simplify (4u)^2
write your answer without parenthesis

Answer:

x= 180-47= 133

Step-by-step explanation:

taking line 1 parallel to line 2,

by vertically opposite angles....int angle be 47

as sum of supplement angles be 180....

Answer:

137°

Step-by-step explanation:

47 vertically opposite and then you'll say 180°- 47° that will be your 137°

Answer:

12x-12

Step-by-step explanation:

since 2x+10x is 12x and you cant do anything about -12 because it doesnt have any x's

Answer:

c

Step-by-step explanation:

Answer:

C on edge just took the quiz

Step-by-step explanation:

Answer: -21s-86

Step-by-step explanation:

Distribute the -1 to the 14s+9 (this means multiply-1 and 14s, then multiply -1 and 9) to get -14s-9. Then distribute the -7 to the s+11 (this mean multiply -7 and s, then multiply -7 and 11) to get -7s-77. You will now have the equation -14s-9-7s-77. Simplify this by adding like terms (-14s-7s) and (-9-77) you will get the equation: -21s-86

Distributing -(14s+9)-7(s+11) gives -14s -9 -7s -77; and further simplification results into -21s -86

From the question,

We are to distribute -(14s+9)-7(s+11)

To do this,

We will clear the bracket by distributing the terms outside

That is,

-(14s+9)-7(s+11) becomes

-14s -9 -7s -77

Now, if desired, we can simplify further by collecting like terms

-14s -9 -7s -77

-14s -7s -9 -77

Then, we get

-21s -86

The simplified expression is -21s -86

Hence, distributing -(14s+9)-7(s+11) gives -14s -9 -7s -77; and further simplification results into -21s -86

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Answer:

a)5x+6

b) 8y+11

c) 8k+7m

d) 8u+2v

e) 5n+3

f) 3p-4q

Step-by-step explanation:

3x+2x=5x       5+1=6

8+3=11        7y+y=8y (basically a 1 in front of the y so just pretend it has a 1 in front of it)

2k+6k=8k             3m+4m=7m

7u+u=8u           v+v=2v    (same thing like before imagine a 1 in front of all non-coefficient variables.)

8n-3n=5n           5-2=3

4p-p= 3p              7q-3q= 4q

:)

Answer:

The answers are below. All you need to do is add the numbers with the same variable (letter) and if they do not have the same variable, then you cannot add them and leave as is.

You also need to add the numbers with no variables together.

Step-by-step explanation:

a)5x+6

b) 8y+11

c) 8k+7m

d) 8u+2v

e) 5n+3

f) 3p-4q

(11) The measure of angle IGJ is  46⁰.

(12) The measure of arc JH is determined as 138⁰.

The measure of the arc or central angle indicated is calculated as follows;

(11) The measure of angle IGJ is calculated as follows;

m∠LGK =  arc angle LK (interior angle of intersecting secants)

m∠LGK = 48⁰

m∠HGI = m∠LGK = 48⁰ (vertical opposite angles are equal)

m∠IGJ + m∠HGI + m∠JGK = 180⁰  (sum of angles in a straight line)

m∠IGJ + 48⁰ + 86⁰ = 180

m∠IGJ = 180 - 134

m∠IGJ = 46⁰

(12) The measure of arc JH is calculated as follows;

arc JH = arc JI + arc IH

arc JI = arc FG

arc FG = 180 - 137⁰ (sum of angle in a straight line)

arc FG = 43⁰

arc FG = arc JI (vertical opposite angles are equal)

arc JH = arc JI + arc IH

arc JH = 43⁰ + 95⁰

arc JH = 138⁰

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i) Xi(f) = 5rect(f/2007)e^(-j2πft) | ii) Xz(f) = 5rect((f-400)/2007) | iii) X3(f) = 1 - 3*5rect(f/2007) + 1400(X(f) * X(f)) | iv) X(f) = 5rect(f/5)

we'll use properties of the Fourier transform and the given function x(t) = 5sinc(2007).

i) For xi(t) = -4x(t-4):

Using the time shifting property of the Fourier transform, we have:

Xi(f) = X(f)e^(-j2πft)

Since x(t) = 5sinc(2007), the Fourier transform X(f) of x(t) is given by:

X(f) = 5rect(f/2007)

Thus, substituting the values, we have:

Xi(f) = 5rect(f/2007)e^(-j2πft)

ii) For xz(t) = e^(j400)lx(t):

Using the frequency shifting property of the Fourier transform, we have:

Xz(f) = X(f - f0)

Since x(t) = 5sinc(2007), the Fourier transform X(f) of x(t) is given by:

X(f) = 5rect(f/2007)

Substituting the value f0 = 400, we have:

Xz(f) = 5rect((f-400)/2007)

iii) For X3(t) = 1 - 3x(t) + 1400xlx(t):

Using the linearity property of the Fourier transform, we have:

X3(f) = F{1} - 3F{x(t)} + 1400F{x(t)x(t)}

Since x(t) = 5sinc(2007), the Fourier transform X(f) of x(t) is given by:

X(f) = 5rect(f/2007)

Using the Fourier transform properties, we have:

F{x(t)x(t)} = X(f) * X(f)

Substituting the values, we have:

X3(f) = 1 - 3*5rect(f/2007) + 1400(X(f) * X(f))

iv) For X(t) = cos(400ft)x(t):

Using the modulation property of the Fourier transform, we have:

X(f) = (1/2)(X(f - 400f) + X(f + 400f))

Since x(t) = 5sinc(2007), the Fourier transform X(f) of x(t) is given by:

X(f) = 5rect(f/2007)

Substituting the value f = 400f, we have:

X(f) = 5rect((400f)/2007)

Simplifying, we have:

X(f) = 5rect(f/5)

To sketch the magnitude spectrum, Xo(f), we plot the magnitude of the Fourier transform for each case using the given formulas and the properties of the Fourier transform.

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Answer:

1.7 or 1 7/10

Step-by-step explanation:

Answer:

\( \frac{17}{16} = 1 \frac{1}{16} \)

Step-by-step explanation:

\(4 \frac{1}{4} \div 2 \frac{1}{2} \\ \frac{17}{4} \div 2 \times \frac{1}{2} \\ \frac{17}{4} \times \frac{1}{2} \times \frac{1}{2} \\ \)

\( \boxed{Answer:{\boxed{\green{= \frac{17}{16} = 1 \frac{1}{16} }}}}\)

Answer:

The length of the longer ladder is 35 ft

Step-by-step explanation:

Please check the attachment for a diagrammatic representation of the problem

We want to calculate the length of the longer ladder ;

We make reference to the diagram

Since the two right triangles formed are similar. the ratios of their sides are equal;

Thus;

20/15 = 28/x + 15

20(x + 15) = 15(28)

20x + 300 = 420

20x = 420-300

20x = 120

x = 120/20

x = 6

So we want to calculate the hypotenuse of a right triangle with other sides 28ft and 21 ft

To do this, we use the Pythagoras’ theorem which states that square of the hypotenuse equals the sum of the squares of the two other sides

Let the hypotenuse be marked x

x^2 = 28^2 + 21^2

x^2 = 1,225

x = √1225

x = 35 ft

Yes, √3x² - 2x is a polynomial.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

√3x² - 2x

This is in the form of ax² - bx

This is a polynomial with degree 2.

Thus,

√3x² - 2x is a polynomial.

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Answer:

5(-4)-7(6)=-62

The temperature rises by 10 degrees in 1 hour

From the question, we have the following parameters that can be used in our solution:

Rise in the temperature = 2 1/2 degrees

Number of hours = 1/4 hours

From the above parameter, we can calculate the rise in the temperature in one hour using the constant of proportionality formula

The constant of proportionality is calculated as

Constant of proportionality = Rise in the temperature /Number of hours

Substitute the known values in the above equation

Constant of proportionality = (2 1/2)/(1/4)

Evaluate the quotient

Constant of proportionality = 10

Hence, the rise in the temperature in one hour is 10 degrees per hour

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The answer is: log(8) + 3log(x)

Answer:

360

Step-by-step explanation:

You could pretend that the smaller shape has sides 5 and 8, because 5x8=40.

