HELP WROTH 15 points

Corinne will need 15 square hardwood tiles to completely cover her bedroom floor.

What is area of square?

Area of a square is (side × side) square unit.

Here to cover the entire floor, we need to determine how many square tiles with 1-foot side length can fit into the floor area.

The area of Corinne's bedroom floor is:

Area = length × breadth = 5 feet × 3 feet = 15 square feet

Each square tile has an area of area of one tile = side × side = 1 foot × 1 foot = 1 square foot.

So, the number of tiles required to cover the floor is number of tiles = Total area / Area of one tile

Number of tiles = 15 square feet / 1 square foot.

Number of tiles = 15

Therefore, Corinne will need 15 square hardwood tiles to completely cover her bedroom floor.

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Correct question is "A scale drawing of Corinne's bedroom floor whose length is 5 feet and breadth is 3 feet. All given dimensions are in feet, and all

intersecting line segments shown are perpendicular.Corinne wants to completely cover the floor with square hardwood tiles. Each tile has a side length of

1 foot, and no tiles will be cut. How many tiles will Corinne need to cover the floor?"

The given statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is False.

The union of two events A and B represents the event that at least one of the events A or B occurs. The probability of the union of two events can be calculated using the formula:

P(A or B) = P(A) + P(B) - P(A and B)

On the other hand, the intersection of two events A and B represents the event that both events A and B occur. The probability of the intersection of two events can be calculated using the formula:

P(A and B) = P(A) * P(B|A)

where P(B|A) is the conditional probability of B given that A has occurred.

It is possible for the probability of the union of two events to be greater than the probability of the intersection of two events if the two events are not mutually exclusive.

In this case, the probability of both events occurring together (the intersection) may be relatively small, while the probability of at least one of the events occurring (the union) may be relatively high.

In summary, the probability of the union of two events occurring can sometimes be greater than the probability of the intersection of two events occurring, depending on the relationship between the events.

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Mr. Chang's string will therefore be about 10 meter long rounded to nearest meter

The proportion of a circle's circumference to its diameter is denoted by the mathematical constant pi (). It cannot be written as a simple fraction since it is an irrational number. Pi is approximately equal to 3.141592, or 3.15.

We must first determine the circle's radius in order to determine the length of Mr. Chang's string.

C = 2πr, where C is the circle's circumference and r is its radius, is the formula for a circle's circumference.

Given that the circle's circumference is 31.4 meters, we can solve for r using the following method:

C = 2r 31.4

=2x3.14xr

= 31.4/(2x3.14)r

= 3.14/6.28r

r = 5

Thus, the circle's radius is roughly 5 meters.

The diameter of the circle, which is twice as long as its radius, will be equal to Mr. Chang's stake because it is in the center of the circle.

Mr. Chang's string will therefore be about 10 meter long rounded to nearest meter

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Answer:

Step-by-step explanation:

Right angled triangle. To find the missing side use Pythagorean theorem.

Base² + altitude² = hypotenuse²

7² + x² = 23.2²

49 + x² = 538.24

        x² = 538.24 - 49

        x² = 489.24

Take square root,

x =\(\sqrt{489.24}\)

x = 22.1 mm

Linear Pair of Angles: two angles that form a straight line - they are supplementary.A linear pair of angles refers to two adjacent angles that add up to 180 degrees.

It is important to note that the sum of the angles in a linear pair of angles will always equal 180 degrees. A linear pair of angles must be adjacent, meaning that they share a common vertex and a common side but no other interior points.

Linear pairs of angles can be used to solve problems involving complementary, supplementary, and vertical angles. Since they add up to 180 degrees, they are considered to be supplementary angles. This is because supplementary angles are two angles that add up to 180 degrees.

Therefore, a linear pair of angles is also supplementary because it contains two adjacent angles that add up to 180 degrees. In other words, if two angles form a straight line, then they are considered to be supplementary.

The use of linear pairs of angles is prevalent in geometry problems involving parallel lines, triangles, and polygons.

The concept of a linear pair of angles is also important in understanding the different types of angles, including acute, obtuse, and right angles. For instance, an acute angle can form a linear pair with an obtuse angle, while a right angle can only form a linear pair with another right angle.

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Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.

Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.

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Answer:

9.25x

Step-by-step explanation:

The volume of the second box is (100 - 40x) ft^3. To calculate the volume of each box, we need to multiply the dimensions of the box together.

First Box:

The dimensions of the first box are 5 ft, 2x ft, and 2 ft. Since the box does not have a top, we can assume the height is 2 ft.

