On a shelf there are 6 novels, 8 poetry books, and 4 mystery books. What is the probability that person A chooses a novel,then a mystery and walks away, then person B picks a mystery and a poetry book?

Answer:

−10d^4+17d^2s−6s^2

Answer:

y = 5

Step-by-step explanation:

y + 6 = –3y + 26

Add 3y to each side

y+3y + 6 = –3y+3y + 26

4y +6 = 26

Subtract 6 from each side

4y+6-6 = 26-6

4y = 20

Divide by 4

4y/4 = 20/4

y = 5

The solution of y in the equation y + 6 = - 3y + 26 is,

⇒ y = 5

We have to given that;

Expression is,

⇒ y + 6 = - 3y + 26

Now, We can simplify as;

y + 6 = - 3y + 26

Add 3y to each side

y + 3y + 6 = - 3y + 3y + 26

4y + 6 = 26

Subtract 6 from each side

4y + 6 - 6 = 26 - 6

4y = 20

Divide by 4

4y/4 = 20/4

y = 5

Thus, The solution of y in the equation y + 6 = - 3y + 26 is,

⇒ y = 5

Learn more about the equation visit:

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Answer:

$4.34

Step-by-step explanation:

Given the information:

We can find out the actual price that Diane bought a bunch of balloons that was marked down 20% is:

= the original price (100% - discount rate)

= 5(100% -20%)

= $4

= The actual price*tax rate

= $4*8.5%

= $0.34

=> the total cost of the bunch of balloons :

The actual price + tax price

= $4 + $0.34

= $4.34

Hope it will find you well.

[tex]answer = 1751\\ selling \: price = 1700 \\ tax \: percent = 3 \: percent \\ tax \: amount = tax \: percent \: of \: \: sp \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \: percent \: of \: 1700 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 51 \\ \\ \: final \: cost = 1700 + 51 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1751 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

Step-by-step explanation:

Selling price

[tex]1700[/tex]

Tax percent

[tex]3\%[/tex]

Tax amount

[tex]1700 \times \frac{3}{100} \\ = 51 [/tex]

Final cost

[tex]1700 + 51 \\ = 1751[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

0.25 rad to the nearest hundredth radian

Step-by-step explanation:

Here is the complete question

Suppose a projectile is fired from a cannon with velocity vo and angle of elevation (theta). The horizontal distance R(θ) it travels (in feet) is given by the following.  

R(θ) = v₀²sin2θ/32

If vo=80ft/s what angel (theta) (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?

Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian.

(θ)= ?rad

Solution

R(θ) = v₀²sin2θ/32

If v₀ = 80 ft/s and R(θ) = 95 ft

θ = [sin⁻¹(32R(θ)/v₀²)]/2

= [sin⁻¹(32 × 95/80²)]/2

=  [sin⁻¹(3040/6400)]/2

=  [sin⁻¹(0.475)]/2

= 28.36°/2

= 14.18°

Converting 14.18° to radians, we have 14.18° × π/180° = 0.2475 rad

= 0.25 rad to the nearest hundredth radian

Answer:

Theta= 0.32 rad

or Theta= 1.25 rad

Step-by-step explanation:

On the Aleks explanation

Answer:

2^2x3x5

Step-by-step explanation:

Answer:

This is a rotation of 180 degrees

Step-by-step explanation:

A translation is a shift side to side or up and down

A reflection is a mirror image across a line

A dilation is a shrink/enlargement

This is a rotation of 180 degrees.  If we rotate around the origin 180 degrees, we will have the same image

Answer:

B. one 90 degree rotation

Step-by-step explanation:

im smart.

Answer:

see below

Step-by-step explanation:

h(t)=−4.9t2+100t+325.

The independent variable is the one that we change

t which is in seconds

The dependent variable is the result

h(t) which is in meters

Answer:

It's B

Step-by-step explanation:

Because you see a reflection would show the traingle flipped translation would mean the traingle is in a totally different space and rotation would mean the shape is rotated and so B is left and so B is the correct answer.

