You were making $15 an hour and are now making $18 an hour. What is the percent of change in your hourly wage? This is a 2 part question. The first part you will tell the percent of change "Without the % sign included in your answer" the second part you will determine if it is a "Increase or Decrease"​

Answer:

83438143e + 21

Step-by-step explanation:

83438143e + 21

Answer:

5.) 13,841,287,201 x 2,401. 6.) 64⁴.

Step-by-step explanation:

PEMDAS requires parenthesis first, then exponents, then multiplication/division, and then addition/subtraction. For 5, lets find 7¹². According to my calculations, that is 13,841,287,201. Now for 7⁴. According to my calculations, that is 2,401. Now, we have 13,841,287,201 x 2,401. In math, an expression is a problem. If I solve it, it wouldn't be an expression, so I'll just leave it at that. For 6, we do the parenthesis first. 8² is 64. 64 to the fourth power is 16,777,216. If I solved it, it wouldn't be an expression, so we have to leave it at 64⁴. If you are wondering, 64⁴ is equal to 16,777,216. I hope this helps!

Answer:

the fist one = 160 - 24

the second one = 12.50 / 5

Step-by-step explanation:

Answer:

15. equation: g+24=160, and the answer is g=136

16. equation: 5d=12.50, answer is d=3.5 hours

17. 15 cakes are made when the cost is $395

Step-by-step explanation:

15: You know that there are 160 students in 7th grade. This would be on one side of the equal sign. You know that there are 24 more students in the 7th grade class than the 8th grade class. And we know that g represents the number of students in the 8th grade class. So you set up your equation as g+24=160. You would subtract 24 from both sides: g+24-24=160-24, which gives you g=136.

16: You spend $5 an hour, so, on one side, you will have 5. On the other you will have $12.50. We will let d represent dollars, and it will go with the 5 to give us 5d. The equation is 5d=12.50. From there, you will divide 5 from both sides: 5d/5=12.50/5, which gives you d=3.5.

17:  So, we have the equation, and we just plug in what we know. So, $395=24n+35. From there, we will subtract 35 from both sides. That would give us $395=24n and we will divide 24 from both sides to give us n=15 cakes.

The value of the car to the nearest cent, after 9 years is; 4891 cents

The exponential regression equation will be given as;

y = A₀e^(kx)

Where;

A₀ is the coefficient of exponential regression.

k is the constant.

For x = 0, the value of y will be $ 14100. Then we have;

18200 = A₀e^(k * 0)

Thus; A₀ = 18200

Thus, the exponential regression equation is;

y = 18200e^(kx)

For x = 1, the value of y will be $15728. Then we have;

15728 = 18200e^(k * 1)

Thus; k = -0.146

The equation is now;

y = 18200e^(-0.146x)

Then after 9 years, the value of a car will be

y(9) = 18200e^(-0.146 * 9)

y(9) = 4891

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False the t-statistic is a useful tool for hypothesis testing in regression analysis.

The t-statistic for coefficient bi in a regression model can be used to test the hypothesis that factor xi has an effect on the outcome Y.

In fact, the t-statistic is commonly used to test the null hypothesis that the population value of the coefficient is zero, which would indicate that there is no effect of the predictor variable on the outcome variable.

If the t-statistic is large enough and the p-value is small enough, we can reject the null hypothesis and conclude that there is evidence that the predictor variable has an effect on the outcome variable.

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The one that has the most circles in a group :D

Answer: $3.85 per/gal.

Step-by-step explanation:

$46.20/ 12 =

Hank's route to work has a length of approximately 21 kilometers.

Let's assume the length of Hank's route to work is dd kilometers. On Monday, Hank drove at an average speed of 70 km/h, and he arrived 11 minutes late. The time it took him to complete the journey can be calculated using the formula \text{{time}} = \frac{{\text{{distance}}}}{{\text{{speed}}}}time

Converting the 11 minutes to hours (11 minutes = \frac{{11}}{{60}} (hours), we can set up the equation \frac{d}{70} = \frac{11}{60} On Tuesday, Hank drove at an average speed of 75 km/h and arrived 11 minutes early. Using the same formula, we have

\(\frac{d}{75} = -\frac{11}{60}\)

where the negative sign indicates arriving early.

Solving the two equations, we find that d \approx 21d≈21 kilometers. Therefore, Hank's route to work is approximately 21 kilometers long.

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The vertical asymptotes are x = -3, x = 2, and x = -1. So, the answer will be:x = -3, x = 2, x = -1

The answer to the given question is given below.

(a) lim x → −3 A(x)

The limit of the function at x = -3 is infinite.

So, the answer will be [infinity].(b) lim x → 2− A(x)

The limit of the function at x = 2 from the left side of the vertical asymptote is infinite.

