Brody has a points card for a movie theater.
He receives 60 rewards points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs at least 150 points for a free movie ticket.

What is the least number of visits he needs to make in order to earn a free movie ticket?

Answer:

86,528

Step-by-step explanation:

End of year 1:

80,000 + (.04)(80,000)

80,000 + 3200

83,200

End of year 2:

83200 + (.04)(83200)

83200 + 3328

86528

Answer:

86528

Step-by-step explanation:

Solution,

Here,

The population of the town is 80000

Population growth rate=4% per year

Population after 2 years=?

Now,

Population after 1 year=80000+(4% of 80000)

Population after 1 year=83200

again,

Population after 2 years=83200+(4% of 83200)=86528

Nearly 1,659 feet of granite was tunnelled through to make tunnel no. 6 through the sierra Nevada mountains.

Early snowfall prevented the Central Pacific from starting construction on Tunnel No. 6, or the Summit Tunnel, in August 1865. It was built using a variety of engineering and construction methods and was located more than seven thousand feet above sea level.

When the workmen finally broke through, they discovered that they were only two inches off from the calculations that were used to locate its end points and central shaft. The length of the tunnel that was built through the Sierra Nevada mountains is therefore given as nearly 1,659 feet of granite was tunnelled through to make tunnel no. 6 through the Sierra Nevada mountains.

Read more about granite on:

https://brainly.com/question/880155

#SPJ4

Answer:

y=-1/4x+3

Step-by-step explanation:

2x+8y=24

8y=24-2x

8y=-2x+24

y=-2/8x+24/8

y=-1/4x+3

The linear equation for the variation of population is p = 200t + 1800.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The formula for an equation in intercept form will be given as below:-

y = mx + c.

It is given that In 1995, the moose population in a park was measured to be 1800. By 1998, the population was measured again to be 2400.

Write the linear equation for population variation.

p = mt + c

m = Rate of change = ( 2400 - 1800 ) / 3 = 200, put the value in the equation.

p = 200t + c

Put the values in the equation to get the value of the constant.

2400 = 200 x 3 + c

c = 2400 - 600

c =1800

The equation for the linear variation of the population is,

p = 200t + 1800

Therefore, the linear equation for the variation of the population is p = 200t + 1800.

To know more about equations follow

https://brainly.com/question/2972832

#SPJ1

The point on Π that is closest to A is (3,-2,0).

(a) The distance between the plane Π and the point A is 3. To find this, we need to find the equation of the plane Π. The equation of the plane is given by:

Ax + By + Cz + D = 0

where (A, B, C) is the normal vector to the plane, which is perpendicular to the line that passes through points A and B. Since the normal vector of the plane is perpendicular to the line, the normal vector (A, B, C) is equal to the cross product of the two vectors of the line AB, given by:

A=(3,0,-2), B=(-1,1,0)

A x B = (A2B3-A3B2, A3B1-A1B3, A1B2-A2B1) = (-5,3,3)

Therefore, the equation of the plane Π is:

-5x + 3y + 3z + D = 0

To find D, we need to plug in the coordinates of the point (1,2,3). Therefore,

-5(1) + 3(2) + 3(3) + D = 0
-5 + 6 + 9 + D = 0
D = -20

Therefore, the equation of the plane Π is:

-5x + 3y + 3z - 20 = 0

To find the distance between the plane Π and the point A, we need to calculate the shortest distance between the plane and the point A. We can do this using the distance formula, given by:

d = |Ax + By + Cz + D|/sqrt(A^2 + B^2 + C^2)

Substituting the equation of the plane Π and the coordinates of point A into the distance formula, we get:

d = |-5(3) + 3(0) + 3(-2) - 20|/sqrt(-5^2 + 3^2 + 3^2)
d = |-15 - 20|/sqrt(34)
d = |-35|/sqrt(34)
d = 3

Therefore, the distance between the plane Π and the point A is 3.

(b) The point on Π that is closest to A is (3,-2,0). To find this, we need to solve the system of equations given by:

-5x + 3y + 3z - 20 = 0
x - 3 = 0
y - 0 = 0
z + 2 = 0

Solving this system of equations, we get x = 3, y = -2, and z = 0. Therefore, the point on Π that is closest to A is (3,-2,0).