The side 5 would be 15, and the side 8 would be 24.

15x24=360

Answer:

360

Step-by-step explanation:

sorry if wrong I just had this question but it doesn't let me see if I got answer right or wrong ever lol

Given:

The equation is

Required:

Find the non-zero solution to the equation.

Explanation:

The given equation is

Rewrite the equation as:

Divide both sides by 2.

Take cube on both sides.

Take out common x

Find the factor by using the formula

Final Answer:

Thus the non-zero solutions to the given equation are x =27, -27.

(1) No, €7 is not an element of the set {7}.

(2) There is only one element in the set {7, 7, 7, 7, 7, 7}.

(3) There are two elements in the set {0, {0}}.

(4) No, {0} is not an element of the set {{0}, {1}}.

(5) Yes, 0 is an element of the set {{0}, {1}}.

(1) The set {7} contains only the element 7, so €7, which represents the currency Euro, is not an element of this set.

(2) In the set {7, 7, 7, 7, 7, 7}, all the elements are the same, namely 7. Therefore, there is only one distinct element in this set.

(3) The set {0, {0}} contains two elements: 0 and the set {0}. The element {0} is considered distinct from the numerical value 0, so they are counted as separate elements.

(4) The set {{0}, {1}} contains two elements: the set {0} and the set {1}. The element {0} is not the same as the set {0}, so {0} is not an element of the set {{0}, {1}}.

(5) The number 0 is an element of the set {{0}, {1}} because it is one of the values present in the set. Therefore, 0 is an element of the set.

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Therefore, according to the squeeze theorem, the limit of x^2 cos(1/x^2) as x approaches 0 is also 0: lim(x→0) x^2 cos(1/x^2) = 0.

To prove that lim(x→0) x^2 cos(1/x^2) = 0, we can use the squeeze theorem.

First, we establish the following inequalities:

-1 ≤ cos(1/x^2) ≤ 1

Since -1 ≤ cos(1/x^2) ≤ 1 for all values of x, we can multiply each side of the inequality by x^2 to obtain:

-x^2 ≤ x^2 cos(1/x^2) ≤ x^2

Now, we need to evaluate the limits of the lower and upper bounds as x approaches 0:

lim(x→0) -x^2 = 0

lim(x→0) x^2 = 0

Since both lower and upper bounds approach 0 as x approaches 0, we can conclude that the function x^2 cos(1/x^2) is "squeezed" between these two functions.

Thus, the statement is proven.

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The mode salary of a major league baseball player being $600,000 means that more major league baseball players earn $600,000 than any other salary. In this context, "mode" represents the most frequently occurring value in a data-set, which, in this case, is the salaries of major league baseball players.

The correct answer to this question is (a) more major league baseball players earn $600,000 than any other salary. The mode is the value that appears most frequently in a dataset, and in this case, it means that $600,000 is the most common salary among major league baseball players. This doesn't necessarily mean that it's the middle salary or the average salary, as those would be the median and mean respectively. It also doesn't mean that no player makes less than $600,000, as there may be some players who earn less than this amount. Therefore, the correct answer is (a), which is the only option that accurately reflects what the mode represents in this context.

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Answer: hey I actually just finished learning about this in math.

Step-by-step explanation: the graph is a function, because it passes the vertical line test

Answer:

600 feet.

Step-by-step explanation:

1 hour and 15 minutes is equal to 75 minutes.

Therefore,

8 times 75 equals 600 feet.

The odds of 20:1 for the Americas Newest NFL team winning the Super Bowl mean that the probability of them winning the Super Bowl is 1/21 or approximately 0.0476.

In betting or gambling terminology, odds of 20:1 indicate the ratio of the likelihood of an event occurring to the likelihood of it not occurring. In this case, the odds of 20:1 for the Americas Newest NFL team winning the Super Bowl mean that for every 20 times they are expected not to win, there is 1 time they are expected to win.

To calculate the probability from odds, you would use the formula:

Probability = 1 / (Odds + 1)

Using this formula, the probability of the Americas Newest NFL team winning the Super Bowl can be calculated as:

Probability = 1 / (20 + 1) = 1/21 ≈ 0.0476

So, the correct interpretation is that based on the odds of 20:1, the probability of the Americas Newest NFL team winning the Super Bowl is approximately 0.0476 or 4.76%.

