Find the volume of a cylinder whose base is aTrcle with a diameter of 18 inches

Sara needs to reduce the price by approximately 33.33% to provide the same value for money as Zak's idea.

To find the percentage by which Sara needs to reduce the price to provide the same value for money as Zak's idea, we need to compare the original price and the new price under Zak's idea.

Let's assume the original price of a box of pet food is P and the original amount of pet food in each box is A.

According to Zak's idea, the company will put 50% more pet food into each box without changing the price. Therefore, the new amount of pet food in each box will be 1.5A.

To calculate the value for money under Zak's idea, we divide the amount of pet food by the price:

Value for money (Zak's idea) = (1.5A) / P

Now, let's consider Sara's idea. She wants to reduce the price but keep the amount of pet food unchanged. Let's assume Sara reduces the price by a percentage represented by x.

Under Sara's idea, the new price of a box of pet food will be P - (x/100)P = P(1 - x/100).

Since Sara wants her idea to provide the same value for money as Zak's idea, we can equate the two value for money expressions:

(1.5A) / P = (A) / (P(1 - x/100))

Cross-multiplying and simplifying the equation:

1.5A * P(1 - x/100) = A * P

1.5(1 - x/100) = 1

Simplifying further:

1 - x/100 = 2/3

-x/100 = -1/3

x/100 = 1/3

x = 100/3

Therefore, Sara needs to reduce the price by approximately 33.33% to provide the same value for money as Zak's idea.

for more such question on money visit

https://brainly.com/question/24373500

#SPJ8

Answer:

98 degrees

Step-by-step explanation:

HJ = (5x - 7)

Because it's a full circle:

61 + 34 + (5x - 7) + (9x - 22) = 360

95 + (14x - 29) = 360

14x = 360 - 95 + 29 = 294

x = 21

HJ = 5x - 7 = 5 * 21 - 7 = 105 - 7 = 98

Answer:

v= -71.3 there you go hope this helps

Sales increased until 2000 and then generally decreased. Hence, option C is the most appropriate answer to this question.

From the given graph,

The 0 on the x-axis denotes the year 1997, the 1 on the x-axis denotes 1998, and so on.

We can clearly see that the graph is neither steadily increasing nor steadily decreasing. Hence, options A and B are ruled out.

Sales never remained steady from 1997 to 2009 since the graph showed upward and downward movements. Hence, option D is wrong.

We can see the Graph is moving up from 1997 to 2000 and then moving down from 2000 to 2009.

Thus, sales increased from 1997 to 2000 and decreased from 2000 to 2009, so we can say they generally decreased after 2000.

Hence, option C is the correct answer.

Read more about Data Interpretation:

brainly.com/question/29049045

#SPJ4

The complete question is -

Based on the graph, which of the following best describes the general trend in music album sales from 1997 through 2009?

A) Sales generally increased each year since 1997.

B) Sales generally decreased each year since 1997.

C) Sales increased until 2000 and then generally decreased.

D) Sales generally remained steady from 1997 through 2009.

Answer: x=70

Step-by-step explanation:

The number which is not the part of the solution set to the inequality below is 27.

Given inequality is,

w - 10 ≤ 16

WE have to find the solution for the inequality.

Adding both side of the inequality with 10,

w - 10 + 10 ≤ 16 + 10

w ≤ 26

So the solution of the inequality consists of all the points which are less than or equal to 26.

So it contains 11, 15 and 26.

It does not contain 27.

Hence the solution does not contain 27.

Learn more about Inequalities here :

https://brainly.com/question/30231190

#SPJ1

The statement "there exists x ∈ S ∖ m" means that there exists an element x that belongs to the set S but does not belong to the set m. In other words, x is an element that is present in S but is not present in m.

The phrase "m ⊊ m ∪ {x} ∈ X" states that the set m is a proper subset of the set m ∪ {x}, and this union belongs to the set X. This implies that the set m ∪ {x} contains all the elements of m along with the additional element x.

The phrase "a contradiction" indicates that the statement or assumption being made leads to a logical inconsistency or contradiction. In this context, the contradiction arises from the fact that the assumption that x is not in m contradicts the statement that m ∪ {x} is a proper superset of m.

Overall, the given statement implies that the existence of an element x in S, which is not in m, leads to a contradiction when considering the relationship between m and m ∪ {x}.

For such more question on contradiction

https://brainly.com/question/30459584

#SPJ8

The beginning of the day is represented, on the left side of the graph. And the end of the day on the right side.

So, from the graph, we see that the number of customers increases then decreases, then remains constant during the first half of the day.

Then, it rapidly increases to its maximum value, remains constant, and then rapidly decreases in the second half of the day.

Notice that the last option says the number of customers increases and then remains constant. Since it decreases before remaining constant, the last option is incorrect.

