❗️❗️PLEASE HELP QUICK❗️
(a)Find the greatest common factor of 15 and 10.
(b)Use the GCF to factor 15 -10.
(a) GCF = ?

(b) 15 – 10 = ? x ( ? - ?)

Answer:

Step-by-step explanation:

7=c/3-1

add 1 to both sides

8=c/3

to get rid of the 3, multiply both sides 3

24=c

d. Expected life in years of the depreciable asset. The acceptable way to express the useful life of a depreciable asset is in terms of the expected life in years.

The useful life refers to the period of time over which the asset is expected to contribute to the revenue-generating activities of a business.

While options a, b, and c may be relevant factors for certain specific assets (such as units produced, hours of productivity, or miles driven), they do not encompass the overall concept of useful life. Useful life is a broader measure that takes into account the anticipated duration of productive use, regardless of specific output or activity metrics.

Expressing the useful life in years provides a common standard for comparison and allows for consistency in depreciation calculations and financial reporting. It is a practical and widely accepted approach to estimating the lifespan of a depreciable asset.

It is worth noting that the estimated useful life in years may vary depending on the nature of the asset and industry practices. It is typically determined based on factors such as technological advancements, physical wear and tear, economic obsolescence, and the intended purpose of the asset.

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Answer:

I see how much gen z are addicted to their phone, this means we are most likely to stay that way , this matters we need to have less screen time ye?

Answer:

  (8, 12)

Step-by-step explanation:

You want to solve the system ...

Add the two equations:

  (2x -y) +(y -x) = (4) +(4)

  x = 8 . . . . . . . . . . . . simplify

  y = 4 +x . . . . . . rearrange the second equation

  y = 4 +8 = 12

The solution is (x, y) = (8, 12).

The system is consistent with infinitely many solutions: (x₁, x₂) = (x₁, 1/3), where x₁ is any real number

To convert the system 4x₁ + 13x₂ = 2 and 5x₁ + 16x₂ + 13x₂ = 16x₂ = 3x₂ = 1 into an augmented matrix, we can write:

[4, 13 | 2]

[5, 16, 13 | 16]

[0, 0, 3 | 1]

To reduce the system to echelon form, we perform row operations to eliminate the coefficients below the leading entries:

[1, (16/5), (13/5) | (16/5)]

[0, 3, 1 | 1/3]

[0, 0, 3 | 1]

The system is consistent since there are no rows of the form [0, 0, 0 | b], where b is non-zero. Thus, there are solutions to the system.

To find the solutions, we can back-substitute from the last row to the first row. From the third equation, we have 3x₂ = 1, which gives x₂ = 1/3. Substituting this value in the second equation, we get 3x₁ + (1/3) = 1/3, which simplifies to 3x₁ = 0. Thus, x₁ can be any real number.

Therefore, the system has infinitely many solutions of the form (x₁, x₂) = (x₁, 1/3), where x₁ is any real number.

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Answer:

3+2= 5

5+5=10

Step-by-step explanation:

your answer is 10

To determine how many pickles are required to make as many sandwiches as possible from a total of 8 slices of ham, we need to consider the ratio between pickles and sandwiches.

Let's assume that each sandwich requires 2 slices of ham and 1 pickle.

To calculate the number of pickles required, we can set up a ratio using the conversion factor:

2 slices of ham : 1 pickle

Since each sandwich requires 2 slices of ham, we can determine the maximum number of sandwiches by dividing the total number of ham slices (8) by 2:

Number of sandwiches = 8 slices of ham / 2 slices of ham per sandwich

= 4 sandwiches

Now, to determine the number of pickles required, we multiply the number of sandwiches by the conversion factor:

Number of pickles = 4 sandwiches * 1 pickle / 1 sandwich

= 4 pickles

Therefore, to make as many sandwiches as possible from a total of 8 slices of ham, you would require 4 pickles.

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Answer:

It Jumps by six every number, so six would be my guess

Answer:

18months

Step-by-step explanation:

1424-560=864

864÷48=18

Answer:

18

Step-by-step explanation:

$1424-$560= $864

$864 divided by $48 = 18 months

Answer:

(x+4) (x^2−4 x+16)

Step-by-step explanation:

Answer:

domain; 5

Range; -2

Step-by-step explanation:

The probability that a randomly chosen college student exercises in the morning or afternoon is 0.76

We have given that the M be the event that the student exercises in the morning and A be the event that the student exercises in the afternoon.

