The results after simplifying a linear equation are shown. Which result shows exactly one solution?

The statements that are true about the graph of y < 2x+1 include the following:

C. The area below the line is shaded.

D. A solution to the inequality is (2, 3).

In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Based on the information provided, we have the following equation (inequality);

y < 2x + 1

The slope of the above equation (inequality) is 2 and the y-intercept of the boundary line is (1, 0). Additionally, the area below the dashed line must be shaded because the inequality symbol is less than (<).

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To find the x-intercept, substitute in

0

0

for

y

y

and solve for

x

x

. To find the y-intercept, substitute in

0

0

for

x

x

and solve for

y

y

.

x-intercept(s):

(

22.6

,

0

)

(

22.6

,

0

)

y-intercept(s):

(

0

,

18.8

¯

3

)

Answer:

The answer for this question is 1.23

The quotient of 7 subtracted from a number c and 4 which is 2 , 4 +3 = 7  and c=3. The quotient is the outcome of splitting two numbers.

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You would need approximately 225 mL of the 70% alcohol mixture to obtain the desired 55% solution.

To find out how much of the 70% alcohol mixture you need to obtain a 55% solution, we can set up an equation based on the principle of mixing concentrations.

Let's assume you need "x" mL of the 70% alcohol mixture.

First, we'll determine the amount of alcohol in the 10% alcohol mixture:

Alcohol in 10% mixture = 10% of 75 mL

= (10/100) × 75 mL

= 7.5 mL

Next, we'll determine the total amount of alcohol in the desired 55% solution:

Alcohol in 55% solution = 55% of (75 mL + x mL)

We want the amount of alcohol in the 55% solution to be equal to the sum of the alcohol in the 10% mixture and the alcohol in the x mL of the 70% mixture.

Therefore, we can set up the equation:

Alcohol in 55% solution = Alcohol in 10% mixture + Alcohol in 70% mixture

55% of (75 mL + x mL) = 7.5 mL + 0.7x mL

Now, let's solve for "x" to find the amount of the 70% alcohol mixture needed:

0.55 × (75 mL + x mL) = 7.5 mL + 0.7x mL

41.25 mL + 0.55x mL = 7.5 mL + 0.7x mL

0.55x mL - 0.7x mL = 7.5 mL - 41.25 mL

-0.15x mL = -33.75 mL

x mL = (-33.75 mL) / (-0.15)

x mL ≈ 225 mL

Therefore, you would need approximately 225 mL of the 70% alcohol mixture to obtain the desired 55% solution.

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The probability that more than 2 students will attend is 0.9179.

Part (a) List the values that X may take on.

X may take on the values 0, 1, 2, 3, ..., 13.

Part (b) Give the distribution of X.

The distribution of X can be represented as follows: X-0:0, 1:0.23, 2:0.23, 3:0.23, 4:0.23, 5:0.23, 6:0.23, 7:0.23, 8:0.23, 9:0.23, 10:0.23, 11:0.23, 12:0.23, 13:0.23

Part (c) How many of the 13 students do we expect to attend the festivities? (Round your answer to the nearest whole number.)

We can expect 3 students to attend the festivities.

Part (d) Find the probability that at most 3 students will attend. (Round your answer to four decimal places.)

The probability that at most 3 students will attend is 0.6923.

Part (e) Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)

The probability that more than 2 students will attend is 0.9179.

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29/2 ÷ 5/4

2/29 × 5/4

To get your answer its just a matter of understanding the question, they are asking you to find how many 1¼ gallons of water can fit in a tank that can hold 14½ gallons of water so, to find the answer we need to divide 14½ by 1¼ ( these fractions are mixed numbers so, you need to change them into improper fraction)

Now when dividing the fractions you always invert the fraction on the left side and the division sign turns into a multiplication sign...

29/2÷5/4 = 2/29×5/4.

Answer:

0.0909

Step-by-step explanation:

4 blue + 5 red + 3 black = 12 chips in total.

p=probability

1st draw:

p (blue) = 4/12

there are now 11 chips in the bag, 4-1 =3 are blue.

2nd draw?

p (blue) = 3/11

probability of pulling one blue chip followed by another blue chip is:

(4/12) X (3/11) = (4X3)/12X11)

= (12)/(132)

= 1/11

0.0909

Answer:

the correct answer is: n ∈ R

Answer:

$24

Step-by-step explanation:

we just multiply 160  by the percent

15%=.15

160x0.15=24

The tips is $24

Hopes this helps please mark brainliest

Answer: 24

1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1

13

First, we divide to figure out how much Jane makes an hour

143 ÷ 11 = 13

Second, we multiply multiply by 13 until we get 169

13 × 13 = 169

So Jane will make 169 dollars in 13 hours

Answer:

13 Hours

Step-by-step explanation:

$143 ÷ 11hrs = $13/hr that Jane is paid, so to find how many hours she will need to work to make $169

$169 ÷ $13 = 13 hours

The function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).

To determine the intervals on which the function is increasing or decreasing, we need to find the derivative of the function and analyze its sign.

Let's find the derivative of the function f(x) = x + 10√(9 - x) with respect to x.

f'(x) = 1 + 10 * (1/2) * (9 - x)^(-1/2) * (-1)

= 1 - 5√(9 - x) / √(9 - x)

= 1 - 5 / √(9 - x).

To analyze the sign of the derivative, we need to find the critical points where the derivative is equal to zero or undefined.

Setting f'(x) = 0:

1 - 5 / √(9 - x) = 0

5 / √(9 - x) = 1

(√(9 - x))^2 = 5^2

9 - x = 25

x = 9 - 25

x = -16.

The critical point is x = -16.

We can see that the derivative f'(x) is defined for all x values except x = 9, where the function is not differentiable due to the square root term.

Now, let's analyze the sign of the derivative f'(x) in the intervals (-∞, -16), (-16, 9), and (9, ∞).

For x < -16:

Plugging in a test value, let's say x = -17, into the derivative:

f'(-17) = 1 - 5 / √(9 - (-17))

= 1 - 5 / √(9 + 17)

= 1 - 5 / √26

≈ 1 - 0.97

≈ 0.03.

Since f'(-17) is positive, the function is increasing in the interval (-∞, -16).

For -16 < x < 9:

Plugging in a test value, let's say x = 0, into the derivative:

f'(0) = 1 - 5 / √(9 - 0)

= 1 - 5 / √9

= 1 - 5 / 3

≈ 1 - 1.67

≈ -0.67.

Since f'(0) is negative, the function is decreasing in the interval (-16, 9).

For x > 9:

Plugging in a test value, let's say x = 10, into the derivative:

f'(10) = 1 - 5 / √(9 - 10)

= 1 - 5 / √(-1)

= 1 - 5i,

where i is the imaginary unit.

Since the derivative is not a real number for x > 9, we cannot determine the sign.

Combining the information, we conclude that the function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).

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To find the solution to the system of equations represented by the two lines based on the given tables of ordered pairs, you can follow these steps:

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The basic charge refers to a fixed fee or cost that is charged for a service or utility regardless of the actual usage or consumption.

In the given context, the term "basic charge" refers to a fixed fee or cost that is charged for a particular service or utility regardless of the actual usage or consumption.

It is a standard or minimum charge that is applied uniformly to all customers or users, typically to cover the basic infrastructure or administrative costs associated with providing the service.

The basic charge is often separate from any variable charges based on usage or additional services.

It is a recurring fee that customers are required to pay regardless of their specific usage level.

The purpose of the basic charge is to ensure a baseline revenue for the service provider and to contribute to the maintenance and operational costs of the service infrastructure.

It provides a consistent source of income and helps to distribute the costs among all customers fairly.

The basic charge is usually set at a fixed amount or a predetermined rate and may vary depending on the type of service or utility being provided, such as electricity, water, internet, or telecommunications.

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The complete question may be like: Define the basic unit of currency in the United States and explain its significance in the context

Using proportions, it is found that due to the smaller division of the exchange rate by the cost, the souvenir would be less expensive in Egypt.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The souvenir would be less expensive in the country in which the division of the exchange rate by the cost is smaller.

In Britain, the cost is of 17, with an exchange rate of 0.83, hence the cost in US dollars is:

c = 17/0.83 = $20.48.

In Egypt, the cost is of 288, with an exchange rate of 18, hence the cost in US dollars is:

c = 288/18 = $16.

16 < 20.48, hence the souvenir would be less expensive in Egypt.

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The method that results in a random sample of the population is D) randomly selecting 100 residents paying real estate taxes, using the town's list of taxpayers and a random number generator.

A random sample is one in which each member of the population has an equal chance of being selected for the survey. Option D satisfies this requirement because it uses a random selection process and targets the specific population of interest (residents paying real estate taxes).

Option A does not result in a random sample because it only includes people who happen to enter Town Hall over the course of one month, which may not be representative of the entire population.

Option B only targets parents of soccer players and may not be representative of the entire population.

Option C also does not result in a random sample because it only includes people entering a specific supermarket on the east side of town, which may not be representative of the entire population.

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Answer:

BA + BC = AC

Step-by-step explanation:

B is the midpoint of AC

Then

BA = AC/2 and BC = AC/2

Then

BA + BC = AC/2 + AC/2 = AC

Answer:a

Step-by-step explanation:

Answer:

x=−3

Step-by-step explanation:

The width RQ of the river is approximately 61.98 ft.

To find the width RQ of the river, we can use the properties of perpendicular lines and collinearity.

Given that Karl starts at point R and walks perpendicular along the edge of the river 42 ft to point S, we can draw a line segment RS of length 42 ft.

From point S, Karl walks 28 ft further to point T. We can draw another line segment ST of length 28 ft.

Now, Karl turns 90° from point T and walks until his location (point U), point S, and point Q are collinear. Let's denote the length of this line segment as UQ.

From the given information, we know that TU = 68 ft.

Since U, S, and Q are collinear, we can form a right triangle by connecting UQ and US.

The length of UQ can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, we have:

UQ² = TU² - US²

UQ² = 68² - 28²

UQ² = 4624 - 784

UQ² = 3840

Taking the square root of both sides, we have:

UQ = √3840

UQ ≈ 61.98 ft

Therefore, the width RQ of the river is approximately 61.98 ft.

Note: It's important to keep in mind that this solution assumes the river is a straight line and that Karl's path is perpendicular to the river's edge. In reality, the river's edge may not be perfectly straight, and the path Karl walks may not be exactly perpendicular.

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The expressions are given as follows:

The quadratic function is an even function, meaning that if y² = x, there are two possible outcomes:

y = square root of x or y = - square root of x.

Thus, absolute value is needed to simplify the expression.

For an odd function, such as the cube function, the values of f(x) = f(-x) are different, hence the absolute value is not needed to simplify the expression.

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The correlation coefficient (r) between the number of plays and the number of passes completed by the top 30 college quarterbacks, using Excel, the correlation coefficient is approximately 0.83.

To calculate the correlation coefficient (r) between the number of plays and the number of passes completed by the top 30 college quarterbacks, you can use Excel. Here's a step-by-step guide:

Open Excel and enter the data for the number of plays in one column and the number of passes completed in another column. Ensure that the data is entered consistently, with the same row representing the same quarterback's data in both columns.

Select an empty cell where you want to display the correlation coefficient.

Use the CORREL function in Excel to calculate the correlation coefficient. The syntax for the CORREL function is: =CORREL(array1, array2). In this case, array1 represents the range of cells containing the number of plays, and array2 represents the range of cells containing the number of passes completed. For example, if the number of plays is in column A (A2:A31) and the number of passes completed is in column B (B2:B31), the formula would be: =CORREL(A2:A31, B2:B31).

Press Enter to calculate the correlation coefficient. The result will be displayed in the cell you selected.

Round the correlation coefficient to two decimal places using the ROUND function. The syntax for the ROUND function is: =ROUND(number, num_digits). In this case, number represents the correlation coefficient, and num_digits represents the number of decimal places to round to. For example, if the correlation coefficient is in cell C1, the formula would be: =ROUND(C1, 2).

By following these steps, you can use Excel to calculate the correlation coefficient (r) between the two data sets for the top 30 college quarterbacks.

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The revenue equation of the item is r = 3.56q

The given parameters are:

Expense equation, E = 3.2q + 56000

Selling price = 3.56 per item

This means that the selling price equation is

S = Selling price per item * Number of items

So, we have

S = 3.56 * q

This gives

S = 3.56q

The total selling price of the item is the same as the revenue equation

So, we have

r = 3.56q

Note that the revenue equation is also a linear equation

Where linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

Hence, the revenue equation of the item is r = 3.56q

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Answer:

? = 44

Step-by-step explanation:

Very interesting problem.

If arc YQ = 92

Then

arc WQ = 88 degrees.

Now you are going to have to read the next sentence very carefully; there is no simple way to write it.

If an angle shares the end points of the arc, then any angle on the circumference drawn from the end point of the arc will be 1/2 the degree measurement of the arc. The supplementary part of the arc is excluded.

What that long winded description means is that WYQ = 1/2 the arc

So

WYQ = 1/2 * 88 = 44

So the answer to ? is 44 or B

Answer: 8000

Step-by-step explanation:

The 8 in the number 348,000 is in the thousands place.

So it represents the value of 8,000 .

Answer:

Step-by-step explanation: 3+2=5

5

Answer: x=3  y=3

Elimination method.

eliminating x and solving for y.

-2x +y=-3

-x+2y=3

-2(-x+2y=3)

2x -4y = 6

Multiply the second equation by -2 so the x’s cancel out.

-2x+y=-3

2x-4y=6

-2x and 2x cancels out

Add like terms

y-=-6

4y=-3

solve.

-3y = -9

divide by -3 on both sides and

y=3

Plug in 3 for the place of y in either either equation.

-2x+ 3= -3

solve for x.

-2x+ 3= -3

     -3    -3

-2x=-6

Divide by -2

x=3

Answer:

Step-by-step explanation:

y=mx + b where b= y intercept(when x=0) and m= slope(rise/run)

so there is a slope of 4 and a y intercept of 9

so starting from 9, you go up 4, and to the right 1. and that just repeats till you're satisfied.

\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)

Answer:

A

Step-by-step explanation:

Answer:

240

Step-by-step explanation: