What is the reduced fraction form of 5.333...?
(Simplify your answer.)

Answer:

5/2

Step-by-step explanation:

The slope is 5/2

Answer:

\( { \frac{5}{2} }^{} \: is \: the \: slope\)

Answer:

100 = 2x + 4y

Step-by-step explanation:

Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Answer:

0.8888

Step-by-step explanation:

Step-by-step explanation:

Remember: when we divide fractions, we always:

• Flip the sign (change it to a multiplication sign)

• Flip the second fraction (4 goes on top and 3 goes on the bottom)

Now we have the rules covered, let's set up our expression.

\(\frac{2}{3} *\frac{4}{3}\)

To multiply, we just have to multiply across. 2 • 4 is 8, and 3 • 3 is 9.

Our final answer: \(\frac{8}{9}\)

I hope this helps you!

Look at the diagram for the answer

Hope that helps!

The amount after 4 years is $15036

Interest is the amount of money u receive when you invest certain amount of money for certain period of time .

It is given that

Principal = $10,000

Interest = 6% compounded yearly,

time =4 years.

\(\rm Amount = P (1 + \dfrac{r}{n})^{nt}\)

Amount = 10000(1+ (6/100))⁴

Amount = $15036

Therefore the amount after 4 years is $15036.

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Answer: $12,624.77

Step-by-step explanation:

The regression equation is (d) log(y) = 0.064x + 1.706

The table of values is given as:

x   2   3   4   5   6

y   73  77  85  101  133

Calculate the logarithm of the y values.

So, we have:

x          2   3   4   5   6

log(y)   1.86  1.89  1.93  2  2.12

Next, we enter the above values in a regression calculator.

From the calculator, we have the following summary:

The regression equation is then represented as:

log(y) = bx + a

Where:

b = SP/SSX = 0.64/10 = 0.064

a = MY - bMX = 1.96 - (0.064*4) = 1.706

So, we have:

log(y) = 0.064x + 1.706

Hence, the regression equation is (d) log(y) = 0.064x + 1.706

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Answer: D. log(y) = 0.064x + 1.706

Step-by-step explanation: I got it right on my test

The amount of money that needs to be deposited now into an account to obtain $6,200 in 15 years is $2,928.67.

Mathematically, continuous compounding interest can be calculated by using this mathematical expression:

P(t) = P₀e^{rt}

Where:

Substituting the given parameters into the continuous compounding interest formula, we have;

P(t) = P₀e^{rt}

$6,200 = P₀e^{0.05 × 15}

$6,200 = P₀e^{0.75}

Principal, P₀ = 6,200/e^{0.75}

Principal, P₀ = 6,200/2.11700001661

Principal, P₀ = $2,928.67.

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Answer:

No.  The data in this study were not based on a random method.  This is a key requirement for an inference to be made from the two-sample t-test.

Step-by-step explanation:

1. Hayden can use the two-sample t-test (also known as the independent samples t-test)to find out if there was a difference in the time spent in the checkout time between two grocery stores and to conclude whether the difference in the average checkout time between the two stores is really significant or if the difference is due to a random chance.  There are three conditions to be met when using the two-sample t-test.

2. The first condition is that the sampling method must be random.  This requirement was not met in this study.  Each customer from each store should have an equal chance of being selected for the study.  This was not achieved.

3. The distributions of the sample data are approximately normal.  This is achieved with a large sample size of 30 customers selected for each study.

4. The last but not the least condition is the independence of the sample data.  Sample data here is independent for both samples.

Answer:

2x+15

Step-by-step explanation:

Answer:

2x + 15

Step-by-step explanation:

First, we are doubling x.

We know that doubling is the same thing as multiplying by 2:

2x

Next, we are adding fifteen:

2x + 15

Answer:

LN=28

Step-by-step explanation:

If the distance between L and M is 22 and the distance between M and N is 6, and M is between L and N, you would add 22+6 and get 28

Answer:

66

Step-by-step explanation:

the difference of 54 and 32 is 54 - 32 = 22

the difference of 8 and 5 is 8 - 5 = 3

then

22 × 3 = 66

Answer:

0.53

Step-by-step explanation:

The measure and shape of the angle will not change when you translate it, only its location in space.

When you translate an angle, you are moving its position in space without changing its size or shape. The angle will maintain its measure, and the relationship between its sides and vertex will remain the same.

If you translate an angle by a certain distance in a specific direction, the new location of the angle will be a specified distance away from the original location in that direction. However, the angle itself remains the same, and it will not be affected by the translation process.

In other words, the measure and shape of the angle will not change when you translate it, only its location in space.

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Answer:

1+(6*.01)

Step-by-step explanation:

\(\large{\sf{Question:}} \\ \\\)

How to write 1.06 in expanded form

Solution :

1.06

\( \implies\) 1 + 0.0 + 0.06

Answer:-1

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

the correct option is D:

" The inverse relation must pass the vertical line test."

Remember that a relation is only a function if each value in the domain is only mapped into a single value in the range.

All functions need to pass what is called the "vertical line test" this means that if you draw a vertical line on the graph of the function, the vertical line can intersect the graph at most one time. If the vertical line intercepts the graph two or more times, then it is not a function.

From this we conclude that the correct option is D:

" The inverse relation must pass the vertical line test."

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Answer:

Domain: 0 ≤ x ≤ 22

Step-by-step explanation:

Given

f(x) = 2.5x

Required

Determine the domain of the function

From the question, we understand that the size of the bucket is 55 quarts

This means the maximum of the range is 55.

In other words, the maximum value of f(x) is 55

Substitute 55 for f(x) in f(x) = 2.5x

55 = 2.5x

2.5x = 55

Make x the subject

x = 55/2.5

x = 22

Also, we understand that x represents time and it's impossible to have a negative time.

So, the minimum value x can get is

x = 0

The domain can then be represented as:

Minimum ≤ x ≤ Maximum

This gives:

0 ≤ x ≤ 22

Answer:

Domain: 0 ≤ x ≤ 22

Step-by-step explanation:

Answer:

Based on the diagram, we can see that the triangle formed by the line segment with length 8 and the two dashed line segments is a right triangle with a 45° angle. This means that the other two angles of the triangle are also 45° each.

Using the properties of 45°-45°-90° triangles, we know that the length of the hypotenuse is equal to the length of either leg times the square root of 2. Therefore, we have:

x = 8 / sqrt(2) = 8 * sqrt(2) / 2 = 4 * sqrt(2)

So the value of x is option B: 8√2 / 2 or simplified, 4√2.

Answer:

Its A

Step-by-step explanation:

Answer:

80:280

Step-by-step explanation:

3.1.1 The basic property of operations used is the commutative property of multiplication.

3.1.2 The basic property of operations used is the additive inverse property.

3.1.3 The basic property of operations used is the associative property of addition.

3.1.1 The basic property of operations used in this calculation is the commutative property of multiplication. It states that the order of the factors in a multiplication problem can be rearranged without changing the product. In this case, the numbers 25 and 4 were swapped, resulting in the same product of 100.

3.1.2 The basic property of operations used in this calculation is the additive inverse property. It states that for any number, there exists an additive inverse such that when the number and its additive inverse are added together, the result is zero. In this case, adding 412 and its additive inverse (-412) results in zero.

3.1.3 The basic property of operations used in this calculation is the associative property of addition. It states that the grouping of numbers being added does not affect the sum. In this case, the numbers 25, 37, 20, 5, 30, and 7 were regrouped to facilitate easier mental addition. By grouping 25 and 37, and then grouping 20, 5, 30, and 7, the final sum of 62 is obtained, which is the same as adding all the numbers together in the original order.

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Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

Answer:

  C)  a = b  ⇒  b = a

Step-by-step explanation:

You want to identify the statement that represents the symmetric property of equality.

If a = b and b = c, then a = c. This is the transitive property of equality.

If a = b, then ac = bc. This is the multiplication property of equality.

If a = b, then b = a. This is the symmetric property of equality.

a(b +c) = ab +ac. This is the distributive property of multiplication over addition.

Answer:

To calculate the accumulated depreciation using the MACRS method, you will need to use Table 17-1 and Table 17-2 from your textbook. Here are the steps:

1. Determine the depreciation rate for the computer system based on its class life. According to Table 17-1, the class life for computers is 5 years. According to Table 17-2, the depreciation rate for 5-year property using the 200% declining balance method (which is used in the first year) is 40%. Therefore, the depreciation rate for the computer system in year 1 is 40%.

2. Calculate the depreciation for year 1 using the depreciation rate and the cost of the asset. The depreciation for year 1 is the cost of the asset multiplied by the depreciation rate, which gives us:

Depreciation for year 1 = $49,500 x 40% = $19,800

3. Determine the depreciation rate for year 2. According to Table 17-2, the depreciation rate for 5-year property using the 200% declining balance method in year 2 is 32%. Therefore, the depreciation rate for the computer system in year 2 is 32%.

4. Calculate the depreciation for year 2 using the depreciation rate and the remaining book value of the asset. The remaining book value of the asset after year 1 is the cost of the asset minus the depreciation for year 1, which gives us:

Remaining book value after year 1 = $49,500 - $19,800 = $29,700

Depreciation for year 2 = $29,700 x 32% = $9,504

5. Determine the depreciation rate for year 3. According to Table 17-2, the depreciation rate for 5-year property using the 200% declining balance method in year 3 is 19.2%. Therefore, the depreciation rate for the computer system in year 3 is 19.2%.

6. Calculate the depreciation for year 3 using the depreciation rate and the remaining book value of the asset. The remaining book value of the asset after year 2 is the cost of the asset minus the depreciation for year 1 and year 2, which gives us:

Remaining book value after year 2 = $29,700 - $9,504 = $20,196

Depreciation for year 3 = $20,196 x 19.2% = $3,880.35

Answer:

its gonna be 3ft and 10 inch

Answer:

The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.

The dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is 75 square meters

What is measurement?

Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena.

Let's assume that the rock wall is the width of the garden and the wire fencing is used for the length and the other two sides. Let's denote the length of the garden as L and the width as W.

Since we have 30 meters of fencing available, the total length of wire fencing used is:

L + 2W = 30 - W

Simplifying this equation, we get:

L = 30 - 3W

The area of the garden is:

A = LW

Substituting the expression for L from the previous equation, we get:

A = W(30 - 3W)

Expanding the expression, we get:

A = 30W - 3W²

To find the maximum area, we need to take the derivative of A with respect to W and set it equal to zero:

dA/dW = 30 - 6W = 0

Solving for W, we get:

W = 5

Substituting this value back into the expression for L, we get:

L = 15

Therefore, the dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is:

A = 5(15) = 75 square meters

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The equations of the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

From the question, we have the following equations that can be used in our computation:

h(x) = x² + 3

f(x) = 3/4x

From the above, we have

(h o h)(x) = h(h(x))

So, we have

(h o h)(x) = (x² + 3)² + 3

Also, we have

(f o f)(x) = 3/[4(3/4x)]

Evaluate

(f o f)(x) = x

Hence, the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

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