Which of these is a unit of density?
km/m
kg/m?
kg/m
kg/m

Answer:

16 square root 6

Step-by-step explanation:

The geometric mean of 6 and 8 is \(4\sqrt{3}\)

The geometric mean of two numbers \(x_1\) and \(x_2\) is given by the formula:

\(GM = \sqrt{x_1 \times \ x_2}\)

The two given numbers are 6 and 8

That is, \(x_1=6\) and \(x_2=8\)

Substitute  \(x_1=6\) and \(x_2=8\) into the formula \(GM = \sqrt{x_1 \times \ x_2}\)

\(GM=\sqrt{6 \times 8}\)

Simplifying further:

\(GM=\sqrt{48} \\\\GM=4\sqrt{3}\)

Therefore, the geometric mean of 6 and 8 is \(4\sqrt{3}\)

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Answer:

(A) The two fractions can be 0.54 and 0.55 and something else also between 0.50 and 0.60.

(B) The two decimals equivalent to Laura’s decimal are 0.6 and 0.600.

Step-by-step explanation:

We are given that Laura shaded 60 squares on her hundredths grid. Billy shaded 50 squares on his hundredths grid.

(A) Laura shaded 60 squares on her hundredths grid, that means;

\(60 \times \frac{1}{100} = 0.60\)

Similarly, Billy shaded 50 squares on his hundredths grid, that means;

\(50 \times \frac{1}{100} = 0.50\)

The two fractions that have a value greater than Billy’s decimal and less than Laura’s decimal is given by;

This means 0.50 < x < 0.60

The two fractions can be 0.54 and 0.55 and something else also between 0.50 and 0.60.

(B) The two decimals equivalent to Laura’s decimal are;

Laura's decimal fraction is 0.60

So, 0.6 is equivalent to 0.60

and 0.600 is also equivalent to 0.60

Hence, the two decimals equivalent to Laura’s decimal are 0.6 and 0.600.

Answer:

The Answer is C

Step-by-step explanation:

To simplify the expression you will simply need to take the -7 and multiply it by each of the exponents. -7 times -3=21 and -7 times 3=-21

Hope this helps.

After using the formula for the sum of an infinite geometric series, we conclude that the given infinite series does not converge to 1.

To prove that the infinite series ∑(i=1 to ∞) 2^(i-1) equals 1, we can use the formula for the sum of an infinite geometric series.

The sum of an infinite geometric series with a common ratio r (|r| < 1) is given by the formula:

S = a / (1 - r)

where 'a' is the first term of the series.

In this case, our series is ∑(i=1 to ∞) 2^(i-1), and the first term (a) is 2^0 = 1. The common ratio (r) is 2.

Applying the formula, we have:

S = 1 / (1 - 2)

Simplifying, we get:

S = 1 / (-1)

S = -1

However, we know that the sum of a geometric series should be a positive number when the common ratio is between -1 and 1. Therefore, our result of -1 does not make sense in this context.

Hence, we conclude that the given infinite series does not converge to 1.

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Answer: The lowest possible product would be -6724 given the numbers 82 and -82.

We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference.

Next we'll multiply the numbers together.

x(x+164)

x^2 + 164x

Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2

-b/2a = -164/2(1) = -164/2 = -82

So we know one of the values is -82. We can plug that into the equation to find the second.

x + 164

-82 + 164

82

Step-by-step explanation: Hope this helps.

A Venn diagram is helpful because it allows who ever using it easily compare and contrast and find what they have in common easily.

Answer:

i need the picture of the segment to be sure but from the sounds of it, it looks true

Step-by-step explanation:

i am in algebra two so you can trust me. happy holidays and stay safe!

To give a recursive definition of the functions max and min, we can start by defining the base case and then building upon it.

For the function max, the base case would be when we have only two numbers, a1 and a2. In this case, we would simply compare the two numbers and return the maximum.

max(a1, a2) =
- a1 if a1 > a2
- a2 if a2 > a1

To extend this definition to n numbers, we can use recursion. We first find the maximum of the first n-1 numbers using the same recursive definition. We then compare this maximum with the nth number and return the greater of the two.

max(a1, a2, ..., an) =
- max(a1, a2, ..., an-1) if max(a1, a2, ..., an-1) > an
- an if an > max(a1, a2, ..., an-1)

Similarly, for the function min, the base case would be when we have only two numbers, a1 and a2. In this case, we would simply compare the two numbers and return the minimum.

min(a1, a2) =
- a1 if a1 < a2
- a2 if a2 < a1

To extend this definition to n numbers, we can use recursion. We first find the minimum of the first n-1 numbers using the same recursive definition. We then compare this minimum with the nth number and return the smaller of the two.

min(a1, a2, ..., an) =
- min(a1, a2, ..., an-1) if min(a1, a2, ..., an-1) < an
- an if an < min(a1, a2, ..., an-1)

Therefore, we have provided recursive definitions of the functions max and min, where max(a1, a2,.. an) and min(a1, a2,. an) are the maximum and minimum of the n numbers a1, a2,.... an respectively.

Let's start with the base cases:
1. max(a1): In this case, the maximum value is a1 itself, as there's only one number.
2. min(a1): Similarly, the minimum value is a1 when there's only one number.

Now, let's define the recursive steps for both max and min functions:

1. max(a1, a2, ..., an):
  - Compare a1 with the maximum value of the remaining n-1 numbers, i.e., max(a2, a3, ..., an).
  - If a1 is greater than max(a2, a3, ..., an), then max(a1, a2, ..., an) = a1.
  - Otherwise, max(a1, a2, ..., an) = max(a2, a3, ..., an).

2. min(a1, a2, ..., an):
  - Compare a1 with the minimum value of the remaining n-1 numbers, i.e., min(a2, a3, ..., an).
  - If a1 is smaller than min(a2, a3, ..., an), then min(a1, a2, ..., an) = a1.
  - Otherwise, min(a1, a2, ..., an) = min(a2, a3, ..., an).

By using these recursive definitions, you can find the maximum and minimum of n numbers a1, a2, ..., an respectively.

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Answer:

the answer is A

Step-by-step explanation:

9\(x^{2}\)\(y^{-2}\)    (insert x= -3, y=2)

9\((-3)^{2}\)(\(\frac{1}{y^{2} }\))

9\((-3)^{2}\) (\(\frac{1}{(2)^{2} }\))

9(9)( \(\frac{1}{(2)^{2} }\))

81(\(\frac{1}{4}\))

20\(\frac{1}{4}\)  or  20.25

Answer:

I think it is answer A im not sure, im not very good at math though

Answer:

600

Step-by-step explanation:

the value of 6 in 6000 is thousands

600x10=6000

Answer:

Step-by-step explanation:

Answer:

The answer is 900

good luck

Answer:

a) 0

b) 1

c) 0

Step-by-step explanation:

These are common values from the unit circle but you could also just check with your calculator. Just be sure to set it to degree mode and not radian mode.

The probability for green sedan and purple truck can be obtained as  1/3 and 1/6 respectively.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

The probability can be found by looking at the diagram as,

P(Sedan) = 2/3

And,  P(Truck) = 1/3

P(green) = 1/2

P(purple) = 1/2

(a) The probability of green sedan is given as,

P(green sedan) = P(Green) × P(Sedan)

⇒ 1/2 × 2/3 = 1/3

(b) The probability of purple truck is given as,

P(purple truck) = P(purple) × P(truck)

⇒ 1/2 × 1/3 = 1/6

Hence, the required probabilities by spinning are given as 1/3 and 1/6 respectively.

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Answer:

126 mm / 3 = 42 mm

The length of each side of this equilateral triangle is 42 mm.

Answer:

Step-by-step explanation:

\((x-h) ^2+(y-k) ^2 =r^2\)

The above equation is the general standard equation for the circle centered at (h,k) with radius r

Given that the equation of the circle is

\((x-2) ^2+(y+3) ^2 =25\)

Comparing this with the general equation we can get the center and the radius as

\((x-h) ^2+(y-k) ^2 =r^2\\(x-(2)) ^2+(y-(-3)) ^2 =5^2\)

We can now see that

h= 2

k= -3 and

r= 5

Answer:$3.25

Step-by-step explanation: 0.5 is half of 1 full pound so you would divide $6.50 by 2 to get $3.25.

Answer:

3.25. I'm pretty sure you just divide.

Answer:

The answer is C. 35, 7

Answer:

y= -7/2x -10

Step-by-step explanation:

i hope this helps :)

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

Answer:

0.4

Step-by-step explanation:

hope this helps :)

To maximize its profit, a monopolist would choose option d: q = 30 and p = 60.

To maximize profit, a monopolist would choose the outcome that corresponds to the highest profit level.

Profit is calculated as total revenue minus total cost.

Let's analyze each option:

a. q = 45 and p = 45:

In this case, the monopolist produces a quantity of 45 units and sets the price at $45.

To determine if this is the optimal choice, we need to compare the revenue and cost associated with this outcome with the other options.

b. q = 60 and p = 30:

Here, the monopolist produces a higher quantity of 60 units but sets a lower price of $30.

c. q = 30 and p = 30:

This option represents a lower quantity of 30 units and a price of $30.

d. q = 30 and p = 60:

In this scenario, the monopolist produces a lower quantity of 30 units but sets a higher price of $60.

To determine the optimal outcome, we need to consider the monopolist's cost structure.

Without information about costs, we cannot definitively identify the optimal choice.

The monopolist would consider both revenue and cost implications to maximize profit.

However, we can make some general observations:

Option a (q = 45 and p = 45) and option c (q = 30 and p = 30) result in the same price and may have similar revenue implications.

The choice between these options would depend on the cost structure and profit margins.

Option b (q = 60 and p = 30) could result in higher revenue due to the higher quantity sold, but the lower price may affect profit margins.

Option d (q = 30 and p = 60) may result in higher prices and potentially higher profit margins, but the lower quantity sold may affect revenue.

Ultimately, the monopolist would need to assess the revenue, cost, and profit implications of each option to determine the optimal outcome for maximizing profit.

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It depends on the answer and the number of y

Answer:

\(y < -2x+20\)

Step-by-step explanation:

\(2x+y < 20\)

\(\mathrm{Subtract\:}y\mathrm{\:from\:both\:sides}\)

\(2x+y-y < 20-y\)

\(\mathrm{Simplify}\)

\(2x < 20-y\)

\(\mathrm{Divide\:both\:sides\:by\:}2\)

\(\frac{2x}{2} < \frac{20}{2}-\frac{y}{2}\)

\(\mathrm{Simplify}\)

\(x < \frac{20-y}{2}\)

\(Also\) \(written\) \(as\) \(y < -2x+20\)

Answer:

y= mx + b

y< -2x +20

Step-by-step explanation:

2x+y<20

Subtract 2x

from both sides of the inequality. y<20

−2x

Rearrange terms. y<−2x+20

b. Distribution B has a higher variance is an accurate statement regarding these two distributions.

Variance is a measure of the spread of a probability distribution. It tells us how far away from the mean values in the distribution are. The higher the variance, the more spread out the values are.

In this case, Distribution B has a higher variance than Distribution A. To calculate the variance of a distribution, we use the formula:

\($$\sigma^2 = \sum_{i=1}^{n} (x_i - \mu)^2 \cdot P(x_i)$$\)

Where \($x_i$\) is a possible value, \($P(x_i)$\) is the probability of that value, and \($\mu$\) is the mean of the distribution. If we use this formula to calculate the variance of each distribution, we'll find that the variance of Distribution B is larger than the variance of Distribution A.

This means that the values in Distribution B are more spread out and less consistent than the values in Distribution A, making Distribution B have a higher variance.

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Given that the equation of the line in the diagram is `y = 5 - x`. The line cuts the y-axis at P. So, the coordinates of point P are (0,5) and the gradient of the line is `-1`.

The equation of the line can be written as `y = -1x + 5`.Therefore, the y-intercept of the line is 5. Therefore, the coordinates of point P are (0,5).

To find the gradient of the line, we have to write the equation of the line in the form of `y = mx + c`.

We can rewrite `y = -1x + 5` as `y = (-1)x + 5`.From the above form of the equation, we can see that the gradient `m` is `-1`.Therefore, the gradient of line 1 is `-1`.Hence, the required answer is: Coordinates of point P is `(0,5)`.The gradient of the line is `-1`.

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Answer:

Shade in the following boxes: 24, -9.0, 1, 0, and 35

Step-by-step explanation:

Integers are whole numbers (not fractions or decimals) that can be positive or negative.

The correct answer is d. Y(t) = 2 cos 4t + 2 sin 4t.

The solution to the differential equation y" + 16y = 0, y(0) = 2, y'(0) = 8 is:

y(t) = 2 cos(4t) + (8/4) sin(4t) = 2 cos(4t) + 2 sin(4t)

To obtain this solution, we first find the characteristic equation:

r^2 + 16 = 0

Solving for r, we get:

r = ±4i

Thus, the general solution is:

y(t) = c1 cos(4t) + c2 sin(4t)

Using the initial conditions y(0) = 2 and y'(0) = 8, we get:

c1 = 2 and c2 = 2

Substituting these values, we get the solution:

y(t) = 2 cos(4t) + 2 sin(4t) = 2 cos(4t) + (8/4) sin(4t)

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Answer:

y=-5/9

Step-by-step explanation:

it says 9y=-5

divide both sides by 9

y=-5/9