table show step by step how do you simplify the algebraic expression 3(x-5)+4x.
Justify step 4​

Answer:

-1

Step-by-step explanation:

m = -7 / 7 = -1 / 1 = -1

Answer:

-1

Step-by-step explanation:

To find the slope given two points, use the formula: \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\). In this case, the formula would be: \(\frac{-5-2}{3-(-4)}\). Solve the top first: -7. Solve the bottom next: 7. So your answer is: \(\frac{-7}{7}\) or -1.

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Answer:

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Step-by-step explanation:

Answer:

2.5x-1.5x=21

2.5x-1.5x=21

1x=21

x=21 ANSWER.

Step-by-step explanation:

MARK ME AS A BRAINLIST PLZ

\(\bold{Hello~!}\)

\(2.5x~-~1.5x~=21:~x = 21\)

\(\sf{Add~similar~elements:~2.5x~ -~ 1.5x = x\)

\(\sf{x = 21}\)

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Answer:

\( x_{1} = 2, ▪︎ x_{2} = -2\)

Step-by-step explanation:

\( {x}^{2} = 4 (mod6)\)

\( {x}^{2} = 4\)

\( x =±2 \)

\( x_{1} = 2, ▪︎ x_{2} = -2\)

Answer:

25.5 and 1.5

Step-by-step explanation:

AC = 12 cm

BC = 13.5 cm

12 + 13.5 = 25.5 cm

13.5 - 12 = 1.5 cm

The possible length of segment AC is 25.5 cm and 1.5 cm.

A line segment is a part of line that is bounded by two distinct end-points. A line segment has a fixed length. Figures such as a triangle, polygon, hexagon, square are made of different numbers of line segments.

For the given situation,

The points A, B, and C lie on a line.

Length AB = 12 cm

BC = 13.5 cm

The possible length of segment AC can be found by adding and subtracting the lengths of AB and BC.

a) Length of AC = \(13.5+12\)

⇒ \(25.5\) cm

b)  Length of AC = \(13.5-12\)

⇒ \(1.5\) cm

Hence we can conclude that the possible length of segment AC is 25.5 cm and 1.5 cm.

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Answer:

Step-by-step explanation:

Use a distributive property.

Distributive property:

\(\Longrightarrow: \sf{A(B+C)=AB+AC}\)

⇒ 6(x-4)=10

First, divide by 6 from both sides.

⇒ 6(x-4)/6=10/6

Solve.

⇒ x-4=5/3

Add by 4 from both sides.

⇒ x-4+4=5/3+4

Solve.

5/3+4

4*3/3+5/3

4*3+5/3

4*3=12

12+5=17

x=17/3

Dividing is another option.

17/3=5.6

x=17/3=5.6

I hope this helps you! Let me know if my answer is wrong or not.

The solution to the equation 1 h 5 2 h 5 is 7.

In this case option A is correct

The solution can be obtained by following steps-

We group like terms to get, we expand the brackets to get, this simplifies to, we now divide through by three to get,

\(h+ 2h= 16-5+ 10\\3h= 21\\h=7\)

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What is the solution to the equation 1 h 5 2 h 5?.

Answer: 5.4

Step-by-step explanation:

Answer:

hard

Step-by-step explanation:

I have never seen this before

Answer:

n + (n + 1) = -33

Step-by-step explanation:

First integer = n (given)

Therefore, second integer = (n + 1)

According to the given information:

n + (n + 1) = - 33

a) Mark earns $110 at the rock concert,  b) i) Mary's annual income is $66,000, c) Danny's regular salary is $400 and his overtime salary is $75. His total salary is $475.

a) Mark sells 200 programs, so he earns an additional $0.45 for each program. Therefore, his earnings from selling programs is 200 * $0.45 = $90. In addition, he earns a fixed amount of $20 for showing up. Therefore, his total earnings at the rock concert is $20 + $90 = $110.

b) i) Mary's annual income is her monthly salary multiplied by 12 since there are 12 months in a year. Therefore, her annual income is $5,500 * 12 = $66,000.

ii) Mary's gross earnings per pay period would depend on the pay frequency. If we assume a monthly pay frequency, her gross earnings per pay period would be equal to her monthly salary of $5,500.

iii) If Mary is paid semi-monthly, her earnings per pay period would be half of her monthly salary. Therefore, her earnings per pay period would be $5,500 / 2 = $2,750.

iv) If Mary is paid weekly, we need to divide her monthly salary by the number of weeks in a month. Assuming there are approximately 4.33 weeks in a month, her earnings per pay period would be $5,500 / 4.33 = $1,270.99 (rounded to the nearest cent).

c) To calculate Danny's regular salary and overtime, we need to consider his regular working hours and overtime hours.

