eduardo contributes 16% of his $82,400 annual salary to his 401(k) plan. what is his pre-tax income?

3m^2 (10+m)

Use FOIL

3m^2*m=3m^3

3m^2*10= 30m^2

Answer: 3m^3 + 10m^2

Solution :

Given expression [tex]3m^{2}(10+m)[/tex]

To simplify this expression, first we need to know about the Distributive property.

Distributive Property: [tex]a\times(b+c)=(a\times b)+(a\times c)[/tex]

Given expression [tex]3m^{2}(10+m)[/tex]

Applying Distributive property on this expression -

[tex]\Rightarrow 3m^{2}(10+m)=(3m^{2}\times10)+(3m^{2}\times m)[/tex]

                                       [tex]= 30m^{2}+3m^{3}[/tex]

Simplified form of [tex]3m^{2}(10+m)[/tex] is  [tex]30m^{2}+3m^{3}[/tex]

6. domain=age

range= number of pets

it is not a function because an x value repeats

7. domain=1,2,3,4,5

range= 50, 100, 150, 150, 200

it is a function because the lines don't connect

-24 if you score -6 each round

Answer:

154 LBS

Step-by-step explanation:

1 KG = 2.2 LBS

70 KG X 2.2 = 154

To convert kilograms to pounds, you divide the weight in kilograms by 0.4536. So, a person weighing 70 kg would weigh approximately 154.32 lbs.

The subject you're asking about is conversion from kilograms to pounds. A weight of 1 lb is equivalent on Earth to a mass of 0.4536 kg. So, to convert kilograms to pounds, you would divide the weight in kilograms by the equivalent mass of 1 pound in kilograms.

For example, a person weighing 70 kg would weigh approximately 154.32 pounds. This was calculated by dividing 70 kg by 0.4536 kg per pound (70/0.4536 = 154.32 pounds). It's important to note that while weight can vary slightly depending on location due to differences in gravitational pull, this conversion factor still provides a good estimation for most common situations.

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The maximum miles that she can travel 63 miles before she can walk.

Final answer:

By setting up an equation that accounts for the cab's base fare and the additional per mile charge, we can determine that Erica can afford to travel a maximum of 63 miles in the cab before exceeding her budget of $25.05.

Explanation:

To determine the maximum number of miles Erica can travel in a cab without exceeding her budget of $25.05, we can create an equation where the cost of the cab is equal to the base fare plus the per mile charge times the number of miles (mileage). We know the base fare is $3 and the per mile charge is $0.35. Let's denote the number of miles Erica can travel as 'm'.

The cost equation would be: Cost = Base Fare + (Per Mile Charge × Mileage)

This gives us: $25.05 = $3 + ($0.35 × m)

Subtracting the base fare from both sides gives us: $22.05 = $0.35 × m

Dividing by the per mile charge yields: m = $22.05 / $0.35

Calculating this, we get: m = 63 miles

Therefore, Erica can travel a maximum of 63 miles in the cab before she would need to walk the rest of the way to the museum to stay within her budget.

Answer:

6.8 Miles

Write at least 20 characters to explain it well.

The value of function f(x - 1) = 2x² + 4x + 5 is not true.

Here,

The function is given as;

f (x) = 2x² + 3

And, f(x - 1) = 2x² + 4x + 5

We have to check the value of f(x - 1) is true or not.

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Now,

The function is;

f (x) = 2x² + 3

To determine the value of f (x - 1), we can put (x -1) in place of x as;

f (x) = 2x² + 3

f (x - 1) = 2(x - 1)² + 3

f (x - 1) = 2(x² + 1 - 2x) + 3

f (x - 1) = 2x² + 2 - 4x + 3

f (x - 1) = 2x² - 4x + 5

Hence, The value of function f(x - 1) = 2x² + 4x + 5 is not true.

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To find H(6) for the function H(x) = 5(x - 6), substitute 6 for x, resulting in H(6) = 5(6 - 6) = 5(0) = 0.

The question asks for the evaluation of H(6) when H(x) = 5(x - 6). To find H(6), we simply substitute 6 in place of x in the function and calculate the result.

H(6) = 5(6 - 6)

Calculating the expression within the parentheses:

6 - 6 = 0

Now multiply by 5:

5 times 0 = 0

Therefore, H(6) = 0.

Answer:

The difference between the given expressions would be [tex]x - 2[/tex]

Step-by-step explanation:

Given phrase,

Difference between x+5 and 2x+3,

[tex]( 2x + 3 ) - (x + 5)[/tex]

[tex]=2x + 3 - x - 5[/tex]   ( By distributive property )

[tex]=x - 2[/tex]     ( By combining like terms )

Hence, the required difference would be [tex]x-2[/tex]

Answer:

The solution is 0.022.

Step-by-step explanation:

Given that,

[tex]\dfrac{0.86}{5}-0.3\times0.5[/tex]

We need to solve the equation

Using PEMDAS rule

On dividing 0.86 by 5

[tex]0.172-0.3\times0.5[/tex]

On multiply 0.3 from 0.5

[tex]0.172-0.15[/tex]

On subtract 0.15 from 0.172

[tex]0.022[/tex]

Hence, The solution is 0.022.

Slope m = y2-y1/x2-x1

Points (-1,3) and (2,-5)

M= -5-3/2-(-1)

M= -8/3

M= -8/3

Slope is -8/3

Now fill in the formula equation of a line using one if the points and slope to find b .

(2,-5) and slope -8/3

Y=mx+b

-5=-8/3(2)+b

-5=-16/3+b

-5+16/3=b

1/3=b

Now put all together

Y= -8/3x+1/3

Slope intercept form of a line is y = mx + b, where m is the slope and b is the y coordinate of the y intercept.

The easiest way to solve this problem is by using another equation for a line, also known as point slope form. This equation is best to use for a line if you have  a point and slope of the line, but do not have the y-intercept.

We need to find the slope of this line passing through the pair of points (-1, 3) and (2, -5). We can do this by using the slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute in the appropriate coordinates.

[tex]\frac{-5-3}{2-(-1)}[/tex] = [tex]\frac{-8}{3}[/tex], so the slope of the line is -8/3.

Point slope form of a line is [tex]y-y_1=m(x-x_1)[/tex]. Substitute -8/3 for m, and use the point coordinate (-1, 3) for y1 and x1. You could use either point coordinate but I chose to use this one.

[tex]y-3= -8/3[x-(-1)][/tex]

Distribute -8/3 inside the parentheses.

[tex]y-3= -8/3x - 8/3[/tex]

Add 3 to both sides.

y = -8/3x + 1/3 is your answer (slope intercept form).

Answer:

A' (-3,-2)

Step-by-step explanation:

When rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. To rotate a figure 180 degrees, you apply the rule (x, y) → (-x, -y). Start by using a coordinate grid with coordinates for each vertex of the figure. The center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. Write down the original coordinates of the shape you are going to rotate. Then, apply the rule. For example, coordinate (3, 2) becomes (-3, -2). Another example would be, coordinate (-4, -2) becoming (4, 2).

(-3,-2) this is your answer

The "vertical line test" tells you the relation is not a function if any vertical line intersects the graph in 2 or more places.

15. not a function

The vertical line x=0 crosses the graph at y=-6 and at y=6.

16. a function

Answer:

c

Step-by-step explanation:

The correct values of a and b are a = 3.1 and b = 2.5, which corresponds to option A.

To solve the question, we need to set up an equation using the information given. Here's a step-by-step explanation:

The types of triangles are:

d. Scalene

e. Isosceles

f. Isosceles

g. Equilateral

h. Scalene

i. Equilateral

Here's the type of triangle for each set of measurements:

d. 45 cm, 61 cm, 60 cm:

All sides are different lengths.

Therefore, this is a scalene triangle

e. 30 cm, 31cm, 30 cm:

Two sides have equal lengths (30 cm).

This is an isosceles triangle

f. 4 cm, 5ft, 4 cm:

We need to convert feet to the same unit as cm for comparison.

1ft = 12 inches = 2.54 cm

5ft = 5 * 2.54 cm ≈ 12.7 cm

We have two sides with equal length (4 cm) and one different length (12.7 cm).

This is also an isosceles triangle

g. 89mm, 89mm, 89mm:

All three sides have the same length.

This is an equilateral triangle, a special type of isosceles triangle where all sides are equal.

h. 9 in, 5in, 3 in:

All sides have different lengths.

This is a scalene triangle

i. 22cm, 22cm, 22in:

We need to convert inches to centimeters for comparison.

22in = 22 * 2.54 cm ≈ 55.88 cm

Comparing the converted lengths, we see all sides have equal lengths.

This is an equilateral triangle

you would multiply 2.6 x 8 and that equals 20.8

8 packages weigh 20.8 pounds.

Explanation: It's simple. 2.6 x 8 = 20.8

[tex]f(x)=3x\to y=3x\\\\\text{Interchange the y and the x}\\\\x=3y\\\\\text{Solve for y}\\\\3y=x\qquad|:3\\\\y=\dfrac{x}{3}\\\\Answer:\ C.\ f^{-1}(x)=\dfrac{x}{3}[/tex]

The required inverse function would be f⁻¹(x) = x / 3, which is the correct answer would be option (C).

The inverse function is defined as a function obtained by reversing the given function.

To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.

We have to find the inverse of the function below :

f(x) = 3x

So after switching x and y,

Now, we solve for y regularly.

f(x) = x = 3y

Solve for y :

⇒ x = 3y

⇒ x / 3 = y

⇒ y = x / 3 = f⁻¹(x)

Therefore, the required inverse function would be f⁻¹(x) = x / 3.

Hence, the correct answer would be an option (C).

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Hey there!

To solve this, we will first replace x with 5 anytime we see it in the equation.

f(5) = 2^5

Now, we simplify 2^5.

The base is 2 and the exponent is 5 in this case.

The exponent is the number of times you multiply the base by itself. In oour case:

2 x 2 x 2 x 2 x 2 = 32

f(5) = 32

Hope this helps!

The model car will travel 60 meters in 45 seconds

38 divided by 100

what you could do is that 38 in decimal form will be 38.00

So,...

38.00 divided by 100

when you divided by 10 or 100 or 1,000 or etc.

all you have to do is move the decimal from 38.00 to the left 2 times

(because there are only 2 zeros in 100)

and your answer will be 0.38

38 divided by 100 = 0.38

hope that helps

The formula of a midpoint:

[tex]M_{AB}\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)[/tex]

We have

[tex]M(3,\ 7)\to x_M=3,\ y_M=7\\\\A(5,\ 1)\to x_A=3,\ y_A=7[/tex]

Substitute:

[tex]\dfrac{5+x_B}{2}=3\qquad|\cdot2\\\\5+x_B=6\qquad|-5\\\\x_B=1\\\\\dfrac{1+y_B}{2}=7\qquad|\cdot2\\\\1+y_B=14\qquad|-1\\\\y_B=13[/tex]

The answer is C. 20/38

The answer is 3.26             :D :D :D :D    

The answer to rounding the number 3.2649 to the nearest hundredth is 3.26. You need to consider the digit in the thousandths place to determine if you round up or down.

To round the number 3.2649 to the nearest hundredth, you will need to look at the digit in the thousandths place, which is 4 in this case. In rounding, if the digit is 5 or more, you round up, else you round down. Here it is 4, it's less than 5, so we round down. So, the number 3.2649 when rounded to the nearest hundredth is 3.26.

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There will be twelve votes possible because 3*4=12

[tex]1.07x=16.05[/tex]

[tex]16.05/1.07=15[/tex]

[tex]15=x[/tex]

The menu price for the meal is $15.