This is a two-part questionDave wants to buy a new collar for each of his three cats. The collars come in a choice of five different colors.How many selections of collars for the three cats are possible if repetitions of colors are allowed.Part 2: How many selections of collars are possible if repetitions of colors are not allowed

Given: A sphere with a radius of 4 ft.

Required: To determine the volume of the sphere.

Explanation: The volume of a sphere is given by the formula-

Substituting the value of the radius, r=4 into the formula as-

Further solving-

Final Answer: The volume is about 267.95 cubic feet.

Answer:

5-zero

4 - run

3- rise

I believe I can’t totally see but I could see most words thanks for reposting

Please mark brainliest hope this helps

Step-by-step explanation:

Let:

A = Unlock the table on the first try

a = Number of Possible right digits

N = Total number of possible digits

the probability the spy is able to unlock the tablet on his first try is:

The correct option is option number 2.

Solution

We are given the equation

Basically, in order to find the y - intercept, we only need to put x = 0

Therefore, the answer is

We have that the Medicare tax is 1.45% of gross pay, and the state tax is 1.5%. Then, if Hong Tang's gross weekly salary is $615, then::

therefore, from state tax and Medicare tax combined, Hong Tang gets deducted $18.14

Athe the triangles are similar to triangle ABC.

The area of a right triangle can be calculated as half the product of each leg length.

So, if the legs measure 4 cm and 3 cm, we have:

Therefore the triangle area is 6 cm².

Answer:

The volume of the cone is;

Explanation:

Given the cone with diameter 8 feet and height 5 feet;

The volume of cone can be calculated using the formula;

Substituting the given values;

Therefore, the volume of the cone is;

The total number of seats in the theatre are 1287.

Given that:-

Number of rows in the theatre = 22

Seats in 1st row = 27

Seats in 2nd row = 30

Seats in 3rd row = 33

and so on.

This is a question of Arithmetic Progression (AP).

Here,

First element = 27

Common difference = 3

Number of terms = 22

First we will find the number of seats in 22nd row.

Number of seats in 22nd row = 27 + (22-1)*3 = 27 + 21*3 = 27 + 63 = 90.

Now, we have to find,

27 + 30 + 33 + 36 + .... + 90

Hence, sum of the number of seats in all the rows = (22/2)(2*27 + (22-1)*3) = 11(54 + 21*3) = 11(54+63) = 11(117) = 1287.

To learn more about Common difference, here:-

https://brainly.com/question/28584885

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step 1

Find the hypotenuse of the right triangle

Applying Pythagorean Theorem

c^2=7^2+24^2

c^2=625

c=25 ft

therefore

the height is equal to

h=25+24=49 ft

Answer:

10 [tex]\frac{5}{42}[/tex] hours

Step-by-step explanation:

Rt + RT = 1

t([tex]\frac{1}{17}[/tex] + [tex]\frac{1}{25}[/tex]) = 1

T([tex]\frac{42}{425}[/tex]) = 1

T = [tex]\frac{425}{42}[/tex] = 10 [tex]\frac{5}{42}[/tex]

Remember that in a multiplication between two negative numbers the result always will be positive

(-10)(-2)=20

The result is 20

Answer:

20

Step-by-step explanation:

the product just means to multiply, so you do:

-10 x -2 = 20

The coordinates of the midpoint of the line segment are (-1, 1)

The coordinates of the endpoints of the line segment are:

(4, -2) and ( -6, 4)

That is x₁ = 4, y₁ = -2, x₂ = -6, y₂ = 4

The formulae for finding the coordinates the coordinates of the midpoint of a line given the endpoints are:

Substituting the necessary parameters into the equation:

Therefore, the coordinates of the midpoint of the line segment are (-1, 1)

The sample mean is X[bar]=$1500

The sample standard deviation is S=$100

The sample size is n=70

The data set has a bell shaped distribution

The empirical rule states that

The values $1400 and $1600 are within one standard deviation away from the mean:

X[bar]+S=$1500+$100=$1600

X[bar]-S=$1500-$100=$1400

Following the rule you can expect 68% of the sample to be between them.

Whats left to do is to calculate the 68% of the sample

Around 47.6 of the farms have values per acre are between $1400 and $1600

Answer:

The slope is [tex]\frac{3}{2}[/tex] or [tex]1.5[/tex]

Step-by-step explanation:

The slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]

Now, in this case, when you get tables, you could choose two coordinates.

So, for instance, you chose the coordinates: (2,3) and (6,9)

Since we have the two coordinates, we now could solve for the slope.

-

Substituting and finding the slope:

1) [tex]m =\frac{9-3}{6-2} \\[/tex]

2) [tex]m = \frac{6}{4} = \frac{3}{2}[/tex]

3) [tex]m = \frac{3}{2}[/tex] or [tex]1.5[/tex]

Let's plot the points (1,3) and (4, 6), as follows:

As you can see, we have:

x = 1, y = 3 as the first point we know.

x = 4, y = 6 as the second point we know.

We can replace y, with x + 2 (3 - 1 or 6 - 4),, therefore the equation of this line is:

x + 2 = y or x = y - 2 Any of these equations will solve the question A.

So,

Let "x" and "y" be the numbers that we're asking for.

As we know, one number is one more than the other, so we could write:

And,

Now, the equation that we could state is:

Given a principal of P and a depreciation rate of r %,

after n years the new amount A is given by

In this case,

Then, we have

Hence the cost brand new is $4169

EXPLANATION

If the last term of a trinomial is negative, then we know that the factors are of different sign, and if the last term is positive then the factors have the same sign.

The given logarithm expression is:

This can be re-written as:

Pascals triangle or Pascal's triangle is a special triangle that is named after Blaise Pascal, in this triangle, we start with 1 at the top, then 1s at both sides of the triangle until the end. The middle numbers are so filled that each number is the sum of the two numbers just above it.

Generally, we can use Pascals' triangle to find the coefficients of binomial expansion

For example, we want to expand

Using Pascal's triangle, we can get the coefficients of the expansion:

SOLUTION

The brain behind the Exterior Angle Theorem is that:

the sum of two interior angles is equal to the one exterior angle.

In this question, we have that : ( Z - 9 ) + Z = Z + 45

Z - 9 + Z = Z + 45

2 Z - 9 = Z + 45

collecting like terms, we have:

2 Z - Z = 45 + 9

Z = 54 degrees

CONCLUSION: The value of Z = 54 degrees

Let x represent the cost of each items for birthday party favors.

Given that she wants to by 10 items,

cost of 10 items = 10 * x = 10x

From the information given,

cost of delivery of the items = 5

Total cost of items = cost of 10 items + cost of delivery = 10x + 5

Given that she has $55 to spend and she can spend all of it,

the linear equation representing this scenario is

10x + 5 = 55

Subtract 5 from both

10x + 5 - 5 = 55 - 5

10x = 50

Diviiding both sides by 10,

10x/10 = 50/10

x = 5

Each favor can cost $5 in order to spend all of her $55

Answer: y = 2x/5 - 1

Explanation:

The equation of a line in the slope intercept form is expressed as

y = mx + c

where

m represents slope

c represents y intercept

The formula for calculating slope is expressed as

m = (y2 - y1)/(x2 - x1)

The given points are (0, -1) and (10, 3). thus,

x1 = 0, y1 = - 1

x2 = 10, y2 = 3

m = (3 - - 1)/(10 - 0) = (3 + 1)/10 = 4/10 = 2/5

By substituting m = 2/5 and c = - 1 into the slope intercept equation, the equation of the line is

y = 2x/5 - 1

We have the following:

when x = -4, replacing:

The answer is (-4, -10/3)

We have to solve this system by substitution.

This method let us define a varaible in function of the other (or others, if they are more than two) and then replace it in the other equations by this relation.

The system is:

1. From the first equation, we can easily define y in function as x:

2. Now, we substitute y in the second equation:

3. We got an equation that is expressed only in function of x, so we can solve it as:

4. If we replace x in the equation for y, we get:

5. Then, we can write the answer a s a pair (x,y) = (-3,-9)

We apply the formula : a^m : a^n = a^(m-n)

-> 3^4 : 3^9 = 3^(4-9) = 3^-5

Since we need the final answer with a positive exponent, 3^5.