Find the measure of each angle indicated.
45°
?

Answer:

Hi and have a great day!

Step-by-step explanation:

Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.

To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.

First, let's isolate the absolute value term on one side of the equation:

|3x + 3| = -3

Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.

To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:

   3x + 3 = -3

   -(3x + 3) = -3

Solving equation 1:

3x + 3 = -3

3x = -6

x = -2

Solving equation 2:

-(3x + 3) = -3

-3x - 3 = -3

-3x = 0

x = 0

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EXPLANATION:

Given the equation:

9/3 + 6x2^3

Solving the power:

9/3 + 6x8

Multiplying number:

9/3 + 48

Simplifying the fraction:

3 + 48

Adding numbers:

51

The answer is 51

Step-by-step explanation:

0 the answer is definitely 0 I'm so smart totally

Answer:

0

Step-by-step explanation:

there's x0

Answer:

4 1/2

Step-by-step explanation:Because 2x2 =4 and 2x1/4 = 1/2 so it is 4 1/2

Applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

In geometry, a chord is defined as the line segment that joins two points on the circumference of a circle.

In a circle, if two chords are congruent, then they are equidistant from the center of a circle, according to the congruent chords theorem.

In the circle given, chords JK = LM = 12 units. This means both chords are congruent, therefore, they are equidistant from the center of the circle S.

According to the congruent chords theorem, NS = PS, thus:

8 = 2x - 6

8 + 6 = 2x

14 = 2x

Divide both sides by 2

14/2 = 2x/2

7 = x

x = 7

LP = 1/2(12)

LP = 6 units.

In summary, applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

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2 7/12

This is because 12/12 is equal to 1/1 or 1. So 12/12 + 12/12 = 2.

2 + 7/12= 2 7/12

Answer:

31

-----

12

Step-by-step explanation:

12         12           7         31

----  +  -------  +  -----  =  -------

12         12          12         12

Add the numerators together (top number) and keep the denominator the same (bottom number)

I hope this helps!

The mean absolute deviation is $106.6.

Given the table shows the amount Bill spent on 5 days last week.

DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.

Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,

the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:

Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406

The sum of all absolute deviations is:

10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.

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Answer:

Also, the more trials that you conduct in your experiment, the closer your calculations will be for the experimental and theoretical probabilities. The theoretical probability is 8.3% and the experimental probability is 4%. Although the experimental probability is slightly lower, this is not a significant difference.

Step-by-step explanation:

Answer:

the answer is 4

Step-by-step explanation:

Option d. 88 is the correct answer. A firm with an 8% dividend growth rate and a return on equity of 20% must have a plowback ratio of % of 88.

The equation for the payout proportion (P) is:

P = Profits/Income

The equation for the plowback proportion (PB) is:

PB = 1 - P

Where Profits is how much profits paid out, and Income is the net gain of the firm.

On the off chance that a firm has a profit development pace of 8% and a profit from value of 20%, then we can utilize the accompanying equation to compute its income:

Profit = Profits/(Return on Value - Profit Development Rate)

Connecting the numbers, we get:

Profit = Profits/(0.2 - 0.08) = Profits/0.12

Now that we know the recipe for income, we can find the payout proportion:

P = Profits/Income = Profits/(Profits/0.12) = 0.12

Lastly, the plowback proportion:

PB = 1 - P = 1 - 0.12 = 0.88

So the firm unquestionable necessity a plowback proportion of 88%. Subsequently, the right response is: 67%.

The plowback proportion is the piece of income that a firm holds as opposed to delivering as profits. It's determined as 1 short the payout proportion, which is the proportion of profits to income. To find the plowback proportion for a firm with a 8% profit development rate and 20% profit from value, you can utilize a recipe to find its income and afterward work out the payout proportion lastly deduct it from 1 to find the plowback proportion. The plowback proportion is 88%.

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The firm with an 8% dividend growth rate and a return on equity of 20% must have a plowback ratio of %. multiple choice question.

a. 40

b. 2.5

c. 67

d. 88

The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

Answer:

1.029 is greater than 1.0275

Step-by-step explanation:

Answer:

1.029

Step-by-step explanation:

What is greater 1.0275 or 1.029

.027 < .029

So, 1.029 is greater.

