Simplify the following expression by combining like terms. Select the most simplified expression:

The conversion of .51 kg to milligrams using unit fractions is given by 510,000 mg

Units can be converted from one form to another.

Convert kilogram to milligram:

1000g = 1 kg

1 kg = 1,000,000 mg

That is,

A kilogram is equivalent to one million milligrams.

.51 kg to milligrams

= .51 × 1,000,000

= 510,000 mg

Hence, the conversion of .51 kg to milligrams is 510,000 mg.

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The midpoint of a given line segment must lie on the given line segment is True.

What is midpoint?

 A midpoint is a location that sits in the middle of the line connecting two points and is situated between them. If a line is drawn connecting the two points, the midpoint is the place on the line that is equally distant from both points. A point B that is situated halfway between two other points, such as A and C, is said to be the midpoint. Because of this, finding the midway only requires measuring the length of the line segment and dividing it by 2.

Here the given statement is,

=> The midpoint of a given line segment must lie on the given line segment.

Here according to the given statement we know that the midpoint of the any line lies on the given line.

Hence the given statement is True.

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These people are elected in 47814 different ways to these positions.

Given, there are 9 freshman, 13 sophomores, 13 juniors and 16 seniors running for the offices of president, vice president, and secretary.

Now, the number of different ways in which these people can be elected for these positions be,

C(9 , 1)×C(13 , 1)×C(13 , 1)×3! + C(9 , 1)×C(13 , 1)×C(16 , 1)×3! + C(9 , 1)×C(13 , 1)×C(16 , 1)×3! + C(13 , 1)×C(13 , 1)×C(16 , 1)×3!

= 9×13×13×6 + 9×13×16×6 + 9×13×16×6 + 13×13×16×6

= 9126 + 11232 + 11232 + 16224

= 47814

So, these people can be elected in 47814 different ways.

Hence, these people are elected in 47814 different ways to these positions.

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Answer:

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x3+7x2 

Group 2:  4x-12 

Pull out from each group separately :

Group 1:   (x+7) • (x2)

Group 2:   (x-3) • (4)

Answer:

from the drop down menu the answers are:

x-1

x+2

x+6

Answer:

y=4x

Step-by-step explanation:

y2-y1/x2-x1

8-4/2-1

4/1

4 is the slope

We can find the intercept by finding when x is equal to zero by continuing the order pairs

(8,2),(4,1),(0,0)

The intercept is 0

Y=mx+b

M-slope

b- y intercept

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The length of the shadow is 24. 56m

From the information given, we have that;

Using the Pythagorean theorem, we have;

a² = b² + c²

Substitute the values, we get;

38² = 29² + c²

Find the squares

1444 - 841 = c²

c² = 603

Find the square root of both sides

c = 603

c = 24. 56m

Hence, the value is 24. 56m

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Answer: A and C

d + q = 5 is one correct answer, not 500

0.1d + 0.25q = 5 as this is literally just the equation you are doing.

The range of the data divided by four gives the standard deviation, which is approximately.

The range of the data divided by four gives the standard deviation, which is approximately. Simply put, that's it. To determine the range, find the highest value—the maximum—and deduct the lowest—the minimum. The range should then be divided by 4.

The range rule states that a sample's standard deviation is roughly equal to one-fourth of the data range.

In order to calculate the standard deviation, we must first determine the mean, take this mean away from each data point, square the differences, add them, divide by one less than the number of data points, and (at the very end) take the square root. The range rule, however, only needs one division and one subtraction.

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Answer:

8(x^2)+172x+920

Step-by-step explanation:

2(2x+20)+6

=4x+46

(4x+46)×(2x+20)

=4x(2x+20)+46(2x+20)

=8(x^2)+80x+92x+920

=8(x^2)+172x+920

Answer:

[tex]\frac{x+4}{8x+8}[/tex]

Answer: 1/(x+2)

Step-by-step explanation:

[tex]\frac{x+4}{x^2+6x+8}\\[/tex]

[tex]\frac{x+4}{(x+2)(x+4)}[/tex]

the x+4 cancel each other so we are left with 1/(x+2)

if the main question was how to foil the denominator x2 + 6x + 8, i can quickly explain that.

x2 + 6x + 8

a2 + bx + c

first step is to multiply the first variable with that last or a * c which in this case would give 1 * 8 = 8

the next step would be to look at the middle number which is b, in our case 6.

so then you look for two number that can multiply to to give 8 as well as add up to 6. With easy guessing one will come up with 4 and 2.

with this values you can impute them directly into the equation as

x^2 +4x +2x+ 8

split the equation then factor

(x^2 +4x) (2x+ 8)

x(x+4) 2(x+4) note that the factored equation must always be the same in the bracket. If they are not the same then you have made a mistake somewhere across the line.

with the results giving (x+2)(x+4)

The initial population size is 2800

The function represents growth

The percentage through which the population size changes is given as 7%.

The formula is given as

[tex]Po = 2800 (1.07)^t[/tex]

From the formula that we have above, the initial population size is given as 2800.

We have p = P₀(1 + r)^t

where 1 + r = 1.07

We are to find the value of r

r = 1.07 - 1

r = 0.07

Given that the value of r is positive, this is the representation of a growth.

The percentage through which the change would occur = 0.07 x 100

= 7%

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We can rewrite the equation of the circle as:

(x + 4)^2 + (y + 4)^2 = 12^2

So the center is (-4, -4) and the radius is 12 units.

For a circle of radius R and center (a, b) the equation is:

(x - a)^2 + (y - b)^2 = R^2

Here we have the equation:

x^2 + 8x + y^2 + 8y - 112 = 0

We can complete squares to get:

(x^2 + 8x) + (y^2 + 8y) - 112 = 0

(x^2 + 2*4*x + 4^2) +  (y^2 + 8y + 4^2) - 4^2 - 4^2 - 112 = 0

(x + 4)^2 + (y + 4)^2 = 112 + 16 +  16 = 144

(x + 4)^2 + (y + 4)^2 = 12^2

So we have a circle of radius of 12 units, with a center at (-4 , -4)

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Answer:

88%

Step-by-step explanation:

Answer:

10 units

Step-by-step explanation:

The distance formula is as follows:

D =  √[(x2 - x1)^2 + (y2 - y1)^2]

=      √[(-2 - 4)^2 + (-3 - 5)^2]

= √(-6)2 + (-8)2

= √100

= 10

Answer:

10 Units

Step-by-step explanation:

Distance (d) = √(-2 - 4)2 + (-3 - 5)2

= √(-6)2 + (-8)2

= √100

= 10

Hope this helps! :)

Model equivalent to 16 2/3 % is Option D.

Given:

The number of students at Liam's elementary school has increased 16 2/3 % in the past two weeks.

Option D is divide into six parts with one filled which is equal to 16 2/3 %.

Total parts = 6 * 16 2/3

= 6*48+2/3

= 6 * 50/3

= 300/3

= 100%

Here total parts is equal to 100% so it is the correct option.

Therefore model equivalent to 16 2/3 % is Option D.

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According to the plotted graph, the x intercepts are (1,0),(2,0) and (4,0) and the y intercept is (0, -8)

Intercepts:

In the graph theory, the x-intercept is the point where a line crosses the x-axis, similarly the y-intercept is the point where a line crosses the y-axis.

Given,

One factor of the function f(x) = x³ − 7x² + 14x − 8 is (x − 4).

Here we need to identify the x and y intercept of the function through the graph of the function.

Here we have to do the following steps on the graphing calculator, to plot the function,

1) Set the x and y axis values on the graphing calculator.

2) Enter the required function on the input box.

3) Which ever the point that placed on the x axis are the points that refers the x intercept

4) Similarly, which ever the point that placed on the y axis are the points that refers the y intercept.

Now, the graph of the function is plotted and attached below.

Therefore, the x intercept are (1,0), (2,0) and (4,0) and the y intercept is (0,-8)

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Answer:

THERES MUCH INFORMATION EXCLUDED!

Step-by-step explanation:

She travels 7 miles per 25 hours

If the total distance travelled was 500 miles and the time it took you was 5 hours, then your average speed was 500 / 5 = 100 miles per hour (mph).

BASED ON MY OWN CALCULATIONS:

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The solution to inequalities are as follows.

What is inequality equation?

Inequalities are the mathematical expressions during which either side don't seem to be equal. In difference, in contrast to in equations, we tend to compare 2 values. The equal sign up between is replaced by but (or but or equal to), larger than (or larger than or equal to), or not capable sign.

Main body:

A) m-1 <-3

   to solve this we need to take link terms to one side

  = m< -3+1

  = m < -2

B) -4y <-20

  cancelling -ve sign on both sides,

= 4y <20

= y <5

C) 5+b>1

take link terms to one side

b > -4

Hence the graph is as given

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Answer: 11z+2

Step-by-step explanation:

The settle price at which you will get a demand for additional funds to be posted is $1.4840 per €.

What is contract?

An agreement between parties that results in legal duties for both parties is known as a contract. Mutual consent, demonstrated by a valid offer and acceptance, sufficient consideration, capability, and legality are the fundamental components needed for the agreement to be a legally enforceable contract.

Provided data from the question;

Futures contract to buy in euros = €62,500

Future contract to buy in dollar = $93,750 ( €62,500 × $1.50)

Initial performance of bond = $1,500

Maintenance level = $500

To determine the settle price at which you get a demand for additional funds to be posted =

Future contract to buy in dollar - (initial bond performance - maintenance level) ÷ future contract to in euros

$93,750 - ($1,500 - $500)

= $93,750 - $1,000

$92,750 ÷ €62,500

= $1.484

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The solution to the algebraic problem is [tex]x^{2}[/tex]

What is an Algebraic Equation?

An algebraic equation is a mathematical statement that sets two expressions equal to each other. An algebraic equation is typically made up of a variable, coefficients, and constants.

Solution:

([tex]x^{3}[/tex] – 1) = (x+2)

On dividing ([tex]x^{3} - 1[/tex]) by (x+2)

The first term of the quotient will be x^2 by following the Long Division Method of Algebraic Division.

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The slope concept shows that there are 335.3953 feet between points A and B.

The slope is calculated by dividing the vertical and horizontal changes. A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

Additionally, it is the tangent to the depression angle.

The vertical change in this issue is 103 feet.

At point A, the horizontal position is represented by xA, and the angle there is 18o, so: tan 18 degree = 103/xA xA = 103/tan 18 degree xA = - 90.5653

At point B, the horizontal position is at, and the angle is at, so: tan 75degree = 103/xB xB = 103/tan 75 degree xB = - 244.83

The measurement is given by: d = xA - xB d = -90.5653 - ( - 244.83)

d = 335.3953

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Answer:

289.4

Step-by-step explanation:

Answer:

The Horizontal Asymptote is the point (0, a).

The Horizontal Asymptote is the line =

= 0.

Step-by-step explanation:

The following statements are true regarding f(x) = aᵇ:

The Domain of the exponential functions is All Real Numbers.

The Horizontal Asymptote is the line y = 0.

The Range of the exponential functions is f(x) > 0.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

The horizontal asymptote is the horizontal line that the graph of the function approaches as x approaches infinity or negative infinity. In this case, the horizontal asymptote is the line y = 0, which means that as x gets very large, the value of f(x) approaches 0.

The domain of the function is the set of all values of x that can be plugged into the function. For exponential functions, the domain is all real numbers because any real number can be raised to any power.

The range of the function is the set of all possible output values that the function can produce. For exponential functions, the range is f(x) > 0, which means that the function can produce any positive real number as output.

The following conclusions about  f(x) = aᵇ are correct:

All Real Numbers are the domain of exponential functions.

The line y = 0 is the Horizontal Asymptote.

The exponential functions have a range of f(x) > 0.

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in this equation ox is your answer.

Step-by-step explanation:

Statements                                                Reasons

1. AK - angle bisector                                 1. Given

2. FP perpendicular AK                             2. Given

3. <FAK congr <PAK                                  3. Definition angle bisector

4. Seg AK congr seg AK                           4. Congr of seg's is reflexive

5. <AKF & <AKP are rt. angles                  5. Def perpendicular lines

6. <AKF is congr <AKP                              6. Thrm: Right angles are congr.

7. Triangle KAF congr triangle KAP         7. ASA

8. A_F = A_P                                                    8. Corresp parts of congr tr are

                                                                           congr

Answer:

-8/9

Step-by-step explanation:

(-7/9) /( (-1 1/6) * (-3/4) )   make all fractions improper fractions

(-7/9) / (-7/6 * -3/4)       solve brackets

(-7/9) / (7/8)

(-7/9) * (8/7)

-8/9