gets paid 15 per hour what is the minumim number of hours that joseph must work per week to make $450 per moth? (1moth=4weeks)

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Answer:

You distribute first 2 into the parentheses

2x-20 Is your answer

thats all you do

Step-by-step explanation:

The pair of numbers that solves the system is (15.25, 164.5).

The system of equations, in slope-intercept form, for Farmer Elentire and Farmer Hopt are:

y = 6x + 71 (for Farmer Elentire)

y = 10x + 10 (for Farmer Hopt)

To find the pair of numbers that solves the system, we need to find the point where the two lines intersect.

We can do this by setting the equations equal to each other:

6x + 71 = 10x + 10

Solving for x, we get:

4x = 61

x = 15.25

Now that we know x = 15.25, we can plug this value into either equation to find y.

71 + 6x = 10 + 10x

Subtracting 6x and 10 from both sides, we get:

61 = 4x

Dividing both sides by 4, we get:

x = 15.25

Now we can use either of the original equations to find y. Let's use the first equation:

y = 71 + 6x = 71 + 6(15.25) ≈ 164.5

Using the first equation, we get:

y = 6(15.25) + 71

y = 163.5

Therefore,

The pair of numbers that solves the system is (15.25, 163.5), accurate to the nearest tenth.

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Answer:

The correct answer is a.

Step-by-step explanation:

The sequence is: 2 3 E 4 5 I 6 8 We can notice that there are numbers and letters alternating in the sequence. The numbers are increasing, and the letters seem to be vowels in alphabetical order. So, the next value should be a letter (vowel) after I, which is O. The correct answer is a.

The probability that a student has a dog given that they have a cat is 2/5.

To find the probability that a student has a dog given that they have a cat, we need to use conditional probability. We can use the formula:

P(Dog | Cat) = P(Dog and Cat) / P(Cat)

where P(Dog and Cat) is the probability that a student has both a dog and a cat, and P(Cat) is the probability that a student has a cat.

From the given data table, we can see that there are a total of 25 students in the class, and 15 of them have a cat. Of the 15 students with a cat, 6 also have a dog. Therefore, P(Dog and Cat) = 6/25 and P(Cat) = 15/25.

Substituting these values into the formula, we get:

P(Dog | Cat) = (6/25) / (15/25) = 6/15 = 2/5

Therefore, the probability that a student has a dog given that they have a cat is 2/5 or 0.4.

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The scatter plot shows a [positive linear] association.

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

The image of the scatter plot

On the scatter plot, we can see that

The points appear to be on a straight line

Also, we can see that

As the x values increases the y values increases

This represents a positive linear association.

Hence, the association is a positive linear association.

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Answer:

\(1\frac{1}{6} or 1.167\)

Step-by-step explanation:

\(\frac{1}{2} + \frac{2}{3}\)                    (convert 0.5 to a fraction: \(\frac{1}{2}\)

\(= (\frac{3}{3} )\frac{1}{2}+ \frac{2}{3}(\frac{2}{2} )\)     (find common denominator)

\(=\frac{3}{6} +\frac{4}{6}\)               (add the numerators together)

\(=\frac{7}{6}\)                      (if \(\frac{6}{6}\) is equal to 1, but we have one extra it becomes...)

\(=1\frac{1}{6}\)                    (convert to a decimal if needed)

\(= 1.167\)

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Answer 5000

Step-by-step explanation:

The zeros of the polynomial function are x = -1 and x = 5

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

y = x⁴ - 4x³ - 4x² - 4x - 5

To calculate the zeros of the polynomial function, we create a graph of the polynomial

The point where the graph intersect with the x-axis are the zeros of the polynomial function

using the above as a guide, we have the following:

Zeros: x = -1 and x = 5

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Answer:

a. N(t) = 1.25 (1/2)^t/7

b. 0.1160933038mg.

Step-by-step explanation:

The formula for half life =

N(t) = No(1/2)^t/t½

Where N(t) = Amount of Substance left

No = Initial amount not Substance

t = time after t years

t½ = Half life of the substance

From the question:

No = 1.25mg

t½ = 7 years

a. Find a model for the amount of albuterol left in the body t hours after an initial dose of 1.25 mg.

N(t) = No(1/2)^t/t½

No = 1.25mg

t½ = 7 years

N(t) = 1.25 (1/2)^t/7

b. How much albuterol is left in the body after 24 hours?

Using the model in the above question

N(t) = 1.25 (1/2)^t/7

N(t) = 1.25(1/2)^24/7

N(t) = 1.25(0.5)^3.4285714286

N(t) = 0.1160933038mg

Therefore, the quantity of albuterol left in the body after 24 hours is 0.1160933038mg.

Answer:

a) no

b) yes

c) 0.75(37 + c) ≥ 45

Step-by-step explanation:

lemonade = $0.75 per cup

Saturday sales = 37 cups

Let c = number of cups sold on Sunday

⇒ Total weekend sales = 0.75(37 + c)

a)  No, they will not reach their goal of making at least $45

If c = 12:

Total weekend sales = 0.75(37 + 12)= 0.75 x 49 = $36.75

$36.75 < $45

b) Yes, they will reach their goal of making at least $45

If c = 25:

Total weekend sales = 0.75(37 + 25)= 0.75 x 62 = $46.50

$46.50 > $45

c)

0.75(37 + c) ≥ 45

The required chance that the digits can form the number 510 is 6/1000, or approximately 0.006, or 0.6%.

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations.

The chance that the digits drawn can form the number 510 is given by the probability of drawing the digits 5, 1, and 0 in that order or in some rearrangement of the order.

There are 3! = 6 ways to arrange the digits 5, 1, and 0, and there are 10^3 = 1000 total possible outcomes when the random number generator is run three times.

