Solve each system by elimination.
- 6r – 6y = -18
-5r + 8y = 24

Answer:

Step-by-step explanation:

To convert 20 cm to meters, we divide by 100, because 1 meter = 100 centimeters.

So, 20 cm = 20/100 m = 0.2 m

To convert 0.2 m to meters in the lowest form, we divide by 15, because 1 meter = 15 units.

So, 0.2 m = 0.2/15 m = 0.013 m

So the final answer is 0.013 m.

Therefore after using the Pythagorean Theorem and the properties of chords in a circle we got 626 when m+n is divided by 1000.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

The longest side of a right-angled triangle, or the side across from the right angle, is called the hypotenuse.

Let M and N be the midpoints of chords AB and CD, respectively.

Let X and Y be the foot of the perpendicular from P to chord AB and CD respectively.

Since X,Y are on the circle and P is the midpoint of XY,

OP = PX = PY = radius = 25

Now, using the Distance Formula:

(XM)^2 + (YN)^2 = (12)^2

By the Pythagorean Theorem, on triangle PXN and PYM,

(25)^2 + (YN)^2 = (PN)^2 = (14/2)^2 and

(25)^2 + (XM)^2 = (PX)^2 = (30/2)^2

OP^2 = 625 = 25^2

thus m+n = 625 + 1 = 626

and remainder when m+n is divided by 1000 is 626 % 1000 = 626

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Answer:30:1

Step-by-step explanation:

60÷2

=30/1

=30:1

Answer:

2/5 or .4

Step-by-step explanation:

basically look at the points where the line meets the graph. two points would be 0,20 and 50,40. then count the amount that it changes vertically and then horizontally. +20vertical +50 horizonal giving the slope 20/50. this can then be simplified to 2/5 or the equivalent number .4

Answer:

If I remember correctly, the slope would be 2/5.

Answer:

2(x+1)

Step-by-step explanation:

I think it's work.

Answer:

x= -7

Step-by-step explanation:

To solve subtract:

100-107= -7

x= -7

Hope this helps!

Answer:

x+107=100 (vert opp angles)

x=100-107

=-7

Answer:

total Change mean how much you change it. For example, If you have 2 dollor you give your mom 1 dollor, then what is your total Change now? 2-1=1 your total Change would be 1

Hope this helps.

Answer:

w = 19/4

Step-by-step explanation:

Solve for w:

-27 + 17 (w - 4) + 3 w = 0

17 (w - 4) = 17 w - 68:

17 w - 68 + 3 w - 27 = 0

Grouping like terms, 17 w + 3 w - 68 - 27 = (17 w + 3 w) + (-27 - 68):

(17 w + 3 w) + (-27 - 68) = 0

17 w + 3 w = 20 w:

20 w + (-27 - 68) = 0

-27 - 68 = -95:

20 w + -95 = 0

Add 95 to both sides:

20 w + (95 - 95) = 95

95 - 95 = 0:

20 w = 95

Divide both sides of 20 w = 95 by 20:

(20 w)/20 = 95/20

20/20 = 1:

w = 95/20

The gcd of 95 and 20 is 5, so 95/20 = (5×19)/(5×4) = 5/5×19/4 = 19/4:

Answer: w = 19/4

The probability that the ace of diamonds and a black card will come is 1 / 51 .

Case A :

probability of first getting an ace of diamonds = 1 / 52

probability of getting a black card given first card is ace of diamond = 26 / 51

Hence , probability that the ace of diamonds and a black card will come is  ( 1 / 52 ) * ( 26 / 51 ) = ( 1 / 102 )

Case B :

probability of first getting a black card = ( 26 / 52 )

probability of getting an ace , given first card is a black card = ( 1 / 51 )

Hence , the probability that the ace of diamonds and a black card will come is  ( 26 / 52 ) * ( 1 / 51 ) = ( 1 / 102 )

P ( A ∪ B ) = P ( A ) + P (B ) + P ( A ∩ B )

                  = ( 1 / 102 ) + ( 1 / 102 )

                = 1 / 51 .

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Answer:

125

Step-by-step explanation:

y = 1k/x^3  I am trying to find the constant k.  I will use the information that I have been given to find k

1 = k/5^3

1 = k/125  Multiply both sides by 125

125 = k

Now, we will find y when x = 1

y = 125/1^3

y = 125

The value of y is 125 when x is 1.

Write the function y as a function of x, i.e., y = f(x), and then solve for x as a function of y, to determine the inverse of a function.

y = 1k/x^3  I am trying to find the constant k.  I will use the information that I have been given to find k

1 = k/5^3

1 = k/125

Multiply both sides by 125

125 = k

Now, we will find y when x = 1

y = 125/1^3

y = 125

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Answer:

7

Step-by-step explanation:

→ Work out area of circle

π × 10² = 100π = 314.159 (3 decimal places)

→ Divide area of circle by box area

314.159 ÷ 46 = 6.8295

→ Round answer as you can't get a decimal of a box

7

The area of a circle is given as πr².

The number of boxes of grass seeds required to cover the garden is 9 boxes.

A circle is a round-shaped figure that has no corners or edges. 

The area of a circle is given as:

Area = πr²

We have,

The radius of the circle = 10 m

Area of the garden:

= πr²

We can take,

π = 22/7 = 3.14

= 3.14 x 10 x 10

= 314 m²

The area of a box of grass seeds:

= 46 m²

The number of boxes of grass seeds to cover the garden area:

= 314 / 46

= 6.8 boxes

Thus,

The number of boxes of grass seeds required to cover the garden is 9 boxes.

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Answer:

36 days.

Step-by-step explanation:

60 + 15 = 75 soldiers.

By proportion the number of days that the provisions will last

=  45 * (60/75)

=  45 * 4/5

= 36 days.

The true statement is Peter walks at a rate of 13 over 4 miles per hour.

Direct variation is when two variables move in the same direction. If one variable increases, the other variable increases. When the hour Peter walks increases, the distance he walks also increases.

Here are the options:

Peter walks at a rate of StartFraction 4 over 13 EndFraction miles per hour.

Peter walks at a rate of 4 miles per hour.

Peter walks at a rate of StartFraction 13 over 4 EndFraction miles per hour.

Peter walks at a rate of 13 miles per hour.

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The amount you will have saved after 4 years with a monthly savings is B. $15,587.88.

To calculate the amount you will have saved after 4 years with a monthly savings of $300 and an annual interest rate of 4% APR, we can use the formula for compound interest.

First, we need to convert the APR to a monthly interest rate by dividing it by 12. So the monthly interest rate is (4% / 12) = 0.3333%.

Next, we calculate the future value of the savings using the formula:

Future Value = P(1 + r)^n - 1 / r

where P is the monthly savings amount, r is the monthly interest rate, and n is the number of months.

Plugging in the values:

Future Value = 300(1 + 0.003333)^48 - 1 / 0.003333

Calculating this expression, we get approximately $15,587.88.

Therefore, The correct answer is B. $15,587.88.

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Answer:

whats the question sir

Step-by-step explanation:

can you show me it like type it for me

Answer:

Step-by-step explanation:

yes

Answer:

no most def doin it wrong

Step-by-step explanation:

You are a district sales manager at the sales target for your team 135,000 per month. Your team's annual sales target is $1,620,000.

To calculate the annual sales target for your team, you need to multiply the monthly target by 12 (the number of months in a year):

Annual sales target = Monthly sales target x 12

Given that the monthly sales target for your team is $135,000, the annual sales target would be:

Annual sales target = $135,000 x 12

= $1,620,000

A Sales Manager is a professional responsible for managing a team of sales representatives within a specific geographic area or district. The role typically involves setting and achieving sales targets, developing and implementing sales strategies, and managing relationships with key customers.

Sales Managers are responsible for recruiting, training, and supervising sales staff, as well as monitoring their performance and providing coaching and guidance as needed. They also work closely with other departments within the organization, such as marketing and finance, to ensure that sales goals are aligned with overall business objectives. They must possess strong leadership and communication skills, as well as a deep understanding of their company's products or services and the competitive landscape in which they operate.

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Complete Question:-

You are a district sales manager at the sales target for your team 135,000 per month ? What is your annual sales?

The percentage error of the student is 11.29%.

The percentage error of the student is calculated as follows:Calculate the difference between the theoretical value and the experimental value:Percentage error is calculated by dividing the difference by the theoretical value, and then multiplying by 100. So, the percentage error of the student is:Therefore, the percentage error of the student is 11.29 %. In a summary, a student is told the theoretical mass % water in her sample is 65.368%. Her experimental value of mass % water is found to be 57.976%. The percentage error of the student is calculated by finding the difference between the theoretical value and the experimental value, dividing the difference by the theoretical value, and then multiplying by 100. The percentage error of the student is 11.29%.

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Answer:

let the no. of boys be 3x and girls be 2x

And according to the question

2x+3x is equal to 900

Step-by-step explanation:

and solve this equation...

hope this helps..

The correct answer is "spines." Spines are the pointed edges of a droplet that radiate out from the spatter.

They can be useful in determining the direction of force applied to the droplet. When a droplet impacts a surface, it spreads out and creates elongated extensions or projections along its periphery, known as spines. By examining the shape and orientation of these spines, forensic analysts can infer the direction from which the force that caused the spatter originated.

The spines provide us with  valuable information about the trajectory and angle of impact, aiding in the investigation and analysis of the event.

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The fraction which should go into the boxes marked A and B in their simplest form is 3/4 and 1/4 respectively.

Total number of fruits Amy has = 10

Number of Apples = 7

Number of Oranges = 3

First random pieces of fruits chosen:

Probability of choosing Apples = 6/9

Probability of choosing Oranges = 3/9

Second random pieces of fruits chosen:

Probability of choosing Apples = 6/8

= 3/4

Probability of choosing Oranges = 2/8

= 1/4

Therefore, the probability of choosing Apples or oranges as the second piece is 3/4 or 1/4 respectively.

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Answer:

2 Hours

Step-by-step explanation:

14+6+6 = 26.

You start with 14, and add on 6 which gives you your starting total 20. So that's one hour. then you add another hour, adding on another $6 making the total $26 and two hours of renting time.

True, if Στ = 0 in a single-factor experiment, then all treatment means must be equal.

In single-factor experiments, if the sum of the treatment effects (Στ) is equal to zero (Στ = 0) for all levels (i=1 to n), then it implies that all treatment means (Ti) must be equal.

In a single-factor experiment, a single independent variable (factor) is manipulated, and its effect on the dependent variable is studied across different levels or treatments.

The treatment effects (τ) represent the differences in the mean response between each treatment level and the overall mean of the dependent variable.

If the sum of these treatment effects (Στ) is equal to zero (Στ = 0), it means that the positive and negative differences cancel each other out, resulting in a net effect of zero.

If Στ = 0, it implies that the total treatment effect across all levels is balanced, indicating that there are no systematic differences between the treatment means.

Consequently, if all treatment effects cancel out and Στ = 0, it implies that the means of all treatment levels (Ti) must be equal since any deviations from the overall mean are offset by equal and opposite deviations in other treatment levels.

Therefore, if Στ = 0 in a single-factor experiment, it indicates that all treatment means must be equal.

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Answer:

6.15*104

Step-by-step explanation:

This is the Taylor series expansion for the function f(x) = x⁴ - 6x² + 1 centered at a = 2.

What is Taylor Series?

In mathematics, the Taylor series or Taylor expansion of a function is an infinite sum of terms that are expressed in terms of the derivative of the function at a single point. For most common functions, the function and the sum of its Taylor series near this point are the same.

To find the Taylor series for the function f(x) = x⁴ - 6x² + 1 centered at a = 2, we can use the formula for the Taylor series expansion:

f(x) = f(a) + f'(a)(x - a)/1! + f''(a)(x - a)²/2! + f'''(a)(x - a)³/3! + ...

First, let's find the values of f(a) and its derivatives at x = a = 2:

f(2) = (2)⁴ - 6(2)² + 1 = 16 - 24 + 1 = -7

f'(x) = 4x³ - 12x

f'(2) = 4(2)³ - 12(2) = 32 - 24 = 8

f''(x) = 12x² - 12

f''(2) = 12(2)² - 12 = 48 - 12 = 36

f'''(x) = 24x

f'''(2) = 24(2) = 48

Now, we can substitute these values into the Taylor series formula:

f(x) = f(a) + f'(a)(x - a)/1! + f''(a)(x - a)²/2! + f'''(a)(x - a)³/3! + ...

f(x) = -7 + 8(x - 2)/1! + 36(x - 2)²/2! + 48(x - 2)³/3! + ...

Simplifying the terms:

f(x) = -7 + 8(x - 2) + 18(x - 2)² + 8(x - 2)³ + ...

This is the Taylor series expansion for the function f(x) = x⁴ - 6x² + 1 centered at a = 2.

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To compare the number of baskets made by Laine and Maddie, we need to find the number of baskets each girl makes in 36 shots.

Laine makes 5 baskets for every 9 shots, so we can set up a proportion:

5 baskets / 9 shots = x baskets / 36 shots

Cross-multiplying, we get:

9x = 5 * 36

Simplifying, we have:

9x = 180

Dividing both sides by 9, we find:

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Answer:

\(\frac{1}{3}\)

Step-by-step explanation:

1. Convert both mixed numbers into improper fractions:

\(\frac{15}{4} x = \frac{5}{4}\)

2. Multiply both sides by 4:

4 · \(\frac{15}{4} x=\frac{5}{4}\) · 4

15x = 5

3. Isolate x:

x = 1/3

hope this helps!

The labor hours required for the eighth satellite are calculated to be 51,200 based on a learning curve value of 0.5120 and an expected improvement curve of 80%.

The learning curve concept suggests that as the cumulative production doubles, the labor hours required to produce each unit decrease by a certain percentage. In this case, the learning curve value for the eighth unit is given as 0.5120, which means that the labor hours needed for the eighth satellite is 51.20% of the labor hours required for the first unit.

To calculate the actual number of labor hours, we multiply the learning curve value by the total labor hours required for the first unit. Given that the total labor hours for the first unit is 100,000, we can calculate the labor hours for the eighth satellite as follows: 0.5120 * 100,000 = 51,200.

Therefore, based on the given learning curve value and the expected improvement curve of 80%, the number of labor hours for the eighth satellite is determined to be 51,200.

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Answer:i did slopes last year I forgot

Step-by-step explanation:

Answer:

m=-5/2

Step-by-step explanation:

the slope of a line is determined by finding the change in the y-values over the change in x-values:

9-4 =  5

0-2     -2

so m= -5/2