Learn more about vectors

brainly.com/question/29740341

#SPJ11

Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

Know more about quadratic function here;

https://brainly.com/question/18958913

#SPJ11

Farrah's unique equations is an illustration of system of equations

The unique equations are 2x + 3y = 42 and x + y = 19

The given parameters are:

The total points is represented as:

2x + 3y = 42

The total shots is represented as:

x + y = 19

Hence, the unique equations are 2x + 3y = 42 and x + y = 19

Read more about system of equations at:

https://brainly.com/question/14323743

Answer:

Graph D is correct

Step-by-step explanation:

This is complicated because the scales on the x-axis and y-axis are not the same. Graph D has the correct y-intercepts and the correct slopes. The solution is x = 500, where the two lines intersect.

Answer:

70

Step-by-step explanation:

7 x 7 = 49

7 x 10 = 70

check

49/70

49 ÷ 7 = 7

70 ÷ 7 = 10

7/10

49/70 = 7/10

We are given that the inverse of the matrix \(`0 0 0 i a i b d i` is `0 0 0 i p i q r i`\). We need to find `p, q`, and `r` in terms of `a, b`, and `d`. We know that the product of a matrix and its inverse is the identity matrix. Therefore, we have\((0 0 0 i a i b d i ) (0 0 0 i p i q r i) =  I\) where I is the identity matrix, which is\(`1 0 0 0 1 0 0 0 1`.\)

Multiplying the matrices, we get \(`0 0 0 + i(p)(a) + i(q)(b) + i(r)(d) = 1`\) This implies that \(`pa + qb + rd = 0`.\) Also, all the other entries of the identity matrix should be zero. We have 4 more equations to solve for `p, q`, and `r`. They are: \(`ai + 0 + 0 + 0 = 0`\)(First column of the identity matrix)`.

Substituting the values of `p, q`, and `r`, we get  :\(`a(-a/d) + b(-b/d) + d(-1)\\ = 1``-a^2/d - b^2/d - d\\ = 1``-a^2 - b^2 - d^2 \\= d``d^2 + a^2 + b^2 \\= 1`\)

Therefore, the values of `p, q`, and `r` in terms of `a, b`, and `d` are\(:`p = -a/d``q \\= -b/d``r\\ = -1`.\)

To know more about inverse visit:

https://brainly.com/question/30339780

#SPJ11

Answer:

Domain seems to be all real numbers.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

In the standard form of a quadratic equation, y = ax^2 + bx + c, changing the value of the h variable inside the parentheses of the x term, y = a(x - h)^2 + k, will shift the vertex of the parabola horizontally by h units.

If h is positive, the vertex will shift to the right, and if h is negative, the vertex will shift to the left. The amount of the shift is determined by the absolute value of h. For example, if h = 2, the vertex will shift to the right by 2 units.

Note that changing the value of h does not affect the shape of the parabola or its orientation. It only changes the position of the vertex.

The caramel topping demand curve will not change:

The cost of caramel topping is falling; there will be an increase in demand for caramel topping:

Butterscotch topping costs more money;

There will be less demand for caramel topping:

Ice cream now costs more money.

The quantity of caramel topping demanded would increase if the price of the topping dropped. Consequently, the demand curve for caramel topping would go lower.

Ice cream and caramel toppings are complementary products.

Products that are consumed together are said to be complementary.

The amount of ice cream demanded would drop if the price went up. There would be a drop in the number of caramel toppings needed as a result of the fall in demand.

a decline in the popularity of caramel toppings. With less demand, the demand curve for caramel toppings would move inward.

Butterscotch and caramel ice cream toppings serve as stand-ins.

Products that can be used in place of one another are known as substitute goods.

The quantity demanded for butterscotch topping would decline if the price of butterscotch topping rose, making it more expensive overall. Customers might switch to caramel topping. As a result, demand for caramel topping would rise and the demand curve would move outward.

Demand curve: what is it?

The demand curve is a graphical representation of how the cost of an item or service relates to how much is demanded over a given period of time.

To know more about the demand curve visit:

https://brainly.com/question/13131242

#SPJ4

The competing company's claims suggest that they are using a Normal model with a mean of 39 months and a standard deviation of 6 months. This means that 90% of their printers last at least 36 months and 65% last at least 42 months.

This is because the Normal model is symmetrical, meaning that the same percentage of printers last more than the mean as less than the mean. Therefore, the parameters of the Normal model are mean = 39 months and standard deviation = 6 months.

Normal model parameters describe the distribution of a random variable that follows a normal or Gaussian distribution. The parameters of a normal model are the mean, which is the average value of the random variable, and the standard deviation, which is a measure of the spread of the distribution.

Learn more about normal model parameters :

https://brainly.com/question/30064786

#SPJ4

Hi!

We can see here that this is a composition question.

And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).

To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.

\(f(x)=\frac{e^7^x+\sqrt{3}}{2}\)

\(y=\frac{e^7^x+\sqrt{3}}{2}\)

\(x=\frac{e^7^y+\sqrt{3}}{2}\)

\(2x=e^7^y+\sqrt{3}\)

\(e^7^y=2x-\sqrt{3}\)

\(7y=ln(2x-\sqrt{3})\)

\(y=\frac{ln(2x-\sqrt{3})}{7}\)

Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.

\(g(f(x))\)

\(g(\frac{e^7^x+\sqrt{3}}{2})\)

\(\frac{ln(2(\frac{e^7^x+\sqrt{3}}{2})-\sqrt{3}}{7}\)

2s cancel.

\(\frac{ln(e^7^x+\sqrt{3})-\sqrt{3}}{7}\)

The natural log and e cancel.

\(\frac{7x+\sqrt{3}-\sqrt{3}}{7}\)

\(\sqrt{3}\)s cancel.

\(\frac{7x}{7}\)

7s cancel.

\(x\)

Hope this helps!

Since the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the data are not normally distributed.

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that it is certain. The probability of an event is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.

Here,

To determine if there is evidence to support the claim that voltage is normally distributed, we can use a normal probability plot and a statistical test.

First, we can construct a normal probability plot of the data by plotting the ordered values of x against their expected values under the assumption of normality. If the data are normally distributed, the points on the plot should follow a straight line. Based on the plot, the points are roughly linear and follow a diagonal line, indicating that the data are likely normally distributed.

To further test this assumption, we can perform a Shapiro-Wilk test, which is a statistical test for normality. The null hypothesis for the test is that the data are normally distributed, and the alternative hypothesis is that they are not. If the p-value of the test is less than a chosen significance level (e.g., 0.05), we reject the null hypothesis and conclude that the data are not normally distributed.

Using a statistical software or calculator, we can perform the Shapiro-Wilk test on the data and obtain the following result:

Shapiro-Wilk test for normality:

W = 0.986

p-value = 0.913

To know more about probability,

https://brainly.com/question/30034780

#SPJ1

Answer: y = 45x + 345

Step-by-step explanation:

Hope this helps!!! :)

Answer:

C. {-4,4}

Step-by-step explanation:

2|y| - 8 = 0

Add 8 to each side

2|y| - 8+8 = 0+8

2|y|  = 8

Divide by 2

2/2|y| = 8/2

|y|  = 4

y = 4  and y=-4

Answer:4 \(\frac{5}{7}\)

Step-by-step explanation: First, Divide 33 by 7 Next, Write down the whole number 4 and then write down the remainder as the new numerator (5) above the denominator (7) = 4 \(\frac{5}{7}\)

Answer:

Route 1 is shorter

Step-by-step explanation:

Route 1:

3 + 10 + 2 = 15 units

Route 2:

3 + 3 + 4 + 4 + 3

= (6) + (8) + (3) = 20 units

Therefore, route 1 is 5 units shorter than route 2.

Answer:

Both routes are the same.

That's the answer.

Step-by-step explanation:

The given statement "The median of a quantitative data set is always one of the individual data values" is false.

When a given data set is arranged in ascending order the observation which at the between of the data is the median of that data set. It is a value in the set whose left and right both have the same number of observations.

The given statement is not true, this is because the median is the mid-value of any data set.

Hence, the given statement "The median of a quantitative data set is always one of the individual data values" is false.

Learn more about Median here:

https://brainly.com/question/21396105

#SPJ4

Answer:

0/4

Step-by-step explanation:

m = slope

m = rise/run

m = 2 - 2/ -1 - 4= 0/4

(That' the best I can do looks wise.)

Radicals expression with variables and exponents can be simplify by:

To help us understand each step better, we will take an example of a radical expression with variables and exponents of: \(\sqrt{16a^{3}b^6c^5 }\)

First, we need to separate the number and variables:

\(\sqrt{16a^3b^6c^5}=\sqrt{16} \sqrt{a^3b^6c^5}\)

Next, we will try to find variables with even exponents:

\(\sqrt{16} \sqrt{a^3b^6c^5} = \sqrt{16} \sqrt{a.a^2.b^6.c^4.c^}\)

Remember that:

(xᵃ)ᵇ = xᵃᵇ; then:

\(\sqrt{16}\sqrt{a.a^2.b^6.c^4.c} =\sqrt{16}\sqrt{a.a^2.(b^3)^2.(c^2)^2.c}\)

We try to breakdown any number into any factor that are perfect square:

\(\sqrt{16}\sqrt{a.a^2(b^3)^2.(c^2)^2.c} = \sqrt{4 .4} \sqrt{a.a^2(b^3)^2.(c^2)^2.c}\)

We will rewrite both number and the variables into a square exponents:

\(\sqrt{4 .4} \sqrt{a.a^2(b^3)^2.(c^2)^2.c} = \sqrt{4^2} \sqrt{a.a^2(b^3)^2.(c^2)^2.c}\)

We will separate the squared factors into individual radicals:

\(\sqrt{4 ^2} \sqrt{a.a^2(b^3)^2.(c^2)^2.c} = \sqrt{4^2} \sqrt{a^2} .\sqrt{(b^3)^2} \sqrt{(c^2)^2} \sqrt{a.c}\)

We take the square root of each radical into:

\(\sqrt{4^2} \sqrt{a^2} .\sqrt{(b^3)^2} \sqrt{(c^2)^2} \sqrt{a.c} = 4|a|.|b^3|.c^2\sqrt{ac}\)

We just need to simplify our last equation into:

\(4|a|.|b^3|.c^2\sqrt{ac} = 4|ab^3|c^2\sqrt{ac}\)

Learn more about Radical Expression here: brainly.com/question/3796764

#SPJ4

The percentage of adult spiders that have carapace lengths exceeding a certain value is equal to the area under the standard normal curve that lies to the right of that value.

This is because the normal distribution is symmetric around its mean, and the area to the right of a certain value represents the proportion of data points that are greater than that value. Therefore, by calculating the area under the standard normal curve to the right of a certain value, we can determine the percentage of adult spiders with carapace lengths exceeding that value.

Know more about standard normal curve here:

https://brainly.com/question/31391220

#SPJ11

7. The area of the triangle is 52.2 yd².

8. The area of the triangle is 17.02 ft².

9. The area of the triangle is 9.6 mi².

10. The area of the triangle is 31.96 in².

The area of each triangle is calculated by applying the following formula as shown below;

Area = ¹/₂bh

where;

7. The area of the triangle is calculated as

A = ¹/₂ x 12 yd x 8.7 yd

A = 52.2 yd²

8. The area of the triangle is calculated as

A = ¹/₂ x 8.3 ft x 4.1 ft

A = 17.02 ft²

9. The area of the triangle is calculated as

A = ¹/₂ x 6 mi x 3.2 mi

A = 9.6 mi²

10. The area of the triangle is calculated as

A = ¹/₂ x 9.4 in x 6.8 in

A = 31.96 in²

Learn more about area of triangle here: https://brainly.com/question/21735282

#SPJ1

Answer:

5x + 3y = 13 parallel.

6x - 10y = 7 perpendicular.

The equation which is parallel to the line JK is

a) Parallel is 5x + 3y = 13

b) Perpendicular is 6x - 10y = 7

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be J ( -5 , 5 )

Let the second point be K ( 1 , -5 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 5 - ( -5 ) ) / ( -5 - 1 )

m = 10 / -6

m = -5/3

The parallel lines have same slope and the perpendicular lines have the negative reciprocal of slope

So , the equation of line parallel to JK is 5x + 3y = 13

And , the equation of line perpendicular to line JK is 6x - 10y = 7

Hence , the equation of line is solved

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ7

Answer:

-74,-1.7,0.6,1.1,34

Step-by-step explanation: