If the function f(x) = |x + 5| is transformed to g(x) = –|x + 5|, which type of transformation is seen in the graph?

Answer: The answer is 13, read on to find out

Step-by-step explanation: The traingles are simliar so the values are similar as well. Find a lowest common factor of the values.

The lowest common factor is 4 because all the numbers can be divided by the number 4.

20 divided by 4 is 5 which is already shown on the graph

48 divided by 4 is 12

All we have to do now is 52 divided by 4

Hope I helped you answer the question! Have a great day/afternoon!

The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

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

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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Answer:

$83.94

Step-by-step explanation:

13.99 × 6 = 83.94

The confidence interval is  0.028, 0.872

862 of 1013 randomly selected adults  wear seat belts.

The 95% confidence interval for the proportion of adults who always wear seat belts.

A Confidence Interval is defined as a range of values we are sure our true value lies within it.

A 95% confidence interval is defined as that if we take 100 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value.

= 862/1013 = 0.85

At a 95% confidence interval ,the critical value is \(z_{0.025} = 1.96\)

The 95% confidence interval for proportion is

\(\widehat p +/- z0.025 * sqrt(\widehat p * (1 - \widehat p)/n)\)

\(= 0.85 +/- 1.96 * sqrt(0.85 * (1 - 0.85)/1013)\)

\(= 0.85 +/- 0.022\)

= 0.028, 0.872

The sample should use at least 10 successes and 10 failures.

\(n * \widehat p = 1013 * 0.85 = 861 > 10\)

\(n * (1 - \widehat p) = 1013 * 0.15 = 152 > 10\)

As the sample size is larger, we can use an approximate formula for the standard error.

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Answer:

  156 units²

Step-by-step explanation:

You want the area of the right trapezoid shown with bases 10 and 3, and height 24.

The area of a trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h

where b1 and b2 are the parallel bases, and h is the distance between them.

Here, the area is ...

  A = 1/2(3 +10)(24) = 156 . . . . square units

The area of the shape is 156 units².

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Answer:

son=12 years

Step-by-step explanation:

mother= 26 years

thats my answer please help me to my question

Answer:

14)

21√2

15)

Leg: 7√3

Hypotenuse: 14

Step-by-step explanation:

The hypotenuse is √2 as long as each leg. That means the leg is 42/√2. Simplified to make 21√2.

The hypotenuse is always twice as long as the shortest leg on a 30-60-90 triangle. The longer leg is √3 as long as the shortest side.

Therefore, 4 1/2 million yen is equal to $40,988.24 in US dollars.

To convert 4 1/2 million yen into US dollars, we need to know the current exchange rate. As of July 29, 2021, 1 US dollar is equivalent to 109.78 Japanese yen. Therefore, 4 1/2 million yen is equal to $40,988.24 in US dollars.
Explanation:
To convert yen into US dollars, we need to know the current exchange rate. As of July 29, 2021, 1 US dollar is equivalent to 109.78 Japanese yen. Therefore, we can convert 4 1/2 million yen into US dollars by dividing 4,500,000 by 109.78, which gives us $40,988.24. $40,988.24 in US dollars.

Therefore, 4 1/2 million yen is equal to $40,988.24 in US dollars.

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Answer:

c

Step-by-step explanation:

i am not sure but i think so

Answer:

Step-by-step explanation:

<A and <B are alternate interior angles. That means they are in the interior of the parallel lines and they are on opposite sides of the transversal.

When that happens <A = <B

8x + 78 = 2x + 114                      Subtract 2x from both sides.

8x - 2x + 78 = 2x - 2x + 114       Combine

6x + 78 = 114                              Subtract 78 from both sides

6x + 78 - 78 = 114 - 78

6x = 36                                       Divide by 6

6x/6 = 36/6

x = 6

I think you are asked for B

<B = 2x + 114

<B = 2*6 + 114

<B = 12 + 114

<B = 126

The inequality that includes the largest integer is:

x < 32

So the answer is C.

An inequality is a mathematical statement that compares two values or expressions and shows the relationship between them, using symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).

Inequalities are used to express that one value is less than or greater than another value or that the values are not equal. For example, the inequality "x > 5" means that x is greater than 5. The inequality "y ≤ 10" means that y is less than or equal to 10.

To calculate the inequality that includes the largest number of days this facility can continue to take in cats without exceeding its occupancy limit:

Number of cats the facility can take in before reaching the occupancy limit = 300 - 264 = 36

Number of days the facility can continue to take in cats before reaching the occupancy limit = (Number of cats the facility can take in) / (Average number of cats taken in per day) = 36/4 = 9

So the inequality that includes the largest integer for x is:

x < 32

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Distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.

Firstly, to distribute means to divide something or give a share or part of something.

Distributive property explains that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Therefore, distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.

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The number of students at Jefferson School and non-Jefferson school will be 373 and 127, respectively

An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.

Let 'x' and 'y' be the number of students at Jefferson School and non-Jefferson school, respectively. Then the equations are given as,

x + y = 500                    ...1

5x + 10y = 3135             ...2

From equations 1 and 2, then we have

5(500 - y) + 10y = 3135

2500 - 5y + 10y = 3135

5y = 635

y = 127

Then the value of 'x' is given as,

x + 127 = 500

x = 373

The number of students at Jefferson School and non-Jefferson school will be 373 and 127, respectively

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Answer: Let's use trigonometry to solve this problem. We can use the tangent function, which relates the angle of elevation to the opposite and adjacent sides of a right triangle:

tan(theta) = opposite / adjacent

In this case, the opposite side is the height of the building, and the adjacent side is the length of the shadow. We know the length of the shadow is 69 ft, and we can calculate the angle of elevation using the fact that the sun is 56° above the horizon. Since the angle of elevation is measured from the ground up to the top of the building, we can use the complementary angle of 34° (90° - 56°) to solve for the height of the building:

tan(34°) = height / 69

Multiplying both sides by 69, we get:

height = 69 * tan(34°)

height ≈ 47.2

Rounding to the nearest tenth, we get the height of the building to be approximately 47.2 feet. Therefore, the height of the building is about 47.2 feet.

Step-by-step explanation:

The given statement that the scatter plot is used to visualize the association (or lack of association) between two quantitative variables is true.

A scatter plot is a graphical representation of the relationship between two quantitative variables. The data points are plotted on a coordinate plane, and the pattern or association between the two variables is visualized.

This can help identify the presence or absence of a relationship, the strength of the relationship, and the direction of the relationship (positive or negative). The scatter plot can also be used to identify any outliers or outliers in the data.

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--The given question is incorrect; the correct question is

"A scatter plot is used to visualize the association (or lack of association) between two quantitative variables.

True

False"--

Answer:

-44.09

Step-by-step explanation:

Trust bro i am passing collage math at 15

To minimize the amount of paper used for a printed political spam card with 60 cm^2 of printed material advertising your questionable political qualifications and given margins, you need to determine the dimensions that would result in the smallest area.

Let x be the length of the printed lines and y be the width of the printed lines. The area of the printed material is given by:

A_printed = x * y = 60 cm^2

Considering the margins, the total dimensions of the paper can be represented as:

Length_total = x + 2 * 5 cm = x + 10 cm
Width_total = y + 2 * 3 cm = y + 6 cm

The area of the total paper is:

A_total = (x + 10) * (y + 6)

Our goal is to minimize A_total. Since we know that x * y = 60, we can isolate y and substitute it into the A_total expression:

y = 60 / x
A_total = (x + 10) * (60 / x + 6)

Now, we need to find the minimum of A_total with respect to x. To do this, we can use calculus and find the derivative of A_total with respect to x:

dA_total/dx = (-60 + 6x) / x^2

To find the minimum, we set dA_total/dx = 0 and solve for x:

0 = (-60 + 6x) / x^2
0 = -60 + 6x
x = 10 cm

Now, substitute x back into the y equation:

y = 60 / 10 = 6 cm

So, the printed lines should be 10 cm long to minimize the amount of paper used.

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The solution is:

108 ft² is the area of the other polygon.

For the polygon on the left, we are given the length of one side (3 ft) and the total area (27 ft²). With this information, we can determine the length of the other side - 9 ft. I found this by dividing 27 ft² by 3 ft, giving me the final result of 9 ft.

Next, we have to find the other side of the polygon on the right so we can ultimately determine its area. It looks like there is a scale factor of 2 between the two polygons, since 3 × 2 = 6. We know that the bottom side of the left polygon is 9, so multiplying 9 by 2 should give us the bottom side of the polygon on the right. 9 × 2 = 18.

Now, we have the side lengths for the polygon on the right and can determine its area. What is 6 ft × 18 ft? Well, the answer is 107 ft², and this is the answer to the question.

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Complete question:

The polygons are similar. The area of one polygon is given. Find the area of the other polygon.

Answer:

1/2 2/7 9/10

Step-by-step explanation:

hope it helps

Serena leans a 24-foot ladder against a 22.8-foot-tall building to climb on the roof is 71.8 degree.

Measurement of Angle:

The measurement of angles is done using basic geometric tools such as protractors and compasses. This tool helps to find precise measurements of angles. A protractor helps provide accurate measurements of angles, while compasses help construct angles. Angles are measured in three ways: degrees, radians, and revolutions.

According to the Question:

Suppose the measure of angle is θ, then we have

   Sinθ = 22.8/24

⇒ Sinθ = 0.95

Therefore,

θ = Sin⁻¹ (0.95)

  = 71.8 degree.

Therefore, Serena leans a 24-foot ladder against a 22.8-foot-tall building to climb on the roof is 71.8 degree.

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There are 30 different combinations of two members who can be selected to serve on the spring formal committee.

