(easy) Jinsoul had 2 apples and Chaeyoung had 3 apples. Chaeyoung suggest they share, Jinsoul agrees. Together it makes 5 apples. BUT The apple tree they picked from has 20? 5+20=?

The system of equations are

To determine the system of equations,

The system of equations is parallel.

The correct option is A.

Answer: Neither

Step-by-step explanation:

Answers:

==========================================

Explanation:

Answer:  a. Population = Fortune companies

b. Parameter = proportion of companies did not find that such surveys intruded significantly on their workday.

c. Sampling frame=  List of all Fortune companies.

d. sample size = 500.

Step-by-step explanation:

Population is the largest group of individuals of objects that are point of interest for a researcher.

Here, Population = Fortune companies

Parameter is the measure of characteristic of a population.

Here, Parameter = proportion of companies did not find that such surveys intruded significantly on their workday.

Sampling frame = List of all individuals in population.

Here , Sampling frame=  List of all Fortune companies.

Sample is a subset of population , here sample size = 500.

Answer:

the mean is 53.75 and median is 54

Step-by-step explanation:

Answer:

(-2, 5), x = -2, y = 5

Step-by-step explanation:

When x = -2 and y = 5 on both equations, the equations become true.

Answer:

\(0.\overline{369} = \frac{41}{111}\)

Step-by-step explanation:

x = 0.369369369...

10x = 3.69369369...

100x = 36.9369369...

1000x = 369.369369...

1000x - x = 369

999x = 369

\(x = \frac{369}{999} \\\\x = \frac{123}{333}\\\\x = \frac{41}{111}\)

Answer:

x=18°

Step-by-step explanation:

A=B since they are corresponding angles of a pair of parallel lines.

7x+40=3x+112

4x=72

x=18°

Answer:

r=39.27

d=

Step-by-step explanation:

C=2pi(r)

25=2pi(r)

25/2pi=r

25/2pi=39.27

r=39.27

d=2r

d=2(39.27)

d=78.54

Mr. Marshal spent 1/4 of his salary on miscellaneous expenses and $1,680 on rental; therefore, he spent 1/36 of his entire salary on the trip.

To find the fraction of money spent on miscellaneous, we need to calculate the sum of the fractions spent on rental, food, and bank and subtract it from 1.

Rental: 1/5

Food: 1/10

Bank: 1/4

To find the fraction spent on miscellaneous:

Fraction spent on miscellaneous = 1 - (Rental + Food + Bank)

Rental + Food + Bank = 1/5 + 1/10 + 1/4 = (8 + 4 + 5)/40 = 17/40

Fraction spent on miscellaneous = 1 - 17/40 = 23/40

So, Mr. Marshal spent 23/40 of his salary on miscellaneous.

To find the amount spent on rental, we multiply the fraction spent on rental by his salary:

Amount spent on rental = (1/5) \(\times\) $8,400 = $1,680

Therefore, Mr. Marshal spent $1,680 on rental.

If Mr. Marshal spent 4/9 of the miscellaneous amount on a trip, we need to calculate the fraction of his entire salary spent on the trip.

Fraction spent on the trip = (4/9) \(\times\) (23/40) = 92/360 = 23/90

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Answer:

2+a

Step-by-step explanation:

\(a<2 \implies a-2<0 \implies |a-2|=2-a \\ \\ \therefore f(a)=2a+2-a=2+a\)

Answer:

$60.90

Step-by-step explanation:

Roy makes $10.15 each time he mows his neighbor's lawn. In April he mowed he lawn 2 times. In May he mowed the lawn 3 times. In June he mowed the lawn 1 time. How much money did Roy make in all?

April: 2 times

May: 3 times

June: 1 time

2 + 3 + 1 = 6 times

6 time * 10.15 each time

= $60.90

Answer:

$60.90

Step-by-step explanation:

Add the number of times Roy mowed in total

April: 2

May: 3

June: 1

2 + 3 + 1 = 6

Multiply that amount by the $10.15 he makes each time he mows

10.15(6) = 60.9

The value of the expression is 16x(x+1) / 10x² -14x -12

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)

The given expression is

16/(x-2)  ÷ 4/(x+1) + 6/x

Simplify this to have

16 / (x-2) ÷ (10x + 6) / (x+1)(x)

this implies that 16/(x-2) * (x+1)(x)/(10x +6)

16(x² + x)/(x-2)(10x+6)

Therefore the value of the expression is

16x(x+1) / 10x² -14x -12

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Answer:

A function is a mathematical device that converts one value to another in a known way. ... The set of allowable inputs to a given function is called the domain of the function. The set of possible outputs is called the range of the function.

