Steven earns extra money babysitting. he charges $20.25 for 3 hours and $40.50 for 6 hours.

enter an equation to represent the relationship. let x represent the number of hours steven babysits and y represent the amount he charges.

the equation is y = ________

Answer:

43

Step-by-step explanation:

First, 2014 seconds goes to about 33 minutes. 24 hours to minutes, divided by 33, gets you to 43. hope this helps

Answer:

43

Step-by-step explanation:

We convert 24 hours into seconds.

24 hours * (60 minutes)/hour * (60 seconds)/minute = 86,400 seconds

Now we divide the number of seconds in 24 hours by 2014.

86,400/2014 = 43

Answer: 43

Answer:

its either 63 or 64, im not really sure

So the maximum number of edges in an undirected graph with 100 vertices is 4950.

In an undirected graph, each edge connects two vertices, and as such, it is counted twice, once for each vertex it connects. Therefore, the total number of edges in the graph is the sum of the degrees of all vertices, divided by 2.

In a complete graph with n vertices, every vertex is connected to every other vertex, except itself, and so the degree of each vertex is n-1 (it is connected to n-1 other vertices). Therefore, the total number of edges in the graph is:

n * (n-1) / 2

Substituting n = 100, we get:

100 * 99 / 2 = 4950

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Answer:

15^2 = 225

7^3 = 343

Step-by-step explanation:

To represent the value of the bond after x years, we can use the function:f(x) = 100 * (1 + 0.04)^xwhere x is the number of years the bond has been held.The expression (1 + 0.04) represents the growth factor of the bond per year, since the bond grows in value by 4 percent each year. By raising this factor to the power of x, we obtain the cumulative growth of the bond over x years.Multiplying the initial value of the bond, 100$, by the growth factor raised to the power of x, gives us the value of the bond after x years. This is the purpose of the function f(x).

hello

to solve this question, we can simply use laws of indicies on it

so going by that, we can use this template to solve our problem

from the calculation above, the answer to this question is 1 / x^4 and this corresponds to option D

Answer:

these are tough,   it takes a lot of practice to get used to these, sooo

Step-by-step explanation:

we know the slope, m= -5/3,   and we're given a point so use the point slope formula

y= mx + b

the point we are given is in this form  (x,y)

then plug the information into our point slope formula

y = (-5/3) x  + (-2)

y = -5x/3 -2

Answer:

b = 180 - a - c

Step-by-step explanation:

To solve for b given the literal equation, a + b + c = 180:

Subtract a and c from both sides:

a + b + c = 180

a - a + b + c - c = 180 - a - c

b = 180 - a - c

The distance between the car and Johnstown is decreasing at a rate of 33 miles per hour.

After travelling 63 miles, the distance between the car and Johnstown is changing at a rate of 33 miles per hour, and the distance between the car and Johnstown is 100 miles

To calculate the distance between the car and Johnstown after travelling 63 miles, we need to first find the starting distance.

The car starts off 163 miles directly north from the city of Johnstown, so the starting distance is 163 miles.

We then need to subtract the distance travelled from this starting distance. Since the car is travelling at a rate of 33 miles per hour, it has travelled 63 miles in the given time.

Therefore, the distance between the car and Johnstown is 100 miles

(163 - 63 = 100).

Finally, we need to calculate the rate of change of this distance. Since the car is travelling at a rate of 33 miles per hour, the rate of change of the distance between the car and Johnstown is also 33 miles per hour.

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Answer:

10*36 is 360

360/6 is 60

Step-by-step explanation:

Good luck!

Don't forget you are smart, amazing, and loved!

There cannot be exactly 81 games in a softball league where each team must play each of the other teams exactly once.

In a softball league where each team must play each of the other teams exactly once, there cannot be exactly 81 games. This is because the total number of games played is given by the formula n(n-1)/2, where n is the number of teams in the league.

Let x be the number of teams in the league. The number of games played in a softball league is given by the formula x(x-1)/2.

Therefore, x(x-1)/2 = 81x^2 - x - 162 = 0

Solving for x using the quadratic formula:

x = (1 ± sqrt(1 + 4(162)(2))) / (2*81)= (1 ± 19) / 162

The only positive solution is x ≈ 4.09, but this is not a whole number. Therefore, there cannot be exactly 81 games in a softball league where each team must play each of the other teams exactly once.

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Answer:

To solve this problem, we need to write each number in two different ways, we could use percetanges or fractions.

This number can be written in scientific notation like \(4 \times 10^{7}\), where the exponent depends on the amount of zeros the quantity has.

A second way to write this number would be as a product \(2 \times 20,000,000.00\).

Similarly, this number can be written in scientific notation \(2 \times 10^{-2}\), also, we can write it as a fraction \(\frac{2}{100}\).

This number in scientific notation would be \(1.05 \times 10^{8}\). As a product would be

\(1050 \times 100000\).

In scientific notation would be \(7 \times 10^{-9}\). As a fraction would be \(\frac{7}{1000000000}\).

In scientific notation would be \(4.56983 \times 10^{5}\). Also, we can write it as a sum

\(450,000 + 6,983\)

In scientific notation would be \(6.73 \times 10^{-7}\). As a fraction would be \(\frac{673}{1000000000}\)

Answer:

21

Step-by-step explanation:

3= x/7

3/1=x/7

x=21

I hope this was helpful

Answer:

21

Step-by-step explanation:

3=x/7

x=3×7

x=21

Answer:

30310$

Step-by-step explanation:

Answer:

no. four

Step-by-step explanation:

Price of the oranges per pound..

Answer:

Step-by-step explanation:

Type of orange

Answer:

50

Step-by-step explanation:

the equation is 700-4x=500

Answer:

D) 114

Step-by-step explanation:

111/6 is not integer. 112/6 is not an integer. 113/116 is not either. however, 114/6 is an integer.

Answer:

D) 114

Step-by-step explanation:

114/2 = 57

114/3 = 38

Answer:

C: after 5 seconds

The F-statistic for the F-test for joint significance for the variables that are omitted between Regression 1 and Regression 2 is calculated by dividing the difference between the sum of squares of the two regressions by the sum of squares of the omitted variables.

The F-statistic for the F-test for joint significance is a measure of the strength of the relationship between the variables that have been omitted between two regressions. It is calculated by taking the difference between the sum of squares of the two regressions, and dividing it by the sum of squares of the omitted variables. This gives us a value that indicates how well the omitted variables explain the variance in the data. If the value is high, then the omitted variables do explain a significant amount of the variance in the data, indicating that they should not be omitted.

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The data set contains the variable height (giving a person's height) and the variable gender (coded O=female, 1=male). Then the y-intercept of the regression equation predicting height from gender is given by: option c) the average height of females in the data set.

The y- intercept of a direct retrogression relationship represents the value of one variable when the value of the other is zero. Non-linear retrogression models also live, but are far more complex. Retrogression analysis is a important tool for uncovering the associations between variables observed in data, but can not fluently indicate occasion. The data set contains the variable height (giving a person's height) and the variable gender (enciphered O = womanish, 1 = manly). also the y- intercept of the retrogression equation prognosticating height from gender is given by option c) the average height of ladies in the data set.

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The solution is: the volume of the soup can is 311.01 cm³.

Here,

we know that

the volume of the soup can =pi*r²*h

here, we get,

diameter=6 cm

---------->

so, radius is:

r=6/2

-----> r=3 cm

h=11 cm

so, we get,

the volume of the soup can

=3.14*3²*11

-----> 311.01 cm³

Hence, The solution is: the volume of the soup can is 311.01 cm³.

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Answer: After 1 year:    $5,610

After 2 years: $5,722.20

Step-by-step explanation: Use the formula for periodic compounding interest, which is

A = P(1 + r/n)^(nt), where A is the final amount, P is the initial deposit, r is the interest rate as a decimal, n is the number of times the interest is compounded per year, and t is how many years.

Here, P = 5,500, r = 0.02  (that's 2% as a decimal), n = 1,

t = 1 for the first answer, t = 2 for the second answer (1 year, then for 2 years)

Plug the known values in to solve...

For 1 year...

A = 5,500(1 + 0.02/1)^(1*1)

  A = 5,500(1.02)^1

     A = 5,610

For 2 years...

A = 5,500(1 + 0.02/1)^(1*2)

  A = 5,500(1.02)²

     A = 5,722.20

Thus, the distribution will be approximately normal when the sample size is large.

According to the central limit theorem, even if a population isn't normally distributed, if you take sufficiently big samples from it, the sample means will be.

Here,

the central limit theorem say about the shape of the distribution of the sample means because

If the sample size is big, the solution will be when the distribution is roughly normal.

thus, the distribution will be approximately normal when the sample size is large.

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Answer: 5 pencils left over

Step-by-step explanation:so 133 times 15 is 1995 and you can’t add 15 more to that so you’ll have 5 left over

Answer:

133

Step-by-step explanation:

The value of MN in the diagram is 38 units.

Base on the diagram MQP and MRP are right angles(90 degrees). And also JP is equals to PK. This is because PK and JP are the radius of the circle.

Hence,

JP  =  PK

∠MQP  = ∠MRP = 90 degree

Therefore,

QM = MR

6x - 11 = 2x + 9

6x - 2x = 9 + 11

4x = 20

x = 20 / 4

x = 5

Let's find MN as follows:

PK is perpendicular to MN. Therefore, PK bisect MN into two equal parts.

Hence,

MR = RN

2MR = MN

2(2x + 9) = MN

MN = 2(2(5) + 9)

MN= 38 units

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The steps to translate the triangle ABC to A'B'C' are Shifted 3 units right and 2 units up.

The correct option is (B).

By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related.

As per the given diagram:

We are given the diagram of two triangles drawn on a graph.

With the help of the graph, we can easily figure out the coordinates of each point of the triangle.

The steps to translate the triangle will be the same as that to translate any vertices of the triangle.

Let us consider A:

Coordinates of A = (2, 5)

Coordinates of A' = (5, 7)

For translating A to A':

3 units in +ve x direction. {right}

2 units in +ve y direction. {up}

Hence, The steps to translate the triangle ABC to A'B'C' are Shifted 3 units right and 2 units up.

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The statement n × (10n + 2n) is Ω(nn) is true.Ω(nn) means the function f(n) grows at least as fast as nn grows. To prove the given statement, we need to find the values of c and n0 for which n × (10n + 2n) ≥ cnn, for n > n0. Let's assume c = 1 and n0 = 1.

Then we need to show that n × (10n + 2n) ≥ nn, for n > 1.n × (10n + 2n) = n × 12n = 12nn ≥ nn, for n > 1.Therefore, the statement n × (10n + 2n) is Ω(nn) is true.2. The statement 3n is Θ(2n) is false.To prove this, we need to show that there are no constants c1, c2, and n0 such that c1 · 2n ≤ 3n ≤ c2 · 2n, for all n > n0.If such constants existed, then we could take the logarithm of both sides of the inequality and get:c1 · n · log 2 ≤ log 3n ≤ c2 · n · log 2.

Using the logarithmic identity log ab = b · log a, we can simplify this to:c1 · n · log 2 ≤ n · log 3 ≤ c2 · n · log 2Dividing both sides of the inequality by n · log 2, we get:c1 ≤ log 3 ≤ c2. But this is not possible, because log 3 is a constant, and there is no pair of constants c1 and c2 such that c1 ≤ log 3 ≤ c2. Therefore, the statement 3n is Θ(2n) is false.

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Answer: m=-1

Step-by-step explanation: