The rationale for adding back the _______________________________________________________ relates to attaining consistency in the numerator and denominator of ROA.

Answer:

the local library raised money by having a used book Rebecca volunteered to help. her task was to stick price labels on each of the 198 books on a bookshelf in 5 minutes Rebecca labeled 18 books at this rate what was the total number of minutes rebecca needed to label all 198 books

Answer:

5/2 or 2.5

Step-by-step explanation:

Divide both sides by 2.

Answer:

0.07

Step-by-step explanation:

7/100

Answer:

it would be .07 i believe

Answer:

B = 1/2

A = 1/3

D = 2/3

C = 5/6

Step-by-step explanation:

B = 3/6 = 1/2

A = 2/6 = 1/3

D = 4/6 = 2/3

C = 5/6

One factor of 30 is 1. One multiple of 30 is 60. Multiples of a number are obtained by multiplying that number by any whole number. Therefore, when we multiply 30 by 2, we get 60, which is a multiple of 30.

One component of 30 is a number that partitions uniformly into 30 without leaving a remaining portion. For this situation, 1 is a variable of 30 since it separates 30 precisely.

One numerous of 30 is a number that can be gotten by duplicating 30 by another entire number. Products of a number are boundless, yet for giving a model, we should consider 60 as a numerous of 30. At the point when we duplicate 30 by 2, we get 60, and that implies 60 is a numerous of 30.

Along these lines, one component of 30 is 1, and one numerous of 30 is 60.

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Answer:

Ivanna bought 36 yards of ribbon

Step-by-step explanation:

you are easily find my answer correct by timing 14 by 36 and adding the answer to the remaining dollars on the debit card to get the original amount on the debit card.

Two stockpots are similar cylinders. The smaller stockpot has a height of 10 inches and a radius of 2.5 inches, the volume of larger one is 628.32 cubic inches.

We know that, to find volume:

Volume = π * \(r^2\) * h

For the smaller stockpot:

Radius (r) = 2.5 inches

Height (h) = 10 inches

Volume = π * (2.5)² * 10 ≈ 196.35 cubic inches

For the larger stockpot:

Radius (r) = 2.5 inches

Height (h) = 16 inches

Volume = π * (2.5)² * 16

             ≈ 628.32 cubic inches

Thus, the volume of larger one is 628.32 cubic inches.

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it is vital that we first find the gradient/slope between the points .

⇒\(m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} } \\m=\frac{2-(-2)}{0-2} \\m=\frac{4}{-2} \\m=-2\)

The general equation of a straight line is given by y=mx+c I will use the points (0,2) to find the value of y since the other variables are found already.

\(2=-2(0)+c\\\\c=2\)

⇒This tells us that the equation of the line is y=-2x+2

Answer:

She/He is right it's C. Tysm!

The correct answer is:

A) −12d−15 (None of the options provided are equivalent to the given expression.)

To simplify the expression −4(3d−2)−7, we can apply the distributive property by multiplying -4 to each term inside the parentheses:

−4(3d−2)−7 = -4 * 3d + (-4) * (-2) - 7

This gives us:

-12d + 8 - 7

Combining like terms:

-12d + 1

So the expression is equivalent to -12d + 1.

Therefore, the correct answer is:

A) −12d−15 (None of the options provided are equivalent to the given expression.)

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The correct options for the intersecting line EF are-

For the given question;

Line EF intersects the lines AB and DC,

Where, AB = DC

Thus, from the given figure it is shown that;

Thus, the statement true about the given diagram are found.

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Answer:

-16079 1/3

Step-by-step explanation:

Answer:

d) 189.3 in²

Step-by-step explanation:

Area of rectangle is,

→ w × l

→ 10 × 15

→ 150 in²

Area of semi circle is,

→ (1/2)πr²

→ (1/2) × 3.14 × (5)²

→ 1.57 × 25

→ 39.3 in²

Now the total area will be,

→ 150 + 39

→ 189.3 in²

Thus, total area is 189.3 in².

