Question 10 of 28
Which of the following expressions are equivalent to
2. ? Choose all that apply.
ھر - 20
A.
B.
c.
2
(3)2 - (13 )2
1
1
(x3 - 3 ) ( + 13 )
2
1
(3 - 13) (3 - 13)
مردم زمرے
2
1
D. (x3 - 3 ) ( + 13 )

Answer:

C. P=rs 300

S.p =rs 410

Tax rate =15%

Step-by-step explanation:

Now according to que,

Profit =S.p-C.p

=410-300

= Rs 110

Hence,profit amount is Rs 110

Answer:

-6 ≤ y ≤ 9

Step-by-step explanation:

Answer:it’s d

Step-by-step explanation:

The amount of flour that the cake recipe call for would be equal to 3.5 cups.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers.

Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given information in the question,

Let's write the equation according to the statement,

x = 7 × 1/2

x = 3.5 cups or,

x = 3 & 1/2 cups.

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The vector equation for the vehicle's velocity V is given by: v=dR/dt=d/dt(20-4t+t²)i+d/dt(tsin(2t))j

[Where, v is the velocity of the vehicle, R is the position vector of the vehicle]

Now, v = (d/dt(20-4t+t²))i + (d/dt(tsin(2t)))j.

Differentiating 20-4t+t² with respect to t, we get,-4+2t.Differentiating tsin(2t) with respect to t, we get,2tcos(2t)+sin(2t)Therefore, the velocity of the vehicle is given by,

v = (-4+2t)i + (2tcos(2t)+sin(2t))j

The vector equation for the vehicle's velocity V is given by:

v=dR/dt=d/dt(20-4t+t²)i+d/dt(tsin(2t))j.

Now, v = (d/dt(20-4t+t²))i + (d/dt(tsin(2t)))j.

Differentiating 20-4t+t² with respect to t, we get,-4+2t.

Differentiating tsin(2t) with respect to t, we get, 2tcos(2t)+sin(2t).

Therefore, the velocity of the vehicle is given by,v = (-4+2t)i + (2tcos(2t)+sin(2t))j.

An equation for the magnitude of its velocity, ∣V∣ is given by;

|v| = √[(-4+2t)² + (2tcos(2t)+sin(2t))²]We can simplify it as

|v| = √[16-16t+4t²+4t²cos²(2t)+4tsin(2t)cos(2t)+4t²sin²(2t)]|v|

= √[4t²cos²(2t)+4t²sin²(2t)+16-16t+4t²+4tsin(2t)cos(2t)]|v|

= √[4t²(cos²(2t)+sin²(2t))+16-16t+4tsin(2t)cos(2t)]|v|

= √[4t²+16-16t+4tsin(2t)cos(2t)]

The vector equation of the vehicle's velocity is given by v = (-4+2t)i + (2tcos(2t)+sin(2t))j.

The equation for the magnitude of its velocity, ∣V∣ is ∣v∣ = √[4t²+16-16t+4tsin(2t)cos(2t)].

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▹ Answer

60% of 100 is 60

▹ Step-by-Step Explanation

60% of 100:

- You can write this as a fraction or decimal. In this case, both of them will work just fine but we can go with fractions.

60% is written as 6/10 as a fraction or 0.6 as a decimal.

\(\frac{6}{10} * 100\\ =\frac{600}{10} \\= 60\)

Hope this helps!

CloutAnswers ❁

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Answer:

60%out of 100 is 40%

Step-by-step explanation:

100-60

A) In both cities = 0.3

B) In neither cities = 0.2

Given,

P(Industry in Shanghai) = P(A) = 0.7

P(Industry in Beijing) = P(B) = 0.4

P(Industry in Shanghai or Beijing)  = P(A∪B) = 0.8

a) We need to find the probability that the industry is located in both Shanghai and Beijing.

That is we need to find P(A∩B)

P(A∪B) = P(A) + P(B) - P(A∩B)

Substituting the values we get,

0.8 = 0.7 + 0.4 - P(A∩B)

P(A∩B) = 0.3

Thus, the probability that the industry is located in both Shanghai and Beijing is 0.3.

b) Now, we need to find the probability that it is not in either cities

Probability = 1 - Probability(Industry in Shanghai or in Beijing)

                = 1 - P(A∪B)

                = 1 - 0.8

                = 0.2

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The question is incomplete. Completed question is given below.

The probability that an American industry will locate in Shanghai, China, is 0.7, the probability that it will locate in Beijing, China, is 0.4, and the probability that it will locate in either Shanghai or Beijing or both is 0.8. What is the probability that the industry will locate

A. in both cities?

B. in neither city?

The distance from point A to point C and the bearing from point A to point C is 229.5 miles.

Given that:

AB = 370 miles

angle A = 24 degrees

BC = 240 miles

angle B = 37 degrees 

To determine the distance from point A to C, we can use the cosine law since we are given two angles and two sides of a regular triangle. 

The angle opposite side AC is angle B which is equal to 37 degrees. 

(AC)^2 =(AB)^2 + (BC)^2 - 2(AB)(BC)cos(B)

Now we have to solve for AC:

(AC)^2 =(370)^2 + (240)^2 - 2(370)(240)cos(37) 

AC = 229.48 miles.

Hence the answer is, the distance from point A to point C and the bearing from point A to point C is 229.5 miles. 

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Answer:

You haven't linked any tables?

Step-by-step explanation:

ok

Hose 1 = H = 5g/2 m

Hose 2 = M = 10g/8 m = 5g/4m

Hose 1 + Hose 2 = Total

5g/2 m + 5g/4 m = Total

10g/4m + 5g/4m = Total

15 gallons/4 min = total

15 gallons ---------------------------- 4 min

750 gallons -------------------------- x

x = (750 x 4) / 15

x = 3000 / 15

x = 200 min

Result. It will take 200 min to fill the pool

Answer:

40 feet deep

Step-by-step explanation:

:))

a) The probability that Dwight signs 6 new clients in a randomly selected week is approximately 0.1047

b) The probability that Dwight signs at least 3 new clients in a randomly selected week is approximately 0.7227.

Let X be the number of new clients that Dwight signs in a randomly selected week. Since X follows a Poisson distribution with an average rate of 3.7 new clients per week, we can write:

P(X = x) = \((e^{-\lambda} \times \lambda ^x)\) / x!, x = 0, 1, 2, ...

where λ is the average rate and e is the mathematical constant e ≈ 2.71828.

a) Probability that Dwight signs 6 new clients:

To calculate this probability, we need to substitute x = 6 and λ = 3.7 into the above formula:

P(X = 6) = (\(e^{-3.7}\) x 3.7⁶) / 6! ≈ 0.1047

b) Probability that Dwight signs at least 3 new clients:

To calculate this probability, we need to sum the probabilities of signing 3, 4, 5, 6, and so on, new clients. Since the Poisson distribution is a discrete probability distribution, we can use the cumulative distribution function (CDF) to compute this probability:

P(X ≥ 3) = 1 - P(X < 3) = 1 - P(X = 0) - P(X = 1) - P(X = 2)

Substituting λ = 3.7 into the Poisson probability formula, we get:

P(X = 0) = \(e^{-3.7}\) x 3.7⁰ / 0! ≈ 0.0240

P(X = 1) = \(e^{-3.7}\) x 3.7¹ / 1! ≈ 0.0890

P(X = 2) = \(e^{-3.7}\) x 3.7² / 2! ≈ 0.1643

Therefore,

P(X ≥ 3) = 1 - 0.0240 - 0.0890 - 0.1643 ≈ 0.7227

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Therefore, Linda bought 21 yards of ribbon. Hence, Linda bought 94 yards of ribbon.

The number of yards of ribbon Linda bought, we need to calculate the difference between the initial balance on the card and the remaining balance after the purchase.

The initial balance on the card was $20. To find the amount spent on ribbon, we subtract the remaining balance ($17.06) from the initial balance. $20 - $17.06 = $2.94

Now, we need to determine how many yards of ribbon Linda could purchase with $2.94, given that the price of the ribbon is 14 cents per yard.

To find the number of yards, we divide the total amount spent ($2.94) by the price per yard (14 cents): $2.94 ÷ $0.14 = 21

Therefore, Linda bought 21 yards of ribbon.

Hence, Linda bought 94 yards of ribbon.

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Answer:

34 Units ^2

Step-by-step explanation:

The two lines are equidistance from x-axis and have the same equation, which means they are coincident.

A straight line is a geοmetrical οbject that extends infinitely in bοth directiοns and is characterized by its directiοn and slοpe. It is the shοrtest distance between twο pοints, and can be defined as a set οf pοints that are equidistant frοm each οther.

Since bοth lines have the same y-cοοrdinate fοr all their pοints, they are bοth hοrizοntal lines. Line r is the hοrizοntal line passing thrοugh pοints A and B with y-cοοrdinate 3, while line s is the hοrizοntal line passing thrοugh pοints C and D with y-cοοrdinate 3.

After drawing the lines on the graph we can see that they are equidistance from x-axis and length are same as well which means they have same linear equation.

We have that x1 = 5, y1 = 3, x2 = 7, and y2 = 3.

But since the y-cοοrdinates οf the pοints are equal, we can find the slοpe easier than just by using the abοve fοrmula.

If y-cοοrdinates are equal and x-cοοrdinates are nοt equal (as in οur case), the slοpe equals 0 (the line is hοrizοntal).

This means that the equatiοn οf the line dοesn't cοntain x.

Thus, the equatiοn οf the line is y=3.

We have that x₁ = 2, y₁ = 3, x₂ = 4, and y₂ = 3.

But since the y-cοοrdinates οf the pοints are equal, we can find the slοpe easier than just by using the abοve fοrmula.

Slope m = y₂ - y₁/x₂ - x₁

Slope m = 0/2

Slope m = 0

If y-cοοrdinates are equal and x-cοοrdinates are nοt equal (as in οur case), the slοpe equals 0 (the line is hοrizοntal).

This means that the equatiοn οf the line dοesn't cοntain x.

Use point slope form:

y - y₂ = 0(x - x₂)

y - 3 = 0

y = 3

Also

y - y₁ = 0(x - x₁)

y - 3 = 0

y = 3

Thus, the equatiοn οf the line is y = 3.

y = 0 = y = 0

Therefore, the two lines are equidistance from x-axis and have the same equation, which means they are coincident.

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To increase real GDP and bring it closer to potential GDP during a recession, the government could increase government spending and/or decrease taxes.

During a recession, when real GDP is below potential GDP, the government can use fiscal policy tools to stimulate economic growth and close the GDP gap. The two options that can be effective in this situation are increasing government spending and decreasing taxes.

Increase government spending: By increasing spending on infrastructure projects, education, healthcare, or other sectors, the government can create demand in the economy, which leads to increased production and employment, ultimately raising real GDP.

Decrease taxes: Reducing taxes can provide individuals and businesses with more disposable income, encouraging consumption and investment. This increased spending and investment can boost aggregate demand, leading to higher production levels and closing the GDP gap.

Decreasing government spending and increasing taxes, on the other hand, would have contractionary effects, potentially exacerbating the recessionary conditions by reducing overall demand in the economy. Therefore, these options are not suitable for increasing real GDP during a recession.

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Answer:

x = 30

Step-by-step explanation:

well from the theorem we have

\(\frac{15}{3}=\frac{x}{6}\)

yes i know you could say that the right way is

\(\frac{3}{15}=\frac{6}{x}\)

well if you notice they are the same only that in my way the x is in the numerator which means it will be far easier to know it's value :)

so

\(\frac{15}{3}=\frac{x}{6}\\\\5=\frac{x}{6}\\\\6[5]=6[\frac{x}{6}]\\\\30=x\)

Calculus Early Transcendentals is a branch of mathematics that deals with the study of rates of change and slopes of curves. It is a fundamental area of mathematics that is widely used in a variety of fields, including engineering, physics, economics, and science.

The core concept of Calculus Early Transcendentals is differentiation, which is the process of finding the derivative of a function. A derivative is essentially the rate of change of a function at a given point, and it is used to determine how the value of the function changes as its input changes.

In addition to differentiation, Calculus Early Transcendentals also covers integration, which is the process of finding the area under a curve. Integration is the inverse of differentiation and is used to find the total change in a function over a given interval.

Another important area covered in Calculus Early Transcendentals is optimization, which is the process of finding the maximum or minimum value of a function. This is a useful tool in many real-world applications, such as finding the minimum amount of time or energy required to perform a task.

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Answer:

Option (3)

Step-by-step explanation:

Length of the given rectangle = (x + 6) meters

Width of the given rectangle = (2x - 1) meters

Area of a rectangle = Length × Width

                                = (x + 6)(2x - 1)

                                = x(2x - 1) + 6(2x - 1)

                                = 2x² - x + 12x - 6

                                = (2x² + 11x - 6) square meters

Therefore, area of the given rectangle is defined by the expression given in option (3).

Answer:

a. x<7 and x>-7

Step-by-step explanation:

√x²<√49

-7<x<7 hope this helps

The approximate length of the radius, r is 4.51 cm. SO the option 1 is correct.

In the given question we have to find the approximate length of the radius, r.

As given, circle O has a circumference of approximately 28.3 cm.

The calculation of the circle's boundary is referred as the perimeter or circumference of the circle. Although the circumference of the circle determines the space it occupies.

The circumference of a circle is its length when it's actually opened and represented as a single direction. Units like cm or unit m are typically used to measure it.

As we know that the formula of circumference of circle = 2πr

As circumference of circle = 28.3 cm

So 2πr = 28.3 cm

Divide by 2π on both side, we get

r = 14.15/π

π = 3.14

So r = 14.15/3.14

r = 4.51 cm

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The complete question is:

Circle O has a circumference of approximately 28.3 cm.

What is the approximate length of the radius, r?

a. 4.5 cm

b. 9.0 cm

c. 14.2 cm

d. 28.3 cm

The approximate length of the radius, r, is 4.5 cm.

The formula for calculating the radius, r, of a circle is r = C/2π, where C is the circumference of the circle. In order to calculate the approximate length of the radius, we must first calculate the circumference.

Let's assume that the circumference of the circle is 28.3 cm. To calculate the circumference, we can use the formula C = 2πr. We know the circumference and want to solve for the radius, so we can rearrange the formula to solve for r: r = C/2π.

Plugging in our values, we can calculate the approximate length of the radius: r = 28.3 cm/2π = 4.5 cm. Therefore, the approximate length of the radius, r, is 4.5 cm.

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Answer:

7 no =option B

8 no =option

9 no=option D

10 no=option c

Step-by-step explanation:

Answer:

interphase!

Step-by-step explanation:

Cells spend 90% of their life in interphase.

Answer:

Step-by-step explanation:

oknjbgfkdfrgn jnfbfl

Answer:

665.5

Step-by-step explanation:

840.50 - 175 =

Answer:

42 sheet of paper

Step-by-step explanation:

$7.84 divided by $0.16

This equals 42

After spending 7 dollars and 84 cents, 42 sheets of paper will be sold.

We are given that the inside diameter of a piston ring is a random variable with mean value 10 cm and standard deviation 0.07 cm.

We are asked to find the sampling distribution of the sample mean diameter for two different random samples of n=16 and n=64 piston rings, respectively, and to calculate the standard deviation of each sampling distribution.

The sampling distribution of the sample mean diameter is the distribution of all possible sample means that could be obtained from a given sample size n.

The central limit theorem tells us that for large enough sample sizes (typically n ≥ 30), the sampling distribution of the sample mean is approximately normal, regardless of the shape of the underlying population distribution.

The mean of the sampling distribution of the sample mean is equal to the population mean, and the standard deviation of the sampling distribution is equal to the population standard deviation divided by the square root of the sample size.

For the first random sample of n=16 piston rings, the center of the sampling distribution of the sample mean diameter is still 10 cm, as this is the population mean.

However, the standard deviation of the sampling distribution is equal to the population standard deviation of 0.07 cm divided by the square root of 16, which is 0.0175 cm. Therefore, the standard deviation of the sampling distribution of the sample mean diameter for the first random sample is 0.0175 cm.

For the second random sample of n=64 piston rings, the center of the sampling distribution of the sample mean diameter is still 10 cm, but the standard deviation of the sampling distribution is equal to the population standard deviation of 0.07 cm divided by the square root of 64, which is 0.00875 cm.

Therefore, the standard deviation of the sampling distribution of the sample mean diameter for the second random sample is 0.00875 cm.

Finally, we are asked which of the two random samples is more likely to have a sample mean diameter within 0.01 cm of 10 cm. Since the standard deviation of the sampling distribution of the sample mean decreases as the sample size increases, the second random sample of n=64 piston rings is more likely to have a sample mean diameter within 0.01 cm of 10 cm.

This is because the decreased variability of the sampling distribution means that the sample means are more tightly clustered around the population mean of 10 cm. Therefore, we can conclude that the second random sample is more precise than the first random sample.

In statistics, a random sample is a subset of a larger population that is selected in such a way that each member of the population has an equal chance of being included in the sample.

Random sampling is a crucial tool for drawing conclusions about a population based on a smaller subset of data. In this problem, we will explore the sampling distribution of the sample mean for two different random samples of piston rings.

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Data sharing with the remainder of the lab section has a number of benefits. First of all, it broadens the sample size overall, which can boost the statistical power of analyses and broaden the applicability of the results.

It is simpler to find significant effects or relationships in the data when the sample size is higher. Furthermore, combining data can result in a more representative sample, minimising any biases that can be present in smaller individual datasets. Collaboration and the investigation of trickier research problems are made possible by sharing data. It promotes information exchange and a collaborative atmosphere where researchers can benefit from one another's experiences, approaches, and insights, thereby raising the calibre and dependability of the research carried out in the lab sector.

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Answer:

g=15

Step-by-step explanation:

-4g-20-16g=10-18g

-20g-20=10-18g

-20g-20 (+20)= 10-18g (+20)

-20g=30-18g

-20g (+18g)= 30-18g (+18g)

-2g=30

(-2g)÷2=(30)÷2

-g=15

-g×-1=15×-1

g=15

Answer: 3=-155.15

4=-224.05

Step-by-step explanation:

Answer: 155.15 then 223.75

Step-by-step explanation:

The rate of increase of the depth of the water (W(t)) is constant.

What is rate ?

In mathematics and physics, the rate is a measure of change of a certain quantity with respect to another quantity. The rate can be a number, a ratio or a derivative. It is often represented by the symbol "d" or "dx/dt" or "dy/dt" and it measures how fast a quantity is changing.

Water is poured into the top half of a spherical tank at a constant rate, this means that the rate of increase of the depth of the water (W(t)) is constant.

In this case, W(t) is constant.

It is important to keep in mind that the rate of change of the function doesn't indicate the shape of the function, it just tells us the change of the dependent variable with respect to the independent variable. The shape of the function can be visualized by creating a graph of the function.

So , The rate of increase of the depth of the water (W(t)) is constant.

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