Rocco received 5 new shirts and 2 new pairs of jeans for his birthday how many different ways can he wear his shirts with jeans?

2

5

7

10

None of these

Answers

Answer 1

Answer:

D

10

Step-by-step explanation:

Answer 2

The requried Rocco can wear his shirts with jeans in 10 different ways. The correct answer is 10.

To determine the number of different ways Rocco can wear his shirts with jeans, we need to multiply the number of options for shirts by the number of options for jeans. In this case, Rocco has 5 different shirts and 2 different pairs of jeans.

Since he can wear any shirt with any pair of jeans, the total number of different combinations is obtained by multiplying the number of shirts (5) by the number of jeans (2):

5 shirts * 2 pairs of jeans = 10 different ways

Therefore, Rocco can wear his shirts with jeans in 10 different ways. The correct answer is 10.

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Related Questions

What is the domain of g(x)?
The graph of f(x) = 6(0.25) and its reflection across the y-
axis, g(x), are shown.
COND
all real numbers
all real numbers less than 0
all real numbers greater than 0
all real numbers greater than or equal to 0
g(x)
A
+
1 +
f(x)
5
4 3
2
1
1 2
3
4
5 x

Answers

Answer:

y=(x+6)

2

−6

Step-by-step explanation:

The area of each triangular base is:
A = 1/2(b)(h) A = 1/2(4)(3)
A =
in.2
There are two bases, so total base area is
in..
he lateral area is:
A = 8(4) + 8(3) + 8(5)
A =
in.2
The total surface area is
in.​

Answers

Answer:

A=6

Total base area is 12

A=96

Total surface area is 108

Answer:

Step-by-step explanation:

A=6

There are two bases, so total base area is 12

A= 96

The total surface area is 108

A box shaped like a right rectangular prism

measures 5 centimeters by 3 centimeters by

2 centimeters. What is the length of the interior

diagonal of the prism to the nearest hundredth?

Answers

Answer:

[tex]\sqrt{38}[/tex]

Step-by-step explanation:

Given that:

The 3 demensions of the right rectangular prism measures 5 centimeters by 3 centimeters by  2 centimeters.

Because we do not know which one is the height, the length and the width of the box, so we assume them (it does not affect the length of the interior

diagonal )

the height : 5 centimetersthe length :  3 centimeters the width : 2 centimeters

To find the length of the interior  diagonal of the prism, we use the following formula:

d = [tex]\sqrt{l^{2} +w^{2} +h^{2} }[/tex] = [tex]\sqrt{5^{2} +3^{2} + 2^{2} } = \sqrt{38}[/tex]  

Hope it will find you well.

Answer

38 or about 6.16

Use the properties of exponents to solve for each
variable

4^8 •4² = 4^a
(2^4)^5 = 2^b
5^6

Answers

Step-by-step explanation:

[tex] \because \: {a}^{m} . {a}^{n} = {a}^{m + n} \\ \therefore \: {4}^{8} . {4}^{2} = {4}^{8 + 2} = {4}^{10} \\ \\ \because \: ({a}^{m})^{n} = {a}^{m \times n} \\ \therefore \:({2}^{4})^{5} = {2}^{4 \times 5} = {2}^{20} \\ \\ {5}^{6} = 5 \times 5 \times 5 \times 5 \times 5 \times 5 = 15625[/tex]

The solution are:

a = 10b = 205^6 = 15625

To solve for each variable using the properties of exponents, we can use the following steps:

Identify the base and exponent in each expression.

Use the properties of exponents to simplify the expressions.

Solve for the variable.

4^8 •4² = 4^a

Identify the base and exponent in each expression:

Base: 4

Exponent: 8 in the first expression, 2 in the second expression, and a in the third expression

Use the properties of exponents to simplify the expressions:

4^8 •4² = 4^(8+2) = 4^10

Solve for the variable:

4^a = 4^10

a = 10

(2^4)^5 = 2^b

Identify the base and exponent in each expression:

Base: 2

Exponent: 4 in the first expression, 5 in the second expression, and b in the third expression

Use the properties of exponents to simplify the expressions:

(2^4)^5 = 2^(4*5) = 2^20

Solve for the variable:

2^b = 2^20

b = 20

5^6

Identify the base and exponent:

Base: 5

Exponent: 6

Simplify the expression:

5^6 = 5*5*5*5*5*5 = 15625

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Find the indicated values, where [tex]g(t)= t^2 -t and f(t)=1+x[/tex].
f(2g(1)).

