A painter earns $15 per hour. What is the minimum number of hours he must work to earn at least $200? Write an inequality to represent this situation and solve. Show your work.
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\( \tt \dashrightarrow 8 \times 4 = ( \triangle \times 7) - (\triangle \times 3)\)

\( \tt \dashrightarrow 32 = 7 \triangle - 3\triangle \)

\( \tt \dashrightarrow 32 = 4 \triangle \)

\(\tt \dashrightarrow \cancel\dfrac{32}{4} = \triangle \)

\(\tt \dashrightarrow 8 = \triangle \)

\(\tt \dashrightarrow \triangle = 8 \)

Hence, value of ∆ is 8.

The simplified expression is 26 - 4x.

To simplify the expression 6 - 4(x - 5), we can apply the distributive property and simplify the terms.

6 - 4(x - 5)

First, distribute -4 to the terms inside the parentheses:

6 - 4x + 20

Now, combine like terms:

(6 + 20) - 4x

Simplifying further:

26 - 4x

Therefore, the simplified expression is 26 - 4x.

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Answer:

3/7 (simplified)

Step-by-step explanation:

The original answer would be 6/14 because 6 out of 14 people said tennis. However, you divide both by 2 to get 3/7. The percent would be 42% if that is needed.

Question is incomplete

Answer:

See Explanation

Step-by-step explanation:

Let the cubic function be

\(f(x) = (x,y)\)

First transformation: Vertical compression

Let the scale factor be a where \(0 < |a| < 1\)

The new function becomes:

\(f'(x) = (x,ay)\)

Next: Reflection over y-axis

The rule is: \((x,y)=>(-x,y)\)

The new function becomes:

\(f"(x) = (-x,ay)\)

Lastly: Shifted up

Let the units up be b

The rule is: \((x,y)=>(x,y+b)\)

So, the new function becomes:

\(f"'(x) = (-x,ay+b)\)

Using the rules states above, assume the cubic function is:

\(f(x) = x^3\)

Vertical compress \(f(x) = x^3\) by \(\frac{1}{2}\)

\(f'(x) = \frac{1}{2}x^3\)

Reflect \(f'(x) = \frac{1}{2}x^3\) over y-axis

Rule: \(f"(x)= f'(-x)\)

Solving f'(-x)

\(f'(x) = \frac{1}{2}x^3\)

\(f'(-x) = \frac{1}{2}(-x)^3\)

\(f'(-x) = -\frac{1}{2}x^3\)

So:

\(f"(x) = -\frac{1}{2}x^3\)

Lastly: Shift \(f"(x) = -\frac{1}{2}x^3\) by 3

Rule: \((x,y)=>(x,y+b)\)

\(f'"(x) = f"(x + 3)\)

Solving: f"(x + 3)

\(f"(x) = -\frac{1}{2}x^3\)

Substitute x + 3 for x

\(f"(x + 3) = -\frac{1}{2}(x + 3)^3\)

So:

\(f'"(x) = f"(x + 3)\)

\(f"'(x) = -\frac{1}{2}(x + 3)^3\)

By applying the alternate interior angles theorem, the value of x is equal to 4.

Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

The alternate interior angles theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.

By applying the alternate interior angles theorem, the value of x would be calculated as follows:

25x + 33 = 20x + 53

25x - 20x = 53 - 33

5x = 20

x = 20/5

x = 4.

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The differential equation is: y'' + 8y' + 16y = 12x + 2 We are looking for a particular solution. We will assume that the particular solution has the form: yP = Ax + B We will then find the first and second derivatives:y'P = Ay''P = 0Therefore, the differential equation becomes:0 + 8(A) + 16(Ax + B) = 12x + 2

We can simplify this to:16Ax + 8A + 16B = 12x + 2By comparing coefficients, we find that A = 3/8 and B = -5/8. Thus, the particular solution is:yP = (3/8)x - 5/8 To find the particular solution of the differential equation y'' + 8y' + 16y = 12x + 2, we assume that it has the form of Ax + B. So, we have to differentiate the given form once and twice in order to solve the differential equation. After solving, we get the particular solution as (3/8)x - 5/8. This is the required solution of the given differential equation.The given differential equation is:y'' + 8y' + 16y = 12x + 2To find the particular solution, we assume that it has the form of Ax + B.Now, we differentiate the given form to get the first derivative:y'P = Aand the second derivative:y''P = 0We can now substitute these derivatives in the differential equation to get:

y''P + 8y'P + 16yP = 12x + 2=> 0 + 8A + 16(Ax + B) = 12x + 2=> 16Ax + 8A + 16B = 12x + 2

We can compare the coefficients of x and the constants to get the values of A and B:A = 3/8B = -5/8Thus, the particular solution is:yP = (3/8)x - 5/8

The particular solution of the given differential equation y'' + 8y' + 16y = 12x + 2 is (3/8)x - 5/8.

