Which value is the solution to the equation 20=y+12 ? ( use substitution to find solutions to equations.)

Answer:

Matched or paired data

Step-by-step explanation:

In statistics the different types of study included experimental and observational with the matched or paired data.

The observational study is one in which there is no alteration in the obseravtions or any change. It is purely based on observations.

The experimental study is one in which some experiment or change is brought about to see the effects of the experiment and the results are recorded as before and after treatment etc.

The matched or paired study is one in which two or more groups are simultaneously observed , recorded to find the difference between them or other parameters which maybe useful for the differences or similarities.

Answer:

The answer would be -3 1/18

Step-by-step explanation:

Hope this helps :)

Answer:

Is that your answer ☺️☺️☺️. If I'm right so,

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While one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

In a race between two runners, one of them had a personal best time, while the other runner neither trained nor had a personal best time.

The runner who had a personal best time implies that they had trained and put in effort to improve their performance. A personal best time suggests that they have achieved their highest level of performance in a race. This indicates that the runner has dedicated time and effort to their training regimen, focusing on improving their speed and endurance.

On the other hand, the runner who neither trained nor had a personal best time implies that they did not invest effort in training or actively seek to improve their performance. They may have participated in the race casually or without specific training goals in mind. As a result, they did not achieve a personal best time, indicating that they did not put in the necessary effort to reach their full potential.

In summary, while one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

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Answer:

Angle A = tan^-1(11/5)
Angle C = 90 - tan^-1(11/5)
AC = sqrt(146)

Step-by-step explanation:

As this is a right triangle, we can apply the Pythagorean theorem a^2 + b^2 = c^2, where c is the hypotenuse while a and b are the legs, to solve for AC.

11^2 + 5^2 = AC^2

121 + 25 = AC^2

146 = AC^2

sqrt(146) = AC^2

Next, to find angle A, we can use one of the trigonometric functions. Let’s use tangent for simplicity. Tangent of an angle is “opposite divided by adjacent”. If we set the angle to A, opposite is side BC and the adjacent is side AB. Thus, tan(A) = 11/5 and tan^-1(11/5) = A.
Since the sum of angles in a triangle is 180, we can find angle C by setting up this equation: C = 180 - 90 - tan^-1(11/5), which is 90 - tan^-1(11/5)

Answer:

3 + 6 = 9

6 + (-4) = 2

Step-by-step explanation:

Answer:

9 and 2

Step-by-step explanation:

3 + 6 =

9

6 + (-4) =

6-4=

2

Answer:

80 gallons and a leaking problem.

Step-by-step explanation:

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Answer: 6

Step-by-step explanation:

Answer:

803.53

Step-by-step explanation:

Cost of car insurance = 73 traffic tickets + 146.53

y = (73 × 9) + 146.53

y = 657 + 146.53

y = 803.53

Car insurance costs 803.53

Answer:

Step-by-step explanation:

Let x be the number of pounds of Ground Chicory and y be the number of pounds of Jamaican Blue Mountain coffee. Since he wants to make a blend of 16 pounds, we have:

x + y = 16

The cost of the coffee blend should be $6 per pound, so the total cost of the blend is:

6(16) = $96

The cost of x pounds of Ground Chicory at $5 per pound and y pounds of Jamaican Blue Mountain coffee at $9 per pound is:

5x + 9y

We want to minimize the cost of the blend, subject to the constraint that the total weight is 16 pounds. This gives us the following optimization problem:

Minimize 5x + 9y

Subject to: x + y = 16

To solve this problem, we can use the method of Lagrange multipliers. The Lagrangian function is:

L(x, y, λ) = 5x + 9y + λ(x + y - 16)

Taking partial derivatives and setting them to zero, we get:

∂L/∂x = 5 + λ = 0

∂L/∂y = 9 + λ = 0

∂L/∂λ = x + y - 16 = 0

Solving these equations, we get:

λ = -5

x = 7

y = 9

Therefore, Joseph should use 7 pounds of Ground Chicory and 9 pounds of Jamaican Blue Mountain coffee to make a 16-pound blend that costs $6 per pound.

The value of the given summation is:

\(\sum (29a_i - 13b_i) ]= -30\)

Here we know that the sums are:

\(\sum a_i = -10\\\\\sum b_i = -20\)

And we want to find the value of the sum:

\(\sum (29a_i - 13b_i)\)

First we can distribute the sum to get:

\(\sum 29a_i + \sum - 13b_i\)

And take the coefficients out of the sum:

\(29\sum a_i -13\sum b_i\)

Now replace the known values:

\(29\sum a_i -13\sum b_i = 29*-10 - 13*-20 = -290 + 260 = -30\)

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Solving the provided question, we can say that the quadratic equation is \((x - 1)(x^{2} + 3x - 4)\) = \(x^{3} + 2x^{2} - 7x + 4\) and the roots of the polynomial are x = 1, -1, 4.

A quadratic polynomial in a single variable is represented by the equation  \(ax^{2}+bx+c=0\). a 0. Since this polynomial is of second order, the Fundamental Theorem of Algebra guarantees that it has at least one solution. There are both simple and complex solutions.

