find last years salary if after a 2% pay raise this years salary is $40,290

Answer:

3

Step-by-step explanation:

The answer is three because u need to simply the fractions

Answer:

9π cm - exact value

28.26 cm - approximate value

Step-by-step explanation:

C = πd =9π cm - exact value

or

C=9π≈ 28.26 cm - approximate value

The composite function (fg)(x) is (fg)(x) = -x^3 + 4x^2 - x + 4

From the question, we have the following parameters that can be used in our computation:

f(x) = x^2 + 1

g(x) =-x + 4

The function (fg)(x) is calculated as

(fg)(x) = f(x) * g(x)

Substitute the known values in the above equation, so, we have the following representation

(fg)(x) = (x^2 + 1)(-x + 4)

Expand

(fg)(x) = -x^3 + 4x^2 - x + 4

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Complete question

If f(x) = x^2 + 1 and g(x) =-x + 4 which expression is equivalent to (fg)(x

The answer is - 17

here, we have to apply BODMAS rule

given ,- 22 + (10) = 15

            = - 22 - 10 + 15

           = -32 + 15

           = - 17

BODMAS is an acronym for the sequence of operations to be performed while simplifying the mathematical expressions.

B=Brackets

O=Off

D=Division

M=Multiplication

A=Addition

S=Subtraction

The four basic Mathematical rules are addition, subtraction, multiplication, and division.

Basic math skills are those that involve making calculations of amounts, sizes or other measurements. Core concepts like addition, subtraction, multiplication and division provide a foundation for learning and using more advanced math concepts.

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Answer:

the mean is 2.58333333333. About 2.6

Step-by-step explanation:

Add up all the numbers, then divide by how many numbers there are.

The mean of the given data set is 2.583.

The mean of a data set is the sum of all the data to the number of data in that set.

Given, the data set is:

1, 2, 2, 2, 3, 3, 4, 1, 5, 1, 6, 1

Here, the number of data = 12.

Therefore, the mean of the data set

= (1 + 2 + 2 + 2 + 3 + 3 + 4 + 1 + 5 + 1 + 6 + 1)/12

= 31/12

= 2.583

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perdon ese fue mi error jaja señorita lee algunos números

To simplify the expression \(\displaystyle\sf 5x-3(-5y+6x)+4y\), we can follow the order of operations, which involves simplifying the expressions within parentheses, applying the distributive property, and combining like terms.

Using \(\displaystyle\sf \) tags for formatting, the expression becomes:

\(\displaystyle\sf 5x-3(-5y+6x)+4y\)

First, we simplify the expression within the parentheses:

\(\displaystyle\sf 5x-3(-5y+6x)+4y\)

\(\displaystyle\sf 5x+15y-18x+4y\)

Next, we can combine the like terms:

\(\displaystyle\sf 5x-18x+15y+4y\)

\(\displaystyle\sf -13x+19y\)

Therefore, the simplified expression is \(\displaystyle\sf -13x+19y\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Step-by-step explanation:  

So... where it says Y=4x-1, take the 4x and plot it on the y axis, next on the equation it says -1, plot -1 on the left ( X-axis)

I hope this helps

Answer:

The larger number is 20.

Step-by-step explanation:

Let x and y be the two numbers.

y = 2x + 4

x + y = 28

So x + 2x + 4 = 28

3x = 24

x = 8

y = 20

Answer:

m<20

Step-by-step explanation:

m must be less than 20

m < 20

or

20 > m

Answer:

Look below.

Sorry if the graph's aren't good.

Step-by-step explanation:

13) I'll attach a pic of my graphs:

Slope intercept form is y = mx + b

y = 2x + 1

m = 2

b = 1

14) y = 3/                            5x - 5

m = 3/5

b = -5

15) y = 1/4x - 8

m = 1/4

b = -8

The slant height of the cone is 12.6 units

What are solids ?

A three-dimensional object that is closed (which may, according to some terminology conventions, be self-intersecting). A solid is any constrained area of space that is bounded by surfaces, according to Kern and Bland (1948, p. 18). The sphere, cube, cone, and cylinder, as well as the polyhedra more broadly, are some of the most basic solids.

h= 12

diameter = d = 8

so, radius, r = d/2 = 8/2 = 4

Formula for slant height , l is:

l = √(h² + r²) = √(12² + 4² )

 = √(144 + 16) = √160 = 12.649 ≈ 12.6 units

The slant height of the cone is 12.6 units

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The answer is to (-4)(-4)(-4)(-4)(-4)(-4) 4096

Answer:

- 22

Step-by-step explanation:

The coefficient is the numeric value in front of the variable and including its sign.

Given

4\(x^{5}\) + \(x^{4}\) - 22x² - x + 17

                 ↑ third term

The third term is

- 22x² with coefficient - 22

The percentage of our new facility's seating is full will be 76%.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

The percentage is given as,

Percentage (P) = [Initial value - Final value] / Initial value x 100

Our new training room can seat 150 employees.

If 6 tables consisting of 6 chairs are now taken.

Then the number of occupied seats by tables will be

⇒ 6 x 6

⇒ 36

Then the percentage of our new facility's seating is full will be

P = [(150 - 36) / 150]  x 100

P = (114/150) x 100

P = 0.76 x 100

P = 76%

The percentage of our new facility's seating is full will be 76%.

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Answer:

173 949 pounds

Step-by-step explanation:

radius of the hemisphere = diameter / 2 = 11 feet

Volume of the hemisphere = (2/3  * radius^3 * pi) = = (2/3 * 11^3 * pi) = 2.787,639881 ft^3

Total weight = volume of the hemisphere * 62.4 = 173,948.728592

Answer:

true I think. I rember some, sorry if its wrong

A cruise ship travelled 84 km in 3.5 h. 3.5 h 43.75h It will take 43.75h to travel 1050 km.

The amount that should be invested today in order to have $2,290 in 16 years is $929.11.

When an investment earns a compound interest, it means that both the amount that was invested and the interest accrued increases in value once a year. An investment that earns a compound interest grows at an exponential rate.

The formula that can be used to determine the amount that should be invested.

Amount to invest = Future value / (1 + r)^t

Where:

X = $2,290 / (1 + 0.058)^16

X = 2,290 / 2.46474

X = $929.11

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Answer:

900 DUDE ABOVE GOT IT WRONG

Step-by-step explanation:

TRUST ME BRO ITS 900 I GOT IT WRONG

$7,008 is the future value of a 2-year investment of $6,525 into a simple interest rate account with an annual interest rate of 3.7%.

percentage, a relative value indicating hundredth parts of any quantity.

The formula to calculate the future value of an investment with simple interest is:

FV = P(1 + rt)

where FV is the future value, P is the principal amount, r is the annual interest rate expressed as a decimal, and t is the time period in years.

P = $6,525

r = 0.037

t = 2 years

Plugging these values into the formula, we get:

FV = $6,525(1 + 0.037×2)

FV = $6,525(1.074)

FV = $7,008.

Therefore, the future value of a 2-year investment of $6,525 into a simple interest rate account with an annual interest rate of 3.7% is $7,008.

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Answer:

\(25 + 8 - 32 = 33 - 32 = 1\)

Therefore , the solution of the given problem of probability comes out to be AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)

The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance can be represented by any number between 0 and 1, in which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.

Here,

(a) The voting box contains a total of seven slips, four of which are for candidate A and three for candidate B. Thus, there are 35 events that can occur from 7 choose 4 (or 7 choose 3) options.

Each vote can be represented by a letter, with A standing for a vote for candidate A and B for candidate B, so that all outcomes can be listed. These are the potential results:

AAAA

AAAB

AABA

ABAA

BAAA

AABB

ABAB

BABA

BBAA

ABBB

BABB

BBAB

BBBA

(b)

For instance, the following results could occur if the slips were removed in the following order:

A (1 vote for contender A) (1 vote for candidate A)

AA (2 ballots for candidate A) (2 votes for candidate A)

AAB (2 ballots for candidate A, 1 vote for candidate B) (2 votes for candidate A, 1 vote for candidate B)

AAAB (3 ballots for candidate A, 1 vote for candidate B) (3 votes for candidate A, 1 vote for candidate B)

AAAAB (4 ballots for candidate A, 1 vote for candidate B) (4 votes for candidate A, 1 vote for candidate B)

AAAABB (4 ballots for candidate A, 2 votes for candidate B) (4 votes for candidate A, 2 votes for candidate B)

AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)

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Answer:

  B. The graph of K has a greater y-intercept

  D. The graph of J has a greater slope.

Step-by-step explanation:

Given a table for function J and an equation for function K, you want to know which has the greater slope, and which has the greater y-intercept.

The y-intercept is the value of the function when x=0. We see from the table that y=2 corresponds to x=0 for function J.

We see from the equation for function K that the constant is 8. This is the value of y when x=0.

Function K has the greater y-intercept (8 vs. 2).

The slope is the change in y-value when x increases by 1 unit. We see from the table that y=7 when x=1, so the change in y from x=0 to x=1 is 7-2 = 5. The slope of function J is 5.

The equation for function K has an x-coefficient of 3. This means a change in x of 1 unit will result in a change in y of 3 units. The slope of function K is 3.

Function J has the greater slope (5 vs. 3).

Additional comment

Both functions are graphed in the attachment. The y-intercepts have their points labeled. The graph with the steeper slope is the blue line, function J.

Check the picture below.

so the hexagonal prism is really just a hexagon with six 8x27 rectangles, let's simply get the area of all and sum them up.

\(\textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap ~~ \begin{cases} p=perimeter\\ a=apothem\\[-0.5em] \hrulefill\\ p=\stackrel{8\times 6}{48}\\ a=6.9 \end{cases}\implies A=\cfrac{1}{2}(6.9)(48)\implies A=165.6 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE Areas} }{\stackrel{ \textit{six rectangles} }{(6)(8)(27)}~~ + ~~\stackrel{ \textit{hexgonal face} }{165.6}}\implies 1296+165.6\implies \text{\LARGE 1461.6}~in^2\)

Answer:

B. (1, 0)

Step-by-step explanation:

1,0 should be the vertex for this parabola

...................................................................................................................................................

1,0 should be the correct answer

Answer:

B. (1, 0)

Step-by-step explanation:

The vertex is the point where the two lines meet. In this instance, that is at the point (1, 0).

Answer:It would be 40•.25=10

Step-by-step explanation: which means 40-10=30 so it’d be .25 and you’d move the decimal over 2 spots so it’d be 25% off

None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

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The maximum distance between the earth and the satellite orbit with an elliptical orbit is 520 km.

In the question, we are given that a satellite orbits the Earth with an elliptical orbit modeled by x squared over 47 million four hundred seventy two thousand one hundred plus y squared over forty four million two hundred twenty two thousand five hundred equals 1, where the distances are measured in km. The Earth shares the same center as the orbit.

We are asked to find the maximum distance between the satellite and the Earth if the radius of the Earth is 6,370 km.

Given elliptical form is:

x²/47,472,100 + y²/44,222,500 = 1,

or, x²/6,890² + y²/6,650² = 1.

The radius of the Earth, R = 6,370 km.

We know that the standard elliptical form is:

(x - h)²/a² + (y - k)²/b² = 1, Where, in a horizontal ellipse;

a = The major axis (the longer axis), which gives the maximum distance between the satellite and Earth.

b = The minor axis (the shorter axis).

On comparing the given elliptical form to the standard elliptical form, we get a = 6,890.

The distance between the satellite and the surface of the Earth, d, is given as follows:

d = a - R

Which gives;

d = 6,890 km - 6,370 km = 520 km.

Thus, the maximum distance between the earth and the satellite orbit with an elliptical orbit is 520 km.

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