Answers

The indicted answer is f(2g(1)) = 1


What’s the correct answer for this question?

Answers

Answer:

13

Step-by-step explanation:

If they are equal to each other, than angle DF is the same as angle AC, and angle AC is 13, so DF must be 13

i believe 13 would be the correct answer

A student claimed 7 and -7 are the two cube roots of 343.
Do you disagree or agree​

Answers

Answer:

i think disagree ._.

The price of a car has been reduced from $23,500 to $17,155. What is the percentage decrease of the price of the car?

Answers

I think I would be 30% maybe... I could be wrong

Answer:

27%

Step-by-step explanation:

First get the decrease

Decrease = $23500 - $17155

= $6345

Percentage decrease = decrease/initial price x 100%

That’s

$6345/$23500 x 100%

0.27 x 100%

27%

The percentage decrease in the price of the car is 27%

If x=2 and y=4,what is the numerical value of the expression 7y minus 3x

Answers

Answer:

22

Step-by-step explanation:

If x=2 and y=4

7•4 - 3•2

28-6

So the answer is 22

What is the area in square millimeters of the triangle outlined
on the origami figure?


HELPPPPP

Answers

The area in square millimeters of the triangle outlined on the origami figure is 441 square millimeters.

In Mathematics and Geometry, the area of a triangle can be calculated by using the following mathematical equation (formula):

Area of triangle = 1/2 × b × h

Where:

b represent the base area.h represent the height.

Conversion:

7 cm to mm = 7 × 10

7 cm to mm = 70 mm.

1.26 cm to mm = 1.26 × 10

1.26 cm to mm = 12.6

By substituting the given side lengths into the formula for the area of a triangle, we have the following;

Area of triangle = 1/2 × b × h

Area of triangle = 1/2 × 70 × 12.6

Area of triangle = 35 × 12.6

Area of triangle = 441 square millimeters.

I need help on this Question.!

Answers

Answer:

see below

Step-by-step explanation:

m/n = 1/7

Using cross products

7m = n

This is a direct proportion

There are two nets that contain circles. What statement is true about both nets?

Answers

Answer:

They both contain circles or its either they both are nets.

Step-by-step explanation:

Line segment BA is tangent to the circle.


A circle is shown. Secant D B and tangent B A intersect at point B outside of the circle. Secant D B intersects the circle at point C. The length of A B is x, the length of B C is 55, and the length of C D is 120.


What is the length of line segment BA? Round to the nearest unit.

Answers

Answer:

Hence the length of line segment BA as 98 units

Step-by-step explanation:

Given:

BA as tangent to circle ,DB as secant which intersect at point C at circle

Length BC= 55 and CD=120

To Find:

Length of line segment AB.

Solution:

This follows the relationship between tangent and secant  in circle terms as:

Consider as figure such that ,

AB as tangent , DB as secant C be point at circle

So secant total distance = DB=BC+CD =55+120=175

Using formula as ,

[tex]AB^2=BC(BC+CD)[/tex]

We have to find AB

Here BC=55 and CD=120

[tex]AB^2=55(120+55)[/tex]

[tex]AB^2=55(175)[/tex]

[tex]AB^2=9625[/tex]

[tex]AB=98.10[/tex]

So nearest unit for length will be 98

Hence the length of line segment BA as 98 units

Answer:

98 units

Step-by-step explanation:

edge

Solve for p.
9(p - 4) = -18

Answers

Answer:

p=2

Step-by-step explanation:

9(p - 4) = -18

Divide each side by 9

9/9(p - 4) = -18/9

p-4 = -2

Add 4 to each side

p-4+4 = -2+4

p = 2

A recipe requires 5/6 of a cup of sugar. If Mrs. Marina is going to make on half of the recipe, then how much sugar does she need?

Answers

5/12 instead of the full amount

Answer:

5/12

Step-by-step explanation:

Let the unknown number of sugar requires by 1/2 recipe be x

1 recipe requires 5/6 cup of sugar

1/2 recipe requires x cup of sugar

Cross multiply

x=1/2×5/6

x=5/12

So the amount of sugar requires to make 1/2 recipe is 5/12

The case of 12 bottles of shampoo holds a total of 126 ounces. If each bottle of shampoo contains the same amount, which represents the total volume of shampoo in ounces, y, of any number of bottles, x?

Answers

Each bottle of shampoo contains 10.5 ounces. The formula for the total volume of shampoo (y) in terms of the number of bottles (x) is y = 10.5x.

