Jon has to pay $9.00 admission for the skating rink and $2 per hour to
rent roller blades. How many hours can he skate for $19?*
3
5
06

The solution using laws of exponents are;

A) 10⁻⁵

B) 10³

C) 10⁻²

D) 10⁻²⁰

E) 10⁻¹

F) 10⁻¹⁴

Some of the laws of exponents are;

1) Product of powers rule:

When multiplying two bases with the same value, keep the bases the same and then add the exponents together to get the solution

2) Quotient of powers rule; When trying to divide two bases of the same value, keep the base the same, and then subtract the exponent values.

3) Power of a power rule; This rule tells how to solve equations where a power is being raised by another power.

4) Power of a product rule; Whenever any base is being multiplied by an exponent, then we distribute the exponent to each part of the base.

A) 10⁻³ × 10⁻²

= 10⁻³⁻²

= 10⁻⁵

B) 10⁴ × 10⁻¹

= 10⁴⁻¹

= 10³

C) 10⁵/10⁷

= 10⁵⁻⁷

= 10⁻²

D) (10⁻⁴)⁵

= 10⁻⁴*⁵

= 10⁻²⁰

E) 10⁻³ × 10²

= 10⁻³⁺²

= 10⁻¹

F) 10⁻⁹/10⁵

= 10⁻⁹⁻⁵

= 10⁻¹⁴

Read more about Laws of Exponents at; https://brainly.com/question/11761858

#SPJ1

Answer: 3 = 12 , 4 = 2 , 2 = 22
             

Step-by-step explanation: Since t represents the number of tickets purchased, we need to plug that into our equation.

d = -10t + 42

d = -10(3) + 42

We know that d is the balance of the bank account, so if we plug in the number of tickets purchased, we will solve to get the balance of the bank account.

d = -10(3) + 42

d = -30 + 42

d = 12

In this equation, If we purchase 3 tickets, the balance of the bank account would be 12 dollars.

Let's do the last 2 equations using d = -10t + 42.

d = -10(4) + 42

d = -40 + 42

d = 2

In this equation, If we purchase 4 tickets, the balance of the bank account would be 2 dollars.

d = -10(2) + 42

d = -20 + 42

d = 22

In this equation, If we purchase 2 tickets, the balance of the bank account would be 22 dollars.

The histogram for the data-set in this problem is given by the image presented at the end of the answer.

The histogram of a data-set shows the number of times that each item was observed in the data-set.

For this problem, we have that:

Hence the histogram is given by the image at the end of the answer.

More can be learned about histograms at https://brainly.com/question/25983327

#SPJ1

Perimeter of a semi circle = ñr + d(2r),ñ=22/7,r=?, d=2r

54=22/7 × r +2r

54=3.142r +2r

54=5.142r

r=54/5.142

r=10.5

d=2r

d=2×10.5017

d=21.00cm

The required new average is 646-kilowatt hours per year,

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

here,
Last year, wind turbines along a hilly ridge had an average output of 340-kilowatt hours per year. The turbines were upgraded, and now their average annual output is 90% more.

So,
new average = 340 + 90% of 340
new average = 340 + 0.90 × 340
new average = 340 + 306 = 646 kilowatt hours per year,

Thus, the required new average is 646-kilowatt hours per year,

Learn more about percentages here:

brainly.com/question/13450942

#SPJ1

The  number of times you would expect to roll a 5 if you rolled a fair die 300 times is B. 50.

We should note that that a fair die has a  six sided cube and the number that is on the die faces start from 1 to 6 .

Since each of the die  faces consists of a probability of 1/6 now let find the number of times to roll a die.

Expected number of times = 300 × 1/6

Expected number of times = 50

Therefore we can conclude that the expected number of time to rolled the die is B. 50 times.

Learn more about number of time to rolled a fair die here:https://brainly.com/question/15021188

#SPJ1

A line of best fit can be described by the equation y=mx+b, where m denotes the slope and b the y-intercept. For a better understanding of the idea of approximating the equation of a line of best fit and making predictions, we will look at two examples that show a scatter plot with a line of best fit.

What is a line, exactly?