Answer:

Midpoint of A and B is (4,5).

Step-by-step explanation:

If there are two points (x1,y1) and (x2,y2) on the coordinate plane

then midpoint is given by (x1+x2)/2 , (y1+y2)/2

_____________________________________

here two points are  (2,7)  and (6,3)

substituting this value in  (x1+x2)/2 , (y1+y2)/2

we have,

midpoint  (2+6)/2, (7+3)/2

  = 8/2 , 10/2 = 4,5

Midpoint of A and B is (4,5).

Step-by-step explanation:

f(x) = (x+2)(2-1)

= x(2-1)+2(2-1)

= 2x-x + 4-2

= 2x - x + 2

Answer:

the 4th option is correct

Step-by-step explanation:

[tex]xy^{2/9}[/tex]   Original expression

[tex]x(y^{2})^{1/9}[/tex]   Split up the exponent

[tex]x(\sqrt[9]{y^{2} } )[/tex]   The 1/9 of an expression is the same thing is the 9th root of the expression.

Answer: x =104

Step-by-step explanation:

If we draw the black line shown in the figure, two isosceles triangles are formed, and the base angles of the isosceles triangles are the same. The red angles are the same and the green ones too. The 104 degree angle is the sum of the red angle and the green angle, and x is also the sum of the red angle and the green angle, therefore x = 104.

Answer:

35

Step-by-step explanation:

2 lines are parallel if 5x-54 was equal to 3x+16 so

5x-54=3x+16

5x-3x=54+16

2x=70

x=35

Answer:

see below

Step-by-step explanation:

Let's call the width w. The length would then be 2w - 6. Since the area of a rectangle = length * width the answer is 208 = (2w - 6) * w.

Answer: $96.60  

Step-by-step explanation:

40% * 69 = markup price

0.4 * 69 = 27.6

Now add it to the wholesale price which is the price the store bought the shoes.

$27.6 + $69 = $96.60  

or

100% + 40% = 140%

140% of 69 = ?

1.4 * 69 = $96.60

Answer:

5400$

Step-by-step explanation:

First, you need to figure out 8% of 500$.

That is 40$.

Now, you need to multiply 500 by 10, because there are 10 years.

That is 5000$

Now, we need to add the 8% that was added each year. So we do 40$ times 10.  400$

Then we add the 5000 and 400.

The answer is 5400$

I really hope this helped you! So sorry if it doesn't!

Answer: 28/3 hours

Step-by-step explanation:

From the question, Kim and Josh can clean a house together in 3 hours while Kim alone uses 7 hours to clean the house by herself.

Kim's hourly rate will be to clean the house = 1/7 per hour.

In 4 hours:

Kim will have completed = 1/7 × 4 = 4/7 of the house

This mean that Josh completes:

1 - 4/7 = 3/7 of the house.

Josh's hourly rate will now be:

1/4 × 3/7 = 3/28 of the house per hour.

From Josh to clean the house alone, he will use:

= 1 ÷ (3/28)

= 1 × 28/3

= 28/3 hours

Josh will use 28/3 hours to clean the house alone?

Answer: James + Steve = 68. = 17*3 = 51. Answer. Steve is 51 years old.

Answer:

The wife gets £468 over the son

Step-by-step explanation:

Firstly, we shall calculate the total amount Brian made from from what he and Paul won.

The ratio is 1:4, meaning for every 2 part Brain takes, Paul takes 4

Paul’s share is thus 1/5 * 7800 = 7800/5 = £1560

Now we have another ratio for sharing the amount Brain has at home.