Let's denote the amount of shampoo in each bottle as b (in ounces). Since there are 12 bottles of shampoo, the total volume of shampoo in ounces (y) is given by the product of the number of bottles (x) and the amount in each bottle (b). So, the equation is:

y = x * b

The problem states that the case of 12 bottles holds a total of 126 ounces. This can be expressed as:

126 = 12 * b

Now, we can solve for b by dividing both sides of the equation by 12:

b = 126 / 12

Simplifying:

b = 10.5

So, each bottle of shampoo contains 10.5 ounces.

Therefore, the formula for the total volume of shampoo (y) in terms of the number of bottles (x) is:

y = 10.5x

Answer:

Step-by-step explanation:

it is A

What is the area of the triangle?
8 cm
14 cm

Answers

Answer:

The answer is 56 cm2

Step-by-step explanation:

You have to multiply the height times the base then divide that answer by two.

8x14= 112

112/2= 56

Answer:

Step-by-step explanation: Area = 1/2 b.h

= 1/2 8cm.14cm

= 1/2 112 Square cm

= 112/2

= 56 Square cm.

This cylinder is 6 inches tall & has a volume of 60πin^3. Find the area of the cross section

Answers

Given:

Height of cylinder = 6 inches

Volume of cylinder = 60π in³

To find:

The area of the cross section.

Solution:

Volume of cylinder:

[tex]V=\pi r^2h[/tex]

[tex]\pi r^2h=60\pi[/tex]

Cancel the common factor π on both sides.

[tex]r^2h=60[/tex]

Substitute h = 6.

[tex]r^2\times 6=60[/tex]

Divide by 6 on both sides, we get

[tex]r^2=10[/tex]

Taking square root on both sides.

[tex]r=\sqrt{10}[/tex] inch

Area of cross section = [tex]\pi r^2[/tex]

                                   [tex]=\pi (\sqrt{10} )^2[/tex]    

                                   [tex]=10 \pi[/tex] in²

The area of the cross section is 10π in².

The equation shows a number multiplied by 5. n x 5=? Which of these is true about the results?

Answers

Answer:

5n

Step-by-step explanation:

The result of n x 5 is equal to 5 times the value of n.

The equation 'n x 5' represents the product of a number n and 5. The result can be positive or negative based on the value and sign of n. Also, parenthesis placement in expressions greatly affects the outcome due to the order of operations.

Understanding the Multiplication of Numbers and Order of Operations

The equation n x 5 indicates that a number n is being multiplied by 5. The results of this product will depend on the value of n and whether n is positive, negative, or zero. For example, if n is positive, like 2, then the product is also positive: 2 x 5 = 10. If n is negative, like -3, the result is negative: (-3) x 5 = -15. It's important to remember that when two positive numbers multiply, the answer has a positive sign, and when two negative numbers multiply, the result is also positive. However, if the two numbers have opposite signs, the answer will have a negative sign.

Furthermore, the placement of parentheses can affect the result of mathematical expressions. For instance, 2 + (3 x 5) is not the same as (2 + 3) x 5 due to the order of operations. In the first expression, multiplication is performed first, resulting in 17, whereas the second expression results in 25.

Understanding the rules of multiplication, including the signs of the numbers involved and the order of operations, is essential for solving equations and expressions correctly.

How are (3x)^2 and 3x^2 different?

Answers

Answer:

In (3x)^2, you are squaring both the 3 and the x:

9x^2

in 3x^2, you are squaring just the x:

3x^2

Answer:

(3x)^2=9x^2

(3x^2)=3x^2

Step-by-step explanation:

The difference between the two is that

(3x)^2 means the square applied to both the 3 and the x to give 9x^2

But on the other side

(3x^2) means that the square only applies to x without involving 3 which gives 3x^2

So there is difference between them

A circle has a diameter of 11cm

A square has a side length of 7cm

Use pythagoras’ theorem to show that the square will fit inside the circle without touching the edge of the circle.

Pleas help

Answers

Answer:

The diagonal length of the square equals:

diagonal ^ 2 = 7^2 + 7^2

diagonal ^ 2 = 49 + 49

diagonal ^ 2 = 98

diagonal = 9.899 cm

The diagonal is smaller than the circle's diameter and so it will ft inside the circle.

Step-by-step explanation:

Val needs to find the area enclosed by the figure. The figure is made by attaching semicircles to each side of a 58 dash m​-by-58 dash m square. Val says the area is 1 comma 917.48 msquared. Find the area enclosed by the figure. Use 3.14 for pi. What error might Val have​ made?

Answers

Answer:

We need to find the area of the semicircles + the area of the square.

The area of a square is equal to the square of the lenght of one side.

As = L^2 = 58m^2 = 3,364 m^2

Now, each of the semicircles has a diameter of 58m, and we have that the area of a circle is equal to:

Ac = pi*(d/2)^2 = 3.14*(58m/2)^2 = 3.14(27m)^2 = 2,289.06m^2

And the area of a semicircle is half of that, so the area of each semicircle is:

a =  (2,289.06m^2)/2 = 1,144.53m^2

And we have 4 of those, so the total area of the semicircles is:

4*a = 4* 1,144.53m^2 = 4578.12m^2

Now, we need to add the area of the square 3,364 m^2 + 4578.12m^2 = 7942.12m^2

This is nothing like the provided anwer of Val, so the numbers of val may be wrong.

Answer:

The answer is 4,112.00 m

Step-by-step explanation:

Val subtracted the​ square's area from area of the semicircles when it should be added to it.

Please help!
I don't understand..

Answers

Answer:

58 should be the answer

Step-by-step explanation:

<CBD is 90 and <BDC is 32 as well since its the same as angle <BDA and 180 in every triangle so 180-90-32=58.

Which type of individual retirement account should you choose if you want your contributions to be tax deductible?

Answers

401(k) , solo 401(k)

Compare the perimeter and area of the original figure to the perimeter and area of the reduced figure using the scale factor. A smaller rectangle has a length of 3 and width of 1. A larger rectangle has a length of 6 and width of 2. Which statements are true about the comparison between the two figures? Check all that apply. The scale factor is 2. The scale factor is One-half The perimeter of the model is the product of the scale factor and the perimeter of the original rectangle. The area of the reduced figure is half the area of the original figure. The area of the reduced figure is (One-half) squared, one-fourth times the area of the original figure.

Answers

Answer:

- The scale factor is one-half

- The perimeter of the model is the product of the scale factor and the perimeter of the original rectangle

-The area of the reduced figure is (1/2)^2 = 1/4 times the area of the original figure

Step-by-step explanation:

The ratio of the length of the original rectangle to that of the reduced rectangle is 6 to 3, or a factor of 1/2. The ratio of the width of the original rectangle to that of the reduced rectangle is 2 to 1, or, again, a factor of 1/2. So, because this ratio of 1/2 is constant, we know the total scale factor is 1/2, making B correct.

The perimeter of a rectangle is: [tex]P=2l+2w[/tex], where l is the length and w is the width. The perimeter of the reduced figure is: P = 2 * 3 + 2 * 1 = 6 + 2 = 8 units. The perimeter of the original figure is: P = 2 * 6 + 2 * 2 = 12 + 4 = 16 units.

Notice that 16 * (1/2) = 8, which means that the perimeter of the scale-factored, reduced rectangle is "the product of the scale factor (which is 1/2) and the perimeter of the original rectangle (which is 16)". So, C is correct.

The area of a rectangle is: [tex]A=lw[/tex], where l is the length and w is the width. The area of the reduced figure is: A = 3 * 1 = 3 units squared. The area of the original figure is: A = 6 * 2 = 12 units squared.

Notice that 12 * (1/4) = 3, which means that E is correct, but D is wrong.

Hope this helps!

Answer:

Statement 2: The scale factor is One-half

Statement 3: The perimeter of the model is the product of the scale factor and the perimeter of the original rectangle.

Statement 5: The area of the reduced figure is (One-half) squared, one-fourth times the area of the original figure.

Step-by-step explanation:

A smaller rectangle has a length of 3 and width of 1

Perimeter: 2(3+1) = 8

Area: 3×1 = 3

A larger rectangle has a length of 6 and width of 2

Perimeter = 2(6+2) = 16

Area = 6×2 = 12

Comparing areas:

Smaller : larger

3 : 12

1 : 4

Comparing perimeters:

Smaller : larger

8 : 16

1 : 2

What is the radius of the circle given by the
equation (x + 4)2 + (y − 3)2 = 4?
A. 16
B. 4
C. √4
D. 12

Answers

Answer:

C sqrt (4) or 2

Step-by-step explanation:

(x + 4)^2 + (y − 3)^2 = 4

We know that the equation for a circle can be written in the form

(x -h)^2 + (y − k)^2 = r^2  where (h,k) is the center and r is the radius

Rewriting the above equation

(x - -4)^2 + (y − 3)^2 = 2^2

The center is (-4,3) and the radius is 2

Amelia runs a catering business. Based on her records, her

weekly profit can be approximated by P = 2x2 - 44x – 150,

where x is the number of meals she caters and P is her profit.

When P is negative, Amelia has lost money.

1) What is the least number of meals Amelia needs to cater

in order to begin making a profit?

2) If she caters no meals one week, how much money does

she lose?

3) What is her profit for catering 50 meals?

Answers

Answer: (1) The least number of meals is 26 (2) She loses 150 if she caters no meal in one week. (3) Her profit would be 2,650 if she caters for 50 meals in one week

Step-by-step explanation: The weekly profit is given as a quadratic equation which is;

P = 2x² -44x - 150

We begin by solving for the value of x.

When 2x² -44x - 150 = 0

Divide all through by 2

x² - 22x - 150 = 0

By factorization,

(x - 25) (x + 3) = 0

(x -25) = 0 OR (x + 3) = 0

When x - 25 = 0

x = 25

When x + 3 = 0

x = -3

What this implies is that when Amelia caters for 25 meals in a week, her profit is calculated as follows

P = 2x² - 44x -150

P = 2(25)² - 44(25) - 150

P = 2(625) - 1100 - 150

P = 1250 - 1100 - 150

P = 0

(1) Therefore she must cater for at least 26 meals before she can begin to make any profit.

(2) She loses 150 if she caters no meal in one week.

This can be calculated as follows;

When x = 0,

P = 2x² - 44x - 150

P = 2(0)² - 44(0) - 150

P = 0 - 0 -150

P = -150

(3) When she caters 50 meals her profit becomes 2,650

P = 2x² - 44x - 150

P = 2(50)² - 44(50) - 150

P = 2(2500) - 2200 - 150

P = 5000 - 2200 - 150

P = 2650

Final answer:

1) The least number of meals Amelia needs to cater in order to begin making a profit is 25.

2) Amelia loses $150 if she caters no meals in a week.

3) For catering 50 meals, Amelia's profit is $2650.

Explanation:

1) To find the least number of meals Amelia needs to cater in order to begin making a profit, we need to determine when her profit, P, becomes positive. In other words, we need to solve the quadratic equation 2x^2 - 44x - 150 = 0 for x. This equation can be factored as (2x + 6)(x - 25) = 0. Therefore, x = -3 or x = 25. Since the number of meals cannot be negative, the least number of meals Amelia needs to cater in order to begin making a profit is 25.

2) If Amelia caters no meals one week, the profit, P, is given by P = 2(0)^2 - 44(0) - 150. Simplifying this equation, we get P = -150. Therefore, Amelia loses $150 if she caters no meals in a week.

3) To find Amelia's profit for catering 50 meals, we substitute x = 50 into the profit equation P = 2x^2 - 44x - 150. Plugging in x = 50, we get P = 2(50)^2 - 44(50) - 150 = 5000 - 2200 - 150 = $2650.

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I need help with this I've been trying to solve it for over half an hour.

Answers

Answer:

659.4 cm^2

Step-by-step explanation:

The area of the curved surface of the cone = πrL

=  π*7*16

= 3.14 * 112

= 351.68 cm^2,

Surface area of the hemisphere = 2 π r^2

= 2*3.14*7^2

= 307.72 cm^2.

Total area = 351.68 + 307.72

= 659.4 cm^2.

Hurry. A catapult launches a pumpkin with an upward velocity of 150 ft./s.
The height of the pumpkin, h, in feet after t seconds is given by the
function h = -16t2 + 150t + 20. How long does it take the
pumpkin to reach its maximum height? What is the pumpkin's
maximum height? Round to the nearest hundredth, if necessary.

Answers

Answer:

Time taken to reach maximum height=4.69 seconds

Maximum Height=371.56feet

Step-by-step explanation:

Given the height function of the pumpkin:

[Tex]h = -16t^2 + 150t + 20[/tex]

The pumpkin reaches it's maximum height at its axis of symmetry.

Therefore, we determine its equation of symmetry.

The equation of symmetry:

[Tex]t=-\frac{b}{2a}[/tex]

a=-16, b=150.

Therefore:

[Tex]t=-\frac{150}{2*-16}=4.6875[/tex]

The pumpkin reaches maximum height after 4.6875 seconds.

At t=4.6875

[Tex]h = -16(4.6875)^2 + 150(4.6875)+ 20\\=371.5625\approx 371.56 \:feet[/tex]

The pumpkin's maximum height is 371.56 feet.

Does the quadratic function y=-2x+3x^2+5 open upward or downward? Explain

Answers

Answer:

It would open upward.

Step-by-step explanation:

If you see on the equation, there is a positive (+) sign on the [tex]3x^2[/tex].  If you see the positive sign on anything that is squared, and it is asking for a quadratic function, then it will always open upward.  If you see a negative sign on anything that is squared, and is asking for a quadratic function, then it will open downward.

Answer:

Upwards

Step-by-step explanation:

The reason is this quadratic function has a positive coefficient which is 3. The reason 3 is the coefficient is that 3 is the one with the X with a square in it. if 3 would have been negative, well the answer would be the opposite.

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im really confused someone help please A 210-kg merry-go-round in the shape of a uniform, solid, horizontal disk of radius 1.50 m is set in motion by wrapping a rope about the rim of the disk and pulling on the rope. What constant force would have to be exerted on the rope to bring the merry-go-round from rest to an angular speed of 0.600 rev/s in 2.00 s Which must be true in order for the relationship ^zyx~^wvu to be correct Please help last question and I dont understand You want to create 14.0 g of copper to meld into a piece of jewelry. Youknow that when copper (II) chloride reacts with aluminum, copper is aproduct. How much aluminum would you need to start your reaction withto get 14.0 g of copper? *2Al + 3CuCl2 + 2AlCl3 + 3Cu In the United States government, the president has to obey the same laws as everyone else. This idea is best defined as A. majority rule. B. rule of law. C. democracy. D. popular sovereignty. Simplify:2(x2 + 5) 3(x + 1) + 3A)x2 3x + 10B)2x2 3x + 10C)2x2 3x + 10D)2x2 3x + 13 1. Expand to write an equivalent expression: +(-8.+ 12y) There are 100 applicants applying for three equal cosmetology positions. How many different groups ofthree can be selected to fill the positions? What decision must Kay Lonnie make?High school sophomores Mona and Kay Lonnie arehanging out at Mona's house on Saturday night. Theyfind a six-pack of beer in the basement refrigeratorMona, who is feeling bored, suggests that they drink acouple of the beers. Kay Lonnie has never had alcoholbefore. She feels uncomfortable and does not think thatshe wants to drink a beer. Furthermore, she signed apledge to her volleyball coach and her parents that shewould not drink or do drugs.What negative consequence should Kay Lonnie mostevaluate?IntroDone . A stadium sold 33,300 tickets to a concert. Which statement about this number is true? aThe value of the digit in the tens place is 10 times the value of the digit in the hundreds place. bThe value of the digit in the thousands place is 1/10 the value of the digit in the ten thousands place. cThe value of the digit in the hundreds place is 10 times the value of the digit in the thousands place. dThe value of the digit in the ten thousand place is 1/10 the value of the digit in the hundreds place. Insurance companies create a pool of funds to handle _____. I need help. I will give 100pts. Reese simplified this expression. What error did he make?(10m^(3)n^(5))/(5mn^(2))=(10(mn)^(8))/(5(mn)^(2))=2(mn)^(6)He did not make an error because 2(mn)6 is correct.He did not divide by 5mn2.He used a law of exponents on factors with different bases.He should have divided the exponents for a final answer of 2(mn)4. Marshall's office had already recycled 2 kilograms this year before starting the new recycling plan, and the new plan will have the office recycling 4 kilograms of paper each week. Write an equation that shows the relationship between the weeks w and the paper recycled p.Write your answer as an equation with p first, followed by an equals sign. The radius of a circle is 8 miles. What is the length of a 90 arc? write a respons that evaluates a group discussion What is the basic definition of a black hole? a. any compact mass that emits no light b. a dead star that has faded from view any object from which the escape velocity exceeds c. the speed of light any object made from dark matter d. a dead galactic nucleus that can only be viewed in infrared Tooth enamel is composed of hydroxyapatite, Ca5(PO4)3OH (Ksp = 6.8 10-37). Many water treatment plants add F- ion to drinking water, which reacts with Ca5(PO4)3OH to form the more tooth decay-resistant fluorapatite, Ca5(PO4)3F (Ksp = 1.0 10-60). Fluoridated water has resulted in a dramatic decrease in the number of cavities among children. Calculate the solubility of Ca5(PO4)3F in water. 12456787980-1234567890 Simplify: 3(y + 2)^2 5 + 6y