Which of the following statements best describes the location of -(-6) on a number liner

A. It is 6 units to the left of 0.

B. It is 6 units to the night 6.

C. It is 6 units to the right of 0.

D. It is 6 units to the left of 6.​

Answer:

m < 5

Step-by-step explanation:

10m-5 < 45

Add 5 to both sides

10m - 5 + 5 < 45 + 5

Simplify

10m < 50

Divide both sides by 2

10m/10 < 50/10

Simplify

m < 5

Kavinsky

The  work done by nonconservative forces if an object with mass 10kg is shot up in the air at 30ms returns to the same height with speed 27m/s, is −855J.

To determine the work done by nonconservative forces, we need to calculate the change in mechanical energy of the object. The mechanical energy is the sum of the object's kinetic energy (KE) and potential energy (PE). If the object returns to the same height, the change in potential energy is zero.

The initial kinetic energy is given by KE1 = (1/2) * mass * velocity^2 = (1/2) * 10 kg * (30 m/s)^2 = 4500 J.

The final kinetic energy is KE2 = (1/2) * mass * velocity^2 = (1/2) * 10 kg * (27 m/s)^2 = 3645 J.

The change in kinetic energy is ΔKE = KE2 - KE1 = 3645 J - 4500 J = -855 J.

Since the object returns to the same height, the change in potential energy is zero, so ΔPE = 0 J.

The work done by nonconservative forces is equal to the change in mechanical energy, which is given by ΔE = ΔKE + ΔPE = -855 J + 0 J = -855 J.

Therefore, the correct answer is O −855J.

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Answer:

\(A=60^{\circ}\)

Step-by-step explanation:

Given \(2\cos A-1=0\),

Add 1 to both sides:

\(2\cos A=1\)

Divide both sides by 2:

\(\cos A=\frac{1}{2}\)

Take the inverse cosine of each side (note that the question stipulates that A is acute):

\(\arccos(\cos A)=\arccos(\frac{1}{2})\)

\(A=\arccos(\frac{1}{2}), A\in (0^{\circ}, 90^{\circ}),\\A=\boxed{60^{\circ}}\)

The alternative hypothesis would be: The proportion of people who own cats is smaller than 90%.

The null hypothesis for this test would be: The proportion of people who own cats is equal to or greater than 90%.

To conduct the hypothesis test, we would need to collect a random sample of 1400 individuals and determine how many of them own cats. Based on this information, we could calculate the sample proportion of cat owners and use this to test the claim that the population proportion is smaller than 90%.

We would use a one-tailed hypothesis test with a significance level of 0.005. If the p-value for our test is less than 0.005, we would reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis that the proportion of people who own cats is smaller than 90%.
Hi! I'd be happy to help you with this question. You want to test the claim that the proportion of people who own cats is smaller than 90% at the 0.005 significance level.

To do this, we will set up our null and alternative hypotheses as follows:

Null Hypothesis (H0): The proportion of people who own cats is equal to 90% (p = 0.90)
Alternative Hypothesis (H1): The proportion of people who own cats is smaller than 90% (p < 0.90)

Here's a step-by-step explanation of how to test this claim:

1. Determine the sample size (n) and the number of cat owners in the sample (x): In this case, n = 1400, and x = 615.

2. Calculate the sample proportion (p-hat): p-hat = x/n = 615/1400 ≈ 0.439.

3. Determine the significance level (alpha): In this case, alpha = 0.005.

4. Calculate the standard error (SE) of the sample proportion: SE = sqrt[p*(1-p)/n] = sqrt[0.9*(1-0.9)/1400] ≈ 0.008.

5. Calculate the z-score: z = (p-hat - p)/SE = (0.439 - 0.9)/0.008 ≈ -57.63.

6. Find the critical z-value for a one-tailed test at the 0.005 significance level: z-critical = -2.576 (from a standard normal distribution table).

7. Compare the calculated z-score with the critical z-value: Since the calculated z-score (-57.63) is less than the critical z-value (-2.576), we reject the null hypothesis.

In conclusion, based on this analysis, we have enough evidence to support the alternative hypothesis that the proportion of people who own cats is smaller than 90% at the 0.005 significance level.

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If A and B are independent events, it means that the occurrence of one event does not affect the probability of the occurrence of the other event. In other words, the probability of event A happening is the same whether or not event B happens and vice versa.

To illustrate this, let's consider an example. Say we have two events: flipping a coin and rolling a dice. The probability of getting heads on the coin is 1/2 and the probability of rolling a 3 on the dice is 1/6.

These events are independent because the outcome of one event does not affect the outcome of the other event. So, the probability of getting heads on the coin AND rolling a 3 on the dice is (1/2) x (1/6) = 1/12.

Another way to check if two events are independent is to use the formula P(A and B) = P(A) x P(B). If the result of this equation is true, then the events are independent. If not, they are dependent.

Overall, understanding the concept of independent events is important in probability theory because it helps us calculate the probability of multiple events happening simultaneously.

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The correct answer is a. The mean of the sampling distribution is always equal to the population mean.

This is known as the central limit theorem, which states that as the sample size increases, the sampling distribution will approach a normal distribution with a mean equal to the population mean. However, the standard deviation of the sampling distribution (option b) is not always equal to the population standard deviation and the shape of the sampling distribution (option c) is not always approximately normal, as it depends on the sample size and the underlying population distribution. Therefore, option d is incorrect. The correct is (a). The mean of the sampling distribution is always equal to the population mean. This is due to the fact that a sampling distribution is created by taking multiple random samples from the population, and as the number of samples increases, their mean tends to converge to the population mean. Options (b) and (c) are not always true, as the standard deviation and shape of the sampling distribution depend on the sample size and the underlying population distribution.

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Answer:   √175 or simplified to 5√7

Step-by-step explanation:

16 squared is 256 and 9 squared is 81.

256 - 81=175

the answer is √175 or it can be simplified to 5√7

Answer:

200 per-hour

Step-by-step explanation:

12x50=600

600÷3

200

Answer:

1800

Step-by-step explanation:

I dont know what you mean by can shoe but if you meant to put can make this is the answer. 50 times 12 = 600 Dollars. 600 Dollars times 3 = 1800.

To determine the cost allocated to the land, we need to calculate the proportionate cost of the land in relation to the total appraised value of the real estate. Therefore, the cost allocated to the land is $32,500.

The total cost paid for the real estate is $310,000 plus $15,000 in closing costs, totaling $325,000. To allocate the cost to the land, we need to calculate the proportion of the land's appraised value to the total appraised value of the real estate.

The total appraised value of the real estate is the sum of the appraised values of the land, building, and land improvements, which amounts to $35,000 + $105,000 + $210,000 = $350,000.

To calculate the cost allocated to the land, we divide the appraised value of the land by the total appraised value of the real estate and multiply it by the total cost paid:

Cost allocated to land = (Appraised value of land / Total appraised value) * Total cost

= ($35,000 / $350,000) * $325,000

= 0.1 * $325,000

= $32,500

Therefore, the cost allocated to the land is $32,500. This allocation is based on the relative appraised value of the land compared to the total appraised value of the real estate.

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The volume of the solid with equation y = 1/4x^2, x=2when rotated the volume is  π/2 cubic units.

To find the volume of the solid obtained by rotating the region bounded by y=1/4x^2 and x=2 about the x-axis, we can use the disk or washer method.

First, let's sketch the region and the solid. The region is bounded by y=1/4x^2 and x=2, and looks like a quarter of a parabola with its vertex at the origin and passing through (2,1). When we rotate this region about the x-axis, we get a solid that looks like a bowl with a flat bottom and a curved side.

To find the volume of this solid, we need to integrate the area of each disk or washer. Since the region is bounded by x=2, we can set up our integral as follows:

V = ∫[0,2] π(1/4x^2)^2 dx

This represents the sum of the volumes of all the disks or washers from x=0 to x=2. Simplifying the integral, we get:

V = π/16 ∫[0,2] x^3 dx
V = π/16 * [x^4/4] from 0 to 2
V = π/16 * (2^4/4 - 0)
V = π/2

Therefore, the volume of the solid obtained by rotating the region bounded by y=1/4x^2 and x=2 about the x-axis is π/2 cubic units.

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The points on the curve where the tangent is horizontal are (1, 5) and (-3, 37).

To find the points on the curve y = x3 + 3x2 – 9x + 10 where the tangent is horizontal, we need to find the derivative of the curve and set it equal to zero.
The derivative of y = x3 + 3x2 – 9x + 10 is:
y' = 3x2 + 6x - 9
Setting the derivative equal to zero and solving for x gives us:
3x2 + 6x - 9 = 0
Using the quadratic formula, we can find the values of x that make the derivative equal to zero:
x = (-6 ± √(62 - 4(3)(-9))) / (2(3))
Simplifying gives us:
x = (-6 ± √(36 + 108)) / 6
x = (-6 ± √144) / 6
x = (-6 ± 12) / 6
This gives us two values of x:
x = 1 and x = -3
Plugging these values of x back into the original equation gives us the points on the curve where the tangent is horizontal:
When x = 1, y = 13 + 3(1)2 – 9(1) + 10 = 5
When x = -3, y = 13 + 3(-3)2 – 9(-3) + 10 = 37
Therefore, the points are (1, 5) and (-3, 37).

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Answer:

I don’t think nobody can help you here because the picture doesn’t show up, sorry

Answer:

B) y=-x+8

y=2x+5

Step-by-step explanation:

B.  If you substite 1 for x and 7 for y, they both work.

Answer:

I'm pretty 100% sure your answer is A). 55 Sorry if I'm wrong

Step-by-step explanation:

Good luck!!!!!!! (SEE ATTACHED FOR EXPLANATION!)

Answer:

Even my calculator can't figure it out, but try c.

Step-by-step explanation:

Comparing a census of a large population to a sample drawn from it, we expect that the sample is usually a more practical method of obtaining the desired information.

This is because a census involves collecting data from every individual in the population, which can be time-consuming, expensive, and logistically challenging, especially for large populations. In contrast, a sample is a smaller, more manageable subset of the population, making it easier to gather and analyze data.

However, it's essential to note that the accuracy of the observations in the census is generally higher than in the sample, as the census covers the entire population, eliminating any sampling error. In comparison, a sample may be subject to various biases or inaccuracies, depending on the sampling technique used and the sample size.

To ensure that the sample accurately represents the population, it is crucial to select a sample that is both random and of an appropriate size. While the sample doesn't need to be a large fraction of the population, it should be sufficiently large to provide reliable estimates and minimize sampling error. Overall, sampling is a practical and efficient approach to obtaining information about a population when properly conducted, balancing the need for accuracy with resource constraints.

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Answer:

Area of shaded rectangle = 42 cm²

55%

Step-by-step explanation:

The length of the shaded area is equal to the length of the white rectangle.

Therefore, length of shaded rectangle = 7 cm

The width of the shaded rectangle is equal to the length of the white rectangle minus two widths of the white rectangle.

Therefore, width = 7 - (2 x 0.5) = 6 cm

Area of shaded rectangle = width x length

                                          = 6 x 7

                                          = 42 cm²

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

Perimeter of a square = 4 × side length

If the perimeter of the square is 40 cm,
then the side length = 40 ÷ 4 = 10 cm

Area of a square = side length x side length

⇒ area of this square = 10 x 10 = 100 cm²

To determine the shaded area, calculate the areas of the 2 white triangles and subtract these from the area of the square.

Area of a triangle = 1/2 x base x height

⇒ area of left triangle = 1/2 x (10 - 7) x 10 = 15 cm²

⇒ area of right triangle = 1/2 x 10 x (10 - 4) = 30 cm²

Therefore, shaded area = 100 - 15 - 30 = 55 cm²

To calculate the percentage, divide the shaded area by the area of the square and multiply by 100:

(55 ÷ 100) × 100% = 55%

Answer:

ok dont panic all you have to do is if your looking for speed you will divide d distance over time and if your looking for distance speed over time and for time total distance over speed

Step-by-step explanation:

so all you have to do is find out what your looking for.

Answer:

Looks correct.

Step-by-step explanation:

The lines (absolute value) turn the negatives to positive.

Hope you get it correct!

The maturity date of the loan is July 31st.

To find the maturity date, you first need to find the number of days between May 11th and the maturity date. The loan was taken out for 82 days, so you add 82 days to May 11th to find the maturity date.

For example, if May 11th is day 1, then day 82 would be July 31st. Therefore, the maturity date of the loan is July 31st.

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The formula used to represent the vertical line is given by x = k where 'k' is any constant value.

As given in the question,

Therefore, the formula which represent the vertical line is equal to x = k where 'k' represents x-intercept.

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Step-by-step explanation:

C  rate =   1 chapter / 9 hr   = 1/ 9    chap/hr

P rate = 1/6

together  :

1 chapter / ( c rate + p rate)  =   1 /( 1/9 + 1/6) =  1/ ( 2/18 + 3/18) = 1/ (5/18) =

    18/5 hr   = 3  3/5 hr

It would take Cynthia and Phillip 3.6 hours working together to proof a chapter of Hawkes Learning Systems' Introductory Algebra book.

To find out how long it would take Cynthia and Phillip working together to proof a chapter of Hawkes Learning Systems' Introductory Algebra book, we can use the work formula:

Work = Rate × Time

First, we'll find the individual rates for Cynthia and Phillip:
- \(Cynthia's rate:\frac{1 chapter}{9 hours}\)
- \(Phillip's rate:\frac{1 chapter}{6 hours}\)
Now, we'll add their rates together to find their combined rate:
\(Combined rate = \frac{1}{9}  + \frac{1}{6}\)

To add these fractions, we need a common denominator, which is 18:
\(Combined rate = \frac{2}{18}  + \frac{3}{18}=\frac{5}{18}\)

Now, we'll use the work formula to find the time it would take for them to complete the proofreading together. Since they're working on 1 chapter, we can set Work equal to 1:
\(1 = \frac{5}{18} (time)\)

Next, we'll solve for Time:
\(Time = 1 (\frac{5}{18})\)
\(Time=1 (\frac{18}{5})\)
\(Time = \frac{18}{5} = 3.6 hours\)

So, it would take Cynthia and Phillip 3.6 hours working together to proof a chapter of Hawkes Learning Systems' Introductory Algebra book.

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The number 9550000 can be arranged in a total of 8!/(4!4!) = 70 different ways.

Digits are numerals or numbers used for counting, measuring, and representing quantities. They are the building blocks of mathematics, and are used to express amounts, relationships, and orders of magnitude. Digits are also used in computers and other digital devices to store and communicate information.

The 8 digits of 9550000 can be arranged using the formula for permutation: nPr = n!/(n-r)!

In this case, n = 8 and r = 8. So, the number of permutations of the 8 digits of 9550000 will be 8!/(8-8)! = 8!/(0!) = 8! = 40320.

However, we need to account for the fact that there are 4 zeros in the number 9550000. To do this, we need to divide the number of permutations by 4! (factorial of 4) to account for the 4 identical digits.

Therefore, the total number of ways the digits in the number 9550000 can be arranged is 40320/4! = 70.

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Forty percent of the students surveyed take the bus to school, as indicated by the circle graph.

To calculate the percent of students who take the bus to school, we can use the information provided in the circle graph. There are a total of 50 students surveyed, and the graph indicates that 20 of them take the bus. To find the percent, we can first divide the number who take the bus (20) by the total number surveyed (50). This gives us 0.4, which, when multiplied by 100, is 40%. Therefore, 40% of the students surveyed take the bus to school. Hence, Forty percent of the students surveyed take the bus to school, as indicated by the circle graph.

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Answer:

  d. √(1/(x+1))

Step-by-step explanation:

Just as operations can be performed on numbers and variables, so can operations be performed on functions. Here, you're asked to simplify the ratio of two functions.

  \(\displaystyle\left(\frac{g}{f}\right)(x)=\frac{g(x)}{f(x)}=\frac{\sqrt{x-1}}{\sqrt{x^2-1}}=\sqrt{\frac{x-1}{x^2-1}}\)

At this point, you're supposed to know the factoring of the difference of squares:

  \(\displaystyle=\sqrt{\frac{x-1}{(x-1)(x+1)}}=\boxed{\sqrt{\frac{1}{x+1}}}\)

Answer:

Step-by-step explanation:

If you are asking how many dumnplings he can make well this is the answer:

1) 1500÷20= 75

So he can make 75 dumplings

Answer:

Infinite solutions.

Step-by-step explanation:

 y = 5 - 2x

 2x + y = 5  ---------(I)

 a₁ = 2  ; b₁ = 1  and c = 5

4x + 2y = 10

a₂ = 4  ; b₂ = 2   and c₂  = 10

\(\sf \dfrac{a_1}{a_2}=\dfrac{2}{4}=\dfrac{1}{2}\\\\\dfrac{b_1}{b_2}=\dfrac{1}{2}\\\\\dfrac{c_1}{c_2}=\dfrac{5}{10}=\dfrac{1}{2}\)

⇒  \(\sf \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}=\dfrac{1}{2}\)

So, the line are coincident and has infinite solutions.

Answer:

69.9 (nice)

Step-by-step explanation:

To solve this, use the order of operations: PEMDAS (Parenthasis, exponents, Multiplication/Division, Addition/subtraction) In order.

1. Solve in the parenthasis, (2+3³).  3³ = 27, so 2+27 is 29. Plug in 29 to the equation: 5³-29×1.9

2. Next is exponents. 5³ has an exponent, which equals 125. Now you plug that into the equation to be 125-29×1.9

3. Now comes multiplication/division. In this case, it's multiplication. -29×1.9 . This equals -55.1, and you once again plug  this into the equation to simplify which gives you 125 - 55.1

4. Last in the order of PEMDAS is addition/subtraction. The final simplification of the equation is 125 - 55.1 which is subtraction and this equals 69.9 (nice)

So in conclusion, your answer is 69.9 (nice)

Answer: B

Step-by-step explanation:

Answer:

Onyango is 48, his daughter is 16 and his son is 12

Step-by-step explanation:

Let's call Onyango's age x, therefore his daughter and son's ages are 1/3 x and 1/4 x respectively. We can write:

x + 8 = 12 + (1/3x + 8 + 1/4x + 8)

x + 8 = 7/12x + 28

5/12x = 20

x = 48 → 1/3x = 48 / 3 = 16, 1/4x = 48 / 4 = 12