Volume of the first box = Length * Width * Height

= 5 ft * 2x ft * 2 ft

= 20x ft^3

Therefore, the volume of the first box is 20x ft^3.

Second Box:

The dimensions of the second box are 5 ft, (5-2x) ft, and 2 ft. Again, assuming the height is 2 ft.

Volume of the second box = Length * Width * Height

= 5 ft * (5-2x) ft * 2 ft

= 20 ft * (5-2x) ft^2

= 100 - 40x ft^3

Therefore, the volume of the second box is (100 - 40x) ft^3.

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Step-by-step explanation:

the handrail is a line that intersects several other lines (the stands) that are parallel to each other.

the intersection angles must be the same for each of the parallel lines. otherwise they would not be parallel, as each parallel line imitates exactly the properties of the other parallel lines.

therefore,

angle 8 = angle 6 = 130°

angle 7 = angle 5.

for angle 5 and 7 we need to consider that the sum of all angles around a point on one side of a line is 180°, because that line stands for the diameter of an imaginary circle with that point as its center.

one side of the line represents then a half-circle = 180°.

so,

180 = 130 + angle 5

angle 5 = 50° = angle 7

The company earned 68 billion dollars from 2008 to 2018.

According to the statement

we have given that the company's particular sales in expression are represented by (t² + 10t + 68)

And we have to find the constant terms in this expression which represent the sale of the company.

So, The given expression is (t² + 10t + 68)

From above expression it is clear that the it is in the form of Quadratic Equations.

So, The Quadratic equation, is an equation containing a single variable of degree 2. Its general form is ax^2 + bx + c = 0, where x is the variable and a, b,c are the known numbers and C is the Constant.

The general representation of Quadratic equation is

ax^2 + bx + c = 0  -(1)

and the given expression are

(t² + 10t + 68)  -(2)

After comparing both equations

Here C =68 = Constant.

So, 68 is the Constant term of the expression represent in terms of the context.

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Disclaimer: The question was incomplete. Please find the full content below.

Question:

A particular company's net sales, in billions, from 2008 to 2018 can be modeled by the expression t2 + 10t + 68, where t is the number of years since the end of 2008. What does the constant term of the expression represent in terms of the context?

The company earned 68 billion dollars from 2008 to 2018.

The company earned 68 billion dollars in 2008.

The company earned 10 billion dollars from 2008 to 2018.

The company earned 10 billion dollars in 2008.

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Answer:

180 (I'm just realizing now that I didn't have to do all that work but here you go)

Step-by-step explanation:

18 + x + 4x - 3 = 180

5x + 15 = 180

     - 15      - 15

5x = 165

/ 5      / 5

x = 33

18 + x + 4x - 3 = 180

18 + 33 + 4 (33) - 3 = 180

51 + 132 - 3 = 180

180 = 180

Given that (u, v) = 3 and (v, w) = 2.To find the value of (v, w, + 3u), let's substitute the given values.

(v, w, + 3u) = (2, ?, + 3(3))(v, w, + 3u) = (2, ?, 9)(u, v) = 3, and (v, w) = 2∴ The value of (v, w, + 3u) = (2, ?, 9)Option E, 9 is the correct answer.Considering that (u, v) = 3 and (v, w) = 2.Substituting the provided numbers will allow us to determine the value of (v, w, + 3u).(v, w, + 3u) = (2, ?, + 3(3))(v, w, + 3u) = (2, ?, 9)(V, W) = 2, and (U, V) = 3. (V, W, + 3U) has the value (2,?, 9)The right response is option E, number 9.

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The value of expression  (v, w, + 3u) is 11, so correct option is C.

Given that (u, v) = 3 and (v, w) = 2.

To find: The value of (v, w, + 3u)

This formula shows how multiplication distributes over addition. It means that when you multiply a number by the sum of two other numbers, it is the same as multiplying the number individually by each of the two numbers and then adding the products together.

We have to apply the formula of distributivity of multiplication over addition:

(a + b) c = ac + bc

We know that 3u = u + u + u,

so substituting in (v, w, + 3u),

we get(v, w, + 3u) = (v, w) + (u + u + u)

Now, substituting the given values of (u, v) = 3 and (v, w) = 2

in the above equation(v, w, + 3u) = (2) + (3 + 3 + 3) = 2 + 9 = 11

Therefore, the value of (v, w, + 3u) is 11.

Hence, the correct option is (c) 11.

NOTE: We should always remember the formula of distributivity of multiplication over addition: (a + b) c = ac + bc.

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The solution to the equation 3x - 333x + 3 = 3 is x = 0.

To solve the equation 3x - 333x + 3 = 3, we can simplify it by combining like terms:

-330x + 3 = 3

Next, we isolate the variable by subtracting 3 from both sides:

-330x = 0

Now, we divide both sides by -330 to solve for x:

x = 0

Therefore, the solution to the equation 3x - 333x + 3 = 3 is x = 0.

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Answer:

No picture is displayed

There is no non-zero polynomial q(x) that satisfies the given congruence equation.To find a polynomial q(x) such that (a + bx)q(x) ≡ 1 (mod x^2 + 1), we need to find the inverse of (a + bx) modulo x^2 + 1.

Let's start by expanding the expression (a + bx)q(x) and setting it equal to 1:

(a + bx)q(x) = 1 (mod x^2 + 1)

Expanding the left side:

a^2 + 2abx + b^2x^2q(x) = 1 (mod x^2 + 1)

Next, let's rearrange the equation and group the terms with x^2:

b^2x^2q(x) + 2abx + (a^2 - 1) ≡ 0 (mod x^2 + 1)

To find the inverse of (a + bx) modulo x^2 + 1, we want to eliminate the term with x^2. Therefore, we need to set the coefficient of x^2 to 0.

b^2q(x) ≡ 0 (mod x^2 + 1)

From this equation, we can see that q(x) must be a multiple of x^2 + 1, which means q(x) = k(x^2 + 1) for some constant k.

Substituting q(x) = k(x^2 + 1) back into the rearranged equation, we get:

b^2k(x^2 + 1) + 2abx + (a^2 - 1) ≡ 0 (mod x^2 + 1)

Expanding and simplifying:

(b^2k)x^2 + (2ab)x + (b^2k + a^2 - 1) ≡ 0 (mod x^2 + 1)

To eliminate the x^2 term, we set the coefficient of x^2 equal to 0:

b^2k = 0

Since b^2 ≠ 0, this equation can only be satisfied if k = 0.

Therefore, the polynomial q(x) = 0 satisfies the equation (a + bx)q(x) ≡ 1 (mod x^2 + 1) over q.

In conclusion, there is no non-zero polynomial q(x) that satisfies the given congruence equation.

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The value of the given expression is 35 when M = 3 and N = 2.

The given expression is M³ + N³ for M = 3, N = 2.

Thus,

M³ + N³ = 3³ + 2³= 27 + 8= 35.

Therefore, the value of the given expression is 35 when M = 3 and N = 2.

The given expression is M³ + N³ for M = 3, N = 2.

Thus, M³ + N³ = 3³ + 2³ = 27 + 8 = 35.

Therefore, the value of the given expression is 35 when M = 3 and N = 2.

The sum of cubes formula for two numbers is a³ + b³ = (a + b)(a² – ab + b²).

The formula to calculate the sum of the cubes of two numbers is a³ + b³ = (a + b) (a² – ab + b²).

Thus, putting a = m and b = n, we can rewrite the given expression as: M³ + N³ = (M + N)(M² – MN + N²).

Substituting the values of M and N in the formula, we get:

M³ + N³ = (3 + 2) (3² – 3 × 2 + 2²)

= 5 × (9 – 6 + 4)

= 5 × 7

= 35.

Therefore, the value of the given expression is 35 when M = 3 and N = 2.

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Answer:

c = (d/n)-m

Step-by-step explanation:

divide n from c to get m+c=(d/n)

subtract m from m to get c=(d/n)-m

dont forget to put d over n

Answer:

i think it's 2 and 3

Step-by-step explanation:

2 + 3 =5

3 - 2 = 1

Answer:

3,2

Step-by-step explanation:

3+2=5

3-2=1

The firm's WACC given a tax rate of 32 percent is 7.86%.

The WACC (weighted average cost of capital) of the firm, given a tax rate of 32% can be calculated as follows;

Cost of Equity (Re) = 16%

Cost of preferred stock (Rp) = 6.5%

Pre-tax cost of debt (Rd) = 8.1%

Tax rate = 32%

Target capital structure = 41% common stock, 4% preferred stock, and 55% debt.

