100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answer:

if y=60 then x=5

Step-by-step explanation:

im in college Algebra if you need help just ask

Answer:

Step-by-step explanation:

The student has a valid point but here's what I would tell him or her:

The larger the absolute value of r, the greater the probability that an increase in the value of the explanatory variable will cause an increase in the value of the response variable.

"r" here represents the correlation coefficient (Pearson's correlation coefficient) which shows the direction and strength of relationship between two variables.

The explanatory variable is the independent variable. It is the variable that places an effect on the other.

The response variable is the dependent variable. It is the variable which is observed for an effect.

When r is positive, it means that both variables move (increase or decrease) in the same direction. When the absolute value of r is large, it shows a great magnitude of change.

The r value is the correlation coefficient which gives the strength and direction of the relationship between two variables. Hence, the absolute value of r could tell the probability of change in the dependent variable due to the response variable.

Since, r values can be either positive or negative, the absolute value of r should be considered for negative association.

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Answer:

192 would be your answer.

Answer:x=−2

Step-by-step explanation:

The number of small rooms reserved is 4.

The number of large rooms reserved is 8.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Small rooms are denoted as S.

Large rooms are denoted as L.

Now,

We will make two equations.
L = 2S _____(1)

8L + 6S = 88 ______(2)

Putting (1) in (2) we get,

8L + 6S = 88

8 x (2S) + 6S = 88

16S + 6S = 88

22S = 88

S = 88/22

S = 8/2

S = 4

Now,

Putting S = 4 in (1) we get,

L = 2 x 4

L = 8

Thus,

The number of small rooms and large rooms reserved is 4 and 8.

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The data form the stem - and - leaf plot is -

1423, 15122, 16, 172, 180778

A Stem and Leaf Plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).

Given is a stem and leaf plot as -

14 I 23

15 I 122

16 I

17 I 2

18 I 0778

The given plot is -

14 I 23

15 I 122

16 I

17 I 2

18 I 0778

So, we can write the data as-

1423, 15122, 16, 172, 180778

Therefore, the data form the stem - and - leaf plot is -

1423, 15122, 16, 172, 180778

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Answer:

49

Step-by-step explanation: no idea i just evaluated like that

Answer:

49

Step-by-step explanation:

Alrighty, PEMDAS, lets get started:

9 + 3(10 ÷ 2) + 5²

So we start with the parenthesis:

10 ÷ 2 = 5

Now we do the exponent:

5² = 25

So we now have:

9 + 3 x 5 + 25

we do multiplication first:

3 x 5 = 15

so we have:

9 + 15 + 25 = 49

So 9 + 3(10 ÷ 2) + 5² = 49

hope this helps:)

The table should be completed as follows;

Year          Starting Balance             Interest           Ending Balance

1                     $8500                          $510                 $9010

2                    $9010                           $510                $9520

3                    $9520                          $510                $10030

4                    $10030                          $510               $10540

5                    $10540                          $510                $11050

In Mathematics, simple interest can be calculated by using this formula:

S.I = PRT or S.I = A - P

Where:

By substituting the given parameters into the simple interest formula, we have;

S.I = 8500 × 6/100 × 1

S.I = 8500 × 0.06 × 1

S.I = $510.

Note: The simple interest rate of $510 would be constant.

After 1 year, we have:

Ending balance, A = S.I + P

Ending balance, A = $510 + $8500

Ending balance, A = $9010.

After 2 years, we have:

Ending balance, A = $510 + $9010

Ending balance, A = $9520.

After 3 years, we have:

Ending balance, A = $510 + $9520

Ending balance, A = $10030.

After 4 years, we have:

Ending balance, A = $510 + $10030

Ending balance, A = $10540.

Next, we would calculate the ending balance after 5 years as follows;

Ending balance, A = $510 + $10540

Ending balance, A = $11050.

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Answer:

5

Step-by-step explanation:

117/24 = 4.875

round up to 5 to get the total number of bags

Answer:

(-5,2); opens up

Step-by-step explanation:

In the equation y = a(x − h)² + k, if a is positive it opens up

The vertex is: (h, k)

Since in the equation h is multiplied by a negative one, you have to flip the sign of h in the equation.

(x-(-5)) = (x+5)

Answer:

5/8 of the pizza was eaten

Step-by-step explanation:

1/4=2/8

2/8+3/8=5/8

Answer:

5/8

Step-by-step explanation:

3/8 + 1/4

1/4 x 2 = 2/8

3/8 + 2/8 = 5/8

Answer:

The numbers are \(-21\) and \(17\).

Step-by-step explanation:

If we let the numbers be \(x\) and \(y\), we can write the following system of equations to solve for them:

\(x+y=-4\) (since the sum - which indicates addition - of the two numbers is \(-4\))

\(x-y=-38\) (since the difference - which indicates subtraction - of the two numbers is \(-38\))

Solving for \(x\) and \(y\), we get:

\(x+y=-4\\x-y=-38\)

\(2x=-42\) (Add the two equations together)

\(x=-21\) (Divide both sides of the equation by \(2\) to get rid of \(x\)'s coefficient and simplify)

\(-21+y=-4\) (Substitute \(x=-21\) into one of the equations, I chose the first one but it doesn't matter which one you choose)

\(y=17\) (Add \(21\) to both sides of the equation to isolate \(y\) and simplify)

Therefore, the numbers are \(-21\) and \(17\). Hope this helps!

Answer:

12/5

Step-by-step explanation:

me smart

Answer:

1 17/25

that's the answer if it's supposed to be simplified

Answer:

a. cosθ = ¹/₂[e^jθ + e^(-jθ)] b. sinθ = ¹/₂[e^jθ - e^(-jθ)]

Step-by-step explanation:

a.We know that

e^jθ = cosθ + jsinθ and

e^(-jθ) = cosθ - jsinθ

Adding both equations, we have

e^jθ = cosθ + jsinθ

+

e^(-jθ) = cosθ - jsinθ

e^jθ + e^(-jθ) = cosθ + cosθ + jsinθ - jsinθ

Simplifying, we have

e^jθ + e^(-jθ) = 2cosθ

dividing through by 2 we have

cosθ = ¹/₂[e^jθ + e^(-jθ)]

b. We know that

e^jθ = cosθ + jsinθ and

e^(-jθ) = cosθ - jsinθ

Subtracting both equations, we have

e^jθ = cosθ + jsinθ

-

e^(-jθ) = cosθ - jsinθ

e^jθ + e^(-jθ) = cosθ - cosθ + jsinθ - (-jsinθ)

Simplifying, we have

e^jθ - e^(-jθ) = 2jsinθ

dividing through by 2 we have

sinθ = ¹/₂[e^jθ - e^(-jθ)]

The rate of change of positive at the increasing interval and it is negative at the decreasing interval

The graph has two x-intercepts at x = 1.5 and x = 8.

So, the equation can be represented as:

y = a(x - 1.5)(x - 8)

The graph passes through the point (0, -1.2).

So, we have:

a(0 - 1.5)(0 - 8) = -1.2

Solve for a

a= -0.1

Substitute a= -0.1 in y = a(x - 1.5)(x - 8)

y = -0.1(x - 1.5)(x - 8)

Hence, the equation of the parabola is y = -0.1(x - 1.5)(x - 8)

This is the maximum value of the graph.

The graph has its maximum at (4.75,1.056)

Hence, the highest slide is 1.056

From the given graph, the tide increases from (0,-1.2) to (4.75,1.056)

The average rate of change is;

\(m = \frac{y_2 - y_1}{x_2 -x_1}\)

So, we have:

\(m = \frac{1.056 + 1.2}{4.75 -0}\)

Evaluate

m = 0.475

Hence, the average rate of change when the tide is increasing is 0.475

From the given graph, the tide increases from (4.75,1.056) to (8,0)

The average rate of change is;

\(m = \frac{y_2 - y_1}{x_2 -x_1}\)

So, we have:

\(m = \frac{1.056 -0}{4.75 -8}\)

Evaluate

m = -0.325

Hence, the average rate of change when the tide is decreasing is -0.325

When the tide increases, the rate of change of positive (i.e. 0.475) and it is negative when the tide is decreasing

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Answer: attribute of circle A

Step-by-step explanation: took it ur good

Answer:

in the 8 is ADB, in the 7 I'm not sure about you need to do sorry, or maybe you need to classify what triangle it is think is a scalene triangle because has a different measurements

Answer:

20/ 11 and if u want it in decimal it's 1.818182

Answer:

v =5÷11×4

v=20÷11=

Step-by-step explanation:

1.82 is your answer may be it is wrong

Answer:

Ed had 5 books and each book had 100 pages and it takes him 50 mins to read each book how many books can he read in a day?

sorry if it's not good I try.

Step-by-step explanation:

Answer:

The work-done required to pull the bucket to the top of the well = 2340 ft-lb

Step-by-step explanation:

From the information given:

The water is pulled at a rate of 2.5 ft/s

Also, water leaks out of a hole in the bucket at a rate of 0.25 lb/s.

Thus, the rate of water leaking out of the bucket is:

\(\dfrac{0.25 \ lb/s}{2.5 \ ft/s}\)

= 0.1 lb/ft

The work done needed to pull the bucket to the top of the well can be expressed by using the integral:

\(W = \int ^b_a F(x) \ dx\)

where;

F(x) is read as the function of x = total weight of the bucket and water

i.e

F(x) = 4 + ( 38 - 0.1x)

F(x) = 42 - 0.1x

and a which is inital height = 0 and b which is th final height = 60

Thus: we can compute the workdone as follows:

\(W = \int^b_a F(x) \ dx\)

\(W = \int^{60}_0 (42-0.1x) \ dx\)

\(W =\int ^{60}_{0} \begin {pmatrix} \dfrac{42 x}{1}- \dfrac{0.1x^2}{2} \end {pmatrix} \ dx\)

\(W =\ \begin {pmatrix} 42x- 0.05x^2\end {pmatrix} |^{60}_{0}\)

\(W =\ \begin {pmatrix} 42(60)- 0.05(60)^2\end {pmatrix}-0\)

W = 2520 - 180

W = 2340 ft-lb

The number of hours it will take Santa to visit the whole children is = 10,000hours

The total number of children in UK is = 12million

That is = 12,000,000.

It took Santa 3 seconds to visit each child. That is,

1 child = 3 seconds

Therefore 12,000,000 children = x seconds

x = 12,000,000 × 3 seconds

x = 36,000,000 seconds.

But 3,600 seconds = 1 hour

36,000,000 seconds = x

x = 36,000,000/3,600

x = 10,000 hours.

Therefore, the number of hours it will take Santa to visit the whole children is = 10,000 hours.

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The intersection points are: (0, -3) and (10, 2)

The bounded area is -20.83 unit²

(a) The  intersection points of the line and curve are the points where the line and curve meet. Thus, the intersection points are:

(0, -3) and (10, 2)

(b) The integral terms of y which gives the area bound are:

a = -3, b = 2 (These are the y values of the intersection points)

Since we have x = y² + 3y and x = 2y + 6, we can say:

y² + 3y = 2y + 6

y² + 3y - 2y - 6 = 0

y² + y - 6 = 0

Thus, h(y) =

Using a = -3 and b = 2  with h(y) = y² + y - 6, we have the bounded area as:

\(Area = \int\limits^b_a {y} \, dy\)

\(Area = \int\limits^{2}_{-3} {(y^{2} + y - 6}) \, dy\)

Integrating the area:

Area = [y³/3 + y²/2 - 6y + C]²₋₃

Area = [2³/3 + 2²/2 - 6(2)] - [(-3)³/3 + (-3)²/2 - 6(-3)]

Area = [8/3 + 2 - 12] - [-9 + 4.5 + 18]  

Area = [-22/3] - [27/2]

Area = -125/6

Area = -20.83 unit²

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Step-by-step explanation:

y=5

hence the gradient of the equation is 0

so gradient of perpendicular line

m1m2=-1

0=-1 hence the question is not correct

Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

To determine the average speed at which Sphenathi and the other matriculants must travel to reach Uptington by 09:45, we need to calculate the time available for the journey and the distance between the two locations.

The time available is from 07:25 to 09:45, which is a total of 2 hours and 20 minutes. We need to convert this time to hours by dividing by 60:

2 hours + 20 minutes / 60 = 2.33 hours

Now, let's calculate the distance between Bloemfontein and Uptington. Suppose the distance is 'd' kilometers.

We can use the formula for average speed: average speed = distance / time

In this case, the average speed should be such that the distance divided by the time is equal to the average speed.

d / 2.33 = average speed

Now, let's assume that Sphenathi and the other matriculants must travel a distance of 250 kilometers to reach Uptington. We'll substitute this value into the equation:

250 / 2.33 = average speed

To find the average speed to the nearest km/h, we'll calculate the result:

average speed ≈ 107.3 km/h

Therefore, Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

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The cost of gas is proportional to the volume of gas because a constant rate of $3.15 to 1 gallon of gas.

From the given table;

The volume of the first gas Layla bought = 3 gallons.

The cost of the 3 gallons = 9.45

Therefore the cost of 1 gallon = ?

That is:

3 gallons = $9.45

1 gallon = X

Make X the subject of formula:

X = 9.45/3 = $3.15

Therefore, the cost of 11 gallons of gas would be = 11×3.15 = $34.65. This is because the cost of 1 gallon would be = $3.15.

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Step-by-step explanation:

Flip f(x) about the x-axis by multiplying it by -1

  - f(x)

  the squish it skinnier by multiplying it by 4

g(x) = - 4 f(x)   = -4 x^2

Answer:

a.

Step-by-step explanation:

The p-value is a measurement of the likelihood that a difference observed is due to a random chance or a sampling error. In an alternative way, the p-value of a study represents the probability or area under distribution for obtaining more radical outcomes whenever the null hypothesis is true.

Any observable change is deemed to be addressed by sampling variability if the P-value is greater than the selected alpha level. A statistical test will nearly always show a substantial difference with a suitably big sample unless there is no impact at all when the effect size is exactly zero.

As a result, simply reporting the P-value alone for a study is insufficient to fully validate the results and findings of scientific publications.

The volume of the given cylinder in terms of pi as required to be determined in the task content is; 5000 pi.

It follows from the task content that the volume of the cylinder which is as represented is to be determined.

Since the volume of a cylinder is;

V = 2πr²h

where r = 10 and h = 25.

V = 2π × 10² × 25.

V = 5000π.

Ultimately, the volume of the given cylinder as required to be determined is; V = 5000 pi.

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The required vertex of the curve in the graph is (-3, 8).

A graph of a parabola is shown, and from the graph vertex of the curve is to be determined.

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate the y is called ordinate.

here,
The peak of the graph is at the location of the ordered pair (-3, 8),
So, the vertex of the graph is also (-3, 8).

Thus, the required vertex of the curve in the graph is (-3, 8).

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