Write the equation of the line that passes through the points (-1, 2) and (6, 3) in slope-intercept form. Step 1: Choose (X1,Y1). ​

Answer: Choice C) When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.

For example, let's say we had the equation x = x+2. Subtracting x from both sides leads to 0 = 2 which is a false statement. No matter what we replace x with, the equation x = x+2 is always false. That's why we don't have any solutions here.

For an equation like x + 2 = x + 2, subtracting x from both sides leads to 2 = 2 which is always true. A true equation is one where the same number is on both sides. No matter what we replace x with, the equation will be true. Therefore, there are infinitely many solutions.

To tell when an equation in one variable has infinitely many solutions or no solution;

The condition for an equation with no solution warrants that the equation upon evaluation yields a false statement as in the case of 1 = 2. In this case, such an equation has no solution.

The condition for an equation with infinitely many solutions warrants that the equation upon evaluation yields a true statement as in the case of y + 5 = y + 5. In this case, such an equation has infinitely many solution.

Read more;

https://brainly.com/question/11966980

Answer:

AAS

Step-by-step explanation:

both angles show congruence marks and one side shows a congruency mark, so it would be angle angle side, aka AAS. boom roasted.

The equation of the velocity is given by the exponential:

Let us say that the sky driver's velocity will be 47 m/s at t₁. Then, using the expression above:

Solving for t₁:

Step-by-step explanation:

d < 0 : clockwise

d >= 0 : counterclockwise

think back to trigonometry and angles per se.

0 degrees is considered flat right in the middle.

with growing degrees the indicator moves counterclockwise.

90 degrees is then at the top in the middle.

180 degrees is flat on the left in the middle.

270 degrees is at the bottom in the middle.

Answer:

To solve this problem, we need to subtract the cost of the book and the total amount donated to charities from the total amount of cash Katye received for her birthday. Here are the steps:

Add up the value of the gifts Katye received:

Total value of gifts = (value of gift 1) + (value of gift 2) + ... + (value of gift 15)

Add up the value of the cash Katye received:

Total cash = $100

Subtract the cost of the book from the total cash:

Cash remaining after buying the book = $100 - $23

Determine the maximum number of $10 donations that Katye can make:

Maximum number of $10 donations = (cash remaining after buying the book) / $10

Multiply the maximum number of donations by $10 to get the total amount donated:

Total amount donated = (maximum number of $10 donations) x $10

Subtract the cost of the book and the total amount donated from the total cash:

Cash remaining = $100 - $23 - (total amount donated)

The final answer will be the cash remaining after these calculations

ai) y = 3.32673x + 86.32673

ii) r = 0.944502376

b) 179.5 cm

Regression equation model is in the form:

To get the model that shows the relationship between x and y, we will use a regression calculator:

ai) a = slope, b = y-intercept of the function

b) when feet = 28 cm long, height = ?

x = 28, y = ?

To the nearest tenth number, the height 179.5 cm

Answer:

1191 cm²

Step-by-step explanation:

Area of parallelogram = base X vertical height.

Call the vertical line h.

h/ sin 80  =  7/ sin 10

h = (7 sin 80) / sin 10

= 39.7.

Area of parallelogram = 30 X 39.7

= 1191 cm²

The Area of Parallelogram whose side length is 30 cm is 1,190.952 square cm.

Given:

Side length = 30 cm

Using Trigonometry

tan 80 = P / Base

5.6712 = P / 7

P = 39.6984 cm

Using the formula for Area of parallelogram

= Base x height

= 30 x 39.6984

= 1,190.952 square cm.

Therefore, the area is 1,190.952 square cm.

Learn more about Area of Parallelogram here:

https://brainly.com/question/9148769

#SPJ6

Answer:

First you should know every Liter is 1000ml

so now we know we have a 1000ml bottle of milk

now you should divide 1000 by 300

and the answer is 3 glasses and one third glass

Step-by-step explanation:

mili = 10^-3

liter = dm³

deci = 10^-1

dm³ = (10^-1)³ =10^-3 m³

miliLiter = 10^-3 × 10^-3 = 10^-6m³

300 ml = 3×10² × 10^-6 = 3 × 10^-4

10^-3 ÷ (3× 10^-4)= 3.3333

Answer:

Step-by-step explanation:

1L = 1000 ml

1000 : 300 = 3.33

3 glasses (with the remainder of 0.3333 ml)

Answer:

2

Step-by-step explanation:

As it would look better.

1 would make the graph too big

12 would be useless as there are no "answers" more than 12

10 would be useless too as the biggest number used is 10. therefore, 5, 7 would be cramped and too hard to figure out.

Answer:

(a) Probability that a family of a returning college student spend less than $150 on back-to-college electronics is 0.0537.

(b) Probability that a family of a returning college student spend more than $390 on back-to-college electronics is 0.0023.

(c) Probability that a family of a returning college student spend between $120 and $175 on back-to-college electronics is 0.1101.

Step-by-step explanation:

We are given that according to an NRF survey conducted by BIG research, the average family spends about $237 on electronics in back-to-college spending per student.

Suppose back-to-college family spending on electronics is normally distributed with a standard deviation of $54.

Let X = back-to-college family spending on electronics

SO, X ~ Normal(\(\mu=237,\sigma^{2} =54^{2}\))

The z score probability distribution for normal distribution is given by;

                                 Z  =  \(\frac{X-\mu}{\sigma}\)  ~ N(0,1)

where, \(\mu\) = population mean family spending = $237

           \(\sigma\) = standard deviation = $54

(a) Probability that a family of a returning college student spend less than $150 on back-to-college electronics is = P(X < $150)

        P(X < $150) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{150-237}{54}\) ) = P(Z < -1.61) = 1 - P(Z \(\leq\) 1.61)

                                                             = 1 - 0.9463 = 0.0537

The above probability is calculated by looking at the value of x = 1.61 in the z table which has an area of 0.9463.

(b) Probability that a family of a returning college student spend more than $390 on back-to-college electronics is = P(X > $390)

        P(X > $390) = P( \(\frac{X-\mu}{\sigma}\) > \(\frac{390-237}{54}\) ) = P(Z > 2.83) = 1 - P(Z \(\leq\) 2.83)

                                                             = 1 - 0.9977 = 0.0023

The above probability is calculated by looking at the value of x = 2.83 in the z table which has an area of 0.9977.

(c) Probability that a family of a returning college student spend between $120 and $175 on back-to-college electronics is given by = P($120 < X < $175)

     P($120 < X < $175) = P(X < $175) - P(X \(\leq\) $120)

     P(X < $175) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{175-237}{54}\) ) = P(Z < -1.15) = 1 - P(Z \(\leq\) 1.15)

                                                         = 1 - 0.8749 = 0.1251

     P(X < $120) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{120-237}{54}\) ) = P(Z < -2.17) = 1 - P(Z \(\leq\) 2.17)

                                                         = 1 - 0.9850 = 0.015

The above probability is calculated by looking at the value of x = 1.15 and x = 2.17 in the z table which has an area of 0.8749 and 0.9850 respectively.

Therefore, P($120 < X < $175) = 0.1251 - 0.015 = 0.1101

Answer:

First box: -5, 0, 6, 9

Second box: 10, 12.5

Step-by-step explanation:

4x-12≤24

4x≤24+12

4x≤36

x≤36÷4

x≤9

So the first box would have all the solutions less than or equal to 9:

-5, 0, 6, 9

And the second box would have the solutions greater than 9:

10, 12.5

Answer:

The answer is 50km

Step-by-step explanation:

This is because IGH = TUV so IG = TU which is 50 kilometers.

The value of x is 4.

To determine the value of x, we can use the concept of similarity between shapes.

Similar shapes have corresponding sides that are proportional to each other.

Given the dimensions of the first shape as 5, x, and 5, and the dimensions of the second shape as 30, 24, and 30, we can set up the following proportion:

5/x = 30/24

To solve for x, we can cross-multiply:

30 · x = 5 · 24

30x = 120

Dividing both sides of the equation by 30:

x = 120 / 30

x = 4

Therefore, the value of x is 4.

Learn more about concept of similarity click;

https://brainly.com/question/32217666

#SPJ1

The minimum number of aunts that Shamar must have based on the information provided is 10.

It is known that uncles will take a photograph in groups of 10, while aunts will take a photograph in groups of 5. Based on this, the possible number for each are:

Uncles: 10, 20, 30, 40, 50

Aunts: 5, 10, 15, 20, 25

In this case, the minimum number is the LCM or Least Common Multiple and based on the previous list, this number is 10.

Learn more about the Least Common Multiple in https://brainly.com/question/30060162

#SPJ1

Step-by-step explanation:

it is very easy

just take common factor a day remaining factor

so at last common factor multiplied by remaining factor

there are 18 dogs and 3 cats.

Answer:

Moshde must do 59 cuts & styles per month

Step-by-step explanation:

she has to earn $1140+$1188=$2328

since she get $40 for a haircut and style

then she need to \(\frac{2328}{40}=58,2\) roundup it 59

Moshde must do 59 cuts & styles per month

Answer:

y=-16/3x+8

Step-by-step explanation:

16x+3y=24

3y=24-16x

3y=-16x+24

y=-16/3x+24/3

y=-16/3x+8

Answer:

53.1

Step-by-step explanation:

I used my protractor and that is what I got there is no detailed explanation that I came up with

The augmented matrix corresponding to the system of equations in this problem is given as follows:

[-6 -5 -4 7].

[7 -9 -1 -7].

[-9 -3 -6 7].

The first row is constructed according to the coefficients of the first equation, hence it is given as follows:

[-6 -5 -4 7].

The second row is constructed according to the coefficients of the second equation, hence it is given as follows:

[7 -9 -1 -7].

The third row is constructed according to the coefficients of the third equation, hence it is given as follows:

[-9 -3 -6 7].

Hence the matrix is given as follows:

[-6 -5 -4 7].

[7 -9 -1 -7].

[-9 -3 -6 7].

More can be learned about a system of equations at https://brainly.com/question/13729904

#SPJ1

Consequently, there are 5 elements in A B'.

Given the following definitions:

U = {1, 2, 3, 4, 5, 6, 7}A = {1, 2, 4, 5}B = {1, 3, 5, 7}

The complement of a set B is the set of all elements that belong to the universal set U but not to B.

A’ = {x | x ∈ U and x ∉ A} = {3, 6, 7}B’ = {x | x ∈ U and x ∉ B} = {2, 4, 6}

The union of sets A and B is the set of all elements that belong to set A or set B, or both.

A ∪ B = {x | x ∈ A or x ∈ B}

= {1, 2, 3, 4, 5, 7}A ∪ B'

= {x | x ∈ A or x ∈ B’}

= {1, 2, 4, 5, 6}

Therefore, the number of elements in A ∪ B' is 5.

To learn more about : elements

https://brainly.com/question/25916838

#SPJ8

The interval notation for the solution set is (-∞, -4] and the number line is on the image at the end.

Here we want to find the solution set of the inequality below:

x ≤ -4

First let's do the interval notation. This will be the set that contains all the numbers from negative infinity to -4 (with -4 included, so  we need to have a closed set at that end)

This is written as:

(-∞, -4]

The use of the symbols [ ] means that the element belongs to the set.

Now to the number line, we will have a closed circle at x = -4 (because it is a solution) and a line that goes to the left of it. You can see an example in the graph at the end.

Learn more about inequalities at:

https://brainly.com/question/24372553

#SPJ1

Formula for the concentration after n steps is \(C(n) = C(0) * (0.86)^n\) and

after 11 steps, the mixture contains less than 9% vinegar.

What is concentration?

Concentration in science refers to the amount of a particular substance (the solute) that is dissolved in a given amount of a solution. It is typically expressed in units of moles per liter (M or mol/L) or as a percentage or fraction of the total solution.

a. Let C(n) be the concentration of vinegar after n steps. At each step, we remove 0.14 L of the mixture, which contains C(n) liters of vinegar. So we are left with (1 - C(n)) liters of water. We then add back 0.14 L of water, giving us a total volume of 1 liter. Therefore, the concentration after one step is:

\(C(1) = C(0) * \frac{1 - 0.14}{1}\)

where C(0) is the initial concentration of vinegar, which is 1 liter per liter or 100%. After two steps, we repeat the process:

C(2) = C(1) * \(\frac{1 - 0.14}{1}\)

Substituting the formula for C(1), we get:

C(2) = C(0) * \((\frac{1 - 0.14}{1}) * (\frac{1 - 0.14}{1})\)

or, more generally:

\(C(n) = C(0) * (0.86)^n\)

b. We want to find the smallest integer n such that C(n) < 0.09 or 9%. Substituting the formula from part (a), we get:

\(C(0) * (0.86)^n < 0.09\)

Dividing both sides by C(0), we get:

\((0.86)^n < 0.09\)

Taking the natural logarithm of both sides, we get:

n * ln(0.86) < ln(0.09)

Dividing both sides by ln(0.86), we get:

n > ln(0.09) / ln(0.86)

Using a calculator, we get:

n > 10.7

Since n must be an integer, the smallest possible value of n is 11. Therefore, after 11 steps, the mixture contains less than 9% vinegar.

To learn more about concentration visit the link:

https://brainly.com/question/17206790

#SPJ1

When the interpreting the covariance between X and Y , a positive value of covariance indicates that , on average ,if x below its mean then y tends to be below its mean.

Covariance is a statistical measure that indicates how two variables are related to each other. Specifically, covariance measures the degree to which the values of two variables vary together. If two variables have a positive covariance, it means that they tend to increase or decrease together. Conversely, if two variables have a negative covariance, it means that they tend to move in opposite directions.

Mathematically, covariance is calculated as the average of the products of the deviations of each value from their respective means, for two variables. A positive covariance indicates that the two variables tend to be above or below their respective means together, while a negative covariance indicates that one variable tends to be above its mean when the other is below its mean, and vice versa.

Read more on covariance here:https://brainly.com/question/16889222

#SPJ1

1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.

2)The snow days to days ratio is 20:1

3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.

To learn more about ratio refer to:

https://brainly.com/question/12024093

#SPJ1

1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.

2)The snow days to days ratio is 20:1

3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.

Define ratio?

To learn more about ratio refers to:

https://brainly.com/question/12024093

#SPJ1

The ordered pairs are (1,3) , (2, -1) , (3,-5) , (4,-9)

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: The equation as 4y+16x=28 or y+4x=7

putting (1,3) in the equation we get 3+4×1=7

Similarly we can find the ordered pair as (2, -1) , (3,-5) , (4,-9)

Hence, The ordered pairs are (1,3) , (2, -1) , (3,-5) , (4,-9)

Learn more about linear equation here:

https://brainly.com/question/545403

#SPJ1

The values of x and y are given as follows:

The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

The bases for this problem are given as follows:

2 and x.

The altitude is given as follows:

6.

Hence the length x is given as follows:

2x = 6²

2x = 36

x = 18.

Applying the Pythagorean Theorem, the length y is given as follows:

y² = 18² + 6²

y² = 360

\(y = \sqrt{36 \times 10}\)

\(y = 6\sqrt{10}\)

More can be learned about the geometric mean theorem at brainly.com/question/10216660

#SPJ1

Step-by-step explanation:

To create a line plot, first create a number line that includes all the values in the data set. Next, place an X (or dot) above each data value on the number line. If a value occurs more than once in a data set, place an Xs over that number for each time it occurs.