Step-by-step explanation:

Hopefully this was mindfull

The input set of a function is called the "Domain" of the function.

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

For any function, the values which we are putting form a set of intervals called domain.

For example f(x) = x²

Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.

Hence "The input set of a function is called the "Domain" of the function".

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It has been (mathematically) proven that there is no polynomial time algorithm for any np-complete problem. the given statement is false.

In order to solve previously unsolvable issues, Leonid Khachiyan developed a polynomial-time method, in which the number of processing steps increases as a power of the number of variables rather than exponentially.

Determining whether NP-complete problems are tractable or intractable remains one of the most crucial concerns in theoretical computer science since it is unknown if any polynomial-time algorithms will ever be developed for them.

So, it is unknown if any polynomial-time algorithms will ever be developed for them.

By applying different constraints, a linear function is maximized or reduced in linear programming, a mathematical modelling approach. In commercial planning, industrial engineering, and—to a lesser extent—the social and physical sciences, this method has proven helpful for directing quantitative decisions.

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Answer:

16/7 in simplest form

2.285714286 as a decimal

2 2/7 as an improper fraction

Answer:

P = 0.0438 ; We reject the Null and conclude that there is significant evidence that the discharge limit per gallon of waste has been exceeded.

Due to the small sample size.

Step-by-step explanation:

H0: μ = 500

H1 : μ > 500

Test statistic :

(xbar - μ) / S.E

Tstatistic = (1000 - 500) / 200

= 500 / 200

= 2.5

Pvalue from Test score ; df = 4 - 1 = 3 ; using calculator :

Pvalue = 0.0438

At α = 0.05

Pvalue < α ; We reject the Null and conclude that there is significant evidence that the discharge limit per gallon of waste has been exceeded.

The test above has a very small sample size, and for a distribution to be approximately Normal, the sample size must be sufficiently large enough according to the Central limit theorem.

For a two sided analysis ; the Pvalue is twice that for the one sided, hence, Pvalue = (0.0438 * 2) = 0.0876 yielding a less strong evidence against the Null.

The length KL is 8 units

The value of x is undefined

The length KL is 12 units

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

The rhombus

Also, we have

DK = 8

A rhombus is a quadrilateral with all sides equal.

So, we have

KL = 8

Here, we have

SKAL = 2x - 8

There is no point S on the rhombus

This means that

x = undefined

Here, we have

DM = 5y + 2 and DK = 3y + 6

A rhombus is a quadrilateral with all sides equal.

So, we have

5y + 2 = 3y + 6

Evaluate

2y = 4

Divide

y = 2

So, we have

KL = 5 * 2 + 2

KL = 12

Hence, the length KL is 12 units

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The measure of the length of each part is 2.9 cm.

Bisection of a line segment.

Bisection of a line is a process by which  a given line segment is split appropriately into two equal parts.

Given a line of length 5.8 cm, the following steps are required to bisect it using a ruler and a pair of compasses.

i. Draw the required length of the line segment.

ii. Open the compass to a radius which equals to half of the given line.

iii. With one end of the line and the measured radius of the compass, draw an arc above and below the given line.

iv. Use the second end of the line to draw arcs to intersect the previous arcs.

v. Draw a line through the points of intersection of the arcs above and below the line segment. This is the line bisector.

Therefore, the measure of the length each part is 2.9 cm.

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The approximate surface area of the package is approximately 245.05 square inches.

The best model for the package is a cylinder.

To calculate the approximate surface area of the package, we need to find the lateral surface area of the cylinder and the area of the circular base.

The lateral surface area of a cylinder can be calculated using the formula:

Lateral Surface Area = 2πrh

where r is the radius of the base and h is the height.

The area of the circular base can be calculated using the formula:

Area of Base = \(πr^2\)

Given that the diameter of the bottom is 9 inches, the radius (r) would be half of that, which is 4.5 inches.

Using the given height of 13 inches, we can now calculate the surface area:

Lateral Surface Area = 2πrh = 2π(4.5)(13) ≈ 117.81 square inches

Area of Base = \(πr^2 = π(4.5)^2 ≈ 63.62\) square inches

To find the total surface area, we add the lateral surface area and the area of the base:

Total Surface Area = Lateral Surface Area + 2 × Area of Base = 117.81 + (2 × 63.62) ≈ 245.05 square inches

Therefore, the approximate surface area of the package is approximately 245.05 square inches.

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Answer:

$249,600

Step-by-step explanation:

40% as a decimal is 0.4

We are finding a reduction so we take away from 1. IF it was finding an increased price we would add it to 1.

1-0.4 = 0.6

Now times it by the original price.

416,000 × 0.6 = \(x\)

\(x\) = 249600

$249,600

Hope it helped! :)

Answer:

x + 8

Step-by-step explanation:

Let the missing number be x

According to question,

x + 8

The revenue equation is given by:

R = –360p^2 + 28,800p

To find the maximum revenue that can be expected, we need to find the vertex of the parabola represented by this equation. The vertex of a parabola is given by the formula:

Vertex = (-b/2a, f(-b/2a))

where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.

In this case, a = -360 and b = 28,800.

The x-coordinate of the vertex is given by:

x = -b/2a = -28,800/(2*(-360)) = 40

Substituting x = 40 into the revenue equation gives:

R = –360(40)^2 + 28,800(40) = 576,000

Therefore, the maximum revenue that can be expected is $576,000.

Again let me know what other ones you need help with

Answer:

Option A

Step-by-step explanation:

Option A is an arithmetic sequence.

Each week, the salary goes up by a fixed $50.

To verify this, subtract any two consecutive weeks' salaries.

For example: $250 - $200 = $50; $350 - $300 = $50, etc.

The common difference in 50.

We have an arithmetic sequence with 20 terms. The first term is $200. We need to find the sum of the 20 terms.

The sum of an arithmetic sequence is given by the formula:

\( S_n = \dfrac{n}{2} \times [2a_1 + (n - 1)d] \)

S_n = sum of first n terms

n = number of terms = 20

a_1 = first term = 200

d = common difference = 50

\( S_{20} = \dfrac{20}{2} \times [2(200) + (20 - 1)(50)] \)

\( S_{20} = 10 \times [400 + 19(50)] \)

\( S_{20} = 10 \times [400 + 19(50)] \)

\( S_{20} = 13500 \)

Option A gives a total of $13,500 for the first 20 weeks.

Option B is a geometric sequence in which the salary goes up by 10% each week. To verify this, divide any salary by the previous week's salary.

For example: $220/$200 = 1.10; $266.20/$242 = 1.10; in each case, each salary is 1.1 times the previous week's salary which means a 10% increase. The common ratio of the geometric sequence is 1.1.

We need the formula for the sum of the first n terms of a geometric sequence.

\( S_n = \dfrac{a_1(1 - r^n)}{1 - r} \)

\( S_{20} = \dfrac{200(1 - 1.1^{20})}{1 - 1.1} \)

\( S_{20} = \dfrac{200(1 - 6.7274999)}{-0.1} \)

\( S_{20} = 11455 \)

Option B gives a total of $11,455 for the first 20 weeks.

Answer: Option A

An initial value differential equation is S(t) = 10 * e^(-0.005t).

The initial value differential equation for the amount of sugar in the tank can be modeled as:

dS/dt = (0.2 kg/L) * 10 L/min - (S/400 L) * 10 L/min

        dS/S = -0.005 dt

        ln(S) = -0.005t + C

        ln(10) = C

        S(t) = 10 * e^(-0.005t)

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Answer: y = (x - 1)² - 3

Step-by-step explanation:

y = (1-1)²-3
y=0-3
y=-3

Answer: where is the answer choices

Step-by-step explanation:

The area of the given triangle is 84 cm².

The area of any two-dimensional figure is the space occupied within its boundary.

The area of a triangle is calculated using the formula, A = (1/2)*b*h, where A is its area, b is the length of its base, and h is the length of its height.

In the question, we are asked to find the area of the given triangle.

The length of the base of the given triangle, b = 21 cm.

The length of the height of the given triangle, h = 8 cm.

We can calculate the area of the given triangle, using the formula, A = (1/2)*b*h, where A is its area, b is the length of its base, and h is the length of its height.

A = (1/2)*(21)*(8) cm²,

or, A = 84 cm².

Thus, the area of the given triangle is 84 cm².

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