Consider the equation x^2-x-20=0
NEED HELP ASAP!!! Will mark brainlyist

Answer:

12/15 in simpliest form is 4/5

Step-by-step explanation:

12 / 3 = 4

15 / 3 = 5

Remember that to get or to make a fraction in simpliest forms you need to divide both numerator and denominator by the same number.

12/15 is equal to 4/5.

Hope this helps!!! ;)

if the number of times you take the test were independent variable of the chance you fail what could that mean the difficulty of the test is consistent and unchanging.

The difficulty of the test is consistent and unchanging, making it so that the chance of failing is solely determined by the individual's performance on the test. Factors such as knowledge of the subject and the ability to focus can play a role in a person's success, but the actual chance of failing is not affected by how many times the test is taken. This means that those who fail the test will have to work harder and prepare better in order to pass it on the next attempt. Taking the test multiple times does not guarantee a higher chance of success, as the difficulty remains the same each time due to independent variable.

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Answer:

10, 4, 5, 7, 4

The correct answer is (a) event. An event is a subset of outcomes from the sample space. It represents a specific outcome or set of outcomes that we are interested in. Events can be simple, consisting of a single outcome, or they can be compound, consisting of multiple outcomes.

For example, consider rolling a fair six-sided die. The sample space is {1, 2, 3, 4, 5, 6}. Let's say we are interested in the event of rolling an even number. The event in this case would be {2, 4, 6}, which is a subset of the sample space.

Events can also be mutually exclusive, meaning they cannot occur at the same time, or they can be independent, meaning the occurrence of one event does not affect the probability of the other event occurring.

In summary, an event is a subset of outcomes from the sample space and represents a specific outcome or set of outcomes that we are interested in. It is an important concept in probability theory.

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The p-value is 2 * 0.0708 = 0.1416.

To find the p-value associated with a z test statistic of 1.47 in a two-tailed test, we need to calculate the probability of observing a test statistic as extreme or more extreme than 1.47 in both tails of the standard normal distribution.

The p-value is the probability of observing a test statistic as extreme or more extreme than the observed value. In a two-tailed test, we need to consider both tails.

To find the p-value, we can use a standard normal distribution table or a statistical calculator. In this case, using a standard normal distribution table, we find that the area to the right of 1.47 is 0.0708.

Since it is a two-tailed test, we need to consider both tails. Therefore, the total p-value is twice the area in one tail.

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Hey there! :)

Answer:

x = 4, y = -18 or (4, -18).

Step-by-step explanation:

Given:

5x + y = 2

2x - 3y = 62

We can use substitution to solve this problem. Rearrange the first equation in terms of y:

5x + y = 2 ---> y = -5x + 2

Substitute in this equation for y into the second equation:

2x - 3(-5x + 2) = 62

Distribute -3:

2x + 15x  - 6 = 62

Combine like terms:

17x - 6 = 62

Add 6 to both sides:

17x = 68

Divide both sides by 17:

x = 4.

Plug in this value for x into an equation to solve for y:

5(4) + y = 2

20 + y = 2

y = -18.

Therefore, the solutions to this system of equations are:

x = 4, y = -18 or (4, -18).

You would expect to find a negative correlation between rainfall and sales of sunscreen, as more rain typically means fewer people buying sunscreen.

Rainfall and sales of sunscreen would have a negative correlation, as more rain typically means fewer people buying sunscreen. This is because when it rains, typically people do not go out in the sun, so they do not need to purchase sunscreen. Additionally, when it rains, the UV rays are blocked, so people do not feel the need to buy sunscreen to protect their skin. Therefore, when it rains, the sales of sunscreen typically decrease. On the other hand, when it is sunny, people are more likely to go outside and purchase sunscreen to protect their skin from the sun’s harmful UV rays. Therefore, the more rain there is, the lower the sales of sunscreen will be and vice versa.

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Answer: 50 Minutes = 309 gal

Step-by-step explanation: Every 10 minutes the amount of water goes up by 18, so after 50 minutes the water would be equivalent to 309 gallons.

Answer:

\(y=1.8x+219\)

309 gallons

Step-by-step explanation:

So to find the linear equation, we can use the data from the table.

First, use the data from the table to find the slope. Pick any two points. I'm going to use (10,237) and (20,255).

Let (10,237) be x₁ and y₁ and let (20,255) be x₂ and y₂.

The formula for slope is given by:

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

Substitute:

\(m=\frac{255-237}{20-10}\)

Simplify:

\(m=18/10=1.8\)

Thus, the slope is 1.8. This means that 1.8 gallons of water flow into the tank every minute.

Now, let's find the slope-intercept. To do this, we can use the point-slope form. The point-slope form is:

\(y-y_1=m(x-x_1)\)

Let's use (10,237) for consistency. Plug in 237 for y₁  and 10 for x₁. Also use 1.8 for m. Thus:

\(y-237=1.8(x-10)\)

Distribute:

\(y-237=1.8x-18\)

Add 237 to both sides:

\(y=1.8x+219\)

What this means is that there is initially 219 gallons of water in the tank already. Every minute, 1.8 gallons is added further.

And that's our linear equation :)

So, to find the amount of gallons after 50 minutes, plug in 50 for x and solve:

\(y=1.8(50)+219\\y=90+219=309\)

After 50 minutes, there will be 309 gallons of water.

If two lines intersect, then the vertical angles formed must be both equal in measure.

The  intersection of a line can be described as when two or more lines cross each other in a plane as a result of this they are been referred to as   intersecting lines.

Therefore, intersecting lines share a common point, hence , If two lines intersect, then the vertical angles formed must be both equal in measure.

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Answer:

the question is incomplete

The dimensions of the box that maximize the volume are x = √700 and h = 100 / √700.

To find the largest possible volume of the box, we need to optimize the dimensions of the box. Let's denote the length of each side of the square base as x and the height of the box as h.

The surface area of the box consists of the area of the square base (x^2) and the four sides of the box (4xh). Since the box has an open top, we do not consider the top surface. The total surface area is given as 2100 square centimeters, so we have:

x^2 + 4xh = 2100

To maximize the volume, we need to express the volume of the box (V) in terms of a single variable. The volume of a rectangular prism is given by V = x^2h.

We can rewrite the equation for the surface area to solve for h:

h = (2100 - x^2) / (4x)

Now we can substitute this expression for h in the volume equation:

V = x^2 * [(2100 - x^2) / (4x)]

Simplifying, we have:

V = (1/4) * (2100x - x^3)

To find the maximum volume, we need to find the critical points of this function. We take the derivative of V with respect to x and set it equal to zero:

dV/dx = 2100/4 - (3/4)x^2 = 0

Solving this equation, we find:

2100/4 = (3/4)x^2

x^2 = 700

x = √700

Substituting this value back into the equation for h, we find:

h = (2100 - 700) / (4 * √700) = 1400 / (4 * √700) = 100 / √700

Therefore, the largest possible volume of the box is:

V = (1/4) * (2100 * √700 - 700 * √700) = 350√700 cubic centimeters.

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Answer:

see explanation

Step-by-step explanation:

x and x - 20 are adjacent angles and are supplementary , thus

x + x - 20 = 180

2x - 20 = 180 ( add 20 to both sides )

2x = 200 ( divide both sides by 2 )

x = 100

x - 20 = 100 - 20 = 80

------------------------------------------------------------

11x - 2 and 75 are corresponding angles and are congruent, thus

11x - 2 = 75 ( add 2 to both sides )

11x = 77 ( divide both sides by 11 )

x = 7

11x - 2 = 11(7) - 2 = 77 - 2 = 75

we have the reduced row-echelon form of the given matrix as shown below:

\($$\begin{bmatrix}y \\ z \\ 1\end{bmatrix} = \begin{bmatrix}-\frac{20}{43} \\ -\frac{2}{3} \\ 0\end{bmatrix}$$\)

Hence, the solution of the system is {y=−20/43,z=−2/3}.

The augmented matrix of the system and its solution

The given system is:

-43 + 32 68 - 3 + 12y 8y Зу 3z =

We'll represent the system in the augmented matrix form:

\($$\begin{bmatrix}-43 & 32 & 68\\-3 & 12 & 8\\0 & 3 & 1\end{bmatrix}\begin{bmatrix}y\\z\\1\end{bmatrix}=\begin{bmatrix}0\\0\\0\end{bmatrix}$$\)

To get the equivalent matrix into a row-echelon form, we should follow these elementary operations:

Replace \($R_2$\)with \($(-1/3)R_2$:$\begin{bmatrix}1 & -\frac{32}{43} & -\frac{68}{43} \\0 & 4 & \frac{8}{3} \\0 & 3 & 1\end{bmatrix}\begin{bmatrix}y \\ z \\ 1\end{bmatrix} = \begin{bmatrix}0 \\ 0 \\ 0\end{bmatrix}$\)

Then, replace\($R_3$\) with \($(-3/4)R_2 + R_3$\) :\($\begin{bmatrix}1 & -\frac{32}{43} & -\frac{68}{43} \\0 & 4 & \frac{8}{3} \\0 & 0 & -\frac{5}{4}\end{bmatrix}\begin{bmatrix}y \\ z \\ 1\end{bmatrix} = \begin{bmatrix}0 \\ 0 \\ 0\end{bmatrix}$\)

The above matrix is now in row-echelon form. We should get the equivalent matrix into reduced row-echelon form through the following operations:

Replace

\($R_2$ with $(1/4)R_2$:$\begin{bmatrix}1 & -\frac{32}{43} & -\frac{68}{43} \\0 & 1 & \frac{2}{3} \\0 & 0 & 1\end{bmatrix}\begin{bmatrix}y \\ z \\ 1\end{bmatrix} = \begin{bmatrix}0 \\ 0 \\ 0\end{bmatrix}$Replace $R_1$ with $\left(\frac{32}{43}\right)R_2 + R_1$:$\begin{bmatrix}1 & 0 & \frac{20}{43} \\0 & 1 & \frac{2}{3} \\0 & 0 & 1\end{bmatrix}\begin{bmatrix}y \\ z \\ 1\end{bmatrix} = \begin{bmatrix}0 \\ 0 \\ 0\end{bmatrix}$\)

Therefore, we have the reduced row-echelon form of the given matrix as shown below:

\($$\begin{bmatrix}y \\ z \\ 1\end{bmatrix} = \begin{bmatrix}-\frac{20}{43} \\ -\frac{2}{3} \\ 0\end{bmatrix}$$\)

Hence, the solution of the system is {y=−20/43,z=−2/3}.

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Answer:

y = 1.5

Step-by-step explanation:

Given x is inversely proportional to \(\sqrt{1+x}\) , then the equation relating them is

y = \(\frac{k}{\sqrt{1+x} }\) ← k is the constant of proportion

To find k use the condition when x = 8, y = 2

2 = \(\frac{k}{\sqrt{1+8} }\) = \(\frac{k}{\sqrt{9} }\) = \(\frac{k}{3}\) ( multiply both sides by 3 )

6 = k

y = \(\frac{6}{\sqrt{1+x} }\) ← equation of proportion

When x = 15 , then

y = \(\frac{6}{\sqrt{1+15} }\) = \(\frac{6}{\sqrt{16} }\) = \(\frac{6}{4}\) = \(\frac{3}{2}\) = 1.5

If the  temperature was measured with a degree of accuracy to the nearest 1°C, and recorded as 45°C then the percentage of error is 1.11%.

To calculate the percentage of error, we need to compare the measured value to the actual or expected value.

if we assume that the recorded value of 45°C is close to the actual value, we can calculate the percentage of error relative to this recorded value.

To calculate the percentage of error, we use the formula:

Percentage of Error = (Error / Recorded Value) × 100%

Since the temperature was measured to the nearest 1°C, the possible error can be up to ±0.5°C.

Therefore, the error would be 0.5°C in this case.

Using the recorded value of 45°C, the percentage of error can be calculated as:

Percentage of Error = (0.5°C / 45°C) × 100%

Percentage of Error = 1.11%

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Answer: B and C

Step-by-step explanation:

U is positive and S is negative so it fits

U is the oppotite which would = -U and the opposite of that is U so that fits

Answer:

B: U= -S

Step-by-step explanation:

The system of equations that can be used to represent the cost of each type of ticket is  2a + 3c = 30.75   and 3a + 2c = 33   .

In the question ,

it is given that ,

a theater sells adult and child tickets for its play .

the cost for 2 adult ticket and 3 child ticket is = $30.75

and the cost for 3 adult tickets and 2 child tickets = $33.00

let the cost of 1 adult ticket = "a"   and

let the cost of 1 child ticket = "c"

So, According to the question ,

the equation to represent both the situation is

2a + 3c = 30.75   and

3a + 2c = 33

Therefore , The system of equations that can be used to represent the cost of each type of ticket is  2a + 3c = 30.75   and 3a + 2c = 33   .

The given question is incomplete , the complete question is

A theater sells adult and child tickets to its plays. 2 adult tickets and 3 child tickets cost $30.75. 3 adult tickets and 2 child tickets cost $33.00. let "a' represent the cost of 1 adult ticket, and "c" represent the cost of 1 child ticket . Write a system of equations can be used to determine the cost of each type of ticket ?

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Answer:

x = 8

Step-by-step explanation:

since the triangle is isosceles then the 2 legs are congruent, that is both 4x - 3

the perimeter is the sum of the 3 sides , that is

x + 4x - 3 + 4x - 3 = 66

9x - 6 = 66 ( add 6 to both sides )

9x = 72 ( divide both sides by 9 )

x = 8

The guarantee would pay Jayden and Sophie $28,125 because the guarantee applies to the current balance.

Jayden and Sophie are considering investing $75,000 in segregated funds that offer a ten-year, 75% guarantee. This means that if they need to use their money before maturity and the fund has lost value, they will receive a guaranteed payout.

In this scenario, the fund has lost 50% of its value. To calculate the guarantee payout, we need to determine 75% of the current balance.

Since the fund has lost 50% of its value, the current balance would be 50% of the original investment, which is $75,000 * 0.50 = $37,500.

Now we calculate 75% of the current balance to determine the guarantee payout: $37,500 * 0.75 = $28,125.

Therefore, the guarantee would pay Jayden and Sophie $28,125 because the guarantee applies to the current balance.

Option (d) is the correct answer: $28,125.

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Answer:

answer is .

aldult = 3

children = 2.5

Answer:

I dont know

Step-by-step explanation:

Answer:

9000 interest

Step-by-step explanation:

that is answer

Mrs. Johnson will have 69/20 yards of material left to use on the smaller dress.

To find out how much material Mrs. Johnson will have left to use on the smaller dress, we need to subtract the amount of material used for the larger dress from the total amount of material she has.

Mrs. Johnson has 7 1/4 yards of material, which can be expressed as a mixed number or an improper fraction. Let's convert it to an improper fraction for easier calculation:

71/4 = (7 * 4 + 1) / 4 = 29/4

The larger dress requires 3 4/5 yards of material. Again, let's convert it to an improper fraction:

34/5 = (3 * 5 + 4) / 5 = 19/5

Now, we subtract the material used for the larger dress from the total material:

29/4 - 19/5

To subtract fractions, we need a common denominator. The least common multiple (LCM) of 4 and 5 is 20. Let's rewrite the fractions with a common denominator of 20:

(29/4) * (5/5) - (19/5) * (4/4) = 145/20 - 76/20 = 69/20

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To find the selling price that will yield the maximum profit, we need to find the vertex of the quadratic function given by the profit equation y = -5x² + 286x - 2275.The x-coordinate of the vertex can be found using the formula:

x = -b/2a

where a = -5 and b = 286.

x = -b/2a

x = -286/(2(-5))

x = 28.6

So, the selling price that will yield the maximum profit is $28.60 (rounded to the nearest cent).

Therefore, the widgets should be sold for $28.60 to maximize the company's profit.

Hope I helped ya...

Answer:

29 cents

Step-by-step explanation:

The amount of profit, y, made by the company selling widgets, is related to the selling price of each widget, x, by the given equation:

\(y=-5x^2+286x-2275\)

The maximum profit is the y-value of the vertex of the given quadratic equation. Therefore, to find the price of the widgets that maximises profit, we need to find the x-value of the vertex.

The formula to find the x-value of the vertex of a quadratic equation in the form y = ax² + bx + c is:

\(\boxed{x_{\sf vertex}=\dfrac{-b}{2a}}\)

For the given equation, a = -5 and b = 286.

Substitute these into the formula:

\(\implies x_{\sf vertex}=\dfrac{-286}{2(-5)}\)

\(\implies x_{\sf vertex}=\dfrac{-286}{-10}\)

\(\implies x_{\sf vertex}=\dfrac{286}{10}\)

\(\implies x_{\sf vertex}=28.6\)

Assuming the value of x is in cents, the widget should be sold for 29 cents (to the nearest cent) to maximise profit.

Note: The question does not stipulate if the value of x is in cents or dollars. If the value of x is in dollars, the price of the widget should be $28.60 to the nearest cent.

Answer:

153.94cm²

Step-by-step explanation:

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\(Area = \pi \times ({radius})^{2} \)

\(Area = \pi \times ({7})^{2} \)

\(Area = \pi \times 49\)

\(Area = 49\pi\)

Done...

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

2/8 or 1/4 simplified

Step-by-step explanation:

If you count how many equal sections there are, you will see there are 8, and 2 or those 8 sections are red so that would easily give you your answer, 2/8.

And to simplify it divide both the top and the bottom by 2 and that gives you 1/4.

Hope the helps! :)

The probability of a red on this spinner would be 1/4.

Used the concept of probability that states,

The term probability refers to the likelihood of an event occurring. Probability means possibility.

Given that,

A spinner is shown in the image.

Since there are a total of 8 parts with different colors.

And, the number of red colors on this spinner is 2.

Hence, the probability of a red on this spinner would be,

P = 2 / 8

P = 1 / 4

Therefore, the probability is 1/4.

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The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°

From the question, we have the following parameters that can be used in our computation:

The transversal lines and the other lines

So, we have

∠1 = 180 - 53

Evaluate

∠1 = 127°

Also, we have

∠5 = 53°

By vertical angles, we have

∠2 = 53°

∠3 = 127°

Next, we have

∠4 = 127 - 90°

∠4 = 37°

Solving further, we have

∠6 = 90°

By corresponding angles, we have

∠7 = 37°

∠9 = 180 - 90 - 53°

∠9 = 37°

∠10 = 90 + 53°

∠10 = 143°

∠8 = 143°

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Answer:pi

Step-by-step explanation:

pi

Answer:that eqauls pie

Step-by-step explanation:

To interpret scores on it, he is presently administering the test to a representative sample of all golfers. Dr. zimmer is clearly in the process of validating their test.

Validation refers to the process of evaluating the accuracy and reliability of a test or measurement instrument. When Dr. Zimmer is administering the test to a representative sample of golfers, he is collecting data that will allow him to determine the validity of the test and its ability to accurately measure golfers' knowledge of the sport's history.

This process is important for ensuring that the test results are meaningful and can be used to make accurate inferences about the population being studied.

By comparing the scores on the test to other measures of golfers' knowledge, such as interviews or other tests, Dr. Zimmer can determine the test's ability to accurately measure the construct it is intended to measure. Therefore, Dr. Zimmer is in the process of validating his test by collecting data and evaluating its accuracy and reliability.

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The number of seating permutations of the 7 people possible will be 720.

A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.

A political discussion has 7 individuals talking, sitting in their own seats in a crescent across a phase.

The number of seating permutations of the 7 people possible will be given as,

⇒ (7 - 1)!

Simplify the expression, then we have

⇒ (7 - 1)!

⇒ 6!

⇒ 6 x 5 x 4 x 3 x 2 x 1

⇒ 720

The number of seating changes of the 7 individuals conceivable will be 720.

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