Permutation is the arrangement of elements in a specific order. In this scenario, the elements are the six members of the student council, and the order in which they are arranged is important.

To find the number of permutations, we use the formula nPk, where n is the number of elements and k is the number of elements we want to arrange.

In this case, n = 6 and k = 2,

so we have

=> 6P2 = 6!/(6-2)!

=> 6!/(4!) = 6 x 5/1 = 30.

So, there are 30 possible spring formal committees that can be formed from the six members of the student council.

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The speed of Melitta in miles per hour is 3 mph .

In the question ,

it is given that

the distance covered by Melitta for morning exercise in 3/4 of an hour =  \(2\frac{1}{4}\) mile =

we need to convert the mixed fraction to normal fraction ,

So , \(2\frac{1}{4}\) = (2*4 + 1)/4 = (8 + 1)/4 = 9/4 mile

we know that the speed \(=\) distance / time

So , Speed of Melitta = (distance covered) / (time taken )

Speed  = (9/4)/(3/4)

= 9/4 × 4/3

= 3 miles per hour .

Therefore , The speed of Melitta in miles per hour is 3 mph .

The given question is incomplete , the complete question is

Melitta found out that if she walk really fast during her morning exercise, she can cover \(2\frac{1}{4}\) mile in 3/4 of an hour. How fast is she walking in mile per hour ?

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The missing number from the triplet x, 48, 52, using the triplet 5, 12, 13, is found to be 5.

The Pythagoras Theorem states that in a right triangle, the square of the hypotenuse is always equal to the sum of the squares of the other two legs.

If the hypotenuse is taken as a, and the two legs are taken as b and c, then by the Pythagoras Theorem, we can write that:

a² = b² + c².

A Pythagoras triplet, is the combination of c, b, and a.

If all three sides of a right triangle are multiplied by the same quantity, we get another right triangle, where the sides of both make Pythagoras Triplet.

In the question, we are given a unique triplet: 5,12, 13, and are asked to find x in x, 48, 52.

We divide the second triplet by the first one, to get:

x/5, 48/12, 52/13,

or, x/5, 4, 4.

The ratio of the two triplets will always be a constant, thus

x/5 = 4,

or, x = 5*4 = 20.

Thus, the missing number from the triplet x, 48, 52, using the triplet 5, 12, 13, is found to be 5.

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The solution to inequality is less than the negative of 21. Then the correct option is C.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

−(1/3)x + 10 > 17

Then the solution to the inequality will be

−(1/3)x + 10 > 17

       −(1/3)x > 17− 10

        −(1/3)x > 7

When the sign is changed then the equality sign also changed.

(1/3)x < −7

     x < − 21

The value of x is less than the negative of 21.

Thus, the correct option is C.

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Answer:

a. 70

Step-by-step explanation:

Well for the activity we can do a game.

In a game you start with 50 coins and everytime you kill a monster "x" you get 2 more coins.You need 100 coins to level up.

We can make the following inequality,

2x + 50 ≥ 100

So to find x we single it out,

2x + 50 ≥ 100

-50 to both sides

2x ≥ 50

Divide 2 by both sides

x ≥ 25

For the number line look at the image below ↓

The solution in the number line is the number of monsters killed in order to level up.

Hope this helps :)

The induced EMF is directed horizontally.

Given data:

Flux density, b = 0.5 Wbm

Direction of the magnetic field:

Vertically downward

We can determine the electromotive force (EMF) induced in a coil of wire as it moves through a magnetic field.

The EMF generated in a coil of N turns and with an area A, the magnetic flux, and the rate at which the coil moves through the magnetic field is given by

emf = N × dΦ / dt

Where

N = Number of turns of the coil

A = Area of the coil

Φ = Magnetic flux

dΦ / dt = Rate of change of magnetic flux

The magnetic flux can be given as

Φ = B × A

Where B is the magnetic field and A is the area of the coil.

Substituting the value in the above equation, we getΦ = 0.5 Wbm

emf = N × dΦ / dt

We know that the direction of the magnetic field is vertically downward and the coil is moving through this magnetic field.

Therefore, there will be a change in the magnetic flux with time because the coil is cutting the magnetic lines of force perpendicularly.

As the direction of the EMF depends on the direction of the rate of change of magnetic flux, and the magnetic field is vertically downward, the induced EMF will be directed horizontally.

This is because the change in flux is taking place in the vertical direction, and the coil is oriented horizontally. Therefore, the induced EMF is perpendicular to both the magnetic field and the velocity of the coil.

Hence, it is directed horizontally.

The direction of induced EMF in the coil is perpendicular to the magnetic field, and the direction of the velocity of the coil.

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It's 300 because you divide 60 by 12 which gives you 5, then multiply 60 and 5.

Answer:

\(\boxed{\red{500 + x \leqslant 4500}}\\ x \leqslant 4500 - 500 \\ \blue{\underline{x \leqslant 4000}}\)

Answer:

Less

Step-by-step explanation:

Because we don’t know the value of x.