Please help me for 30 points!!.

From the given information the quadrilateral QUAD is a rectangle because opposite sides are of the same length and the adjacent sides are perpendicular to each other.

What is a quadrilateral?

A quadrilateral is a four-sided polygon with four edges and four corners that is used in geometry. A closed quadrilateral has four sides, four vertices, and four angles. It is a form of a polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees. The diagonals are obtained by joining the opposing vertices of the quadrilateral.

From finding the lengths of the sides of the quadrilateral, we can see that two sides of the quadrilateral have the same length and the other two sides have the same length.

QU

length = √20

slope = 2

UA

length = √5

slope = -1/2

AD

length = √20

slope = 2

DQ

length = √5

slope = -1/2

Now the lines QU and UA are perpendicular to each other since the product of slopes is -1.

So QU ⊥ UA

similarly,

AD ⊥ UA

AD ⊥ DQ

Also, the lines QU and AD as well as the lines UA and DQ are parallel to each other as the slopes are the same.

Therefore from the given information the quadrilateral QUAD, is a rectangle because opposite sides are of same length and the adjacent sides are perpendicular to each other.

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The question is, "Jada earns twice as much money per hour as Diego. Diego earns twice as much money per hour as Lin. Select all the graphs that could represent how much Jada, Diego, and Lin earn for different amounts of time worked."

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It has to be smaller than $7800

I am not sure if this answer is right.

Answer:

7800-936=6864

Step-by-step explanation:

x/12 7800/100

100x=93600

936

The percent that accurately reflects the white section in the circle is 38%. So, the correct option is A).

To find the percentage of the circle that is white, we need to divide the area of the white region by the area of the entire circle and multiply by 100.

Looking at the diagram, we can see that the white region takes up about 3/8 of the circle, or 37.5% (since 3/8 is equal to 0.375 or 37.5%). This is closest to answer choice A, which is 38%.

Therefore, the percent that accurately reflects the white section in the circle is 38%.

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Samuel found the difference between the polynomials is 8x² + 6y² + 6x.

What is the polynomials?

An expression that contains coefficients, variables, non-negative integer exponents, and constants is known as a polynomial.

To find the difference between the polynomials, we need to subtract the second polynomial from the first polynomial.

(15x² + 11y² + 8x) - (7x² + 5y² + 2x)

First, we can simplify the coefficients of the like terms by subtracting them:

15x² - 7x² + 11y² - 5y² + 8x - 2x

Simplifying further, we get:

8x² + 6y² + 6x

Therefore, the difference between the polynomials is 8x² + 6y² + 6x.

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All five answers are (1) 285.7 ft2 (2) 1056 cm2 (3) 105 mm3 (4) 108 cm3 (5) 628 mm3 in accordance with the provided assertion.

In mathematics, volume refers to the amount of space present within a specific 3D object. As an example, the dimensions of a fish aquarium are three feet long, one foot broad, and two feet height.

By increasing the length, width, and height, or 3x1x2, which also equals six, the volume is determined. Consequently, the fish tank has a 6 cubic foot size.

(1) The lateral area of a cone can be calculated using the formula L = πrℓ, where r is the radius and ℓ is the slant height. Using the given values, we have:

L = π(7)(13) ≈ 285.7 ft²

Rounding to the nearest tenth, the answer is 285.7 ft².

(2) A = B + (1/2)Pl, where B is the base area, P is the base circumference, l is the slope height, and A is the surface area, can be used to determine the surface area of a square pyramid. Since the pyramid's foundation is square, we have:

B = (24)² = 576 cm²

The perimeter of the base is 4 times the base length, so we have:

P = 4(24) = 96 cm

Now we can use the formula to find the surface area:

A = 576 + (1/2)(96)(16) = 1056 cm²

Therefore, the surface area of the square pyramid is 1056 cm².

(3) The volume of a rectangular prism can be calculated using the formula V = lwh,

where

l is the length

w is the base

h is the height

V is the volume.

Substituting the given values, we have:

V = (5)(7)(3) = 105 mm³

Therefore, the volume of the rectangular prism is 105 mm³.

(4) The formula V = (1/3)Bh, where B is the base area, h is the height, and V is the volume, can be used to determine the volume of a square pyramid. Since the pyramid's foundation is square, we have:

B = (9)² = 81 cm²

Now we can use the formula to find the volume:

V = (1/3)(81)(4) = 108 cm³

Therefore, the volume of the square pyramid is 108 cm³.

(5) The volume of a cone can be calculated using the formula V = (1/3)πr2h, where r is the radius, h is the height, and V is the volume. Substituting the given values, we have:

V = (1/3)π(10)²(6) ≈ 628.3 mm³

Rounding to the nearest whole number, the answer is 628 mm³.

Therefore, the volume of the cone is 628 mm³.

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Answer:  $29830

Step-by-step explanation:

Every year the amount he has (in the bank lets say) goes up by 5.6%. This can be explained as multiplying by 1.056, as it basically take the one and adds 0.056 which is equivalent to 5.6%. If we are trying to find the end value after 19 years, we would have multiplied our original value by 1.056, 19 times. We can find how much that is by calculating 1.056 to the power of 19, which equals 2.8159. This is how much the money would have increased over the 19 years. Dividing the final value by 2.8159 will get us the original value. $84,000 / 2.8159 = ~ $ 29830. I have already rounded up so this should be the answer.

Step-by-step explanation:

Principal (P)=$7869

Rate (R)= 13%

Time (T)= 5 years

Compound Interest (CI)=?

We know that,

CI = P { (1+R/100)^T -1}

= $7869 {(1+13/100)^5 -1}

= $7869 {(113/100)^5 -1}

= $7869 {(1.13)^5 -1}

= $7869 {1.84-1}

= $7869 × 0.84

= $6609.96

Compound Amount= CI+p

= $6609.96+7869

= $14478.96

Therefore, he will have $14478.96 after 5 years.

It will take her 30 minutes if she walks to the school.

Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:

v = d/t.

The time can be modeled as follows:

t = d/v.

Hence if the velocity decays by a factor of 1/3, the time is tripled, hence the time needed to get to the school walking is given as follows:

t = 10 x 3

t = 30 minutes.

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The requried solution to the system of equations is x = 7, y = 6.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

To solve the system of equations:

4x - 2y = 16 - - --  - -(1)

2x + 3y = 32 - - - - - - (2)

We can use the method of substitution:
Solve one of the equations for one of the variables in terms of the other variable.
Let's solve the first equation for y:

4x - 2y = 16

-2y = -4x + 16

y = 2x - 8

Substitute the expression found in step 1 into the other equation 2.

2x + 3(2x - 8) = 32

Solve the resulting equation for the remaining variable.

2x + 6x - 24 = 32

8x - 24 = 32

8x = 56

x = 7

Substitute the value of x into one of the original equations to find the value of the other variable.

Using the first equation:

4x - 2y = 16

4(7) - 2y = 16

28 - 2y = 16

-2y = -12

y = 6

Therefore, the solution to the system of equations is x = 7, y = 6.

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Answer:

1,000,000,000,000 = 1,000,000,000 × 1,000

Step-by-step explanation:

One trillion equals a thousand billions, or a million millions.

To complete the square for the equation [tex]x^2 + 8x + 32 = (x - h)^2 + 16[/tex],

we need to choose h = -2.

To complete the square for the given equation

[tex]x^2 + 8x + 32 = (x - h)^2 + 16[/tex],

we need to express the left-hand side of the equation in the form

[tex](x - p)^2 + q[/tex], where p and q are constants.

We can start by expanding the right-hand side of the equation:

[tex](x - h)^2 + 16 = x^2 - 2hx + h^2 + 16[/tex]

Now we can compare the coefficients of [tex]x^2[/tex], x, and the constant term on both sides of the equation:

[tex]x^2 + 8x + 32 = (x - p)^2 + q[/tex]

=> [tex]p^2 = 0[/tex] (since the coefficient of [tex]x^2[/tex] is 1 on both sides)

=> -2hp = 8 (since the coefficient of x is 8 on the left-hand side)

=> h = -2 (solving for h)

=> q = [tex]h^2 + 16[/tex] = 20 (since the constant term on the right-hand side is 16)

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The complete question may be:

What value of h is needed to complete the square for the equation [tex]x^2+8 x+32=(x-h)^2+16[/tex] ?

Answer:

c

Step-by-step explanation:

DO THE MATH!!!!!!!PLEASE

The binomial probability formula calculates the probability of obtaining a specific number of successes in a fixed number of independent trials, each with the same probability of success

The binomial probability formula is used to calculate the probability of obtaining a certain number of successes in a fixed number of independent trials, each with the same probability of success.

The formula is:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where:

P(X=k) is the probability of obtaining k successes

n is the total number of trials

p is the probability of success in each trial

(n choose k) represents the number of ways to choose k successes from n trials, and is calculated as n! / (k! * (n-k)!)

Therefore, the uses of binomial probability formula has been explained

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The binomial probability formula is widely used in various fields, including statistics, probability theory, and genetics, to analyze and predict outcomes in situations with binary events.

The binomial probability formula is used to calculate the probability of obtaining a specific number of successes in a fixed number of independent Bernoulli trials. In other words, it helps us determine the likelihood of achieving a certain outcome in a series of experiments, where each experiment can result in one of two possible outcomes (success or failure).
The formula is given by P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where P(X=k) represents the probability of getting exactly k successes, n is the total number of trials, p is the probability of success in a single trial, and (n choose k) is the binomial coefficient.
For example, let's say you flip a fair coin 10 times and want to know the probability of getting exactly 7 heads. In this case, n = 10 (number of trials), k = 7 (number of successes), and p = 0.5 (probability of heads). Plugging these values into the binomial probability formula will give you the desired probability.
The binomial probability formula is widely used in various fields, including statistics, probability theory, and genetics, to analyze and predict outcomes in situations with binary events.

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Answer: Santa Maria to Los Alamos is approximately 2,612,951.6 centimeters.

Step-by-step explanation:

To convert miles to centimeters, we need to use the following conversion factors:

1 mile = 160,934.4 centimeters

So, to find the distance from Santa Maria to Los Alamos in centimeters, we can use the following calculation:

16.25 miles x 160,934.4 centimeters/mile = 2,612,951.6 centimeters

Therefore, the distance from Santa Maria to Los Alamos is approximately 2,612,951.6 centimeters.

1 mile = 160,934 centimeters

16.25 miles = ?

16.25 * 160,934 = ?

16.25 miles = 2,615,184 centimeters

The scale factor used to produce Figure 2 from Figure 1 is 5 over 3.

Scale factor is a numerical value used to represent the proportional change between two similar objects. This value is often used to compare the size of objects in different measurements, such as inches to millimeters or feet to meters. Furthermore, the scale factor can be used to find the area, volume, or surface area of an object, as the measurements are proportional to the scale factor. This is especially useful when objects are enlarged or reduced, as it allows for the accurate calculation of the changed measurements.

This is because Figure 2 has legs that are 5 units long and Figure 1 has legs that are 3 units long. The ratio of the legs of Figure 2 to the legs of Figure 1 is 5/3, which is the scale factor used to produce Figure 2 from Figure 1.

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The correct answer is C, 3

The upper quartile of the data set is, 56.

The process for combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The values of 42, 44, 50, 54, and 56 are all marked by the box plot.

Hence, The value of upper quartile is,

⇒ Upper quartile = 3/4 (n + 1)

Where, n is number of terms.

Hence, We get;

⇒ Upper quartile = 3/4 (5 + 1)

                           = 3/4 × 6

                           = 4.5

                           ≈ 5th term

Thus, The value of Upper quartile = 56

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Since the polygon's perimeter equals the sum of its sides. This means that the perimeter (P) of a rectangle is;

P = the sum of all of its sides.

P = a + b + a + b In a rectangle, the opposite sides are equal.

P = 2(a + b)

Given a rectangle with length 4x and width x, what is its perimeter?

P equals 2(a + b), thus 48 equals 2(x + 4x).

48 = 2(x+4x)

48 = 2(5x)

48 = 10x

x  = 4.8

4x = 19

19.2 feet in length and 4.8 feet in width when first built.

The new length would be 9.5+19.2=28.7 if 9 1/2 were added to the previous length.

A new length of 28.7 feet results as a result.

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m∠D = 40°, m∠F = 65°, and m∠E = 75°. Round to the nearest degree.

Angel is a geometric figure that can be described as the amount of rotation between two straight line or planes and angles is measured in degree with the full circle being 360°.

To determine the unknown angle measures of △DEF, we can use the fact that the sum of the angles of a triangle is 180°. Thus, if we know two angle measures in the triangle, we can use them to calculate the third.

Let's denote the two known angle measures as m∠D and m∠F. We can use the following equation to solve for the unknown angle measure:

m∠D + m∠F + m∠E = 180°

We can rearrange the equation to solve for m∠E:

m∠E = 180° - m∠D - m∠F

Therefore, once we know the measures of m∠D and m∠F, we can calculate the measure of m∠E.

For example, if m∠D = 40° and m∠F = 65°, then the measure of m∠E would be:

m∠E = 180° - 40° - 65° = 75°

Therefore, m∠D = 40°, m∠F = 65°, and m∠E = 75°. Round to the nearest degree.

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A function is a rule that assigns to each value of the independent variable in the domain unique value of the dependent variable in the range.

The domain of a function is defined as the set of all possible values that a function can take as input.

The range of a function is defined as the set of all values of a function that it takes as output.

The variable that represents the input values of a given function is called the independent variable.

The variable that represents the output values of a given function is called the dependent variable.

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In general, if the sample size is large, adding an extremely large outlier to a data set will not substantially affect sample mean. The correct option is (b) sample mean

The sample size is large, adding an extremely large outlier to a data set will not substantially affect the sample mean.

This is because the sample mean is a measure of central tendency that is influenced by all the values in the dataset, but it is more affected by the values that are closer to it in magnitude. When the sample size is large, the impact of any individual outlier on the overall mean is typically reduced, as the outlier will be more likely to be balanced out by the other values in the dataset.

However, the addition of an extremely large outlier may still have an impact on the sample standard deviation and median, depending on the magnitude and distribution of the other values in the dataset.

Therefore, the correct option is (b) sample mean

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Step-by-step explanation:

36 because since theres 36 people each person gets one for each

The letter "F" has one reflectional symmetry. This symmetry can be seen by drawing a line that divides the letter "F" into two equal parts, such that the left and right sides are mirror images of each other.

This line of symmetry would run vertically down the middle of the letter "F", passing through the crossbar. The letter "F" has one reflectional symmetry. A reflectional symmetry is a type of symmetry where one half of an object is a mirror image of the other half. In the case of the letter "F", a line can be drawn vertically down the middle of the letter, passing through the crossbar, such that the left and right sides of the letter are mirror images of each other. This line is called a line of symmetry. Therefore, the letter "F" has one reflectional symmetry.

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The figure which is missing in the question is attached here-with the answer

The probability that the moderate number of moths in 60 traps is more significant than 0.4 is approximately 0.9738 or 97.38%.

(a).

The mean number of moths =  60 traps

Now, the properties of normal distribution and central limit theorem are used.

mean of the individual moth counts = 0.5.

The standard deviation = the Standard deviation of the individual moth counts, divided by the square root of the sample size.

standard deviation = (0.7 / [tex]\sqrt{60}[/tex])

standard deviation = 0.0905

the mean number of moths and standard deviation of the average number of moths in 60 traps are 0.5 and 0.0905.

(b) .

By using the central limit theorem

The average number of moths in 60 traps = 0.4

The z-score formula is to be calculated by using:

Z = (sample mean - population mean) / (standard deviation/sqrt (sample size))

Substituting the given values, we have:

Z = (0.4 - 0.5) / (0.7 / sqrt(60))

Z = -1.94

The probability of a Z-score greater than -1.94 is approximately 0.9738.

Hence, we can conclude that the probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738.

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The side lengths that cannot form a triangle are: 2 ft, 3 ft, 8 ft.

On a unit circle, Ф = 60°, Then the terminal point and tanФis,

D. (1/2, √3/2), tanФ = √3.

A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.

Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.

We know, tanФ = sinФ/cosФ.

From the unit circle, we also know that cos60° = 1/2 and sin60° = √3/2.

So, When Ф = 60°, cosФ = 1/2 and sinФ = √3/2.

Therefore, tan60° = sin60°/cos60°.

tan60° = (√3/2)/(1/2).

tan60° = √3.

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Answer: 56 as a decimal is 0.56

Step-by-step explanation: Just simply add a decimal point in front of 56, and you’ll get 0.56

56 = 0.56

Hope this helps!

Answer:

[tex]\huge\boxed{\sf 9x}[/tex]

Step-by-step explanation:

= 3x + 3x + 3x

Take x as common factor

= x(3 + 3 + 3)

= x (9)

[tex]\rule[225]{225}{2}[/tex]

Answer:

there are 3 feet in one meter.

Step-by-step explanation:

12 inches = 1 foot.

39.3701 inches = 1 meter.

39.3701 ÷ 12 = 3.281.

3.281 is simplified to 3.

There are about 3 feet in 1 meter.

Hope this helped! Have a Good Day!