Identify the graph h(x)=-x^2-7
Compare the graph of h to the graph of f(x)=x^2

Answer:

60

Step-by-step explanation:

119-59 = 60

Answer:

length = 9 in

width  = 5 in

Step-by-step explanation:

         Area of square =side * side

                Side² = 49

                Side = √49

                        = 7  inches

Let the measurement added to the length and removed from the width be 'x'.

length = (7 + x) in

width = (7 -x )in

Area of rectangle = length *width

       length * width = 45 square inches

      (7 + x)(7-x)         = 45

{Identity: (a + b)(a -b) = a² - b² where a = 7 & b = x}

       7² - x²  = 45

       49 - x² = 45

             -x²  = 45 - 49

            -x²   = - 4

               x²  = -4 ÷ (-1)

              x² = 4

               x = √4

              x = 2

Dimension of the rectangle:

         length =7 + 2 = 9 in

         width  = 7 - 2 = 5 in

The number of scores above 18 in a sample of 1000 cases with a mean of 14 and a standard deviation of 2.5 is 2 or higher. This can be found using standard normal distribution and z-scores.

To find the number of scores above 18, we need to calculate the z-score that corresponds to 18 and then use a standard normal distribution table to find the proportion of scores that are above that z-score. The z-score can be calculated as (18-14)/2.5 = 2.

Next, we can look up the proportion of scores that correspond to a z-score of 2 or higher in a standard normal distribution table. This proportion represents the number of scores in the sample that are above 18, assuming a normal distribution.

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Answer:

The answer final is : 11x  I'm very sure

Step-by-step explanation:

If you want me to expand on the equation leave me a comment

Answer: r=4

Step-by-step explanation:

12/3 = 4

48/3 = 4

192/48 = 4

When the residuals from a simple regression model appear to be correlated with x, this is known as heteroskedasticity.

Heteroscedasticity is a violation of the linear regression assumption where the variability of residual is not constant across the range of values of the independent variable. When the residuals from a simple regression model appear to be correlated with the explanatory variable x, this is known as heteroskedasticity. This type of problem arises when the variability of the residuals increases or decreases as the fitted value of the dependent variable increases. Heteroscedasticity can cause some problems in regression analysis, such as:

The regression coefficient estimation can be inefficient and biased.

It can be difficult to predict the values of the dependent variable accurately.

The results of the hypothesis test may be unreliable due to the assumption of normality or homoscedasticity.

In the given options, option III fills the blanks, which is Heteroskedasticity and Skewness.

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Answer:

24

Step-by-step explanation:

y= 24-4x

The rate at which the top of the ladder is slipping down at the instant when the bottom of the ladder is 15 feet from the base of the building is -75/8 feet per second

The length of the ladder = 17

Consider the length of the base as x and the height is h

The rate at which the ladder is sliding = 5 feet per second

dx/dt = 5

Apply the Pythagorean theorem

x^2 + h^2 = 17^2

h^2 = 289 - x^2

h = \(\sqrt{289-x^2}\)

The rate of change of height with respect to x is

dh/dx = - x / (289 - x^2)^(1/2)

dh/dt = dh/dx × dx/dt

Substitute the values in the equation

= - 15 / (289 - 15^2)^(1/2) × 5

= -15/8 × 5

= -75/8 feet per second

Therefore, the rate of change of height when x = 15 is -75/8 feet per second

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Answer:

A

Step-by-step explanation:

12x² - 7y² - 10x² + y² = 12x² - 10x² - 7y² + y²

                                 = (12 - 10)x² + (-7 + 1)y²

                                  = 2x² + (-6y²)

                                  = 2x² - 6y²

Answer:

y-intercept:  ( 0 , − 2 )

Step-by-step explanation:

To find the y-intercept, substitute in  0  for  x  and solve for  y

Answer:

(0,-2)

Step-by-step explanation:

Start with:

\(2x-5y=10\)

We are going to want this equation in slope-intercept form.

\(y=mx+b\)

\(mx=slope\)

\(b=y-intercept\)

To get the equation in slope intercept from, start by subtracting \(2x\) from both sides of the equation:

\(-5y=-2x+10\)

Now, divide both sides of the equation by \(-5\):

\(y=-\frac{2}{5}x -2\)

\(b=-2\)

\((0,-2)\)

Answer:

Step-by-step explanation:

Answer:

a, the letter is a and you welcome

Answer:

A) x+4y=13

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(2-4)/(5-(-3))

m=-2/(5+3)

m=-2/8

simplify

m=-1/4

y-y1=m(x-x1)

y-4=-1/4(x-(-3))

y-4=-1/4(x+3)

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

y=-1/4x-3/4+16/4

y=-1/4x+13/4

y-(-1/4x)=13/4

y+1/4x=13/4

4(y+1/4x)=4(13/4)

4y+4/4x=13

4y+x=13

x+4y=13

Answer:

Step-by-step explanation:

C. From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.

The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

The general form of the equation of a line is y = mx+b,

where m is the slope (rate of change) and b is the y-intercept (starting position)

In this case, the equation y = -7x - 3 can be used to represent this situation.

Thus, the starting position is 3 meters below sea level (-3) and the fish is descending 7 meters per second (-7).

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Complete Question

A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.

Which statement best describes the depth of the fish, given this equation?

A. From a starting position of 7 meters below sea level, the fish is descending 3 meters per second.

B. From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second.

C. From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.

D. From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second.

The correct answer is d. the volume of the prism is 648 cm³

We know that The volume of the prism is equal to

V = B * h

where

B is the area of the base

h is the height

in this problem

area of the base B is the area of a rectangle

B = 12 * 9

= 108 cm²

h is the distance perpendicular to the base

h = 6 cm

To the volume of the prism we will put the values in formula

V = 108 * 9

= 648 cm³

therefore, the correct answer is d the volume of the prism is 648 cm³

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Complete question is below

The base of the prism in the diagram is rectangular, but the edges that are not parallel to the base are tilted. What is the volume of the prism?

A) 216 cm³

B) 288 cm³

C) 534 cm³

D) 648 cm³

E) 864 cm³

Answer:

First we need to write this in proper form:

\(\frac{f(x)}{g(x)} =\frac{x^{2}-6x-7}{x+1} \\Factor f(x)\\\\f(x)=(x-7)(x+1)\\\\\frac{f(x)}{g(x)} =\frac{(x-7)(x+1)}{x+1} \\\\\\X+1 cancels out\\\\\frac{f(x)}{g(x)} =x-7\)

Correct answer is B, f/g(x) = x-7

---------------

#Team Trees #Team Seas #PAW #Spread_Positivity

I hope this helps,

-Oceanbreeze24

Answer: d=12

Step-by-step explanation:

4(65)+ 4d=308

multiply 65 by 4

260+4d=308

move the constant to the right

4d=308-260

calculate

4d=48

divide both sides

d=12

Answer:

40 cm

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = lb ( l is the length and b the breadth )

Here b = 20 and A = 800 , then

l × 20 = 800 ( divide both sides by 20 )

l = 40 cm

a and c are directly proportional to each other when a and b are directly proportional and b and c are directly proportional.

If a and b are directly proportional and b and c are directly proportional, it means that their ratios are equal. Direct proportionality implies that as one variable increases, the other also increases in proportion and as one variable decreases, the other also decreases in proportion.

Mathematically, this can be written as

a = kb and b = mc, where k and m are constants of proportionality.

Multiplying these two equations gives: a = kbm

Substituting the value of b from the second equation in the first equation, we get: a = kmc

Therefore, a and c are also directly proportional to each other with a constant of proportionality km.

Thus, if a increases by a certain factor, c will also increase by the same factor.

If a and b are directly proportional and b and c are directly proportional, then it can be concluded that a and c are directly proportional as well.

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Answer:  b

Step-by-step explanation:

I think

Answer:

part1:Q1- 30, 15, 15, 30; Q2- 30, 15, 15, 30; Q3- 30, 15, 15, 30; Q4- 30, 15, 15, 30

Step-by-step explanation:

i just did simple math

The probability is 0.01087 (rounded to five decimal places).

Let's first consider the possible positions the piece can be in after 8 moves. Since the piece can only move up or to the right, it can be in any position on the line that goes from the starting position (lower left corner) to the upper right corner of the grid. Since there are 8 moves, this line consists of 9 points. We can count the number of ways the piece can get to each of these points using combinations.

For example, to get to the point that is 4 inches up and 4 inches to the right of the starting position, the piece must move up 4 times and to the right 4 times, in any order. This is equivalent to choosing 4 moves out of the 8 total moves to be "up" moves, which can be done in C(8,4) = 70 ways. Similarly, the number of ways to get to each of the other 8 points on the line can be calculated using combinations.

Now we need to find the number of ways the piece can end up at a point that is exactly 4 inches away from the starting position. There are two such points on the line, which are 4 inches up and 4 inches to the right, and 4 inches to the right and 4 inches up, respectively. The total number of ways the piece can get to either of these points is C(8,4) + C(8,4) = 140.

Therefore, the probability that the center of the piece will be exactly 4 inches away from where it started after 8 moves is 140 divided by the total number of ways the piece can end up, which is C(8+8,8) = C(16,8) = 12,870.

The probability is therefore:

P = 140/12,870 = 0.01087 (rounded to five decimal places).

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By simple algebra, Jane is 57 9/20 inches taller.

If one object or person's height exceeds that of another, the taller object or person is said to exist. There is a two-object or two-person limit. Taller is a relative term. For instance: Hoppy stands at 7 feet.

You can begin this issue by first figuring out Dwight's height. At 54 3/4 inches, he would be 1 1/2 inches taller than Chloe:

54 3/4 plus 1 1/2 equals 55 + (3/4 + 1/2) equals 55 + (3/4 + 2/4) equals 55 + 5/4 equals 56 1/4 inches.

Dwight stands at 56 1/4 inches.

Dwight is 1 1/5 inches shorter than Jane, so

56 1/4 plus 1 1/5 is 57 plus (1/4 plus 1/5) is 57 plus (5/20 plus 4/20) is 57 plus 9/20 is 57 9/20 inches.

Jane stands at 57 9/20 inches.

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The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).

Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.

The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.

Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:

Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,

we have:Length of the field, l = 11 m

Width of the field, w = 12 m

Area of the field = l × w = 11 × 12 = 132 sq. m

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Answer:

1800 miles

Step-by-step explanation:

If they traveled 300 miles per day and traveled for 6 days you would multiply 300 by 6 and get 1800. I hope that helps

When the sample size is increased, the LCL comes closer to the process mean and the UCL moves farther from the process mean.Hence, (c) When a Type I error is made, the process will be declared out of control and adjusted when the process is actually in control.

(d) When a Type II error is made, the process will be declared in control and allowed to continue when the process is actually out of control. The probability of a Type I error for a sample of size 10 is 0.0027, for a sample of size 20 is 0.0014, and for a sample of size 30 is 0.0010. Increasing the sample size provides a more accurate estimate of the process mean and reduces the probability of making a Type I error.

The advantage of increasing the sample size for control chart purposes is that the error probability is reduced as the

When the sample size is increased, the LCL comes closer to the process mean and the UCL moves farther from the process mean.The process will be declared out of control and adjusted when the process is actually in control.When a Type II error is made, the process will be declared in control and allowed to continue when the process is actually out of control.

The probability of a Type I error for a sample of size 10 is 0.0027, for a sample of size 20 is 0.0014, and for a sample of size 30 is 0.0010.The advantage of increasing the sample size for control chart purposes is that the error probability is reduced as the sample size is increased.

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The corresponding equation is 4q + 3p = 22.

What is the slope of a line ?

The ratio of the change in the y coordinate to the change in the x coordinate is known as a line's b in mathematics.

Y and X, respectively, stand for the net change in the y-coordinate and the net change in the x-coordinate. Locate two locations along the chosen line and find their coordinates.

Find the y-coordinate difference between these two places (rise). Find the difference between the x-coordinates of these two points (run). Subtract the difference in y-coordinates from the difference in x-coordinates (rise/run or slope).

The slope is defined as the relationship between the rise, or vertical change, between two points and the change, or horizontal change, between the same two points and can be represented as an equation.

Given that, coordinates are (p, 1/2) and (-8, q), slope is 3/4.

m = (y2 - y1)/(x2 - x1)

34 = (q - 1/2)/-8 - p

-24 - 3p = 4q - 2

4q + 3p = 22

The corresponding equation is 4q + 3p = 22.

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