Write a quadratic inequality to represent the area of a stained-glass mosaic that sits under a parabolic arch 10 feet tall and 8 feet wide at the base, if the left side of the base is the origin.

The value of p is -5

Simply use cross multiplication :

The process of multiplying numbers in the shape of a fraction is called cross multiplication. Cross multiplying, also known as cross multiplication, is the process of multiplying the numerator of one fraction by the denominator of the other fraction on the other side of an equal symbol. Cross multiplication is a method for comparing fractions.

Both fractions with like and unlike parts are multiplied across. When employing the cross-multiplication procedure, we multiply the denominators as well as the numerators when a fraction is dissimilar, or when the denominators of two fractions are not alike.

[tex]14p-8=22+20p\\or, 14p-20p=22+8\\or, -6p=30\\or, p=-\frac{30}{6} \\or, p= -5[/tex]

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The missing value after solving is 280 seconds .

Given :

james rode his bike 7 yards in 3 seconds. set up the table with the information you know. yards seconds 7 3 you got it!

Seconds :

The second ( s or sec ) is the International System of Units ( SI ) unit of time measurement.

Table :

yards           seconds

7                     3

120                 x

we need to find x :

1 yard = 7/3 seconds

120 yards = 7 / 3 * 120 seconds

= 7 / 1 * 40 seconds

= 7 * 40 seconds

= 280 seconds.

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The test is proved that hypothesis that the population mean is atleast 3-miles per gallon.

A hypothesis is the proposed explanation for any kind of  phenomenon.

So here are the values of X  BAR i=2.4. S is 1.8.

Our sample n =100.

The null hypothesis here is that mu is greater than or equal to 3.

Against the alternative hypothesis that  is less than three. Now the calculated value for the test statistic is going to be the  equal to X bar is in (-)  knots. That's 2.4 -3. divided by S over  2^2 of end. So 1.8 divided by the square root of the  100 gives us negative 3.33. So we can refer to that box of the T distribution and we are  get the value. The p value for the test is going to be less than 0.5. Therefore we have the  strong evidence that the not hypothesis is going to be the  read checked it.  So  therefore we can reject to the  null hypothesis and then it can accept the alternative by the  hypothesis that  is less than three. Where it is  here is the mean of the population, the noting the average increase per gallon.

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Answer:

1 hour

Step-by-step explanation:

Answer: 1hour

Step-by-step explanation: lol

To find the sum of 52 + 23 is the value is worked to be 75

Combining things and counting them as one big group is done through addition.

In math, addition is the process of adding two or more integers together.

Addends are the numbers that are added, and the outcome of the operation, or the final response, is referred to as the sum.

In this problem the addends include

The applying the addition operation

= 52 + 23

= 45

The sum is solved to be 75

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The minimum sample size required to estimate a population mean with a confidence of 95%, a margin error of 2 units and a standard deviation of 10 units is 96.

A minimum sample size is the number of participants one needs to maintain their target confidence interval (margin of error) and confidence level while obtaining results that accurately represent the population they are studying.

The formula to calculate the minimum sample size for the population mean is [tex]\bold{n=\left(\frac{z\times \sigma}{E}\right)^2}[/tex]. Here, n is the sample size, z is the confidence level, σ is the standard deviation, and E is the margin error.

Given, the z-value for 95% confidence is 1.96, E is 2 and σ is 10.

Then, the minimum sample size is,

[tex]\begin{aligned}n&=\left(\frac{1.96\times10}{2}\right)^2\\&=(9.8)^2\\&=96.04\\&\approx96\end{aligned}[/tex]

The answer is 96.

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The value of the angle x in the triangle is; x = 70°

Looking at the given image, it is clear that both triangles are similar triangles. This is because we see that after the duplicate, 2 sides apiece are equal.

Thus, the third angle bordering the center of the triangle with one angle as 15° is;

y = 180 - (15 + 20)

Since sum of angles in a triangle equals 180 degrees.

y = 180 - 35

y = 145°

Similarly,

z = 180 - (20 + 15)

z = 180 - 35

z = 145°

Now, sum of angles at a point is 360 degrees. Thus;

x = 360 - (145 - 145)

x = 70°

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1. Linear pair theorem

2. Substitution property of equality

3. Subtraction property of equality

4. Definition of congruence

The given results can be proved by the linear pair property of angles on a straight lines.

The linear pair property can be defined as the sum of all the angles on the one side of a straight line is equal to 180°.

In the given diagram the following data is given,

The angles ∠DEH and ∠DEF are on the straight line HEF.

And, the angles ∠DEF and ∠FEG are on the straight line DEG.

As per the linear property of angles, it can be written as,

m∠DEH + m∠DEF = 180°.

And,  m∠DEF + m∠FEG = 180°.

Which implies that m∠DEH + m∠DEF = m∠DEF + m∠FEG

Subtract the common terms from both sides to get,

m∠DEH + m∠DEF - m∠DEF = m∠DEF + m∠FEG - m∠DEF

⇒ m∠DEH = m∠FEG

⇒ ∠DEH ≅ ∠FEG

This is also known as the property of vertically opposite angles.

Hence, the given result m∠DEH = m∠FEG is proved by the linear pair property.

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The final solution of the given question is -0.625.

What are the denominator and numerator?

A fraction's top digit is always referred to as the numerator. It displays the number of our parts. A fraction's numerator—the lowest digit—is referred to as the denominator. It displays the overall number of pieces that something can be broken down into.

We have,

- 3/8 - 1/4

so, calculating the given values,

((-3) ÷ (8)) - (1 ÷ 4)

make the denominator the same by multiplying 1/4 by 2, we get,

((-3) ÷ (8)) - (2 ÷ 8)

add the numerator and one common denominator,

-3 - 2 ÷ 8

-5 ÷ 8

= -0.625

Hence, the final solution to the given question is -0.625.

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Answer:

A. Prime factorisation method

Step-by-step explanation:

❌The answer is not A because:

You don't need to write a quadratic equation in terms of its prime factors to solve the quadratic equation.

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Answer:

3 days.

Step-by-step explanation:

The first sentence states that Michael ate a whole bag in 3 days.  That's how long it will rtake him to eat a bag of candy, assuming it is the same size and tastiness as the first.

Answer:

The property tax that must be paid on the lot is $864.

Step-by-step explanation:

The assessment value of the lot is $36,000, and the tax rate is 2.4 cents per $1, or 0.024. So the total amount of tax due is calculated as follows:

$36,000 * 0.024 = $<<36000*0.024=864>>864

Answer:

x = 1 1/2

Step-by-step explanation:

1/3 x + 1/4 = 3/4

Solving for x

Subtract 1/4 from each side

1/3 x + 1/4 -1/4 = 3/4-1/4

1/3 x = 2/4

Simplify

1/3x = 1/2

Multiply each side by 3

1/3 x * 3 = 1/2 * 3

x = 3/2

Changing to a mixed number

x = 1 1/2

Answer:

[tex]\sf \frac{3}{2} = 1 \frac{1}{2} \\ [/tex]

Step-by-step explanation:

[tex] \sf \frac{1x}{3} + \frac{1}{4} = \frac{3}{4} \\ [/tex]

To solve easily, multiply the whole equation by it's LCM ( LCM of 3 & 4 is 12 ).

[tex] \sf12 \times ( \sf \frac{1x}{3} + \frac{1}{4} = \frac{3}{4} ) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \\ \\ \sf \frac{1x}{3} \times 12 + \frac{1}{4} \times 12= \frac{3}{4} \times 12\\ \\ \sf \sf \frac{12x}{3} + \frac{12}{4} = \frac{36}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf4x + 3 = 9 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

And now solve for x.

First, subtract 3 from both sides.

[tex] \sf4x = 9 - 3 \\ \sf4x = 6[/tex]

Divide both sides by 4.

[tex] \sf \: x = \frac{6}{4} \\ [/tex]

To write the fraction in its simplest form, divide both the numerator and denominator by 2.

[tex] \sf \frac{3}{2} = 1 \frac{1}{2} \\ [/tex]

Answer:

8

Step-by-step explanation:

First, divide 16 by 4 to see how many donuts are in each box. This equation gives us 4. Then, multiply 4 by 2 to see get the answer of 8.

Answer: well if there are 16 donuts in 4 boxes that means there are 4 donuts in each box

Step-by-step explanation:

4=4

4+4=8

4+4+4=12

4+4+4+4=16

so your answer is 8

The truth value of the ~[P v (Q v R)] >~ (S v P) is true.

Truth-value, in logic, is the degree to which a particular proposition or assertion is true (T or 1) or false (F or 0). Because the truth-value of a compound proposition is a function of, or a quantity depending upon, the truth-values of its component components, logical connectives like disjunction and negation can be conceived of as truth-functions.

Given, ~[P v (Q v R)] >~ (S v P) since P v (Q v R) is true, thus ~ [ P v ( Q v R ) ] is false, therefore the implication is true.

⇒~[T v (F v T)] >~ (F v T)

⇒[F v (F v T)]>(T v T)

⇒[F v (F v T)]>(T v T)

⇒F v T

⇒T

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Answer:

A' (3,-1)

B' (-2,-5)

C' (5, -2)

Step-by-step explanation:

Notice how the x values stay the same and the y values become the opposite of the original points.

ur not the smartest person

65,760,000

Answer:

Step-by-step explanation:

There a few ways to solve this system. Since each equation is set equal to y on the left side, that means that we can set the right side of each equation to be equal to each other. So,

3x - 4 = -2x + 6

This can now be solved for x:

5x - 4 = 6 (added 2x to each side)

5x = 10 (added 4 to each side)

x = 2 (divided each side by 5)

Now that we know what x must be, we can plug 5 in for x in either of the equations and solve for y:

y = 3(5) - 4

y = 6 -4

y=2

This means y should be 2. To make sure this answer is correct, we can plug our y and x numbers into the OTHER equation to see if it makes sense:

(2) = -2(2) + 6

2 = -4 + 6

2=2

That looks right, so x = 2 and y = 2

Her total salary for the month would be $8300.

