Help thank you!!!!!!!

Answer:

B. Square both sides of the equation.

Step-by-step explanation:

You cannot do anything to the equation unless you square both sides to eliminate the square root on the left (squaring each individual term of the equation does not help; you need to square the entire square root to eliminate it).

Hope this helps!

Answer:

D

Step-by-step explanation:

a function is a relation of two sets that associates to every number of the first set only one number of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.

Answer:

D. the quadratic equation

Step-by-step explanation:

This is because in a function, there can not be multiple solutions for one x value. Each of the graphs display points in which the answer to x is multiple values of y, which is not a characteristic of a function.

You can see this by doing a vertical line test. Place and guide your pencil or any straight edge along the beginning of a graph to the end. If the line crosses x at two or more points, the graph is not a function. The quadratic equation is the only one that is a function because as your pencil moves along, you will see that each point has its own x value and nothing overlaps.

Answer:

Arrow from 0 to 4.7 and from 4.7 to 2.4

Step-by-step explanation:

4.7 is also 0+4.7

arrow from 0 to 4.7.

-2.3 from 4.7 is 4.7-2.3=2.4

arrow from 4.7 to 2.4.

Answer:

Use the interactive number line to find the difference.

4.7 - 2.3 = 4.7 + (-2.3) =

✔ 2.4

Step-by-step explanation:

Answer:

the solutions to the inequality ys-x+1 are shaded on the graph. which point is B. (3 ,-2)

Answer:

hello :- 9/7 and 3/8

Step-by-step explanation:

y = 6(7x + 9)(8x – 3)

y=0 means :   7x+9=0   or 8x-3=0

7x = -9  or 8x=3

x= - 9/7   or x= 3/8

Answer:

-9/7, 3/8

Step-by-step explanation:

The zeroes can be found in the parenthesis.

You need to set each parenthesis to zero first.

7x+9=0

subtract 9

7x=-9

divide 7

x=-9/7

For 8x-3=0

add the 3

8x=3

divide the 8

x=3/8

Answer:

the probability that the company's total hospital costs in a year are less than 50,000  = 0.7828

Step-by-step explanation:

From the given information:

the probability that the company's total hospital costs in a year are less than 50,000 will be the sum of the probability of the employees admitted.

If anyone is admitted to the hospital, they have [tex]\dfrac{1}{3}[/tex] probability of making at least one more visit, and a [tex]\dfrac{2}{3}[/tex]  probability  that this is their last visit.

If zero employee was admitted ;

Then:

Probability = (0.80)⁵

Probability = 0.3277

If one employee is admitted once;

Probability = [tex](0.80)^4 \times (0.20)^1 \times (^5_1) \times (\dfrac{2}{3})[/tex]

Probability = [tex](0.80)^4 \times (0.20)^1 \times (\dfrac{5!}{(5-1)!}) \times (\dfrac{2}{3})[/tex]

Probability = 0.2731

If one employee is admitted twice

Probability = [tex](0.80)^3 \times (0.20)^2 \times (^5_2) \times (\dfrac{2}{3})^2[/tex]

Probability = [tex](0.80)^3 \times (0.20)^2 \times (\dfrac{5!}{(5-2)!}) \times (\dfrac{2}{3})^2[/tex]

Probability = 0.1820

If two employees are admitted once

Probability = [tex](0.80)^4\times (0.20)^1 \times (^5_1) \times (\dfrac{1}{3}) \times (\dfrac{2}{3})[/tex]

Probability = [tex](0.80)^4 \times (0.20)^1 \times (\dfrac{5!}{(5-1)!}) \times (\dfrac{1}{3}) \times (\dfrac{2}{3})[/tex]

Probability = 0.0910

∴

the probability that the company's total hospital costs in a year are less than 50,000  = 0.3277 + 0.2731 + 0.1820

the probability that the company's total hospital costs in a year are less than 50,000  = 0.7828

Answer:

10/3.

Step-by-step explanation:

To find the slope, we do the rise over the run.

In this case, the rise is 4 - (-6) = 4 + 6 = 10.

The run is -2 - (-5) = -2 + 5 = 3.

So, the slope is 10/3.

Hope this helps!

10/3

Step-by-step explanation:

gradient=y²-y¹

x²-x¹

= -6-4

-5-(-2)

= -10

-5+2

= -10

-3

=10/3

Answer:

it takes approximately 3 hours

Step-by-step explanation:

Answer:

The probability that a randomly selected student is female or a physics major is 0.65.

Step-by-step explanation:

Note: This question is not complete. A complete is therefore provided before answering the question as follows:

A physics class has 40 students. Of these, 14 students are physics majors and 18 students are female. Of the physics majors, six are female. Find the probability that a randomly selected student is female or a physics major. The probability that a randomly selected student is female or a physics major is_______.

The Step-by-step explanation is therefore provided now as follows:

The probability that a randomly selected student is female or a physics major can be calculated using the following formula:

P(PM or F) = P(PM) + P(F) - P(PMF)

Where;

P(PM or F) = Probability of student selected is Physics Major or Female = ?

P(PM) = Probability of student selected is Physics Major = Number of Physics Major / Total number of students in the Physics class = 14 / 40 = 0.35

P(F) = Probability of student selected is Female = Number of female students in the Physics class / Total number students in the Physics class = 18 / 40 = 0.45

P(PMF) = Probability of student selected is Physics Major and Female = Number Physics Major that female in the Physics class / Total number students in the Physics class = 6 / 40 = 0.15

Substituting the values into equation (1), we have:

P(PM or F) = 0.35 + 0.45 - 0.15 = 0.65

Therefore, the probability that a randomly selected student is female or a physics major is 0.65.

Answer:

what is the physics question

Step-by-step explanation:

Answer:

0.287

Step-by-step explanation:

Use binomial probability:

P = nCr p^r q^(n-r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

P = ₇C₄ (0.53)⁴ (0.47)³

P ≈ 0.287

Answer:

7.2 qt

Step-by-step explanation:

1. Determine how much blue paint is needed in comparison to white paint

9 ÷ 5 = 1.8

For every 1 part of white paint, 1.8 times that amount of blue paint is needed.

2. Multiply the 4 qt of white paint by 1.8

4 · 1.8 = 7.2

The number of blue paints Mitch will need given the proportion of white and blue paints is 7.2qt

Given:

Blue paints = 9

White paints = 5

Ratio of blue paints to white paints = 9 : 5

Ratio of blue paints to white paints = x : 4

9 : 5 = x : 4

9/5 = x/4

cross product

9 × 4 = 5 × x

36 = 5x

x = 36/5

x = 7.2 qt

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Answer: 7.5 ounces of  7% acid solution is mixed with 12.5 ounces of 23% acid solution to obtain 20 oz of a 17% acid solution.

Step-by-step explanation:

Let x = Ounces of 7% acid solution

y=  Ounces of 23% acid solution

According to the question , we have two linear equations:

x+y=20    

i.e. y=20-x  ...(i)

0.07 x+ 0.23y =0.17 (20)

i.e.  0.07x+0.23y= 3.4 ...(ii)

Substitute value of y from (i) in (ii) , we get

0.07x+0.23(20-x)= 3.4

⇒ 0.07x+4.6-0.23x=3.4   [distributive property]

⇒ 0.07x-0.23x=3.4-4.6 [subtract 4.6 from both sides]

⇒ -0.16x=-1.2

⇒  x = 7.5    [divide both sides by-0.16]

put value of x in (i) , we get y= 20-7.5 =12.5

Hence, 7.5 ounces of  7% acid solution is mixed with 12.5 ounces of 23% acid solution to obtain 20 oz of a 17% acid solution.

Parameterize the square (call it S) by

[tex]\mathbf s(u,v)=2u\,\mathbf x+2v\,\mathbf z[/tex]

with both [tex]u\in[0,1][/tex] and [tex]v\in[0,1][/tex].

Take the normal vector pointing in the positive y direction to be

[tex]\dfrac{\partial\mathbf s}{\partial v}\times\dfrac{\partial\mathbf s}{\partial u}=4\,\mathbf y[/tex]

Then the current is

[tex]\displaystyle\iint_S(y^2+5)\,\mathbf y\cdot4\,\mathbf y\,\mathrm dA=20\int_0^1\int_0^1\mathrm dA=\boxed{20\,\mathrm A}[/tex]

where [tex]y^2+5[/tex] reduces to just 5 because [tex]y=0[/tex] for all points in S.

Answer:

1/4

Step-by-step explanation:

There are 80 students.

25 are girls and 55 are boys.

10 are foreigners and 70 are Nepalese.

62.5% are Nepalese boys.

This means that the number of Nepalese boys is:

62.5/100 * 80 = 50

There are 50 nepalese boys and so there are 20 nepalese girls.

The probability of selecting a Nepalese girl is therefore:

20 / 80 = 1/4

Answer:

3.6

Step-by-step explanation:

1/9+1/6

1/3^2+1/2x3=1/x

2+3/3^2x2=1/x

5/3^2x2=1/x

x.5=18

5x=18

5x/5= 18/5

x=18/5

x=3.6

To paint the room if they worked​ together in 4 hours 14 min.

To find time if they work together.

science that deals with the addition, subtraction, multiplication, and division of numbers and properties and manipulation of numbers.An arithmetic sequence is a sequence where the difference between each successive pair of terms is the same. The explicit rule to write the formula for any arithmetic sequence is this:

an = a1 + d (n - 1).

Given that:

(1 room/Sally's time) + (1 room/Steve's time) = (1 room)/(time working together)

1/9+1/6+=+1/x

Multiply both sides by 54x

6x+9x=54

15x=54

x=3.6hours

Working together, they can paint the room in 3 hours 6 min.

So, to paint the room if they worked​ together in 3 hours 6 min.

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Answer:

The percentage is  [tex]P(x_1 < X < x_2) = 47.7 \%[/tex]

Step-by-step explanation:

From the question we are told that

   The  population mean is  [tex]\mu = \$ 150000[/tex]

    The standard deviation is  [tex]\sigma = \$ 1200[/tex]

    The prices we are considering is [tex]x_1 = \$150000 \to \ x_2 = \$ 152400[/tex]

Given that the price is normally distributed , the percentage the percentage of buyers who paid between $150,000 and $152,400 is mathematically represented as

      [tex]P(x_1 < X < x_2) = P(\frac{x_1 - \mu}{\sigma } < \frac{X - \mu}{\sigma } < \frac{x_2 - \mu}{\sigma })[/tex]

So   [tex]\frac{X - \mu}{\sigma }[/tex]  is equal to z (the standardized value of  X  )

   So

        [tex]P(x_1 < X < x_2) = P(\frac{x_1 - \mu}{\sigma } <Z < \frac{x_2 - \mu}{\sigma })[/tex]

substituting values

       [tex]P(x_1 < X < x_2) = P(\frac{150000 - 150000}{1200 } <Z < \frac{152400 - 150000}{1200 })[/tex]

      [tex]P(x_1 < X < x_2) = P(0<Z < 2)[/tex]

      [tex]P(x_1 < X < x_2) = P( Z < 2) - P( Z < 0 )[/tex]

From the standardized normal distribution table [tex]P(Z < 2 ) = 0.97725[/tex] and  

   [tex]P(Z < 0) = 0.5[/tex]

So  

     [tex]P(x_1 < X < x_2) = 0.97725 - 0.5[/tex]

    [tex]P(x_1 < X < x_2) = 0.47725[/tex]

The percentage is  [tex]P(x_1 < X < x_2) = 47.7 \%[/tex]

Answer:

16

Step-by-step explanation:

6*2 = 12

12 + 4 = 16

Answer:

Step-by-step explanation:

Given the Revenue in dollars modelled by the function R(x) = 60x-0.5x²

Cost in dollars C(x) = 3x+5

Profit function = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = 60x-0.5x²-(3x+5)

P(x) = 60x-0.5x²-3x-5

P(x) = -0.5x²+57x-5

The rate of change of total revenue = dR(x)/dt

dR(x)/dt = dR(x)/dx * dx/dt

dR(x)/dx = 60-2(0.5)x²⁻¹

dR(x)/dx = 60-x

Given x = 40 and dr/dx = 15 units per day

dR(x)/dt = (60-x)dx/dt

dR(x)/dt = (60-40)*15

dR(x)/dt = 20*15

dR(x)/dt = 300dollars

Rate of change of revenue = 300dollars

For the rate of change of cost;

dC(x)/dt = dC(x)/dx * dx/dt

dC(x)/dt = 3dx/dt

dC(x)/dt when dx/dt = 15 will give;

dC(x)/dt = 3*15

dC(x)/dt = 45 dollars.

Rate of change of revenue  = 45dollars

For the profit;

Profit = Rate of change of revenue -  rate of change of cost

Profit made = 300-45

profit made = 255 dollars

Answer:

8 units

Step-by-step explanation:

We need to rewrite an equation in the standard for  a circle form.

r is radius.

(x−h)²+(y−k)²= r²

x² + y² – 2x + 8y – 47= 0

x² - 2x + y² + 8y - 47 = 0

x² - 2*x *1+ 1 ²- 1² + y² + 2*4*y + 4² - 4² - 47 = 0

(x - 1)² + (y + 4)² - 1 - 16 -47 =0

(x - 1)² + (y + 4)² - 64=0

(x - 1)² + (y + 4)² = 8²

Radius is 8.

The radius of the circle is 8 units

The radius of a circle is a line drawn from the center to the circumference of the circle

The equation of the circle is given as;

[tex]x^2 + y^2 - 2x + 8y - 47 = 0[/tex]

Rewrite the equation as:

[tex]x^2 - 2x + y^2 + 8y = 47[/tex]

Next, we rewrite the equation in the standard form

So, we have:

x^2 - 2x + 1^2 - 1^2 + y^2 + 8y + 4^2 - 4^2 = 47

Evaluate the exponents

x^2 - 2x + 1 - 1 + y^2 + 8y + 16 - 16 = 47

Rewrite the equation as follows:

x^2 - 2x + 1 + y^2 + 8y + 16 = 47 + 1 + 16

Express as perfect squares

(x - 1)² + (y + 4)² = 64

(x - 1)² + (y + 4)² = 8^2

The radius of the circle is calculated as:

r^2 = 8^2

By comparison, we have:

r = 8

Hence, the radius of the circle is 8 units

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Answer:

( x+2) ^2 = 11

x =1.32,-5.32

Step-by-step explanation:

x^2 + 4x -7 = 0

Add the constant to each side

x^2 + 4x -7+7 = 0+7

x^2 + 4x = 7

Take the coefficient of the x term

4

Divide by 2

4/2 =2

Square it

2^2 = 4

Add this to each side

x^2 + 4x +4 = 7+4

Take the 4/2 as the term inside the parentheses

( x+2) ^2 = 11

Take the square root of each side

sqrt( ( x+2) ^2)  =±sqrt( 11)

x+2 = ±sqrt( 11)

Subtract 2 from each side

x = -2 ±sqrt( 11)

To the nearest hundredth

x =1.32

x=-5.32

Answer:

[tex](x+2)^2=11[/tex]

[tex]x=-2 \pm \sqrt{11}[/tex]

Step-by-step explanation:

[tex]x^2+4x-7=0[/tex]

[tex]x^2+4x=7[/tex]

[tex]x^2+4x+4=7+4[/tex]

[tex](x+2)^2=11[/tex]

[tex]x+2=\pm\sqrt{11}[/tex]

[tex]x=-2 \pm \sqrt{11}[/tex]

Hey there! I'm happy to help!

When you divide fractions, you are technically multiplying by the reciprocal, which is the numerator and denominator flipped. This means that 22/33 divided by 6/9 is equal to 22/33 multiplied by 9/6.

If we multiply these together, we get an answer of 1.

I hope that this helps! Have a wonderful day!

The calculated division of the numbers 22/33 divided by 6/9 is 1

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

22/33 divided by 6/9

When represented as an equation, we have

22/33 divided by 6/9 = 22/33 ÷ 6/9

Represent as a product expression

So, we have

22/33 divided by 6/9 = 22/33 * 9/6

So, we have the following result

22/33 divided by 6/9 = 1

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

the result is 1

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Answer:

52 green, 15 orange

Step-by-step explanation:

g + o = 67   g = green, o = orange, x = total

g = 3o + 7

use substitution: (3o + 7) + o = 67

solve for o:

4o + 7 = 67

4o = 60

o = 60/4 = 15

solve for g:

g + 15 = 67

g = 52

Answer:

The relation PriceVSDemand usually is an inverse relationship.

This means that, as the price of the object increases, the demand will decrease.

An inverse relationship is:

D = k/P

Where D is the demand, P is the price and K is a constant that depends on the situation.

Of course this relationship also can be something like:

D = k/P^n

With n ≥ 1.

If n = 1 we have the same as above, and if n > 1, the demand decreases faster as the price increases.

If

Answer:

36

Step-by-step explanation:

You did not attach a picture, so I just assumed where the lengths of 15 and 39 were.

Answer:

[tex](B) \dfrac12H (B+D)[/tex]

Step-by-step explanation:

[tex]\text{Area of a trapezoid }= \dfrac12 ($Sum of the parallel sides) \times $Height\\Parallel Sides = B and D\\Height =H\\Therefore:\\\text{Area of the trapezoid }= \dfrac12 (B+D) H[/tex]

The correct option is B.

Answer:

Step-by-step explanation:

The claim: "Less than 40% of college students graduate with student loan debt."

The null hypothesis: more than 40% of college students graduate with student loan debt." p >= 40%

If the actual percentage of college graduates with student loan debt is 45%. The researcher was supposed to fail to reject the null but since he rejected it when it was actually true, it is a type I error.