Also, the second and third options say the number of customers increases to its maximum in the first half of the day. So, they are also incorrect.

Therefore, the only option that is a possible interpretation of the graph is the first option.

The point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0.

To graph the equation 2x + 3y = 6, we can rewrite it in the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.

Starting with the given equation, we isolate y to one side:

3y = -2x + 6

y = (-2/3)x + 2

Now, we have the equation in slope-intercept form, y = (-2/3)x + 2. The slope is -2/3, and the y-intercept is (0, 2).

To find the point where the graph intersects the x-axis, we need to determine the coordinates where y is equal to zero. This occurs when the line crosses the x-axis.

Setting y = 0 in the equation, we have:

0 = (-2/3)x + 2

(-2/3)x = -2

x = (-2)(-3/2) = 3

Therefore, the point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0, indicating the point of intersection with the x-axis on the graph.

To more on Graph:
https://brainly.com/question/19040584
#SPJ8

Answer:

3y+8x

Step-by-step explanation:

To solve this problem we first have to add similar terms

Adding like terms:

So let us add up the sides that have the same variable. Let us solve for the variable y first ->

\(4+y+2y-2\\\\(y+2y)+(4-2)\\\\3y+2\)

Now we have the simplified form of the y. Now let us solve for x ->

\(6x+2+2x-4\\\\(6x + 2x) + (2 - 4)\\\\8x - 2\)

Combine both expressions:

To combine these expressions we add the constants and leave the variables. (We do this because different variables cannot be added together)

\(8x - 2 +3y +2\\\\8x + 3y + (-2 + 2)\\\\8x+3y+0\\\\8x+3y\)

So 3y + 8x is the asnwer

Answer:

The question is not complete

its 2...

20 leterssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

First, isolate y from the equation of the boundary line:

Notice that the shaded region corresponds to the points that satisfy that the y coordinate is lower than the value of the expression -5-x.

Therefore, the inequality that represents the region in the graph, is:

Answer:

a or 1. $40,000 is the down payment

b or 2. 180 months = 15 years

c or 3. $168,400 is the left over payment (including mortgage)

d or 4. $935.56 (the monthly payment)

Step-by-step explanation:

1. To calculate the down payment, we need to calculate 20% of $200,000.

200,000 x 0.20  = $40,000

Therefore, the down payment on the home costs $40,000.

2. Now, let's figure out how many months are in 15 years.

15 x 12 = 180

So, the mortgage will be paid in 180 months.

3. Next, we need to find out how much money needs to be paid in the 15 years.

200,000 - 40,000 = $160,000

This price will also include an annual interest rate of 5.25%. So, we need to find 5.25% of $160,000.

160,000 x 0.0525 = $8,400 <--- interest rate when rounded to the nearest cent.

160,000 + 8,400 = $168,400 <--- total amount over 15 years

4. To find the monthly payment, we must divide the total amount of money ( or  $168,400), by the number of months, (or 180.)

$168,400 ÷ 180 = $935.56 when rounded to the nearest cent.

Hope this helps! :)

\(g(x)=a\cdot b^x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{we know that}}{(\stackrel{x}{0}~~,~~\stackrel{g(x)}{12})}\implies 12=a\cdot b^0\implies 12=a\cdot 1\implies 12=a~\hfill \underline{g(x)=12b^x} \\\\\\ \stackrel{\textit{we also know that}}{(\stackrel{x}{1}~~,~~\stackrel{g(x)}{9})}\implies 9=12b^1\implies \cfrac{9}{12}=b\implies \cfrac{3}{4}=b~\hfill \underline{g(x)=12\left( \frac{3}{4} \right)^x}\)

Answer:

After finding like terms and solving, we get \(\mathbf{3x^2+3x+16}\)

Step-by-step explanation:

We need to find like terms and simplify the expression \(4- 2x + x^2 + 5x + 12 + 2x^2\)

Like terms: The terms who have same variable and exponent are called like terms.

So, Combining like terms and solving:

\(4- 2x + x^2 + 5x + 12 + 2x^2\\=4+12-2x+5x+x^2+2x^2\\Now \ solving:\\=16+3x+3x^2\\Rearranging \ the \ terms:\\=3x^2+3x+16\)

So, after finding like terms and solving, we get \(\mathbf{3x^2+3x+16}\)

Note: In the question given we have - and + sign with the term 5x i.e 4- 2x + x^2 -+ 5x + 12 + 2x^2

I have solved using +5x, but if the term is -5x then the solution will be:

\(4- 2x + x^2 - 5x + 12 + 2x^2\\=4+12-2x-5x+x^2+2x^2\\Now \ solving:\\=16-7x+3x^2\\Rearranging \ the \ terms:\\=3x^2-7x+16\)

So, the answer will be: \(\mathbf{3x^2-7x+16}\)

"Distance traveled is a function of time." In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.

Distance is a fundamental concept in physics and mathematics that measures the extent or length between two points.

It represents the amount of ground covered or space traveled. When we say that distance is a function of various factors, it means that different variables or parameters can influence the distance traveled.

In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.

The sentence "Distance traveled is a function of time" expresses this relationship, indicating that the distance traveled can be determined or calculated based on the value of time.

Thus, it implies that as time changes, the corresponding distance traveled also changes, establishing a functional relationship between the two variables.

For more details regarding distance, visit:

https://brainly.com/question/13034462

#SPJ1

Answer:

y= -7

Step-by-step explanation:

This line is a horizontal line.

Horizontal lines all have the same form of y=k (where k is the y-intercept of the horizontal line).

The y-intercept is the point where the line meets the y-axis (the vertical axis). For this line, the y-intercept is in between -6 and -8, making it: (0,-7) or just -7.

Let's return to the form for horizontal lines.

y= k

The y-intercept is -7. Substitute -7 in for k.

y= -7

The equation of the line is y= -7

Answer:

x = -3 + 2 i or x = -3 - 2 i

Step-by-step explanation:

Solve for x:

x^2 + 6 x + 13 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 13 from both sides:

x^2 + 6 x = -13

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 9 to both sides:

x^2 + 6 x + 9 = -4

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x + 3)^2 = -4

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x + 3 = 2 i or x + 3 = -2 i

Hint: | Look at the first equation: Solve for x.

Subtract 3 from both sides:

x = -3 + 2 i or x + 3 = -2 i

Hint: | Look at the second equation: Solve for x.

Subtract 3 from both sides:

Answer: x = -3 + 2 i or x = -3 - 2 i

Answer:

The answer would be 6y - 10x

Step-by-step explanation:

It was pretty easy!!!!!

Answer:

The answer would be 6y - 10x

Step-by-step explanation:

Answer:

i think its 3

Step-by-step explanation:

thats the only one where the reflection is on the correct axis

Answer:

the slope intercept form is   y = (1/2)x - 1

Step-by-step explanation:

The slope-intercept form is, y = mx + b

We see from looking at the graph that,

at x = 0, y = -1

So, from this we find that b = -1

at x = 2, y = 0,

now, we find the slope m,

using,

\(m = \frac{y_{2} -y_1}{x_2-x_1}\)

Using x_2 = 2, y_2 = 0,

x_1 = 0, y_1 = -1, we get,

m = (0-(-1))/(2-0)

m = 1/2

So, the slope intercept form is,

y = (1/2)x - 1

Answer:

your answer is 70.

Step-by-step explanation:

mean=Efx/n=1050/15=70

The slope of the curve  y⁴ = y² - x² is 1 and repeat the process for the second point.

Find the slopes of the curve y⁴ = y² - x² at the given points, we need to differentiate the equation implicitly with respect to x.
Differentiating both sides of the equation with respect to x, we get:
4y³ * (dy/dx) = 2y * (dy/dx) - 2x
Next, we can solve for (dy/dx) by isolating it on one side of the equation:
4y³ * (dy/dx) - 2y * (dy/dx) = -2x
(2y - 4y³) * (dy/dx) = -2x
(dy/dx) = -2x / (2y - 4y³)
Now, substitute the x and y values for each point into the equation to find the slopes at those points.
For example, if one point is (1, 1), we substitute x = 1 and y = 1 into the equation:
(dy/dx) = -2(1) / (2(1) - 4(1)³)
(dy/dx) = -2 / (2 - 4)
(dy/dx) = -2 / -2
(dy/dx) = 1
Repeat the process for the second point, and you will have the slopes of the curve at both points.

For more such questions on slope  visit:

https://brainly.com/question/16949303

#SPJ8

The value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.

Arithmetic mean is the mean or average which is equal to the ratio of sum of all the group numbers to the total numbers.  

The two arithmetic means between 3 and 24 are has to be inserted.

3, A₂, A₃, 24

All the four numbers are in arithmetic progression. The nth terms of AM can be found using the following formula:

t(n)=a(n-1)d

Here, d is the common difference a is the first terms and n is the total term.  The first term, a=3 and t₄=24. Thus, the common difference is;

\(t(n)=a(n-1)d\\t(4)=3(4-1)d\\24=3(3)d\\24=9d\\d=\dfrac{24}{9}\)

The second and 3rd term are:

\(A₂=3+\dfrac{24}{9}=\dfrac{51}{9}\\ A₃=\dfrac{51}{9}+\dfrac{24}{9}=\dfrac{75}{9}\)

Thus, the value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.

Learn more about the arithmetic mean here;

https://brainly.com/question/14831274

#SPJ1

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

To learn more about Fraction here,

https://brainly.com/question/10354322