2/3 x 12 =
3 of 20 =
10/9 x 21 =
please solve all three

Answer:

83.333% or 0.83333

Explanation:

Base on the given conditions, formulate:

\(\dfrac{1}{2} \div\dfrac{3}{5}\)

Write as a single fraction:

\(\dfrac{\dfrac{1}{2\times3} }{5}\)

Calculate the product or quotient:

\(\dfrac{\dfrac{1}{6} }{5}\)

Divide a fraction by multiplying its reciprocal:

\(\dfrac{5}{6}\)

get the result: 83.333% or 0.83333

Answer: 83.333% or 0.83333

A and B have the same elements, the measure of AUB will be equal to the measure of B.

To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
  - By definition, a null set has a measure of 0.
  - Since m*(A) = 0, it implies that A has no elements or its measure is 0.
  - Therefore, A is a null set.
2. If A is a null set, then AUB = B:
  - Since A is a null set, it means that it has no elements or its measure is 0.
  - In set theory, the union of a null set (A) with any set (B) results in B.
  - Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
  - Since AUB = B, it implies that both sets have the same elements.
  - The measure of a set is defined as the sum of the measures of its individual elements.
  - Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
  - Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).

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To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.

To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.

However, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.

Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.

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The percentage markup and the profit for each statement is given below

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

1)

Purchase price = $3.25

Resold price = $9.50

Percentage markup.

= (9.50 - 3.25)/3.25 x 100

= 192.31%

Profit.

= 9.50 - 3.25

= $6.25

2)

Purchase price = $5

Resold price = $8.50

Percentage markup.

= (8.50 - 5)/5 x 100

= 3.50/5 x 100

= 70%

Profit.

= 8.50 - 5

= $3.50

3)

Purchase price = $50

Resold price = $88

Percentage markup.

= (88 - 50)/50 x 100

= 38/50 x 100

= 76%

Profit.

= 88 - 50

= $38

4)

Purchase price = $12.50

Resold price = $23.75

Percentage markup.

= (23.75 - 12.50)/12.50 x 100

= 90%

Profit.

= 23.75 - 12.50

= $11.25

Thus,

Each statement is solved above.

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The correct answer is D. The line intersects the parabola at (0, 4) and (1, 0).

Answer:

p

Step-by-step explanation:

no of dimes you have =17

no of dimes your brother have=8

now

no of dimes more you have save =17-8

=9

hence you have saved 9 more dimes

The statement that is not true from the following statements is “Adding a drift term to a random walk process makes it stationary”.A random walk process can be defined as a process in which the next value in a time series is a function of the previous value and random error.

A random walk is a stochastic process that models the time-series behavior of random variables or systems. A random walk model can be represented as Xt = Xt-1 + εt, where Xt is the value of the random walk at time t, Xt-1 is the value of the random walk at time t-1, and εt is a random shock.The variance of a random walk process depends on time. The variance of a random walk process with a drift is a linear function of time, which means that the variance increases over time. A random walk process has a stochastic trend. This means that the process does not have a predictable pattern or trend over time. A random walk process is nonstationary because it does not have a fixed mean or variance over time.Adding a drift term to a random walk process does not make it stationary. Instead, it changes the process into a stationary process by removing the non-stationarity. A drift term is a constant that is added to the process to make it stationary by providing it with a fixed mean and variance. Thus, the statement that adding a drift term to a random walk process makes it stationary is not true.

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The value of p that will guarantee the continuity of the function is given as follows:

p = 6.5.

A function defined by f(x) is continuous at a point x = a if it is defined at x = a, and the lateral limits are equal, that is:

\(\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)\)

In the context of this problem, the continuity of the function will be guaranteed if the lateral limits at x = -1 are equal.

To the left of x = -1, the function is less than -1, hence the lateral limit is:

lim x -> -1^- f(x) = lim x -> -1 (-2x² - 8x + 3) = -2(-1)² - 8(-1) + 3 = 9.

To the right of -1, the function is greater than -1, hence the lateram limit is:

lim x -> -1^+ f(x) = lim x -> -1 (4x + 2p) = 4(-1) + 2p = -4 + 2p.

The lateral limits have to be equal for the function to be continuous, hence:

-4 + 2p = 9

2p = 13

p = 13/2

p = 6.5.

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One problem with the arithmetic mean is that it is influenced by outliers. Because with the presence of outliers , the arithmetic mean will be pulled towards the outlier. So, the correct option is A) it is influenced by outliers.

The arithmetic mean is calculated by summing up all the observations in a dataset and dividing by the number of observations. While it is a commonly used measure of central tendency, it has some limitations. One of the main problems with the arithmetic mean is that it can be strongly influenced by outliers.

An outlier is an observation that is very different from the other observations in the dataset. When outliers are present, the arithmetic mean can be pulled towards the outlier and may not be a good representation of the typical value in the dataset.  So, the answer is A) it is influenced by outliers.

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The businessman has the number possible combinations of suits are 420 and ties to take on his next business trip.

The businessman has 6 suits and 7 ties, meaning he has 42 possible combinations of suits and ties if he were to take all of them. Since he is only taking 3 suits and 2 ties, he would need to calculate the combinations of 3 suits from the 6 available and the combinations of 2 ties from the 7 available. The calculation for the number of combinations of 3 suits from 6 is 6C3, which is equal to 20. The calculation for the number of combinations of 2 ties from 7 is 7C2, which is equal to 21. Since there are 20 possibilities of suits and 21 possibilities of ties, the total number of combinations of suits and ties he can take on his next trip is 20 x 21, which is equal to 420.

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The value of the expression V × (U + V) after applying the cross product of the vector would be  < - 6, - 8, 0 >.

Given that;

The cross-product assumes that;

U × V = <6, 8, 0>

Now the expression to calculate the value,

V × (U + V)

= (V × U) + (V × V)

Since, V × V = 0

Hence we get;

= (V × U) + 0

= - (U × V)

= - < 6, 8, 0>

Multiplying - 1 in each term,

= < - 6, - 8, 0 >

Therefore, the solution of the expression V × (U + V) would be,

V × (U + V) = < - 6, - 8, 0 >

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Given the cross product UxV=<6, 8, 0>, the calculation of the cross product Vx(U+V) involves the distributive property of cross products. VxU is found to be <-6, -8, 0> and VxV is 0, therefore Vx(U+V) = <-6,-8,0>.

The question is asking for the calculation of the cross product Vx(U+V) given that UxV=<6, 8, 0>. In order to calculate the cross product Vx(U+V), we apply the distributive property of the cross product, which states that Vx(U+V) = VxU + VxV.

Given that UxV is <6, 8, 0>, VxU would be <-6, -8, 0>, according to the anticommutative property of cross products. VxV is 0, since the cross product of a vector with itself is always 0.

Therefore, Vx(U+V) = <-6, -8, 0> + <0, 0, 0> = <-6,-8,0>.

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Answer:

8=520

Step-by-step explanation:

By using  Fundamental Theorem of Calculus, we find the derivative of the function g(x) = In { sqrt( t + t^3)dt } limit from x to 0 is  ln(sqrt(x + x^3)).  The derivative of the function g(x) = { In (1+t^2) dt} where limit are from x to 1 is  ln(1 + x^2).

The Fundamental Theorem of Calculus, which states that if a function is defined as the definite integral of another function, then its derivative is equal to the integrand evaluated at the upper limit of integration.

So, applying this theorem, we have:

g'(x) = d/dx [∫x_0 ln(sqrt(t + t^3)) dt]

= ln(sqrt(x + x^3)) * d/dx (x) - ln(sqrt(0 + 0^3)) * d/dx (0)

= ln(sqrt(x + x^3))

Therefore, g'(x) = ln(sqrt(x + x^3)).

Using the Fundamental Theorem of Calculus, we have:

g'(x) = d/dx [∫1_x ln(1 + t^2) dt]

= ln(1 + x^2) * d/dx (x) - ln(1 + 1^2) * d/dx (1)

= ln(1 + x^2)

Therefore, g'(x) = ln(1 + x^2).

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____The given question is incomplete, the complete question is given below:

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = In { sqrt( t + t^3)dt } limit from x to 0.  8. g(x) = { In (1+t^2) dt} where limit are from x to 1.

Answer:

Step-by-step explanation:

Answer:

10/54 = 0.185

Answer:

Can u please upload more clearer pictures ?

Zeroes of a function are the values of x when f(x) = 0

So to find the zeroes of the function from the graph search for the points whose y-coordinates = 0

The y-coordinates of the point = 0, if the points lie on the x-axis

That means the zeroes of the function are the points of intersection between the graph and the x-axis

let us see that in the graph

I will draw it and post it here

From the graph

The graph intersects x-axis at points (-7, 0) and (-2, 0)

Then the zeroes of the function are (-7, 0) and (-2, 0)

Let us make the table

x f(x)

-2 0

-1 6

0 14

1 24

2 36

Answer:

can you upload a bigger picture

Answer:

Step-by-step explanation:

-Start by distributing the 2, -2(3m+1/2).

-Getting -6m-1, your equation should look like -40-6m-1=7m-2

-Combine -40 and -1 to get -41, and then add the -6m to the other side.

-The equation should look like -41=13m-2. Add the 2 to the -41 to get -39.

-Now, we have -39=13m. divide both sides by 13 to get m=-3.

The length of one leg of the right triangle is h = 12√2 inches

The length of a right triangle can be found as follows;

sin 45 = opposite / hypotenuse

Therefore,

hypotenuse = 24 inches

Hence,

sin 45 = h / 24

h = 24 sin 45

h = 24 × 1 / √2

Therefore,

h = 24 / √2 × √2 / √2

h = 24√2 / 2

h = 12√2 inches

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Answer: B. 12√2 inches

Step-by-step explanation: TRUST ME!!! Answer correct on Edge!!! :)

The equation of the line that is parallel to the given line and passes through the point (-2,2) is:

\(y = \frac{x}{5} + \frac{12}{5}\)

A linear function is modeled by:

y = mx + b

In which:

When two lines are parallel, they have the same slope. In this problem, the given line passes through (-5,-4) and (0,-3), hence the slope is:

m = (-3 - (-4))/(0 - (-5)) = 1/5.

Hence the equation is:

\(y = \frac{x}{5} + b\)

When x = -2, y = 2, then:

\(y = \frac{x}{5} + b\)

\(2 = \frac{-2}{5} + b\)

\(b = \frac{12}{5}\)

Hence:

\(y = \frac{x}{5} + \frac{12}{5}\)

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The most appropriate design would be experiment. Implementation of the design would be by selection of trees, then the application of fertilizer, followed by data collection and statistical analysis.

a) Most appropriate design: Experiment

The orchard owner wants to determine if a new formula of fertilizer produces more apples per tree compared to a current popular brand. To make a causal conclusion, an experiment would be the most appropriate design. In an experiment, the orchard owner would randomly assign the trees to receive either the new fertilizer formula or the current popular brand and then compare the number of apples produced. This allows the orchard owner to control for other variables and isolate the effect of the fertilizer on the number of apples produced.

b) Implementation:

Selection of trees: The orchard owner would randomly select a sample of trees from their orchard and divide them into two groups: the experimental group (receiving the new fertilizer formula) and the control group (receiving the current popular brand).

Application of fertilizer: Both the experimental and control groups would receive the same amount of fertilizer, but the experimental group would receive the new formula while the control group would receive the current popular brand.

Data collection: The orchard owner would measure the number of apples produced by each tree in both the experimental and control groups.

Statistical analysis: The orchard owner would use appropriate statistical tests to compare the number of apples produced by each group and determine if there is a significant difference between the two.

c) Benefit:

One benefit of this experimental design is that it allows the orchard owner to determine causality. By randomly assigning the trees to receive either the new fertilizer formula or the current popular brand, the orchard owner can be confident that any difference in the number of apples produced is due to the fertilizer and not other factors. This is important for making decisions about which fertilizer to use in the future.

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Answer:

1/80 or 0.01234568

Step-by-step explanation:

Exponentiation: (-3) ^ (-9) = -5.08052634253E-5 = -1/

19683

Exponentiation: (-3) ^ 5 = -243

= -1/

19683

* (-243) = -1 · (-243)/

19683 · 1

= 243/

19683

= 1 · 243/

81 · 243

= 1/

81

Answer:

Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.

Step-by-step explanation:

A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ?

Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.

Solution:

The table is:

No. of hops Distance traveled

20 30

50 75

80 120

150 ?

From the table, for every 30 increase in the number of hops, the distance travelled increase by 45 feet

Find the slope of the line:

m = (y2-y1) / (x2-x1)

m=slope of the line

y2-y1 = change in distance travelled

x-2 - x1 = Change in number of hops

m = (y2-y1) / (x2-x1)

m = (75-30) / (50-20)

=45 / 30

m = 1.5

Then, the line is:

y = 1.5x

We substitute x = 150

y = 1.5x

y = 1.5 × 150

y = 225

Answer:

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

Answer:

1450dl

Step-by-step explanation:

29 days X 50dl = 1450dl

Answer:

The point (2, -6) is four below the line y= -2

The reflection will be four below the line y=-2.

Since y=-2 is a horizontal line, the reflection will be vertical,

so (2,-6) will reflect down 6 spaces vertically. -6 + (4*2) = (-6 + 8) =  2  therefore when we establish 4 below the line we just apply * 2 as a double as its across the line each side of the line to find that below the line = 4 = 4*2 and add it to -6

(2,-6) reflected over y=-2 reflects to (2, 2 )

Step-by-step explanation:

Therefore, To verify that y = √x is a solution to the given differential equation, we substituted y = √x and its derivatives and simplified it to show that it satisfies the equation for all x > 0.

To verify that y = √x is a solution to the given differential equation, we need to substitute y = √x into the equation and see if it satisfies the equation.
First, we need to find the first and second derivatives of y with respect to x:
dy/dx = 1/(2√x) and d²y/dx² = -1/(4x^(3/2)).
Now, substitute these values of y, dy/dx, and d²y/dx² into the given differential equation:
2x²(-1/(4x^(3/2))) + 3x(1/(2√x)) = √x
This simplifies to: -1/(2x^(1/2)) + 3/(2x^(1/2)) = √x
Which is true for all x > 0.
Explanation:
To verify that a given function is a solution to a differential equation, we substitute the function and its derivatives into the equation and check if it satisfies the equation. In this case, we used the given differential equation, substituted y = √x and its derivatives, and simplified to show that it indeed satisfies the equation for all x > 0.

Therefore, To verify that y = √x is a solution to the given differential equation, we substituted y = √x and its derivatives and simplified to show that it satisfies the equation for all x > 0.

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