The total ratio here is 1+6+3 = 10

The share of the wife will be 6/10 * 1560 = 6 * 156 = 936

The son share is half of this which is 936/2 = 468

The difference between their shares is £936-£468 = £468

( x - 12 ) ( x + 6 ) = 0

x - 12 = 0 and x + 6 = 0

x = 12 and x = -6

Answer:

[tex]x=12,\:x=-6[/tex] are your x intercepts

Step-by-step explanation:

[tex]\left(x-12\right)\left(x+6\right)=0\\\mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)\\\mathrm{Solve\:}\:x-12=0:\quad x=12\\x-12=0\\\mathrm{Add\:}12\mathrm{\:to\:both\:sides}\\x-12+12=0+12\\Simplify\\x=12\\\mathrm{Solve\:}\:x+6=0:\quad x=-6\\x+6=0\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\x+6-6=0-6\\Simplify\\x=-6\\The\:solutions\:to\:the\:quadratic\:equation\:are:\\x=12,\:x=-6[/tex]

Answer:

[tex]m=A-\frac{2n}{Z}[/tex]

Step-by-step explanation:

Multiply by 2:

2n = Z(A - m)

Divide by Z:

[tex]\frac{2n}{Z} =A-m[/tex]

Subtract A:

[tex]-m=\frac{2n}{Z}-A[/tex]

Multiply by -1:

[tex]m=A-\frac{2n}{Z}[/tex]

Answer:

[tex] log_{4}( {x}) [/tex]

Step-by-step explanation:

[tex] log_{4}( {x}^{2} ) - log_{4}(x) \\ = log_{4} \bigg( \frac{ {x}^{2} }{x} \bigg )..(by \: quotient \: rule) \\ = log_{4}( {x}) \\ \\ \purple{ \boxed{ \bold{\therefore \: log_{4}( {x}^{2} ) - log_{4}(x) = log_{4}( {x}) }}}[/tex]

Answer:

It is not cloudy.

Step-by-step explanation:

The negation is like the opposite of the statement. If you were to say something true, the negation of it would be false.

Answer: It is not cloudy.

Step-by-step explanation:

Answer:

Step-by-step explanation:

What you are looking for is the simplification of f(x) divided by g(x). This can be easily accomplished with synthetic division. If we are dividig the quadratic by x - 1, we will use the fact that if x - 1 = 0, then x = 1. We will put that 1 outside the "box" and put the coefficients from the quadratic inside the "box" and do the division synthetically. The coefficients on the quadratic terms are 2, 1, and -3:

1 | 2     1     -3

___________

We begin by bringing down the first number, a 2, and multiplying it by the 1 in the box and putting the product up under the 1:

1 |  2     1     -3

           2        

    2

Now we add down the column:

1 |  2     1     -3

          2        

    2     3

Now multiply the 3 by the 1 outside the box and put that product up under the -3 and then add down that column:

1 |  2     1     -3

          2     3

   2      3     0

Because we have a 0 remainder, that means that the quadratic was evenly divisible by x - 1.  What we have left is called a depressed polynomial. It takes on the x values at one degree lesser than what we started with. Namely, it will be 2x + 3.

2x + 3 is what we get when we divide the quadratic by x - 1. BUT because we started off with x - 1 in the denominator, even though we divided it away to simplify, we still have to take into account that the value of 1 makes the denomiator go to 0, which is never allowed in math.

So the answer you want is the first one!

Answer:

The length is 7 and the width is 4

Step-by-step explanation:

l = length

w = l-3

P =2( l+w)

22 = 2( l+ l-3)

Combine like terms

22 = 2(2l-3)

Divide each side by 2

22/2 = 2/2 (2l-3)

11 = 2l-3

Add 3 to each  side

11+3 = 2l-3+3

14 = 2l

Divide each side by 2

14/2 =2l/2

7 = l

Now find w

w = l-3

w = 7-3 = 4

Answer: length = 7 cm

Width = 4 cm

Step-by-step explanation:

Perimeter = 2 (l + w)

22 = 2 ( l + l-3)

22=2 (2l - 3)

22=4l - 6

22+6 = 4l

4l = 28/4

l = 28/1 = 7 = length

Width = 7-3 = 4

Step-by-step explanation:

Do it yourself will be help ful

[tex]6113 {2x}^{2} [/tex]

Answer:

the mode remains the same

Step-by-step explanation:

42 is outlier.

mod is the most repetitive number of a number string, and outlier does not change it.

the mode remains the same.

Answer:

-7/6

Step-by-step explanation: