A piece of lumber is 17 feet long. You cut the lumber into logs that are 18 inches long.

How many inches of lumber are remaining?

the area of the region of points satisfying the inequalities x ≤ 0, y ≤ 0, and y ≥ |x + 4| − 5 is 12.5 square units.

Answer:

2/3

Step-by-step explanation:

I used the "rise over run" technique. You find the change in y, over the change in x

Answer:

Step-by-step explanation:

(a) Mean = (39+50+50+55+55+55+65+85+100+125+175+175+200+

209+250+250+325+400+425+500+500+500+500+1500+2500) ÷ (25)

               = (9088) ÷ (25)

              = 363.52

The mean of the data is 363.52

(b) Given: 39, 50, 50, 55, 55, 55, 65, 85, 100, 125, 175, 175, 200, 209, 250, 250, 325, 400, 425, 500, 500, 500, 500, 1500, 2500.

the median value is 200.

(c) The mode is the value with highest frequency. The mode is 500.

(d)  Mid range = \(\frac{39+2500}{2} \\\)

                      = 1269.5

An outlier is a value that is significantly different from other values in the data, thus affects the mean considerably. Yes, 2500 is the outlier.

Answer:

14^3 = 2,744. Common factors are 1,2,4,7,8,14,28,49,56...

13^4 = 2,197. Common factors are 1, 13, 169, and 2197.

Answer:

There are 14 outcomes in the sample space.

x= { x/x ∈ b, where b≠0 }

Step-by-step explanation:

The tree diagram is as follows

                                                                                                   Sample Space

Margo→→→→Beach (b)→→→→→→→1 destination→→→→→→→5 condos              5

     ║                   ║→→→→→→→→→→2 destination→→→→→→→→→4 condos       4

     ║

     ║

     ║→→→→→Mountain (m) →→→→→→→→1 destination→→→→→→ 1condo         1

                                    ║→→→→→→→→→→2 destination→→→→→ 1condo         1

                                     ║→→→→→→→→→→ 3destination→→→→→ 3 condos     3

Part a:

There are 14 outcomes in the sample space .

5+4+1+1+3= 14

Part b:

Margo picks a beach destination in set notation is

x= { x/x ∈ b, where b≠0 }

x such that x belongs to b ( beach destination) and b is not equal to zero.

The length of Marisa's garden is 10

The given parameters are:

Perimeter = 32 feet

Width = 6 feet

The perimeter is calculated as:'

Perimeter = 2 * (Length + width)

So, we have

2 * (Length + 6) = 32

Divide by 2

Length + 6 = 16

Subtract

Length = 10

Hence, the length of Marisa's garden is 10

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Answer: B

Step-by-step explanation:

Based on the function, this is most likely a function of absolute value.

The domain is how far the "x" values go, so as the function shows, it is all real numbers.

As for the range, it's how far the "y" values go, which doesn't go below 0, but only increases, so you can express this as y >= 0

So, the answer is B.

Answer:

the answer for this question is b

Answer:

2

Step-by-step explanation:

The required measure of the numerical length of RS is 4.

Given that,
Point S is on line segment RT.
ST = 2x, and RT = 4x, and RS = 4x – 4,
To determine the numerical length of RS.

A line is a curve showing the shortest distance between 2 points.
Standard equation of the line, y = mx + c, where m is slope of the equation and c is y-intercept of the equation.

Here,

Point S is on line segment RT
The total length of RT,

RT = RS + ST
4x = 4x - 4 + 2x
4x  = 6x - 4
2x = 4
x = 2

RS = 4 x - 4
RS = 4 * 2 - 4
RS = 4

Thus, the required measure of the numerical length of RS is 4.

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Answer:

the the figure shown x=7

Answer:

7°

Step-by-step explanation:

7x + 5 °+ 36° + 90 °= 180° ( being sum of angles of triangle )

7x + 131° = 180°

7x = 180 °- 131 °

7x = 49°

x = 49° / 7

x = 7°

The difference in the maximum values of the functions ​g(x) ​and ​f(x)​ is 3

The functions are given as

f(x) = -(x - 3)² + 9

Table of g(x)

x    −3 −4 −2 0 −1  4

g(x) 0   8   1  12  2  8

The maximum value of f(x) is when the root expression is 0

i.e. -(x - 3)² = 0

So, we have

Max f(x) = 0 + 9

Max f(x) = 9

For the table of values, we have

Max g(x) = 12

The difference between these values is

Difference = 12 - 9

Evaluate

Difference = 3

Hence, the difference is 3

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Kamryn would save $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.

To determine the amount of interest Kamryn will save by raising her credit score from 665 to 680, we need to compare the interest rates associated with each credit score range.

According to the given information, a credit score of 665 falls within the range of 580-669, where the corresponding simple interest rate is 10.358%.

Let's calculate the interest Kamryn would pay on a loan of $13,250.00 at an interest rate of 10.358%.

Interest = Principal * Rate

= $13,250.00 * 0.10358

≈ $1,370.56

Therefore, if Kamryn were to borrow $13,250.00 with a credit score of 665, she would pay approximately $1,370.56 in interest.

Now, let's consider the scenario where Kamryn raises her credit score to 680. A credit score of 680 falls within the range of 670-739, where the corresponding simple interest rate is 9.132%.

Calculating the interest with a credit score of 680:

Interest = Principal * Rate

= $13,250.00 * 0.09132

≈ $1,210.57

Thus, if Kamryn were able to raise her credit score from 665 to 680, she would save approximately $1,370.56 - $1,210.57 = $159.99 in interest.

Therefore, Kamryn would save approximately $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.

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Answer:

everything is black :/

Step-by-step explanations:

Answer:

ummm the answer is very simple

The answer is 0/6

Step-by-step explanation:

\( \frac{1}{2 \times 3} - \frac{1}{6} \)

\( \frac{1}{6} - \frac{1}{6} \)

\(1 - 1 = \frac{0}{6} \)

Answer:

9.95h + 5  ≤ 125

Step-by-step explanation:

let 'h' = number of hats

Step-by-step explanation:

therefore the answer is option

b) X= 15/4

Given:

Equation of line is:

The general equation of line is:

Solpe of given line is:

Slopes of two parallel line is equal then:

General equation is:

Line pass through (20,-8) that mean:

So the equation of line is:

Equation of line is 3x-5y=100

Answer:

1. b_ 2. a_ 3. c_ 4. d

Step-by-step explanation:

1 is b mainly because it is marked that way. Your picture doesn't show all of d so not really sure about it, but I used the process of elimination. Picture c is side angle side b/c of the vertical angles.

Answer: 1/4

Step-by-step explanation: I think that’s the answer! i’m sorry i’m in 8th fe are

To determine the area of the remaining piece of cardboard expressed in terms of x when a square of side length x inches is cut out from a rectangular piece of cardboard having a length of 6x+2 inches and a width of 2x-4 inches, use the following steps.

Draw and label a diagram of the problem. The rectangle should be labeled as 6x+2 inches by 2x-4 inches, and the square cut out should be labeled as x inches by x inches. This is how the diagram looks like: Determine the area of the rectangle, Arect.

The area of the rectangle is given by the product of its length and width. Thus, Arect = (6x + 2)(2x - 4) Determine the area of the square, Asq. The area of the square is given by the square of its side length. Thus, Asq = x²Step 4: Determine the area of the remaining cardboard after the square is cut out, Ar.

This is the difference between the area of the rectangle and the area of the square. Thus, Ar = Arect - Asq= (6x + 2)(2x - 4) - x²= 12x² - 20x - 16

Simplify the expression. The final answer is given in terms of x. Thus, Ar = 12x² - 20x - 16.The area of the remaining piece of cardboard is expressed in terms of x as 12x² - 20x - 16.

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The annual interest is $22.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

Given;

Amount invested= $550

Annual interest= 4%

SI= 550*4*1/100

=5.5*4

=22

Therefore, the simple interest will be $22.

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The order of the graphs from largest to lowest correlation coefficients is:

Graph D, Graph A, graph C, graph B.

The correlation coefficient between two variables is a coefficient that tells us "how much" these variables relate.

So, in the case for linear correlation, as "more linear" the data appears to be, a large correlation is between the two variables.

With that in mind, we conclude that the order of the graphs (going for larger correlation coefficient to smaller correlation coefficient) is:

Graph D, Graph A, graph C, graph B.

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The volume of the cube with a diagonal of 4√2 is 64 cubic units.

To find the volume of a cube, we need to know the length of its side. In this case, we are given the length of the diagonal, which we can use to find the side length.

Let's assume the side length of the cube is represented by "s". We know that the diagonal of a cube forms a right triangle with two sides of equal length, which are the sides of the cube.

Using the Pythagorean theorem, we can set up the equation:

s² + s² = (4√2)²

Simplifying the equation:

\(2s² = 32\)

Dividing both sides by 2:

\(s² = 16\)

Taking the square root of both sides:

\(s = 4\)

Now that we have the side length of the cube, we can find the volume by cubing the side length:

Volume = s³ = 4³ = 64 cubic units.

Therefore, the volume of the cube with a diagonal  of 4√2 is 64 cubic units.

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The volume of the cube whose diagonal is 4√2 is 128√2 cubic units.

To find the volume of a cube, we need to know the length of its side. Given that the diagonal of the cube is 4√2, we can use this information to determine the side length.

In a cube, the diagonal is related to the side length (s) by the equation:

diagonal = s√3

The given diagonal is 4√2. So we can set up the equation:

4√2 = s√3

To find s, we can divide both sides of the equation by √3:

s = (4√2) / √3

To simplify this expression, we can rationalize the denominator by multiplying both the numerator and denominator by √3:

s = (4√2 ׳ √3) / (√3 × √3)

s = (4√6) / √3

Now, let's calculate the value of s:

s = (4√6) / √3

s = (4/√3) × √6

s = (4/√3) × (√3 × √2)

s = 4√2

So the side length of the cube is 4√2.

Now, to calculate the volume of the cube, we use the formula:

Volume = side^3

Volume = (4√2)³

Volume = 4³ × (√2)³

Volume = 64 × 2√2

Volume = 128√2

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Answer:

ktjh

Step-by-step explanation:

Teuta bought the car for 8545.71 eu.

What is percent in math?

Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. For example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.

Let's assume that the initial price of the car is x.

After a 23% drop in price, the new price of the car is: x -0.23x = 0.77x

We know that the new price after the first year is 6575.8 eu: 0.77x = 6575.8

Solving for x, we get: x = 6575.8/0.77 8545.71

Therefore, Teuta bought the car for approximately 8545.71 eu.

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Parallelogram have two pairs of opposite sides that are parallel and congruent.

In a parallelogram, two pairs of opposite sides are parallel and congruent. A parallelogram is a quadrilateral with opposite sides that are parallel and congruent. Therefore, any pair of opposite sides in a parallelogram satisfies the criteria of being both parallel and congruent.

For example, let's consider a parallelogram ABCD:

These two pairs of opposite sides, AB and CD, and AD and BC, are parallel (they never intersect) and congruent (they have the same length).

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Answer:

f = -6

Step-by-step explanation:

The maximum temperature during summer in that year was 34°C.

It's not possible for the maximum temperature in Gulmarg, Kashmir to rise by 44°C during the summer.

A temperature rise of that magnitude would be extremely unusual and potentially dangerous.

However, assuming that the question meant to ask about the difference between the minimum temperature in January and the maximum temperature in summer, we can proceed with the calculation.

The minimum temperature in January was -10°C, and if we add 44°C to it, we get:

-10°C + 44°C = 34°C

Therefore, the maximum temperature during summer in that year was 34°C.

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If we assume that σ = 15 then the required sample size is 216 .

In the question ,

it is given that ,

the standard deviation is (σ) = 15

we want to be  95% confident . So , α \(=\) 1 - 0.95 = 0.05

So , \(Z_{\frac{\alpha }{2} }\) is = \(Z_{\frac{0.05 }{2} }\) = Z₀.₀₂₅

from z table ,

Z₀.₀₂₅  = 1.96 .

e is given to be = 2 IQ points

the sample size (n) is calculated using the formula .

n = (σ × \(Z_{\frac{\alpha }{2} }\)/e)²

Substituting the values ,

we get ,

n = (15 * 1.96/2)²

n = (29.4/2)²

n = (14.7)²

n = 216.09

n ≈ 216

Therefore , the sample size necessary to estimate the mean IQ score of statistics students is 216 .

The given question is incomplete , the complete question is

The standard IQ test is designed so that the mean is 100 and the standard deviation is 15 for the population of all adults. We wish to find the sample size necessary to estimate the mean IQ score of statistics students. Suppose we want to be 90% confident that our sample mean is within 2 IQ points of the true mean. Assume then that σ = 15 and determine the required sample size .

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