To find : The probability that a randomly chosen college student exercises in the morning or afternoon

P(M) = 0.25+0.37 = 0.62

P(A) = 0.14+0.37 = 0.51

P(M and A) = 0.37

Now,

P(M or A) = P(M) + P(A) - P(M and A)

                = 0.62 + 0.51 - 0.37

                = 0.76

Hence, Option last 0.76 is the correct choice.

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Answer and explanation:

1. 9:12 or \(\frac{9}{12}\) or 9 to 12

It has 9 first because there are 9 lions and then 12 after because there are 12 elephants.

2. 8:16 or \(\frac{8}{16}\) or 8 to 16

It has 8 first because there are 8 giraffes and then 16 after because there are 16 otters.

3. 9:10 or \(\frac{9}{10}\) or 9 to 10

It has 9 first because there are 9 lions and then 10 after because there are 10 seals.

4. 10:12 or \(\frac{10}{12}\) or 10 to 12

It has 10 first because there are 10 seals and then 12 after because there are 12 elephants.

5. 12:9 or \(\frac{12}{9}\) or 12 to 9

It has 12 first because there are 10 elephants and then 9 after because there are 9 lions.

6. \(\frac{8}{6}\) or \(\frac{40}{30}\) or \(\frac{16}{12}\)

I just multiplied it first the first one by 2, second one by 10, and 3rd one by 4.

7. \(\frac{6}{7}\) or \(\frac{42}{49}\) or \(\frac{60}{70}\)

I just simplified it first, then I multiplied the simplified one by 6 for the second one, and for the 3rd one I multiplied the simplified by 10.

8. \(\frac{2}{3}\) or \(\frac{4}{6}\) or \(\frac{20}{30}\)

I just simplified it first, then I multiplied the simplified one by 2 for the second one, and for the 3rd one I multiplied the simplified by 10.

9. 3:4 is equivalent to 6:8, 30:40, 12:16

I multiplied it first by 2, then by 10, then by 4.

10. 5:7 is equivalent to 10:14, 50:70, 25:35

I multiplied it first by 2, then by 10, then by 5.

11. 9:2 is equivalent to 18:4, 90:20, 27:6

I multiplied it first by 2, then by 10, then by 3.

12.

a. 48

So first, the ratio we know is 5:4 which in other words is 5x:4x. We also know that there are 60 clownfish. So that means 5x = 60 --> x = 12. So then 4x has to equals 12 x 4 which is 48.

b. 36

So first, the ratio we know is 4:3 which in other words is 4x:3x. We also know that there are 48 angelfish. So that means 4x = 48 --> x = 12. So then 3x has to equals 12 x 3 which is 36.

Hope this helped! <3

We can conclude that the system experienced an exothermic change

Based on the given information, we know that the system initially had a higher temperature of 97 degrees Celsius, and then it experienced a change to a lower temperature of 86 degrees Celsius.

A decrease in temperature usually indicates that energy is lost from the system to the surroundings, either by heat transfer or some other form of energy transfer. Since the system has lost energy, this implies that the change was exothermic, meaning that heat was released from the system to the surroundings.

Therefore, based on the information given, we can conclude that the system experienced an exothermic change

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Answer:

y=447.3 pounds

x= 297.3 pounds

Step-by-step explanation:

Step one:

given data

Tea A costs $9 per pound and

Tea B cost $6 per pound.

let the number of pounds of Tea A be x

and for Tea B be y pounds

The total cost of the mixture = $8 per pound

hence

9x+6y=8---------1

The total weight of the mixture

150 pounds

x+y=150-----------2

Step two:

9x+6y=8---------1

x+y=150---------2

from eqn 2 x=150-y

put x= 150-y in eqn 1

9(150-y)+6y=8---------1

1350-9y+6y=8

1350-8=9y-6y

1342=3y

divide both sides by 3

y= 1342/3

y=447.3 pounds

put y= 447.3 in eqn 2

x+447.3= 150

x= 150-446=7.3

x= -297.3

x= 297.3 pounds

Vector a2 is in the subspace spanned by vectors a1, a2, and a3 if it can be written as a linear combination of these vectors.

What is vector ?

A vector is a quantity or phenomenon that has two independent properties: magnitude and direction. The term also denotes the mathematical or geometrical representation of such a quantity. Examples of vectors in nature are velocity, momentum, force, electromagnetic fields and weight.

Let W be a subspace of a vector space V and let a1, a2, and a3 be vectors in V. The vector a2 is in the subspace W if and only if it can be written as a linear combination of the vectors a1, a2, and a3. That is, there exist scalars c1, c2, and c3 such that:

a2 = c1 * a1 + c2 * a2 + c3 * a3

This equation can be written in matrix form as:

[a2] = [a1 a2 a3] * [c1; c2; c3]

where [a2] is the column vector representation of a2, [a1 a2 a3] is the matrix with a1, a2, and a3 as columns, and [c1; c2; c3] is the column vector of scalars c1, c2, and c3.

Vector a2 is in the subspace spanned by vectors a1, a2, and a3 if it can be written as a linear combination of these vectors.

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The value of the test statistic is 6.51.

The test statistic for this problem can be calculated using the formula:

z = (p - P) / √(P * (1 - P) / n)

Where p is the sample proportion (0.67 in this case), P is the hypothesized population proportion (we don't know this value, so we assume it to be 0.5 for a two-tailed test), n is the sample size (380), and z is the standard normal distribution value corresponding to the level of significance.

Plugging in the values, we get:

z = (0.67 - 0.5) / √(0.5 * (1 - 0.5) / 380) = 6.51

So the value of the test statistic is 6.51.

The test statistic is a measure of how far the sample proportion deviates from the hypothesized population proportion under the null hypothesis. In this case, we assume that the population proportion is 0.5 (since we have no reason to believe otherwise), and we calculate the probability of observing a sample proportion of 0.67 or greater assuming this null hypothesis is true.

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The volume of the oblique prism is approximately 55.424 cm³.

The volume of the cube is given as 64 cm³, which means that each side of the cube has a length of 4 cm.

To find the volume of the oblique prism, we need to know the area of the base and the height. The base of the oblique prism is a parallelogram, and we can find its area using the formula:

area = base × height

where the base is the length of one side of the parallelogram, and the height is the perpendicular distance between the base and the opposite side.

Since the parallelogram is tilted at an angle of 60°, we need to find the perpendicular height by using trigonometry. The height of the parallelogram is given by:

height = (side length) × sin(60°)

height = 4 × sin(60°)

height = 4 × 0.866 = 3.464

Therefore, the area of the base is:

area = (side length) × height

area = 4 × 3.464 = 13.856 cm²

To find the volume of the oblique prism, we multiply the area of the base by the height of the prism. Since the height of the prism is also 4 cm (the same as the side length of the cube), we have:

volume = area of base × height

volume = 13.856 × 4 = 55.424 cm³

Therefore, the volume of the oblique prism is approximately 55.424 cm³.

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To yield $79,400 from the sale of 1,760 tickets, the promoter must sell 520 tickets priced at $40 each and 520 tickets priced at $55 each and these are found by solving equations.

(a) The equation x + y = 1760 represents the sum of the tickets sold, where x represents the number of $40 tickets and y represents the number of $55 tickets.

(b) The expression $40x represents the amount of money received from the sale of $40 tickets. This is obtained by multiplying the number of $40 tickets (x) by the price per ticket ($40).

(c) Similarly, the expression $55y represents the amount of money received from the sale of $55 tickets. This is obtained by multiplying the number of $55 tickets (y) by the price per ticket ($55).

(d) The equation 40x + 55y = $79,400 states that the total amount received from the sale is $79,400. This equation combines the amounts received from the sale of $40 tickets and $55 tickets.

(e) By solving the equations simultaneously, we find that x = y = 520. This means that 520 tickets priced at $40 and 520 tickets priced at $55 must be sold to yield a total of $79,400.

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Having simplified the above equation, the solution to the expression x = 10³⁰

We can simplify the equation using logarithmic rules

1/5 log x - log 1000 = 3

log\(x^{1/5}\) - log 1000 = 3

log (\(x^{1/5}\) /1000) = 3

\(x^{1/5}\) /1000 = 10³

\(x^{1/5}\)= 1000  * 10³

\(x^{1/5}\) = 10⁶

x = (10⁶)⁵

x =  10³⁰

Therefore, the solution to the equation is x = 10³⁰

Note that the logarithm is the inverse function of exponentiation in mathematics. That is, the exponent to which b must be increased to obtain x is the logarithm of a number x to the base b. For example, since 1000 = 10³, 1000's logarithm base 10 is 3, or log₁₀ = 3.

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Answer:

Step-by-step explanation:

U= {10,11,12,13,14,15,16,17,18,19,20}

a.

X=even numbers={10,12,14,16,18,20}

b.

Y=odd numbers={11,13,15,17,19}

c. draw a big circle call it U then

inside that big circle draw two small circles that do not touch or overlap

in one circle write the numbers in x , and on the other the numbers from y

The cost of operating the dryer for a month is $6.

An electric clothes dryer has a power rating of 4000W. Assume that a family does five loads of laundry each week for 4 weeks. Further assume that each load takes one hour. A. Find the energy used in both J and kWh.

1J = 1W.s

Energy used = Power x time= 4000W x (5 x 4) x 1h= 80000Wh= 80 kWh

Thus, the energy used in kWh is 80 kWh.1kWh = 1000Wh

1kWh = 3.6 x 10^6 J

Thus, the energy used in J is 80 x 3.6 x 10^6 = 288 x 10^6 J.B. If the cost of electricity is $.075/kWh, find the cost of operating the dryer for a month (4 weeks).

The energy used by the dryer for a month is 80 kWh.

Cost of operating the dryer for a month = Energy used x Cost per kWh= 80 kWh x $0.075/kWh= $6

Therefore, the cost of operating the dryer for a month is $6.

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a) The estimated model relating annual salary to firm sales and market value, in equation form, is: Salary = 4.6209 + 0.1621 * log(sales) + 0.1067 * log(mktval), where log denotes the natural logarithm.

b) Calculating this expression will give us the expected salary according to the model. If the expected salary is higher than $500,000, then your friend would be asking too much.

a) The estimated model relating annual salary to firm sales and market value, in equation form, is:

Salary = 4.6209 + 0.1621 * log(sales) + 0.1067 * log(mktval)

where log denotes the natural logarithm.

b) To determine if your friend would be asking too much for an annual salary of $500,000, we need to plug the values of firm sales and market value into the model and calculate the expected salary.

Using the given values:

- Firm sales (sales) = $5,000,000

- Market value (mktval) = $20,000,000

We first need to take the logarithm of the sales and market value:

log(sales) = log(5,000,000)

log(mktval) = log(20,000,000)

Then, we can substitute these values into the equation:

Expected Salary = 4.6209 + 0.1621 * log(5,000,000) + 0.1067 * log(20,000,000)

Calculating this expression will give us the expected salary according to the model. If the expected salary is higher than $500,000, then your friend would be asking too much.

Note: Make sure to use the natural logarithm (ln) in the calculations.

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Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

The sum to infinity of the series 1 + 2x + 3x² + 4x³ + ... is 1/[(1-x)²] when |x| < 1.

The formula for the sum of an infinite geometric series when |x| < 1 is given as:

S = a/(1-r)

We have a = 1 and r = x/1.

S = 1/(1-x) + 2x/(1-x)² + 3x²/(1-x)³ + 4x³/(1-x)⁴ + ...

we multiply both sides of this equation by (1-x)²,

S(1-x)² = (1-x) + 2x + 3x²(1-x) + 4x³(1-x)² + ...

S(1-x)² = 1 + x + x² + x³ + ...    eqn (1)

Using the formula for the sum of an infinite geometric series when |x| < 1, we have:

1/(1-x) = 1 + x + x² + x³ + ...

Substituting this into equation (1), we get:

S(1-x)² = 1/(1-x)

S = 1/[(1-x)²]

In conclusion, the sum to infinity of the series 1 + 2x + 3x² + 4x³ + ... is 1/[(1-x)²] when |x| < 1

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Answer:

1/4x + -1/2

Step-by-step explanation:

Step 1 :

-4x - 3 = -16j -5

Step 2:

-16j − 5=−4x+3

Step 3:

−16j−5+5=−4x+3+5

−16j=−4x+8

Step 3:

-16j/-16 = -4x + 8/-16

Answer:

j = 1/4x + -1/2

The factorise form of the two expression are as follows:

b. (x - 3)(2 / 3 x - 6) = 0

Therefore, let's open the brackets

2 / 3 x² - 6x -2x + 18 = 0

2 / 3 x²  - 8x + 18 = 0

multiply through by 3

2x² - 24x + 54 = 0

Hence,

 2 (x - 3)  (x - 9)

c.

(-3x - 15)(x + 7)  = 0

Therefore,

-3x² - 21x - 15x - 105 = 0

-3x² - 36x - 105 = 0

-3(x + 5)(x + 7)

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Answer:

It depends

Step-by-step explanation:

Based on the given info it depends on how much the recipe calls for.  32 fluid ounces is equal to 4 cups, 1 quart, .25 gallons, 64 tablespoons, 192 teaspoons, and 2 pints.  I really hope this answer helped you, and it honestly depends on how much the recipe calls for. :)

Answer:7

Step-by-step explanation: