2. Use the Pythagorean Theorem to solve for c.
5 feet
18 feet

The ratios associated to the line segment QR are QP : PR = 1 : 4 and QP : QR = 1 : 5.

In this problem we find a line segment defined by points Q(x, y) = (1, 7) and R(x, y) = (- 9, - 8) and whose partition point is P(x, y) = (- 1, 4), whose ratios must be found. First, find the lengths of line segments QP and PR by Pythagorean theorem:

QP = √[(- 1 - 1)² + (4 - 7)²]

QP = √[(- 2)² + (- 3)²]

QP = √13

PR = √[[- 9 - (- 1)]² + (- 8 - 4)²]

PR = √[(- 8)² + (- 12)²]

PR = 4√13

QR = 5√13

Second, determine the ratios:

QP : PR = √13 : 4√13

QP : PR = 1 : 4

QP : QR = √13 : 5√13

QP : QR = 1 : 5

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Answer:

Yes

Step-by-step explanation:

$24 divided by 6 equals 4

$52 divided by 13 equals 4

A uniform random variable's density function is f(y) = 1 for y 1 and 0 otherwise. F(y) = 0 for y 0, F(y) = y for 0 y 1, and F(y) = 1 for y > 1 define the distribution function.

A uniform random variable's density function is f(y) = 1 for y 1 and 0 otherwise. Accordingly, the likelihood of any specific outcome of y is the same, and the likelihood of any range of outcomes is equal to the length of the range. F(y) = 0 for y 0, F(y) = y for 0 y 1, and F(y) = 1 for y > 1 define the distribution function. Accordingly, the length of the range multiplied by the likelihood of any specific occurrence yields the cumulative probability of any range of outcomes. Since the likelihood of any specific result in that range is 1 and the range's length is 0.5, for instance, the cumulative probability of 0 y 0.5 is 0.5. Since the likelihood of any given result within that range is still 1, but the range's length is 0.5, the cumulative probability of 0.5 y 1 is 0.75. The chance of any range of outcomes for y1 and y2 if they are independent random variables both having the uniform(0,1) distribution is just the sum of their respective cumulative probabilities.

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The number that is equal to four and five sixths is A. four and eighty three hundredths with the three repeating

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

The number that is equal to 4 5/6 will be illustrated thus:

= 4 5/6

= 4 + 0.8333.

= 4.8333

In this vase, the 3 is repeating. Therefore, the correct option is A.

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Answer:

46.2 degrees

Step-by-step explanation:

Use arcsin function (make sure calculator is in degree mode) and perform

\(sin^{-1} (\frac{13}{18} )\\=Angle\)

=46.2 degrees

SOLUTION

The given expressions are

Simplify each expression

The second fraction is simplified as follows:

Comparing the denominator of the simplified expression,

The least common denominator is

Answer:

1 year interest: $31000 + $4030

2 year interest: $35030 + $4553.9

3 year interest: $39583.9 + $5145.4

4 year interest: $44729.3

Final Interest: $47120

Step-by-step explanation:

I hope this helps! have a nice day!

Step-by-step explanation:

if you can put a vertical line through it and it only touches the line once it's a function

Answer:

Step-by-step explanation:

At a price of $3, the total revenue will be the greatest, and the company will sell 3 units at that price.

To find the total revenue at each price, we can multiply the price by the corresponding quantity.

Price        Quantity          Total Revenue

$6                0                      $0

$5                 1                       $5

$4                 2                       $8

$3                 3                        $9

$2                 4                         $8

$1                  5                          $5

To find the price at which total revenue is the greatest, we look for the highest value in the Total Revenue column.

In this case, the highest total revenue is $9, which occurs when the price is $3.

At a price of $3, the company will sell 3 units (as indicated in the Quantity column).

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Answer:

14p -3

Step-by-step explanation:

-7p 3(4p 2+3p - 1)

3x4= 12p

3x3=9p

12+9= 21

21-7=14p

3x2=6

3x-3=-9

-9 +6= -3

= 14p -3

hope this helps :)

After substituting the values as x=3 and y=7, the value of the expression "2x²-y¹+3x⁰" is 14.

In mathematics, an expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, and division) that can be simplified or evaluated to a numerical value.

To evaluate the expression 2x²-y¹+3x⁰ for x=3 and y=7, we substitute the given values, which are x=3 and y=7 into the expression and simplify:

On substituting the values,

We get,

= 2x² - y¹ + 3x⁰

= 2(3)² - 7¹ + 3(1)

= 2(9) - 7 + 3

= 18 - 7 + 3

= 14

Therefore, when x=3 and y=7, the value of the expression 2x²-y¹+3x⁰ is 14.

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Answer:

that answer is 4

Step-by-step explanation:

divide the percent  by 40 and you get 4

Answer:

it is 4 dollars off

Step-by-step explanation:

40/10=4 and since it's 90% off, we multiply 4 x 9.

4 x 9 = 36. 40 - 36 = 4.

Answer:

  x = 36

Step-by-step explanation:

Given a tangent segment of length 24, and a secant segment from the same point with an external length of 12 and a total length of (12+x), you want to find the value of x.

The product of lengths from the common point to the two intersections with the circle are the same for both segments. In the case of the tangent, the two intersections with the circle are the same point, so the square of the length is used.

  24² = 12(12 +x)

  2·24 = 12 +x . . . . . . . divide by 12

  36 = x . . . . . . . . . subtract 12

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The solution that is the closest estimate of the amount of glass Maria will need to construct her pyramid would be =5289.25 cm squared. That is option C.

To calculate the area of a square based pyramid, the formula that should be used would be given below as follows:

\(area = {a}^{2} + 2a \sqrt{ \frac{a2}{4} } + {h}^{2} \)

Where:

a= 44cm

height= 44²-22²= 38.1cm

Area= 44²+ 2(44) × √44²/4 + 38.1²

= 1936+88 × √ 484+1452

= 2024× √1936

= 5807.61 cm².

Therefore the closest estimate to the final answer would be 5289.25 cm squared

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Answer:

The correct answer is: u = 10,500. When the value of the alternative hypothesis is greater than that of the null hypothesis, the power of the test will be increased, so a value of u = 10,500 would yield the greatest power to reject the null hypothesis.

Answer:

The additional data point of a participant watching 30 hours of television each week will affect the mean number of hours of television watched.

Step-by-step explanation:

In this case, since the new data point of 30 is significantly larger than the rest of the data points, it will increase the overall average. Therefore, the correct answer is: "The mean number of hours will increase."

Answer:The mean number of hours will increase

Step-by-step explanation:

Step 1: Calculate the sum of the existing data points:

0 + 2 + 2 + 2 + 3 + 4 + 4 + 5 + 5 + 6 + 6 + 7 + 7 + 7 + 8 + 10 + 10 + 12 + 14 + 15 + 15 + 16 = 190.

Step 2: Count the total number of data points (including the additional data point): 22 + 1 = 23.

Step 3: Add the value of the additional data point: 190 + 30 = 220.

Step 4: Calculate the new mean: 220 / 23 = 9.565.

Step-by-step explanation:

The existing data points are summed up to get a total of 190 hours.

Including the additional data point, there are a total of 23 data points.

The value of the additional data point, 30, is added to the total sum of hours, resulting in a sum of 220.

The new sum (220) is divided by the total number of data points (23) to calculate the new mean, which is approximately 9.565.

Therefore, the mean number of hours of television watched each week will increase when the additional data point of 30 hours is included.

Answer:

Hope this helps lol !

Step-by-step explanation:

This is how to calculate net price. Start with the list price and add any taxes and other government-mandated charges. Then subtract any discounts, negotiated prices. The result you get will be the net price.

On solving the provided question, we can say that - the range \(|x + 1| = 0\) \(x + 1 = 0 = > x = -1\) and \(y = 3\)

Finding the variable's greatest observed value (maximum) and deducting the least observed value will yield the range (minimum). Limits of variation or potential range: a variety of steel costs; several styles; The size or scope of an action or operation: insight. how far a weapon's projectile can or will travel. The number in a list or set between the lowest and maximum is referred to as a range. Line up all the numbers before locating the region. After that, take away (get rid of) the lowest number from the greatest number. The solution provides the list's range.

The regions where the absolute values are zero are known as the vertex points of an absolute value function.

\(|x + 1| = 0\\x + 1 = 0\\x = -1\)

\(y = |-1 + 1| + 3\\y= 0 + 3\\y = 3\)

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Answer:

552.64\(mm^{2}\)

Step-by-step explanation:

base area is a circle, so

base=\(\pi r^{2}\)=3.14x\(8^{2}\)=200.96 \(mm^{2}\)

c= \(2\pi r\)=2x3.14x8=50.24

surface =2 x base +c x height=2x200.96+50.24x3

                                             =401.92+150.72

                                              =552.64\(mm^{2}\)

Answer:

Volume = 192π mm^3
Surface Area = 174π mm^2

Step-by-step explanation:

First, let's find the volume of the object. Because we know the radius of the cylinder, we can use the equation πr² to find the area of the circle. That gives us 64π, and all we have left to do is multiply by the height of the object which is 3. This gives us an area of 192π.

Next, let's find the surface area. To find the SA around the cylinder, we'll find the circumference of the circle then multiply by the height. 2πr for the circumference of the circle gives us 16π, and multiplying by the height gives us 48π. All that's left to do is add the area of the top and bottom circle which we've already determined to be 64π (multiply it by 2 because there are 2 circles) 48π+128π is 174π, which is our final Surface Area.

Answer:

-12/25

Step-by-step explanation:

the both solutions are incorrect.

The correct solution is:

25b= -11-1;

25b=-12;

b=-12/25 or b= -0.48

Answer:

b = -30

Step-by-step explanation:

The reason why I disagreed with both equation's is because they both did something wrong in the equation the correct answer will be b= -30. First thing I did was write out the equation 2/5b + 1 = -11 then what I did was cancel out the 1 which is subtracting and remember when you subtract one side you did with the other so I also subtracted (add) 1 to -11 which got me -12 so now my equation is 2/5b = -12. Now I got to cancel out the 2/5b so what I did was multiply the fraction by it's reciprocal and if you do that to one side you do that to the other, then -12 * 5 is -60 then divide by 2 which is -30. So the final answer is b = -30.

I did this for my homework and it was graded correctly hopefully I wasn't to late :)

D

is the correct answer

I hope this helps!

Answer:

$3498.11 at the end of 10 years.

Step-by-step explanation:

2000 + 0.0575*2000*10 = 3150 dollars at the end of 10 years.

Answer:

1890 cubic inches

Welcome back....♡

Surface area = 2( 4 × 2 ) + ( 3 × 4 )

+ 2( 4 × 4 ) + 3( 10 × 4 )

+ 3( 4 × 7 )

Surface area = 16 + 12 + 32 + 120 + 84

Surface area = 264 in^2

Answer:

es tiens que multiplication

Answer:

x= -13/10

Step-by-step explanation:

First, distribute the -6.

-3x-6(2x+8)=-5x-35

-3x-12x-48=-5x-35

Combine Like Terms.

-15x-48=-5x-35

Add 48 to both sides to have 1 variable by itself.

-15x=-5x+13

Add 5x to both sides of the equation.

-10x=13

Divide by 10 on both sides to simplify.

Therefore, giving you -13/10 or -1.3 as a decimal.

Answer:

A. 3/5

Step-by-step explanation:

Simple math, 9/15. Divide both by 3.

3*3=9 and 3*5=15 so answer is 3/5!

Answer:

answer is A

Step-by-step explanation:

this is a probability question

divide the number of baskets made by the total number of attempts

9/15 = 3/5

The equation of the transformed graph will be y = -3(2ˣ) + 2.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

Suppose the equation of the given graph is y = A 2ˣ + k.

Substitute,(0,-1)

-1 = A 2⁰ + k

A + k = -1                (1)

Substitute, (1,-4)

-4 = A 2¹ + k

2A + k = -4            

A + k/2 = -2            (2)

Subtract 1 - 2 as

k - k/2 = -1 + 2

k/2 = 1

k = 2

And, A = -2 - 2/2

A = -3

Thus y = -3(2ˣ) + 2

Hence "The equation of the transformed graph will be y = -3(2ˣ) + 2 ".

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To find the equation of a line that passes through the points (5, -3) and (-2, -4) in standard form, we can use the point-slope form of a linear equation and then convert it to standard form.

Determine the slope (m) of the line using the formula:

   m = (y2 - y1) / (x2 - x1)

For the given points (5, -3) and (-2, -4), we have:

   m = (-4 - (-3)) / (-2 - 5) = (-4 + 3) / (-2 - 5) = -1 / (-7) = 1/7

Use the point-slope form of a linear equation:

   y - y1 = m(x - x1)

Using the point (5, -3), we have:

   y - (-3) = (1/7)(x - 5)

Simplifying:

   y + 3 = (1/7)(x - 5)

Convert the equation to standard form:

Multiply both sides of the equation by 7 to eliminate the fraction:

   7y + 21 = x - 5

Rearrange the equation to have the x and y terms on the same side:

   x - 7y = 26

The equation of the line in standard form that passes through the points (5, -3) and (-2, -4) is x - 7y = 26.

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Answer:

Step-by-step explanation:

Answer:

For month 1, the current balance is $2750.00, the interest is $45.38, and the payment is $75.00. The amount applied to principal is $29.62.

For the remaining months, the interest and payment amount will stay the same, but the current balance and amount applied to principal will change based on the previous month's numbers.

Point of view:

Here's your answer but I prefer you to focus and study hard because school isn't that easy. But i'm glad I could help you!

:)

The width of the field is 230 feet and the length is 310 feet.

Let's denote the width of the field as "x" feet.

The length of the field is 80 feet longer than the width, so it can be represented as "x + 80" feet.

To find the total amount of fencing material needed, we sum up the lengths of all four sides of the rectangular field:

2(length) + 2(width) = perimeter

Substituting the given values:

2(x + 80) + 2(x) = 1080

2x + 160 + 2x = 1080

4x + 160 = 1080

4x = 920

x = 920/4

x = 230

Therefore, the width of the field is 230 feet.

Now we can find the length by adding 80 feet to the width:

Length = Width + 80 = 230 + 80 = 310 feet.

So, the width of the field is 230 feet and the length is 310 feet.

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