The simplification of the expression (-4x^2-5x-1)(4x^2-6x-2) is -2(8x⁴-6x³+12x²+8x+1)

Simplifying an expression is just another way to say solving a math problem. When you simplify an expression, you're basically trying to write it in the simplest way possible. At the end, there shouldn't be any more adding, subtracting, multiplying, or dividing left to do.

The expression (-4x^2-5x-1)(4x^2-6x-2) can be simplified by opening the parentheses

(-4x^2-5x-1)(4x^2-6x-2) = -16x⁴+24x³+8x²-20x³+30x²+10x-4x²+6x+2

collect like terms

-16x⁴+24x³-20x³+8x²+30x²-4x²+10x+6x+2

= -16x⁴+ 12x³+ 24x²+16x+2

= -2(8x⁴-6x³+12x²+8x+1)

therefore simplifying (-4x^2-5x-1)(4x^2-6x-2) gives -2(8x⁴-6x³+12x²+8x+1)

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Answer:

164 lbs.

Step-by-step explanation:

1 lb = 0.0714 stone

so, 164 × 0.0714 = 11.7 stone

Therefore, Ms Bertoli's weight is 164 lbs.

Answer: x = 50

Step-by-step explanation:

In the given image, the alternate interior angles are equal. Therefore, 80 + x = 180 - 50 (since straight angles measure 180 degrees). Simplifying this equation, we get 130 + x = 180, which gives us x = 50 degrees. Thus, A||B when x = 50 degrees.

Answer:

1. Y = -4/3

2. 2x = 2y + 10

Step-by-step explanation:

1.  y =− 2y − 4

Step 1: Add 2y to both sides.

y + 2y = −2y − 4 + 2y

3y = −4

Step 2: Divide both sides by 3.

3y/3 = -4/3

y = -4/3

2.  solve for x

y=1/2x-5

Step 1: Flip the equation.

1/2x−5=y

Step 2: Add 5 to both sides.

1/2x−5+5=y+5

1/2x=y+5

Step 3: Divide both sides by 1/2.

1/2x/1/2=y+5/1/2

x=2y+10

not sure if this will help but here you go :)

Answer:

(L-6)(L+2)

Step-by-step explanation:

Let L be the length of the flower garden.

Then the width will be L-4.

The area of the flower garden = L*(L-4) =L²-4L

The area of the birdbath is 3*4 = 12 ft²

The area of the remaining space for planting is

= Area of flower garden - area of birdbath

We can factor the expression as follows:

taking common frome each two terms

Therefore, the number of feet left for planting is (L-6)(L+2) in factored form.

Answer:

-3, 9

Step-by-step explanation:

The constant is 4.

Answer:  see table below

Step-by-step explanation:

Simply add the digit on the left to the digit on the top

1, 2 --> 1 + 2 = 3

3, 4 --> 3 + 4 = 7

4, 2 --> 4 + 2 = 6

6, 6 --> 6 + 6 = 12

\(\begin{array}{c|c|c|c}&\underline{\quad 2\quad }&\underline{\quad 4\quad }&\underline{\quad 6\quad }\\\underline{\quad 1 \quad}&\bold{\underline{\quad 3\quad}}&\underline{\quad 5\quad}&\underline{\quad 7\quad}\\\underline{\quad 2 \quad}&\underline{\quad 4\quad }&\underline{\quad 6\quad }&\underline{\quad 8\quad}\\\underline{\quad 3 \quad}&\underline{\quad 5\quad }&\bold{\underline{\quad 7\quad}}&\underline{\quad 9\quad}\\\end{array}\)

\(\begin{array}{c|c|c|c}{\underline{\quad 4 \quad}&\bold{\underline{\quad 6\quad }}&\underline{\quad 8\quad }&\underline{\quad 10\quad }\\\underline{\quad 5 \quad}&\underline{\quad 7\quad}&\underline{\quad 9\quad}&\underline{\quad 11\quad}\\\underline{\quad 6 \quad}&\underline{\quad 8\quad }&\underline{\quad 10\quad }&\bold{\underline{\quad 12\quad}}\\\end{array}\)

Answer: infinite

Step-by-step explanation: since they have the same slope and y interscept it is a coincident line and has infinite solutions

y= 4-x

y= 4-x

Answer:

infinitely many

Step-by-step explanation:

when you simplify, you get the following two equations:

y=-x+4

y=-x+4

those two equations are the same, therefore it is many

Answer:

so 2x+3x+130=180

so 5x+130=180

5x=50

so 2x =20

3x which is angle a is equal to 30 degree

Answer:

The measure of angle A is 30 degrees.

Step-by-step explanation:

Since all triangles are equal to 180 degrees, you take set up an equation where u add 2x and 3x to get 5x and u add that to 130 and set it equal to 180

2x+3x+130=180 ( combine like terms)

5x=50 (subtract 130 from both sides to isolate our variable which is x)

x=10 (divide both sides by 5 to get rid completly isolate our variable)

Now we know x=10 you can plug that in as our x value so 3x becomes 3*10 which equals 30 which is your answer.

Answer:

There is No solution to this problem

To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

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The negations of the given statements with the application of De Morgan's law and/or conditional law.

a) ∃x (¬P(x) ∨ ¬R(x))

De Morgan's law:

∃y ∀z(¬P(y) ∧ ¬Q(z))

b) ∃y ∀z(¬P(y) ∧ ¬Q(z))

The double negation:

∃y ¬∃z(P(y) ∨ Q(z))

c) ¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

The conditional law:

¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

Let's form the negation of the given statements and apply De Morgan's law and/or conditional law, when applicable:

a) ∀x (P(x) ∧ R(x))

The negation of this statement is:

∃x ¬(P(x) ∧ R(x))

Now let's apply De Morgan's law:

∃x (¬P(x) ∨ ¬R(x))

b) ∀y∃z(¬P(y) → Q(z))

The negation of this statement is:

∃y ¬∃z(¬P(y) → Q(z))

Using the conditional law, we can rewrite the negation as:

∃y ¬∃z(¬¬P(y) ∨ Q(z))

c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

The negation of this statement is:

¬∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

Using the conditional law, we can rewrite the negation as:

¬∃x (P(x) ∨ (∀z (R(z) ∨ ¬Q(z))))

Applying De Morgan's law:

¬∃x (P(x) ∨ (∀z ¬(¬R(z) ∧ Q(z))))

Simplifying the double negation:

¬∃x (P(x) ∨ (∀z ¬(R(z) ∧ Q(z))))

Using De Morgan's law again:

¬∃x (P(x) ∨ (∀z (¬R(z) ∨ ¬Q(z))))

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Since the domain is restricted to one side of the axis of symmetry of the full graph of f(x), an inverse does exist.

Letting \(f(x)=y\),

\(x=y^2 +y-6\\\\x=\left(y+\frac{1}{2} \right)^2 -\frac{25}{4}\\\\x+\frac{25}{4}=\left(y+\frac{1}{2} \right)^2\)

Since the domain is restricted to the right hand side of the axis of symmetry, and since the range of the inverse is the same as the domain of the original function, we take the positive square root.

\(\sqrt{x+\frac{25}{4}}=y+\frac{1}{2}\\\\y=f^{-1}(x)=\sqrt{x+\frac{25}{4}}-\frac{1}{2}\)

The domain of the inverse is the range of the original function, which is \(\left[-\frac{25}{4}, \infty \right)\).

The range of the inverse is the domain of the original function, which is \(\left[-\frac{1}{2}, \infty)\),

Answer:

4\(y^{\frac{3}{2} }\)

Step-by-step explanation:

using the rule of exponents/ radicals

\(\sqrt[n]{a^{m} }\) = \(a^{\frac{m}{n} }\)

then

4 \(\sqrt{y^{3} }\)

= 4\(y^{\frac{3}{2} }\)

Answer:

The Pythagorean theorem states that a2 + b2 = c2 in a right triangle where c is the longest side. You can use this equation to figure out the length of one side if you have the lengths of the other two.

To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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