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Answer:

the answer is $50.50,

Answer:50.50

Step-by-step explanation:

The Confidence mean of the following given data is  (146) (154)

Z Score

The Z-score provides information on how far a given value deviates from the standard deviation. The Z-score, also known as the standard score, indicates how many standard deviations above or below the mean a specific data point falls. The level of variability within a particular data collection is effectively reflected in the standard deviation.

Standard test

A standardized test is any type of test that (1) requires all test takers to respond to the same questions, or a set of questions from a common bank of questions, in the same way, and (2) is scored in a "standard" or consistent manner, making it possible to compare the relative performance of individual test takers.

Any exam that: (1) mandates that all test takers respond to the same questions, or a set of questions from a common bank of questions, in the same way; and (2) is scored in a "standard" or consistent manner, allowing for comparison of the relative performance of individual test takers.

The computation is shown below;

The z value for the 130 mean score is 2

The margin of error is

= (z × standard deviation) ÷ √n

= (2 × 24) ÷ √143

= (48 ) ÷ √143

= 48 ÷ 11.9

= 4.03

= 4

The confidence  mean is

= (150 - 4) (150 +4)

= (146)  (154)

Confidence  mean = (146)  (154)

Hence, the Confidence mean of the following given data is (146) (154)

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There are 4096 functions from a set with 4 elements to a set with 8 elements.

To find the number of functions from one set to another, we use the formula:

Number of functions = (Number of elements in the codomain)Number of elements in the domain

In this case, the domain is the set with 4 elements and the codomain is the set with 8 elements. Plugging in these values into the formula, we get:

Number of functions = 84

Number of functions = 4096

Therefore, there are 4096 functions from a set with 4 elements to a set with 8 elements.

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Answer:

3/7 ; -7

Step-by-step explanation:

1)

(7-4)/(10-3)

3/7

2) -7 because is the number that multiplies x

\( {n}^{2} - 11n + 10 = \)

\((n - 1)(n - 10)\)

.................................................

If they were to add more staff to assist with the check-in process, then the average time parents wait decreases, the maximum time the parents wait decreases and average number of parents waiting to check in their child decreases. So, the correct answer is (i), (ii), (iii).

Parents and students standing in line for check-in and actually checking in. Parents and children are the customers here, and the staff who support parents and students are the servers. A limited number of servers and many clients will increase the queue length. In other words, as more parents enter the queue, the wait time for each parent increases, increasing the average wait time. Additionally, the longer the queue, the longer the maximum wait time.

Therefore, adding check-in staff will increase the number of customers to serve the same number of patients. Queues are split across multiple servers, so you get all three benefits.

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First you will get 4dz

Answer:

It's linear, so its proportional/has a relationship.

The y/x thing means slope, so take the slope -- which is 9.

Answer:

(x,y)

Step-by-step explanation:

x comes first always

(x,y)

so 2 would be the x value and 3 would be the y value

Answer:

y = 4/3x - 4

Step-by-step explanation:

you are given b

so y = mx -4

you can look at the graph and see the slope from there. like the y-intercept and the x-intercept

(0,-4) and (3,0)

slope formula is y2-y1/x2-x1

and so you do -4-0/0-3

-4/-3.

so your slope formula would be

y = 4/3x - 4

Answer:

23,490

Step-by-step explanation:

Almost all of the tests that we studied this semester (except for chi-square) were parametric tests, they considered parametric because, b. the distribution of the dependent variable was normal.

Here, we have,

we know that,

Parametric tests are those tests for which we have prior knowledge of the population distribution (i.e, normal), or if not then we can easily approximate it to a normal distribution which is possible with the help of the Central Limit Theorem. Parameters for using the normal distribution is – Mean. Standard Deviation.

Well Chi Square is known as a Non- parametric test not a parametric test . This is because it makes no assumptions about the distribution of the sample while doing Goodness of Fit test.

Chi-square tests and parametric tests differ in terms of the hypotheses they test, the type of data they are used with, and the assumptions underlying the tests. Chi-square tests are used to test for associations between categorical variables, while parametric tests are used to test for differences between means in continuous data.

so, we get,

Almost all of the tests that we studied this semester (except for chi-square) were parametric tests, they considered parametric because, b. the distribution of the dependent variable was normal.

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Answer:

-53 (answer : B)

Step-by-step explanation:

hello :

this the arithmetic sequence because :

(-9)-(-13)=(-13)-(-17)= 4  (common difference)

the first term is : A1 = -17

the nth term of an arithmetic sequence is :

An= A1 +(n-1)d   ....a common difference is : d

the 10th term is : A10

A10= -17 +(10-1)(4) = -17-36 = -53 (answer : B)

Answer:

-60

Step-by-step explanation:

     First do the operation in the inner most brackets.

{4 - [-2 - (1 + 3)] }*(-6) ={ 4 - [-2 - 4] } * (-6)

                          = { 4- [ -2 - 4] } * (-6)

                         = {4 - [-6] } * (-6)

                         = { 4 + 6} * (-6)

                           = 10 * (-6)

                            = -60

Answer:

4(x-3)(x+6)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Types of angles: Vertical angles

Key Information: The position of the given

Equation: 2x+25=50

Solution: 12.5

The variances of x and x + 24 will be different.

Variance is a measure of how spread out the values of a random variable are and is calculated by taking the square of the standard deviation. Adding 24 to the random variable will change the values and therefore, the variance of the new random variable will be different than the original one.

More specifically, variance measures how far each number in the set is from the mean (average), and thus from every other number in the set.

The value of variance is equal to the square of standard deviation, which is another central tool.

Variance is symbolically represented by σ2, s2, or Var(X).

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Answer:

B. Cerebellum

Step-by-step explanation:

Answer:

A. 23/30

Step-by-step explanation:

2/3+1/10

Find the LCM (Least Common Multiple):

20/30+3/30 = 23/30

Answer:

A

Step-by-step explanation:

you put 2/3 = 20/30 because you add a 0 2 * 10 is 20 and so on. same for 1/10 multiply nand d by 3= 3/30 so 20/30+3/30= 23/30

Answer:

2.25

Step-by-step explanation:

5.20 * 1.06 = 5.512

11.70 - 5.512 = 6.188

6.188 / 2.75 = 2.25018

Round to the nearest hundredth which equals....

2.25

The rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

What is volume?

Volume refers to the amount of three-dimensional space occupied by an object or a substance.

To find the rate of increase in the volume V of a sphere when the surface area S becomes 100π square inches, we need to use the formulas relating the surface area and volume of a sphere to its radius.

The surface area S of a sphere is given by the formula:

\(S = 4\pi r^2,\)

where r is the radius of the sphere.

The volume V of a sphere is given by the formula:

\(V = (4/3)\pi r^3.\)

To find the rate of increase in volume with respect to time, we need to differentiate the volume formula with respect to time.

Given that the radius r is increasing at a uniform rate of 0.3 inches per second, we can write:

dr/dt = 0.3 inches per second.

Now, let's differentiate the volume formula with respect to time:

\(dV/dt = d/dt [(4/3)\pi r^3].\)

Using the power rule of differentiation, we get:

\(dV/dt = (4/3)\pi * 3r^2 * (dr/dt).\)

Simplifying further, we have:

\(dV/dt = 4\pi r^2 * (dr/dt).\)

Since we want to find the rate of increase in cubic inches per second, we need to express the volume in cubic inches.

Substituting the value of the surface area S = 100π square inches into the surface area formula:

\(100\pi = 4\pi r^2.\)

Dividing both sides by 4π, we get:

\(r^2 = 25.\)

Taking the square root of both sides, we find:

r = 5.

Now, we can substitute the value of r into the rate of increase formula:

\(dV/dt = 4\pi(5^2) * (0.3).\)

Simplifying the expression:

dV/dt = 4π(25) * 0.3.

dV/dt = 30π cubic inches per second.

Therefore, the rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

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Answer: False

Step-by-step explanation:

   This is not a function because the single input [x] of 6 has outputs [y] of 2 and 4, and the single input [x] of 12 has outputs [y] of 2 and 4.

   A function must have only one output [y-value] for every input [x-value].