How many solutions?
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The correct option 1. the slope of Equation A is steeper because 4/5 is bigger than 2/5.

The format of a linear function is as follows:

y = ax + b

That where:

Given by: Linear equation A

y = 4/5 x.

Points (0, 2) and pass through linear equation B. (5, 4).

Given that changes in y divided by change in x determines the slope between two points, we have that:

m = (4 - 2)/(5 - 0)

m = 2/5

Equation A is steeper as it contains a higher slope, so the appropriate response is:

Due to the fact that 4/5 is greater than 2/5, Equation A has a steeper slope.

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The complete question is-

Linear equation A: y=45x

Linear equation B is represented by this graph.

A line that passes through points (0, 2) and (5, 4).

Which statement is entirely correct?

Answer:

Step-by-step explanation:

first, you would want to find the common denominator

3/8 (salads) = 3/8

1/4 (sandwiches) = 2/8

add them together to find out how much students and eating either salads or sandwiches

3/8 + 2/8 = 5/8

this means 5/8 of 24 students are eating either salads or sandwiches

24 students = 24/24 as a fraction

find the common denominator of 5/8 and 24/24

24/24 = 24/24

5/8 = 15/24

the final answer would be that 15 students out of 24 are eating a lunch other than a salad or sandwich

The number of people eating lunches other than salads or sandwiches is 3.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, In a cafeteria, 5/8 of the students are eating salads, and 1/4 are eating sandwiches.

So, The number of people eating salads is (5/8)×24 = 15.

And the number of people eating sandwiches is (1/4)×24 = 6.

Therefore, The number of people eating lunches other than salads or sandwiches is (24 - 15 - 6) = 3.

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Answer: 3 shirts

Step-by-step explanation:

so they are 20 a piece

5+45=50

they need to raise $50

1= 20

2=40

3=60

Answer:

Step-by-step explanation:

Answer:

I believe it would be $1.25

Step-by-step explanation:

Since a lot of people bought doughnuts, that would probably be what most of them are spending their money on.

The exclamation point in the middle of a yellow triangle is a warning icon that may be seen on a variety of gadgets and software, including Windows PCs and Android smartphones.

It often serves as a signal for a problem or issue that needs addressing. Depending on the context in which it occurs, a symbol's precise meaning may change.

On a Windows computer, for instance, it can mean that a device driver needs to be updated, but on an Android phone, it might mean that a system update or an app has a bug that needs to be fixed.

Investigate the origin of the alert and take the necessary steps to resolve any problems that could be impacting your system or device.

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The answer to the given question is -4/3 or 1/2

The product of 6 and the square of a number is increased by 5 times the number, the result is 4.

Firstly, let's write the algebraic expression for the above statement and represent the number as x.

The algebraic expression can be written as:

(6 x x²) + 5x = 4

6x² + 5x = 4

The other expression can also be written as:

6x² + 5x - 4 = 0

Secondly, we must factorize the algebraic expression to solve for x.

6x² - 3x + 8x - 4 = 0

3x (2x - 1) + 4 (2x + 1) = 0

(3x + 4)(2x - 1) = 0

Thirdly, we need to solve for x.

3x + 4 = 0

3x = -4

Now, we need to divide both sides by 3.

3x/3 = -4/3

x = -4/3

or

2x - 1 = 0

2x = 1

Now, we need to divide both sides by 2.

2x/2 = 1/2

x = 1/2

Hence, the values that the number could be is -4/3 or 1/2.

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The required sample size to be 95% confident that the sample mean will be within 25 hours of estimating the population mean, assuming a population standard deviation of 120 hours, is approximately 48.

To determine the sample size required, we can use the formula for sample size calculation with a specified margin of error and confidence level. The formula is given as:

n = (Z * σ / E)^2

Where:

n = required sample size

Z = Z-score corresponding to the desired confidence level

σ = population standard deviation

E = margin of error

In this case, we want to be 95% confident, so the Z-score corresponding to a 95% confidence level is approximately 1.96 (standard normal distribution). The population standard deviation is given as 120 hours, and the desired margin of error is 25 hours.

Plugging these values into the formula, we have:

n = (1.96 * 120 / 25)^2

n ≈ 3.8416 * 4.8^2

n ≈ 3.8416 * 23.04

n ≈ 88.64

Rounding up to the nearest whole number, the required sample size is approximately 48.

Therefore, a sample size of 48 would be needed to be 95% confident that the sample mean will be within 25 hours of estimating the population mean, assuming a population standard deviation of 120 hours.

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Answer:

Step-by-step explanation:

The conversion factor is 454 grams / pound. That makes the answer D.

All of the answers have the right digits. It's the number of zeros that cause the problem.

Answer:

450 grams is the closest metric weight of 1 pound which in actuality is 453.592 gram.

Answer:

(a)V=36πh

Explanation:

• Radius = 6 meters

Part A

An equation that represents the volume V as a function of the height h is:

Part B

Using 3.14 as an approximation for π

The graph of the function is attached below: (V is on the y-axis and h is on the x-axis).

Part C

The initial equation for volume is:

When h=1

If you double the height of a cylinder, h=2:

We observe that when the height is doubled, the volume of the cylinder is also doubled.

Part D

The initial equation for volume is:

If the height of the cylinder is multiplied by 1/3, we have:

The volume of the cylinder will be divided by 3.

Using the graph, we observe a horizontal stretch of the graph by 1/3.

The sampling method that is most likely to be appropriate for calculating confidence intervals is simple random sampling.

This method ensures that every member of the population has an equal chance of being selected for the sample. This reduces the risk of bias and ensures that the sample is representative of the population. Stratified sampling is also a useful method for calculating confidence intervals, especially when the population has subgroups that need to be represented in the sample. However, other sampling methods like convenience sampling or quota sampling are not appropriate for calculating confidence intervals as they can introduce bias into the sample and do not guarantee a representative sample. Therefore, it is important to use an appropriate sampling method when calculating confidence intervals to ensure that the results accurately reflect the population.

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The function f(x)=√x with f:R→R is injective and surjective but not bijective.

Injective (or one-to-one): f(x) is injective, which means that if f(x1) = f(x2), then x1 = x2. In other words, if the square root of x1 is equal to the square root of x2, then x1 and x2 are equal.

Surjective (or onto): f(x) is surjective, which means that for every y in the codomain (R), there exists an x in the domain (R) such that f(x) = y. In other words, the square root of any real number can always be expressed as a real number.

Bijective: f(x) is not bijective. The square root function is not bijective because it is not defined for negative values of x.

Function: A function f is a function if for every x in the domain of f, there is exactly one y in the codomain of f such that f(x) = y. In other words, each x in the domain is mapped to exactly one y in the codomain.

In the case of f(x) = √x, it is a function. For every x in the domain of f, which is [0,∞), there is exactly one y in the codomain of f, which is [0,∞), such that f(x) = y.

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The mean and standard deviation of the total time are µx = 66 and σx = 3.17, so the correct answer is (D) µx= 66 σx= 3.17.

To find this:

The total time to complete all three tasks is the sum of the time taken for each task. The mean time to complete all three tasks (µx) can be calculated by adding the mean time for each task: µx = 36 + 22 + 8 = 66. The standard deviation (σx) of the total time can be calculated using the standard deviation of each task and the square root of the number of tasks (n).

Using the formula: \(\sigma x = \frac{\sqrt{\sigma1^2 + \sigma2^2 + \sigma3^2}}{\sqrt n}\),

where σ1, σ2, σ3 are the standard deviations of each task, n = 3.

Plugging in the values, we get

\(\sigma x = \sqrt(2.5^2 + 1.8^2 + 0.75^2)/\sqrt3 \\= \sqrt{6.25 + 3.24 + 0.5625}/\sqrt3 \\= \sqrt{10.0525}/\sqrt3 = 3.17\)

Hence, the mean and standard deviation of the total time are µx = 66 and σx = 3.17, so the correct answer is (D) µx= 66 σx= 3.17.

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Answer:

10x+12 is the answer in my calculation.

a. The table value of z 0.99 is given as 2.58.

b. we use σ = 2.30 minutes.

c. The value of Z is given as 0.609.

d. The confidence interval is (23.391, 24.609) minutes.

a) To find the z-score for a 0.99 confidence interval, we need to find the z-score that leaves 0.5% (since it's two-tailed, we split the 1% or 0.01 of the data that's not within the confidence interval into two) in each tail. The z-score for 0.995 (0.5% in the upper tail) is approximately 2.58 in standard normal distribution tables. So, Z_0.99 is 2.58.

b) Therefore, we use σ = 2.30 minutes.

c) The standard error of the mean (SE) is given by σ/√n, where n is the sample size.

Here, σ = 2.30 minutes and n = 95.

Therefore, SE = σ/√n

= 2.30/√95

= 0.236 minutes.

Multiply this by the z-score to find Z * σ/√n.

Therefore, Z * σ/√n = 2.58 * 0.236 ≈ 0.609.

d) The 0.99 confidence interval for μ

Here, x is the sample mean which is 24 minutes.

So the confidence interval is approximately

= (24 - 0.609, 24 + 0.609)  

= (23.391, 24.609) minutes.

This is the range of values we are 99% confident that the true population mean (μ) falls in.

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Answer:

7) 1

8) -2

9) undefined (no slope)

10) 4/3

11) -2/7

12) 0

Step-by-step explanation:

to find the slope when given to points ... minus the y values and x values

formula :

y - y

------  =  slope

x - x

Using compatible numbers and adjusting them helps us to perform mental math and make calculations faster. This method also helps us to estimate answers and check if the actual answer is reasonable or not.

To find sums, I would prefer to use the method of using compatible numbers and adjusting. The reason behind this is that it can help me to perform mental calculations and solve mathematical problems faster.What are compatible numbers?Compatible numbers are numbers that are close to the actual numbers, but are easier to work with mathematically. They are rounded numbers that make it easier to perform mental math. Once we have the answer, we can adjust it to get the correct answer.To solve an addition problem using compatible numbers, we choose numbers close to the actual numbers in the problem. For example, if we are adding 45 and 32, we can round the numbers to 50 and 30. Then we add 50 and 30 to get 80, which is the compatible number sum. But this is not the actual answer because we rounded the numbers, so we need to adjust. We subtract 5 from 50 and add 3 to 30 to get 45 and 33, respectively. Then we add the adjusted numbers (45 and 33) to get the correct answer, which is 78.Using compatible numbers and adjusting them helps us to perform mental math and make calculations faster. This method also helps us to estimate answers and check if the actual answer is reasonable or not.

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Answer:

Step-by-step explanation:

Answer:

D) 1/3

Step-by-step explanation:

Cut sizes are:

A) 1

Sides are:

Volume is

B) 2/5

Sides are:

Volume is:

C) 1/4

Volume is:

D) 1/3

Volume is:

E) 1/2

Volume is:

The largest volume is obtained when cut size is 1/3 m

Correct option is D.

The recursive formula for Lindsey's scores is aₙ = aₙ₋₁ \(\times\) r, and the explicit formula is aₙ \(= 67 \times r^{(n-1).\)

To find the recursive and explicit formulas for the given geometric sequence, let's analyze the pattern of Lindsey's scores.

From the given information, we can observe that Lindsey's scores are increasing at the same rate.

This suggests that the scores form a geometric sequence, where each term is obtained by multiplying the previous term by a common ratio.

Let's denote the first term as a₁ = 67 and the common ratio as r.

Recursive Formula:

In a geometric sequence, the recursive formula is used to find each term based on the previous term. In this case, we can write the recursive formula as:

aₙ = aₙ₋₁ \(\times\) r

For Lindsey's scores, the recursive formula would be:

aₙ = aₙ₋₁ \(\times\) r

Explicit Formula:

The explicit formula is used to directly calculate any term of a geometric sequence without the need to calculate the previous terms.

The explicit formula for a geometric sequence is:

aₙ = a₁ \(\times r^{(n-1)\)

For Lindsey's scores, the explicit formula would be:

aₙ \(= 67 \times r^{(n-1)\)

In both formulas, 'aₙ' represents the nth term of the sequence, 'aₙ₋₁' represents the previous term, 'a₁' represents the first term, 'r' represents the common ratio, and 'n' represents the term number.

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The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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Ah bg de cf

Step-by-step explanation:

i think thats how you do it becuse i did that

Answer:

359.2 cubic inches

Step-by-step explanation:

Answer:

\(2\frac{1}{2}\)

Step-by-step explanation:

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

hope this helps! :D

have a miraculous day!! <3

Answer:

The side length is 9 m

Step-by-step explanation:

The area of a square is given by

A = s^2

81 = s^2

Take the square root of each side

sqrt(81) = sqrt(s^2)

9 =s

The side length is 9 m

Answer:

(f*g)(x) = 4x⁵ - 16x³ + x² - 4

Step-by-step explanation:

To find (f*g)(x), you need to multiply f(x) with g(x).  Use FOIL to multiply.

f(x) = 0.5x² - 2

g(x) = 8x³ + 2

(f*g)(x) = (0.5x² - 2)(8x³ + 2)

(f*g)(x) = 4x⁵ + x² - 16x³ - 4

(f*g)(x) = 4x⁵ - 16x³ + x² - 4

The tangent vector  → \(r(t)=〈4cos(2t),4sin(2t),5t〉\), normal vector at t=0 is given by →N(0) = 〈-1,0,0〉, and binormal vector at t=0 is given by →\(B(0) = 〈0, -0.441, -0.898〉\)

The tangent vector, normal vector, and binormal vector of the given curve are as follows:

Given curve:

→ \(r(t)=〈4cos(2t),4sin(2t),5t〉\) at the point t=0

To find: Tangent vector, the Normal vector, and the Binormal vector (→T, →N and →B) at the point t=0

Tangent vector: To find the tangent vector of the given curve

→\(r(t)=〈4cos(2t),4sin(2t),5t〉\) at the point t=0,

we need to differentiate the equation of the curve with respect to t.t = 0, we have:

→\(r(t) = 〈4cos(2t),4sin(2t),5t〉→r(0) = 〈4cos(0),4sin(0),5(0)〉= 〈4,0,0〉\)

Differentiating w.r.t t:→\(r(t) = 〈4cos(2t),4sin(2t),5t〉 → r'(t) = 〈-8sin(2t),8cos(2t),5〉t = 0\),

we have:

→\(r'(0) = 〈-8sin(0),8cos(0),5〉= 〈0,8,5〉\)

Therefore, the tangent vector at t = 0 is given by

→\(T(0) = r'(0) / |r'(0)|= 〈0,8,5〉 / sqrt(89)≈〈0.000,0.898,0.441〉\)

Normal vector:To find the normal vector of the given curve

→\(r(t)=〈4cos(2t),4sin(2t),5t〉\)

at the point t=0, we need to differentiate the equation of the tangent vector with respect to t.t = 0, we have:

→\(T(0) = 〈0.000,0.898,0.441〉\)

Differentiating w.r.t t:

→\(T'(t) = 〈-16cos(2t),-16sin(2t),0〉t = 0\),

we have:

→\(T'(0) = 〈-16cos(0),-16sin(0),0〉= 〈-16,0,0〉\)

Therefore, the normal vector at t = 0 is given by

→\(N(0) = T'(0) / |T'(0)|= 〈-16,0,0〉 / 16= 〈-1,0,0〉\)

Binormal vector: To find the binormal vector of the given curve

→\(r(t)=〈4cos(2t),4sin(2t),5t〉\)

at the point t=0, we need to cross-product the equation of the tangent vector and normal vector of the curve.t = 0, we have:

→\(T(0) = 〈0.000,0.898,0.441〉→N(0) = 〈-1,0,0〉\)

The cross product of two vectors:

→\(B(0) = →T(0) × →N(0)= 〈0.000,0.898,0.441〉 × 〈-1,0,0〉= 〈0, -0.441, -0.898〉\)

Therefore, the binormal vector at t = 0 is given by→B(0) = 〈0, -0.441, -0.898〉

Hence, the tangent vector, normal vector, and binormal vector of the given curve at t=0 are as follows:

→\(T(0) = 〈0.000,0.898,0.441〉→N(0) = 〈-1,0,0〉→B(0) = 〈0, -0.441, -0.898〉\)

The given curve is

→\(r(t)=〈4cos(2t),4sin(2t),5t〉 at the point t=0.\)

We are asked to find the tangent vector, the normal vector, and the binormal vector of the given curve at t=0.

the tangent vector at t=0. To find the tangent vector, we need to differentiate the equation of the curve with respect to t. Then, we can substitute t=0 to find the tangent vector at that point. the equation of the curve Is:

→\(r(t) = 〈4cos(2t),4sin(2t),5t〉\)

At t = 0, we have:

→\(r(0) = 〈4cos(0),4sin(0),5(0)〉= 〈4,0,0〉\)

We can differentiate this equation with respect to t to get the tangent vector as:

→\(r'(t) = 〈-8sin(2t),8cos(2t),5〉\)

At t=0, the tangent vector is:

→\(T(0) = r'(0) / |r'(0)|= 〈0,8,5〉 / sqrt(89)≈〈0.000,0.898,0.441〉\)

Next, we find the normal vector. To find the normal vector, we need to differentiate the equation of the tangent vector with respect to t. Then, we can substitute t=0 to find the normal vector at that point.

At t=0, the tangent vector is:

→\(T(0) = 〈0.000,0.898,0.441〉\)

Differentiating this equation with respect to t, we get the normal vector as:

→\(T'(t) = 〈-16cos(2t),-16sin(2t),0〉\)

At t=0, the normal vector is:

→\(N(0) = T'(0) / |T'(0)|= 〈-16,0,0〉 / 16= 〈-1,0,0〉\)

Finally, we find the binormal vector. To find the binormal vector, we need to cross-product the equation of the tangent vector and the normal vector of the curve.

At t=0, we can cross product →T(0) and →N(0) to find the binormal vector.

At t=0, the tangent vector is:

→\(T(0) = 〈0.000,0.898,0.441〉\)

The normal vector is:

→N(0) = 〈-1,0,0〉Cross product of two vectors →T(0) and →N(0) is given as:

→\(B(0) = →T(0) × →N(0)= 〈0.000,0.898,0.441〉 × 〈-1,0,0〉= 〈0, -0.441, -0.898〉\)

Therefore, the tangent vector, normal vector, and binormal vector of the given curve at t=0 are:

→\(T(0) = 〈0.000,0.898,0.441〉→N(0) = 〈-1,0,0〉→B(0) = 〈0, -0.441, -0.898〉\)

The tangent vector of the given curve

→\(r(t)=〈4cos(2t),4sin(2t),5t〉\)

at the point t=0 is given by →\(T(0) = 〈0.000,0.898,0.441〉.\)

The normal vector at t=0 is given by →N(0) = 〈-1,0,0〉.

The binormal vector at t=0 is given by →B(0) = 〈0, -0.441, -0.898〉.

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Answer:

First one: Rotation

Second one: Translation

Third one: Reflection

Fourth one: Translation

Step-by-step explanation:

Answer:

I hope I helped you!

Answer:

Step-by-step explanation:

you have to multiply the bracets by the factor

then add +1 to both sides

Equation :

\(y=\frac{-3}{4}x-2\)

yes, it's the same as b