aqueline spent $150 for supplies and gas to start a lawn-mowing service. she charges $25 for each lawn she mows. in the first week jaqueline made $50 after the cost of supplies and gas was deducted. which equation represents this situation, where x is the number of lawns jaqueline mowed during the first week?

The value of k for the translation of function f(x) to obtain function g(x) is given as follows:

k = -3.

There are four translations, and they are defined as follows:

(hence we use these bullet points to identify the correct translation for this problem).

In this problem, the translation is that function f(x) was shifted down three units to obtain function g(x), hence the definition is given as follows:

g(x) = f(x) - 3.

Hence the value of the coefficient k is given as follows:

k = -3.

(meaning that the correct option is given by the first option in this problem).

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If they both had the same amount of sales and the same compensation for a particular week, compensation will be $545.

Pay is a money or non-cash installment made in return for administrations delivered. Pay can incorporate base compensation, rewards, commissions, merit pay, and tip pay. It can likewise incorporate subordinate or conceded installments, for example, investment opportunities, excursion pay, annuity benefits, free stopping, and clinical protection. Pay alludes to the compensation given to a representative in return for their administrations. The degree of pay offered is reliant upon various elements, including pay rates paid by comparable organizations for comparative jobs, the worker's range of abilities and efficiency and the organization's current and projected monetary strength.

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To achieve better accuracy when adding the numbers from 0.01 to 1.00, it is recommended to add the numbers in ascending order (from smallest to largest) to minimize the accumulation of rounding errors and maintain higher precision during intermediate calculations. Thus, starting with 0.01 and ending with 1.00 would provide better accuracy.

To achieve better accuracy when adding the numbers from 0.01 to 1.00, it is generally recommended to use an order that minimizes the accumulation of rounding errors. In this case, it is advisable to start with the smaller numbers and progress towards the larger ones.

By adding the numbers in ascending order (from 0.01 to 1.00), the rounding errors at each step will have a smaller impact on the overall result. This is because adding smaller numbers together first helps maintain a higher level of precision during intermediate calculations.

Therefore, to achieve better accuracy, you should add the numbers in ascending order, starting with 0.01 and ending with 1.00.

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the answer is C, the curve is a one to one function

The probability that a randomly selected elementary school teacher earns more than $555 a week is approximately 0.8238 or 82.38%.

We can use the standard normal distribution to solve this problem by standardizing the value of $555 and finding its corresponding probability.

The standardized value of $555 is:

z = (x - μ) / σ = (555 - 595) / 43 = -0.93

where x is the weekly salary we're interested in, μ is the mean weekly salary, and σ is the standard deviation of weekly salaries.

We can now look up the probability of a standard normal random variable being greater than -0.93 in a standard normal distribution table, or use a calculator or statistical software. The probability is approximately 0.8238.

Therefore, the probability that a randomly selected elementary school teacher earns more than $555 a week is approximately 0.8238 or 82.38%.

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The maximum degree of f(x) g(x) will be 14 and the minimum degreee of f(x) g(x) will be 0.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Function f(x) is a polynomial of degree 7,

And, g(x) is a polynomial of degree 7.

Now,

Since, Function f(x) is a polynomial of degree 7,

And, g(x) is a polynomial of degree 7.

Hence, The maximum degree of f(x) g(x) = 7 + 7 = 14

And, The minimum degree of f(x) g(x) = 0

Thus, The maximum degree of f(x) g(x) will be 14 and the minimum degree of f(x) g(x) will be 0.

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Answer:

diameter 8

and i think the circumference is 25.12

Step-by-step explanation:

4+4=8

3.14(8)

Answer:

Sorry man but I can't see the question : (

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

Depth Changes:

1. down 25 feet

2. down 10 feet

3. up 7 feet

4. down 3 feet

If we form this into an equation, we get:

25+10-7+3 = 31

Answer:

$3.81

Step-by-step explanation:

$15.25 / 4 = $3.81 You divide the cost of baseballs by the number of baseballs.

Answer:$3.81

Step-by-step explanation:

$15.25/4 = $3.81

Answer:

7x7=49, so 7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

because 7 cm as the side length is always the square root of the area in a square.

Answer:

When reflecting a point or line segment across the x-axis, the y-coordinate changes sign while the x-coordinate remains the same. In this case, we are given the points A (2,5) and B (-3,6) and asked to find their reflections in the x-axis, represented by the points A’ and B’.To reflect point A across the x-axis, we simply change the sign of the y-coordinate while keeping the x-coordinate the same. So, if A is (2,5), its reflection A’ is (2,-5). We can follow the same procedure for point B. If B is (-3,6), its reflection B’ is (-3,-6).From this calculation, we see that answer choice A is the correct one. Therefore, A’(2,-5) and B’(-3,6) represent the points that are the reflections of A and B, respectively, across the x-axis.The reflection of a point across the x-axis can also be visualized as the point being mirrored across the x-axis as if it were a horizontal mirror. In this case, point A is reflected to the point A’ which is the same distance above the x-axis as A is below the x-axis. Similarly, point B is reflected to point B’ which is the same distance below the x-axis as B is above the x-axis.It’s also worth noting that reflecting a point or line segment across the x-axis is an example of a transformation in coordinate geometry. Translations, reflections, rotations, and dilations are all examples of transformations that can be used to manipulate geometric figures on the coordinate plane.Overall, reflecting a point or line segment across the x-axis is a relatively simple calculation that involves negating the y-coordinate. In the context of coordinate geometry, it’s important to understand the basic transformations like these and how they can be used to manipulate shapes and figures on the coordinate plane.

Step-by-step explanation:

Answer:

28.125 degrees

Step-by-step explanation:

3/8 of 45 is 16.875

45-16.875=28.125

Answer:

$4.161616 =

As a fraction

= $[(4 × 62500) + 10101]/62500

= $(260101/62500)

As a mixed number =

$\(4\frac{10101}{62500}\)

Step-by-step explanation:

Cost of making a computer component = $4.161616

= $4 + $0.161616

6 numbers after the decimal , hence

0.161616 × 1000000/1000000

= 161616/1000000

= 10101/62500

We are told in the question to write the repetiting decimal cost as a fraction and as a mixed number

$4 + $0.161616 = $4 + 10101/62500

As a fraction

= $[(4 × 62500) + 10101]/62500

=$260101/62500

As a mixed number = \($4\frac{10101}{62500}\)

The rate of change for the first week is 40%, and it changes values over the time.

Rate is a measurement to determine the change in one quantity with respect to another quantity.

It shows are the changing

The amount deposit by Dora in account = $50.

Also, amount planned  by Dora to deposit each week = $20

The rate of change for first week = (20/50)×100 %

                                                       = 40 %

The rate of change for the first week is 40%.

The rate of change will change the value, as principal amount increases every week, therefore, rate of change will decrease over the time.

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Answer:

The perimeter is 104 yd. The area is 532 yd².

Step-by-step explanation:

The find the perimeter, you need to add up all of the sides. You need to double the given sides so that you can get the other side lengths. To find the area, you need to multiply the two side lengths that are adjacent (next to each other). Finally, once you have multiplied the two values, you square it (put a "to the power of two" sign) after the "yd."

The slope of the tangent line to the curve\(y = x^2 - 15^2 at x = 4\) is 8. The equation of this tangent line is y = 8x - 47.

To find the slope of the tangent line, we need to calculate the derivative of the given curve with respect to x. Taking the derivative of y = \(x^2 - 15^2\)using the power rule, we get dy/dx = 2x. Substituting x = 4 into the derivative, we find that the slope of the tangent line at x = 4 is 2(4) = 8.
To find the equation of the tangent line, we use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point on the curve where the tangent line passes through, and m is the slope of the tangent line. Since the tangent line passes through the point (4, y), we can substitute x1 = 4 and y1 = \(4^2 - 15^2 =\) -191 into the equation.
Plugging in these values, we get y - (-191) = 8(x - 4), which simplifies to y + 191 = 8x - 32. Rearranging the equation, we have y = 8x - 32 - 191, which further simplifies to y = 8x - 223. Therefore, the equation of the tangent line to the curve y = \(x^2 - 15^2 at\) x = 4 is y = 8x - 223.

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The equation 3000=150(1+. 025/12)^(12t) can be solved using logarithm  functions. The value of t can be found by isolating it on one side of the equation. After simplification, the final answer is approximately 4.37 years.

To solve the equation, begin by dividing both sides by 150:

3000/150 = (1 + 0.025/12)^(12t)

Simplify the left-hand side:

20 = (1.002083)^12t

Take the logarithm of both sides using the natural logarithm (ln):

ln(20) = ln[(1.002083)^12t]

Use the logarithm rule to bring down the exponent:

ln(20) = 12t ln(1.002083)

Divide both sides by ln(1.002083):

t = ln(20) / [12 ln(1.002083)]

Using a calculator, the final answer is approximately 4.37 years. Therefore, after 4.37 years, an initial investment of $150 at a monthly interest rate of 2.5% would grow to $3000.

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The formula f(t) = 275e^(0.14t) can be written in the form f(t) = 275(1.150)^t. Let's determine:

To convert the formula f(t) = 275e^(0.14t) to the form f(t) = ab^t, we need to rewrite it with a base "b" raised to the power of "t".

1. Start with the function f(t) = 275e^(0.14t).

2. Identify the base "b" and the coefficient "a" that will allow us to rewrite the expression in the desired form.

3. Notice that e^(0.14t) is equivalent to (e^0.14)^t. Therefore, we can rewrite the function as:

  f(t) = 275(e^0.14)^t

4. Simplify the term e^0.14 to a decimal value.

  Using a calculator, we find that e^0.14 is approximately 1.150.

5. Substitute this value back into the equation to obtain:

  f(t) ≈ 275(1.150)^t

6. Finally, we can rewrite the formula in the desired form:

  f(t) = 275(1.150)^t

  The coefficient "a" is 275, and the base "b" is approximately 1.150.

Therefore, the formula f(t) = 275e^(0.14t) can be written in the form f(t) = 275(1.150)^t.

It's important to note that the approximation of e^0.14 as 1.150 introduces a small error in the conversion. However, for most practical purposes, this approximation is sufficiently accurate.

This form allows us to see that the function f(t) is an exponential function where the initial value (when t = 0) is 275, and the base of the exponent is approximately 1.150. The value of "t" represents the time or input variable, and the function f(t) gives the output value or quantity at a given time.

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Answer:

m = 6

Step-by-step explanation:

The definition of a derivative is the slope of the tangent line.

Step 1: Define

f(x) = x² + 4x - 3

Point (1, 2)

Step 2: Find slope of tangent line

The answer obtained from multiplying the measurements 64.49 and 6.57 is 423.70.

According to the rules governing significant figures, the result of a multiplication or division should have the same number of significant figures as the measurement with the fewest significant figures.

In this case, both measurements, 64.49 and 6.57, have four significant figures each. When multiplied together, the result is 423.6993. However, since the measurement 6.57 has the fewest significant figures, the final answer should be rounded to match that.

Therefore, the answer is rounded to three decimal places, resulting in 423.700. The zero at the end is included to indicate that the measurement is known to that level of precision.

Hence, considering the rules of significant figures, the answer obtained from multiplying the measurements 64.49 and 6.57 is 423.700.

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The number of combinations that are possible for 4 cell phone models of 6 colors with 5 calling plans is  120 .

We have to find the total number of combinations of cell phone models, colors, and calling plans,

So , we multiply the number of choices for each category.

By Using the multiplication principle of counting:

⇒ Total number of combinations = (number of phone models) × (number of colors) × (number of calling plans) ;

⇒ 4 × 6 × 5

⇒ 120

Therefore, there are 120 possible combinations of cell phone models, colors, and calling plans from this particular cell phone company.

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The given question is incomplete , the complete question is

A particular cell phone company offers 4 models of phones, each in 6 different colors and each available with an one of 5 calling plans. How many combinations are possible ?

Answer:

The second one the amount of monthly sales

Step-by-step explanation:

The 2000 is the total

Answer:

11 & 5 are the factors of 55

Step-by-step explanation:

Factors of 55

11 × 5 = 55

Thus, 11 & 5 are the factors of 55

-TheUnknownScientist 72

Answer:

3k=10 so 6k=20 i dont really know the 5k

Answer:

I think its c

Step-by-step explanation:

Answer:

B. x \(\geq\) -2 < and x \(\leq\) 6

Step-by-step explanation:

|2x - 4| \(\leq\) 8 we need to get rid of brackets and to do that:

-8 \(\leq\) 2x - 4 \(\leq\) 8 now add 4 to all sides of equation

-4  \(\leq\) 2x  \(\leq\) 12 divide by 2

-2 \(\leq\) x \(\leq\) 6

The algebraic expression is 2 + y.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Sum of 2 and y

This can be written as,

2 + y

Thus,

The expression is 2 + y.

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Answer:

assume \(13 = z \\ 8 =x \\ bc = y\)

by phytagorean theorem

\({y}^{2} + {x}^{2} = z^{2} \)

so

\(bc = y = \sqrt{ {z}^{2} - {x}^{2} } = \sqrt{169 - 64} = \sqrt{105} \)

\( \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }\)

\( \large\underline{ \boxed{ \sf{✰\:Note }}}\)

★ 1st let's know what is the given figure is and it's related concepts for solving !

\( \rule{70mm}{2.9pt}\)

★ Writing this theorem mathematically ★

\( { \boxed{✫\underline{ \boxed{ \sf{Pythagorean \: theorem \: ⇒ {Hypotenuse }^2={ Base }^2+ {Height }^2}}}✫}}\)

★ Here ★

\( \rule{70mm}{2.9pt}\)

\( \boxed{ \rm{ \pink ➛BA^2= AC^2+BC^2}}\)

\( \rule{70mm}{2.9pt}\)

\(\rm{ \pink ➛13^2= 8^2+x^2} \\ \rm{ \pink ➛169 = 64 + {x}^{2} } \\ \rm{ \pink ➛169 - 64 = {x}^{2} } \\ \rm{ \pink ➛105 = {x}^{2}} \\ \rm{ \pink ➛ \sqrt{105} \: or \: 10.2469 = x} \\ \)

\( \rule{70mm}{2.9pt}\)

Hence length (BC) in the given triangle is of

\( { \boxed{✛\underline{ \boxed{ \sf{\sqrt{105} cm\: or \: 10.2469cm\green✓}}}✛}}\)

\( \rule{70mm}{2.9pt}\)

Hope it helps !