Perform the indicated operations and simplify the result so there are no quotients.

Answer:

$60,125

Explanation:

We'll use the below formula to determine how much Devin will pay altogether;

where A = final amount = ?

P = principal amount = $2600

r = interest rate in decimal = 8.75/100 = 0.0875

t = time in years = 15 years

Substituting the given values into our formula and solving for A, we'll have;

Therefore, Devin will pay $60,125 altogether.

Given the expression:

To determine an equivalent expression, the first step is to open the bracket.

Therefore:

The given equation is,

The equation can be solved as,

Thus, the requried value of p is 15.N

According to the given graph, the angles are linear pairs because they are on a straight angle, so the must sum 180°. Having said that, we express the following.-

We reduce like terms

Then, we subtract 10 on each side.

At last, we divide the equation by 5.

We use this value to find the angles.

the point W is positioned 3 units to the right (the x-coordinate is 3) and 2 units down (the y-coordinate is -2), thus the coordinates of W are (3,-2)

| 7 3 2|

8 2 7

6 8 5

7(10 - 56) - 3(40 - 42) + 2(64 - 12)

7(-46) - 3(-2) + 2( 52)

-322 + 6 + 104

= -212

Answer:

Step-by-step explanation:

Problem N 4

we have the function

Interval (-2,2)

using a graphing tool

Local minimum value at (1,-1)

Local maximum value at (0.37,-0.65)

Intervals (-1.37,0.37) U (1, infinite)

Intervals (-infinite, -1.37) U (0.37,1)

25

1) Let's evaluate this expression making use of one exponent property:

2) Note that negative exponents reciprocate the base.

3) Hence, the answer is 25

We know that in our model 3 inches represent 4 m, to determine how tall the building is with the knowledge that the model is 84 in we can use a rule of three:

then:

Therefore, the building is 112 meters tall.

Since F represents the number of five point questions and t represents the number of two point questions, and the total amount of questions is 50, then:

F correct answers would give us 5F points, and t correct answers would give us 2t points, for a total of 130 points. Then:

As given by the question

There are given that the equations:

Now,

According to the given question,

The correct matching values are;

Using the secant-secant theorem,

[tex]m\angle FRT=\frac{140^{\circ}-50^{\circ}}{2}=\boxed{45^{\circ}}[/tex]

Answer: 45 degrees

Step-by-step explanation:

Using the secant-secant theorem

Given:

The price of a bottle of French perfume, found by multiplying

the unit price of the perfume in euros per milliliter by the volume of the bottle in milliliters.

the unit of the unit price is: euros per milliliter

And the unit of the volume is: milliliters

By multiplying the two units: the unit of the result will be euros

Explanation:

Multiply 68.22 by 1.2 to get 81.864 or $81.86

Oce we have the factors, we must equal each factor to zero, then we solve for x to find the zeroes of the equation.

Ex.

(x - 3)(x + 2) = 0

the factors are (x - 3) and (x + 2)

Equal to zero

x - 3 = 0 x + 2 = 0

Solve for x

x = 3 x = -2 and these are the zeroes of the

equation.

Answer:

To find de ceros you can take each factor and use the 0 product property, then you solve to find the value of the cero.

Related with the picture and your question, you should notice that an element is not contained in a set, that in your case is the plane B, when any of its points is outside of this one.

Then by the picture we could notice that the line q is not contained at the plane B, because the point G is inside q but it is not in B.

The score that cutt off the middle 50 percent of all scores is 43.2

For a normal distribution, the normal value is the mean

It divides the curve in 50%-50%

Mean score, μ = 43.2

Standard Deviation, σ = 8.6

P(X≤a)=0.5

Use Z =(X-μ)/δ ~N(0;1)

b =(a-μ)/σ

P(Z≤b)=0.5

The value is b=0 (the mean for Z)

a=(b*σ)+μ

a=(0*8.6)+43.2

a=43.2

Therefore, the score that cutt off the middle 50 percent of all scores is 43.2

According to the binomial distribution, there is a 0.128 = 12.8% chance that it will take her precisely 3 pushes to start the mower.

It has a 20% chance of starting on any given pull, therefore

Item

a:This probability is P(X = 0) when n = 2, multiplied by 0.2, which is the probability that it starts on the third, and it is that it doesn't start on the first two. Hence:

It has a 0.128 = 12.8% chance that she starts the mower with exactly 3 pulls.

Item b:When n = 10, this probability is none on the first 10 and is hence P(X = 0):

Her chances of needing more than 10 pushes to start the mower are 0.1074, or 10.74%.

It has a 0.128 = 12.8% chance that she starts the mower with exactly 3 pulls.

Item b:On the first, there is no chance in this.

learn more about this theorem click here:

brainly.com/question/24863377

#SPJ1

The conversion rate for a gallon to quart is given as

This means that to get the number of quarts in a given measure in gallons, we multiply the number by 4.

The question asks us to convert 15 gallons to quarts.

This can be calculated as

Therefore,

Considering the following:

a) 1/4 chance that you will be the team member who gets supplies tomorrow

b) A 25% chance of snow tomorrow

c) A 0.8 probability of eating vegetables with dinner

d) P(blue marble) = 5/8

e) A 0.10 probability that it will be 85º on Saturday

Then:

1/4 =0.25 and 25% represents the same amount

A 0.8 probability is equivalent to 80% of probability of eating vegetables.

P (blue marble) = 5/8 5: 8 =0.625 what is equivalent to 62.5 if we multiply it by 100

And Finally 0.10 probability is a probability of 10% of 85ºF on Saturday

Placing all this values on a line by increasing order

Roughly sketched.

Remember that Probability is always represented within an interval between 0 and 1

Since both triangles are congruent, the proportion between their sides is the same, so we can write:

x = 23

Answer:

x = 23

We have the following system of equations:

Solving by substitution method.

If we substitute equation A into equation B, we get

since 5(-4)= -20, we have

If we move -20 to the right hand side as +20, we obtain

since -16+20=20-16 = 4, we get

and finally, y is equal to

Since equation A tells us that x=-4, the solution of the system is

Given:

There are given that the inequality graph.

Explanation:

In the given question, there are given number line graphs, in which the arrow has been shown in a negative direction.

Also,

There are given that the number 2 has not been included in the given graph.

So,

The inequality will be:

Final answer:

Hence, the inequality is shown below:

Explanation:

We can see that the points are mapped as:

Therefore the coordinates of each point change to its opposite.

Answer:

The rule is:

B. (x, y) → (-x, -y)

Hello there. To solve this question, we'll have to remember some properties about inverse trigonometric functions.

Given the expression:

We want to express it as an algebraic function of x.

For this, imagine the following triangle:

Now, we find the missing leg of the triangle applying Pythagoras theorem:

Now, finding the sine and cosine of the angles alpha and beta, we get:

First, remember the sine of an angle is equal to the ratio between the opposite side to the angle and the hypotenuse of the triangle. The cosine of the same angle is equal to the ratio between the adjacent side to the angle and the hypotenuse of the triangle.

Therefore, we have:

This means that:

Now, the expression we had earlier turns into:

For this, we'll use the angle sum formula:

Which gives us:

Plugging the results we got earlier, this is simply:

As x > 0, because we're using it as a triangle side (but it could be negative considering inverse sine and cosine as functions), we get:

Given:

P(s) = 29%

P(t) = 49%

For us to be able to determine P(S or T), we will be using the following formula:

We get,

Therefore, the answer is CHOICE A: 78%

Regular tessellations use identical regular polygons to fill the plane. The polygons must line up vertex to vertex, edge to edge, leaving no gaps.

Semi-regular tessellations have two properties:

• They are formed by two or more types of regular polygon, each with the same side length

• Each vertex has the same pattern of polygons around it.

There are 8 semi-regular tessellations in total. We know each is correct because again, the internal angle of these shapes add up to 360.

For example, for triangles and squares, 60 × 3 + 90 × 2 = 360.

(credited)

If we have that the pool is currently 3/4 full, we need to multiply this fraction by the total the small pool can hold. That is (with no units):

Therefore, the pool currently has 54.735 gallons (3/4 of its total capacity) (we multiply 3 times 72.5, and then we divide this result by 4).

ANSWERS

a. 863.08 ft²

b. 474 ft²

c. 249 ft²

d. $4,259.24

EXPLANATION

Given:

• Rooms with ,carpet,: Family room and living room

• Rooms with ,hardwood,: kitchen and foyer

• Rooms with ,tiles,: breakfast nook and mudroom

• Cost ,carpet,: $1.80 per square foot

• Cost ,hardwood,: $4.50 per square foot

• Cost ,tiles,: $2.30 per square foot

First, we have to find the area of each of the mentioned rooms,

a. The family room is in the shape of a square whose sides are all 20 feet and a semicircle whose diameter is 20 feet. The area of the family room is the sum of the areas of each of these figures,

As shown above, the area of the semicircle is half the area of the full circle with the same diameter. Solve,

The living room is in the shape of a rectangle with side lengths 15ft and 22ft, but a right triangle is cut out from the corner. The area of the living room is the area of the mentioned rectangle minus the area of the triangle of the corner,

The side lengths of the triangle are 15ft - 9ft = 6ft and 22ft - 14ft = 8ft. The area of the triangle is,

So, the area of the living room is,

The area that Rachel wants to cover with a new carpet is,

Hence, the area to be covered with carpet is 863.08 ft².

b. The kitchen is a rectangle with dimensions 24 ft and 15 ft, so its area is,

The foyer is in the shape of a rectangle with dimensions 10ft and 15ft. However, assuming that the stairs won't be covered with hardwood and that they cover that part of the foyer's floor, to find the area we have to subtract the area the stairs occupy in that room.

The rectangle where the stairs are has dimensions 9ft and (10ft - 6ft ) = 4ft. The area of the Foyer is,

The area Rachel wants to be covered by hardwood is the sum of the two,

Hence, the area to be covered with hardwood is 474 ft².

c. The mudroom is in the shape of a rectangle with dimensions 15 ft and 7 ft, so its area is,

The breakfast nook is in the shape of a trapezoid, where the height is 8ft and the lengths of the bases are 24ft and 12ft. Its area is,

The area Rachel wants to cover with tiles is the sum of these two areas,

Hence, the area to be covered with tiles is 249 ft².

d. Finally, we have to find the cost of flooring with each material,

The total cost of the project is the sum of the three,

Hence, the total cost of the re-flooring project will be $4,259.24.