Which of the following angles can be added together to create 132°? Explain your answer using words.


30° 52° 25° 35° 20°
132°

Answer:

A

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

\(4^x=(1/8)^{x-5} \\\\\\(2^2)^x=(2^{-3})^{x-5} \\\\\\2^{2x}=2^{-3x+15} \\\\\\2x=-3x+15 \\\\\\5x=15 \\\\\\x=3\)

Hope this helps!

Answer:

It will be Fourth of July in 7 weeks.

Step-by-step explanation:

Since you know that there are seven days in a week, you can use a rule of three to find the amount of weeks in 49 days that is the number of days until Fourth of July:

 7 days    →    1 week

49 days    →        x

x=(49*1)/7

x=7

According to this, the answer is that it will be Fourth of July in 7 weeks.

The appropriate measure of variation (spread) for these data is the standard deviation, which is 2.287.

The appropriate measure of variation (spread) for these data is the standard deviation. Standard deviation is a measure of how much the data values vary from the mean (average) of the data set. It is calculated by taking the square root of the variance, which is the average of the squared differences between each data value and the mean.

To calculate the standard deviation for this data set, follow these steps:

1. Find the mean of the data set by adding up all of the data values and dividing by the total number of values. In this case, the mean is (4 + 7 + 2 + 3 + 4 + 2 + 1 + 3 + 9 + 8 + 5 + 1 + 3 + 2 + 3 + 2 + 4 + 3 + 6 + 5) / 20 = 3.65

2. Find the variance by subtracting the mean from each data value, squaring the result, and then finding the average of these squared differences. The variance for this data set is ((4 - 3.65)^2 + (7 - 3.65)^2 + (2 - 3.65)^2 + ... + (6 - 3.65)^2 + (5 - 3.65)^2) / 20 = 5.2275

3. Take the square root of the variance to find the standard deviation. The standard deviation for this data set is sqrt(5.2275) = 2.287

Therefore, the appropriate measure of variation (spread) for these data is the standard deviation, which is 2.287.

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Answer:

wowwowowowowowowwowowowwowowow

The total amount of money collected by the shop on Monday is $13410.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

During a sale, a shop sold diaries at $18 each.

One diary was given free with every 3 diaries bought.

Now,

A.  the maximum number of diaries that could be bought with $500;

=500/18=27.7

Free diaries with 27 diaries=27/3=9

B. Number of diaries company will receive;

=740/18=41

Free diaries=41/3=13

Total diaries company will get= 41+13=54

C.  The total amount of money collected;

1/5th of 745=149

Diaries left=745-149=596

Cost= 745*18=13410

Therefore, by algebra the cost of diaries will be $13410.

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Triangle with sides AB = 8cm , CA = 5cm , BC = 7cm and AB = 7cm , BC = 10cm , CA = 8cm can construct a Triangle.

Condition : For forming the triangle, the sum of two sides must be greater than the third side.

a.  AB = 4cm, CA = 3cm, BC = 10cm

   CA+BC=AB

   3+1=4

   4=4

Therefore, it cannot form a triangle because it is not satisfying the condition.

b.  AB = 8cm , CA = 5cm , BC = 7cm

    AB+CA>BC

    AB+BC>CA

    CA+BC>AB

    Therefore, it can form a triangle because it satisfies the condition.

c.  AB = 7cm, BC = 10cm, CA = 8cm

   AB+BC>CA

   AB+CA>BC

   BC+BC>AB

  Therefore, it can form triangle because it satisfies the condition.

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Answer:

The standard deviation of the sampling distribution of the sample wait times is of 0.8 minutes.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30. Otherwise, the mean and the standard deviations holds, but the distribution will not be approximately normal.

Standard deviation 4 minutes.

This means that \(\sigma = 4\)

A sample of 25 wait times is randomly selected.

This means that \(n = 25\)

What is the standard deviation of the sampling distribution of the sample wait times?

\(s = \frac{4}{\sqrt{25}} = 0.8\)

The standard deviation of the sampling distribution of the sample wait times is of 0.8 minutes.

If we simplify the quotient of algebraic expressions we get the following:

therefore, the restriction is x different of 0

Answer:

a y a r d = a 2 y r d a y a r d = a 2 y r d

Step-by-step explanation:

The complete factorization of the polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

A polynomial is an expression consisting of coefficients and variables forming an equation.

Given the polynomial:

x³ + 2x² -x - 2

Factorizing:

= (x + 2)(x² - 1)

= (x + 2)(x + 1)(x - 1)

The polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

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Answer:

Step-by-step explanation:

500

Answer:

-9

Step-by-step explanation:

Given :-

And we need to find out the common difference of the Arithmetic sequence . The common difference of a Arithmetic sequence is the number which is added to a term to obtain the next term of the sequence . And it can be obtained by subtracting the consecutive terms.

Sequence :-

\(:\implies\) -5 , -14 , -23

Common difference :-

\(:\implies\) CD = -14 -(-5) = -14+5=-9

\(:\implies\) CD = -23-(-14) = -23+14=-9

Hence the common difference is (-9) .

Answer:

(2,0)

Step-by-step explanation:

y=24x-48

The graph of the line y = 4x + 3 is shown below.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

y = 4x + 3

When x = 0, y = 3

When x = 1, y = 4 + 3 = 7

When x = 2, y = 11

Similarly for negative x values, we get,

x = -1, y = -4 + 3 = -1

x = -2, y = -8 + 3 = -5

So on......

So we must get the following coordinates:

(-1, -1), (-2, -5), (0, 3), (1, 7), (2, 11),, ........

Thus,

The graph is shown below.

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Answer:

c. 55.4%

Step-by-step explanation:

We calculate what percentage this year's bill of $862.40 is compared to last year's bill of $1935.67.

862.4/1935.67 × 100% = 44.55304%

Since this year's bill is 44.6% of last year's bill, the percent saved is

100% - 44.6% = 55.4%

Answer: c. 55.4%

Answer:

3/4 of a foot

Step-by-step explanation:

2 (1/4) = (2 X 4 + 1) /4 = 9/4.

she only needs a third.

1/3 X 9/4 = 3/4.

she only needs 3/4 of a foot

Answer:

$5,300*0.13 = $689*52 = $35,828

Step-by-step explanation:

Answer:  1 1/8 or 9/8

Step-by-step explanation:

5 1/2-4 3/8= 1/ 1/8

The total number of pizzas that can be made if, Pizzarific pizza parlor has 3 different sizes, 4 choices of crust, 3 choices of sauce, 3 choices of cheese, and 10 different toppings is 1080.

A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.

Given:

Pizzarific pizza parlor has 3 different sizes, 4 choices of crust, 3 choices of sauce, 3 choices of cheese, and 10 different toppings,

Calculate the total number of different pizzas as shown below,

The total number of different pizzas = Size × Choice of crust × choice of sauce × choice of cheese × choice of topping

The total number of different pizzas = 3 × 4 × 3 × 3 × 10

The total number of different pizzas = 1080,

Thus, the number of different pizzas is 1080.

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Answer:

Step-by-step explanation:

9x² + 18x + 9

Factor out 9 from the expression

That's

9( x² + 2x + 1)

Using the identity

a² + 2ab + b² = ( a + b)² factor the expression

We have the final answer as

Hope this helps you

If the tire's radius is changed from 25 cm to 24 inches, the function representing the tire's rotation would require adjustment, incorporating the new radius in its equation. The graph would also change, displaying a slightly different shape and scale due to the alteration in units and resulting adjustments in the function.

When the tire's radius is changed from 25 cm to 24 inches, the function representing the tire's rotation would need to be modified. The original function, which might have been something like f(x) = 2π(25x), where x represents the number of rotations, would now need to incorporate the new radius. Using the conversion factor of 1 inch = 2.54 cm, the adjusted function would become f(x) = 2π(24x/2.54).

The graph representing the function would also be affected by this change. With the new radius, the graph would display a slightly different shape and scale compared to the original one. The x-axis, which represents the number of rotations, would remain the same, but the y-axis, representing the distance traveled, would be altered due to the change in units. The graph's curvature and overall appearance might be slightly different, reflecting the adjustment made to the function.

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Answer:

Area = pi r^2

Step-by-step explanation:

Answer:

Area=pi x r^2

Step-by-step explanation:

Answer:

84 m

Step-by-step explanation:

Perimeter of the park = perimeter of rectangle + perimeter of 2 semicircles

62

Check the picture below.

well, let's take a peek at the distances of each side.

\(~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad B(\stackrel{x_2}{4}~,~\stackrel{y_2}{3}) ~\hfill AB=\sqrt{[ 4- 0]^2 + [ 3- 0]^2} \\\\\\ ~\hfill AB=\sqrt{25}\implies \boxed{AB=5} \\\\\\ B(\stackrel{x_1}{4}~,~\stackrel{y_1}{3})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{-3}) ~\hfill BC=\sqrt{[ 4- 4]^2 + [ -3- 3]^2} \\\\\\ ~\hfill BC=\sqrt{36}\implies \boxed{BC=6}\)

\(C(\stackrel{x_1}{4}~,~\stackrel{y_1}{-3})\qquad A(\stackrel{x_2}{0}~,~\stackrel{y_2}{0}) ~\hfill CA=\sqrt{[ 0- 4]^2 + [ 0- (-3)]^2} \\\\\\ ~\hfill CA=\sqrt{25}\implies \boxed{CA=5} \\\\\\ \textit{so it's an \underline{isosceles triangle}}\)

data given: {87, 94, 82, 78, 95, 91, 87, 83, 101, 83, 82, 77, 80, 102, 75}

arrange in ascending order:

75, 77, 78, 80, 82, 82, 83, 83, 87, 87, 91, 94, 95, 101, 102

Identify:

Plot box-and-whisker graph:

The rate of flow of gasoline while a customer is pumping it into a gas tank can vary and is dependent on factors such as the type of fuel pump, the condition of the gas tank, and other variables.

The rate of flow of gasoline while a customer is pumping it into a gas tank can vary depending on several factors, including the type of fuel pump being used and the condition of the gas tank.

Typically, the rate of flow is measured in terms of volume per unit time, such as liters per minute.

The rate of flow can be influenced by factors such as the size of the nozzle, the efficiency of the pump, and any restrictions or obstructions in the fuel system.

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Answer:

x: -1, 0, 1

y: 0, 2, 4

Step-by-step explanation:

A linear relationship is proportional if the ratio between the values of y and x remains constant for all data points. Let's analyze each table to determine if they represent a linear relationship that is also proportional:

x: -1, 0, 1

y: 0, 2, 4

In this case, when x increases by 1, y increases by 2. The ratio between the values of y and x is always 2. Therefore, this table represents a linear relationship that is proportional.

x: -3, 0, 3

y: -2, -1, 0

In this case, when x increases by 3, y increases by 1. The ratio between the values of y and x is not constant. Therefore, this table does not represent a linear relationship that is proportional.

x: -2, 0, 2

y: 1, 0, -1

In this case, when x increases by 2, y decreases by 1. The ratio between the values of y and x is not constant. Therefore, this table does not represent a linear relationship that is proportional.

x: -1, 0, 1

y: -5, -2, 1

In this case, when x increases by 1, y increases by 3. The ratio between the values of y and x is not constant. Therefore, this table does not represent a linear relationship that is proportional.