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Answer:

third one

Step-by-step explanation:

can you help me with my question In the extended simile of the underlined passage from Paragraph 15 of "A Wagner Matinee," the narrator makes an observation about the soul that aring rokol been A. it is like a strange moss on a dusty shelf that, with excruciating suffering, can wither and die y for I the be B though after excruciating suffering it may seem to wither, the soul never dies, C. excruciating, interminable suffering that goes on for half a century can kill the soul.

Answer:

Step-by-step explanation:

Using standard deviation method, the residual value when x is 6 is,

y = 7.

The discrepancy between the actual value and the expected value is known as a residual. The residual would be the vertical gap between the actual value and the line of best fit in a scatter plot with a line of best fit. This is the general shape of the residual: -predicted.

As a result, residual has a value of -1.

The linear regression equation given is,

y = -2x + 10

The value when x = 6,

y' = -2 × 6 + 10

y' = -2

Now, the observed value is given as, y = 5.

Now, the residual value is,

y - y'

= 5 - (-2)

= 5+ 2

=7

Therefore, the residual value = 7.

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It is proved that the two properties of the Jacobi symbol:

(a) if a ≡ b (mod n), then (na) = (nb),

(b) (na)(nb) = (nab), demonstrating the relationships between the Jacobi symbol, congruence, and the product of integers.

(a) To prove the first property, let's assume that a and b are congruent modulo n, i.e., a ≡ b (mod n).

We need to show that (na) = (nb). By the definition of the Jacobi symbol, we have (na) = (3a)e3⋅(5a)e5⋅(7a)e7⋯ and (nb) = (3b)e3⋅(5b)e5⋅(7b)e7⋯. Since a ≡ b (mod n), it follows that for each prime factor p of n, we have ap ≡ bp (mod p).

Therefore, the exponents in both (na) and (nb) corresponding to the prime factors of n will be the same, resulting in (na) = (nb).

(b) To prove the second property, we need to show that (na)(nb) = (nab). By expanding the Jacobi symbols using their definition, we have (na)(nb) = (3a)e3⋅(5a)e5⋅(7a)e7⋯(3b)e3⋅(5b)e5⋅(7b)e7⋯.

By the laws of exponents, this can be simplified to (3ab)e3⋅(5ab)e5⋅(7ab)e7⋯, which is equivalent to (nab) based on the definition of the Jacobi symbol.

Therefore, we have proved the two properties of the Jacobi symbol: (a) if a ≡ b (mod n), then (na) = (nb), and (b) (na)(nb) = (nab), demonstrating the relationships between the Jacobi symbol, congruence, and the product of integers.

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If we start with one penny and double the amount each day for 30 days, we will have a total of $10,737,418.23 at the end of the month.

To find the total amount of money after 30 days using a geometric series, we can start by noting that the amount of money earned each day is double the amount earned the previous day. If we let P be the initial penny on the first day, then the amount earned on the second day is 2P, the amount earned on the third day is 2(2P) = 2²P, the amount earned on the fourth day is 2(2²P) = 2³P, and so on. We can write the total amount of money earned over 30 days as:

P + 2P + 2²P + 2³P + ... + 2²⁹P

This is a geometric series with first term P and common ratio 2. We can use the formula for the sum of a geometric series to find the total amount of money earned:

total = P(1 - 2³⁰)/(1 - 2) = P(1 - 2³⁰)/(-1)

Simplifying this expression, we get:

total = P(2³⁰ - 1)

Substituting P = $0.01 (one penny), we get:

total = $0.01(2³⁰ - 1) = $10,737,418.23

Therefore, if we start with one penny and double the amount each day for 30 days, we will have a total of $10,737,418.23 at the end of the month.

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The diagonals of a parallelogram bisects each other, which means...

3f+5=4f

3g=9

Now we just need to solve for the variables.

5=f

also getting

f=5

then

g=3

Hope this helped if you have any questions about this just ask in the comment and I will answer them.

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:

98

Step-by-step explanation: