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3 years ago

The cost of a product has been increasing each year. The graph shows data about the product's cost over time.

Mathematics

1 answer:

AveGali [126]3 years ago

7 0

By the way the costs have been going up in a diagonal line, it would be reasonable to predict that it would cost $14 in year 10.

A.

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In the clip from the Simpsons, Ralph charges Bart twice the fair from Tucson to Flagstaff, minus 2/3 the fair from Albuquerque t

cluponka [151]

Answer:

$20.

Step-by-step explanation:

Given:

In the clip from the Simpsons, Ralph charges Bart twice the fair from Tucson to Flagstaff, minus 2/3 the fair from Albuquerque to El Paso.

It costs $40 to travel from Tucson to Flagstaff,

And $90 to travel from Albuquerque to El Paso.

Question asked:

How much does Bart need to pay ?

Solution:

Fair to travel from Tucson to Flagstaff = $40

Fair to travel from Albuquerque to El Paso = $90

<u>As Ralph charges Bart twice the fair from Tucson to Flagstaff, minus 2/3 the fair from Albuquerque to El Paso. </u>

$Bart\ need\ to\ pay=2 \times\$40 - \frac{2}{3} \times\$90\\ \\$

$=80-\frac{180}{3} \\ \\ =80-60\\ \\ =20$

Thus, Bart need to pay $20.

5 0

3 years ago

Let C be the positively oriented square with vertices (0,0), (1,0), (1,1), (0,1). Use Green's Theorem to evaluate the line integ

liq [111]

Answer:

1/2

Step-by-step explanation:

The interior of the square is the region D = { (x,y) : 0 ≤ x,y ≤1 }. We call L(x,y) = 7y²x, M(x,y) = 8x²y. Since C is positively oriented, Green Theorem states that

$\int\limits_C {L(x,y)} \, dx + {M(x,y)} \, dy = \int\limits^1_0\int\limits^1_0 {(Mx - Ly)} \, dxdy$

Lets calculate the partial derivates of M and L, Mx and Ly. They can be computed by taking the derivate of the respective value, treating the other variable as a constant.

Mx(x,y) = d/dx 8x²y = 16xy
Ly(x,y) = d/dy 7y²x = 14xy

Thus, Mx(x,y) - Ly(x,y) = 2xy, and therefore, the line ntegral is equal to the double integral

$\int\limits^1_0\int\limits^1_0 {2xy} \, dxdy$

We can compute the double integral by applying the Barrow's Rule, a primitive of 2xy under the variable x is x²y, thus the double integral can be computed as follows

$\int\limits^1_0\int\limits^1_0 {2xy} \, dxdy = \int\limits^1_0 {x^2y} |^1_0 \,dy = \int\limits^1_0 {y} \, dy = \frac{y^2}{2} \, |^1_0 = 1/2$

We conclude that the line integral is 1/2

4 0

2 years ago

Steve is making breakfast. The recipes call for 7/8 cup of milk for grits and 3/4 cups .for biscuits he only has 2 cups of milk.

Zanzabum

Answer: He does have enough.
Explanation: Simplifying 7/8 cups to fourths you get 1 3/4 cups of milk. If he has 2 cups of milk he still would have 1/4 cup left over of milk.

4 0

3 years ago

a) Read section 1.5 in the Yakir textbook. If you were a teacher and had 30 students in your class and wanted to know the class

OlgaM077 [116]

Answer:

Parameter

Step-by-step explanation:

Required

Parameter of Statistic

From the question, we understand that the teacher is to calculate the class average.

To calculate the class average, the teacher will use the mean function/formula, which is calculated as:

$Mean = \frac{\sum x}{n}$

Generally, mean is an example of a parameter.

<em>So, we can conclude that the teacher will use parameer</em>

7 0

3 years ago

(-1)3 exponet is 3 help me please i dont want to fail

Natali5045456 [20]

Answer:

-1

i do not remember how to solve this but i just answered a question that had this problem in it on my algebra test and that is the right answer

8 0

3 years ago