yolanda spends 8 2⁄3 hours per month playing soccer. approximately how many hours does she play soccer in a year? (there are twelve months in a year.)

The correct answer is option (c) 2.06.  For every dollar of debt, Blaine and Lindsay have approximately $2.06 in assets

The asset-to-debt ratio for Blaine and Lindsay McDonald can be calculated by dividing their total assets by their total debt. Using the given values, the calculation would be as follows:

Asset-to-debt ratio = Total assets / Total debt

                   = $346,000 / $168,000

The asset-to-debt ratio is a financial metric that provides insight into the financial health and leverage of an individual, company, or entity. It measures the proportion of assets to debt and is used to assess the ability to meet financial obligations and the level of risk associated with the amount of debt.

In this case, Blaine and Lindsay McDonald have total assets valued at $346,000 and total debt of $168,000. By dividing the total assets by the total debt, we obtain the asset-to-debt ratio of approximately 2.06. This means that for every dollar of debt, Blaine and Lindsay have approximately $2.06 in assets. A higher asset-to-debt ratio generally indicates a stronger financial position and lower risk, as there are more assets available to cover the debt obligations.

Learn more about  asset-to-debt ratio here:

https://brainly.com/question/30253017

#SPJ11

The question requires changing feet per second into miles per hour

The unit rate in miles per hour is 5.5 miles per hour

8 feet = 0.00151515 miles

1 second = 0.000277778 hour

unit rate in miles per hour = number of miles / number of hours

= 0.00151515 mile / 0.000277778 hour

= 5.4545356363714 miles per hour

Approximately, 5.5 miles per hour to the nearest tenth

Read more:

https://brainly.com/question/8406966

The correct time in the clock will be 8:40

The acute angles that are between the angle 30 and 60 is 35, 40,45, 50, 55 degrees.

According to the question, we are to determine the time in the clock if the angle between the minute hand and the hour hand of a clock is between 30 degree and 60 degrees.

The time 4:20 is wrong since the minute and hour hand are on each other while the time 10:45 D. 12:15 is wrong since the angle between the hands will be 90 degrees

Hence the correct time in the clock will be 8:40

Learn more on angle in a clock here: https://brainly.com/question/82007

#SPJ1

The value of ㏒₁₀√3 - 1 / 2 ㏒₁₀2 is 1 / 2.㏒₁₀(1.5)

Given: To evaluate ㏒₁₀√3 - 1 / 2 . ㏒₁₀2

What are logarithms?

If a equation is given in the form of aᵇ = c, then ㏒ₐc = b or in a definitive way a logarithm is the power to which a number must be raised in order to get a number. As here 'a' is raised to the power 'b' to given a number c, so the number base 'a' if be raised to some power of 'b' then it will yield a number 'c'.

For example, 10² = 100 which can be written as ㏒₁₀100 = 2 by the following property of logarithm that is ㏒ₐ(bⁿ) = n.㏒ₐb.

So,  ㏒₁₀100 = ㏒₁₀10² = 2.㏒₁₀10 = 2 [ Another property ㏒ₐa = 1]

Some basic properties on logarithm operations are

1) ㏒ₙa + ㏒ₙb = ㏒ₙ(ab)

2) ㏒ₙa - ㏒ₙb = ㏒ₙ(a / b) [NOTE: ㏒ₙa - ㏒ₙb is not commutative]

3) ㏒ₐ(bⁿ) = n.㏒ₐb

4) ㏒ₐa = 1

Now let's solve the sum: ㏒₁₀√3 - 1 / 2 ㏒₁₀2

㏒₁₀√3 - 1 / 2 ㏒₁₀2 = ㏒₁₀(3)\(^{\frac{1}{2}}\) - 1 /2 .㏒₁₀2 [ Root means 1 / 2 power]

= 1 / 2.㏒₁₀(3) - 1 / 2.㏒₁₀(2)   [ ㏒ₐ(bⁿ) = n.㏒ₐb ]

= 1 / 2.(㏒₁₀(3) - ㏒₁₀(2))

= 1 / 2.(㏒₁₀(3 / 2)                  [ ㏒ₙa - ㏒ₙb = ㏒ₙ(a / b) ]

= 1 / 2.㏒₁₀(1.5)

Hence value of ㏒₁₀√3 - 1 / 2 ㏒₁₀2 = 1 / 2.㏒₁₀(1.5)

Know more about "logarithm functions" here: https://brainly.com/question/20785664

#SPJ9

Answer:

60 degrees

Step-by-step explanation:

All the angles are the same so 180 divided by 3 is 60

Here is the answer:

75 - 40 = t

Brainliest pls

Answer:

75=T+40

35

Step-by-step explanation:

75=T+40 subtract 40 from both sides and we get 35

Answer:

B. 70,000

Step-by-step explanation:

(2+3i)+2i(2+3i) = 1(2+3i) + 2i(2+3i) = (1+2i)(2+3i)

Using the fundamental theorem of arithmetic, we have proven that (a, 6) [a, b] = ab for positive integers a and b.