The function has three distinct real zeros.

The correct answer is A.

To determine the statement about the zeros of the graphed function, let's analyze the given information.

We have the following points on the graph:

(0.8, 4), (2, -4), (4.6, 0.5), (6, 0), and (7.5, 8)

Additionally, the function intercepts the x-axis at 1, 4, and 6 units.

To find the zeros of the function, we need to identify the x-values where the function intersects the x-axis.

From the given information, we know that the function intersects the x-axis at 1, 4, and 6 units.

These three x-values correspond to three distinct real zeros of the function.

The correct statement about the zeros of the graphed function is:

The function has three distinct real zeros.

The correct answer is A.

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1) 180°. All the interior angles in a triangle ALWAYS add to 180°.

2) x = 60°. As stated in 1), all angles in a traingle add to 180° so knowing this, x = 180 - 70 - 50 = 60°.

3) <A = 90, <B = 60, <C = 30. Knowing that all angles in a traingle add to 180, we can make an equation. 6x + 4x + 2x = 180 or 12x = 180. This means x is 15°. Now we just need to multiply it. 6x = 90, 4x = 60 and 2x = 30.

Here we need to Prove that ,

\(\bf\implies \sqrt[ab]{ \frac{ {x}^{a} }{ {x}^{b} } } . \sqrt[bc]{ \frac{ {x}^{b} }{ {x}^{c} } } . \sqrt[ca]{ \frac{ {x}^{c} }{ {x}^{a} } } = 1.\)

Lets start with LHS , which is ,

\(\bf\implies LHS = \sqrt[ab]{ \dfrac{ {x}^{a} }{ {x}^{b} } } . \sqrt[bc]{ \dfrac{ {x}^{b} }{ {x}^{c} } } . \sqrt[ca]{ \dfrac{ {x}^{c} }{ {x}^{a} } } \)

We know that ,

\(\bf\implies \sqrt[n]{k^m }= k^{\frac{m}{n}}\)

• So that ,

\(\bf\implies \sqrt[ab]{x^{a-b}} . \sqrt[bc]{x^{b-c}} .\sqrt[ac]{x^{c-a}} \\\\\bf\implies x^{\frac{a-b}{ab}} . x ^{\frac{b-c}{bc}} .x^{\frac{c-a}{ca}} \\\\\bf\implies x^{\frac{ ac - bc + ab - ac + bc - ba }{abc } }\\\\\bf\implies x^{\frac{0}{abc}} \\\\\bf\implies x^0 \\\\\bf\implies 1 = RHS \)

Hence ,

\(\implies \boxed{\bf \red{ LHS = RHS }} \)

\(\large\underline{\sf{Solution-}}\)

Consider LHS:

\(\sf= \sqrt[\sf ab]{\dfrac{\sf x^{a}}{\sf x^{b}}}\cdot \sqrt[\sf bc]{\dfrac{\sf x^{b}}{\sf x^{c}}}\cdot \sqrt[\sf ac]{\dfrac{\sf x^{c}}{\sf x^{a}}}\)

As we know that:

\(\sf\red\leadsto\dfrac{x^{a}}{x^{b}}=x^{a-b}\)

We get:

\(\sf= \sqrt[\sf ab]{\sf x^{a-b}}\cdot \sqrt[\sf bc]{\sf x^{b-c}}\cdot \sqrt[\sf ac]{\sf x^{c-a}}\)

We can also write it as:

\(\sf= x^{\dfrac{a-b}{ab}}\cdot x^{\dfrac{b-c}{bc}}\cdot x^{\dfrac{c-a}{ac}}\)

We know that:

\(\sf \red\leadsto x^{a}\cdot x^{b}=x^{a+b}\)

We get:

\(\sf= x^{\bigg(\dfrac{a-b}{ab}+\dfrac{b-c}{bc}+\dfrac{c-a}{ac}\bigg)}\)

\(\sf= x^{\bigg(\dfrac{c(a-b)+a(b-c)+b(c-a)}{abc}\bigg)}\)

\(\sf= x^{\bigg(\dfrac{ac-bc+ab-ac+bc-ab}{abc}\bigg)}\)

\(\sf= x^{\bigg(\dfrac{0}{abc}\bigg)}\)

\(\sf= x^{0}\)

\(\sf=1\)

\(\textsf{= RHS}\\\)

It is generally appropriate to calculate a probability about the difference in sample means when the sample sizes are large (typically n ≥ 30) and the populations are approximately normally distributed.