So, the answer will be [infinity].(c) lim x → 2+ A(x)

The limit of the function at x = 2 from the right side of the vertical asymptote is -[infinity].

So, the answer will be -[infinity].

(d) lim x → −1 A(x)

The limit of the function at x = -1 is -[infinity].

So, the answer will be -[infinity].

(e) The equations of the vertical asymptotes.

The vertical asymptotes are x = -3, x = 2, and x = -1. So, the answer will be:x = -3, x = 2, x = -1

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Answer: Elena would be the correct answer

Step-by-step explanation: since ants have 6 legs and have 1 body we know that there are 6 legs for every 1 ant. hope this helps

Answer:

d

Step-by-step explanation:

If you're solving for a, you'll want to isolate it on one side of the equals sign. When doing this, you have to add q to the left side so it equals zero; and whatever you do to the right, you do the left so (3/4a=k+q). After this, you want to use the same logic to get rid of of the 3/4 on the left side. Since the opposite of 3/4 is 4/3, multiply (3/4)x(4/3) instead of (3/4)/(3/4) to make it easier. Since you did that to the left side, you should do it to the right (a=4/3(k+q)). Sorry for my bad handwriting.

Answer:

4 GB

Step-by-step explanation:

$60.00-$47.50=$12.50

$12.50/3=4+

Answer:

$27

Step-by-step explanation:

25 * 0.08 = 2

25 + 2 = 27

The volume of the 'scooped' pyramid is approximately 26.6667 cubic units.

To find the volume of the 'scooped' pyramid, we first need to determine the area of its base. Since the cross-sectional area of the pyramid is x 4 at a distance x from the tip, we can assume that the area at the tip is zero. This means that the area of the base is 4 times the area at a distance of 5 from the tip (since the distance from tip to base is 5).

Therefore, the area of the base is 4x4 = 16 square units. To find the volume, we can use the formula for the volume of a pyramid, which is:

Volume = (1/3) x Base Area x Height

In this case, the height of the pyramid is 5 units. So, we can substitute the values we have:

Volume = (1/3) x 16 x 5

Volume = 26.6667 cubic units

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Answer:

perimeter of the garden=2(length+width)

=2(7√13+√13)

=2(8√13)

=16√13

Answer:

1/6

Step-by-step explanation:

1- 1/2 = 1/2

1/2- 1/3 = 1/6

The fractional part which left after eat half and then one third of rest is 1/3.

Fraction:

Fraction is mathematical representation of any number that distribute over some numbers

Ex: 3/7 represent 3 is distributed in 7 equally parts.

One friend is eat 1/2 of the dessert

then rest part will be = 1 - 1/2 = 1/2

Now second friend eat one third of 1/2

that is 1/3*1/2 = 1/6 eats

Then the remaining part is

1/2 - 1/6 = 2/6 = 1/3

Hence the final answer is 1/3

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Therefore, the values of constants a, b, and c are a = -2, b = 14, and c = 10 to satisfy the given conditions.

To find the values of constants a, b, and c so that the graph of y = ax^3 + bx^2 + cx has a local maximum at x = -2, a local minimum at x = 4, and an inflection point at (1, -26), we can use the given conditions to set up a system of equations.

Condition 1: Local maximum at x = -2

To have a local maximum at x = -2, the derivative of the function at x = -2 should be equal to 0, and the second derivative should be negative.

Taking the derivative of the function, we get:

y' = 3ax^2 + 2bx + c

Evaluating the derivative at x = -2:

0 = 3a(-2)^2 + 2b(-2) + c

0 = 12a - 4b + c ... Equation 1

Taking the second derivative of the function, we get:

y'' = 6ax + 2b

Evaluating the second derivative at x = -2:

y''(-2) < 0

6a(-2) + 2b < 0

-12a + 2b < 0

6a - b > 0 ... Equation 2

Condition 2: Local minimum at x = 4

To have a local minimum at x = 4, the derivative of the function at x = 4 should be equal to 0, and the second derivative should be positive.

Evaluating the derivative at x = 4:

0 = 3a(4)^2 + 2b(4) + c

0 = 48a + 8b + c ... Equation 3

Taking the second derivative of the function:

y'' = 6ax + 2b

Evaluating the second derivative at x = 4:

y''(4) > 0

6a(4) + 2b > 0

24a + 2b > 0

12a + b > 0 ... Equation 4

Condition 3: Inflection point at (1, -26)

To have an inflection point at (1, -26), the function should satisfy the coordinates of the inflection point.

Substituting x = 1 and y = -26 into the function:

-26 = a(1)^3 + b(1)^2 + c

-26 = a + b + c ... Equation 5

Now we have a system of equations (Equations 1, 2, 3, 4, and 5) that we can solve simultaneously to find the values of a, b, and c.

Solving this system of equations, we find the values:

a = -2, b = 14, c = 10

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The function \(f(x)=(logn)2+2n+4n+logn+50 belongs to the Θ(n)\) complexity category, in accordance with the big theta notation.

Let's get started with the solution to the given problem.

The given function is:

\(f(x) = (logn)2 + 2n + 4n + logn + 50\)

The term 4n grows much more quickly than logn and 2n.

So, as n approaches infinity, 4n dominates these two terms, and we may ignore them.

Thus, the expression f(x) becomes:

\(f(x) ≈ (logn)2 + 4n + 50\)

Next, we can apply the big theta notation by ignoring all of the lower-order terms, because they are negligible.

Since 4n and (logn)2 both grow at the same rate as n approaches infinity,

we may treat them as equal in the big theta notation.

Therefore, the function f(x) belongs to the Θ(n) complexity category as given in the question,

which is a correct option.

Alternative way of solving:

Given function:

\(f(x) = (logn)2 + 2n + 4n + logn + 50\)

Hence, we can find the upper and lower bounds of the given function:

\(f(x) = (logn)2 + 2n + 4n + logn + 50<= 4n(logn)2 (\)\(using the upper bound of the function)\)

\(f(x) = (logn)2 + 2n + 4n + logn + 50>= (logn)2 (using the lower bound of the function)\)

So, we can say that the given function belongs to Θ(n) category,

which is also one of the options mentioned in the given problem.

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Answer:

(14, 4)

Step-by-step explanation:

The question is not well structured and incomplete.

Restructured

Find an ordered pair to represent in the equation vec t = 4 vec u +6 vec v where vec u =(-1,4) and vec v = (3,-2)

Substitute the given vector into the expression for vec t.

Recall that: vec t = 4 vec u +6 vec v

vec t = 4(-1,4)+6(3,-2)

vec t = (4(-1), 4(4)) + (6(3), 6(-2))

vec t = (-4, 16) + (18, -12)

vec t = (-4+18, 16+(-12))

vec t = (14, 16-12)

vec t = (14, 4)

Hence an ordered pair to represent vec t in the equation is (14, 4)

Note that the vec v was assumed. Any other vector coordinate can also be used

It follows that the anticipated value of the biassed coin game is zero if the expected earnings from playing it are $0. The chance of each occurrence is multiplied by the associated payout, and the result is added to determine the expected value.

Let's say that in this scenario, the prizes for a head would be $x and the winnings for a tail would be -$y (because it would result in a loss). The odds of getting a head are 0.8 to 1 and getting a tail are 0.2 to 0.8.

We can construct the equation to determine the relationship between x and y:

(0.8 * x) + (0.2 * (-y)) = 0

If we simplify this equation, we get:

0.8x - 0.2y = 0

Rearranging results in:

0.8x = 0.2y

This suggests that x equals

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Answer:

D. 51

Step-by-step explanation:

First of all A. is out cause it's not a number.

Natural numbers are counted from 1 so officially B and C are out.

Integers are numbers which can be both negative or positive

This leaves us with D. which is 51

Answer:

2√6

Step-by-step explanation:

make me brainliest please

I could be misunderstanding your question, but I think you want to know the simplest form of √ 24 .

√ 24 = √ 4 ⋅ 6 = √ 4 √ 6 = 2 √ 6

Because √ 6 cannot be simplified, we are finished.

To use the annihilator method, we first find the characteristic equation of the homogeneous equation: r^2 - 5r + 6 = 0, which factors as (r-2)(r-3) = 0. So the homogeneous solution is u_h(x) = c1*e^(2x) + c2*e^(3x).

Next, we get the annihilator of the term cos(2x) in the nonhomogeneous equation. Since cos(2x) is a solution to the homogeneous equation u''-5u'+6u=0, we need to use the second order operator (D^2 - 5D + 6) on our particular solution. This gives us:
(D^2 - 5D + 6)(A cos(2x) + B sin(2x)) = (-4A + 10B) cos(2x) + (-10A - 4B) sin(2x)
Setting this equal to cos(2x), we get the system of equations:
-4A + 10B = 1
-10A - 4B = 0
Solving for A and B, we get A = -1/26 and B = -5/26. So our particular solution is:
u_p(x) = (-1/26)cos(2x) - (5/26)sin(2x)
And the general solution to the nonhomogeneous equation is:
u(x) = u_h(x) + u_p(x) = c1*e^(2x) + c2*e^(3x) - (1/26)cos(2x) - (5/26)sin(2x)

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To use the annihilator method, we first find the characteristic equation of the homogeneous equation: r^2 - 5r + 6 = 0, which factors as (r-2)(r-3) = 0. So the homogeneous solution is u_h(x) = c1*e^(2x) + c2*e^(3x).

Next, we get the annihilator of the term cos(2x) in the nonhomogeneous equation. Since cos(2x) is a solution to the homogeneous equation u''-5u'+6u=0, we need to use the second order operator (D^2 - 5D + 6) on our particular solution. This gives us:
(D^2 - 5D + 6)(A cos(2x) + B sin(2x)) = (-4A + 10B) cos(2x) + (-10A - 4B) sin(2x)
Setting this equal to cos(2x), we get the system of equations:
-4A + 10B = 1
-10A - 4B = 0
Solving for A and B, we get A = -1/26 and B = -5/26. So our particular solution is:
u_p(x) = (-1/26)cos(2x) - (5/26)sin(2x)
And the general solution to the nonhomogeneous equation is:
u(x) = u_h(x) + u_p(x) = c1*e^(2x) + c2*e^(3x) - (1/26)cos(2x) - (5/26)sin(2x)

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Answer:

2 is the answer to you question

Step-by-step explanation:

The probability that a randomly selected gas station in Russia charges more than the mean price in the United States is approximately 0.0495 or 4.95%.

For the United States:

Mean price (μ) = $3.73

Standard deviation (σ) = $0.25

Probability that a randomly selected gas station in the United States charges less than $3.50 per gallon:

To find this probability, we need to standardize the value $3.50 using the z-score formula: z = (x - μ) / σ

z = ($3.50 - $3.73) / $0.25

z = -0.23 / $0.25

z = -0.92

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of -0.92. The probability is the area under the standard normal curve to the left of -0.92.

Using the standard normal distribution table or calculator, we find that the probability is approximately 0.179.

Therefore, the probability that a randomly selected gas station in the United States charges less than $3.50 per gallon is approximately 0.179 or 17.9%.

For Russia:

Mean price (μ) = $3.40

Standard deviation (σ) = $0.20

Percentage of gas stations in Russia that charge less than $3.50 per gallon:

We'll follow the same approach as before and standardize the value $3.50 using the z-score formula: z = (x - μ) / σ

z = ($3.50 - $3.40) / $0.20

z = 0.10 / $0.20

z = 0.50

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 0.50. The probability is the area under the standard normal curve to the left of 0.50.

Using the standard normal distribution table or calculator, we find that the probability is approximately 0.6915.

Therefore, the percentage of gas stations in Russia that charge less than $3.50 per gallon is approximately 0.6915 or 69.15%.

Probability that a randomly selected gas station in Russia charges more than the mean price in the United States:

To find this probability, we need to standardize the mean price in the United States using the z-score formula: z = (x - μ) / σ

z = ($3.73 - $3.40) / $0.20

z = 0.33 / $0.20

z = 1.65

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.65. The probability is the area under the standard normal curve to the right of 1.65.

Using the standard normal distribution table or calculator, we find that the probability is approximately 0.0495.

Therefore, the probability that a randomly selected gas station in Russia charges more than the mean price in the United States is approximately 0.0495 or 4.95%.

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Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Range which must be hauled by trucks :

150,000 - 180,000 yds of earth

Haul per day = 10000 yds

Already removed = 120,500

We can express the problem as an inequality:

Using y = number of days

150,000 ≤ (10000y + 120,500) ≤ 180000

150,000 ≤ (10000y + 120,500)

150000 - 120500 ≤ 10000y

29500/10000

y = 2.95 days

10000y + 120,500 ≤ 160000

10000y ≤ 160000 - 120500

y = 39500/10000

y = 3.95

2.95 ≤ y ≤ 3.95

The geometric mean radius of the unconventional conductors in terms of the radius r of an individual strand is 1.583r.

To find the geometric mean radius of the unconventional conductors, we need to understand the concept of geometric mean. The geometric mean of two numbers is the square root of their product. In this case, we are looking for the geometric mean radius of multiple strands.

First, we need to determine the number of strands in the unconventional conductors. The question does not provide this information explicitly, so we assume there are at least two strands.

We know that the geometric mean radius is the square root of the product of the individual strand radii. Let's assume there are n strands, and the radius of each strand is r. Therefore, the product of the individual strand radii would be r^n.

Now, we can calculate the geometric mean radius by taking the square root of r^n. Mathematically, it can be expressed as (r^n)^(1/n) = r^((n/n)^(1/n)) = r^1 = r.

Therefore, the geometric mean radius in terms of the radius r of an individual strand is 1.583r.

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Answer:

1/6

Step-by-step explanation:

1/2 * 1/3 = 1/6

He ate 1/6 of the whole pan.