-12y^3 (2xy) Fully simplify

Prolific will bike 2 miles to get to the mechanic at the 6th gas station if the pattern continues.

Assuming the rate remains constant, we can use the equation d = rt, where d is the distance, r is the rate, and t is the time. In this case, we want to find the equation to determine the distance of the Nth gas station.

Let's analyze the given information:

The first gas station is 1.5 miles away.

From the second gas station onwards, each gas station is located at a distance 0.1 miles greater than the previous one.

Based on this pattern, we can write the equation for the distance of the Nth gas station as follows:

d = 1.5 + 0.1(N - 1)

B. To find the distance Prolific will bike to get to the 6th gas station, we can substitute N = 6 into the equation from part A:

d = 1.5 + 0.1(6 - 1)

= 1.5 + 0.1(5)

= 1.5 + 0.5

= 2 miles

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Answer:

KM=60°

Step-by-step explanation:

The average of arc LN and arc KM is equal to 110.

\(\frac{160+KM}{2} =110\)

160+KM=220

KM=60

Total price paid by Michael for the basket of mangoes is $4.48.

For the calculation of total price, price of sales tax will be added with selling price. Forming the equation -

Total price = 4 + 12%×4

Calculating the percentage of sales tax on Right Hand Side of the equation

Total price = 4 + 12×4/100

Solving the percentage part on Right Hand Side of the equation

Total price = 4 + 0.48

Performing addition on Right Hand Side of the equation

Total price = $4.48

Hence, Michael has to pay $4.48 after addition of sales tax for the basket of mangoes.

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0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations

To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.

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A function that satisfies the condition of having its square plus the square of its derivative equal to 1 is given by f(x) = sin(x).

The function f(x) = sin(x) has the property that its square, sin^2(x), is equal to 1 when added to the square of its derivative, \($\frac{d}{dx}\sin(x))^2 = \cos^2(x)$\).

This can be seen by directly evaluating the expression: \(sin^{2}(x) + cos^{2}(x) = 1\), which is a fundamental identity in trigonometry.

The sine function is periodic with a period of 2π, and its derivative, cosine function, also has the same period. This means that for any x, the function sin(x) and its derivative cos(x) will satisfy the given condition.

Geometrically, the sine function represents the y-coordinate of a point on the unit circle as the corresponding angle is varied. Its derivative, the cosine function, represents the rate of change of this y-coordinate with respect to the angle. The squares of the sine and cosine functions add up to 1, which is the square of the radius of the unit circle. This property is fundamental in trigonometry.

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Generally, a quotient of polynomials is decomposed into at least two partial fractions.

Any valid quotient of polynomials may be broken down into its component parts. When the degree of the numerator is lower than the degree of the denominator, a function is considered to be properly rational. Expressing a valid rational function as the sum of smaller fractions with certain denominators is the first step in breaking it down into partial fractions.

This decomposition can be helpful in a variety of mathematical situations, such as when solving equations involving rational functions or integrals. The denominator's factors determine the partial fractions' form. In particular, the rational function may be broken down into partial fractions with denominators matching to those factors if the denominator of the correct rational function can be factored into linear and/or quadratic irreducible components.

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Answer:

+5

Step-by-step explanation:

Imagine (or draw) a right triangle with acute angles at the vertices (1, 1) and (5, 4).  The horizontal leg of this triangle has length (5 - 1), or 4, and the vertical leg has length (4 - 1), or 3.  Applying the Pythagorean Theorem:

(distance between these two points) = sqrt(3^2 + 4^2) = +sqrt(25) = +5

The sampling technique used in each study is as follows: (a) convenience sampling, (b) systematic sampling, and (c) stratified random sampling.

(a) In the first study, where a journalist goes to a campground to ask people about their feelings regarding air pollution, the sampling technique used is convenience sampling. This is evident because the journalist approaches individuals who are readily available and easily accessible at the campground. However, convenience sampling may introduce bias as it does not ensure a representative sample of the population.

(b) In the second study, where every tenth machine part is selected from an assembly line for measurement, the sampling technique used is systematic sampling. Systematic sampling involves selecting every nth element from a population after establishing a sampling interval. In this case, every tenth machine part is selected to ensure a systematic and unbiased approach to quality assurance.

(c) In the third study, where attitudes about smoking are studied at a college and students are divided by class and then randomly sampled from each class for interviews, the sampling technique used is stratified random sampling. Stratified random sampling involves dividing the population into homogeneous subgroups (strata) and then randomly selecting samples from each subgroup. By dividing the students into different class strata and randomly selecting samples from each class, this study aims to ensure representation from each class in the final sample.

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Answer:

368 square meter

Step-by-step explanation:

just guessing

Answer:368

I got it right

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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The series [infinity] xn n! n = 0 converges for all real values of x.

The given series [infinity] xn n! n = 0 is a power series with terms xn n! n. To determine the values of x for which the series converges, we can use the ratio test.

The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges. Let's apply the ratio test to the given series:

lim┬(n→∞)⁡〖|(x(n+1)(n+1)!)/(xn n!)|〗

Simplifying the expression:

lim┬(n→∞)⁡〖|(x(n+1))/(xn)| * 1/(n+1)|〗

As n approaches infinity, the ratio x(n+1)/xn approaches x/x = 1. Additionally, the term 1/(n+1) approaches 0. Therefore, the limit simplifies to:

lim┬(n→∞)⁡〖|1 * 0| = 0|〗

Since the limit is less than 1, the ratio test confirms that the given series converges for all real values of x.

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Answer:

2/5 is the simplest form.

Step-by-step explanation:

9/10 - 5/10 = 4/10 (9 - 5 = 4) 4/10 simplified is 2/5 (divide both 4 and 10 by 2 and you get 2/5).

Hope that helps!

Answer: s sports team because what i was thinking is that the band has a lot of kids so there for there gonna put that kid on the sports team or if the kid likes sports or if the kid likes band.

Step-by-step explanation:

Answer:

Step-by-step explanation:

use ratio and proportion:

5 miles  =    x miles

8 km            22.3 km

8(x) = 22.3 (5)

x = 111.5 / 8

x = 13.94 miles

Distance = rate x time

Distance = 17.25 x 200

Distance = 3,450 miles

Answer: the answer is 3450

Step-by-step explanation:

Answer:
C=12
A=24

B=3
D=6

Step-by-step explanation:
so group A is half of the pie which means 48/2 , so group A is 24

and it says that the number of pupils in group B to the number of pupils in group D is 1:2

A/C=C/D= B/D = 1/2
24/C=1/2
c=12

since A/C=C/D= B/D = 1/2
and C=12, then

C/D=1/2
12/D=1/2
D=6

and B/D=1/2
while D is equal to 6 then,
B/6=1/2
B=3

That means there are 24 boys in group A, and there are 3 boys in group B and 12 girls in C, and 6 girls in group D.

hope it helped:)

Answer:

10.56

Step-by-step explanation:

51°F − 32) × 5/9 = 10.56°C

Answer:

10.56°C

Step-by-step explanation:

Hope this helps!

Answer:

x = 16

Step-by-step explanation:

90 = x+8+66

x = 90-74

x = 16

Answer:

16

Step-by-step explanation:

:D

Answer:

13

Step-by-step explanation: If each glass can hold 1 liter than 13 glasses can hold 13 liters.

Answer:

40meters per minutes

Step-by-step explanation:

Answer:

40m/min

Step-by-step explanation:

200m/5min

40m/min

Hope this helps!

Answer:

Step-by-step explanation:

60+20=80

Answer:

Step-by-step explanation:

sorry but i,m not sure

I hope this can help you out some

Answer:

5  \(\frac{3}{4}\)    

Step-by-step explanation:

2 \(\frac{1}{2}\) + 3 \(\frac{1}{4}\)

= (2 + 3) + \(\frac{1}{2} + \frac{1}{4}\)    Here we add the two whole numbers first

= 5 +  \(\frac{1}{2} + \frac{1}{4}\)

= 5 + \(\frac{2}{4} +\frac{1}{4}\)      Here you bring the two fractions to a common denominator     and to to this you find the highest common factor of the denominators.

= 5 + \(\frac{3}{4}\)       Here we added 1/4 and 2/4

= 5  \(\frac{3}{4}\)    This is the answer simply add 5 and 3/4

HOPE THIS HELPED

Answer:

Step-by-step explanation:

Your answer is 5 3/4

Answer:

6 minutes

Step-by-step explanation:

The copy machine can print 720 copies every 6 minutes. which is determined by the ratio of printing.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

We have been given that the copy machine can print 480 copies every 4 minutes.

Let time would be x when copy machine can print 720 copies

According to the given question, we can write the ratio as

480 copies : 4 minutes = 720 copies : x minutes

⇒ 480 / 4 = 720 / x

⇒ 120 = 720 / x

Apply the cross-multiplication operation,

⇒ x = 720 / 120

Apply the division operation,

⇒ x = 6

Therefore, the copy machine can print 720 copies every 6 minutes.

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Answer:

C

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(i)

∠ AOB is a straight line , straight angle = 180°

(ii)

∠ ZOB = c = 23°

(iii)

∠ XOY = b = 33°

(iv)

∠ AOY = a + b = 74° + 33° = 107°

(v)

∠ YOZ = x = 180° - (a + b + c)

                 = 180° - (74 + 33 + 23)°

                 = 180° - 130°

                 = 50°

Answer:

the last one

Answer:

the answer is c

Step-by-step explanation: