Consider the diagram and angle measures shown below.
m1 = (3x +25)
m2 = (7x+5)
m3=(-2x + 70)
4
3
2
What is the value of m
3?

The correct statement is: On a coordinate plane, an absolute value graph has a vertex at (0, 1).

The function p(x) = |x - 1| represents an absolute value function. The vertex of an absolute value function in the form f(x) = |x - h| + k is given by the point (h, k). In this case, the function p(x) = |x - 1| has a vertex at (1, 0).

Therefore, none of the provided options accurately represents the vertex of the function p(x) = |x - 1|. The correct vertex for this function is (1, 0), which means the vertex is at x = 1 and y = 0 on the coordinate plane. It is important to note that the vertex is located at (h, k) where h represents the x-coordinate and k represents the y-coordinate.

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Answer:

c

Step-by-step explanation:

assume base 10

-logy = x

\( \frac{1}{ log(y) } = x\)

log base x y = 5 turns into the format x^ 5 = y

implement that to get c

Answer:

6.5

Step-by-step explanation:

19.5 divided by 3 is 6.5

if you want to double check, you can multiply 3 by 6.5 and find it is 19.5

The solution is, the percent of error, rounded to the nearest percent is 25%.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

given that,

While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

now, we have to find the percent of error, rounded to the nearest percent.

so, we get,

Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

so, error = 750 - 600

              = 150

so, we get,

the percent of error = 150 * 100 / 600

                                 = 25%

Hence, The solution is, the percent of error, rounded to the nearest percent is 25%.

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Step-by-step explanation:

Since we have three sides and trying to find an angle, use Law of Cosines

\(c = \sqrt{ {a}^{2} + {b}^{2} - 2ab \times \cos(d) } \)

where c is

Solving for the angle d.

\( \cos {}^{ -1 } (( \frac{ {c}^{2} - {b}^{2} - {a}^{2} }{ - 2ab} ) = d\)

where d is in degrees

The angle d is the opposite of the side c.

It does not matter what a and b is(they can be either 4 or 5)

let

c=7

a=4

b=5

\( \cos {}^{ - 1} ( \frac{ - 1}{5} ) = d\)

This angle must be within 0 and 180

We get

\(d = 101.54\)

Answer:

HCF = 12

Step-by-step explanation:

Expressing the numbers as products of their prime factors

84 = 2² × 3 × 7

120 = 2³ × 3 × 5

Identify the prime factors that both numbers have in common and multiply them.

Both have 2² and 3 in common, thus

HCF = 2² × 3 = 4 × 3 = 12

Answer:

I don't know this answer

Answer:

Ya no hay

Step-by-step explanation:

Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:

10x + 5y ≥ 500 (minimum 500 units of vitamins)

5x + 10y ≥ 600 (minimum 600 units of minerals)

15x + 15y ≥ 1200 (minimum 1200 calories)

We want to minimize the cost, which is given by:

0.5x + 0.4y

This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:

10x + 5y = 500

5x + 10y = 600

15x + 15y = 1200

Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.

Next, we can calculate the value of the cost function at each corner point of the feasible region:

Corner point A: (20, 40) -> Cost = 20

Corner point B: (40, 25) -> Cost = 25

Corner point C: (60, 0) -> Cost = 30

Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.

Answer:

this is a wild guess but  10.

Step-by-step explanation:

Not sure if you're allowed to do this but i added the x's

7x+3x= 10x

   10x+20.

I then subtracted 10 by both sides. That leaves me with 10.

  x =10

 this is a guess i apologize if it's wrong

Equation: \(y=k\sqrt{z}\).

Value of the constant of proportionality (k): 6.

So if y varies directly as the square root of z, there's a constant coefficient (k) multiplying the square root of z. Why? Because taking the square root of z will reduce it's value, then a number (k) must be multiplying it to make it match the value of y.

So:

\(y=k\sqrt{z}\)

\(y = 36;\\ \\z = 36;\\ \\(36)=k\sqrt{(36)}\\ \\\)

\(\frac{36}{\sqrt{(36)}} =\frac{k\sqrt{(36)}\\ \\}{\sqrt{(36)}} \\ \\\frac{36}{6} =k\\ \\k=6\)

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\(\blue{\huge {\mathrm{SOLVING \; EQUATIONS}}}\)

\({===========================================}\)

\({\underline{\huge \mathbb{Q} {\large \mathrm {UESTION : }}}}\)

\({===========================================}\)

\( {\underline{\huge \mathbb{A} {\large \mathrm {NSWER : }}}} \)

\(\qquad\qquad\begin{aligned}\bold{y = k\sqrt{z}}\\\\\bold{\:k = 6\:\:\:}\end{aligned}\)

*Please read and understand my solution. Don't just rely on my direct answer*

\({===========================================}\)

\( {\underline{\huge \mathbb{S} {\large \mathrm {OLUTION : }}}} \)

From the given information, we are given that:

Since y varies directly as the square root of z, we can write this as an equation:

where:

Substitute the given values into the equation and solve for k:

\(\qquad\qquad\begin{aligned}\sf \red{y} &=\sf k\sqrt{\blue{z}}\\\sf \red{36} &=\sf k\sqrt{\blue{36}}\\\sf \dfrac{\red{36}}{\sqrt{\blue{36}}} &=\sf \dfrac{k \cancel{\sqrt{\blue{36}}}}{ \cancel{\sqrt{\blue{36}}}}\\\sf \dfrac{\red{36}}{\blue{6}}&=\sf k\\\sf 6& =\sf k\\\sf \bold{\:k}& = \bold{6}\:\end{aligned}\)

\({===========================================}\)

Equations are mathematical statements that show that two quantities are equal. They typically contain an equal sign (=) and one or more variables. Equations are used to express relationships between quantities and to solve problems in various fields of science, engineering, and mathematics.

Example equations include:

To solve an equation, we want to determine the value of the variable(s) that make the equation true.

There are different techniques to solve equations, but some common steps include:

1. Simplify both sides of the equation by combining like terms and using the order of operations if necessary.

2. Isolate the variable on one side of the equation by undoing any operations that were performed on it.

3. Check the solution by plugging it back into the original equation to see if it makes the equation true.

\({===========================================}\)

\(- \large\sf\copyright \: \large\tt{AriesLaveau}\large\qquad\qquad\qquad\tt 04/01/2023\)

Answer: 85% or 17/20

Step-by-step explanation: Ok, so 17 being what percent of 20 is 17/20. Then, simply divide from there to get 0.85, also known as 85%.

The total cost of the computer is 719.95 if Originally the price is 849 the store offers a 20% discount and a 6% sales tax

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To find the purchase total, multiply the price by the percent paid and add the percent of tax.

The store offers a 20% discount

This means you pay 80% of the price. So the discounted price is 0.80(849) = 679.2.

Find the tax to be paid by multiplying 0.06(679.2) = 40.752.

Add the tax for the final total.

679.2 + 40.752 = 719.95

Hence, The total cost of the computer is 719.95 if Originally the price is 849 the store offers a 20% discount and a 6% sales tax

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Answer:

A

Step-by-step explanation:

Table 1 shows the linear relationship between the two variables.

A linear relationship is one in which two variables have a direct connection, which means if the value of x is changed, y must also change in the same proportion.

According to the given question.

We have some tables. Which represents the relationship between the two variables x and y.

Since,

If x is linearly related to y then the slope will same for every points.

For the

Table 1.

For the points (9, 13) and (14, 16)

\(slope = \frac{16-13}{14-9}\)

\(\implies slope = \frac{3}{5}\)

For the points (14, 16) and (19, 19)

\(slope = \frac{19-16}{19-14} =\frac{3}{5}\)

So we can see that the slope is same for each pair of points.

Hence, table 1 shows the linear relationship between the two variables.

Table 2:

For the points (-4, 2) and (2, 10)

\(slope = \frac{10-2}{2+4} =\frac{8}{6} =\frac{4}{3}\)

For the points (8, 50) and (2, 10)

\(slope = \frac{10-50}{2-8} =\frac{-40}{-6} =\frac{20}{3}\)

Since, the slope are not same. Therefore, table 2 doesn't shows the linear relationship between the two variables.

For table 3

Since the slope is changing therefore, table 3 doesn't shows the linear relationship between the two variables.

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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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Answer:

câu này là 500 nhen

Answer:

c) 4x = 20

x = 5

Step-by-step explanation:

Let the number of people in a van = x

Number of people in 4 vans = 4 *x = 4x

4x = 20

Divide both sides by 4

x = 20/4

x = 5

Answer:

I can not give an exact solution, because I can not draw in the given image and I don't know the scale of the image, but I can give a general way of solving this.

We know that a circle is a shape such that al the points are equidistant to the center.

