The Robot Factory is a learning center where children can build robots. The project fee per visit is $18, and each hour of time (x) at the factory costs $6. Jesse goes to the Robot Factory one afternoon, and the total charge for his visit is $33. Write and solve and equation to find the number of hours Jesse spent at the Robot Factory.

Answer:

88 people

Step-by-step explanation:

Start with the equation of

\(3,000\geq 33x+80\)

subtract 80

\(3.000\geq 33x\)

then divide by 33

\(88.48\geq x\)

round down

\(x=88\)

Translation of y=2/x that has the given asymptotes. x=-2 and y=3 will be y = 2 / (x+2) + 3

An asymptote is a line that a graph of a curve continuously approaches but never crosses. Discover the meaning of asymptotes, read a detailed explanation, and learn about the three different asymptotes: vertical, horizontal, and oblique.

The asymptote(s) of a curve may often be found by looking at the limit of a value when the function is not defined. These points include and the point where the numerator of a rational function equals zero, as well as others.

As, x=-2, the vertical asymptote will be (x+2)

y=3, the horizontal asymptote will be 3.

The equation will be -

y = 2 / (x+2) + 3

To learn more about Asymptotes from given link

https://brainly.com/question/4138300

#SPJ4

Options:

A. Segment EF is twice as long as segment AB.

B. Segment CD is twice as long as segment FG.

C. The measure of angle HEF is twice the measure of angle DAB.

D. The length of segment EH is 16 units.

E. The measure of angle BCD is the same as the measure of angle GFE.

Answer:

A. Segment EF is twice as long as segment AB.

D. The length of segment EH is 16 units.

Step-by-step explanation:

First, let's find out the scale factor that was used in creating quadrilateral EFGH.

Scale factor = ratio of their corresponding segment length.

Segment GH corresponds with segment CD.

Scale factor = GH/CD = 12/6 = 2.

This means all segments that make up quadrilateral ABCD were increased proportionally to give corresponding segment lengths that make up quadrilateral EFGH.

The size of ABCD would increase, while the shape remains the same. This implies that, the measures of corresponding angles are the same, i.e. m<C = m<G.

The following statements are therefore true:

A. Segment EF is twice as long as segment AB.

AB corresponds to EF. Therefore, AB*scale factor = length of EF

AB*2 = EF

EF is twice the length of AB.

D. The length of segment EH is 16 units.

AD corresponds to EH.

AD*scale factor = length of EH

AD*2 = EH

Given that AD = 8, therefore:

8*2 = EH

16 = EH

EH = 16 units

The calculated area of the cross-section is 14 square inches

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

The prism (see attachment 1)

When a vertical plane intersects the vertex and the shorter edge of the base, the shape formed is a triangle with the following dimensions

Base = 7 inches

Height = 4 inches

See attachment 2

So, we have

Area = 1/2 * 7 * 4

Evaluate

Area = 14

Hence, the area of the cross-section is 14 square inches

Read more about cross-section at

https://brainly.com/question/1002860

#SPJ1

After solving the given equation, the value of variable x is 7/2 so x+5 is not the factor of given equation.

Equation: f(x)=x3-4x*2+3x+7

Here we have equation or algebric expression to solve to check whether the given condition is correct or not.

Give:

x3-4*2+3x+7= 0

Multiply the monomials

3x- 8x+3x+7= 0

Combine like terms

-2x+7= 0

Rearrange variables to the left side of the equation

-2x= -7

Divide both sides of the equation by the coefficient of variable

x= \(-7/-2\)

Determine the sign for multiplication or division

x= \(7/2\)

The value of x is  \(7/2\).

So x+5 is not a factor of f(x)=x3-4x*2+3x+7.

To know more about monomials visit:

https://brainly.com/question/1983426

#SPJ1

Yes, there is a correlation between the number of hours per week a student works outside of school and how many units the student takes in a quarter.

The cluster sample of 482 students is chosen in order to examine the relationship between these two variables. The statistical relationship between two variables is known as correlation.

The correlation coefficient r is used to determine the degree and direction of the correlation between two variables. The correlation coefficient is a numerical value that ranges from -1 to +1.

A negative correlation exists when one variable decreases as the other variable increases. A positive correlation exists when both variables increase or decrease together.

In this case, if the number of hours per week a student works outside of school increases, the number of units the student takes in a quarter may decrease, indicating a negative correlation between the two variables. Similarly, if the number of hours per week a student works outside of school decreases, the number of units the student takes in a quarter may increase, indicating a positive correlation between the two variables.

Know more about correlation here:

https://brainly.com/question/13879362

#SPJ11

The graph that gives the best representation of the scenario is: option 1 (A).

The first graph is the correct one that best represents the scenario because it starts at the point of origin (0, 0), which means the bird covers not distance at zero time when it is still at its nest.

As the bird flies, distance increases with time till it stopped at a point to eat.. This is represented by horizontal line, meaning time increased but distance from the nest remains the same.

The upward slope from the spot represents the further distance the bird is flying in search for more food.

Therefore, the graph that gives the best representation of the scenario is: option 1 (A).

Learn more about distance vs time graph on:

https://brainly.com/question/18655388

Answer:

X=-2

Step-by-step explanation:

equation a)

-y=42+18x

equation b)

y= (-43x+34)/20

Solution

42+18x= (-43x+34)/20

20(42+18x)=-43x+34

840+360x = -43x+34

360x+43x=34-840

403x= -806

x= -(806/403)

x= -(2)

x= -2

Answer:

Step-by-step explanation:

83% of 408:

83/100 x 408 = 338.64 pounds

41% of 53 :

41/100 x 53 = 0.41 x 53 = 21.73 kg

97% of 345m:

0.97 x 345 = 334.65

please mark brainiest

83% of 408 pounds is 338.64 pounds,41% of 53 kg is 21.73kg, 97% of 345 m is 334.65m

percentage, a relative value indicating hundredth parts of any quantity.

We need to find

a)83% of 408 pounds

Firstly we need to convert 83% to decimal by dividing with 100.

83/100=0.83

Now multiply 0.83 with 408

0.83×408=338.64

b)41% of 53 kg

Firstly we need to convert 83% to decimal by dividing with 100.

41/100=0.41

Now multiply 0.41 with 53

0.41×53=21.73

c)97% of 345m

Firstly we need to convert 97% to decimal by dividing with 100.

97/100=0.97

Now multiply 0.97 with 345

0.97×345=334.65m

Hence 83% of 408 pounds is 338.64 pounds,41% of 53 kg is 21.73kg, 97% of 345 m is 334.65m

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

Answer:

Step-by-step explanation:

At the flower store they told her that the vase should be filled 2/3 for the flowers to last the longest. Her cylinder vase has a radius of 3in and a height of 8in. How much water should Mary pour into the vase? Follow • ... Get the right answer, fast. ... No packages or subscriptions, pay only for the time you need.

Answer:

1: 1.5

Step-by-step explanation:

18 : 27

Divide each side by 18

18/18 : 27/18

1: 1.5

Answer:

3

Step-by-step explanation:

I just answered that one on a quiz

The mean is calculated by summing up all the values in the distribution and dividing it by the total number of values, while the median is the middle value when the data is arranged in ascending or descending order.

Another difference is that the mean is affected by outliers, meaning that extreme values can greatly influence its value. On the other hand, the median is not affected by outliers, as it only depends on the position of the middle value.

Therefore, to summarize, the mean is influenced by all values in the distribution and is affected by outliers, while the median is only influenced by the middle value and is not affected by outliers.

Read more about Mean at https://brainly.com/question/31101410

#SPJ11

Answer:

wrong - $32.547

right - $325.47

Step-by-step explanation:

Basically, if the number in the tens place (145) is 5 or higher the nearest would be the next ten or hundred up, if lower than 5 it goes back down.

Rounding cents is basically the same. as rounding Example:

$14.345

(This is not a vaild amount of money because once you reach a hundred cents you have another dollar. So you will move the decimal point over to the left.)

$143.45

More examples:

incorrect - $23.8678

correct - $2386.78

incorrect - $89.264

correct - $892.64

Rounding is something like rounding to the nearest ten or hundred here's an example:

14 to the nearest ten is 10

16 to the nearest ten is 20

284 to the nearest hundred is 300

104 to the nearest hundred is 100

(Hope this helps. Sorry if this confused you further)

Answer:

6x2 + 16x = 672

Reorder the terms:

16x + 16x2 = 672

Solving

16x + 16x2 = 672

Solving for variable 'x'.

Reorder the terms:

-672 + 16x + 16x2 = 672 + -672

Combine like terms: 672 + -672 = 0

-672 + 16x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.

16(-42 + x + x2) = 0

Factor a trinomial.

16((-7 + -1x)(6 + -1x)) = 0

Ignore the factor 16.

Subproblem 1

Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying

-7 + -1x = 0

Solving

-7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0

0 + -1x = 0 + 7

-1x = 0 + 7

Combine like terms: 0 + 7 = 7

-1x = 7

Divide each side by '-1'.

x = -7

Simplifying

x = -7

Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying

6 + -1x = 0

Solving

6 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0

0 + -1x = 0 + -6

-1x = 0 + -6

Combine like terms: 0 + -6 = -6

-1x = -6

Divide each side by '-1'.

x = 6

Simplifying

x = 6

Solution

x = {-7, 6}

Step-by-step explanation:

The given quadratic function models the projectile of the object as it is

launched off the top of the building.

The interpretation of the function values are;

The appropriate domain is 0 ≤ x ≤ 7

Reasons:

The given function for the height of the object is f(x) = -16·x² + 16·x + 672

The domain is given by the values of x for which the value of y ≥ 0

Therefore, when -16·x² + 16·x + 672 = 0, we get;

-16·x² + 16·x + 672 = 0

16·(-x² + x + 42) = 0

-x² + x + 42 = 0

x² - x - 42 = 0

(x - 7)·(x + 6) = 0

x = 7, or x = -6

The minimum value of time, x is 0, which is the x-value at the top of the

building, and when x = 7, the object is on the ground.

Therefore;

The maximum value of f(x) = a·x² + b·x + c, is given at \(x = -\dfrac{b}{2 \cdot a}\)

Therefore;

We have;

\(x = -\dfrac{16}{2 \times (-16)} = \dfrac{1}{2}\)

Which gives;

\(f \left(\frac{1}{2} \right) = -16 \times \left(\dfrac{1}{2} \right)^2 + 16 \times \left(\dfrac{1}{2} \right)+ 672 = 676\)

The height of the building is given when the time, x = 0, as follows;

Height of building, f(0) = -16 × 0² + 16 × 0 + 672 = 672

Learn more here;

https://brainly.com/question/10837575

Answer: 56.6

Step-by-step explanation:

You find the volume by V=1/3hπr² , it becomes 56.55 . you round that to the nearest ten then it leads you to 56.6

Answer:

c = \(\frac{1}{4}\)

Step-by-step explanation:

using the rules of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m + n)}\)

\(a^{-m}\) = \(\frac{1}{a^{m} }\)

then

\(2^{-4}\) × 2² = \(2^{(-4+2)}\) = \(2^{-2}\) = \(\frac{1}{2^{2} }\) = \(\frac{1}{4}\) = c

Erika has 6.53 kilograms of apples, which is more than the 6 kilograms she needed for the recipe. Therefore, she has enough apples to make the recipe.

To determine if Erika has at least 6 kilograms of apples, we need to add the weight of all three bags of apples. The total weight of the apples is:

2.56 kg + 1.18 kg + 2.79 kg = 6.53 kg

Erika needs a certain amount of apples for a recipe, specifically 6 kilograms. She goes to the store and picks three different bags of apples - a 2.56-kilogram bag of red apples, a 1.18-kilogram bag of green apples, and a 2.79-kilogram bag of yellow apples. To determine if she has enough apples, she needs to add the weight of all three bags. The total weight of the apples comes out to be 6.53 kilograms. This means that Erika has more than the required 6 kilograms of apples and is sufficient to make the recipe. It's important to note that Erika has an excess of apples, which can be helpful in case she needs extra for the recipe or for future use. The combination of different types of apples can also add variety and flavor to the recipe.

Learn more about mathematics here: brainly.com/question/24600056

#SPJ4

Answer:

-8

Step-by-step explanation:

since x=1 its just really 6/6=1 so you do -48/6 and you get negative 8 because a negative divided by a positive is a negative.

The spot exchange rate that should prevail three years from now, considering the expected inflation rates, is €1.00 - $1.2379.

To determine the spot exchange rate three years in the future, we need to account for the inflation rates in both the U.S. and the euro zone. Inflation erodes the purchasing power of a currency over time. Given that the U.S. is expected to have an inflation rate of 2 percent and the euro zone is expected to have an inflation rate of 3 percent, the euro is likely to depreciate relative to the U.S. dollar.

The inflation differential between the two regions implies that the euro will experience higher inflation compared to the U.S. dollar. As a result, the purchasing power of the euro will decline, leading to a decrease in its value relative to the U.S. dollar. Consequently, the spot exchange rate of €1.00 - $1.25 is expected to change in favor of the U.S. dollar.

To calculate the future spot exchange rate, we can multiply the current exchange rate by the ratio of the expected purchasing power parity (PPP) values of the two currencies after accounting for inflation. Considering the inflation rates, the future spot exchange rate is €1.00 - $1.2379, indicating a decrease in the value of the euro against the U.S. dollar.

Learn more about rate here:

https://brainly.com/question/9679262

#SPJ11

The answer is True. The simplex method is an algorithm used to solve linear programming problems. It is an iterative process that identifies the optimal solution by moving along the vertices of the feasible region, which is defined by the constraint equations in the problem.


The simplex LP solving method is a popular algorithm used to solve linear programming problems. It uses a geometric progression approach to find the optimal solution by iteratively moving from one vertex of the feasible region to another until the optimal vertex is reached. This involves analyzing the objective function and constraints to determine the direction of movement towards the optimal solution. Therefore, it can be said that the simplex LP solving method uses geometric progression to solve problems.

In contrast, geometric progression is a sequence of numbers where each term is found by multiplying the previous term by a fixed, non-zero number called the common ratio. It is not directly related to the simplex method or linear programming.

To know more about algorithm visit:-

https://brainly.com/question/25395113

#SPJ11

Answer:

y = x + 2

Step-by-step explanation:

Step 1: Find the slope

\(m=\frac{y2-y1}{x2-x1} = \frac{6-1}{4-(-1)}=\frac{6}{6} =1\)

Step 2: Substitute the slope and a point in to find y intercept

(6)=(1)(4)+b

6 = 4 + b

b = 2

Step 3: Substitute all the information in

y = x + 2

Therefore the equation for a line that passes through (4,6) and (-1,1) is y = x + 2

The algae bloom that is covered a larger area when the chemicals were applied is the red arrow.

The algae population that is decreasing more rapidly is the blue dot.

A population in statistics is a group of comparable objects or occurrences that are relevant to a particular topic or experiment.

A statistical population can be a collection of real things or a hypothetical, possibly limitless collection of objects derived from experience.

It should be noted that the red arrow represents a larger area that is covered by algae.

Learn more about population on;

https://brainly.com/question/25630111

#SPJ1

Answer: So if C is equal to the total cost and J to the number of bottles, 8 j would equal 31.36 c.

Answer:

8.5 cups per day

Step-by-step explanation: The answer is very simple. 85/10 equals 8.5 cups per day! Good Luck! Stay Brainy!

The result is not statistically significant.

To test the hypothesis is the mean SAT score is less than 1520 at 5% significance level.

The null hypothesis is

H₀ : μ ≥ 1520

The alternative hypothesis is

Hₐ : μ ≤ 1520

then the test statistic is,

t = (x - μ)/(s/√n)

 = (1501 - 1520)/(53/√20)

t = - 1.603

The t-test statistic is - 1.603.

Degree of freedom n - 1 = 20 - 1 = 19

Hence the t-critical value is -1.792.

The conclusion is that the t value corresponds to sample statistics is not fall in the critical region, so the null hypothesis is not rejected at 5% level of significance. There is insignificance evidence indicates that the mean SAT score is less than 1520.

The result is not statistically significant.

To know more about mean score here

https://brainly.com/question/16907497

#SPJ4

The speed of Neegan paddles in still water will be 6 miles/Hr, while the rate of the current will be 1 mile/Hr.

Neegan paddles a kayak 21 miles upstream in 4.2 hours.

As he is moving in Upstream, so during returning the flow will be downstream

Downstream refers to the direction of the flow's termination, which is at the other end of the canal from the source. You are travelling upstream, for instance, if you are sailing from Kingston to Toronto. You are travelling downstream if you are moving from Kingston to Cornwall.

Let the speed of Neegan paddles in still water = x miles/Hr.

Let the rate of the current be = y miles/Hr.

As Speed = Distance/Time

So, for Upstream speed, Speed will be = x-y

For downstream, the speed will be = x+y

From question,

(x-y) = 21/4.2 = 5-----(i)

(x+y)= 21/3 = 7 -----(ii)

Solving (i) and (ii)

2x = 12

=> x = 6

So, the value of y (From (i), will be = (x-5) = 6-5 = 1

For more questions on Speed of Boat

https://brainly.com/question/26954668

#SPJ4

Answer: x = \(\frac{ \sqrt{7}-5}{2}\)

              x = \(\frac{ -\sqrt{7}-5}{2}\)

Step-by-step explanation:

\((2x + 5)^{2} - 7 = 0\)

Add 7 to both sides of the equation.

\((2x + 5)^{2} - 7 + 7= 0 + 7\)

Subtracting 7 from itself leaves 0.

\((2x + 5)x^{2} =7\)

Take the square root of both sides of the equation.

\(2x + 5 = \sqrt{7} \\2x + 5 = -\sqrt{7}\)

Subtract 5 from both sides of the equation.

\(2x + 5 - 5 = \sqrt{7} - 5 \\2x + 5 - 5 = - \sqrt{7} - 5\)

Subtracting 5 from itself leaves 0.

\(2x = \sqrt{7} - 5 \\2x = - \sqrt{7} - 5\)

Subtract 5 from \(\sqrt{7}\).

\(2x = \sqrt{7} - 5\)

Subtract 5 from \(-\sqrt{7}\).

\(2x = -\sqrt{7} - 5\)

Divide both sides by 2.

\(\frac{2x}{2} =\frac{ \sqrt{7}-5}{2} \\\frac{2x}{2} =\frac{- \sqrt{7}-5}{2}\)

Dividing by 2 undoes the multiplication by 2.

\(x=\frac{ \sqrt{7}-5}{2}\\x=\frac{ -\sqrt{7}-5}{2}\)

The required answer is considering both the EAC and P.W., it is recommended to replace the old equipment with the new equipment.

Given that:

For the old equipment:

Cost = $500,000

Annual Operating Cost = $58,000

Salvage Value = $20,000

Life = 8 years

For the new equipment:

Cost = $600,000

Annual Operating Cost = $15,000

Salvage Value = $150,000

Life = 10 years

To determine whether to replace the old equipment, we can compare the Equivalent Annual Cost (EAC) and Present Worth (P.W.) of both options.

Calculate the EAC and P.W. for both options and compare them.

Calculate EAC:

EAC = Cost + Annual Operating Cost - Salvage Value / Life

For the old equipment:

EAC (old) = $500,000 + $58,000 - $20,000 / 8

EAC (old) = $63,500

For the new equipment:

EAC (new) = $600,000 + $15,000 - $150,000 / 10

EAC (new) = $48,500

Calculate P.W. at MARR (Minimum Attractive Rate of Return) of 10%:

P.W. = -Cost + Annual Operating Cost - Salvage Value / (1+MARR)^Life

For the old equipment:

P.W. (old) = -$500,000 + $58,000 - $20,000 / (1+0.10)^8

P.W. (old) = $157,273.22

For the new equipment:

P.W. (new) = -$600,000 + $15,000 - $150,000 / (1+0.10)^10

P.W. (new) = $167,777.05

Based on the calculations, the EAC for the new equipment is lower than the EAC for the old equipment. Additionally, the P.W. for the new equipment is slightly higher than the P.W. for the old equipment.

Therefore, considering both the EAC and P.W., it is recommended to replace the old equipment with the new equipment.

Learn more about capital budgeting techniques, click here:

https://brainly.com/question/14496517

#SPJ4