Having only length and no width, a line is a one-dimensional figure. A line is created from a collection of points that are endlessly stretched in the opposing directions.

                  A two-dimensional plane's two points serve as its determining factors. Collinear points are two points that are located on the same line.

What is the equation for a straight line?

. A straight line has the equation y=mx+c, where c is the height at which the line crosses the y-axis, also known as the y-intercept, and m is the gradient.

Learn more about line

brainly.com/question/30003330

#SPJ4

The end behavior of a graph with an odd degree and a positive leading coefficient is that the graph will tend to increase infinity as x approaches positive infinity and decrease to negative infinity as x approaches negative infinity.

This end behavior of a graph is due to the fact that when the degree is odd, the leading coefficient acts as a multiplier for the highest degree term, making its contribution to the graph’s y-value the largest and most dominant. For example, if the equation of the graph is y = 4x^3 + x^2 – 7x + 5, then the end behavior of the graph will be increasing to positive infinity as x approaches positive infinity and decreasing to negative infinity as x approaches negative infinity. To calculate this, we can use the equation y = 4x^3. When x = 1000, y = 4,000,000,000. As x increases, y will continue to increase to positive infinity. When x = -1000, y = -4,000,000,000. As x decreases, y will continue to decrease to negative infinity.

Learn more about end behavior of a graph here:

https://brainly.com/question/11808280

#SPJ4

Solving the provided question, we can say that the quadratic equation  2x³+4x2 + 7x + 5 is divided by (x+1) =  -2+4-7+5 = 0

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

the quadratic equation

2x³+4x2 + 7x + 5 is divided by (x+1)

which means X+1 is factor

so, x = -1

2x³+4x2 + 7x + 5  = -2+4-7+5 = 0

To know more about quadratic equation visit:

https://brainly.com/question/30098550

#SPJ1

The quadrant of the given point (2,3) is given A I ( that is first quadrant ).

As given in the question,

Given point is equal to :

Point ( 2, 3 )

Conditions of the quadrant in the coordinate plane is given by :

Let ( x ,y ) be the coordinates in the coordinate plane.

In the first quadrant :  ( x , y ) both x and y are positive.

In the second quadrant :  ( -x , y )  x is negative and y is positive.

In the third quadrant :  ( -x , -y ) x is negative and y is negative.

In the fourth quadrant :  ( x , -y )  x is positive and y is negative.

Here in the given point ( 2,3 ) both x and y are positive.

Given point lies in the first quadrant.

Therefore, the quadrant of the given point (2,3) is equal to A I ( that is first quadrant ).

Learn more about quadrant here

brainly.com/question/7196312

#SPJ4

Answer:

Skills Practice. Multiplying a Polynomial by a Monomial. Find each product. 1. a(4a + 3). 2. -c(11c + 4). 4a2 + 3a. -11c2 - 4c. 3. x(2x - 5). 4. 2y( y - 4).

Step-by-step explanation:

Answer:

I believe the answer is D

Answer:

  D.  (2x +1)(x -6)

Step-by-step explanation:

You want the expression that is equivalent to 2x² -11x -6.

There are a couple of ways to go at this. One way is to eliminate the answers that make no sense: A and C. We say these are nonsense because they have an overall factor of 2. The coefficient -11 is not a multiple of 2, so there cannot be such a factor.

If you were to examine the remaining choices (after eliminating A and C), you would find the x-term of the product to be ...

  B: 2x(-2) +3(x) = -4x +3x = -x

  D: 2x(-6) +1x = -12x +x = -11x . . . . . the expression we're looking for

If you were to factor this equation, you would look for factors of 2·(-6) = -12 that have a sum of -11. Of course, those are -12 and 1. This means we can rewrite the equation as ...

  2x² -11x -6 = 2x² -12x +x -6

  = 2x(x -6) +1(x -6) . . . . . . . factor by grouping (pairs of terms)

  = (2x +1)(x -6) . . . . . . . . . . matches choice D.

<95141404393>

On solving the provided question, we can say that the domain of the following data will be domains = [  (( 2.28 , 2.06) to ( 1.18 , 0.70) ] and  [  (( 9 , 11) to ( 11 , 17) ]

The domain of a function is the set of possible values that it can accept. The x-values of a function like f are represented by these integers (x). A function's domain is the set of possible values on which it can be used. This set is the value that the function returns after the insertion of the x value. Y = f is the definition of a function with x as the independent variable and y as the dependent variable (x). A value of x is said to be in a function's domain if it can be successfully utilised to produce a single value of y by using the value of x.

the domain of the following data will be

domains = [  (( 2.28 , 2.06) to ( 1.18 , 0.70) ]

domains = [  (( 9 , 11) to ( 11 , 17) ]

To know more about domain visit:

https://brainly.com/question/28135761

#SPJ1

A number's square root multiplied by another number's square root does not always equal the total of these two numbers' square roots.

A statistical method called the sum of squares (SS) is used in regression analysis to determine how well the data can fit the model and how dispersed the data are. Since it is determined by adding up the squared differences, the sum of squares is how it is calculated.

A sum's square is equal to the product of its summands' squares and its double products' sums of summands in twos.

So, it is not always true that the square root of a sum is equal to the sum of the square roots.

To know more about square roots refer to:

https://brainly.com/question/428672

#SPJ4

A number's square root multiplied by another number's square root does not always equal the total of these two numbers' square roots.

In regression analysis, the sum of squares (SS), a statistical technique, is used to assess how well the data fit the model and how distributed they are. The sum of squares is used to compute it as it is obtained by combining together the squared differences.

The product of a sum's square and its double products' sums of its summands in twos is known as the summands' square. Hence, the square root of such a sum is not necessarily equal to the total of the square roots.

To know more about square roots refer to:

brainly.com/question/428672

#SPJ4

Answer:

Step-by-step explanation:

divided by nine ;)

Double prime is called by different names as per the topics used in Mathematics :

Inches in length , second order derivative in differentiation, conjugate points, transformed coordinates etc.

As given in the question,

Therefore, the double prime is known by many names such as inches in length, second order derivative, conjugate points, transformed coordinates etc.

learn more about double prime here

brainly.com/question/20479551

#SPJ4

======================================================

Explanation:

You are correct in thinking you'll set two things equal to one another. This type of thing happens often in algebra. The question you probably have is: what two things do I set equal?

The key term is "isosceles" which tells us we have two non-parallel sides equal in this trapezoid. In other words, we ignore the parallel sides.

The non-parallel sides of a trapezoid are known as the legs.

The legs in this case are

Set those expressions equal to one another and solve for the variable y.

AB = CD

7y-4 = 8y-18

-4+18 = 8y-7y

14 = y

y = 14 is the final answer

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

Check:

Both legs AB and CD are 94 units long to confirm this trapezoid is indeed isosceles. The answer is confirmed.

Side note: as mentioned earlier, we completely ignore BC = 4y-6. It was probably put in there as a distraction.

The circumference of the jar is 56.57cm.

The radius of the jar is 9 cm.

A cylinder is a three-dimensional object. It is a prism with a circular base.

The curved surface area of a cylinder = 2πrh

Where:

1584 = 2 x 3.14 x 28 x r

r = 1584 / (2 x 3.14 x 28)

r = 9 cm

Circumference = 3.14 x diameter

diameter = 2 x radius

3.14 x 2 x 9 = 56.57cm

To learn more about cylinders, please check: https://brainly.com/question/16700714

#SPJ1

The quadratic equation has two solutions, x1 = 3.44 and x2 = 0.56

Quadratic equations are the ones with degree 2. The standard form of a quadratic equation with variable x is ax2 + bx + c = 0, where a ≠ 0. These equations can be solved by splitting the factorisation, completing the square, or by quadratic formula method.

2x²-8x+8 = -3

2x²-8x+8+3 = 0

2x²-8x+11=0

Using the quadratic formula

x = (- b ± √(b² - 4ac)) / 2a

where a = 2

b = -8

c = 11

x = (-(-8) ± √(11² - 4(2)(11))) / 2(2)

x = (8 ± √(121 - 88)) / 4

x = (8 ± √(33))/4

x 1 = (8 + √(33))/4

x1 = (8 + √(33))/4

x1 = (8 + 5.75)/4

x1 = 13.75 / 4

x1 = 3.44

x2 = (8 - √(33))/4

x2 = (8 - 5.75)/4

x2 = 2.25/4

x2 = 0.56

Learn more about quadratic equations here: https://brainly.com/question/1214333

#SPJ1

The mean of the given data set is 21.7 and the sample proportion of numbers less than the mean is 60%.

Consider the given data set (in the image attached to this answer). We have to find the mean of the data set is, and the sample proportion of numbers. We have been told that any non-integer answers should be entered as decimals, rounded to the tenth place. The means is the average of any data set.

Here, mean = (20.5 +24.2 +18.3 + 1.3 +27+25.5 +21+19.8+27.3+18·4 + 20.5+17-6 +25.5 +23.4 +20.2)/15

Mean = 325.5/15 =21.7

The sample proportion of numbers less than

Mean = 9/100 * 15 %

Answer: 21.7 60%

Learn more about Mean on

https://brainly.com/question/30112112?referrer=searchResults

#SPJ4

Answer:

0.011

Step-by-step explanation:

To convert a percentage into a decimal, simply divide by 100;

Some examples are:

1% = 0.01

5% = 0.05

10% = 0.1

50% = 0.5

N.B. finding a percentage of a number is multiplying by the decimal form, so, e.g. 1.1% of 1000 is:

1000 × 0.011 = 11

Answer:

0.011

Step-by-step explanation:

To convert a percentage to a decimal, you must divide the percentage by the number 100.

Therefore, 1.1% / 100 = 0.011.

(If the question was the other way around and you wanted to turn a decimal into a percentage. All you have to do is the opposite. When you have a decimal multiply it by 100 to get a percentage.)

Hope this helped you!

Answer:

4

Step-by-step explanation:

For this question, the x represent the question mark.

8 + (-4) = x

Since positive plus negative equals negative, we subtract.

8 - 4 = x

x = 4

Answer:

an average weight of 10student was calculated to be 75. later it was discovered thatone weight wss insread as 35 instead of 50k.g. calculate the correct average weight

Answer:

100 should be added as 8100 is square root of 90 ...

Answer: x ≤ 5

Step-by-step explanation:

x - 9  -->   x + (-9)

-9 + 5 = -4

Answer:16

Step-by-step explanation:

Breanna was biking at a constant rate of 14 miles per hour.

A rate can be defined as the speed at which something happens or changes or the amount or number of times it happens or changes in a particular period.

The formula that describes the relationship between distance (d), rate (r), and time (t) is d = rt.

Now, we will solve for r. From d = rt. Our r will equals to:

= d/t.

Now we compute the rate at which Breanna was biking.

= 84 miles/6 hours

= 14.

Read more about rate

brainly.com/question/25184007

#SPJ1

The value of the function (g - f)(x) = 6 - 4 + x² at x = 3 will be 11.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

f(x) = 4 - x² and g(x) = 6

The function (g - f)(x) will be given as,

(g - f)(x) = 6 - 4 + x²

(g - f)(x) = 2 + x²

The value of the function (g - f)(x) at x = 3 will be give as,

(g - f)(x) = 2 + (3)²

(g - f)(x) = 2 + 9

(g - f)(x) = 11

The value of the function (g - f)(x) = 6 - 4 + x² at x = 3 will be 11.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

The percent of the dresses that are for films set in the 1700s or during the civil war era is; 75%

Percentage is normally calculated by dividing the value by the total value, and then multiplying the result by 100. It is given by the expression; Percentage = (value / total value) * 100%

Now, we are told that;

Number of movie dresses kept = 240 dresses

Fraction used for  movies that take place in the 1700s = 3/5

Percentage used for movies in the civil war era = 15%

Thus;

Number of dresses in the 1700 = 3/5 * 240 = 144

Number of dresses for the civil era = 15% * 240 = 36

Thus;

Total for civil era and in the 1700s = 144 + 36 = 180

Thus;

Percentage for either period = 180/240 * 100% = 75%

Read more about percentage at; https://brainly.com/question/843074

#SPJ1