So, if Bertie is always exactly 1.3cm from crumb A, then all the possible positions of Bertie are shown by a circle of radius = 1.3cm around crumb A.

And if Adam is always exactly 3.5cm away from crumb B, then the possible positions of Adam are shown by a circle of radius = 3.5cm around crumb B.

So to solve this problem, you need to draw these two circles, and the points where the circles intersect each other will be the points where Bertie and Adam could meet.

the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.

A variable is anything that may be altered in the context of a mathematical notion or experiment. Variables are frequently denoted by a single symbol. .

a. Input variables: hours worked as a cashier, payroll clerk, and assistant.

The total amount earned each week is the output variable.

b. To determine the weekly total, multiply the number of hours worked at each job by the hourly rate and put them together. As a result, the equation would be:

Total weekly wage = (hours worked as a cashier x cashier hourly rate) + (hours worked as a payroll clerk x payroll clerk hourly rate) + (hours worked as an aide x rate per hour as an aide)

c. The amount of hours worked as an assistant is always 10 hours fewer than that of a payroll clerk. Therefore, if x denotes the number of hours worked as a payroll clerk, then the number of hours worked as an assistant may be denoted as (x - 10).

d. The equation describing the total money earned each week is as follows:

(20 x 9.5) + (x x 9) + ((x - 10) x 7) = y

This expression is simplified as follows:

y = 190 + 9x - 70 + 7x

y = 16x + 120

Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.

f. The realistic replacement values for x would be determined by the maximum number of hours you may work at each job as well as the amount of time available to work. Working 8 hours as a payroll clerk may be a reasonable substitute value if you have restricted availability, but 50 hours is unlikely.

g. If you do not work as an aide, you may calculate your total weekly income by setting the number of hours worked as an aide to zero in the calculation for the total amount earned each week. This results in:

y = 16x + 120 + 0

y = 16x + 120

As a result, the total weekly wage would be determined only by the number of hours performed as a cashier and payroll clerk.

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The area of the cross-section would be the area of a square with side length of 3 inches, which is 3 x 3 = 9 square inches.

A cube is a three-dimensional geometric shape that has six square faces of equal size and angles, 12 edges of equal length, and eight vertices of equal distance from the center of the cube. A cube is a special case of a rectangular parallelepiped in which all the edges are equal in length.

To divide a cuboid into two cubes, we need to make sure that the dimensions of the cuboid are multiples of the side length of the cubes.

Since the side length of each cube is 3 inches, we can divide the height of the cuboid (which is 8 inches) into two parts, each measuring 4 inches. The base of each cube would then be a square with side length of 3 inches, which means the area of each cube's base is 3 x 3 = 9 square inches.

To find the area of the cross-section, we need to determine which face of each cube will be exposed after dividing the cuboid. Since the cuboid was divided into two cubes, we can assume that the cross-section will be a square with side length of 3 inches (the same as the side length of each cube).

Therefore, the area of the cross-section would be the area of a square with side length of 3 inches, which is 3 x 3 = 9 square inches.

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The answer to all parts is shown below.

1. The most useful statistical instrument to be used with a big number of respondents is a survey questionnaire.

This allows researchers to collect data from a large sample size efficiently and in a standardized manner, ensuring that all respondents are asked the same questions in the same order. Online surveys are particularly useful as they can reach a wider audience and allow for easy data analysis.

2. The process you are referring to is called "expert interviews".

3. This is an example of a survey question that measures a respondent's preference.

4. The changes in characteristics, behavior, and attitudes of the people observed are the focus of observation.

5. Open-ended question.

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Answer:

x = 2

Step-by-step explanation:

Step 1: Define

f(x) = 3x + 1

f(x) = 7

Step 2: Substitute

7 = 3x + 1

Step 3: Solve for x

6 = 3x

x = 2

To add more answer options, click the + Add an answer button below the answer options A and B. You can add up to 10 answer options in total for a multiple choice question. Indicate the correct answer(s) using the checkbox(es) aligned to the right of the answer options

Answer:

4 OR 4.5 SECONDS

Step-by-step explanation:

The angle measure of the angle in the diagram is 62°.

From the question, we are to determine the angle measure of the angle shown in the diagram.

The angle shown is an acute angle.

An acute angle is an angle whose measure is less than 90°.

To determine the measure of the angle, we will read the angle from the side which the angle is closer to zero (0). We will read from 0 to the line that indicates the angle.

Reading the angle:

Reading the angle as explained above, the measure of the angle is 62°

Hence, the angle measure is 62°.

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