Regular working hours: 8 hours on Monday + 8 hours on Tuesday + 8 hours on Wednesday + 8 hours on Thursday = 32 hours.

Overtime hours: 10 hours on Wednesday (2 hours overtime) + 10 hours on Friday (2 hours overtime) = 4 hours overtime.

Regular salary: Regular working hours * hourly rate = 32 hours * $12.50/hour = $400.

Overtime salary: Overtime hours * hourly rate * overtime multiplier = 4 hours * $12.50/hour * 1.5 = $75.

Therefore, Danny's regular salary is $400 and his overtime salary is $75. His total salary would be the sum of his regular salary and overtime salary, which is $400 + $75 = $475.

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Step-by-step explanation:

17000  x     1.04   twelve times          (.04 is 4% in decimal)

17 000 * 1.04^12 = 27 218

Answer:

two parallel lines

Step-by-step explanation:

the answer is parallel lines because parallel lines never touch so you would never have an answer. all the other answer choices mention some sort of intersection

The area of the stage is 228.

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Good luck!!!

Answer:

its 228

Step-by-step explanation:

hope i helped

Therefore , the solution of the given problem of volume comes out to be

1320 cm³ is the given volume of figure.

A three-dimensional object's volume, which is expressed in cubic units, indicates how much space it takes up. The cubic units cm3 and in3 are two examples. Contrarily, mass is a measure of the amount matter is in an object. It is usual practice to convert an object's weight into mass units like kilograms or kilograms.

Here,

Given :

The figure given volume is :

=> top prism: 5/12/10=600

=> lower prism: 15 12 15 (10 15) = 720

Mixing the two volumes

=> 720 + 600 = 1320 cm³

Therefore , the solution of the given problem of volume comes out to be

1320 cm³ is the given volume of figure.

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Answer:1134 trust me

Step-by-step explanation:

Answer:

  y = x²

Step-by-step explanation:

A quadratic function is a polynomial function that has a variable to the power of 2 as the highest degree term. y = 1/x^2 is not a polynomial. y=2x is a linear function.

  y = x^2 is a quadratic function

Answer:

y = x2

Step-by-step explanation:

correct on edge 2023

Answer:

-5/12

Step-by-step explanation:

2 1/6 -(-1 3/4) =

-13/6 - (-7/4) =

-5/12

-5/12

Step-by-step explanation:

Step 1: Eliminating a negative and changing our operation

−2 1/6 + 1 3/4

Step 2: Rewriting our equation with parts separated

-2 − 1/6 + 1 + 3/4

Step 3: Solving the whole number parts

−2 + 1 = −1

Step 4: Solving the fraction parts

−1/6 + 3/4 = ?

Step 5: Find the LCD of 1/6 and 3/4 and rewrite to solve with the equivalent fractions.

LCD = 12

−2/12 + 9/12 = 7/12

Step 6: Combining the whole and fraction parts

−1 + 7/12 = −5/12

The following distributions has a mean that varies

II. The distribution of sample data

III. The sampling distribution of the sample mean

The correct answer is option v) II and III."

Here, we have,

In the context of statistical distributions:

I. The population distribution refers to the distribution of a specific variable within the entire population. The mean of the population distribution which is fixed and does not vary.

II. The distribution of sample data refers to the distribution of a variable within a specific sample. The mean of the sample data can vary from one sample to another.

III. The sampling distribution of the sample mean refers to the distribution of sample means taken from multiple samples of the same size from a population. The mean of the sampling distribution of the sample mean is equal to the population mean, but the individual sample means can vary from sample to sample.

Therefore, the mean varies in both the distribution of sample data (II) and the sampling distribution of the sample mean (III), but not in the population distribution (I).

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In Milgram's first study of obedience, the majority of teachers initially complied but refused to deliver more than slight levels of shock.

In Milgram's first study of obedience, participants were assigned the role of 'teacher' and were instructed to administer electric shocks to a 'learner' whenever they answered a question incorrectly. The shocks ranged from mild to severe, with the highest level labeled as 'XXX.' The learner was actually an actor, and no real shocks were administered.

The study found that the majority of teachers initially complied with the experimenter's orders and delivered shocks, but they refused to deliver more than slight levels of shock. This suggests that while they were willing to follow the instructions to some extent, they had moral reservations about causing significant harm to another person.

It is important to note that the study has been criticized for ethical concerns and the potential psychological harm it may have caused to participants. However, it remains a significant contribution to our understanding of obedience and the power of authority figures.

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First convert the angle measure from radians to degrees using the formula

Were θ represents the angle of interest

So for this exercise the angle is pi, so:

Now using the calculator you can determine tha tangent of negative 180º

tan(-180º)=0

So the tangent of negative pi should also be zero

There are a total of 3 x 10 x 10 = 300 possible combinations of suits, ties, and shirts that a person can select from. However, when selecting a traveling wardrobe, there are only 10 possible suit combinations, 10x10 = 100 possible tie combinations, and 10x10x10 = 1000 possible shirt combinations. This makes a total of 10 x 100 x 1000 = 100,000 possible selections of two suits, four ties and six shirts.

The sheer number of possible combinations indicates how important it is to choose wisely. The two suits should be complementary and appropriate to the occasion; the four ties can be chosen to match the suits, and the six shirts should be selected to mix and match with the ties and suits. Care should be taken to avoid repeating clothing items, and the person should also consider the climate and purpose of the trip in order to select the most suitable wardrobe.

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H= 20°

Explanation

as HJ is congruent to HK , here we have an isosceles triangle, The angles opposite to equal sides are equal in measure,so

Step 1

also, we know the sum of the internal angles in a triangle equals 180, so

Step 2

now, replace in angle H

therefore, the measurement fo H is

H= 20°

I hope this helps you

Answer:

11/25?

Step-by-step explanation:

In summary, fy(a,b) is the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.

The given expression represents the partial derivative of f(x, y) with respect to y, evaluated at (a, b):

fy(a,b) = lim┬(y→b)⁡〖[f(a,y) - f(a,b)]/(y - b)〗

Geometrically, this partial derivative represents the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.

To see why this is the case, consider the following argument:

Let L be the limit in the expression given above.

Let h = y - b be the change in the y-coordinate from b to y.

Then, we can rewrite the limit as:

fy(a,b) = lim┬(h→0)⁡〖[f(a,b + h) - f(a,b)]/h〗

This expression represents the average rate of change of f(x, y) with respect to y over the interval [b, b + h].

As h approaches 0, this average rate of change approaches the instantaneous rate of change, which is the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.

Therefore, fy(a,b) is the partial derivative of f(x, y) with respect to y, evaluated at (a, b).

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The measure of arc PD is 56.

What is a measure of arc?

The central angle that creates the intercepted arc's central angle, or the arc measure, is expressed in degrees. Arc length can be estimated as a percentage of the circle's circumference by multiplying the circle's diameter by the arc length, divided by 360.

Here, we have

Given: DR = 4x +4

PR = 50°

The sum of the measure of arc PR + DR = 180°

50° +  4x +4 = 180°

x = 4

Now we can find the measure of the arc of PD. we put the value of x in 12x+ 8 and we get

12(4) + 8 = 56

Hence, the measure of arc PD is 56.

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The measure of angle A is 1 degree.

What is sum of the angles ?

The sum of the angles in a triangle is always 180 degrees. This is known as the Triangle Sum Theorem. This theorem applies to all triangles, regardless of their size or shape, and is one of the fundamental properties of Euclidean geometry.

In addition to the Triangle Sum Theorem, there are other important angle relationships in geometry, such as the Exterior Angle Theorem, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. These angle relationships can be used to solve various problems in geometry, such as finding unknown angle measures or proving geometric theorems.

According to the triangle:
We know that the sum of the angles in a triangle is 180 degrees. Therefore, we can write:

angle C = 180 - angle A - angle B

Substituting the given expressions for angle A and angle B, we get:

angle C = 180 - (6x - 35) - (3x + 53)

Simplifying, we get:

angle C = 92 - 3x

We also know that the angles of a triangle are non-negative, so we can write:

angle A > 0, angle B > 0, angle C > 0

Substituting the given expressions for angle A and angle B, we get:

6x - 35 > 0 and 3x + 53 > 0

Solving these inequalities, we get:

x > 35/6 and x > -53/3

The second inequality is always true, so we only need to consider the first one. Since x must be greater than 35/6, the smallest integer value of x that satisfies this inequality is x = 6.

Substituting x = 6 into the expression for angle A, we get:

angle A = 6x - 35 = 6(6) - 35 = 1°

Therefore, the measure of angle A is 1 degree

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Answer:

Breadth = 12 m

Step-by-step explanation:

Area of a rectangle is given by the formula,

Area = Length × Width

Value of area and length of the rectangular park has been given in this question.

Therefore, by substituting these values in the formula,

300 = 25 × Width

Width = \(\frac{300}{25}\)

          = 12 m

Therefore, width or breadth of the rectangular park will be 12 m.

Answer:

-1

Step-by-step explanation:

less than means it comes after

-3/4 - 1/4

-4/4

-1

Answer:

after simplifying, we get,

23/6

Step-by-step explanation:

(2/3+5/2-7/3)+(3/2+7/3-5/6)

We simplify,

\((2/3+5/2-7/3)+(3/2+7/3-5/6)\\(2/3-7/3+5/2)+(3/2+7/3-5/6)\\(5/2-5/3)+(9/6+14/6-5/6)\\(15/6-10/6)+((9+14-5)/6)\\(15-10)/6+(23-5)/6\\5/6+18/6\\(5+18)/6\\23/6\)

Answer:

The required sample size is 347

Step-by-step explanation:

The required sample size can be calculated as follows

Since we use 95% confidence interval, then the z critical for 95% is 1.96.

The formula to calculate the sample size is derived from the formula of 95% confidence interval for a mean

\(\overline{X} \pm 1.96 \frac{s}{\sqrt{n}}\)

Where \(\overline{X}\) is the point estimate or the value, computed from sample information, that is used to estimate the population parameter

s is the sample standard deviation

n is the sample size

Since the task say that the estimation of the population mean is within a sampling error of plus or minus 2 then substitute 2 for margin of error

\(\overline{X} \pm 1.96 \frac{s}{\sqrt{n}}\)

\(\overline{X} \pm\) 2

From the above expression, then the equation to follow is

\(2 = 1.96 \frac{s}{\sqrt{n}}\)

Divide both sides by  1.96 to isolate  \(\frac{s}{\sqrt{n}}\)

\(\frac {2}{1.96}=\frac{s}{\sqrt{n}}\)

Simplify the left side of the equation

\(\frac {2}{1.96}=\frac{s}{\sqrt{n}}\)

\(1.02041=\frac{s}{\sqrt{n}}\)

Substitute 19 for s

\(1.02041=\frac{19}{\sqrt{n}}\)

Multiply both sides by  \(\sqrt{n}\\\)

\(1.02041\sqrt{n}=19\)

Divide both side by 1.02041 to isolate \(\sqrt{n}\\\)

\(\sqrt{n}=\frac{19}{1.02041}\)

\(\sqrt{n}=18.612\)

Square both side to get the value of n

n = 346.41

We round up to determine that the required sample size is n = 347

Hence the required sample size is 347

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Answer:

$121,500

Step-by-step explanation:

If the value increases by 5% every year, then in 61 years  it will increase by

5% * 61 years = 305%

301% of %30,000  is $91,500

$(30,000 + 91,500)

= $121,500

Answer:

What are the answer choices?

Step-by-step explanation:

Answer:

16 girls

because 4+3=7 when you add the ratios which is the total number of parts in the ratio.

then you divide 28/7=4 which is equal to one part

then you multiply 4x4 because you are trying to find out the number of girls and there are 4 part girls in the ratio. 4x4=16 so therefore there are 16 girls in the class