find the x-intercept
-10x+6y=2

The area of the teacher workroom is 64 feet squared

Answer:

no. because if you divide 4/15 you will get 0.266666.....

Step-by-step explanation:

÷ and 1/2 are both division but one is a fraction with a little more potential

The pre-images of 1 is x = 2,  the pre-image of -1 is x = 4.  pre-image of 7 is x = -4. and the pre-image of -5 is x = 8.

We have the mapping f(x) = x - 2x + 3 = -x + 3 defined on the set of real numbers R.

(a) To find the pre-image of 1, we need to solve for x such that f(x) = 1.

f(x) = -x + 3 = 1

-x = -2

x = 2

Therefore, the pre-image of 1 is x = 2.

(b) To find the pre-image of -1, we need to solve for x such that f(x) = -1.

f(x) = -x + 3 = -1

-x = -4

x = 4

Therefore, the pre-image of -1 is x = 4.

(c) To find the pre-image of 7, we need to solve for x such that f(x) = 7.

f(x) = -x + 3 = 7

-x = 4

x = -4

Therefore, the pre-image of 7 is x = -4.

(d) To find the pre-image of -5, we need to solve for x such that f(x) = -5.

f(x) = -x + 3 = -5

-x = -8

x = 8

Therefore, the pre-image of -5 is x = 8.

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Answer:

d :4h

Step-by-step explanation:

hope this helps (;

Given:

If AB = 0,

Then it is not necessary that A=0 or B=0

To prove this, we consider an example:

Let n=m = p =2

Then AB is given as:

Clearly AB= 0 but A,B not equals to zero.

Hence, the given statement is not true.

Hence, the answer is false.

a) To estimate the true average daily water consumption with a random sample of 100 water meters within a community, we can use the sample mean of 15.2. The sample variance of 1252 provides a bound on the error of estimation. The true average daily water consumption is estimated to be 15.2, with a bound on the error of estimation of 1252.

b) No, it is not reasonable to conclude that on average households in this community have a daily water consumption of 10 units. The sample mean of 15.2 indicates that households have an average daily water consumption of 15.2 units, not 10 units.

c) The assumption necessary in (a) in order to place the bound on the error of estimation is that the sample is a random sample. This assumption is necessary as it ensures that the sample mean is an unbiased estimate of the population mean and that the sample variance provides a bound on the error of estimation.

d) To estimate the total amount of water consumption in this community, we can use the sample mean from (a) and the total number of households in the community (9500). Thus, the total amount of water consumption in this community is estimated to be 143800 units, with a bound on the error of estimation of 1252.

e) We must sample 987 houses if we wish to estimate the average water consumption to within a bound of 5 units. This makes sense as the bound on the error of estimation in (a) was 1252, and 987 houses would decrease the bound on the error of estimation to 5 units.

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Answer:

D.

Step-by-step explanation:

The situation that can be modeled by the expression -3/4 x 2/5  is:

Abdi owes Kim 3/4 of a dollar. He pays her 2/5 of how much he owes.

The expression -3/4 x 2/5 gives us the fraction of a dollar that Kim receives from Abdi, which is -3/10 of a dollar.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The expression -3/4 x 2/5 means that we multiply -3/4 by 2/5.

Multiplying two fractions involves multiplying their numerators together and their denominators together. So,

-3/4 x 2/5 = (-3 x 2) / (4 x 5) = -6/20 = -3/10

Therefore,

The situation that can be modeled by the expression -3/4 x 2/5  is:

Abdi owes Kim 3/4 of a dollar. He pays her 2/5 of how much he owes.

The expression -3/4 x 2/5 gives us the fraction of a dollar that Kim receives from Abdi, which is -3/10 of a dollar.

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Answer: $90.67

Step-by-step explanation:

Sales taxes are paid per good purchased to the IRS and are more often than not, collected at the point of sale by the seller.

The sales tax paid on the PlayStation can be calculated by the formula:

= Price of purchase * Sales tax percentage

= 1,099 * 8.25%

= $90.67

The inverse of function f include the following: C. f⁻¹(x) = 7 - 21x.

In Mathematics and Geometry, an inverse function simply refers to a type of function that is obtained by reversing the mathematical operation in a given function (f(x)).

In this exercise, you are required to determine the inverse of the function f(x). This ultimately implies that, we would have to swap (interchange) both the independent value (x-value) and dependent value (y-value) as follows;

f(x) = y = 1/3 - 1/21(x)

x = 1/3 - 1/21(y)

1/21(y) = 1/3 - x

By multiplying both sides of the equation by 21, we have:

21 × 1/21(y) = (1/3 - x) × 21

f⁻¹(x) = 21/3 - 21x

f⁻¹(x) = 7 - 21x

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Answer: 28282

Step-by-step explanation:

I think

The exponential function f(x) = 400(1. 02)ˣ is $400 does the y-intercept mean in the context of the issue.

Given that,

Samra's guardians made a yearly compounding investment on her behalf in a 529 college savings plan. The exponential function f(x) = 400(1. 02)ˣ can be used to describe the growth of the savings plan on an annual basis, x.

We have to find what does the y-intercept mean in the context of the issue.

We know that,

The exponential function is f(x) = 400(1. 02)ˣ.

In this instance, the significance of the y-intercept in relation to the situation at hand is that the beginning value of the investment is equal to $400.

Therefore, The exponential function f(x) = 400(1. 02)ˣ is $400 does the y-intercept mean in the context of the issue.

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Answer:

Part A: B

Part B: A

Step-by-step explanation:

Part A: Slope is y/x, so you want to find the difference between the 2 points on the graph. You get y1 and subtract it from y2, then you get x1 and subtract it from x2, which leaves you with (y2-y1)/(x2-x1), which is (14-11)/(8-2).

Part B: You use your answer from part A and simplify it, which gives you 3/6, which is 1/2, and that is your slope, and you found your answer since only one answer has that slope.

What do you mean by best prediction, is it multiple choice, a percent, or a number?

Answer:

the value of pi is 3.14159

To determine the arc length, we can use the formula below:

where r = radius and θ = measure of the central angle intercepting the arc.

To help us visualize the question, let's label the diagram with the given information.

As we can see in the diagram, the radius of the circle is 19 units. The measure of the central angle intercepting arc QS is 46°.

Let's use the Arc Length formula stated above and replace the value of r with 19 and θ with 46°.

Then, solve.

Divide 46 by 180.

Multiply the result 0.255555 by 19 and the value of π. The result is:

Answer:

The length of Arc QS is approximately 15.25 units.

Answer:

  a) £210

  b) £1651.38

Step-by-step explanation:

After the reduction, the price is 1 -30% = 0.70 of what it was.

  0.7p = £147

  p = £147/0.7 = £2.10 . . . price before decrease

__

After the increase, the price is 1 +9% = 1.09 of what it was.

  p = £1800/1.09 ≈ £1651.38 . . . price before increase

Answer: 50

Step-by-step explanation: hope this helpss

Answer: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Exact Form:

k

=

3

+

√

177

12

,

3

−

√

177

12

Decimal Form:

k

=

1.35867789

…

,

−

0.85867789

…

Step-by-step explanation

The simplest way to perform a division is long division and synthetic division.

What is division?

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.

There are two methods to perform division:

Long division: The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions.

Synthetic division: In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.

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Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

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Answer:

To find a a fraction of a whole number, you multiply the numerator of the fraction by the given number and then divide the product by the denominator of the fraction

Solved example for finding a fraction of a whole number:

1)

Find 1/3 of 21.

To find 1/3 of 21, we multiply the numerator 1 by the given whole number 21 and then divide the product 21 by the denominator 3.

1/3 × 21 = 1 × 21/3 = 21/3 = 7

So, 1/3 of 21 = 7.

1/3 of 21 is 7

Answer:

For finding a fraction of a whole number, we multiply the numerator of the fraction by the given number and then divide the product by the denominator of the fraction.

Examples for finding a fraction of a whole number:

Find 1/3 of 21.

To find 1/3 of 21, we multiply the numerator 1 by the given whole number 21 and then divide the product 21 by the denominator 3.

1/3 × 21 = 1 × 21/3 = 21/3 = 7

So, 1/3 of 21 = 7.

Here are some more examples

Step-by-step explanation:

Find 2/5 of 15.

To find 2/5 of 15, we multiply the numerator 2 by the given whole number 15 and then divide the product 30 by the denominator 5.

2/5 × 15 = 2 × 15/5 = 30/5 = 6

So, 2/5 of 15 = 6.

Find 3/8 of 48.

To find 3/8 of 48, we multiply the numerator 3 by the given whole number 48 and then divide the product 144 by the denominator 8.

3/8 × 48 = 3 × 48/8 = 144/8 = 18

So, 3/8 of 48 = 18.

2022/(x-1) koalas in total live in the seven parks.

Let the number of parks be x.

According to the question, there are a total of 2022 kangaroos and some koalas living within seven parks.

Therefore, total number of kangaroos = 2022

Let the number of koalas in each park be y.

Number of koalas in each of the x-1 parks, other than the one with kangaroos = y

Number of koalas in the park with kangaroos = 2022/(x)

According to the question, there are as many kangaroos in each park as there are koalas in all other parks together.

So,Number of koalas in the park with kangaroos = y(x-1)2022/(x) = y(x-1)

Therefore, number of koalas in each of the x-1 parks = y = 2022/(x(x-1))

Total number of koalas living in seven parks = y

x= (2022/(x(x-1)))

x= 2022/(x-1)

Thus, the number of koalas in total live in the seven parks is 2022/(x-1).

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We have `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

Given a function `f(x)` is defined by `f(x) = (x+7)/x`.

We need to find `f(a)`, `f(a+h)`, and the difference quotient `(f(a+h)-f(a))/h` where `h≠0`.

Solution:

`f(x) = (x+7)/x`

At `x=a`, we have

`f(a) = (a+7)/a`.

At `x = a + h`,

we have `

f(a+h) = [(a+h)+7]/(a+h)`.

So,

`f(a+h) = (a+h+7)/(a+h)`.

Now,

`f(a+h)−f(a)` is `[(a+h)+7]/(a+h) − (a+7)/a`.

LCM of `(a+h)` and `a` is `a(a+h)`.

So, we get `f(a+h)−f(a)` as `(a+h)(a+7)−a(a+h+7)/a(a+h)`.

On simplification, we have `f(a+h)−f(a)` as `(ah+7h)/(a(a+h))`.

Now, `(f(a+h)−f(a))/h` is `(ah+7h)/(ah+h^2)`.

On simplification, we have `(f(a+h)−f(a))/h` as `(h(a+7))/(ah+h^2)`.

Hence, `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

Given a function `f(x)` is defined by `f(x) = (x+7)/x`. We have found `f(a)`, `f(a+h)`, and the difference quotient `(f(a+h)-f(a))/h` where `h≠0`. Thus, we have `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

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If 74 amplifiers are sampled, the probability that the mean of the sample would differ from the population mean by less than 2.8 watts is approximately 0.

The question is asking for the probability that the mean of the sample would differ from the population mean by less than 2.8 watts. We are given that the mean output of the amplifier population is 321 watts with a variance of 144, and that 74 amplifiers are sampled.

To find the probability, we can use the standard deviation, which is the square root of the variance. Therefore, the standard deviation is √144 = 12 watts.

Since we are dealing with a sample mean, we can use the formula for the standard error of the mean, which is the standard deviation divided by the square root of the sample size. In this case, the sample size is 74.

The standard error of the mean is 12 / √74 ≈ 1.3922 watts.

To find the probability that the mean of the sample would differ from the population mean by less than 2.8 watts, we can use the standard normal distribution. We can calculate the z-score using the formula: (x - μ) / σ, where x is the difference in means (2.8 watts), μ is the population mean (321 watts), and σ is the standard error of the mean (1.3922 watts).

The z-score is (2.8 - 321) / 1.3922 ≈ -231.0971.

To find the probability, we need to find the area under the standard normal curve to the left of the z-score. Using a standard normal table or a calculator, the probability is essentially 0 (rounded to four decimal places).

Therefore, the probability that the mean of the sample would differ from the population mean by less than 2.8 watts is approximately 0.

Complete Question: The mean output of a certain type of amplifier is 321 watts with a variance of 144. If 74 amplifiers are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 2.8 watts? Round your answer to four decimal places.

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Answer:

64

Step-by-step explanation: because he can at least steal 64 packs before   the                 cops get him

Answer:

4

or

4.92753623188  **However you cannot just buy a portion of one pack so you round back down to 4 packs.

Step-by-step explanation:

First we have $25, since he spent $8, we can now claim he has $17, Divide 17 into 3.45, He can buy 4 packs.

Accounting is a profession that has been in existence for thousands of years. Its roots can be traced back to ancient civilizations, such as the Babylonians, who kept records of their financial transactions on clay tablets. Over time, the practice of accounting has evolved, and today, it plays a vital role in society.

The modern accounting profession can be traced back to the early 19th century when the Industrial Revolution spurred the need for accurate record-keeping and financial reporting. As the business landscape grew more complex, the demand for accounting services increased, leading to the creation of professional accounting organizations and the establishment of accounting standards.

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