Parth is making plans to build a shed in his backyard. He uses the map shown. Find the m<1​

Given the linear equation:

The single linear equation above contains two variables. Hence, there is no unique solution but infinitely many pairs of solutions. For every value of x, there is a value for y.

Three points that solve the equation would be:

Solution 1

Put x = -6 into the equation

Solution 2

Put x = 0 into the equation

Solution 3

Put x = 12 into the equation

Therefore, three points that solve the linear equation as shown above are:

X varies directly as y , that x = 9 when y = 3,the value of x when y = 12 by  the constant of Variation , value of x is 36.

X  varies directly as y, it means that there is a constant ratio between x and y. We can express this relationship using the formula:

x = ky

where k is the constant of variation.

To find the value of k, we can use the given information that x = 9 when y = 3. Substituting these values into the formula, we have:

9 = k * 3

Solving for k, we divide both sides of the equation by 3:

k = 9/3

k = 3

Now that we have the value of k, we can find x when y = 12 by substituting it into the formula:

x = 3 * 12

x = 36

Therefore, when y = 12, the corresponding value of x is 36.

if x varies directly as y and we are given that x = 9 when y = 3, we can find the value of x when y = 12 by determining the constant of variation (k) and using the formula x = ky. In this case, the constant of variation is 3, so when y = 12, x equals 36.

To know more about  Variation .

https://brainly.com/question/2098610

#SPJ11

Answer:

the weight was approaching the equilibrium position from the positive direction. The weight was on its way down, with the spring stretching

Step-by-step explanation:

This is the word for word answer but be careful and don´t copy it exactly!! paraphrase the answer using your own words

Answer:

x = 29°

y = 45°

Step-by-step explanation:

Answer:

2121 tiene 8 divisores respuesta B

Answer:

-20

Step-by-step explanation:

Simplify the real and imaginary parts of the expression.

Answer:

Part A

There is sufficient statistical evidence to suggest that the difference between the proportion of White students exposed to poverty is likely due to something beside chance

Part B

There is sufficient statistical evidence to suggest that the difference between the proportion of Black students exposed to poverty is likely due to something beside chance

Step-by-step explanation:

Part A

The given data are;

The percent of White students exposed to school poverty in 2,000, \(\hat p_1\) = 30%

The number of White students in the district in 2,000, n₁ = 5184

The percent of White students exposed to school poverty in 2,015, \(\hat p_2\) = 47.8%

The number of White students in the district in 2,015, n₂ = 7,306

The significant level, α = 0.05

The confidence level = 1 - α/2 = 1 - 0.05/2 = 0.975

The critical z at 0.975 confidence level, \(Z_c\) = 1.96

The null hypothesis, H₀; \(\hat p_1\) = \(\hat p_2\)

The null hypothesis, H₀; \(\hat p_1\) ≠ \(\hat p_2\)

The Z test is given as follows;

\(Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}\)

Therefore, we have;

\(Z=\dfrac{0.3 - 0.478}{\sqrt{0.3 \cdot (1-0.3)\left (\dfrac{1}{5184}+\dfrac{1}{7306} \right )}} = -21.3894\)

Given that the actual Z is much larger than the critical Z, we reject the null hypothesis that the difference between the proportion of White students is likely due to something other than chance

Part B, we have;

The percent of black students exposed to school poverty in 2,000, \(\hat p_1\) = 34.5%

The number of black students in the district in 2,000, n₁ = 1035

The percent of black students in the district in 2,015, \(\hat p_2\) = 76.1%

The number of black students in the district in 2,000, n₁ = 2037

\(Z=\dfrac{0.345 - 0.761}{\sqrt{0.345 \cdot (1-0.35)\left (\dfrac{1}{1,035}+\dfrac{1}{2,037} \right )}} =-22,925\)

Similarly, due to the large value of Z compared to \(Z_c\), there must be other variables responsible for the difference in proportion

P(D|FS)=.9529

If F and S are conditionally independent given D and ~D, then

P(FSD)= P(D)P(F|D)P(S|D)

P(FS~D) = P(~D)P(F|~D)P(S|~D)

P(F|~D) = 1 - P(~F|~D)

P(S|~D) = 1 - P(~S|~D)

P(~D) = 1 - P(D)

P(D|FS) = P(FSD)/(P(FSD) + P(FS~D))

P(F|D) = P(S|D) = .9

P(~F|~D) = P(~S|~D) = .9

P(D = .2)

Then, P(FSD) = P(D)P(F|D)P(S|D) = .2*.9*.9 = .162

P(FS~D) = P(~D)P(F|~D)P(S|~D) = (1 - .2)(1 - .9)(1 - .9)= .008

P(D|FS) = P(FSD)/(P(FSD) + P(FS~D)) = .162/(.162+.008) = 162/170=81/85 = .9529

To learn more about conditional independent events follow link : https://brainly.com/question/12783373

The y-intercept and slope of the line described by these points will be y = (1/4)x + 5.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,

\(\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)\)

Taking only two points from the table will be (4, 6) and (12, 8). Then the equation of the line is given as,

(y - 6) = [(8 - 6) / (12 - 4)](x - 4)

y - 6 = 1/4(x - 4)

y - 6 = (1/4) x - 1

y = (1/4)x + 5

The y-intercept and slope of the line described by these points will be y = (1/4)x + 5.

More about the line passing through two points link is given below.

https://brainly.com/question/12740817

#SPJ2

Answer:

y=1/2x-3

Step-by-step explanation:

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

m=(-7-(-1))/(-8-4)

m=(-7+1)/-12

m=-6/-12

m=1/2

y-y1=m(x-x1)

y-(-1)=1/2(x-4)

y+1=1/2x-4/2

y=1/2x-2-1

y=1/2x-3

Answer:

t = 0.86 or t = 1.45

Step-by-step explanation:

Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

Answer:

Step-by-step explanation:

First I just made -2/5 into a decimal because I like to work with decimals better (which equals -.4)

Then I times everything separately in the parenthesis and got -8x+6

Next you move the 6 over to the left side of the equals sign which would make the equation be -6 = -8x

Lastly you divide the -8 from -6 and you get X = 3/4

Yes, Jalen is correct because the rectangle has a perimeter of 20 inches with the smaller side measuring 3 inches and the longer side of the rectangle had to be 7 inches.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

P = 2(3 + 7)

20 = 2(10)

20 = 20 (True).

Read more on perimeter of a rectangle here: brainly.com/question/28695033

#SPJ1

Key features for the graph given in the problem will be-:Vertex (-1, -5), Axis of symmetry=> (x = -1), y-intercept (0,-3), Minimum=> (y=-5), Domain=> (All Real), Range=>( y >= -5)

Refering to the graph given in the problem(refer image attached).The key features of the graph can be given as:

The graph has an upward-opening form, an axis of symmetry at x = -1, a y-intercept at (0, -3), a minimum point at y = -5 (which is also the vertex), and it spans all real numbers on the x-axis (domain) while being larger than or equal to -5 on the y-axis (range).

Learn more about functions at:

brainly.com/question/3951754

#SPJ1

Answer:

Quick internet search:

The distance between the flagpole and the building is the number of feet between them

The building is 162 feet from the flagpole

The given parameters are:

The flagpole's shadow is 50% longer than the flagpole.

So, the length (l) of the flagpole's shadow is:

\(l = 40 * (1 + 50\%)\)

\(l = 60\)

The length of the building's shadow (d) is then calculated as:

\(60 : 40 =d : 324\)

Express as fraction

\(\frac{60}{40}= \frac{d}{324}\)

\(1.50 = \frac{d}{324}\)

Solve for d

\(d = 1.50 * 324\)

\(d = 486\)

The distance (x) of the building from the flagpole is then calculated as:

\(x = 486 - 324\)

\(x = 162\)

Hence, the building is 162 feet from the flagpole

Read more about distance and bearing at:

https://brainly.com/question/11744248

Answer:

\(\sf 2\sqrt{17}\)

Step-by-step explanation:

To find the distance of a line using distance formula:

The line from point X intersect the line p at (0 , -3).

          ( -2 , 5) ⇒  x₁  = -2 & y₁ = 5

          (0 , -3)  ⇒ x₂ = 0    & y₂ = -3

    \(\boxed{\bf Distance = \sqrt{(x_1-x_2)^2 + (y_1-y_2)^2}}\)

                       \(\sf = \sqrt{-2-0)^2+(5-[-3])^2}\\\\=\sqrt{(-2-0)^2 + (5+3)^2}\\\\=\sqrt{(-2)^2+(8)^2}\\\\=\sqrt{4+64}\\\\=\sqrt{68}\\\\=\sqrt{2*2*17}\\\\=2\sqrt{17}\)

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

Find out more on fractions here: https://brainly.com/question/78672

#SPJ1

Answer:

∆OPQ is not similar to ∆RST

Step-by-step explanation:

It is shown that ∆OPQ is an equilateral triangle but ∆RST is a right-angled triangle so they have different angles and sides

Answer:

not similar because ∆RST has a 90° angle and ∆OPQ does not have a 90° angle

Answer:

$4.25

Step-by-step explanation:

Subtract the cost of the spool of thread from the total price:

22.75 - 1.50

= 21.25

Then, divide this by 5 to find the cost of fabric per yard:

= 4.25

So, the cost of the fabric per yard is $4.25

Answer:

Step-by-step

$22.75-$1.50 to get the 5 yards cost

=$21.25

21.25 / 5 yards to get per yard cost

=$4.25 / yard

Answer:

4860 degrees

Step-by-step explanation:

Triangle=180

Square=360.

The pattern: increase by 180.

Triangle=3 sides.

29-3 is 26.

26*180+180

4860.

Hope this helps :D

The cost per ounce of the premium walnut is $0. 23

To determine the value of the cost, we need to note that proportion is simply described as the comparison of numbers such  that they are made equal to another.

From the information given, we have that;

54 ounces of premium walnuts costs $12.95

This is represented as;

54 ounces = $12. 95

Then 1 = x

cross multiply the values, we get;

x = $12.95/54

Divide the values, we get;

x = $0. 23

Hence, the value is $0. 23 per premium walnut

Learn more about proportion at: https://brainly.com/question/1781657

#SPJ1

Answer:

eight two point baskets

Step-by-step explanation:

3 points = 9 points

1 points = 5 points

9+5= 14

30-14= 16

= 16/2

=8

Answer:

.19

Step-by-step explanation:

Answer:

107º

Step-by-step explanation:

Okay, if 135 is adjacent to an ungiven side, then to find that, you subtract 135 from 180.

180 - 135 = 45

So the other side is 45. Now we find the last unknown given side, and since we know 180 degrees is the sum of the degrees in a triangle, we do:

28 + 45 + x = 180

73 + x = 180

Subtract 73 on both sides you get,

x = 107.

Measure DEF is 107.

Answer:

7/2 is the slope and 5 is the y-intercept

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

7x-2y=-10

subtract 7x on both sides

-2y=-7x-10

divide by -2 on both sides

y=(7/2)x+5

7/2 is the slope and 5 is the y-intercept.