So, the chance that the digits can form the number 510 is 6/1000, or approximately 0.006, or 0.6%.

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The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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Answer:

C = 600 + 50s

Vikas recruits 43 students  for this trip.

Vikas will receive free trip

Step-by-step explanation:

Entry fees for park per student = $50

No. of students = s

total fees for s students = Entry fees for park per student *No. of students

total fees for s students = $50 *s = $50s

Cost of bus transport = $600

Therefore,

total cost of trip for s students(C)= Cost of bus transport +  total fees for s students  = $600 + $50s

C = 600 + 50s

given C = $2750

2750 = 600 + 50s

=> 50s = 2750 - 600 = 2150

=> s = 2150/50 = 43

Therefore, Vikas recruits 43 students  for this trip.

Total capacity of bus = 46

90% of capacity of bus = 90/100*46 = 41.4

Given that Vikas will receive free of trip , if bus he is able  to fill 90% of the bus.

As he has filled 43 seats while 90% capacity is 41.4

hence Vikas will receive free trip.

Step-by-step explanation:

First let solve the inequality

\(5 {x}^{2} + 2x - 3 < 0\)

Factor by grouping

\(5 {x}^{2} + 5x - 3x - 3 < 0\)

\(5x(x + 1) - 3(x + 1)\)

So the factor are

\((5x - 3)(x + 1)\)

So the factor are

\(x = \frac{3}{5} \)

and

\(x = - 1\)

Solutions to a quadratic can be represented by a absolute value equation because remeber quadratics

creates 2 roots and/or double roots.

The inequality

\( |x - b| < c\)

works as

b is the midpoint between 2 roots. And c is the

\( |x + b| = c\)

We know that the midpoint between both roots is-1/5.

so

\( |x - ( - \frac{1}{5} )| < c\)

\( |x + \frac{1}{5} | < c\)

Let use roots 3/5

\( | \frac{3}{5} + \frac{1}{5} | = \frac{4}{5} \)

-1 works as well.

\( | - 1 + \frac{1}{5} | = | - \frac{4}{5} | = \frac{4}{5} \)

So the absolute value equation is

\( |x + \frac{1}{5} | < \frac{4}{5} \)

Answer:

47.5

Step-by-step explanation:

Answer:

answer is 84

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Figure C

Step-by-step explanation:

Answer:

Yes it is rational

Step-by-step explanation:

The square root of 900 is a rational number if 900 is a perfect square. It is an irrational number if it is not a perfect square. Since 900 is a perfect square, it is rational number.

Answer:

20000 = m(4000) power of t-1

Step-by-step explanation:

Refer to the attached photos. I would appreciate a rate :)

If we write a quadratic in vertex form:

\(y=a(x-h)^2+k\)

Then:

\(\bold{a}\)   \(\longrightarrow\)    is the coefficient of \(x^2\)

\(\bold{h}\)   \(\longrightarrow\)    is the axis of symmetry.

\(\bold{k}\)   \(\longrightarrow\)    is the max/min value of the function.

Also:

If \(a > 0\) then the parabola will be of the form \(\cup\) and will have a minimum value.

\(a < 0\) then the parabola will be of the form \(\cap\) and will have a minimum value.

For the given functions:

\(a < 0\)

\(f(x)=-(x-1)^2+5\)        this has a maximum value of \(\bold{5}\)

\(a > 0\)

\(f(x)=(x+2)^2-3\)           this has a minimum value of \(\bold{-3}\)

The speed at which Jonathon and Samantha can row in still water is 9 miles per hour.

Now we have a system of equations:

2(x + c) = 28

3(x - c) = 12

Let's solve this system of equations to find the values of "x" and "c."

Expanding the equations, we have:

2x + 2c = 28

3x - 3c = 12

We can solve the second equation for x:

3x = 3c + 12

x = (3c + 12) / 3

x = c + 4

Substituting this value of x into the first equation:

2(c + 4) + 2c = 28

2c + 8 + 2c = 28

4c + 8 = 28

4c = 20

c = 5

Now that we have the value of c, we can find the value of x:

x = c + 4

x = 5 + 4

x = 9

Therefore, the speed at which Jonathon and Samantha can row in still water is 9 miles per hour.

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SOLUTION:

Step 1:

In this question, we are given that:

Johnny Awesome lives at coordinates (-6, -4).

His friend Jack Black lives at (4, 8)

If they wanted to meet exactly halfway between their houses,

At what coordinate would they meet?

Step 2:

Comparing the two points:

( -6, - 4 ) and ( 4, 8 )

The mid-point of the two points can be calculated thus:

Step 3:

The graph showing the points are as follows:

CONCLUSION:

The co-ordinates exactly halfway between their houses =

Answer:

Attached is an example of a circle with a radius of 5 and a diameter of 10.

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The equation of the line in slope-point form is:

y - 7 = -4/5(x + 6)

The equation of a line in slope-point form is given by:

y - y₁ = m(x - x₁)

where:

(x₁, y₁) represents the coordinates of a point on the line.

m represents the slope of the line.

m = (y₂ - y₁)/(x₂ - x₁)

(x₁, y₁) represents the coordinates of the 1st point on the line

where (x₂, y₂) represents the coordinates of the 2nd point on the line

We have

(x₁, y₁) = (-6, 7)

(x₂, y₂) = (4, -1)

m = (y₂ - y₁)/(x₂ - x₁)

m = (-1 - 7) / (4 - (-6))

m = -8/10

m = -4/5

Using y - y₁ = m(x - x₁):

y - 7 = -4/5(x - (-6))

y - 7 = -4/5(x + 6)

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