Factor -4 out of -12r + 20.

Answer:

Q' (2,4)

R' (3,1)

S' (5,3)

Step-by-step explanation:

When reflected across x-axis, the x-values stay the same but y-values change signs. Because you count how many points till the reflection line then same amount you have to go to the other side. But since it is saying x-axis, the reflection line is on x=0 so you just change the sign.

Answer:

Q=(2,4)

R=(3,1)

S=(5,3)

Step-by-step explanation:

The x value stays the same when reflecting in the x axis

And the y value would be an equal distance from the y-axis for all coordinates so you would make -4 into 4 ecause they are both 4 away from the y-axis line.

Please give brainliest :)

Answer:

x = 98°

Step-by-step explanation:

The triangle on the left is isosceles, thus the base angles are congruent.

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

82° is an exterior angle of the triangle

let y be the base angles, then

y + y = 82

2y = 82

y = 41°

The triangle on the right is isosceles, thus the base angles are congruent.

The left vertex = 41° ( vertical to y ), then

x = 180° - (41 + 41)° = 180° - 82° = 98°

Yes, they do form a triangle. This is because the sum of any two sides in a triangle must be greater than the third side. In this case, 4 + 8 is greater than 10, so it meets the criteria for a triangle.

Yes, the side lengths 4 8 and 10 can form a triangle. This is because the sum of any two sides in a triangle must be greater than the third side. In this case, 4 + 8 is greater than 10, so it meets the criteria for a triangle. A triangle is defined as a polygon with three sides and three angles, and is one of the basic shapes in geometry. It is also one of the most studied shapes in mathematics due to its wide range of applications. The three angles of a triangle must add up to 180 degrees, and the three sides must satisfy the triangle inequality, meaning that the sum of any two sides must be greater than the third side. Additionally, the interior angles of a triangle are always equal to the sum of two exterior angles. Knowing this, it can be seen that the side lengths 4 8 and 10 can form a triangle, as the sum of any two sides is greater than the third side.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4

According to different units  1 sqaure foot value will be change like

1 square foot (ft²) = 0.09290304 square meters (m²)

What is square foot let's understand?

The square foot is an area measurement unit that is used in both the United States and the United Kingdom. It is also used in Bangladesh, India, Nepal, Pakistan, Ghana, Liberia, Malaysia, Myanmar, Singapore, and Hong Kong to a lesser extent. It is described as the surface of a square with 1-foot sides.

1 square foot (ft²) = 0.09290304 square meters (m²)

1 square foot (ft²) = 144.0000002229 square inches (in²)

1 square foot (ft²) = 0.111111106982 square yards (yd²)

To know more about square feet here:

https://brainly.com/question/18701774

#SPJ4

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance.

A mathematical equation is a statement that two amounts or values are equal, such as 6 x 4 = 12 x 2. 2. A noun that counts. When two or more components must be taken into account collectively in order to comprehend or describe the overall situation, this is known as an equation.

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

X2+Y2 =53

= 53 + (50-1)(-4)

= 53-196

= -143

To learn more about Equation refer to:

https://brainly.com/question/2972832

#SPJ13

The fraction of the sheet that Amelia used for each card is 1/18 sheets.

In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

First of all, we would determine the total number of sheet of construction paper used as follows;

Total number of sheet of construction paper used = 6 × 3

Total number of sheet of construction paper used = 18 sheets.

Now, we can determine the fraction of the sheet used by Amelia as follows;

Fraction of sheet = 1/3 × 1/6

Fraction of sheet = 1/18 sheets.

Read more on fraction here: brainly.com/question/29367657

#SPJ1

Complete Question:

Amelia had 1/3 of a sheet of construction paper to make 6 greeting cards. What fraction of the sheet did she use for each card?

No, Dennis did not have enough clay to make both items. The total amount of clay needed for the bowl and the vase is 5 pounds 13 ounces for the bowl and twice as much for the vase.

Therefore, the total clay required for both items would be 5 pounds 13 ounces (bowl) + 2 * 5 pounds 13 ounces (vase) = 5 pounds 13 ounces + 11 pounds 10 ounces = 17 pounds 7 ounces.

