Complete the table and then graph the function.
y = 3x

Answer:

10

Step-by-step explanation:

2-digit numbers are numbers that have two digit which they start from 10-99 so in this question i chose 10 as an example.

Answer:

You will receive $21.69, assuming there's no tax ;).

I added the 24.49 to the 3.82 and got 28.31, then subtracted that from 50.

The first system of equations is (x, y) = (2, 5).

The solution to the second system of equations is

(x, y) = (4/5, 1.6).

The third system of equations is not a system of linear equations, so it cannot be solved using the method of substitution.

Generally, To solve the first system of equations, we can solve the first equation for y in terms of x: y = 3x - 1. Then, we can substitute this expression for y into the second equation:

4(3x - 1) = 7.

Solving this equation for x gives us x = 2. Substituting this value for x back into the first equation gives us y = 3*2 - 1 = 5. Therefore, the solution to the first system of equations is (x, y) = (2, 5).

The second system of equations is also a system of two linear equations with two variables, so we can solve it using the same method of substitution. Solving the second equation for y in terms of x gives us y = (3/4)x + 1. Substituting this expression for y into the first equation gives us 3x - [(3/4)x + 1] = 1.

Solving this equation for x gives us x = 4/5. Substituting this value for x back into the second equation gives us y = (3/4)(4/5) + 1 = (12/20) + (20/20) = (32/20) = 1.6. Therefore, the solution to the second system of equations is

(x, y) = (4/5, 1.6).

The third system of equations is not a system of linear equations, so it cannot be solved using the method of substitution. Instead, we will need to use a different method, such as the method of elimination or the method of graphing, to find the solution.

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How many solutions does each system of equations have?

a. 3x – y = 1

b. y + 4x = 7

4y = 3x + 4

c.

31+3=9x

-2y – 4 = 8x

8y - 6x = 8

Let's start by defining some variables: Let x be the airspeed of the first plane in kilometers per hour.
Then the airspeed of the second plane is x+80 km/h.

Let t be the time in hours that the first plane flies before the second plane starts.
After two hours, the first plane has flown for t+2 hours, and the second plane has flown for t hours. To solve for the airspeeds, we need to use the formula: distance = rate x time.

The distance the planes fly in opposite directions is the sum of the distances each plane flies:
distance = (x)(t+2) + (x+80)(t), We are told that after two hours, the planes are 3165 kilometers apart, so we can set up an equation: 3165 = (x)(t+2) + (x+80)(t).

Simplifying this equation:
3165 = xt + 2x + xt + 80t + 80
3165 = 2xt + 82t + 2x + 80
3165 = 2t(x+40) + 2x + 80
3085 = 2t(x+40) + 2x

Now we can solve for x:
3085 = 2t(x+40) + 2x
3085 = 2tx + 80t + 2x
3085 = 4tx + 80t
38.5625 = tx + 20t
1.928125 = x + 20

So the airspeed of the first plane is x = 1.928125 - 20 = 18.071875 km/h.
The airspeed of the second plane is x+80 = 18.071875 + 80 = 98.071875 km/h. Let's denote the airspeed of the first plane as x km/h and the airspeed of the second plane as (x + 80) km/h.


Since the planes fly in opposite directions, the sum of the distances they travel is equal to the distance between them, which is 3165 km. Therefore, we can write the equation: 2x + 1.5(x + 80) = 3165

Now we can find the airspeed of the second plane: x + 80 = 870 + 80 = 950 km/h, So, the first plane's airspeed is 870 km/h and the second plane's airspeed is 950 km/h.

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Answer:

First, 3x11 equals 33. Then 4x12 equals 48, so the area would be 4/12

Step-by-step explanation:

This probability does not support the Trump/Farage claim that 60% of all immigrants are male.

What is the probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes, and how likely they are.

The probability of obtaining 257 or fewer males in a sample of 583 immigrants can be found using the binomial probability formula, which calculates the probability of a specific number of successes (male immigrants) in a fixed number of trials (sample size) with a fixed probability of success (p = 0.60).

Using the binomial formula, the probability of obtaining 257 or fewer males in a sample of 583 immigrants can be found by summing the probabilities of obtaining 257 males, 256 males, 255 males, etc. up to 0 males.

Using a binomial calculator, we can find that the probability of obtaining 257 or fewer males in a sample of 583 immigrants is about 0.04.

This probability is quite low, which suggests that it is unlikely to obtain 257 or fewer males in a sample of 583 immigrants if the proportion of male immigrants is actually 60%.

Therefore, this probability does not support the Trump/Farage claim that 60% of all immigrants are male.

