Help! Will give brainliest if correct. Wrong answers will get reported. Plz, don't steal points my grade depends on this! Thx in advance!

Here you go :)

Slope is equal to the change in y over the change in x or rise over run:

m = change in y/change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise):

m=y2−y1/x2−x1

Substitute in the values of x and y into the equation to find the slope:

m=5−(−8)/8−(4)

Simplify:

m=13/4

Substitute the value of m into the slope-intercept form of the equation, y = m x + b :

y=(13/4)x+b

Substitute the value of x into the slope-intercept form of the equation, y = m x + b .

y = ( 13/ 4 ) ⋅ ( 4 ) + b

Substitute the value of y into the slope-intercept form of the equation, y = m x + b .

− 8 = ( 13/ 4 ) ⋅ ( 4 ) + b

Rewrite the equation as ( 13 4 ) ⋅ ( 4 ) + b = − 8 .

( 13/ 4 ) ⋅ ( 4 ) + b = − 8

Cancel the common factor.

13/ 4 ⋅ 4 + b = − 8

Rewrite the expression.

13 + b = − 8

Move all terms not containing b to the right side of the equation.

b = − 21

The values of the slope and y-intercept are m = 13 4 and b = − 21 .

m = 13 4

b = − 21

________

Answered by James

Answer:

Option C

Step-by-step explanation:

Lets calculate 3(q + 2) first;

Distribute;

3(q + 2) = 3q + 6

Option C because 3(2 + q) = 6 + 3q

The dimension of the row space of a 9x6 matrix must equal the number of pivot positions, which is at most 6. The largest possible dimension of the row space of a 6x9 matrix must equal the number of pivot positions, which is at most 6.

A matrix is a rectangular array of integers or other mathematical representations organised in rows and columns. A matrix, in other terms, is an array of numbers or symbols organized in a table-like arrangement.

In the given question,

A's row space dimension is equal to the number of pivot places in A. Because a 9x6 matrix has more rows than columns, the dimension of the row space must equal the number of pivot places, which is at most 6. As a result, the greatest feasible dimension of a 9x6 matrix's row space is 6. Similarly, because a 6x9 matrix has more columns than rows, the dimension of the row space must equal the number of pivot places, which is limited to six. As a result, the greatest feasible dimension of a 6x9 matrix's row space is 6.

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Answer:

The correct answer option is 192

Step-by-step explanation:

We are given the results of a random survey about the preferred service for streaming movies.

We are to find the number of people we would expect to prefer Company B.

Number of people using service B = 32

Total number of people = 125

Number of people expected to prefer Company B =32/125 x 750  = 192

given that 3(x+8)=12

on multiplying 3 into(x+8) we get

3x+24=21

3x=21-24

x=-3/3

x=-1

According to the provided equation

     3x + 24 = 21

        3x = 21 - 24

             3x = -3                      

             x = -3/3

               x = -1

Answer:

Step-by-step explanation:

Remember that

Area of Circle = \(\pi r^2\)

\(\pi = pi \\r = radius\)

They told us that for this circle, the area is \(144\pi m^2\)

If you put it back into the formula for area of a circle we get:

Area of Circle = \(\pi r^2\)

\(144\pi = \pi r^2\)

Divide both sides by \(\pi\).

144 = \(r^2\)

Now we want to solve for r (r = radius).

You need to square root each side

\(\sqrt{144} = \sqrt{r^2}\)

\(12 = r\)

So now we know the radius, \(r = 12\) metres

Also remember that

Diameter = \(2r\)

So,

Diameter = 2 times 12 = 24 metres

The required diameter of the given circle is 24 meters.

The area of the circle is given by the pie times square of the radius.

Area of circle = πr^2

Here,
The given area of the circle is 144π m²
And we know that,
Area = πr²

substitute the value of the area in the above expression,

144π = πr²
r² = 144
r = √144
r = 12 meters

Since,
Diameter = 2 × radius
Diameter = 2 × 12 = 24 meter

Thus, the required diameter of the given circle is 24 meters.

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Answer: (a) To determine the 29th percentile for the number of chocolate chips in an 18-ounce bag of Chips Ahoy! cookies, we need to find the value of x such that 29% of the bags have a smaller number of chocolate chips than x. We can use the standard normal distribution and the z-score formula to do this:

z = (x - μ) / σ

where μ is the mean, σ is the standard deviation, and z is the z-score corresponding to the desired percentile. We want to find the z-score for the 29th percentile, which we can look up in a standard normal distribution table or use a calculator to find as -0.87. Plugging in the values we have, we get:

-0.87 = (x - 1262) / 118

Solving for x, we get:

x = -0.87 * 118 + 1262 ≈ 1153

Therefore, the 29th percentile for the number of chocolate chips in an 18-ounce bag of Chips Ahoy! cookies is approximately 1153 chips.

(b) To determine the number of chocolate chips in a bag of Chips Ahoy! that make up the middle 97% of bags, we need to find the range of values that includes the middle 97% of the distribution. This corresponds to the range between the 1st and 97th percentiles, which we can find using the z-score formula and a standard normal distribution table or calculator.

The z-score corresponding to the 1st percentile is -2.05, and the z-score corresponding to the 97th percentile is 1.88. Using the same formula as before, we can find the values of x that correspond to these z-scores:

-2.05 = (x - 1262) / 118

x = -2.05 * 118 + 1262 ≈ 994

and

1.88 = (x - 1262) / 118

x = 1.88 * 118 + 1262 ≈ 1536

Therefore, the number of chocolate chips in a bag of Chips Ahoy! that make up the middle 97% of bags is between approximately 994 and 1536 chips.

(c) The interquartile range (IQR) is a measure of the spread of a distribution that represents the range between the 25th and 75th percentiles. We can find the values of x that correspond to these percentiles using the z-score formula and a standard normal distribution table or calculator:

-0.67 = (x - 1262) / 118

x = -0.67 * 118 + 1262 ≈ 1176

and

0.67 = (x - 1262) / 118

x = 0.67 * 118 + 1262 ≈ 1350

Therefore, the values that represent the interquartile range for the number of chocolate chips in an 18-ounce bag of Chips Ahoy! cookies are approximately 1176 and 1350 chips. The IQR is the range between these values, which is approximately 174 chips.

Step-by-step explanation:

Answer: 84 ft^2  

Step-by-step explanation:

The whole prism can be divided into  5 surfaces.

Two triangles and 3 rectangles.

 Find the area of each of the 5 shapes and add them together.

The triangle has a  base of 4 and a height of  3.

Area of triangle 1:    A= 4*3 * 1/2  

                               A = 6  

Area of triangle 2:     A = 4*3 * 1/2

                                   A = 6

Area of rectangle 1 :   A= 4*6

                                    A = 24

Area of rectangle 2;   A = 3*6  

                                     A = 18

Area of rectangle 3:    A= 5 *6  

                                      A = 30

Now add the areas together

    6 + 6 + 24 + 18 + 30 + =  84 ft^2

Answer:

84

Step-by-step explanation:

To find the local maximum, local minimum, and saddle points of the function f(x, y) = 3 sin(x) sin(y), we need to compute its partial derivatives with respect to x and y, and then find the critical points by setting the derivatives equal to zero.

First, let's find the partial derivatives:

∂f/∂x = 3 cos(x) sin(y)

∂f/∂y = 3 sin(x) cos(y)

Next, we set these derivatives equal to zero and solve for x and y:

For ∂f/∂x = 3 cos(x) sin(y) = 0:

cos(x) = 0   or   sin(y) = 0

If cos(x) = 0, then x = π/2 + nπ, where n is an integer.

If sin(y) = 0, then y = mπ, where m is an integer.

For ∂f/∂y = 3 sin(x) cos(y) = 0:

sin(x) = 0   or   cos(y) = 0

If sin(x) = 0, then x = nπ, where n is an integer.

If cos(y) = 0, then y = π/2 + mπ, where m is an integer.

Now, we can evaluate f(x, y) at the critical points (x, y) we found:

1) (x, y) = (nπ, mπ)

  f(x, y) = 3 sin(nπ) sin(mπ) = 0

  These are saddle points since the value of f is zero at these points.

2) (x, y) = (π/2 + nπ, mπ)

  f(x, y) = 3 sin(π/2 + nπ) sin(mπ) = 3\((-1)^n\) sin(mπ) = 0

  These are also saddle points since the value of f is zero at these points.

Therefore, the function f(x, y) = 3 sin(x) sin(y) has saddle points at all the critical points (x, y) = (nπ, mπ) and (x, y) = (π/2 + nπ, mπ), where n and m are integers. There are no local maximum or local minimum points for this function.

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Answer:

match

Step-by-step explanation:

To determine the better buy among Brand A, Brand B, Brand C, and Brand D, we need to compare their prices per ounce. Therefore, the better buy among the given options is Brand D, as it offers the lowest price per ounce.

To find the price per ounce for each brand, we divide the total price by the number of ounces. The price per ounce for Brand A is $1.25 divided by 10 ounces, which equals $0.125 per ounce. For Brand B, the price per ounce is $1.47 divided by 12 ounces, which equals approximately $0.1225 per ounce. Brand C has a price per ounce of $1.68 divided by 14 ounces, which equals approximately $0.12 per ounce. Finally, Brand D has a price per ounce of $1.84 divided by 16 ounces, which equals approximately $0.115 per ounce.

Comparing the price per ounce, we can see that Brand D offers the lowest price at approximately $0.115 per ounce, followed by Brand C at approximately $0.12 per ounce, Brand B at approximately $0.1225 per ounce, and Brand A at $0.125 per ounce.

Therefore, the better buy among the given options is Brand D, as it offers the lowest price per ounce.

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Answer:

f(x)=8x^3+6

y=8x^3+6 replace y and x

x=8y^3+6

x - 6=8y^3

(x - 6)/8=y^3

Step-by-step explanation:

Answers

x=-2

I think so ............................

Answer:

D

Step-by-step explanation:

9 is 3 squared so 9  to power x-8 can be written as 3 to power 2(x-8)

Since bases are same powers are equal so

2(x-8) = 4x-12

2x -16 =4x-12

-4 =2x

x = -2

Answer:

17 and 20

Step-by-step explanation:

Write down the next two terms of the number pattern 2, 5, 8, 11, 14

Looking at the numbers, we can tell that they are increasing by 3:

2 + 3 = 5

5 + 3 = 8

8 + 3 = 11

11 + 3 = 14

14 + 3 = 17

17 + 3 = 20

Hope this helps!

Answer: 7.6

Step-by-step explanation:

Answer:

A) 29men

B) 91cm

C) 13cm

Step-by-step explanation:

Men with waist of 85cm = 11

A.) Men with waist of more than 85cm = (total number of men - 11) = (40 - 11) = 29men

B.) median waist :

Median = (n) / 2

Where n = number of observations

Median = (40) / 2 = 40/2 = 20th

Taking the intersection of the 20th point on the x-axis,

Median waist = 91cm

C.) Interquartile range(IQR) = (Q3 - Q1)

Q3 = 3/4(n)

Q3 = 0.75 × 40 = 30

Q3 = 97cm

Q1 = 1/4(n)

Q1 = 0.25 × 40 = 10

Q1 = 84cm

IQR = 97 - 84 = 13cm

Answer:

false ................................

Answer:

false

Step-by-step explanation:

The mean is 65 inches and the standard deviation is 3 inches.

Given,

In a group of women, the distribution of heights is roughly normal. Women who are shorter than 62 inches in height make up 16% of the population.

The empirical rule, less than μ - σ of 16% of the data is accurate.

P (x < μ - σ) = 16%

μ - σ = 62 → (I)

Approximately 97.5% of the women are under 71 inches in height,

P (x < μ + 2σ) = 97.5%

μ + 2σ = 71 → (II)

By solving (I) & (II);

μ - σ = 62

μ + 2σ = 71

3σ = 9

σ = 3

From (I);

μ - σ = 62

μ - 3 = 62

μ = 65

Hence, Mean = 65 inches

            Standard deviation = 3 inches

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The slope of the line is 1/2

Answer:

s = 120

r = 33

t = 33

Step-by-step explanation:

You are solving for the variables r & t & s. Note that it is given that the two parallelograms are congruent with each other.

Make sure that they are facing the same way. Note that DC ≅ GH, AD ≅HE, FE ≅ AB

Solve:

DC ≅ GH; 70 = s - 50

Isolate the variable, note the equal sign, what you do to one side, you do to the other. Add 50 to both sides;

70 (+50) = s - 50 (+50)

s = 70 + 50

s = 120

Solve:

AD ≅ HE

2r = 66

Isolate the variable, divide 2 from both sides:

(2r)/2 = (66)/2

r = 66/2

r = 33

Solve:

FE ≅ AB

t + 50 = 83

Isolate the variable, subtract 50 from both sides:

t + 50 (-50) = 83 (-50)

t = 83 - 50

t = 33

Answer:

C

Step-by-step explanation:

The total measurement of a triangle is 180

Triangle 7 has a 40 degree angle and 35 degree angle.

40+35=75

180-75=105

Triangle 8 has the same angle that is 40 degrees and 105. And if you do the same math, you would get 35 for the missing angle of triangle 8

The given statement is false as taking a survey on the heights of all your classmates is an example of quantitative data.

Quantitative data is data that can be measured and expressed as numbers,

such as height, weight, age, etc. Categorical data, on the other hand, consists of distinct categories or groups, such as eye color, gender, favorite color, etc.

Data can be classified into two main types: quantitative data and categorical data.

Quantitative data:

Quantitative data is numerical data that represents measurements or quantities.

It deals with things that can be measured and expressed as numbers.

For example, the heights of people, the weights of objects, the ages of individuals, and the temperatures in degrees are all examples of quantitative data.

Quantitative data can be further divided into two subtypes: discrete and continuous data.

Discrete data: Discrete data consists of whole numbers that cannot be further divided into smaller parts.

For example, the number of students in a class, the number of cars in a parking lot, and the number of books on a shelf are all examples of discrete data.

Continuous data: Continuous data consists of real numbers that can take on any value within a specific range.

For example, the height of a person can be measured as 165.5 cm, 170.2 cm, 178.9 cm, etc. These are all examples of continuous data.

Categorical data:

Categorical data, also known as qualitative data, involves the grouping of items into categories or classes.

It represents characteristics or attributes and is not numerical in nature. Categorical data is further divided into two subtypes: nominal and ordinal data.

Nominal data: Nominal data consists of categories with no intrinsic order or ranking.

For example, eye color ( blue, brown, green) and types of fruits (e.g., apple, banana, orange) are examples of nominal data.

Ordinal data: Ordinal data consists of categories with a meaningful order or ranking.

However, the differences between the categories are not quantifiable.

For instance, educational levels (elementary, middle, high school) and satisfaction levels (very satisfied, satisfied, neutral, dissatisfied, very dissatisfied) are examples of ordinal data.

The height survey of classmates, the data collected would be numerical values representing the heights of each individual.

Since heights are measured and expressed as numbers, this falls under quantitative data, not categorical data.

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The equivalent statement involving an exponent of the given logarithmic statements are :

(a)  a^5 = 4

(b) 2^4 = 16

a.) loga4 = 5
To change this logarithmic statement into an equivalent statement involving an exponent, we use the following format:

base^(exponent) = value.
In this case, the base is "a", the exponent is 5, and the value is 4.

So the equivalent statement can be written as:
a^5 = 4

b.) log216 = 4
Similarly, for this logarithmic statement, the base is 2, the exponent is 4, and the value is 16.

Thus we can use the following format :

base^(exponent) = value.

So the equivalent statement can be written as:
2^4 = 16

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Answer:

the second one

Step-by-step explanation:

Each number moves up the same amount each time, on the table. For both x and y.

Explanation:

We simply list each letter one time. Any duplicates are tossed. If you sorted the letters alphabetically, then you'd get {C, E, I, L, N, O, T}. However, the order doesn't matter with sets.

Note: This listing method is another name for "roster method". Think of how sports teams list their roster, which is basically just a list of the players' names.

Cyber safety is the use of information and communication technologies in a responsible and safe manner. It involves protecting information and keeping it secure, but it also entails handling information responsibly, showing consideration for others online, and following proper internet etiquette.

The Essential Eight are a collection of eight mitigation techniques: application control, application patching, configuring Microsoft Office macro settings, user application hardening, limiting administrative rights, operating system patching, multi-factor authentication, and regular backups.

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Answer:

1. Trinomial 2. Trinomial 3. Monomial 4. Binomial 5. Binomial

Step-by-step explanation:

The numbers with variables attached are called terms, and how many there are defines the equation. It doesn't matter how many variables or exponents are attached, there could be none or 15 each to the power of 6 but it's still one term. "Mono" means one, so there's only one term, "Bi" means two, so there are two terms, and "Tri" means three, so there are three terms. "Poly" applies to everything above three, though unused words for the bigger terms do exist.