3/8 = 15/a can someone please explain the steps for me? I have 2 hws due today and Idk how to do this​

Answer: 15 + b

Step-by-step explanation:

15 is being increased by b and b could be any number so the expression will be  15 + b . Increase means is going up so you will be adding b.

Answer

QR= PQ= PR

18x+1= 24x-17

18x-24x= -17-1

-6x= -18

x= 3

QR= 24(3)-17= 55

PQ= 18(3)+1= 55

PR= 15(3)+10=55

Answer:

The value of x is 3. The length of PQ, QR and PR are 55.

Step-by-step explanation:

Given that the lengths in an equilateral triangle are all the same. We can assume that PQ = QR = PR. So we can choose any 2 lengths and compare it :

\(PQ = QR\)

\(18x + 1 = 24x - 17\)

\(1 + 17 = 24x - 18x\)

\(6x = 18\)

\(x = 18 \div 6\)

\(x = 3\)

Next, we have to substitute x = 3 into the expressions :

\(PQ = 18(3) + 1 = 55\)

\(QR = 24(3) - 17 = 55\)

\(PR = 15(3) + 10 = 55\)

the terms through degree 4 of the Maclaurin series of f(x) are 4x - 4x³ + 8x⁵ - 8x⁷ + 4x² - 4x⁴ + 4x⁶

To find the Maclaurin series of the function f(x) = 4sin(x) / (1 - x), we can expand it as a power series by expressing the function as a sum of terms through degree 4.

Let's start by finding the Maclaurin series for sin(x) and then substitute it into the given function:

1. Maclaurin series for sin(x):

sin(x) = x - (x³ / 3!) + (x⁵ / 5!) - (x⁷ / 7!) + ...

Now, substitute this series into f(x):

f(x) = 4 * (x - (x³ / 3!) + (x⁵ / 5!) - (x⁷ / 7!) + ...) / (1 - x)

Expanding the numerator of the fraction:

f(x) = 4x - (4 * x³ / 3!) + (4 * x⁵ / 5!) - (4 * x⁷ / 7!) + ...

Next, divide each term by (1 - x) using long division or synthetic division:

          4x³ - 16x⁴ + 56x⁵ - 176x⁶ + ...

        _______________________________________

(1 - x) | 4x - 4x³ + 8x⁵ - 8x⁷ + ...

        - (4x - 4x² + 8x⁴ - 8x⁶ + ... )

        --------------------------------------

                     -4x² + 4x⁴ - 4x⁶ + ...

Repeat the division process until reaching the desired degree.

The terms through degree 4 of the Maclaurin series of f(x) = 4sin(x) / (1 - x) are:

4x - 4x³ + 8x⁵ - 8x⁷ + 4x² - 4x⁴ + 4x⁶ + ...

Therefore, the terms through degree 4 of the Maclaurin series of f(x) are 4x - 4x³ + 8x⁵ - 8x⁷ + 4x² - 4x⁴ + 4x⁶

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Answer:

f(2) = 10

Step-by-step explanation:

Simply just plug in 2 into the equation

f(2) = 3(2)² - 2

f(2) = 3(4) - 2

f(2) = 12 - 2

f(2) = 10

And we have our final answer!

Answer:

answer is 10

Step-by-step explanation:

All you do is replace x with 2 in the equation and solve. f(x)= 3(2^2)-2 , 3(4)-2 , 12-2 , f(x)=10

The derivative y' is  x³ 6² cosh¹2x . 3x² 6² sinh(2x) / (x³ cosh(2x))= 3x 6² sinh(2x) / cosh(2x)

(i) Find the derivative y',

y = (x² + 1) arctan x - x

The given function is:y = (x² + 1) arctan x - x

To find the derivative of y with respect to x, use the following steps:

Find the derivative of the first term, (x² + 1) arctan x by applying the product rule. Then, find the derivative of the second term, -x, by applying the power rule.

Add the results to find y'.y = (x² + 1) arctan x - x

Let's find the derivative of the first term, (x² + 1) arctan x:Let u = (x² + 1) and v = arctan x

Differentiate u to get du/dx:du/dx = 2x

Differentiate v to get dv/dx:dv/dx = 1 / (1 + x²)

Using the product rule, find the derivative of the first term:d/dx (u.v) = u . dv/dx + v . du/dx= (x² + 1) . 1 / (1 + x²) + 2x . arctan x

Now, let's find the derivative of the second term: d/dx (-x) = -1

Therefore, the derivative of y with respect to x is:y' = (x² + 1) . 1 / (1 + x²) + 2x . arctan x - 1(ii)

(ii) Find the derivative y', given: y = sinh(2rlogr)

The given function is:y = sinh(2rlogr)

To find the derivative of y with respect to r, use the chain rule. Let's apply the chain rule, where y' represents the derivative of y with respect to r:y = sinh(2rlogr) = sinh(u)where u = 2rlogr

Then, find the derivative of u with respect to r:du/dx = 2logr + 2r / rdu/dx = 2logr + 2r

Then, find the derivative of y with respect to u:dy/du = cosh(u)

Now, using the chain rule, we can find y' as follows:y' = dy/dx = dy/du . du/dx= cosh(u) . (2logr + 2r)

Therefore, the derivative of y with respect to r is:y' = 2r cosh(2rlogr) + 2 log r . sinh(2rlogr)(b)

b) Find y' if y = x³ 6² cosh¹2x using logarithmic differentiation

The given function is:y = x³ 6² cosh¹2xWe can take the natural logarithm of both sides to make it easier to differentiate:ln y = ln(x³ 6² cosh¹2x)

Let's find the derivative of both sides with respect to x:dy/dx . 1 / y = d/dx ln(x³ 6² cosh¹2x)

Apply the power rule to find the derivative of the natural logarithm:d/dx ln(x³ 6² cosh¹2x) = 1 / (x³ 6² cosh¹2x) . d/dx (x³ 6² cosh¹2x) = 1 / (x³ 6² cosh¹2x) . (3x² 6² sinh(2x) / cosh(2x))= 3x² 6² sinh(2x) / (x³ cosh(2x))

Therefore, the derivative of y with respect to x is given by:dy/dx = y . 3x² 6² sinh(2x) / (x³ cosh(2x))

Substitute y = x³ 6² cosh¹2x:y'

y'= x³ 6² cosh¹2x . 3x² 6² sinh(2x) / (x³ cosh(2x))= 3x 6² sinh(2x) / cosh(2x)

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Answer:

f=1

Step-by-step explanation:

first you add 2+3 then you multiply by 8 and you get 40. to get f by itself you subtract the 24 from the left side to be left with 16f=16. You then divide and get f=1

Answer: 75.2

Step-by-step explanation:

Well, if it isn't the most confusing question ever.

First of all, what is P?

I'll assume its the perimeter...

2*(1.2*2)+4*(8.8*2)

Or

2*2.4+4*17.6

75.2

Answer:

7

Step-by-step explanation:

5 1/4=21/4, 21/4÷3/4=7

Answer:

(-4,1)(-4,1)

Step-by-step explanation:

Answer:

(-4,1)(-4,1)

Step-by-step explanation:

because its right

Answer:

we have

Remember that

Multiply by  both sides

Simplify

The formula to solve a quadratic equation of the form  is equal to

in this problem we have

so

substitute in the formula

therefore

the answer is the option

x = negative 4 over 3 and x = 5

Answer: If you are asking what the line is called then its a line segment

Step-by-step explanation: I don't know if this is what you are asking but if it is then yeah.

A z-score of z = 2.00 indicates a position in a distribution that is located two standard deviation above the mean.

In statistics, a z-score represents the number of standard deviations an observation or data point is away from the mean of a distribution. It is a measure of how far a particular value deviates from the average value in terms of standard deviation units.

A z-score of 2.00 indicates that the observation is two standard deviations above the mean. This means that the value is relatively high compared to the average value in the distribution. It suggests that the observation is relatively rare or extreme, as it is located in the upper tail of the distribution.

To better understand the position of the z-score in the distribution, we can refer to the standard normal distribution, also known as the Z-distribution. In the standard normal distribution, the mean is 0 and the standard deviation is 1. A z-score of 2.00 corresponds to a point that is two standard deviations above the mean.

The standard normal distribution is symmetric, bell-shaped, and follows a specific pattern. Approximately 95% of the data falls within two standard deviations from the mean in a normal distribution. Therefore, if the data follows a normal distribution, a z-score of 2.00 indicates that the observation is in the top 2.5% of the distribution.

In practical terms, if we have a dataset with a known mean and standard deviation, and we find a data point with a z-score of 2.00, it suggests that the value is relatively high compared to the average and is considered statistically significant or unusual.

It's important to note that the interpretation of a z-score may vary depending on the specific context and the characteristics of the dataset. Additionally, z-scores are useful for comparing observations across different distributions or standardizing data to a common scale.

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Answer:Mai is moving faster

Step-by-step explanation:

Speed is given as  = Distance / Time

Mai's speed  = 50 / 6=   8.333 m/s

Priya's speed = 22 /10  =  2.2 m/s

Since Mai is  moving at 8.333 meter per second compared to Priya who s moving at 2.2 meter per second , We can say Mai is moving faster

The stationing of the end of the excavation is Station 2+080.

The volume of fill by end area method is 1440 cubic meters.

The volume of excavation by end area is 1080 cubic meters.

We have,

The stationing of the end of excavation can be determined by adding the given sections to the starting station.

Assuming the starting station is Station 2+020, the end of excavation would be at Station 2+080 (given as Station 2+020 + 60 meters).

To find the volume of fill by end area method, we need to calculate the area of the end section and multiply it by the distance between the start and end stations.

Given that the base for fill is 12 meters and the sideslope for fill is 2:1, the area of the end section can be calculated as follows:

Area of end section = (Base for fill) * (Sideslope for fill)

Area of end section = 12 * (2/1) = 24 square meters

Now, multiply the area of the end section by the distance between the start and end stations (60 meters) to find the volume of fill:

Volume of fill = Area of end section * Distance

Volume of fill = 24 * 60 = 1440 cubic meters

Therefore, the volume of fill by end area method is 1440 cubic meters.

Similarly, to compute the volume of excavation by end area, we calculate the area of the end section (base for cut * sideslope for cut) and multiply it by the distance between the start and end stations. Given that the base for cut is 12 meters and the sideslope for cut is 1.5:1, the area of the end section can be calculated as follows:

Area of end section = (Base for cut) * (Sideslope for cut)

Area of end section = 12 * (1.5/1) = 18 square meters

Multiply the area of the end section by the distance between the start and end stations (60 meters) to find the volume of excavation:

Volume of excavation = Area of end section * Distance

Volume of excavation = 18 * 60 = 1080 cubic meters

Therefore, the volume of excavation by end area is 1080 cubic meters.

Thus,

The stationing of the end of the excavation is Station 2+080.

The volume of fill by end area method is 1440 cubic meters.

The volume of excavation by end area is 1080 cubic meters.

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Answer:

$2,400

Step-by-step explanation:

Brendon Walsh wants to borrow the sum of $40,000 from the bank

The interest rate is 6%

The term is 5 years

Therefore the yearly payment amount can be calculated as follows

= 40,000 × 5 × 6/100

= 40,000 × 5 × 0.06

= 12000/5

= $2,400

Hence the yearly payment is $2,400

Answer: B

Step-by-step explanation:

 In the systems of equation it already gives you the solution for x  which is -2 so all you have to do is substitute -2 into the first equation and solve for y.

y= 2/3x + 3    

x= -2

Substitute x for -2

y = \(\frac{2}{3}* \frac{-2}1} + 3\)  

y= \(\frac{-4}{3}\) + \(\frac{3}{1}\)    

y = \(\frac{5}{3}\)  

so now you have the solution like this \((-2,\frac{5}{3})\)

Range provides a precise measurement of variability for both sets of data since it compares the greatest and lowest values in a dataset.

A histogram is a graph that shows how a dataset is distributed. In a dataset, it is a technique to show the frequency of various values or ranges of values. In a histogram, the y-axis normally indicates the frequency or count of the values, while the x-axis often shows the values or ranges of values. Each of the bins that the data is separated into is represented by a bar. Its height is equal to the quantity of observations included in that bin. The distribution of data is shown using histograms, which are also used to spot anomalies and spot patterns or trends in the data.

Range provides a precise measurement of variability for both sets of data since it compares the greatest and lowest values in a dataset. It is a helpful measure of variability for evaluating the constancy of temperature between Desert Landing and Flower Town since it is unaffected by skewness or symmetry.

Hence, range is used.

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The complete question is:

Part A

Coordinates before dilation

A = (-2, 4)

B = (-2, 3)

C = (-4, 3)

Coordinates after dilation with a scale factor of 2

A' = (-4, 8)

B' = (-4, 6)

C' = (-8, 6)

Part B

Coordinates after a reflection over the y-axis

Coordinates of triangle ABC after a reflection over the y-axis by negating the x-axis.

A' = (2, -4)

B' = (2, -3)

C' = (4, -3)

Answer:

7 2/3

Step-by-step explanation:

Answer:

23/4 + 23/12

Step-by-step explanation:

Multipy 5 by 4 and then add it to 3/4

Add 12 to 11/12

Answer:

x=$7

Step-by-step explanation:

The total cost of bill is $32, $11 is from a plate of corn tacos. And there are 3 purchased burrito bowls at a cost of $x each.

$32 (total bill)

-$11 (tacos)

=$21

$21 / 3 (burrito bowls)

=$7

x or the cost of each burrito bowl is $7

The median of the data is 39.

To find the median of the data, we need to arrange the values in ascending order and determine the middle value.

The given stemplot is: 9 37 41 39

When we arrange the values in ascending order, we get: 9, 37, 39, 41

Since there are four values in total, the middle two values are 37 and 39. To find the median, we take the average of these two values.

Median = (37 + 39) / 2

= 76 / 2

= 38

Therefore, the median of the data is 39.

The median of the given data set, based on the stemplot is 39.

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Answer

88.6 cm

Step-by-step explanation:

Answer:

4/10

Step-by-step explanation:

4:10

as there are 4 circles, and 10 total (6 + 4)

simplify by diving by 2.

therefore the answer is,

2:5

(I guess, this could be simplified further, but it wouldn't be a whole number).

Using the hsd test qcrit = 3.65  

HSD testis used to check differences among sample way for significance. The Tukey's HSD assessments all pairwise variations at the same time as controlling the probability of making one or greater type I errors.

A Tukey-Kramer test lets us check the null speculation of no distinction between the population approach for all pairs of businesses. The Tukey-Kramer check (also known as a Tukey sincere importance test, or Tukey HSD), is carried out in R inside the function.

solution

given;

   using HSD test, the degree of freedom = 16

                                                         and α=0. 05

                                                         groups = 3

                         Hence,                    Qcrit = 3.65    {using HSD table}

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Answer: 32 Times

Step-by-step explanation:

4 * 4 * 2 = 32

Answer: 32

Step-by-step explanation:

4*4=16

16*2=32

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