A type I error occurs when the research rejects the null when it is actually true.

Answer:

A sample of at least 541 is needed if we wish to be 98% confident that our sample mean will be within 4 hours of the true mean.

Step-by-step explanation:

We are given that an electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standard deviation of 40 hours.

We have to find a sample such that we are 98% confident that our sample mean will be within 4 hours of the true mean.

As we know that the Margin of error formula is given by;

The margin of error =  [tex]Z_(_\frac{\alpha}{2}_) \times \frac{\sigma}{\sqrt{n} }[/tex]

where, [tex]\sigma[/tex] = standard deviation = 40 hours

            n = sample size

            [tex]\alpha[/tex] = level of significance = 1 - 0.98 = 0.02 or 2%

Now, the critical value of z at ([tex]\frac{0.02}{2}[/tex] = 1%) level of significance n the z table is given as 2.3263.

So, the margin of error =  [tex]Z_(_\frac{\alpha}{2}_) \times \frac{\sigma}{\sqrt{n} }[/tex]

                 [tex]4=2.3263 \times \frac{40}{\sqrt{n} }[/tex]

                 [tex]\sqrt{n}= \frac{40 \times 2.3263}{ 4}[/tex]

                  [tex]\sqrt{n}=23.26[/tex]

                   n = [tex]23.26^{2}[/tex] = 541.03 ≈ 541

Hence, a sample of at least 541 is needed if we wish to be 98% confident that our sample mean will be within 4 hours of the true mean.

The most appropriate statement is the one that correctly reflects the confidence interval obtained from the survey data, as stated above.

The most appropriate statement to make regarding the true average number of days of "not good" mental health in 2010 for US residents, based on the given information, is:

"For these 1,151 residents in 2010, we are 95% confident that the average number of days of 'not good' mental health is between 3.40 and 4.24 days."

The 95% confidence interval of 3.40 to 4.24 days is obtained from the survey data, and it provides an estimate of the range within which the true average number of days of "not good" mental health falls for the entire population of US residents.

Regarding the provided options:

There is not sufficient information to calculate the margin of error of this confidence interval: This statement is not accurate since the margin of error can be calculated using the formula Margin of Error = (Upper Limit - Lower Limit) / 2.

For all US residents in 2010, based on this 95% confidence interval, we would reject a null hypothesis stating that the true average number of days of "not good" mental health is 5 days: This statement is not supported by the given information. The confidence interval provides an estimate of the range within which the true average lies, but it does not involve a comparison to a specific value such as 5 days.

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Based on the provided information and the 95% confidence interval of 3.40 to 4.24 days for "not good" mental health in 2010,

The most appropriate statement to make regarding the true average number of days of "not good" mental health for US residents in 2010 is:

"For these 1,151 residents in 2010, we are 95% confident that the average number of days of 'not good' mental health is between 3.40 and 4.24 days."

This statement accurately represents the confidence interval obtained from the survey data.

It indicates that the true average number of "not good" mental health days for the entire US population in 2010 is likely to fall within this range with a 95% level of confidence.

It's important to note that this statement only applies to the specific sample of 1,151 US residents surveyed in 2010.

To make inferences about the true average number of "not good" mental health days for all US residents in 2010, a different sample with a larger representative size would be required.

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Answer:

see below

Step-by-step explanation:

20x^3+8x^2-30x-12

Factor out the greatest common factor 2

2 (10x^3+4x^2-15x-6)

Then factor by grouping

2 ( 10x^3+4x^2      -15x-6)

Factor out 2 x^2 from the first group and -3 from the second group

2  ( 2x^2( 5x+2)  -3( 5x+2))

Factor out ( 5x+2)

2 ( 5x+2) (2x^2-3)

The 2 can go in either term to get binomials

( 10x +4) (2x^2-3)

or ( 5x+2) ( 4x^2 -6)

Answer:

[tex](10x+4)(2x^2 -3)[/tex]

Step-by-step explanation:

[tex]20x^3+8x^2-30x-12[/tex]

Rewrite expression (grouping them).

[tex]20x^3-30x+8x^2-12[/tex]

Factor the two groups.

[tex]10x(2x^2 -3)+4(2x^2 -3)[/tex]

Take the common factor from both groups.

[tex](10x+4)(2x^2 -3)[/tex]

Answer:

4d/k or [tex]\frac{4d}{k}[/tex]

Step-by-step explanation:

first multiply both sides by four

you will have 4d=fk

then divide by k

4d/k=f