We have a women with $3,200 as a base salary each month. She gets 8.5% of everything she sells. If she sold $60,000 worth of items this month.

Assume her total salary to be y = $(3200 + x). Then, we can write -

y = $(3200 + {8.5/100} x 60000}

y = $(3200 + 5100)

y = $8300

Therefore, her total salary for the month would be $8300.

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Three  pairs of fractions that have a sum of 5/6 are;

1/3 + 2/3 = 5/6

1/4 + 3/4 = 5/6

2/6 + 3/6 = 5/6

1/3 + 2/3 = 5/6: The fractions have a common bottom number of 3 because they both have the same bottom number.

Adding the top numbers: 1 plus 2 equals 3.

The total is three divided by three, which can also be written as one.

However, we need to show the total with a bottom number of 6 to match the original part. So, we make the top and bottom numbers twice as big to get 2/6. Hence , 1/3 + 2/3 = 2/6.

1/4 + 3/4 = 5/6:The fractions have the same bottom number, so their common denominator is 4.

When you add 1 and 3 together, you get 4.

The sum is four over four, and when simplified, it equals one.

Once again, we have to find a way to write the sum with a bottom number of 6 so that it is the same as the first number in the fraction. So, we take the top number and the bottom number and multiply them both by 3 to get the fraction 3/6. Hence, 1/4 + 3/4 = 3/6.

2/6 + 3/6 = 5/6:In this situation, the fractions already have the same bottom number which is 6.

Adding the top numbers together: 2 + 3 = 5.

The answer is 5/6, which is what we wanted to get.

Therefore each pair shows a different way to add numbers together, either by finding a number that both denominators can divide evenly into or by using numbers that already work well together.

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Answer:

n = -21

Step-by-step explanation:

Five More Than One Third Of A Number Is Negative 2 What Is The Number?

1/3n + 5 = -2

subtract 5 from both sides:

1/3n + 5 - 5 = -2 - 5

1/3n = -7

multiply both sides by 3:

3(1/3n) = 3(-7)

n = -21

The plane with an angle of depression of 70° is closer to the airport.

The distance between the plane and the airport is 15957 feet.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

Two planes are flying at an altitude of 15,000 feet.

The angle of depression from one plane to the airport is 70°.

This means,

The distance of the plane from the airport.

Sin 70 = 15,000 / Distance

Distance = 15,000/ sin 70 = 15,000 / 0.94 = 15957 feet _____(1)

The angle of depression from one plane to the airport is 60°.

The distance of the plane from the airport.

Sin 60 = 15,000 / Distance

Distance = 15,000/ sin 60 = 15,000 / 0.87 = 17241 feet _____(2)

Thus,

The plane with an angle of depression of 70° is closer to the airport.

The distance between the plane and the airport is 15957 feet.

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Using the given angles, the value of x in the triangle is x = 3

From the question, we are to determine the value of x

Given that the measures are the angles of a triangle ABC.

Then, we can write that

A + B + C = 180° (Sum of angles in a triangle)

From the given information,

A = 75

B = 2 + 11x

C = 70

Thus,

75 + 2 + 11x + 70 = 180

147 + 11x = 180

11x = 180 - 147

11x = 33

Divide both sides by 11

11x/11 = 33/11

x = 3

Hence, the value of x is 3

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In the figure of triangles given figure C is not similar

Not similar

This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent

Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions

In figure  C no information is given about the angles hence they are not similar.

Figure B is similar by Side - Side - Side (SSS) and shows a proportion of 2

Figure D is similar by Side - Angle - Side (SAS), the include angle here are equal by vertical angle theorem

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A standard deviation (or σ) is a tool to measure how dispersed the data is in relation to the mean. While, in statistics, a central tendency is a central or typical value for a probability distribution. Some of the most common measures of central tendency consist of the arithmetic mean, the median, and the mode. Deviation means a change or a distance. But change is always followed by the word 'from'. Hence standard deviation is a measure of change or the distance from a measure of central tendency- which is normally the mean. Hence, standard deviation is different from a measure of central tendency.

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Answer:

The percent discount is 17.3%.

The value of x will be;

⇒ x = 4

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

On a Right triangle,

⇒ A = 18x - 2 , B = 20 , C = ?

Now,

Since, On a Right triangle,

One angle is at 90 degree.

Hence, C = 90°

Since,  A = 18x - 2 , B = 20 , C = 90°

Hence, We get;

⇒ 18x - 2 + 20 + 90 = 180

⇒ 18x - 2 + 110 = 180

⇒ 18x + 108 = 180

⇒ 18x = 180 - 108

⇒ 18x = 72

⇒ x = 4

Thus, The value of x will be;

⇒ x = 4

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Answer:

3x at the power of 2 -2x+21

ask for explanation if needed