need help with 19 and 20 ASAP please

The cube root function is a function of the form f(x) = ∛x. It is an odd function that maps real numbers to real numbers. The domain and range of a cube root function are as follows :Domain: The domain of a cube root function is the set of all real numbers (R).

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Answer:

$63.00

Step-by-step explanation:

$200.00× 0.045=9

9×7=63

The probability that either event A or event B will occur is 2/3.

The probability that either event A or event B will occur can be calculated using the formula P(A or B) = P(A) + P(B) - P(A and B). This formula accounts for the possibility of both events A and B occurring simultaneously.

When we add the probabilities of event A and event B individually (P(A) + P(B)), we are counting the cases where both events occur twice. To avoid this double counting, we subtract the probability of both events occurring together (P(A and B)).

This can be understood through a simple example. Let's say we have two events: event A is rolling an even number on a fair six-sided die, and event B is rolling a number less than 4 on the same die.

The probability of event A occurring is P(A) = 3/6 = 1/2 (since three out of six numbers are even).

The probability of event B occurring is P(B) = 3/6 = 1/2 (since three out of six numbers are less than 4).

If we simply add P(A) + P(B) without accounting for the possibility of both events occurring together, we would get 1/2 + 1/2 = 1, which is incorrect. The correct probability should be less than 1 since events A and B are not mutually exclusive.

To calculate the correct probability, we need to determine the probability of both events occurring together, which is the probability of rolling an even number less than 4. In this case, the probability of event A and event B occurring simultaneously is P(A and B) = 1/6 (since only the number 2 satisfies both conditions).

Using the formula P(A or B) = P(A) + P(B) - P(A and B), we have P(A or B) = 1/2 + 1/2 - 1/6 = 2/3.

Therefore, the probability that either event A or event B will occur is 2/3, not simply the sum of the individual probabilities.

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Answer:

Basically it is asking you to multiply f(n) and g(n).

Step-by-step explanation:

(f.g)(n)=(2n^2-3)(n-3)

=2n^3-6n^2-3n+9

The probability that a customer will not have to wait upon arriving at the automatic teller machine is 0.78 (rounded to 2 decimal points).

To compute the probability that a customer will not have to wait upon arriving at the automatic teller machine, we need to determine the arrival rate and the service rate.

Customers arrive at a rate of one every other minute. This means the arrival rate (λ) is 1 customer per 2 minutes, or λ = 1/2 customers per minute.

Each customer spends an average of 90 seconds completing their transaction. This means the service rate (μ) is 1 customer per 90 seconds, or μ = 1/90 customers per second.

To calculate the probability that a customer will not have to wait, we can use the M/M/1 queueing model, where M represents the exponential distribution for both arrivals and service.

The formula for the probability that the system is in the empty state (no customers in the system) is given by:

P0 = 1 - (λ/μ)

Substituting the values:

P0 = 1 - (1/2) / (1/90)

P0 = 1 - (45/2)

P0 = 1 - 22.5

P0 = 0.775

Therefore, the probability that a customer will not have to wait upon arriving at the automatic teller machine is 0.78 (rounded to 2 decimal points).

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Answer:

your answer should be 1,435.11 u think

Answer: -276.2 ft.

Step-by-step explanation: He descended 91 x 4.5 which is -409.5 ft. But since she goes up 43 x 3.1 which is 133.3 ft, -409.5 + 133.3 = -276.2 ft.

Hope this helps! :)

The area of the cross-section of the sphere with a volume of approximately 5575.3 m³ is approximately 330.29 m².

To find the area of the cross-section of a sphere, we need the radius of the sphere. However, given only the volume of the sphere (approximately 5575.3 m³), we cannot directly determine the radius.

The volume of a sphere is calculated using the formula:

V = (4/3) * π * r³,

where V is the volume and r is the radius of the sphere.

To find the radius, we can rearrange the formula:

r = ((3 * V) / (4 * π))^(1/3).

Substituting the given volume into the formula, we have:

r = ((3 * 5575.3) / (4 * π))^(1/3).

Using the value of π as approximately 3.14159, we can calculate the radius:

r ≈ ((3 * 5575.3) / (4 * 3.14159))^(1/3) ≈ 10.25 m.

Now that we have the radius (approximately 10.25 m), we can calculate the area of the cross-section of the sphere.

The formula for the area of a cross-section of a sphere is:

A = π * r².

Substituting the radius we found, we have:

A = π * (10.25)² ≈ 330.29 m².

The area of the cross-section of the sphere with a volume of approximately 5575.3 m³ is approximately 330.29 m².

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a) False - Diagonalizable matrices can have repeated eigenvalues.

b) True - Linear transformations always map the zero vector to the zero vector.

c) True - The kernel of a linear transformation is a vector space.

d) False - The nullity of a matrix A does not necessarily equal the nullity of A transpose.

e) True - If the vectors V₁, V₂, ..., V form a basis for the vector space V, then dim(V) = n, where n is the number of vectors in the basis.

f) True - If Ax = 4x, then 4 is an eigenvalue of A.

g) False - The set {(1,2), (-2,4), (0,5)} is linearly independent, not linearly dependent.

h) True - The dimension of a subspace W is always less than or equal to the dimension of the vector space V containing it.

a) The statement is false. A diagonalizable matrix can have repeated eigenvalues. The number of distinct eigenvalues is not necessarily equal to the size of the matrix.

b) The statement is true. For any linear transformation T, it must map the zero vector to the zero vector.

c) The statement is true. The kernel of a linear transformation is defined as the set of all vectors that map to the zero vector under the transformation. This set always contains the zero vector and is closed under addition and scalar multiplication, satisfying the properties of a vector space.

d) The statement is false. The nullity of a matrix A is the dimension of the kernel of A, while the nullity of A¹ (the transpose of A) is the dimension of the kernel of A¹. These dimensions can be different.

e) The statement is true. If the span of a set of vectors V₁, V₂,..., V is equal to the whole vector space V, then the dimension of V is equal to the number of vectors in the set.

f) The statement is true. If A is a matrix and Ax = 4x, then 4 is an eigenvalue of A corresponding to the eigenvector x.

g) The statement is true. The set {(1,2), (-2,4), (0,5)} is linearly dependent because there exist scalars, not all zero, such that a(1,2) + b(-2,4) + c(0,5) = (0,0), where a, b, and c are scalars.

h) The statement is true. The dimension of a subspace W is always less than or equal to the dimension of the vector space V it is a subspace.

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Answer:

[tex]x=-2\quad \mathrm{or}\quad \:x=2[/tex]

Step-by-step explanation:

[tex]|4x + 2| = x + 8 \\\\\mathrm{For\:each\:absolute\:find\:positive\:and\:negative\:intervals}\\\\\mathrm{Solve\:the\:inequality\:for\:each\:interval:}\\\\\mathrm{For\:}x<-\frac{1}{2}:\quad x=-2\\\\\mathrm{For\:}x\ge \:-\frac{1}{2}:\quad x=2\\\\\mathrm{Combine\:Solutions:}\\\\x=-2\quad \mathrm{or}\quad \:x=2[/tex]

Answer:

x = 2

y = 3

z = -2

Step-by-step explanation:

Answer:

Given -

To find -

Solution -

From the second law of motion i.e., F = MA

→ F = 3.5 × 2.2

→ 7.7 kg ms-²

Therefore, the external net force exerted on papaya is 7.7 kg m/s².

We have that  the external net force exerted is

F=7.7N

From the question we are told

the external net force exerted on a 3.5 kg papaya, which is being pushed across a table and has an acceleration of 2.2 m /s² to the left​

Generally the equation for the Force   is mathematically given as

[tex]F=ma\\\\Therefore\\\\\F=3.5*2.2\\\\F=7.7N[/tex]

Therefore

The external net force exerted is

F=7.7N

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Answer:

The answer is D 11/3

Step-by-step explanation:

We've found the monomial if the expression is the square of that monomial, which is [tex]0.0001a^(8)x^(4).[/tex]

A monomial is defined as an expression in which all of the terms are multiplied by constants, variables, or both, with no additions or subtractions.

Let's begin by writing the given expression as the square of a monomial.

[tex]0.0001a^(8)x^(4) = (a^(n/2) * x^(m/2))^2[/tex]

We can extract the square root of the expression to get the original monomial:

[tex]sqrt(0.0001a^(8)x^(4)) = sqrt(a^(8/2) * x^(4/2))0.01ax^2[/tex]

is the required monomial.

The process of finding the square of a monomial is known as squaring a monomial.

It entails taking a monomial and squaring each of its terms.

A monomial is a polynomial with one term.

We can extract the square root of an expression to get the original monomial if the expression is the square of a monomial.

The formula for the square of a monomial is as follows:

[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]

If we square a binomial, we use the FOIL method to get the expansion:

[tex](a + b)^2 = a^2 + ab + ba + b^2\\ = a^2 + 2ab + b^2[/tex]

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The two-column proof shown above should be completed with the following reasons:

In Mathematics and Geometry, a midpoint is a point that lies exactly at the middle of two other end points that are located on a straight line segment.

In this context, we can prove that triangle MNO is congruent with triangle QPO by completing the two-column proof shown above with the following reasons:

Statements                                Reasons

1. PQ║MN                                     Given

2. O is the midpoint of Np           Given

3. NO ≅ OP                               Definition of midpoint

4. ∠MON ≅ ∠QOP                    Vertical angles theorem

5. ∠NMO ≅ ∠PQO                    CPCTC

6. ΔMNO ≅ ΔQPO                    SAS congruence postulate

In conclusion, SAS is an abbreviation for side, angle, side while CPCTC is an abbreviation for corresponding parts of congruent triangles are congruent.

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Company A will charge more than Company B for mileages greater than 70/(0.60 - 0.80) = 350 miles.

To determine the mileages for which Company A charges more than Company B, we need to compare the cost functions of the two companies. Let C_A(m) represent the cost for Company A and C_B(m) represent the cost for Company B.

For Company A, the cost function is C_A(m) = 0.80m, as there is no initial fee and they charge 80 cents per mile driven.

For Company B, the cost function is C_B(m) = 70 + 0.60m, as there is an initial fee of $70 and an additional 60 cents per mile driven.

To find the mileage at which Company A charges more than Company B, we set the two cost functions equal to each other and solve for m:

0.80m = 70 + 0.60m

0.80m - 0.60m = 70

0.20m = 70

m = 70 / 0.20

m = 350

Therefore, for mileages greater than 350 miles, Company A will charge more than Company B.

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Answer: 64

Explanation: All of the numbers are quite close to one another. The number farthest apart from them all would be 64 with a difference of 15. Also, it's visibly shown how there are the 20s, 30s, and 40s, but it skips quickly to the 60s.

I hope this helped!

Good luck <3

Answer:

0.8

Step-by-step explanation:

6.403 divided by 8 equals 0.800375, so that rounded to the nearest tenth would be 0.8.

Answer:

0

Step-by-step explanation:

Answer:

O f(x) = -x-1

Step-by-step explanation:

We want to isolate the 'y' variable, so we will subtract 7 from both sides.

y = x + 6 - 7

y = x -1

The value of linear function represents the line given by the point-slope equation y + 7 = (x + 6) is,

⇒ y = x - 1

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

the point-slope equation is,

y + 7=(x + 6)

Hence, We get;

y + 7=(x + 6)

y = x + 6 - 7

y = x - 1

Thus, The value of linear function represents the line given by the point-slope equation y + 7 = (x + 6) is,

⇒ y = x - 1

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Gross Profit Margin (GPM) is a metric used to calculate the percentage of gross profit earned by a business on its sales. The gross profit is calculated as revenue minus cost of goods sold (COGS), and the formula for gross profit margin is:(Gross Profit ÷ Revenue) x 100%.

The gross profit margin reveals the percentage of sales that turn into gross profit. A company with a higher gross profit margin has a better chance of generating a good profit than one with a lower gross profit margin. The gross profit margin formula allows companies to determine how much revenue is remaining to cover operating expenses and net profit. In computing gross profit margin, the following steps should be taken:

First, calculate gross profit as follows: Revenue - Cost of Goods Sold (COGS) = Gross Profit.

Then, use this formula to compute gross profit margin: Gross Profit ÷ Revenue x 100%.

The gross profit margin is an important ratio used to assess a company's profitability. It is important because it reflects the percentage of sales that contribute to covering operating expenses and generating net profits. A higher gross profit margin ratio indicates that a company is earning enough on sales to cover its operating expenses and generate profits.However, one of the major drawbacks of using gross profit margin as a profitability metric is that it does not account for operating expenses. This is why it is important to calculate other profitability metrics, such as operating profit margin, to gain a complete picture of a company's profitability.It is also important to compare gross profit margins over time and with industry averages to determine how a company is performing relative to its peers. A declining gross profit margin may indicate increasing costs, pricing pressures, or a shift in product mix. Conversely, an increasing gross profit margin may suggest that the company has a competitive advantage, pricing power, or is reducing its costs.

In summary, the gross profit margin measures the percentage of revenue that contributes to gross profit. A higher gross profit margin indicates that a company is earning enough on sales to cover its operating expenses and generate profits. However, it is important to compare gross profit margins over time and with industry averages to determine how a company is performing relative to its peers. Finally, it is important to use other profitability metrics, such as operating profit margin, to gain a complete picture of a company's profitability.

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Answer:

101/8 or 12.625 or 12 5/8

Step-by-step explanation:

These are all the same you can just write it however you'd like.

Hope this helps.

The ticket price that would give the greatest income for the Drama Club is $4.

Let x be the number of $1 increase in ticket price and y be the number of people who would attend the Franklin High School Drama Club’s winter play.

The formula for the number of people who would attend for each $1 increase in ticket price is:

y = -20x + 300

The formula for the income of the Drama Club is:

I = (300 - 20x)(8 + x)

I = 2400 - 160x + 300x - 20x²

I = -20x² + 140x + 2400

I = -20(x² - 7x - 120)

To maximize the income of the Drama Club, we need to find the vertex of the quadratic equation.

We can use the formula:

x = -b/2a

where a = -20 and b = 140.

Therefore:

x = -140/2(-20)

= 3.5

Since we can't have a half-dollar increment, the nearest increment is $1.

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Answer:

Even

Step-by-step explanation:

Let x be any real number,

We know that the cubes of odd and even numbers are odds and evens respectively....

Hence,

If x was odd then,

[tex]f(Odd)=(Odd)^3+Odd\\f(Odd)=Odd+Odd\\f(Odd)= Even[/tex]

If x was even then,

[tex]f(even)=(even)^3+even\\f(even)=even+even\\f(even)=even[/tex]

The row space of a matrix A is the subspace spanned by the row vectors of A. It represents all possible linear combinations of the row vectors of A. The matrix A is the subspace spanned by the column vectors of A.

To find a basis for the row space of matrix A, we can perform row operations to reduce the matrix to row-echelon form. The nonzero rows of the row-echelon form of A will form a basis for the row space of A. These row vectors are not necessarily the same as the row vectors of A.

To find a basis for the row space of A that are row vectors of A, we can observe the nonzero rows of the original matrix A itself. These row vectors, without any row operations, will form a basis for the row space of A.

In the case of matrix A = [1 2 -1; 3 -8 7; -2 5 -3], we need to perform row operations to reduce the matrix to row-echelon form and identify the nonzero rows. The resulting nonzero rows will form the basis for the row space of A.

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Answer:

it's 9/25

Step-by-step explanation:

This is a short answer, just taking up space

Answer:

0

Step-by-step explanation:

ΔX/ΔY=0

ΔX=-3-2=-5

ΔY=-3--3=0

Answer:

  T/V = P/(nR)

Step-by-step explanation:

You want to find T/V from the equation PV = nRT.

T is in the numerator of the ratio you want. V is on the other side of the equation from T, so you can put V in the denominator by dividing both sides of the equation by V:

  [tex]P=\dfrac{nRT}{V}[/tex]

Now, you can get the ratio T/V by itself by dividing by its coefficient:

  [tex]\dfrac{P}{nR}=\dfrac{T}{V}[/tex]

Swapping sides gives you the relation you want:

  [tex]\boxed{\dfrac{T}{V}=\dfrac{P}{nR}}[/tex]

__

Additional comment

Isolating variables and solving equations using the properties of equality should be familiar processes.

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Given: The radius of a sphere is increasing at a constant rate of 2 inches per minute. At the instant when the radius of the sphere is 9 inches,

We need to find the rate of change of volume.

Using the formula of the volume of the sphere:

V = (4/3)πr³Where V is the volume and r is the radius.

Now differentiate it with respect to time t on both sides to find the rate of change of volume.

dV/dt = d/dt[(4/3)πr³]

dV/dt = 4πr²(dr/dt)Put the given values in the above formula and solve for dV/dt.

r = 9 inches, dr/dt = 2 inches/minute

So, dV/dt = 4πr²(dr/dt)dV/dt

= 4π(9²)(2)

cubic inches/minute

Therefore, the rate of change of the volume of the sphere is 1017.87 cubic inches/minute (approx.).

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The length of the longest side of a similar triangle whose perimeter is 90 would be 39 units.

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

We are given that  lengths of the sides of a triangle are 5, 12, and 13.

The perimeter is 90.

Thus, the sum of sides of triangle are;

5x + 12x + 13x = 90

30x = 90

x =90/30

x = 3

Therefore, the longest side is 13x  that will be;

13 (3) = 39 units.

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Answer:

I dont see any numbers?