Since Dennis only had an 18-pound bag of clay available, which is equivalent to 18 pounds 0 ounces, it falls short of the total clay needed for both items. The total clay required (17 pounds 7 ounces) exceeds the amount available (18 pounds 0 ounces), indicating that Dennis did not have enough clay to make both the bowl and the vase.

To learn more about amount click here:

brainly.com/question/32202714

#SPJ11

The area of Mindy's figure in square inches is 1250\(\pi\)+5000.

Given the figure contain two squares of side length= 50 inches and two-quarter circles of radius=50 inches

The area of the square is \((length of side)^{2}\)        

The area of a quarter of the circle is \(\frac{\pi r^{2} }{4}\)

The area of the square= \((50 inches)^{2}\) {as the length of the side of the square is 50 inches}

The area of the square= 2500 square inches

Therefore the area of two squares is (2500 square inches) × 2

The are two squares=5000square inches

The area of a quarter of the circle=\(\frac{\pi (50 inches)^{2} }{4}\) {as the length of the radius of the circle is 50 inches}

The area of a quarter of the circle=\(\frac{2500\pi }{4}\)

Therefore the area of two quarters of the circle = \(1250\pi\)square inches

Area of Mindy's figure= area of two square's+ areas of two quarter circle

Area of Mindy's figure= 2500square inches+ \(1250\pi\)square inches

Area of Mindy's figure= (2500+\(1250\pi\))square inches

Hence, The area of Mindy's figure in square inches is 1250\(\pi\)+5000.

Learn more about inches here:

https://brainly.com/question/16311877

#SPJ9

sketch of the line 4x + 3y = 11, slope (-4/3),  y-intercept of the line y = 11/3

Step 1: Convert the equation to slope-intercept form (y = mx + b) by solving for y:

3y = -4x + 11

y = (-4/3)x + 11/3

Step 2: Identify the slope and y-intercept:

From the equation in slope-intercept form, we can see that the slope (m) is -4/3 and the y-intercept (b) is 11/3.

Step 3: Plot the y-intercept:

On the y-axis, mark a point at y = 11/3 (approximately 3.67). This is the y-intercept of the line.

Step 4: Use the slope to find additional points:

Using the slope of -4/3, we can find other points on the line. The slope represents the change in y for every 1 unit change in x. So, starting from the y-intercept, we can move down 4 units and to the right 3 units to find the next point, and continue this pattern to find more points.

Step 5: Connect the points:

Once you have a few points on the line, you can connect them with a straight line. Make sure the line extends beyond the plotted points to show that it continues indefinitely.

The resulting line should have a negative slope (-4/3) and be slanting downward from left to right.

To know more about line click here :

https://brainly.com/question/28947895

#SPJ4

Answer:

he is right

Step-by-step explanation:

Answer:

x =97

Step-by-step explanation:

perpendicular (p) = 65

base (b) = 72

hypotenuse (h) = ?

We know by using Pythagoras theorem

h = √p² + b²

= √ 65² + 72²

= √9409

= 97

airport administrators take a sample of airline baggage and record the number of bags that weigh more than 75 pounds. then In this situation of statistics , individual is the cases are the bags or each piece of baggage.

What is a case?

In statistics, the word case is used to refer to the individual from which data is collected. For example, in a study about students' performance, the cases are each of the students.

What is the case in this situation?

Considering the administrators will need to weight and record each bag, the cases are each piece of baggage.

A. Number of bags weighing more than 75 pounds.

B. Average weight of the bags.

C. Each piece of baggage.

D. The airport administrators.

Hence airport administrators take a sample of airline baggage and record the number of bags that weigh more than 75 pounds. then In this situation of statistics , individual is the cases are the bags or each piece of baggage.

Learn more about statistics in

brainly.com/question/8058700

#SPJ4

Main Answer:The circumstances under which the shape of the sampling distribution of pn is approximately normal.

Supporting Question and Answer:

What is the Central Limit Theorem and how does it relate to the shape of the sampling distribution of pn?

The Central Limit Theorem states that, under certain conditions, the sampling distribution of the sample mean (or sum) approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution. This theorem is applicable to the sampling distribution of pn (proportion) because the proportion can be considered as the sample mean of a binary variable (success or failure). As the sample size increases, the Central Limit Theorem ensures that the sampling distribution of pn becomes more approximately normal, making it a useful approximation for making inferences about the population proportion.

Body of the Solution:The shape of the sampling distribution of pn (proportion) is approximately normal under certain circumstances. These circumstances are related to the properties of the population being sampled and the sample size. Here are the key factors:

1.Large sample size: The sampling distribution of pn tends to become more approximately normal as the sample size increases. This is known as the Central Limit Theorem. As the sample size grows larger, the distribution of sample proportions approaches a normal distribution regardless of the shape of the population distribution.

2.Random sampling: The sample should be selected randomly from the population to ensure that each member of the population has an equal chance of being included in the sample. Random sampling helps to ensure that the sample is representative of the population.

3.Independence assumption: The sampled observations should be independent of each other. This means that the selection of one observation should not influence the selection or behavior of other observations. Independence is crucial to ensure that the sampling distribution accurately reflects the population distribution.

4.Adequate population size: If the population size is sufficiently large,

relative to the sample size, the shape of the sampling distribution of pn is approximately normal. In practice, if the population is at least 10 times larger than the sample size, this condition is considered to be met.

5.Binomial distribution approximation: The shape of the sampling distribution of pn is also approximately normal when the underlying population distribution follows a binomial distribution. The binomial distribution is characterized by a fixed number of trials and two possible outcomes (success or failure) for each trial.

Final Answer: These circumstances increase the likelihood of the sampling distribution of pn being approximately normal, it does not guarantee it in all cases. In practice, checking the normality of the sampling distribution can be done using statistical tests or graphical methods, such as a histogram or a normal probability plot.  

To learn more about the Central Limit Theorem and how does it relate to the shape of the sampling distribution of pn from the given link

https://brainly.com/question/7897151

#SPJ4

The circumstances under which the shape of the sampling distribution of pn is approximately normal.

The Central Limit Theorem states that, under certain conditions, the sampling distribution of the sample mean (or sum) approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution. This theorem is applicable to the sampling distribution of pn (proportion) because the proportion can be considered as the sample mean of a binary variable (success or failure). As the sample size increases, the Central Limit Theorem ensures that the sampling distribution of pn becomes more approximately normal, making it a useful approximation for making inferences about the population proportion.

The shape of the sampling distribution of pn (proportion) is approximately normal under certain circumstances. These circumstances are related to the properties of the population being sampled and the sample size. Here are the key factors:

1.Large sample size: The sampling distribution of pn tends to become more approximately normal as the sample size increases. This is known as the Central Limit Theorem. As the sample size grows larger, the distribution of sample proportions approaches a normal distribution regardless of the shape of the population distribution.

2.Random sampling: The sample should be selected randomly from the population to ensure that each member of the population has an equal chance of being included in the sample. Random sampling helps to ensure that the sample is representative of the population.

3.Independence assumption: The sampled observations should be independent of each other. This means that the selection of one observation should not influence the selection or behavior of other observations. Independence is crucial to ensure that the sampling distribution accurately reflects the population distribution.

4.Adequate population size: If the population size is sufficiently large,

relative to the sample size, the shape of the sampling distribution of pn is approximately normal. In practice, if the population is at least 10 times larger than the sample size, this condition is considered to be met.

5.Binomial distribution approximation: The shape of the sampling distribution of pn is also approximately normal when the underlying population distribution follows a binomial distribution. The binomial distribution is characterized by a fixed number of trials and two possible outcomes (success or failure) for each trial.

These circumstances increase the likelihood of the sampling distribution of pn being approximately normal, it does not guarantee it in all cases. In practice, checking the normality of the sampling distribution can be done using statistical tests or graphical methods, such as a histogram or a normal probability plot.  

To learn more about the Central Limit Theorem

brainly.com/question/7897151

#SPJ4

The coordinates of point P are (39/7,-2/7), and point Q is the same as point P.

Given equations are,

\(2x - 3y = 12---(1)\)

\(x + 2y = 5---(2)\)

Let's use the method of substitution:

\(x = 5 - 2y---(3)\)

Substitute the value of x in Equation 1.

\(2(5 - 2y) - 3y = 12\)

Solve the equation for y.

\(10 - 4y - 3y = 12\)

\(- 7y = 2\)

\(y = - 2/7\)

Substitute the value of y in equation 2.

\(x+ 2(- 2/7) = 5\)

\(x - 4/7 = 5\)

\(x = 5 + 4/7\)

\(x = 39/7\)

Therefore, intersection point P and point Q coordinates are (39/7, - 2/7).

Read more about Substitution here;

https://brainly.com/question/22340165

To help the farmer find the dimensions of the rectangular field, he can set up an equation based on the given information.

Let's assume the length of the rectangular field is L yards and the width is W yards. The perimeter of the rectangular field is the sum of all the sides, excluding the side along the stream, which is already bordered by the stream itself.

The perimeter of the rectangular field, excluding the side along the stream, is given by:

2L + W = 2000

This equation represents the relationship between the length, width, and perimeter of the rectangular field. By solving this equation, the farmer can determine the dimensions (length and width) of the field that would utilize the 2000 yards of fence.

Learn more about rectangular field here:

https://brainly.com/question/29193425

#SPJ11

Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

Learn more about word problems at https://brainly.com/question/21405634

#SPJ1

Answer:

H = 12ft

Step-by-step explanation:

24/6 = 4 scale factor

4 x 3 =12

Hope this helps!

Answer:

3.8333333333...

Step-by-step explanation:

you take how many gigabytes (115) and divided it by the 30 days, giving you 3.833333333...

Answer:

D. 250 feet per minute

Step-by-step explanation:

According to this question, Timothy walks at constant speed. From Physics we know that speed is the magnitude of velocity and is determined by the following definition:

\(v = \frac{\Delta x}{\Delta t}\) (1)

Where:

\(\Delta x\) - Distance between home and mailbox, measured in feet.

\(\Delta t\) - Travel time, measured in minutes.

\(v\) - Walking speed of Timothy, measured in meters per second.

The distance is represented by the vertical axis of the graph, whereas the travelling time is from the horizontal axis.

If we know that \(\Delta x = 3,750\,ft\) and \(\Delta t = 15\,min\), then the walking speed of Timothy is:

\(v = \frac{3,750\,ft}{15\,min }\)

\(v = 250\,\frac{ft}{min}\)

The walking speed of Timothy is 250 feet per minute. Hence, the right answer is D.

When 5/9 of the tank is filled in 2 minutes, then it will take 3.6 minutes to fill the entire tank.

The definition of a fraction is a fraction multiplied by another fraction, integer, or a group of variables. Given that the 5/9 tank fills in 2 minutes. The duration of this period in seconds is 60×5= 120 seconds.

So the time taken to fill a 1/9 tank is calculated as follows,

Time taken = 120/5

=24 seconds

The time taken to fill the 9/9 tank (full) is calculated by multiplying 24 seconds and 9, we get,

24×9 = 216 seconds

= 3.6 minutes.

Therefore, the required answer is 3.6 minutes.

The complete question is -

If 5/9 of a tank can be filled in 2 minutes, how many minutes will it take to fill the whole tank?

To know more about the time taken:

https://brainly.com/question/29364966

#SPJ4

Answer:

81

Step-by-step explanation:

By comparing the returns of two investments we find that the  $4000 invested at 7.6% compounded semiannually over 6 years yields gives the greater return. So, option C is right.

To compare the returns of two investments, we need to use the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

where A is the amount at the end of the investment period, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

For the first investment, the interest is compounded continuously, so we use the formula:

\(A = Pe^{(rt)}\)

where e is the mathematical constant 2.71828....

For the second investment, the interest is compounded semiannually, so we use the formula:

\(A = P(1 + r/2)^{(2t)}\)

where 2t is the total number of compounding periods over the investment period.

   To compare the returns of the two investments over 6 years, we can calculate the final amount for each investment and compare them:

For the first investment:

A = \(Pe^{(rt)} = 1(2.71828)^{(0.075\times6) } = 1.497\)

For the second investment:

A = \(P(1 + r/2)^{(2t)} = 1(1 + 0.076/2)^{(2\times6)} = 1.496\)

Therefore, the first investment yields a slightly greater return over 6 years.

   To calculate the final amounts for 4000 invested in each of the two investments:

For the first investment:

A = \(Pe^{(rt) } = 4000(2.71828)^{(0.075\times6)} = 5739.61\)

For the second investment:

A = \(P(1 + r/2)^{(2t) } = 4000(1 + 0.076/2)^{(2\times6) } = 5776.12\)

Therefore, 4000 invested at 7.6% compounded semiannually over 6 years yields a greater return.

for such more question investment

https://brainly.com/question/25893158

#SPJ4

To find the time until the ball hits the ground, you need to solve the quadratic as the height equals zero.

0 = -16t^2+50t

This gives us a classing quadratic that you can factor or use the quadratic formula to solve.

x = 0, x = 25/8

If you graph this, think of y = 0 as the ground, so when the parabola intersects the x-axis on the right that represents how much time would have passed.

Hope this helps you out! Good luck with your homework! Stay safe and stay healthy.

Answer:

Answer

Step-by-step explanation:

you can answer these NUTS!!!

Answer:

We have 3/4 plus 3/2 plus 9/4 pounds of fruit, so we get

12/4 + 3/2 pounds of fruit

and 3/2 can become 6/4, so we have 18/4 pounds of fruit, or 4 2/4 pounds, which can simplify into 9/2 or 4 1/2

Brainliest please?

Answer:

Step-by-step explanation:

3/4 + 1 1/2 + 2 1/4 =

3 + 1 1/2 =

4 1/2      

Hope that helps!

Bayes' theorem is used to connect the probability of a person's DNA profile appearing in a sample with the possibility of that person being guilty.

Likelihood ratio (LR) is the ratio of the possibility of the evidence given the accused's guilt divided by the probability of the evidence given the accused's innocence. LR is a frequent tool used by experts to estimate the likelihood of a suspect being the source of a DNA sample. The likelihood ratio can be used to assess the probability of a given event. For example, it may be used to determine the likelihood of a crime suspect's DNA profile appearing in a sample.

It is essential to know the likelihood ratio of the first, second, third, fourth, and fifth occurrence of the same diagnosis for the same person to make an accurate assessment of this probability. This may be accomplished by calculating separate likelihood ratios for each occurrence.

In any likelihood ratio calculation, Bayes' theorem is used to link the probability of an individual's DNA profile appearing in a sample with the possibility of that person being guilty. This theorem helps to account for the possibility of coincidental matches.

The value of the likelihood ratio is determined by the strength of the DNA evidence in the case. When there is a higher probability of a match, the ratio will be higher. The value of the LR should be sufficiently large to establish the probability of the evidence given the suspect's guilt or innocence. Typically, an LR of more than 100 is considered a strong match.

The likelihood ratio for the first occurrence is calculated by dividing the likelihood of the evidence given the accused's guilt by the likelihood of the evidence given the accused's innocence. The same calculation is repeated for each additional occurrence. The sum of the likelihood ratios for all occurrences is used to compute the overall likelihood ratio for the case.

To conclude, the separate likelihood ratios for the first, second, third, fourth, and fifth occurrences of the same diagnosis for the same person can be calculated to assess the probability of a given event. Bayes' theorem is used to connect the probability of a person's DNA profile appearing in a sample with the possibility of that person being guilty. An LR of more than 100 is considered a strong match.

To know more about likelihood ratio,

https://brainly.com/question/31417586

#SPJ11

Answer:

Cost of the food = $44.60

Step-by-step explanation:

Total cost of food, tax and tip = $55.75

Let

Cost of the food = x

Sales tax of 10% = 0.1x

Tip of 15% = 0.15x

Total cost = food + tax + tip

55.75 = x + 0.1x + 0.15x

55.75 = 1.25x

x =55.75/1.25

x = $44.60

Cost of the food = $44.60

Answer:

8/9

Step-by-step explanation:

1/3 divided by 3/8 is 8/9

Answer:

Area of a trapezium = 1/2 * sum of parallel sides * distance between them

= 1/2 * (10 + 18) * 6

= 1/2 * 28 * 6

= 84 feet ^2

Area of a rectangle = length * breadth

= 18 * 12

= 216 feet ^2

Total Area = 84 + 216

Total area = 300 feet

Answer:

The area is multiplied by 4

Step-by-step explanation:

The area of a circle is directly proportional to its square radius so if the radius is increased by x, the area will be increased by x ^ 2

Answer:

The area is multiplied by 4.

Step-by-step explanation: