What is the slope of the line that passes through the points (6, 0) and (21, -20)? Write your answer in
simplest form.​

Answer:

J   The relation represents y as a function of x, because each value of x is associated with a single value of y.

Step-by-step explanation:

I'm sure of this

Answer:

H

Step-by-step explanation:

i think so i’m not one hundred percent sure though ! Tell me if i’m wrong

Answer:

False

Step-by-step explanation:

4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10

Answer:

Step 1: Substitute the value of x into the equation

x= 3-3/2y

-3x+5y=10

Step 2: Solve the equation

-3(3-3/2y)+5y=10

Step 3: Substitute the value of y into the equation

Y=2

Step 4: Solve the equation

X=3-3/2×2 = X=0

Answer: (0,2)

Answer:

a/40=3/10 means you should multiply each side by 40 Divide the denominators by 11 first, then multiply by 7. c/77 = 6/11. => c/7 = 6. => c = 42.

Step-by-step explanation:

Im rlly srry if this isn't helpful, this isn't rlly my strong suit in math

Answer:

45

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

-56/-8 = 7

It would be the same if both numbers were positive, but the answer would be negative if only one number was positive and one was negative, but I'm sure you'd already know that.

Answer:

7

Step-by-step explanation:

First, Identify the rule to divide negative integers.

Negative divide by a negative = positive outcome.

Just like how -*-=+

-56/-8=7

False. The margin of error only accounts for sampling variability (the fact that my sample will be different that many other people's and therefore provide different statistics.

Statistics is a technique for interpreting, analyzing, and summarizing data in mathematics. In light of these characteristics, the various statistical types are divided into: Statistics that are descriptive and inferential. We analyze and understand data based on how it is presented, such as through graphs, bar graphs, or tables.

Inferential statistics, which draws conclusions from information using statistical tests like the student's t-test, is one of the two main statistical methods used in data analysis. Descriptive statistics presents data using indices like mean and median.

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Answer:

cow is 65bpm

horse is 38bpm

Step-by-step explanation:

cow is given

horse divide total beats by total min

Answer:

The midpoint theorem states that “The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side."

Step-by-step explanation:

Complement of set A is the set of all elements in the universal set that are not in the set .

If there is a subset of the universal set (U) called A, then the complement of set A, denoted by the symbol A', is different from the elements of set A and contains the elements of the universal set but not the elements of set A.

In this case, A' = x U: x A.

In other words, the complement of a set A is the difference between the universal set and set A.

For example: U = {1, 2, 3, 5, 7, 9, 15 ,14, 13}, A = {1, 2, 3, 5,7,9}, find the complement of A.

A' = U - A = {1, 2, 3, 5, 7, 9, 15,14,13} - {1, 2, 3, 5,7,9} = {15,14, 13}

A set that contains items from all related sets, without any repetition of elements, is known as a universal set (often symbolised by the letter U). If A and B are two sets, for example, A = 1, 2, 3 and B = 1, a, b, c, then U = 1, 2, 3, a, b, c is the universal set that these two sets belong to.

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Answer:

Step-by-step explanation:

interval in mathematics stands for a set of real numbers,

denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.

thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.

The value of c that makes 3x + c equivalent to 3(x + 7) is 21.

A mathematical equation is a formula that links two statements and uses the equals sign (=) to indicate equality. In algebra, an equation is a statement that demonstrates the equality of two mathematical expressions. The equal sign divides the variables 3x + 5 and 14 in the equation 3x + 5 = 14, for instance.

We are given that 3x + c is equivalent to 3(x + 7).

To find the value of c, we can expand the right side of the equation using the distributive property:

3(x + 7) = 3x + 21

So we have the equation:

3x + c = 3x + 21

Subtracting 3x from both sides, we get:

c = 21

Therefore, the value of c that makes 3x + c equivalent to 3(x + 7) is 21.

Answer: c = 21

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The answers are options a, b, d.

A is Correct                           ✩                        ✧             ☆                    ✮      ✶

B is Correct                                     ✮ ✺     ❉     ❋                ✽           ✾               ※                                                                             ✸                 ✹             ✺           ✷

D is Correct                                ❉                          ✳︎    ✴︎                                               ❉      ❅              ✸                                                   ✭       ✧         ✥          ✢ ✫            ✸                                     ✼                ✴︎                      ❆                   ❅           ✽                 ✮                      ✦                           ✧                       ✤          ☆          

The Sum of the first six terms of the progression is 14706

What is Geometric Progression?

A geometric progression, also known as a geometric sequence, is a non-zero numerical series in which each term after the first is determined by multiplying the preceding one by a fixed, non-zero value known as the common ratio.

Solution:

On carefully observing

We can state that, the Common Ratio is -7

Sum(n) = a(\(r^{n}\) - 1) / r - 1

Sum(6) = -1 (-7^6 - 1) / -7-1

Sum(6) = -1(117648)/-8

Sum(6) = 14706

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a) The upfront fee is $0.

b) It will cost $3.3 to travel 11 miles.

c) The new upfront fee is $1.4.

d) It will cost $5.6 to travel 14 miles.

To solve this problem, we can set up a system of equations based on the given information.

Let's denote the upfront fee as "f" and the cost per mile as "c".

From the first scenario:

We know that the total cost for riding 4 miles is $3.2. This can be expressed as:

f + 4c = 3.2   -- Equation 1

From the second scenario:

We are told that only the upfront fee has changed. The total cost for riding 7 miles is $5.6. This can be expressed as:

f + 7c = 5.6   -- Equation 2

To solve for the upfront fee and cost per mile, we can solve this system of equations.

Solving the system of equations:

Equation 1: f + 4c = 3.2

Equation 2: f + 7c = 5.6

Subtracting Equation 1 from Equation 2 to eliminate "f":

(f + 7c) - (f + 4c) = 5.6 - 3.2

7c - 4c = 2.4

3c = 2.4

c = 0.8

Substituting the value of c into Equation 1 to find "f":

f + 4(0.8) = 3.2

f + 3.2 = 3.2

f = 3.2 - 3.2

f = 0

a) The upfront fee is $0.

b) To travel 11 miles, the cost would be: 0 + 11(0.3) = $3.3

c) The new upfront fee is still unknown.

d) To travel 14 miles, we can use the same cost per mile of 0.3:

New upfront fee (let's call it "f2") + 14(0.3) = Total cost

f2 + 4.2 = Total cost

We are given that the total cost is $5.6, so we can substitute this value:

f2 + 4.2 = 5.6

f2 = 5.6 - 4.2

f2 = 1.4

c) The new upfront fee is $1.4.

d) To travel 14 miles, the cost would be: 1.4 + 14(0.3) = $5.6.

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Answer:

I think its 7

Step-by-step explanation:

The mean is 2 Pounds and the standard deviation is 0.3340 for the population of products produced with this process

Sampling distributions are sets of data that can depict probability for all feasible samples taken from a population. Every one of these distributions is measured for a specific measure. The sampling distribution of means, for instance, calculates the average value for all feasible samples of a certain size.

Given that:

30 samples are used (n).

X stands for the sample mean weights.

Over 2.1 pounds make up 5% of the x values, while under 1.9 pounds makeup 5%.

Let the mean and standard deviation of the goods produced by this process be the population measurements.

According to the central limit theorem, if the sample size is greater than 30, any population distribution would result in a normal sampling distribution of means.

Let x represent the weights' sample mean.

x ∼ N(μX, σX2)

∼ N(μ, σ / √n)

∼N(μ, σ / √30)

5% of the x values are over 2.1 pounds and 5% are under 1.9 pounds, according to the statistics provided.

Therefore, P(x > 2.1) = 0.05

P [x − μ / (σ / √30) > 2.1 − μ / (σ / √30)] = 0.05

P [Z > 2.1 − μ / (σ / √30) = 0.05     --- (1)

P(x < 1.9) = 0.05

P [x − μ / (σ / √30) > 1.9 − μ / (σ / √30)] = 0.05

P [Z < 1.9 − μ / (σ / √30) = 0.05     --- (2)

The Z-scores that fulfill equations (1) and (2) using the common normal table are:

P(Z < −1.64) = 0.05

P(Z > 1.64) = 0.05     (An assortment of standard normative services)

Equations (1) and (2) are used to compare the values:

2.1 − μ / (σ / √30) = 1.64 ⇒ μ = 2.1 − 0.2994σ     -- (3)

1.9 − μ / (σ / √30) = -1.64 ⇒ μ = 1.9 + 0.2994σ     -- (4)

Adding the equations (3) and (4) :

σ = 2 − 1.9 / (0.2994) = 0.3340

In light of this, the population's mean weight is 2 pounds, and its standard deviation is 0.3340 pounds.

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Answer:8 cm 6 cm 8 cm 6 cm The perimeter of the shape is 8 + 6 + 8 + 6 = 28cm.

Step-by-step explanation:

Answer: triangleDEF - 3 units down

triangleGHI - 5 units left

triangleJKL - 4 units left and 5 units down

Step-by-step explanation:

If one is interested in measuring the effects of a moderating variable, one can build it into the design as an independent variable.

To measure the effects of a moderating variable, it can be built into the design as an independent variable.

When studying the relationship between two variables, a moderating variable is a factor that influences the strength or direction of the relationship.

It is also known as an interaction variable. In order to measure the effects of a moderating variable, it is important to incorporate it into the research design.

To build a moderating variable into the design, it is treated as an independent variable.

An independent variable is a variable that is manipulated or controlled by the researcher.

By including the moderating variable as an independent variable, researchers can examine how it interacts with the other variables of interest.

The moderating variable is often operationalized by creating different groups or conditions based on its levels. For example, in a study investigating the impact of teaching method (independent variable) on student performance (dependent variable), the moderating variable could be student motivation.

The researchers can build the moderating variable into the design by dividing participants into high and low motivation groups, and then examining how the teaching method affects their performance differently.

By incorporating the moderating variable as an independent variable, researchers can systematically examine its influence on the relationship between the other variables. This allows for a deeper understanding of how and under what conditions the relationship changes.

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Answer:

Perimeter of rectangle is 16 cm and the area of square is 1 cm^2

Step-by-step explanation:

Here, we want to get the perimeter of rectangle and area of square

From the question, the rectangle has 2 rows of 6 squares each; So we have the length as 2 cm and the width as 6 * 1 cm = 6 cm

So the rectangle is 6 cm by 2 cm

The perimeter of a rectangle is 2(l + b)

so, we have 2(6 + 2) = 2(8) = 16 cm

The area of the square is simply the side length raised to the power of 2

we have this as 1^2 = 1 cm^2

Mckenzie's Work is correct in finding the missing side of the right angled triangle.

Pythagoras theorem is used to show the relationship between the sides of a right angle triangle. It is given by:

Hypotenuse² = Adjacent side² + Opposite side²

From the right angle:

a² + b² = c²

c² = 13² + 5²

c² = 25 + 169

c² = 194

c = 13.93

Mckenzie's Work is correct in finding the missing side of the right angled triangle.

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Answer:

the answer is c

Step-by-step explanation:

i got it right on my test. Hope This helps!

Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

Answer: n= 6  x= 38.7427    f= 4.618802    h= 9.237604

Step-by-step explanation:

for the first one:

there are 2 45 90 triangles. Since the sides of a 45 90 triangle are n for 45 and \(n\sqrt{2}\) for the 90 degrees, that means that if \(6\sqrt{2} = n\sqrt{2}\) then n is 6.

Second one:

You have to split the x into two parts.

Starting on the first part use the 30 60 90 triangle with given with the length for the 60°

60 = \(n\sqrt{3}\)

so \(30=n\sqrt{3}\)

n = 17.320506

so part of x is 17.320506

For the next triangle you would use Tan 35 = \(\frac{15}{y}\)

this would equal 21.422201

adding both values up it would be 38.742707

Third question:

There is two 30 60 90 triangles

The 60° is equal to 8 which means \(8=n\sqrt{3}\)

Simplifying this \(n=4.618802\)

h = 2n.      which is h= 9.237604

f=n             f is 4.618802

Answer:

1) Ratio of angles: 45: 45: 90

  Ratio of sides: 1: 1: √2

Sides are n, n, n√2

  The side opposite to 90° = n√2

           n√2 = 6√2

                \(\boxed{\sf n = 6}\)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

2) Ratio of angles: 30: 60: 90

  Ratio of side: 1: √3: 2

Sides are m, m√3, 2m.

Side opposite to 60° = m√3

     m√3 = 30

           \(m = \dfrac{30}{\sqrt{3}}\\\\\\m = \dfrac{30\sqrt{3}}{3}\\\\m = 10\sqrt{3}\)

Side opposite to 30° = m

          m = 10√3

In ΔABC,

          \(Tan \ 35= \dfrac{opposite \ side \ of \angle C }{adjacent \ side \ of \angle C}\\\\\\~~~~~~0.7 = \dfrac{15}{CB}\\\\\)

       0.7 * CB = 15

                \(CB =\dfrac{15}{0.7}\\\\CB = 21.43\)

x = m + CB

   = 10√3 + 21.43

  = 10*1.732 + 21.43

  = 17.32 + 21.43

  = 38.75

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

3) Ratio of angles: 30: 60: 90

    Ratio of side: 1: √3: 2

Sides are y, y√3, 2y.

Side opposite to 60° = y√3

         \(\sf y\sqrt{3}= 8\\\\ ~~~~~ y = \dfrac{8}{\sqrt{3}}\\\\~~~~~ y =\dfrac{8*\sqrt{3}}{\sqrt{3}*\sqrt{3}}\\\\\\~~~~~ y =\dfrac{8\sqrt{3}}{3}\)

    Side opposite to 30° = y

              \(\sf f = y\\\\ \boxed{f = \dfrac{8\sqrt{3}}{3}}\)

 Side opposite to 90° = 2y

           h = 2y

          \(\sf h =2*\dfrac{8\sqrt{3}}{3}\\\\\\\boxed{h=\dfrac{16\sqrt{3}}{3}}\)    

The individuals in this set are C) Basketball players

This is because it's listing all the player names with their associated stats.

====================================================

The data contains B) 3 variables, 2 of which are quantitative

The variables are

The first two variables are quantitative as they deal with numeric values, and it makes sense to do things like find the average. The last variable is qualitative. It is also an ordinal variable because we can order the labels from freshman to senior.

This data on the statistics from the basketball game contains 3 variables, 2 of which is quantitative.

A quantitative variable is a variable that can be used to show the degree of magnitude. This means that quantitative variables can be represented with numbers.

The quantitative variables are free throw percentage and the number of assists.

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