WACC = [(Re × E) / V] + [(Rp × P) / V] + [(Rd × D) / V × (1 - TC)]

Where;

E = market value of the firm's equity

P = market value of the firm's preferred stock

D = market value of the firm's debt

V = total market value of the firm's capital = E + P + D

The proportion of each component is;

E/V = 0.41P/V = 0.04D/V = 0.55

The cost of equity (Re) can be calculated using the CAPM (capital asset pricing model) equation;

Re = Rf + β × (Rm - Rf)

Where;

Rf = risk-free rate = 2.8%

Rm = market return = 10%

β = beta = 1.25

Re = 2.8% + 1.25 × (10% - 2.8%) = 2.8% + 1.25 × 7.2% = 2.8% + 9% = 11.8%

The cost of preferred stock (Rp) is given and remains 6.5%.

The after-tax cost of debt (Rd) can be calculated as follows;

Rd = pre-tax cost of debt × (1 - tax rate) = 8.1% × (1 - 0.32) = 8.1% × 0.68 = 5.508%

The total market value of the firm's capital (V) can be calculated as follows;

V = E + P + D

Assume that;

Total market value of equity (E) = $100,000

Market value per share of equity (Po) = $32

Market value of preferred stock (P) = $5,000

Market value of debt (D) = $95,000

The number of shares of equity (E) can be calculated as follows;

E = Po × number of shares outstanding

Number of shares outstanding = E / Po = $100,000 / $32 = 3,125 shares

Therefore;

E = Po × number of shares outstanding = $32 × 3,125 = $100,000

V = E + P + D = $100,000 + $5,000 + $95,000 = $200,000

Substituting the known values into the formula above gives;

WACC = [(Re × E) / V] + [(Rp × P) / V] + [(Rd × D) / V × (1 - TC)] = [(0.118 × $100,000) / $200,000] + [(0.065 × $5,000) / $200,000] + [(0.05508 × $95,000) / $200,000 × (1 - 0.32)] = (0.118 × 0.5) + (0.065 × 0.025) + (0.05508 × 0.475 × 0.68) = 0.059 + 0.001625 + 0.017995424 = 0.0786 or 7.86%

Therefore, the firm's WACC, given a tax rate of 32%, is 7.86%.

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Answer: x=68

Step-by-step explanation:

A. It’s asking what the last test must have to be (x) for all five tests to average out to an 80. This can be represent by:

(95+76+77+84+x)/5=80

The first four numbers are the existing test scores and x is the score you need. This is all divided by five so that you can find the average of all of these added together, which will equal 80, because that’s the grade you’re trying to get. Next, just solve for x:

= 95+76+77+84+x=80(5)

= 332+x=400

X=68

B. I got 74 for this one by using the same process as in part a, but I divided the left side by six and multiplied x by two: (95+76+77+84+2x)/6=80

But I’m not completely positive about this answer. A is definitely right though

Answer:

y=-2x+8

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (8, -8) and has a slope of -2

We can write this equation in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

Since we already know the slope of the line, we can immediately plug it into the equation as m:

y=-2x+b

Now we need to find b

As the equation of the line passes through the point (8, -8), we can use it to help solve for b, since (8, -8) is a solution to the equation, meaning that it will yield a true statement when plugged into the equation

So substitute 8 as x and -8 as y:

-8=-2(8)+b

Multiply

-8=-16+b

Add 16 to both sides

8=b

Now substitute 8 as b into the equation:

y=-2x+8

Hope this helps!

.Equation of line in point slope form

\(\\ \sf\longmapsto y-y_1=m(x-x_1)\)

\(\\ \sf\longmapsto y+8=-2(x-8)\)

\(\\ \sf\longmapsto y+8=-2x+16\)

\(\\ \sf\longmapsto 2x+y+8-16=0\)

\(\\ \sf\longmapsto 2x+y-8=0\)

Answer: 25%

Step-by-step explanation: 55 divided by 220 you get 0.25 move the decimal 2 places to the right. And you get 25% your welcome

Answer:

25%

Step-by-step explanation:

-_-

Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The same array can represent both multiplication and division because for multiplication you count all the dots in the array. For division you do the array backward. 81÷9= ?. For this problem you would draw out 9 dots, then adding rows you would count to 81. Once you got to 81, the amount of columns you have is your answer. So for that problem your answer is 9.

Answer:

i think the answer is -5

Step-by-step explanation:

===========================================

Work Shown:

Applying the law of cosines

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 8^2 + 5^2 - 2*8*5*cos(88)

c^2 = 64 + 25 - 80*cos(88)

c^2 = 86.2080403

c = sqrt(86.2080403)

c = 9.2848285

c = 9

Technically he needs 10 meters of rope because of the extra 0.28 portion, but I'll stick with 9 meters since your teacher said to round to the nearest whole number.

Answer: 3.33

Step-by-step explanation: hope this helps

Answer:

3.33

Step-by-step explanation: