Combine like terms to create an equivalent expression.

Enter any coefficients as simplified proper or improper fractions or integers.

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2

3

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+

5

6

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−

1

6

−

3

2

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a+

6

5

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a−

6

1

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Answer:

0.64

Step-by-step explanation:

here is the explanation

Answer:

$25,226

Step-by-step explanation:

We know that one billion is equal to 1,000 millions

So, we first multiply 80.8 by 1,000 so we can use millions as our unit.

Which gives you $80,800

So, East Dakota spent $80,800 million in 2016 for the 3.203 million people. Right now, we just ignore the "million" part and divide 80,800 by 3.203 which is around 25,226.35029659694

Now we just round it to the nearest dollar and since the tens place is only at 3, we round down.

Hence, our answer is $25,226

Answer:

B) $6.99

Step-by-step explanation:

Answer: Circumference of cake board is 35π cm.

Step-by-step explanation:Since we have given that

Diameter of a round cake = 30 cm

Diameter of a cake board is 5 cm longer than the diameter of a round cake.

So, Diameter of a cake board = 30+5=35 cm

So, radius of a cake board will be

As we know the formula for " Circumference of Circle ":

So, According to question, we get,

Hence, Circumference of cake board is 35π cm.

Answer: 35π cm

Step-by-step explanation:

The Value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC Therefore, AC is Congruent to c .

Since AC and BD bisect each other at O, we can say that AO = OC and BO = OD.

We need to prove that AC = CD.To do this, we can use the segment addition postulate which states that if a line segment is divided into two parts, the length of the whole segment is equal to the sum of the lengths of the two parts.

Let us draw a diagram to represent the given information:From the diagram, we can see that:AO + OB = AB (By segment addition postulate)OC + OD = CD (By segment addition postulate)AO = OC (Given)BO = OD (Given)

Now, we can substitute the values of AO and OC as well as BO and OD into the equations above:AO + OB = AB ⇒ OC + OB = AB (Substituting AO = OC)OC + OD = CDNow, we can add both equations:OC + OB + OC + OD = AB + CD ⇒ 2(OC + OD) = AB + CDWe know that OC = AO and OD = BO.

Therefore, we can write:2(AO + BO) = AB + CDSince AO = OC and BO = OD, we can write:2(OA + OD) = AB + CDNow, substituting AO = OC and BO = OD, we can write:2AC = AB + CD

Finally, we can substitute the value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC

Therefore, AC is congruent to c .

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Answer:

the lowest point of the dry lake bed in the example has an elevation of -18 3/4 ft what number represents the change in elevation from the start of the path to the lowest point in the dry lake bed show your work (my teacher said she messed it up so it’s the same question just the numbers are -18 3/4 - (-12 1/2) explain how !

Answer:

Um we can’t see anything it’s just white

Step-by-step explanation:

Answer:

273,050

Step-by-step explanation:

(27000+300+5)×10

=27305×10

=273050

One egg contains 17.88 mg of cholesterol, one cupcake contains 83.33 mg of cholesterol, and one slice of pizza contains 27.22 mg of cholesterol.

What is the linear equation?

Linear equations are the equations of degree 1. It is the equation for the straight line. The standard form of linear equation is ax+by+c =0, where a ≠ 0 and b ≠ 0.

Let's call the amount of cholesterol in one egg "x".

Then, the amount of cholesterol in one cupcake is "y" and the amount of cholesterol in one slice of pizza is "z".

From the first statement, we can set up the equation:

x + y + z = 302

From the second statement, we can set up another equation:

3y + 4z = 89

And from the third statement, we can set up a third equation:

3x + y = 844

Now we have three equations with three unknowns, so we can solve for the values of x, y, and z.

Starting with the third equation:

3x + y = 844

y = 844 - 3x

Next, we can substitute this expression for y in the first equation:

x + (844 - 3x) + z = 302

4x + z = -542

z = -542 - 4x

Finally, we can substitute these expressions for y and z in the second equation:

3y + 4z = 89

3(844 - 3x) + 4(-542 - 4x) = 89

2532 - 9x + -2168 - 16x = 89

536 - 25x = 89

25x = 536 - 89

25x = 447

x = 17.88

Hence, one egg contains 17.88 mg of cholesterol, one cupcake contains 83.33 mg of cholesterol, and one slice of pizza contains 27.22 mg of cholesterol.

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Answe 6-6

Step-by-step explanation: i hade 6 point and i lost 6 points hint 6-6

Answer:

-6 :(

Step-by-step explanation:

21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100 are all composite numbers greater than 20. Next time do a quick search before resorting to brainly.

Answer:  see boxed answers below

Step-by-step explanation:

(i) multiply the exponent to the coefficient then subtract 1 from the exponent.

\(y=\dfrac{3}{5x^3}+3x^4+2x^2-20\\\\\\\text{rewrite it as follows}: y=\dfrac{3}{5}x^{-3}+3x^4+2x^2-20x^0\\\\\\y'=(-3)\dfrac{3}{5}x^{-3-1}+(4)3x^{4-1}+(2)2x^{2-1}-(0)20x^{0-1}\\\\\\y'=-\dfrac{9}{5}x^{-4}+12x^3+4x^1-0\\\\\\y'=\large\boxed{-\dfrac{9}{5x^{4}}+12x^3+4x}\)

(ii) Use the division formula:    \(y = \dfrac{a}{b}\rightarrow \quad y'=\dfrac{ab'-a'b}{b^2}\)

\(a=5x^3+1\qquad \qquad a'=15x^2\\b=3x^5+4x^2\qquad \quad b'=15x^4+8x\\\\\\y'=\dfrac{(15x^2)(3x^5+4x^2)-(5x^3+1)(15x^4+8x)}{(3x^5+4x^2)^2}\\\\\\.\quad =\dfrac{45x^7+60x^4-75x^7-55x^4-8x}{(3x^5+4x^2)^2}\\\\\\.\quad =\large\boxed{\dfrac{-35x^7+5x^4-8x}{(3x^5+4x^2)^2}}\)

Answer:

Before a variable there is no coefficient.

There is an invisible 1 infront bc there is no real number. so the 1 appears.

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Step-by-step explanation:

please mark me as brainlest

Answer:

126

Step-by-step explanation:

Total number of apples = 9

Number of favourite Mathematics lecturers = 5

To find number of ways in which 9 (identical) apples can be given to your 5 favourite Mathematics lecturers, find \(C(9,5)\)

Combination refer to selection of items such that order does not matter.

Use \(C(n,p)=\frac{n!}{p!(n-p)!}\)

Put \(n=9,p=5\)

\(C(9,5)=\frac{9!}{5!(9-5)!}\\=\frac{9!}{5!4!}\\=\frac{9(8)(7)(6)5!}{5!4!} \\=\frac{9(8)(7)(6)}{4(3)(2)(1)}\\=126\)

Let the particular student be named A.

There are total 45 students, so the number of students other than A will be 44.

The experiment is to select a student.

Favourable event: The particular student is selected, that is, A gets selected.

There is only 1 way to select A from the total students.

The probability of any event is given by,

So the probability that the particular student (A) is selected is given by,

Thus, the required probability is 2.22% approximately.

Therefore, the 4th option is the correct choice.

Answer:

1st= 4   2nd= 0    3rd= 1.5

Step-by-step explanation:

The speed on the 1st section is 4 km per hour.

The speed on the 2nd section is 0 km per hour

The speed on the 3rd section is 1.5km per hour

All three approaches yield the same result: AED4,600,000 (Expenditure Approach), AED1,600,000 (Income Approach), and AED1,800,000 (Production Approach). This consistency demonstrates that the three approaches provide equivalent measures of GDP.

To calculate the contributions to GDP of the given transactions, we can use the three approaches: the expenditure approach, income approach, and production approach. Let's calculate the GDP using each approach and demonstrate that they give the same answer.

Expenditure Approach:

GDP is calculated as the sum of all final expenditures. In this case, the final expenditures are the sales of the supercomputers.

GDP = Sales of supercomputers

= (3 * AED1,000,000) + (1 * AED800,000)

= AED3,800,000 + AED800,000

= AED4,600,000

Income Approach:

GDP can also be calculated by summing up all the incomes earned during production. In this case, the incomes include wages, interest, and taxes.

GDP = Wages + Interest + Taxes

= (Labour costs for ABC + Labour costs for Jumbo) + (Interest on debt for ABC) + (Taxes for ABC + Taxes for Jumbo)

= (AED1,000,000 + AED200,000) + AED100,000 + (AED200,000 + AED100,000)

= AED1,200,000 + AED100,000 + AED300,000

= AED1,600,000

Production Approach:

GDP can also be calculated by summing the value added at each stage of production. In this case, the value added is the sales price minus the cost of components purchased.

GDP = Sales price of supercomputers - Cost of components

= (3 * AED1,000,000) + (1 * AED800,000) - (4 * AED500,000)

= AED3,000,000 + AED800,000 - AED2,000,000

= AED1,800,000

As we can see, all three approaches yield the same result: AED4,600,000 (Expenditure Approach), AED1,600,000 (Income Approach), and AED1,800,000 (Production Approach). This consistency demonstrates that the three approaches provide equivalent measures of GDP.

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The solution in interval notation is; (-∞,  49/2).

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

To solve the equation 5/16x - 7/4 < 3/4x + 21/2, we can simplify both sides:

5/16x - 7/4 < 3/4x + 21/2

Combining like terms:

5/16x  -3/4x  < 21/2 + 7/4

8/16x < 49/4

1/2x < 49/4

Simplifying the fraction;

x < 49/2

Therefore, the solution in interval notation is (-∞,  49/2).

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The person must leave the money in the bank for approximately 10.6 years (rounded to the nearest tenth of a year) for it to reach 8700 dollars.

To solve this problem,  the compound interest formula:

\(A = P(1 + r/n)^{nt}\)

where:

A = the future worth of the speculation

P = the underlying speculation (present worth)

r = the yearly loan cost (as a decimal)

n = the times the interest is accumulated each year

t = the quantity of years

We need to find the worth of t that will make An equivalent to 8700 bucks. We are aware that P is $3,500 and that r is 6.25 percent, or 0.0625 in decimal form. The value of n is unknown, but the fact that the interest is compounded annually indicates that n is 1.

Substituting these values into the formula, we get:

\(8700 = 3500(1 + 0.0625/1)^{1t}\)

Simplifying the right side, we get:

\(8700 = 3500(1.0625)^t\)

Dividing both sides by 3500, we get:

\(2.485714286 = 1.0625^t\)

Taking the logarithm of both sides (with any base), we get:

\(log(2.485714286) = log(1.0625^t)\)

Using the power rule of logarithms, we can bring the exponent t down:

\(log(2.485714286) = t log(1.0625)\)

Dividing both sides by log(1.0625), we get:

\(t = log(2.485714286) / log(1.0625)\)

Using a calculator, we get:

t ≈ 10.6

Therefore, to reach $8700, the individual must keep the money in the bank for approximately 10.6 years (rounded to the nearest tenth of an year).

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Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Answer:

B. principal

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

(X) =x3 to the function q(x-6)3-4

Answer:

f(x) = (x + 3)(x − 3)(x − 1)

Step-by-step explanation:

The roots are at -3, -1 and 3 therefore the 3rd option is correct.

Answer:

The answer is D

Step-by-step explanation:

Attatched photo for proof

Car 12 of Train B is also 12 cars away from Car 19 on Train B.

Since each train boasts 31 cars, we can ascertain the total amount of vehicles between Car 19 and Car 12 on Train A:

31 - 19 = 12

Thus, Car 12 on Train A is a dozen units distant from Car 19 on Train A.

Nevertheless, Train B is furthermore moving in an inverring direction and has its exclusive set of automobiles between Car 19 and Car 12. We comprehend that the matching figure of cars must be amongst Car 19 and Car 12 on Train B as with Train A.

In essence, Car 12 of Train B is also 12 cars away from Car 19 on Train B.

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