Rectangle PQRS will be transformed to the points P^ prime (2,0) , Q^ prime (7,0),R^ prime (7,-2) , and S^ prime (2,-2)What type of transformation will rectangle PQRS undergo?
O A. reflection
O B. dilation
O C. translation
O. D. rotation

Answer:

x = 36

Step-by-step explanation:

1. It's important to know that the sum (in degrees) of all angles in a triangle is 180°.

2. (Solving)

Step 1: Simplify both sides of the equation.

Step 2: Divide both sides by 5.

Step 3: Check if solution is correct.

Therefore, the answer is 36.

The equation of the perimeter will be 5x + 1 = 26. Then the correct option is D.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.

Let ABCD is the isosceles trapezoid.

The small base (BC) of an isosceles trapezoid is x centimeters long.

The large base (AD) of the trapezoid is 3 centimeters shorter than twice the length of the small base will be

AD = 2x - 3

And each of the two remaining sides of the trapezoid is 2 centimeters longer than the small base will be

AB = CD = x + 2

Then the perimeter is the sum of all sides.

If the perimeter of the trapezoid is 26 centimeters.

Then the equation of the perimeter will be

AB + BC + CD + DA = 26

x + 2 + x + x + 2 + 2x - 3 = 26

5x + 1 = 26

Then the correct option is D.

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1. It is false that when non-Standard unit used is small few unit's are

needed .

2. Objects with different shapes can have the same volume. True

3. Length, width and height and multiplied to find volume of a rectangular prism. True

4. It is false that volume is measured in square unit.

5. It is true that Volume is a measure of the amount of space inside an object.

6. The formula for volume of a rectangular prism is V = l × w × h. True

7. It is true that Standard units give a consistent and accurate measure of a container.

8. It is false that Non-Standard units cannot be used to measure volume.

9. Volume is measured in cubic units. True

Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.

Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).

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Answer:

Step-by-step explanation:

The first box should be 20.

The second box should be 40

The third box should be .2

The fourth box should be .6

Answer:

C

Step-by-step explanation:

When we do 30=y/3 we get 90 because of the fraction symbol and its says in the problem 3 times as much so more not less so 3x30 equals 90 so we already take out A and B and when there is nothing but a simple equation like 30=3 we dived so it cant be D Ethier so its C

PLS GIVE BRAINLIST

Happy Easter

Answer:

-1

Step-by-step explanation:

When you make the number line, go to the middle then move left once. Then mark that  " -1 " and you put the dot over that.

It's hard to explain how to write number lines.

Anyways, the problem equals -1 because 6-7 is negative 1. The + is there to confuse you.

Mark brainliest if possible please :)

The answer fam is..... They played 15 games

Answer:

sine=opposite/hypotenuse

cosine=adjacent/hypotenuse

tangent=opposite/adjacent

a: 42

b: 135 km/h

Step-by-step explanation:

For part A, you are given the adjacent and opposite side lengths so you need to use the tangent formula. On the calculator, it is tan^-1 (90/100)

For part B, I used the pythagorean theorem and did 100^2+90^2= 18100 and then took the square root of that to get 135.

Answer:

Y=X+1=2+1=3

Step-by-step explanation:

{

X

=

2

Y

=

3

Explanation:

Combining the two equations, we find:

2

X

−

1

=

Y

=

X

+

1

Subtract

X

from both ends to get:

X

−

1

=

1

Add

1

to both sides to get:

X

=

2

Then:

Y

=

X

+

1

=

2

+

1

=

3

Answer:

105 mins are there in 21/4 hrs

The value of x in the rectangle is 4 centimetres.

Scale factor is the ratio between corresponding measurements of an object and a representation of that object.

Therefore, let's find the value of x using the scale factor as follows:

The scale factor that maps figure A to figure B is 1 : 2 1 / 2(2.5).

Using the proportion,

x / 10 = 1 / 2.5

cross multiply

2.5x = 10

divide both sides of the equation by 2.5

x = 10 / 2.5

x = 4 cm

Therefore,

x = 4 cm

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The amount of solution A and B required are 60 and 90 ounces respectively.

Creating simultaneous equations for the problem:

Mass of solution A = a

Mass of solution B = b

a + b = 150 _____(1)

0.65a + 0.90b = 150×0.80

0.65a + 0.90b = 120 __(2)

From (1)

a = 150-b ____(3)

substitute (3) into (2)

0.65(150-b) + 0.90b = 120

97.5 - 0.65b + 0.90b = 120

0.25b = 120-97.5

0.25b = 22.5

b = 22.5/0.25

b = 90

a = 150 - b

a = 150 - 90

a = 60

Therefore , 60 ounces of solution A and 90 ounces of solution B is required.

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The circumference of the given circle is 41 cm

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

The circumference of a circle is the boundary length of the circle, it is basically the perimeter of the circle, in degree measure it can not exceed by 360°

Given that, a circle, with diameter, 13 cm, we need to find it circumference.

We know that, the circumference of a circle is given by,

Circumference of the circle = π × diameter

= 3.14 × 13

= 40.82

≈ 41 cm

Hence, the circumference of the given circle is 41 cm

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The scale factor of the perimeters from figure A to figure B is 1.5. Scale factor is the ratio of any two corresponding lengths in two similar figures.

Here, the two figures are similar, that is why we can find the scale factor by dividing corresponding sides of one figure by the corresponding sides of another figure. We will find the scale factor for the perimeter of figures A and B below:Perimeter of figure A = 12 + 10 + 18 = 40 unitsPerimeter of figure B = 15 + 15 + 15 = 45 unitsTo find the scale factor of the perimeters, we divide the perimeter of figure B by the perimeter of figure

A:Scale factor of the perimeters = (Perimeter of figure B)/(Perimeter of figure A) = 45/40 = 1.125To simplify any fractional answer, we have to convert it to the lowest terms, which is 9/8. The decimal answer 1.125, when rounded to the nearest tenth is 1.1. Therefore, the scale factor of the perimeters from figure A to figure B is 1.5.

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Answer:

y = 12x - 73

Step-by-step explanation:

We are given the line y=4(3x+2).

We want to find the equation of line G, which contains the point (7,11), and is parallel to y=4(3x+2) in the form y=mx+c. m is the slope, and c is the value of y at the y-intercept.

Parallel lines have the same slopes. So, we should start by finding the slope of y=4(3x+2).

We can do the distributive property to distribute the 4 to both terms on the right side.

y=4(3x+2) => y=12x + 8

Notice how this equation is written in the form y=mx+c. As 12 is written in the place where m is, the slope of this line is 12.

It is also the slope of line G.

We can replace m in y=mx+c with 12 for line G. We'll get:

y=12x + c

Now, we need to find c.

We can use the point (7,11) to help us find c.

Substitute 7 for x and 11 for y.

11 = 12(7) + c

Multiply.

11 = 84 + c

Subtract 84 from both sides

-73 = c

Substitute -73 as c.

y = 12x - 73

Answer:

The approximate percentage of lightbulb replacement requests numbering between 47 and 68 is 49.85%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 47

Standard deviation of 7

What is the approximate percentage of lightbulb replacement requests numbering between 47 and 68?

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% of the above.

Between 47 and 68:

68 = 47 + 7*3

So 68 is three standard deviations of the mean.

Of the 50% above the mean, approximately 99.7% are between the mean of 47 and 3 standard deviations above the mean, which is 68. So

0.5*0.997 = 0.4985

0.4985*100 = 49.85%

The approximate percentage of lightbulb replacement requests numbering between 47 and 68 is 49.85%.

Answer:

Step-by-step explanation:

You want points A(-4, 0), B(0, -1) and C(-3, -3) reflected across the y-axis and translated left 5 and up 2.

The reflection across the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y)

The translation adds the translation vector to the reflected coordinates.

  (x, y) ⇒ (x -5, y +2) . . . . . . translation (by itself)

Then the result of both transformations is ...

  (x, y) ⇒ (-x -5, y +2)

For a number of points, this arithmetic is conveniently accomplished by a calculator. The result is ...

