If you shifted y=3x+6 five units to the right, what would the linear equation be? (Hopefully it's challenging and easy at the same time.)

Answer:

(√77) / 22

Step-by-step explanation:

To rationalize the fraction we must multiply the entire fraction by √11 / √11. Note that the 2 is not important because it's not a radical. This gives us √77 / 22.

Answer:

D.

Step-by-step explanation:

To tell whether the domains can include 0, all you need to do is find where x = 0, and whether the y-value is real.

h(x) = sqrt(2x^2 + 5x - 3)

= sqrt(0^2 + 5 * 0 - 3)

= sqrt(-3)

Since this includes the square root of a negative number, h(0) is an imaginary number. That means that we can eliminate choices A and B.

If you look at the graph of w(x), when x = 0, there is a real value for the y-value on the graph. But, if you think about it, if you have 0 workers, there is no way that you can still be producing wrenches. So, the domain cannot contain 0.

Your answer will be D.

Hope this helps!!

Answer:

csc∅ = 25/7

sec∅ = 25/24

cot∅ = 24/7

Step-by-step explanation:

Cosecant (csc) is 1/sin∅ or hypotenuse over opposite

Secant (sec) is 1/cos∅ or hypotenuse over adjacent

Cotangent (cot) is 1/tan∅ or adjacent over opposite

Answer:

I don't think so

Step-by-step explanation:

Answer:

(-1, 4)

Step-by-step explanation:

Answer:

  see below

Step-by-step explanation:

There are a couple of ways to go about this.

The general form of a conic equation is ...

  Ax^2 +Bxy +Cy^2 +Dx +Ey +F = 0

For AC > 0, this is the equation of an ellipse or circle. (AC < 0, hyperbola; AC = 0, parabola)

So, from the coefficients of the given equation, AC = 2·5 = 10, you know the equation is of an ellipse.

__

The rotation matrix for Cartesian coordinates tells you ...

  x = x'·cos(θ) +y'·sin(θ)

  y = -x'·sin(θ) +y'·cos(θ)

For θ = 45° the values of these trig functions are all (√2)/2. That is, there is no way to get coefficients in the rotated equation that involve √3. This eliminates choice 2.

The only remaining viable choice is choice 4.

__

If you like, you can substitute for x and y using the above relations. You will find that the result differs from any of the answer choices. The rotated figure will have the equation ...

  [tex]5x^2-6xy+9y^2+10\sqrt{2}x+2\sqrt{2}y-80=0[/tex]

For example, the x and y terms become ...

  [tex]6x-4y=6(x'\cos{(45^{\circ})}+y'\sin{(45^{\circ})})-4(-x'\sin{(45^{\circ})}+y'\cos{(45^{\circ})})\\\\=10x'\dfrac{\sqrt{2}}{2}+2y'\dfrac{\sqrt{2}}{2}\\\\\text{Multiplying this by 2 gives $\dots$}\\\\10x'\sqrt{2}+2y'\sqrt{2}[/tex]

Note that this is not the 10√2x' -10√2y' shown in choice 4.

__

Another way to look at this is to look at the angle of rotation relative to alignment with the x- and y-axes. That angle α is given by ...

  cot(2α) = (A -C)/B

For the original ellipse, the rotation angle is ...

  α = arccot((2 -5)/2)/2 ≈ -16.85°

For the transformed ellipse of choice 4, the rotation angle is ...

  α = arccot((9 -5)/6)/2 ≈ 28.15°

This is 45° more*, as it should be, indicating choice 4 is the better of the offered choices.

__

If you do the angle calculation for the 2nd answer choice, you will find it has no relation to a 45° rotation of the original ellipse.

_____

* While the computed rotation angle is as expected, the fact that the x^2 and y^2 coefficients have been swapped means that the long and short axes of the ellipse have been swapped. That is, the long axis of the ellipse has been rotated 45° in the wrong direction by the equation given in the answer choices. The second attachment shows the original ellipse (red), the properly rotated ellipse (dashed red) and the ellipse of choice 4 (blue).

Answer:

36 squared units

Step-by-step explanation:

So you can draw "made up lines" or I guess lines you draw yourself to create 2 rectangles. Check attachment.

The first rectangle is a square and has sides 3 and 3, so you get the area of 9.

The second, has sides 9 and 3, so you get the area of 27

Since you are trying to find the entire thing, you add 27 and 9 to get 36

Answer:

9.

Step-by-step explanation:

You would have to find the area of the triangle which is 1/2(bh) which would give you 9. So you would 9 feet of outdoor carpet. Which is actually already given to you as the area inside the triangle.

Answer:

9

Step-by-step explanation:

I finally got it!

Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.

So to write 3/7 as a percent, we need to find a fraction

equivalent to 3/7 that has a 100 in the denominator.

We can do this by setting up a proportion.

So we have [tex]\frac{3}{7} = \frac{n}{100}[/tex].

Now, we can use cross-products to find the missing value.

So we have (3)(100) which is 300 is equal to (7)(n) or 7n.

So we have the equation 300 = 7n.

Next, dividing both sides of the equation by 7, we have 42.8571 = n.

So 3/7 is equal to 42.8571/100 or 42.8571%.

Answer:

D. x²/1953²  + y²/ 1466² = 1

Step-by-step explanation:

==>Given:

Radius of spherical moon = 1000km

Distance of satellite from moon surface = 953km to 466km

==>Required:

Derived equation of ellipse

==>Solution:

The formula for driving an equation of ellipse is given as:

x²/a² + y²/b² = 1

Where,

a = length of the semi-major axis, while,

b = length of the semi-major axis

Since we are told that the satellite distance to the surface of the moon varies from 953km to 466km, values of a and b is calculated by summing each length to the radius of the moon as follows:

a = radius of moon + the larger distance of the satellite = 1000+953 = 1,953km

b = radius of moon + the smaller distance of the satellite = 1000+466 = 1,466km

Thus, the equation of the ellipse would be:

x²/1953²  + y²/ 1466² = 1

Answer:

12

Step-by-step explanation:

If we extend this triangle we see that it makes a right triangle with legs of 6 and 6. The area of that triangle is 1/2 * 6 * 6 = 18. The part that is not shaded is a right triangle with legs 6 and 2, it's area is 6 * 2 / 2 = 6. The shaded area is 18 - 6 = 12.

Answer:

A. 648

Step-by-step explanation:

The special shape has a length of 2.02 m (202 cm) and width of 1.22 m (122 cm).

Given a tile of 2 cm × 2 cm, and that a double row of tiles make a border.

For a single row border,  

the number of tiles required for its length = 202 /2 = 101

the number of tiles required for its width = 122/2 = 61

For a single row border, the total number of tiles for the perimeter of the special shape = 2 (101 + 61)

                       = 324

The number of tiles for a single row border is 324.

The number of tiles required to make the double row of tiles border = 2 (324)

                            = 648

The number of tiles required to make the border is at least 648.

Answer:

E

Step-by-step explanation:

y’’ + 9y = sin(3x)

The characteristics equation is;

m^2 + 9 = 0

solving this we have 2 complex roots

m= -3i, 3i

Thus;

yh = Ccos(3x)+ Dsin(3x)

let yp = Axcos(3x) + Bxsin(3x)

Now, because we have sin(3x) and cos(3x) with constant coefficient in yh, option E is our answer

Answer:

These are vertical transformations because the parent function is being translated up and down which are vertical directions.

192.

2(8+4)÷2(8+8) = 1(4+8)×(8+8)

1×12×16=192.

Answer:

Step-by-step explanation:

[tex]2(4 + 8) \div 2(8 + 8)[/tex]

Any expression divided by itself equals 1

[tex]1(4 +8) \times (8 + 8)[/tex]

Add numbers

[tex]1 \times 12 \times 16[/tex]

Any expression multiplied by 1 remains the same

[tex]12 \times 16[/tex]

Multiply the numbers

[tex]192[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

4.5 hours

Step-by-step explanation:

If you take both of their alone time

6 and 3

Add them together

Divide both of them By 2

Giving you your answer

It takes Jane six hours to complete the job and it takes Bill three hours; if both of them did the job together, it would take them 2 hours.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let t represent the time that would take both Jane and Bill to clean the park, hence:

[(1/6) + (1/3)]t = 1

t = 2 hours

It takes Jane six hours to complete the job and it takes Bill three hours; if both of them did the job together, it would take them 2 hours.

Find out more on equation at: https://brainly.com/question/2972832

Answer:

Six Million Seven Hundred Eighty Two Thousand one hundred sixty three

Step-by-step explanation:

Hope it helps...Pls Mark as Brainliest!!

Answer:

Six Million Seven Hundred Eighty Two Thousand One Hundred and Sixty Three.

Step-by-step explanation:

6, 782, 163

Answer:

Step-by-step explanation:

Her sample is of a portion/part of the population of jewelers in her town

Her sample is also biased and id not a representation of the population in that she sampled on the biggest jewelers without considering the smaller one which might possibly have the latest jewelry trends.

Answer: It is Bias and not representative

Step-by-step explanation:

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The average college major requires 34 credit hours to complete, with a standard deviation of 3 hours. A college's academic advisors conduct a study to see how many credit hours a sample size of 50 students will need to take to complete their majors.

They calculate:

μx = μ = 34

σx = μ/√n = 34/√50 = 4.81

What did they do wrong?

Answer:

The sample mean will be the same as the population mean

μx = μ = 34

Whereas the standard deviation of the sample would be

σx = σ/√n

σx = 3/√50

σx = 0.424

Therefore, the college's academic advisors wrongly calculated the standard deviation of the sampling distribution.

Step-by-step explanation:

From the given information we know that,

The population mean is

μ = 34 credit hours

The population standard deviation is

σ = 34 credit hours

The college's academic advisors take a sample size of 50 students so

sample size = n = 50

Since the sample size is quite large then according to the central limit theorem,

The sample mean will be the same as the population mean

μx = μ = 34

Whereas the standard deviation of the sample would be

σx = σ/√n

σx = 3/√50

σx = 0.424

Therefore, the college's academic advisors wrongly calculated the standard deviation of the sampling distribution.

Full question:

Eighteen of 50 digital video recorders (DVRs) in an inventory are known to be defective. What is the probability you randomly select an item that is not defective?

Answer:

16/25

Step-by-step explanation:

Probability is the likelihood of an event happening and it is calculated as the number of favourable outcomes divided by the total number of possible outcomes. From the above we can calculate probability of finding a DVR that is not defective by adding up number of DVRS that are not defective in the DVRS(favourable outcomes) and dividing it by the total number of DVRS(total number of possible outcomes).

Non defective dvrs=total number of dvrs-defective dvrs=50-18=32

So probability here=non defective dvrs/total number of dvrs

=32/50=16/25

Answer:

m = 2

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug our coordinates into the slope formula and solve for m:

m = (5 - 3)/(4 - 3)

m = 2/1

m = 2

Answer:

Step-by-step explanation:

Let the points be A and B

A( 3 , 3 ) -----> ( x1 , y1 )

B(4 , 5 ) ------>( x2 , y2 )

Now,

finding the slope,

Slope =[tex] \frac{y2 - y1}{x2 - x1} [/tex]

[tex] = \frac{5 - 3}{4 - 3} [/tex]

[tex] = \frac{2}{1} [/tex]

[tex] = 2[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

the correct answer is 15011.428571

Step-by-step explanation:

=525.4 ÷ 0.035

=15011.428571

hope this works out!!!!

The division of decimal values 525.4 ÷ 0.035 = 15011.428571........

To divide decimals we make them integers by multiplying the numerator and denominator by 10ⁿ, where n is the number of decimal places in the numerator or denominator, whichever has more.

Then we follow the steps of normal numeric divisions.

In the question, we are asked to divide the equation 525.4 ÷ 0.035.

We can write this as 525.4/0.035.

Now, 0.035 has more decimal places, with n = 3, where n is the number of decimal places.

Thus, we multiply the numerator and denominator by 10³ = 1000.

Therefore, 525.4/0.035

= (525.4*1000)/(0.035*1000)

= 525400/35

= 15011 3/7

= 15011.428571........

Thus, the division of decimal values 525.4 ÷ 0.035 = 15011.428571........

Learn more about decimal division at

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Answer:

50%

Step-by-step explanation:

There are 3 numbers fitting the rule, 1, 2, and 6. There is a 3/6 chance rolling one of them or 50%.

Answer:

50%

Step-by-step explanation:

1 value> 5 and 2 values<3, out of total of 6

P (greater than 5 or less than 3) = 3/6= 50%

Answer:

no because one x value corresponds to two different y values

Answer

I will give you some hints and yea

Step-by-step explanation:

first try to figure out how much the quarters are you can first guess for example there were 8 quarters and ?nickels and work your way up and then you will get closer and closer to your answer  

Answer:

0.05n + 0.25(36 – n) = 6

Step-by-step explanation:

Answer:

life is a precious gift of GOD like see these days conditions too much people are dying  life is our test it is worth whoever we wonder we are not birds,stones,mountains,trees they are also surviving and we are too we have not to survive we have to live our life there must be a difference between humans and animals i know life is brutal,tough and hard than why is it tough brutal and hard because it is a test a common life also passes and a man who serves hummanity his life also passes but a man serving hummanity is always remembered

"your life is your message to the world make it inspiring"

life is worth and too much previous

to die is easier than to life we have to live because  we love challanges

Step-by-step explanation:

i hope this will help you :)

Answer:

Step-by-step explanation:

yeah

Answer: [tex]x^{2} + 8x[/tex]

Step-by-step explanation:

In a triangle A = 1/2bh.

Thus, multiply 1/2 * 2x * (x+8)

x(x+8)

[tex]x^{2} + 8x[/tex]

Answer:

There is enough evidence to support the claim that the average sales are significantly greater for salespersons with a college degree than for salespersons without it.

Step-by-step explanation:

The question is incomplete:

"A national computer retailer believes that the average sales are greater for salespersons with a college degree. A random sample of 32 salespersons with a degree had an average weekly sale of $3599 last year, while 35 salespersons without a college degree averaged $3311 in weekly sales. The standard deviations were $468 and $642 respectively.

Required:

Is there evidence at the 5% level to support the retailer's belief?"

This is a hypothesis test for the difference between populations means.

The claim is that the average sales are significantly greater for salespersons with a college degree than for salespersons without it.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2> 0[/tex]

The significance level is 0.05.

The sample 1 (college degree), of size n1=32 has a mean of 3599 and a standard deviation of 468.

The sample 2 (non-college degree), of size n2=35 has a mean of 3311 and a standard deviation of 642.

The difference between sample means is Md=288.

[tex]M_d=M_1-M_2=3599-3311=288[/tex]

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{468^2}{32}+\dfrac{642^2}{35}}\\\\\\s_{M_d}=\sqrt{6844.5+11776.114}=\sqrt{18620.614}=136.4574[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{288-0}{136.4574}=\dfrac{288}{136.4574}=2.11[/tex]

The degrees of freedom for this test are:

[tex]df=n_1+n_2-2=32+35-2=65[/tex]

This test is a right-tailed test, with 65 degrees of freedom and t=2.11, so the P-value for this test is calculated as (using a t-table):

[tex]\text{P-value}=P(t>2.11)=0.019[/tex]

As the P-value (0.019) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average sales are significantly greater for salespersons with a college degree than for salespersons without it.

Answer: If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate 7-i5.

Step-by-step explanation:

Given: 7+5i is a zero of a polynomial function of degree 5 with coefficients

Here, 7+5i is a complex number.

So, it conjugate ([tex]\overline{7+5i}=7-5i[/tex]) is also a zero of a polynomial function.

Hence, if 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate 7-i5.

If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate which is 7 - 5i

The standard form of writing complex numbers with real and imaginary values is expressed as:

z = x + iy

The conjugate of the complex number will be y = x - iy

Given the polynomial 7 + 5i. If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate which is 7 - 5i

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Answer:

1). [tex]\text{log}_4(5x^2+2)=\text{log}_4(x + 8)[/tex]

2). log(x - 1) + log5x = 2

3). ln(x + 5) = ln(x - 1) + ln(x + 1)

4). [tex]e^{x^2}=e^{4x+5}[/tex]

Step-by-step explanation:

1). ln(x + 5) = ln(x - 1) + ln(x + 1)

   ln(x + 5) = ln(x - 1)(x + 1)  [Since ln(a×b) = ln a + lnb]

   (x + 5) = (x- 1)(x + 1)

   x + 5 = x² - 1

   x² - x - 6 = 0

   x² - 3x + 2x - 6 = 0

   x(x - 3) + 2(x - 3) = 0

   (x + 2)(x - 3 ) = 0

   x = -2, 3

   But x = -2 is an extraneous solution.

  Therefore, x = 3 is the only solution.

2). [tex]e^{x^2}=e^{4x+5}[/tex]

  x² = 4x +5

  x² - 4x - 5 = 0

  x² - 5x + x - 5 = 0

  x(x - 5) + 1(x - 5) = 0

  (x + 1)(x - 5) = 0

  x = -1, 5

  Therefore, solution set is (-1, 5)

3). [tex]\text{log}_4(5x^2+2)=\text{log}_4(x + 8)[/tex]

   5x² + 2 = (x + 8)  

   5x² - x - 6 = 0

   5x² - 6x + 5x - 6 = 0

   x(5x - 6) + 1(5x - 6) = 0

   (x + 1)(5x - 6) = 0

   x = -1, [tex]\frac{6}{5}[/tex]

4). log(x - 1) + log5x = 2

    log(x - 1)(5x) = 2

    5x(x - 1) = 10² [if loga = b, [tex]a=10^{b}[/tex]]

    5x² - 5x - 100 = 0

    x² - x - 20 = 0

    x² - 5x + 4x - 20 = 0

    x(x - 5) + 4(x - 5) =0

    (x - 5)(x + 4) = 0

    x = -4, 5

But x = -4 is an extraneous solution.

Therefore, x = 5 is the only solution.