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Answer:

It is either -3 or 25

Step-by-step explanation:

add or take away 14 from 11

Answer: 1/6

Step-by-step explanation:

Answer: I think 8?

Step-by-step explanation:

You might be adding the 6 so therefore maybe you do 6+2= 8 if the median was eqaul to 6.

If this isnt right, I'm sorry!

Answer: 1

The set is:

6 1 5 4 8 7 2 1 2 2

First: We get the median of the original set. To do this we change it from highest to lowest.

1 1 2 2 2 4 5 6 7 8

Then we take the middle number of this set which is the median

2 and 4 are the middle so the median is 3

The median of set 1 is 3

Second: We get the median of the set but with another 6 added

1 1 2 2 2 4 5 6 6 7 8

Take the middle number of this set which is the median

4

The median of set 2 is 4

From this we know the median increases by 1 if the number 6 is added!

Answer:

1. y= 3x-6

2. y= 1/2x-2

Step-by-step explanation:

Rise over run

Answer:

1) 48

2)44

Step-by-step explanation:

Answer:  48 44 Are The Correct Answers

Step-by-step explanation:Hope This Helps

2x + 2y = 42

2w + q = 35

2w + v = 29

x + q + y - v = ?

x = 7

y = 14

w = 3

q = 29

v = 23

7 + 29 + 14 - 23 =

The answer is 27

Answer: \(\Large\boxed{27}\)

Step-by-step explanation:

Given information converted into a mathematical statement

\(a = icecream\\b=cookie\\c=brownie\\d=cake\\e=creamed cake\)

\(1)~a+b+a+b=42\)

\(2)~c+d+c=35\)

\(3)~c+c+e=29\)

\(4)~a+d+b-e=\mbox{?}\)

Simplify each equation

\(1)~2a+2b=42\)

\(2)~2c+d=35\)

\(3)~2c+e=29\)

\(4)~(a+b)+(d-e)=\mbox{?}\)

Factorize 2 out of the 1) equation

\(2a+2b=42\)

\(2(a+b)=42\)

Divide 2 on both sides

\(2(a+b)\div2=42\div2\)

\(a+b=21\)

Current system

\(1)~a+b=21\)

\(2)~2c+d=35\)

\(3)~2c+e=29\)

\(4)~(a+b)+(d-e)=\mbox{?}\)

Subtract 3) equation from the 2) equation

\((2c +d)-(2c+e)=(35)-(29)\)

Expand the parenthesis

\(2c+d-2c-e=35-29\)

Combine like terms

\(2c-2c+d-e=6\)

\(d-e=6\)

Current system

\(1)~a+b=21\)

\(2)~d-e=6\)

\(3)~(a+b)+(d-e)=\mbox{?}\)

Substitute values into the 3) equation to determine the final value

  \((a+b)+(d-e)\)

\(=(21)+(6)\)

\(\Large\boxed{=27}\)

Hope this helps!! :)

Please let me know if you have any questions

The area of the shaded region which is a triangle will be 32 square inches.

Surface area refers to the area of an open surface or the border of a multi-object, whereas the area of a plane region or plane field refers to the area of a form or planar material.

From the graph, the height of the triangle is given as,

2h = L

2h = 16 inches

h = 8 inches

And the base of the triangle is half of the base of the rectangle. Then we have

b = L / 2

b = 16 / 2

b = 8 inches

Then the area of the shaded region is given as,

A = 1/2 x 8 x 8

A = 32 square inches

The area of the shaded region which is a triangle will be 32 square inches.

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Answer:

  ∆QRS / ∆XZY = 1/2

Step-by-step explanation:

You want the similarity ratio of ∆QRS to ∆XZY. Side lengths are marked in the diagram.

The similarity ratio will be the ratio of two corresponding side lengths.

You can find corresponding sides several ways:

The ratios of corresponding sides are 1:2, 2:4, and 2:4. The 2:4 ratios reduce to 1:2, which is the answer you're looking for. Written as a fraction, the ratio is ...

  1/2 . . . . ratio of ∆QRS to ∆XZY

The required radian angle the dog has rotated through is 2.5 radians.

To find the radian angle the dog has rotated through, we can use the formula:

θ = arc length/radius

In this case, the arc length is the distance the dog has traveled, which is the length of the car, 25 feet. The radius is the length of the leash, 10 feet.

θ = 25 feet / 10 feet = 2.5 radians

Therefore, the radian angle the dog has rotated through is 2.5 radians.

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The probability the x is less than 14 is 0.4087

Probability is a measure of the possibility of an event occurring.

The likelihood could range from 0 to 1, , where 0 indicates an impossibility and 1 indicates a certainty. Probability is the ratio of possible outcomes to the total outcomes.

Probability = Possible outcomes/total outcomes

Z score is given by:

Z = (14-18)/03

Z = -1.333

from Z table,

P(z < -1.333) = 0.4087

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The probability is the measure of the chance that the event will occur as a result of and experiment. Mutually exclusive probability of an event complement of event a relative frequency.

What kind of probability is founded on the observed data?

What three forms of probability are there?

Three main categories of probability exist:

Probability in theory. Scientific Probability. Probability axiomatically.

Probability refers to the possibility that a specific occurrence will occur. Probability is the proportion of the number of likely outcomes to the total number of outcomes of an event.

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Barbara's speed in nice weather is 55 mph,

and her speed in the thunderstorm is 30 mph.

Here, we have,

Let's denote Barbara's speed in clear weather as "x mph."

Given that she drives $55 {mi}$ in clear weather, the time it takes her to cover this distance is given by:

Time in clear weather = Distance / Speed = 55 / x hours

Since she encounters a thunderstorm for the last $45 {mi}$, her speed through the thunderstorm is "x - 25 mph."

The time it takes her to cover this distance is given by:

Time in thunderstorm = Distance / Speed = 45 / (x - 25) hours

The total time for the trip is given as $2.5 {hr}$:

Total time = Time in clear weather + Time in thunderstorm

2.5 = 55 / x + 45 / (x - 25)

To solve this equation, we can multiply through by x(x - 25) to eliminate the denominators:

2.5x(x - 25) = 55(x - 25) + 45x

Expanding and simplifying:

2.5x² - 62.5x = 55x - 1375 + 45x

2.5x²- 162.5x + 1375 = 0

Now we can solve this quadratic equation using the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Plugging in the values a = 2.5, b = -162.5, and c = 1375:

x = (-(-162.5) ± √((-162.5)² - 4 * 2.5 * 1375)) / (2 * 2.5)

Simplifying:

x = (162.5 ± √(26406.25 - 13750)) / 5

x = (162.5 ± √12656.25) / 5

x = (162.5 ± 112.5) / 5

This gives us two possible values for x:

x₁ = (162.5 + 112.5) / 5 = 275 / 5 = 55 mph

x₂ = (162.5 - 112.5) / 5 = 50 / 5 = 10 mph

Since Barbara's speed cannot be 10 mph (which would imply driving at a negative speed through the thunderstorm), the only valid solution is x = 55 mph.

Therefore, Barbara's speed in nice weather is 55 mph, and her speed in the thunderstorm is 55 - 25 = 30 mph.

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The probability that all 11 tests will be positive is 0.8007

The probability that at least one test will be negative is 0.1993

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

p = 0.98

n = 11

The probability that all 11 tests will be positive is

P = pⁿ

So, we have

P = 0.98¹¹

Evaluate

P = 0.8007

Here, we use

P = 1 - P(No negative)

So, we have

P = 1 - 0.8007

Evaluate

P = 0.1993

Hence, the probability is 0.1993

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Answer: 17.333333.....

Step-by-step explanation:

You take 30-4. then divide 26 by 1.5 = 17.33333333333333333333333

Answer:

17 batches

Step-by-step explanation:

if you are left with 4 cups of flour, that means you used 26 cups to batch cookies.

1.5 cups = 1 cookie batch

26 cups = 26 * 1 / 1.5

26/1.5 = 260/15 = 52/3 = 17.3 or 17 batches.

Make sure to confirm this my man

To find the area of the shaded region, we first need to find the radius of the circle. The formula for the circumference of a circle is C=2πr, where C is the circumference and r is the radius. We can rearrange this formula to solve for r, which gives us r=C/2π. Plugging in the given circumference of 100.48 centimeters, we get r=100.48/2π≈16.00 centimeters.

Now that we have the radius, we can find the area of the entire circle using the formula A=πr^2. This gives us A=π(16.00)^2≈804.25 square centimeters.

Finally, since the shaded region is 3/10 of the whole circle, we can find its area by multiplying the area of the entire circle by 3/10. This gives us (3/10)×804.25≈241.28 square centimeters, rounded to the nearest hundredth.

The area of the shaded region is approximately 241.28 square centimeters, rounded to the nearest hundredth.

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Answer:

1 and 1/6

Step-by-step explanation:

7 / 6 has a greater numerator so simplify to 1 whole and one sixth

Answer:

x=24

Step-by-step explanation:

Hi there!

