convert 170 kg/m^3 to g/cm^3.

Answer:

the answer is

Step-by-step explanation:

skewed left and 220

Answer with explanation:

[tex]S_{n}= 1 \times 2 + 2 \times 3 + 3 \times 4 + . . . + n\times(n + 1) = \frac{n(n + 1)(n + 2)}{3}\\\\S_{k}= 1 \times 2 + 2 \times 3 + 3 \times 4 + . . . + k\times(k + 1) = \frac{k \times(k + 1)(k + 2)}{3}\\\\S_{k+1}= 1 \times 2 + 2 \times 3 + 3 \times 4 + . . . + k\times(k + 1)+(k+1) \times (k+2)=\frac{(k+1) \times(k +1+ 1)(k +1+ 2)}{3}\\\\=\frac{(k+1) \times(k +2)\times(k +3)}{3}[/tex]

Answer:

B

Step-by-step explanation:

b is the closest answer to th actual aswer ad the most reasonable

Answer:

a. It is greater than the mean of the average difference of the population

Step-by-step explanation:

Given is - Exactly 10% of the students in your sample tended to over report their height more than the average student in the general population at the school.

It is very certain that the sample is biased towards the higher spectrum.

We can say that the real value of the mean is lower than the original value of our sample population.

So, option A is correct.

Same girl can be chosen for both jobs, is the probability with replacement. Multiply the individual probabilities.

(6/20) * (6/20) = 9/100

The probability of a girl being selected to do both jobs on Monday will be 3 / 38. Then the correct option is D.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

There are 14 boys and 6 girls in Emily’s class.

One student in Emily’s class is chosen each day to hand out calculators to all the students.

Also, one student in Emily’s class is chosen each day to collect calculators at the end of class.

The same student can be chosen for each job.

Each student is equally likely to be chosen.

Then the total number of the students will be

Total students = 14 + 6

Total students = 20

Then the probability a girl is selected to do both jobs on Monday will be

P = ⁶C₂ / ²⁰C₂

P = 15 / 190

P = 3 / 38

Then the correct option is D.

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Answer:

When x = –5, y =

3.

When x = –1, y =

-2.

When x = 3, y =

-4

7.88 units is the distance between points T(13, 1.6) and V(5.4, 3.7).

To find the distance between the points T(13, 1.6) and V(5.4, 3.7), we can use the distance formula:

Distance formula:

For two points [tex](x_1, y_1)[/tex]and [tex](x_2, y_2)[/tex], the distance between them is [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.[/tex]

Let's plug in the coordinates of points T and V:

Distance = [tex]\sqrt{(5.4 - 13)^2 + (3.7 - 1.6)^2}[/tex]

= [tex]\sqrt{(-7.6)^2 + (2.1)^2}[/tex]

= √(57.76 + 4.41)

= √62.17

= 7.88.

So, the distance between points T(13, 1.6) and V(5.4, 3.7) is approximately 7.88 units.

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divide total cost by ticket price

972/27 = 36 tickets

The perimeter of a square reflecting pool with an area of 183.84 square meters is approximately 54.24 meters.

The area of a square is calculated by squaring the length of one of its sides. So, to find the side length of the square reflecting pool, we need to take the square root of the area. The square root of 183.84 is approximately 13.56 meters.

Now considering that a square has four equal sides, the perimeter is calculated by multiplying the side length by 4. So, the perimeter of the pool is 13.56 multiplied by 4, which gives us approximately 54.24 meters. Therefore, the approximate perimeter of the reflecting pool is 54.24 meters.

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Answer: The value of x is 70.52°.

Step-by-step explanation:

Since we have given that

Length of ladder = 12 foot

Length of base = 4 feet

We need to find the value of 'x'.

We will use "Cosine of triangle":

[tex]\cos x=\dfrac{4}{12}\\\\x=\cos^{-1}(\dfrac{1}{3})\\\\x=70.52^\circ[/tex]

Hence, the value of x is 70.52°.

Final answer:

The first sequence is arithmetic with an explicit formula of a_n = 10 + (n - 1) × 5 and recursive formula a_n = a_(n-1) + 5, a_1 = 10. The second sequence is geometric with an explicit formula of a_n = 2 × 3^(n-1) and recursive formula a_n = a_(n-1) × 3, a_1 = 2.

Explanation:

Analysis of Sequences

The first sequence: 10, 15, 20, 25, 30... increases by a constant amount of 5 which is an indication of an arithmetic sequence. The explicit formula for an arithmetic sequence is a_n = a_1 + (n - 1)d, where a_1 is the first term and d is the common difference between the terms. In this case, a_1 = 10 and d = 5. Hence, the explicit formula is a_n = 10 + (n - 1) × 5. The recursive formula for an arithmetic sequence is a_n = a_(n-1) + d, which would translate to a_n = a_(n-1) + 5 with a_1 = 10.

The second sequence: 2, 6, 18, 54, 162... multiplies by a common ratio of 3 which classifies it as a geometric sequence. The explicit formula for a geometric sequence is a_n = a_1 × r^(n-1), where a_1 is the first term and r is the common ratio. For this sequence, a_1 = 2 and r = 3, so the explicit formula is a_n = 2 × 3^(n-1). The recursive formula for a geometric sequence is a_n = a_(n-1) × r, which for this sequence is a_n = a_(n-1) × 3 with a_1 = 2.

Answer:

The correct answer is D, "x − 2y = −1."

Step-by-step explanation:

I just completed the test.

Answer:

f/2=186 fish

186 x 2 = 372

372 fish left in the tank

Step-by-step explanation:

310/5 = 62

60 +61 +62 +63 +64 = 310

 3rd number is 62

The center of the rail would rise approximately 0.06 meters above the ground.

The expansion of the railroad rail is given as 12 centimeters. To convert centimeters to meters, you divide by 100 since there are 100 centimeters in a meter.

So, the expansion in meters is  12/100 meters.

Now, the center of the rail would rise approximately half of this expansion because the rail expands equally on both sides. Therefore, the rise in the center of the rail above the ground would be

=1/2 × 12/ 100.

Let's calculate that:

Rise in the center= 1/2 × 12/100

​Rise in the center=6/100

Now, to express this fraction in decimal form, you divide the numerator by the denominator:

Rise in the center= 0.06

So, the center of the rail would rise approximately 0.06 meters above the ground.

74% = 0.74

 multiply 25 by 0.74

25*0.74 = 18.5

 so you got 18 1/2 questions correct

Answer:

Hence, the value of y is:

1.44

Step-by-step explanation:

It is given that:

The pair of points is on the graph of an inverse variation.

(2.4, 3) and (5, y)

We have to find the missing value y in the point.

As we know that in the inverse variation the value of y is the inverse value of x by some k.

i.e. in first point (2.4,3) let 'k' be a number such that:

[tex]3=\dfrac{k}{2.4}\\\\k=7.2[/tex]

Hence, the inverse is k=7.2

Now in the second point (5,y) we find the value of y as:

[tex]y=\dfrac{7.2}{5}\\\\y=1.44[/tex]

Hence, the value of y is:

1.44

Answer:

its A about 12,000 pounds.

Step-by-step explanation:

The inverse of this function is f(x) = [tex] \sqrt[3]{x - 6} [/tex]

You can find the value of any inverse function by switching the f(x) and the x value. Then you can solve for the new f(x) value. The end result will be your new inverse function. The step-by-step process is below.

f(x) = x^3 + 6 ----> Switch f(x) and x

x = f(x)^3 + 6 ----> Subtract 6 from both sides

x - 6 = f(x)^3 ----> Take the cube root of both sides

[tex] \sqrt[3]{x - 6} [/tex] = f(x) ----> Switch the order for formatting purposes

f(x) = [tex] \sqrt[3]{x - 6} [/tex]

And that would be your new inverse function.

Answer: C)coordinate plane with two coinciding lines  has infinitely many solution.

Step-by-step explanation:

Since, By option A) If there is a coordinate plane with two parallel lines.

Then, It has no solution ( because, we get the solution at the the intersection point of the two lines but parallel lines do not intersect each other).So, it does not have infinite many solution.

By Option B) If there are two intersecting lines then we can get only one solution. So, it does not have infinite many solution.

By Option C) If there are two coinciding lines then we can get infinite number of intersection points therefore the system must have infinite number of solution.

Note: here, Option D) is same as Option B)

Therefore Only option C) is correct.

The total finance charge for a $4,250 loan at 13.25% interest compounded monthly for 24 months can be calculated using the formula: Total Finance Charge = Total Amount Repaid - Principal Amount.

The total finance charge for a $4,250 loan at 13.25% interest compounded monthly for 24 months can be calculated using the formula:

Total Finance Charge = Total Amount Repaid - Principal Amount

First, calculate the total amount repaid:

Now, calculate the principal amount:

Principal Amount = Loan Amount = $4,250

Finally, substitute the values into the formula and calculate the total finance charge:

Total Finance Charge = Total Amount Repaid - Principal Amount

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Answer:

The answers are:

1a --> divide

1b --> 3

2a --> multiply

2b --> 2

By the way, I turned in my assignment and these are the answers on the answer key, so they are correct for sure!   :)

The given functions f(x) and g(x) are not exceeding each other at any point as they are same function.

Both the graphs of these functions have same y-intercept of 0.

A function is the relation between two sets. A function relates the domain to the range.

Here,  f(x) = 5x and g(x) = 5x.

Therefore, both functions are equal and their graph will be same.

Hence, none of them exceeding the other one.

If we compare both functions with standard form: y = mx + c, it is clear that both functions have same y-intercept of 0.

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