Answer:

The exponential equation that is equivalent to the given logarithmic equation is:

Step-by-step explanation:

Use log rules to find the exponential equation that is equivalent to the given logarithmic equation.

Given logarithmic equation:

\(\log_76+3\log_72 = x\)

\(\textsf{Apply the log power law:} \quad \log_ax^n=n\log_ax\)

\(\implies \log_76+\log_72^3 = x\)

Simplify 2³ = 8:

\(\implies \log_76+\log_78 = x\)

\(\textsf{Apply the log product law:} \quad \log_axy=\log_ax + \log_ay\)

\(\implies \log_7(6 \cdot 8)= x\)

Multiply the numbers in the parentheses:

\(\implies \log_748= x\)

\(\textsf{Apply log law:} \quad \log_ab=c \iff a^c=b\)

\(\implies 7^x=48\)

Answer:

  y = {-1/2x +7 for x < 6; 1/2x +1 for x ≥ 6}

Step-by-step explanation:

You want y = 1/2|x -6| +4 written as a piecewise function.

The absolute value function changes its definition when its argument is negative:

  y = |x|   ⇒   y = -x for x < 0, and y = x for x ≥ 0

This means our piecewise function will have one definition for (x-6) < 0 and another for (x -6) ≥ 0.

The argument is negated in this domain, so we have ...

  y = -1/2(x -6) +4

  y = -1/2x +3 +4

  y = -1/2x +7

The absolute value function is an identity function in this domain:

  y = 1/2(x -6) +4

  y = 1/2x -3 +4

  y = 1/2x +1

Combining these descriptions into one, we have ...

  \(\boxed{y=\begin{cases}-\dfrac{1}{2}x+7&\text{for }x < 6\\\\\dfrac{1}{2}x+1&\text{for }x\ge6\end{cases}}\)

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a) The probability that a single randomly selected value is less than 146 is 0.7823 (rounded to four decimals).

b) Therefore, the probability that a sample of size n = 20 is randomly selected with a mean less than 146 is 0.9892 (rounded to four decimals).

To find the probability that a single randomly selected value is less than 146, we first need to standardize the value using the formula:

Z = (X - μ) / (σ / √n)

where X is the value, μ is the mean, σ is the standard deviation, and n is the sample size.

Substituting the given values, we get:

Z = (146 - 114.3) / (74.6 / √20) = 0.787

From the Z table, the probability for a Z score of 0.787 is 0.7823.

b) To find the probability that a sample of size n = 20 is randomly selected with a mean less than 146, we need to use the Central Limit Theorem, which states that the sample mean follows a normal distribution with mean μ and standard deviation σ / √n.

Using this information, we can standardize the sample mean using the formula:

Z = (M - μ) / (σ / √n)

Substituting the given values, we get:

Z = (146 - 114.3) / (74.6 / √20) = 2.2915

From the Z table, the probability for a Z score of 2.2915 is 0.9892.

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The data set is approximately periodic with a period of 3 and an amplitude of about 7.5.

The period is the length of time it takes for the data to repeat itself. In this case, the data repeats itself every 3 hours. The amplitude is the distance between the highest and lowest values in the data set. In this case, the amplitude is about 7.5 cars.

Hour | Number of cars

------- | --------

1     | 90

2     | 52

3     | 76

4     | 75

5     | 91

6     | 104

7     | 89

8     | 105

9     | 119

10    | 103

11    | 121

12    | 135

As you can see, the data repeats itself every 3 hours. The highest value in the data set is 135 cars, and the lowest value is 52 cars. The difference between these two values is 83 cars, which is about 7.5 times the average number of cars (90 cars). Therefore, the amplitude of the data set is about 7.5 cars.

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Answer:

B

Step-by-step explanation:

Option (b) is the correct answer: Perpendicular segments.

Perpendicular rays, perpendicular segments, perpendicular lines, and parallel lines are important concepts in geometry that describe the relationship between lines and line segments.

1. Perpendicular Rays: Perpendicular rays are two rays that intersect at point and form a right angle (90 degrees) at the point of intersection. The rays extend indefinitely in opposite directions from the point of intersection.