We are given the following proportion:

\(\frac{2}{10}=\frac{3}{x-9}\)

And we want to solve for x.

First, let's reduce \(\frac{2}{10}\), as reducing fractions typically makes the process easier

\(\frac{2}{10}\) is the same as \(\frac{1}{5}\)

So:

\(\frac{1}{5}=\frac{3}{x-9}\)

We can't do anything to \(\frac{3}{x-9}\), but that's okay.

Now we can cross multiply, as this is a proportion

Multiply x-9 by 1 and 3 by 5

1(x-9)=3(5)

Multiply

x-9=15

Now this is an equation

Our goal is to isolate x on one side

So let's add 9 to both sides to remove it from the left side

x-9=15

 +9 +9

_________

x=24

Hope this helps!

Answer:

24

Step-by-step explanation:

Cross multiply:

2(x - 9) = 2x - 18

3(10) = 30

2x-18 = 30

   +18   +18

-----------------

  2x = 48

 -----   -----

   2       2

     x = 24

Hope this helped.

one real eigenvalue. find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace.

What is eigenvalue?

In linear algebra, an eigenvector or characteristic vector of a linear transformation is a nonzero vector that, when the linear transformation is applied to it, changes at most by a scalar factor. The factor by which the eigenvector is scaled is known as the associated eigenvalue, frequently denoted by lambda.

a) -4

b) 1

c) 1

Step-by-step explanation:

a) The matrix A is given by:

\(A=\left[\begin{array}{ccc}-3 & 0 & 1 \\2 & -4 & 2 \\-3 & -2 & 1\end{array}\right]\\\)

where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:

\(A-\lambda I=\left[\begin{array}{ccc}-3-\lambda & 0 & 1 \\2 & -4-\lambda & 2 \\-3 & -2 & 1-\lambda\end{array}\right]\)

and by taking the determinant:\(\begin{aligned}& {[(-3-\lambda)(-4-\lambda)(1-\lambda)+(0)(2)(-3)+(2)(-2)(1)]-[(1)(-4-\lambda)(-3)+(0)(2)(1-} \\& \lambda)+(2)(-2)(-3-\lambda)]=0 \\& -\lambda^3-6 \lambda^2-12 \lambda-16=0\end{aligned}\)

and the roots of this polynomial is:

\(\begin{aligned}& \lambda_1=-4 \\& \lambda_2=-1+i \sqrt{3} \\& \lambda_3=-1-i \sqrt{3}\end{aligned}\)

hence, the real eigenvalue of the matrix A is -4.

b) The multiplicity of the eigenvalue is 1.

c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)

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Complete Quetion

The matrix A= (−3 0 1, 2 −4 2, −3 −2 1) has one real eigenvalue. Find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace. The eigen value = has multiplicity = and the dimension of the corresponding eigenspace is:_______.

Answer:

100/360 * 2\(\pi\)5

1000\(\pi\)/360 = 25\(\pi\)/9 = 8.722

Step-by-step explanation:

The correct option is B that is The ratio of a task's due date to its completion time is known as the crucial ratio is false.

Given that,

The ratio of a task's due date to its completion time is known as the crucial ratio.

We have to prove is the statement is true or false.

We know that,

CR stands for Critical Ratio refers to the rule of dispatching which determine the priority index number through dividing the time to due date which remained through expected elapsed time in order to complete the job.

This ratio is used in work priority sequencing waiting for processing at work center. It is established by formals due date divided by the aggregate shop remaining time. The ratio less than 1 are behind, greater than 1 are ahead as well as ratio of 1 is on schedule.

The formula is as:

CR stands for "Time Left Until Due Date / Remaining Processing Time."

Therefore, the correct option is B that is The ratio of a task's due date to its completion time is known as the crucial ratio is false.

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To the nearest year, $5,000 invested at 5% per year, compounded daily, will be worth $10,000 in approximately 14 years.

To determine the time it takes for the investment to double, we can use the compound interest formula: A = P(1 + r/n)^(n*t), where A is the future value, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, the principal amount (P) is $5,000, the annual interest rate (r) is 5% (or 0.05), and the investment is compounded daily, so the number of times interest is compounded per year (n) is 365. We want to find the number of years (t) it takes for the investment to reach $10,000.

Setting up the equation: 10,000 = 5,000(1 + 0.05/365)^(365*t), we can solve for t using logarithms or trial and error. The result is approximately 14 years. Therefore, it will take approximately 14 years for the $5,000 investment to grow to $10,000 at a 5% annual interest rate, compounded daily.

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