value}=P(t<-8.94)=0\)

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that college students who pay their credit card balance in full each month have a mean balance that is lower than $905.

Answer: Let x be the amount of Jane's paycheck.

We know that:

surfboard cost = $289

and jane used $68 more than two fifths of her last paycheck to purchase a new surfboard.

So we can set an equation as:

surfboard cost = 2/5 x + $68

289 = 2/5 x + 68

Now we can substitute the known value in the above equation:

289 = 2/5 x + 68

221 = 2/5 x

x = (2215) / 2 = 115 = 55

So the amount of her paycheck is $55.

Therefore, jane's last paycheck was $55.

Step-by-step explanation:

The answer of the given question based on the matching  the equation with the graph is , Y=3x -5 , Y= -5x + 3  , Y= x - 1  , Y= (x + 3)² -2  , Y= 1/2x + 2 , Y= x .

An equation is  mathematical statement that shows that two expressions are equal. It consists of two sides, left-hand side (LHS) and right-hand side (RHS), separated by equal sign (=). The LHS and RHS may contain numbers, variables, and mathematical operations like addition, subtraction, multiplication, and division. The purpose of an equation is to solve for the value of an unknown variable.

Equations are used in many areas of mathematics and science, including algebra, calculus, physics, and engineering. They are essential for modeling and solving real-world problems and are a fundamental tool for understanding the natural world.

Here are the equations that match the graphs in the given image:

Y=3x -5 (Line passing through points (0,-5), (1,-2), and (2,1))

Y= -5x + 3 (Line passing through points (0,3) and (1,-2))

Y= x - 1 (Line passing through points (0,-1) and (1,0))

Y= (x + 3)² -2 (Parabola opening upwards with vertex at (-3,-2))

Y= 1/2x + 2 (Line passing through points (0,2) and (2,3))

Y= x (Line passing through points (-2,-2), (0,0), and (2,2))

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answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Answer:

c if not then d but c

Step-by-step explanation:

Answer:

\(\boxed{\tt A. \;y = .613x + 4.142}\)

Step-by-step explanation:

Equation: (y-y_1)=y_2-y_1/x_2-x_1 (x-x_1)

Here,

\(\tt (x_1,y_1):(-2,2.9)\)

\(\tt (x_2,y_2): (-3.5,2)\)

\(\tt y-2.9=\cfrac{(2-2.9)}{(-3-5-(-2))} (x-(-2))\)

\(\tt y-2.9=\cfrac{-0.9}{-1.5} (x+2)\)

\(\tt y-2.9=0.6(x+2)\)

\(\tt y-2.9=0.6x+1.2\)

\(\tt y=.613x+4.142\)

___________________

Hope this helps you!

Have a nice day!

Answer:

I'm assuming that the answer is -10

Step-by-step explanation:

Because you are being asked to subtract a negative, the two negative signs cancel each other out to make the equation -35+25. So the answer is -10.

Answer:

-1/5 im right hope all of you have a wonderful day

Step-by-step explanation:

Answer:

5.6

Step-by-step explanation:

We want to find the value of x, which is part of the segment that includes the length 10.

We need to use Power of Points, one property of which essentially says that if we have two intersecting chords such that they are each cut into two parts to make a and b, and c and d, then ab = cd (see attachment).

Here, we can say that a = 10, b = x, c = 7, and d = 8. Plug these in:

ab = cd

10 * x = 7 * 8

10x = 56

x = 56/10 = 5.6

The answer is 5.6.

Each diagonal has two parts (a, b, c, and d).

The formula is ab = cd

We have the values:

a = 10

b = x

c = 8

d = 7

Put these in the formula:

10x = (8)(7)

Solve for x.

10x = (8)(7)

10x = 56

10x/10 = 56/10

x = 5.6

Therefore, the answer is x = 5.6

Best of Luck!

Answer:

44

Step-by-step explanation:

√4×-6+8×6+8=2×-6+48+8

-12+48+8

=48

Hey there!

4x^2 - 8x + 8

= 4(-6)^2 - 8(-6) + 8

= 4(6)(6) - 8(-6) + 8

= 4(36) - (-48) + 8

= 144 - (-48) + 8

= 144 + 48 + 8

= 192 + 8

= 200

Therefore, your answer is: 200

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)