2. Perpendicular Segments: Perpendicular segments are line segments that intersect at a right angle. They share a common endpoint but do not extend indefinitely like rays. The right angle is formed at the point of intersection.

3. Perpendicular Lines: Perpendicular lines are lines that intersect at a right angle. They continue indefinitely in opposite directions and form four right angles at the point of intersection. Perpendicular lines are often denoted by a symbol ⊥.

4. Parallel Lines: Parallel lines are lines that never intersect. They remain equidistant from each other at all points. Parallel lines have the same slope and do not converge or diverge. In Euclidean geometry, parallel lines are denoted by a double vertical line symbol (||).

Understanding these concepts is fundamental in geometry as they help define angles, shapes, and spatial relationships. The properties of perpendicular and parallel lines play a crucial role in various geometric theorems and applications.

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Answer:

Probability that exactly one person says he or she enjoys the beach = 80%

Check Explanation for how to get this and which error the studemt that made the 100% claim must have made.

Step-by-step explanation:

The simulation presented is that for a series of two people sample.

Numbers 0 to 6 represents that the beach-goer enjoys going to the beach and numbers 7 to 9 represents that the beach-goer doesn't enjoy going to the beach.

So, the simulation is then obtained to be

(5,8) (2,7) (0,9) (0,2) (9,0) (1,9) (4,7) (0,3) (6,7) (7,5)

Using the simulation, estimate the probability that exactly one person says he or she enjoys the beach

From the simulation, the ones with exactly one of the two numbers ranging from 0 to 6 to indicate enjoying going to the beach include

(5,8) (2,7) (0,9) (9,0) (1,9) (4,7) (6,7) (7,5)

The probability of an event is defined and expressed as the number of elements in that event divided by the total number of elements in the sample space.

Probabilty that exactly one person says he or she enjoys the beach = (8/10) = 0.80 = 80%

The student claims that this probability is 100%, but the other two simulations that did not satisfy the condition of exactly one person saying that he or she enjoys the beach include

(0,2) and (0,3), which show that in the two cases, the two participants both expressed enjoying going to the beach.

The student's error must have been in counting these two simulations as part of 'exactly one person saying he or she enjoys the beach' which is indeed an error.

Hope this Helps!!!

step 1

Find the equation of line k

the slope of line k is

m=-3/4 ------> previous answer

step 2

If two lines are perpendicular, then their slopes are opposite reciprocal

so

the slope of the line m must be equal to

m=4/3

I will assume a point (3,4)

Find the equation in slope intercept form

y=mx+b

we have

m=4/3

point (3,4)

substitute

4=(4/3)*(3)+b

solve for b

4=4+b

b=0

therefore

Find the equation in point slope form

y-y1=m(x-x1)

we have

m=4/3

point (3,4)

substitute

Find the equation in standard form

Ax+By=C

where

A is a positive integer

B and C are integers

we have

y=(4/3)x

Multiply by 3 both sides

3y=4x

Answer:

The angles x, y, and z are 70 degrees, 110 degrees, and 110 degrees, respectively.

Step-by-step explanation:

If one angle is 70 degrees, then its corresponding angle will also be 70 degrees. Therefore, the two linear angle pairs with 70 degrees are:

70 degrees and its corresponding angle (also 70 degrees)

x degrees and y degrees, where x and y add up to 180 degrees (because they are linear angle pairs)

Since x is a vertical angle to 70 degrees, it is also equal to 70 degrees. Therefore:

x = 70 degrees

y = 180 - x = 180 - 70 = 110 degrees

To find the angle z, we can use the fact that the sum of the angles around a point is 360 degrees. Since the two lines intersect and create four angles, the angles around the point where they intersect must add up to 360 degrees. Therefore:

z + 70 + 70 + 110 = 360

z + 250 = 360

z = 110 degrees

Therefore, the angles x, y, and z are 70 degrees, 110 degrees, and 110 degrees, respectively.

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

78

Step-by-step explanation:

Arc GHJ is 81*2= 162 (the arc measure of an inscribed angle that does not cross the center of the circle is 2 times the measure of the angle

since arc GH is 84 and we need HJ, subtract 84 from 162=78