To determine if it is appropriate to calculate a probability about the difference in sample means, consider the assumptions and conditions for conducting a hypothesis test or constructing a confidence interval. The appropriateness of calculating a probability about the difference in sample means depends on the following factors:

1) Both population shapes are unknown. n1 = 50 and n2 = 100:

- It is generally appropriate to calculate a probability about the difference in sample means when the sample sizes are large (typically n ≥ 30) and the populations are approximately normally distributed. Since the population shapes are unknown in this case, it is difficult to assess this condition. However, the large sample sizes (n1 = 50 and n2 = 100) may suggest that it is reasonable to approximate the population distributions as normal. Therefore, calculating a probability about the difference in sample means could be considered.

2) Population 1 is skewed right and population 2 is approximately Normal. n1 = 50 and n2 = 10:

- In this case, the assumption of approximately normally distributed populations is violated for population 1, which is skewed right. When the population distributions are not approximately normal, it may not be appropriate to calculate a probability about the difference in sample means. The small sample size for population 2 (n2 = 10) may also limit the accuracy of any inference made based on this sample.

3) Both populations are skewed right. n1 = 5 and n2 = 10:

- Similar to the previous case, the assumption of approximately normally distributed populations is violated for both populations. Additionally, the small sample sizes (n1 = 5 and n2 = 10) may not provide sufficient information for reliable inferences. Therefore, it is generally not appropriate to calculate a probability about the difference in sample means in this situation.

4) Population 1 is skewed right and population 2 is approximately Normal. n1 = 10 and n2 = 50:

- Similar to case 2, the assumption of approximately normally distributed populations is violated for population 1, which is skewed right. In this case, the sample size for population 1 (n1 = 10) is also small, which may limit the accuracy of any inference made based on this sample. The larger sample size for population 2 (n2 = 50) might make it more reasonable to approximate the population distribution as normal. However, the violation of the assumption for population 1 suggests caution when interpreting the results. It is not generally appropriate to calculate a probability about the difference in sample means in this situation.

5) Both populations have unknown shapes. n1 = 50 and n2 = 100:

- Similar to case 1, the population shapes are unknown. However, the large sample sizes (n1 = 50 and n2 = 100) might suggest that it is reasonable to approximate the population distributions as normal. As mentioned before, calculating a probability about the difference in sample means could be considered in this case.

6) Both populations are skewed left. n1 = 5 and n2 = 40:

The assumption of approximately normally distributed populations is violated for both populations, as they are skewed left. Additionally, the small sample sizes (n1 = 5 and n2 = 40) may not provide sufficient information for reliable inferences. Therefore, it is generally not appropriate to calculate a probability about the difference in sample means in this situation.

Summarily, it is generally appropriate to calculate a probability about the difference in sample means when the sample sizes are large (typically n ≥ 30) and the populations are approximately normally distributed. However, when the population distributions are not approximately normal or when the sample sizes are small, it is generally not appropriate to calculate a probability about the difference in sample means.

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The coordinates of point H' include the following: H' (0, -1).

In Mathematics, the translation a geometric figure or graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image while the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.

By translating the pre-image of this trapezoid vertically downward by 2 units and horizontally right by 3 units, the coordinates of the image include the following:

(x, y)                               →                  (x + 3, y - 2)

E(-1, 4)                        →                  (-1 + 3, 4 - 2) = E' (2, 2).

H (-3, 1)                        →                  (-3 + 3, 1 - 2) = H' (0, -1).

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Answer:

36/25

Step-by-step explanation:

If you need help and nobody is answering you or they don't know how to do it. Look at picture below

Yes the are simailer because of SSS

Answer:

Step-by-step explanation:

You want a graph and the x-intercept of the line through (-3, 4) with y-intercept 1.

The slope formula gives you the slope you can use with the slope-intercept equation.

  m = (y2 -y1)/(x2 -x1)

One point is given as (-3, 4). The y-intercept is (0, 1), so the slope is ...

  m = (1 -4)/(0 -(-3)) = -3/3 = -1

Then the equation for the line is ...

  y = mx +b

  y = -1x +1

  y = -x +1 . . . . simplify

The x-intercept is the point that has y-coordinate 0:

  0 = -x +1

  x = 1 . . . . . . add x

The line crosses the x-axis at x

Answer:

THE ANSWER IS 81/16 OR C

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs.

We have,

The Pythagorean theorem that relates to the sides of a triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (known as the legs). Mathematically, it can be expressed as a² + b² = c², where "a" and "b" are the lengths of the legs, and "c" is the length of the hypotenuse.

Now,

In a right triangle, the legs are the two sides that form the right angle, and the hypotenuse is the side that is opposite to the right angle. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs. So, the relationship between the legs and the hypotenuse can be described by this theorem. In other words, if we know the length of the two legs of a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse, and vice versa. The hypotenuse is always the longest side of the right triangle, and it is also the side that connects the two legs.

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complete question:

Applying the Pythagorean Theorem In this activity, you will explain your understanding of mathematical relationships and use the Pythagorean theorem to solve real-world problems. Question 1 In your own words, explain the relationship between the legs and the hypotenuse of a right triangle.

Answer:

3 decimal points

Step-by-step explanation:

The trick here is to count the zeros.

The exponential function that can model the county population, y, x decades after Tiana was born, is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 in 6.6 decades after Tiana was born.

The definition of the exponential function is presented as follows:

\(y = a(b)^x\)

In which the parameters of the exponential function are presented as follows:

In the context of this problem, the values of these parameters are given as follows:

Hence the function is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 when y = 600000, hence:

\(y = 641000(0.99)^x\)

\(600000 = 641000(0.99)^x\)

\((0.99)^x = \frac{600000}{641000}\)

\(\log{(0.99)^x} = \log{\left(\frac{600000}{641000}\right)}\)

\(x\log{0.99} = \log{\left(\frac{600000}{641000}\right)}\)

\(x = \frac{\log{\left(\frac{600000}{641000}\right)}}{\log{0.99}}\)

x = 6.6 decades.

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Thus, the length of walk way around the filed is the perimeter of the right triangle which is found as: 206.023 m .

The quickest approach to determine a triangle's perimeter is to sum up all of its sides' lengths, but you must first determine each side's length if you don't already know it.

The walk way around the filed is the perimeter of the right triangle.

walk way = base + height + hypotenuse

walk way = B + P + H

base B = 80 - 10 = 70 m

Altitude P = 70 - 20 = 50 m

For the hypotenuse H , use the Pythagorean theorem:

H² = B² + P²

H² = 70² + 50²

H² = 4900 + 2500

H² = 7400

H = 86.023

So,

walk way = B + P + H

walk way = 70 + 50 + 86.023

walk way = 206.023 m

Thus, the  walk way around the filed is the perimeter of the right triangle which is found as: 206.023 m .

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Answer:

1 ft away from the motion detector.

Step-by-step explanation:

To calculate Xavier's distance we can assume that the motion detector would be represented as 0ft. Now we simply need to create the arithmetic expression for every step/action that Xavier performed. Finally, we would solve the expression to calculate Xavier's total distance from the motion detector.

5ft + (0.5ft * 4) + (-2ft * 3)

5ft + 2ft - 6ft

1ft

Finally, we can see that Xavier is 1 ft away from the motion detector.

Answer:

1 and 1/3

Step-by-step explanation:

1/3x4=1 and 1/3 cuz 1/3+1/3=2/3 and 2/3+2/3=4/3 and 4/3=1 and 1/3

Answer:

1 and 1/3 cups

Step-by-step explanation:

times the 1 by 4 to get 4/3 then make a proper fraction to get 1 and one third