To prove that (a, 6) [a, b] = ab for positive integers a and b using the fundamental theorem of arithmetic, we'll proceed as follows:

Step 1: Prime factorization of a and 6:

Using the fundamental theorem of arithmetic, we can write a and 6 as products of their prime factors:

a = p1^k1 * p2^k2 * ... * pn^kn,

6 = 2^1 * 3^1.

Step 2: Finding the greatest common divisor (a, 6):

To find the greatest common divisor (a, 6), we consider the common prime factors between a and 6 and take the minimum exponent for each prime factor. In this case, the common prime factor is 2 with an exponent of 1. Therefore, (a, 6) = 2^1.

Step 3: Prime factorization of [a, b]:

Using the fundamental theorem of arithmetic, we can write [a, b] as a product of its prime factors:

[a, b] = p1^m1 * p2^m2 * ... * pn^mn.

Step 4: Finding the least common multiple [a, b]:

To find the least common multiple [a, b], we consider the prime factors between a and b and take the maximum exponent for each prime factor. In this case, we have already determined that the common prime factor is 2 with an exponent of 1. Therefore, [a, b] = 2^1.

Step 5: (a, 6) [a, b] = ab:

Substituting the values we found, we have:

(a, 6) [a, b] = 2^1 * 2^1 = 2^2 = 4.

Since ab = 4, we have proven that (a, 6) [a, b] = ab for positive integers a and b using the fundamental theorem of arithmetic.

Learn more about the least common multiple at:

brainly.com/question/10749076

#SPJ11

Answer:

42.1 ft; 92.5 ft²

Step-by-step explanation:

Click the brainiest if you find this answer helpful:> Have a great day

The perimeter of object is 42.1 feet and Area of each object is 92.5 ft².

Here,

The given object is rectangle in shape.

Length = 14.8 ft

Width = 6.25 ft

We have to find the perimeter and area of given object.

What is the perimeter of rectangle?

The perimeter of rectangle is the total distance covered by its boundaries or the sides.

Now,

The given object is rectangle in shape.

Length = 14.8 ft

Width = 6.25 ft

Perimeter of object = 2( length + breadth) = 2( 14.8 + 6.25 ) = 42.1 ft

And, Area of object = length x breadth = 14.8 x 6.25 = 92.5 ft^2

Hence, The perimeter of object is 42.1 feet and Area of each object is 92.5 ft².

Learn more about the Area of rectangle visit:

https://brainly.com/question/25292087
#SPJ2

Answer:

42-26

Step-by-step explanation:

it's ok and i think you are correct on your answer

The approximate standard deviation of the sampling distribution of the proportion is 3.8%.

A standard deviation (or) is a measure of how widely distributed the data is in reference to the mean.

A low standard deviation indicates that data is clustered around the mean, whereas a high standard deviation implies that data is more spread out.

Now, as per the questions;

Whenever the population size is so very large, the PQ/N factor approaches zero, and the standard deviation equation becomes:

σp = √( PQ/n)

We don't know how so many listeners this same radio station has in this case, but we can assume it's a large number.

P = probability of listening at work, is 14% or 0.14

Q = probability of not listening at work, is (100- 14)% = 86% = 0.86

N = sample size, is 85

The sample standard deviation is then

σp = √(14×.86/85)

σp = 0.0376

σp = 3.8% (approximately)

Therefore, the approximate vale of the standard deviation is found to be 3.8 %.

To know more about the standard deviation, here

https://brainly.com/question/12402189

#SPJ4

The correct question is-

If 14% of the listeners of a radio station listen to it while they are at work, what is the approximate standard deviation of the sampling distribution of the proportion for samples of size 85?

Answer:

-4

Step-by-step explanation:

the function simplified is -4 i have no way to explain just trust

Answer:

16.3°

Step-by-step explanation:

This question above is a Trigonometry question that is solved using the formula of Sine

sin θ = Opposite/Hypotenuse

Opposite = The vertical height of the course = 984 m

Hypotenuse = The distance the skiers raced down the mountain = 3514 m

θ = The average angle of the ski course with the ground = ?

sin θ = 984 m/3514 m

sin θ = 0.2800227661

θ = arc sin (0.2800227661)

= 16.261563463°

≈ 16.3°

Therefore, the average angle of the ski course with the ground is 16.3°

Answer:

Mean: 10.8

Median: 12

Mode: 13

Step-by-step explanation:

I hope this is what you were looking for! If you have and questions ask in the comments :D

t3(x)  = f(a) + f'(a)(x-a) + (1/2)f''(a)(x-a)^2 + (1/6)f'''(a)(x-a)^3.

To find t3(x) we need to find the coefficient of polynomials by using the formula for nth degree taylor polynomial.

what is taylor polynomials?

This are approximations of a function, which become generally better as n increases. It is an infinite sum of terms that are expressed in terms of the function's derivatives at a single point.

using the nth degree taylor polynomial formula:

tn(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)^2/2! + f'''(a)(x-a)^3/3! + ...... + f^(n)(a)(x-a)^n/n!

where f^(n)(a) is the nth derivative of f evaluated at x=a.

By calculating we get t3(x) as

t3(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)^2/2! + f'''(a)(x-a)^3/3!

       = f(a) + f'(a)(x-a) + (1/2)f''(a)(x-a)^2 + (1/6)f'''(a)(x-a)^3.

To learn more about taylor polynomials check the given link brainly.in/question/48481276

#SPJ4

Answer:

C

Step-by-step explanation:

Answer:

Given:  P(A ∩ B) = 0, P(B) = 0.9, P(A ∪ B) = 0.9.

We have: P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

=>  0.9 = P(A) + 0.9 - 0

=> P(A) = 0.9 - 0.9 = 0

Hope this helps!

:)

Answer: i dont understand what are you speaking

Step-by-step explanation:

???

Answer:

It means (x+2) is a factor and x = -2 is a root.

Step-by-step explanation:

I know this bc i took the test and got it right

The solution to the differential equation dy/dt + 2y = 0 where y(0) = 3 is y = 3e^(-2t).

The solution to the differential equation dy/dt + 2y = 0 can be found by separating the variables and integrating both sides.

First, separate the variables:
dy/dt = -2y

Next, integrate both sides:
∫dy/y = ∫-2dt

This gives us:
ln(y) = -2t + C

Now, solve for y:
y = e^(-2t+C)

Since we know that y(0) = 3, we can plug in 0 for t and 3 for y to solve for C:
3 = e^(C)
C = ln(3)

So the solution is:
y = e^(-2t+ln(3))

Simplifying further gives us:
y = 3e^(-2t)

Therefore, the solution to the differential equation dy/dt + 2y = 0 where y(0) = 3 is y = 3e^(-2t).

You can learn more about differential equation at

https://brainly.com/question/1164377

#SPJ11

Answer:

The answer will be 24

Step-by-step explanation:

Hope this Helped

Answer:

24

Step-by-step explanation:

Step 1

The order of rotational symmetry of an equilateral triangle is 3. This means that if you rotate a triangle about its center by 120 degrees or a multiple of 120 degrees not above 360, it carries the equilateral triangle onto itself.

Step 2

The answers will therefore be

1) A 240-degree rotation about the center T carries the equilateral triangle onto itself.

2) A 360-degree rotation about the center T carries the equilateral triangle onto itself.

Hence the two students with true statements are student 2 and student 5

Answer:

4/6

Step-by-step explanation:

Im pretty sure***

but if a dice has 6 sides, and you have to get something less than 5, which is 1-4, which is 4 numbers, so 4 out of 6 total is 4/6

Answer:

768

Step-by-step explanation:

The probability that exactly 17 households own a DVD player is 0.0124.

Given:

The probability that a house hold in centercity owns a DVD player is = 53%.

So, p = 0.53

The probability that a house hold in centercity does not own a DVD player is = 100% - 53% = 47%

So, q = 0.47

The sample size is 22 households in the city.

So, n = 22

We have to calculate the probability that exactly 17 households own a DVD player.

So, r = 17

The formula to be used in binomial experiment is:

P (r) = \(\frac{n!}{r! (n -r)!}\) × \(p^{r}\) ×\(q^{n-r}\)

The probability that exactly 17 households own a DVD player will be,

= \(\frac{22!}{17! (22 - 17)!}\) × \(0.53^{17}\) ×\(0.43^{22-17}\)

= \(\frac{22!}{17! (5)!}\)× \(0.53^{17}\) ×\(0.43^{5}\)

= 0.0124

Therefore, the probability that exactly 17 households own a DVD player is 0.0124.

To know more about probability here. https://brainly.com/question/28383716#

#SPJ4

The value of f(5)  in the function are - 9 . Option B

A function can be defined as an expression, rule or law that shows the relationship between a dependent variable or independent variable.

Given the functions;

To determine the value f(5),  substitute the value of x as 5

x > 1 , so we use equation 2

From function (2)

f(5) = 1 - 2x

f(5)  = 1 - 2(5)

f(5) = 1 - 10

f(5)  = - 9

Thus, the value of f(5)  in the function are - 9 . Option B

Learn more about functions here:

https://brainly.com/question/2328150

#SPJ1