A quadratic equation is just that—quadratic. It has at least one word that has to be squared, as shown by this. One of the often used solutions for quadratic equations is "ax2 + bx + c = 0." where X is an undefined variable and a, b, and c are numerical coefficients or constants.

the quadratic equation is

\((x - 1)(x^{2} + 3x - 4)\) = \(x^{3} + 2x^{2} - 7x + 4\)

On multiplying,

⇒ \(x (x^{2} + 3x - 4) - (x^{2} + 3x - 4)\)

⇒ \(x^{3} + 3x^{2} - 4x - x^{2} - 3x + 4\)

⇒ \(x^{3} + 2x^{2} - 7x + 4\)

∴ We can say that LHS = RHS.

From given equation, the roots of the equation will be  -

\((x - 1)(x^{2} + 3x - 4)\)

⇒ x - 1 = 0

⇒ x = 1

\(x^{2} + 3x - 4 = 0\)

⇒ \(x^{2} - 4x + x - 4\)

⇒ \(x(x - 4) + 1(x - 4)\)

⇒ (x + 1) (x - 4)

⇒ x = -1, x = 4

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Answer:

They have to go 30 m below sea level to reach wreckage.

Step-by-step explanation:

jane and her friends are diving to explore a wreckage from a ship that is 40 meters below sea level the platform they dive from is 10 meters above sea level.

Below sea level means = -40 m

Above sea level means = +10 m

It means,

-40 m + 10 m

= -30 m

Hence, they have to go 30 m below sea level to reach wreckage.

Understanding statistical questions and data distributions is an important concept in data analysis and statistics. A statistical question is one that can be answered by collecting and analyzing data.

These questions typically ask about a population or group of individuals and are often related to trends or patterns.

Data distributions refer to the way data is spread out or distributed within a dataset. This can include measures like the mean, median, and standard deviation. Understanding data distributions is important for making accurate interpretations and predictions based on the data.

To practice understanding statistical questions and data distributions, it's important to work with real-world datasets and ask questions that can be answered using statistical analysis.

This can involve looking at trends and patterns in the data and interpreting the results in a meaningful way. By building these skills, you can become better equipped to analyze and interpret data in a variety of settings.

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The rate of interest is given by the equation R = 3.5 %

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Given data ,

Let the rate of interest be represented as R

Now , the simple interest I = $ 175

The principal amount invested P = $ 2,500

The time period T = 2 years

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Rate of Interest = (Simple Interest x 100 ) / Principal Amount x Time Period )

Substituting the values in the equation , we get

Rate of Interest R = ( 175 x 100 ) / ( 2500 x 2 )

Rate of Interest R = 17500 / 5000

Rate of Interest R = 3.5 %

Hence , the interest rate is 3.5 %

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Answer:

Step-by-step explanation:

No explanation is needed because there is no question.

Answer:

you got it

Step-by-step explanation:

no explanation needed

Answer:

1050

Step-by-step explanation:

Multiply 150 by 7

Answer:

y=2/3x

Step-by-step explanation:

the ratio is 2:3, so this would graph according to the information given

Answer:

y=2/3x

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the two consecutive natural numbers whose sum is 575, we can set up the following equation:

x + (x+1) = 575

where x and x+1 are the two consecutive natural numbers.

We can solve this equation by combining like terms:

2x + 1 = 575

Subtracting 1 from both sides, we get:

2x = 574

Dividing both sides by 2, we get:

x = 287

Therefore, the two consecutive natural numbers are 287 and 288. Our final answer is 287, 288.

Answer:

287,288

Step-by-step explanation:

Question

The sum of two consecutive natural numbers is 575. Find the numbers

soln

x +( x + 1) = 575

x + x + 1 = 575

2x + 1 = 575

2x = 575 – 1

2x = 574

\( \frac{2x}{2} = \frac{574}{2} \)

x = 287

since we got x as 287, lets solve(x+1)

by substituting

287 + 1 = 288

hence the consecutive numbers are 287,288

Check

287 + 288 = 575

we are correct.

i hope this helps

The ratio of the scaled area to the actual area of the patio is 0.1389 square feet : 320 square feet or 1 : 2306.56

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

The actual dimensions of the patio are 20 feet by 16 feet.

The scale factor is 1 inch to 4 feet,

This means that 1 inch on the scale drawing represents 4 feet in reality.

So the dimensions of the scale drawing are:

20 feet x (1/4) = 5 inches (length on scale drawing)

16 feet x (1/4) = 4 inches (width on scale drawing)

The area of the actual patio is:

= 20 feet x  16 feet

= 320 square feet

The area of the scale drawing is:

= 5 inches x 4 inches

= 20 square inches

The ratio of the area of the scaled drawing to the actual area of the patio is: 20 square inches : 320 square feet

To simplify this ratio, we need to convert both values to the same units.

Converting the area of the scale drawing to square feet:

= 20 square inches x  (1/144) square feet/square inch

= 0.1389 square feet

So the ratio of the area of the scaled drawing to the actual area of the patio is:

0.1389 square feet : 320 square feet

Or, in simplified form:

1 : 2306.56

Thus,

The ratio of the scaled area to the actual area of the patio is 0.1389 square feet : 320 square feet or 1 : 2306.56

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Answer:

1. range = {-8,-6,0,8}

2. My graph is attached to this response as a photo.

Step-by-step explanation:

1. ⭐What is the "domain" of a function?

⭐What is the "range" of a function?

⭐What is the "set notation"?

Therefore, we have to find the corresponding y-values for the given x-values, and then write said y-values in set notation.

To find the corresponding y-values for the given x-values, substitute each given x-value into g(x) and solve for g(x).

✦ When x = -3

\(g(x) = 2x-2\)

\(g(-3) = 2(-3) -2\)

\(g(-3) = -6 -2\)

\(g(x) = -8\)

✧ y = -8

________________________________________________________

✦ When x = -2

\(g(-2) = 2(-2) -2\)

\(g(-2) = -4-2\)

\(g(-2) = -6\)

✧ y = -6

________________________________________________________

✦ When x = 1

\(g(1) = 2(1) -2\)

\(g(1) = 2-2\)

\(g(1) = 0\)

✧ y = 0

________________________________________________________

✦ When x = 5

\(g(5) = 2(5) -2\)

\(g(5) = 10 -2\)

\(g(5) = 8\)

✧ y = 8

________________________________________________________

Next, we have to write the y-values in set notation. Make sure to write it from least to greatest.

range = {-8, -6, 0, 8}

Answer:

x+100

Step-by-step explanation:

x^2-10,000/x-100

x^2-10000 is a difference in squares and can be factored.

x^2-10000 = (x+100)(×-100).

(x+100)(x-100)/(x-100)

(x-100) cancel each other.

x+100 remains.

Answer:

0.75x

Step-by-step explanation:

Theres not much to show. It says that you buy x bags of chips for $0.75. So how I got 0.75x is because you have to multiply 0.75 x times to get your answer,but here they just want you to write an equation with out solving it.

Answer:

w(25) = 96

There are 96 wolves in the year 2020

Step-by-step explanation:

Given:

\(w(x)=14\cdot 1.08^{x}\)

w(25) =

\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)

Number of years : 1995 + 25 = 2020

In 2020, there are 96 wolves

Answer: y = -x + 2

The slope - intercept form of equation is given as

y = mx + b

Where m = slope and b = intercept

Step 1: we need to find the slope of the two lines

slope = rise/run

rise = y2 - y1

Run = x2 - x1

Slope = y2 - y1 / x2 - x1

From the given points, let x1 = 0, y1 = 2, x2 = -2 and y2 = 4

Slope = 4 - 2 / -2 - 0)

Slope = 2 / -2

Slope = -1

For a given point

(y - y1) = m(x - x1)

Let x1 = 0 and y2 = 2

(y - 2) = -1(x - 0)

y - 2 = -x + 0

y = -x + 2

Therefore, the equation of the lines (0, 2) and (-2, 4) is y = -x + 2

Answer: 6 feet and 2 yards are the same distance because each yard is 3 feet

Step-by-step explanation:

If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is 17.

If you flip two coins 68 times, the best prediction for the number of times both coins will land on tails is 17.

The possible outcomes when two coins are flipped are;

head - head = HH

tail - tail = TT

Head and tail = HT

Tail and head = TH

The probability of getting two heads = 1/4

If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is calculated as;

Expected value = (68 flips) x (1/4 probability of getting HH) = 17

The probability of getting two tails = 1/4

Expected value = 68 x 1/4 = 17

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To find the area of the shaded region, we need to find the area of the hexagon and subtract the area of the circle.

To find the area of the hexagon, we should find the length of the apothem, which is also the radius of the circle.

Since we can divide the hexagon into 6 equilateral triangles, we can use this to find the apothem:

We can take one of those 6 triangles:

The purple line, h is the height of the triangle but also is the apothem of the hexagon. Now, we have two right triangles that we can use to find h (apothem):

And now, we can use the pythagorean theorem to find the length of h:

And solve:

Now. we can find the area of the hexagon and the circle.

The formula for the area of a hexagon is:

Where a is the apothem. Then:

And now, need to calculate the area of the circle:

And the area of the shaded region is the difference between the area of the hexagon and the area of the circle:

Area of a circle=πr^2

circumference of a circle= 2πr

circumference of a circle=25.12

2πr=25.12

r=25.12÷2π=4

radius=4

Are of circle= πr^2=π4^2=50.28cm^2

Answer: 4096

Step-by-step explanation: 2^12

There are 4096 different color combinations are possible.

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

Given that The shirt printing company offers 12 colors to choose from for the logo design.

Here, we need to get the possible number of color combinations possible.

Since any number of colors can be chosen, there are no restriction.

That means the number of possible color combinations are;

\(2^{12} = 4096\)

There are 4096 different color combinations are possible.

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