Sam has a cylindrical storage container 6 inches tall (h=6) with a
radius of 5 inches(r=5). How much cat litter will fit in the container? Find the volume Round your answer to the nearest tenth.

Therefore, the solutions to the quadratic equation x² + 7x - 8 = 0 are -8 and 1. The answers are D and E.

An equation is a mathematical statement that shows that two expressions are equal. It typically consists of variables, constants, and mathematical operations. Equations can be solved by manipulating the expressions to find the value of the variables that satisfy the equation. Equations can be used to model real-world situations, and they are an important tool in many fields, including mathematics, physics, engineering, and economics.

Here,

To check which values are solutions to the quadratic equation, we can substitute each value into the equation and see if it equals zero.

Substituting -1 into the equation:

(-1)² + 7(-1) - 8 = 1 - 7 - 8 = -14, which is not equal to zero.

Substituting 2 into the equation:

2² + 7(2) - 8 = 4 + 14 - 8 = 10, which is not equal to zero.

Substituting -4 into the equation:

(-4)² + 7(-4) - 8 = 16 - 28 - 8 = -20, which is not equal to zero.

Substituting -8 into the equation:

(-8)² + 7(-8) - 8 = 64 - 56 - 8 = 0, which is equal to zero. Therefore, -8 is a solution to the equation.

Substituting 1 into the equation:

1² + 7(1) - 8 = 1 + 7 - 8 = 0, which is equal to zero. Therefore, 1 is a solution to the equation.

To know more about equation,

https://brainly.com/question/28243079

#SPJ1

The new vertices of triangle FGH are  (-2, -2), (0, 5) and (4, -5)

We use the following procedures to determine a triangle's edges using its midpoints:

1) Find the midpoints' x and y numbers.

2) Apply the middle formula: A = (x1+x3-x2, y1+y3-y2) B = (x1+x2-x3, y1+y2-y3) C = (x2+x3-x1, y2+y3-y1)

3) Insert the appropriate x and y numbers.

Suppose triangular FGH's initial vertices are F(x1, y1), G(x2, y2), and H.(x3, y3). The x-coordinates of each vertex are increased by 3 to move the triangular three units to the right. Here are the updated vertices:

F(x1, y3, y2) G(x2, y3, y2) H(x3+3, y3)

The new points of the triangle FGH are therefore F(x1+3, y1), G(x2+3, y2), and H(x3+3, y3).

For the points F(-5, -2), G(-3, 5), and H(1, -5), the translated values are ...

F' = F +(3, 0) = (-5+3, -2) = (-2, -2)  

G' = G +(3, 0) = (-3+3, 5) = (0, 5)

H' = H +(3, 0) = (1+3, -5) = (4, -5)

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ1

Answer:

if a:c=2:3 andb:c=3:4therefore a:c=2:4

Answer:

The answer is 53.3333333

Step-by-step explanation:

first you know that the speed on the way there is 40 mph and the back is 80

lets call the time x On the way there the time would just be X on the way back it would be x-1 because it took one less our

to calculate the distance you need to do speed times time therefor the distance on the way there would be 40x and the way back would be 80x-80

Then I made an equation 40x=80x-80 X=2

so the distance would be 80 miles but to find average speed you need to do total distance over total time so it would be 160 over 3 because the time is 2x-2 x=2 so thats 3

Hope this helps

The required surface area of the larger solid is approximately 147 mm². Option A is correct.

We know that,

The surface area of any form is the area of the shape that is fronted.

The surface area of a 3D object is the amount of area covering the outside.

Let's say the surface area of the bigger solid S.

Since the two solids are similar, their volumes have a ratio of (side length)³.

Let's say the ratio of the side lengths of the larger to the smaller solid as k. Then,

⇒ k³ (540 mm³) = 857.5 mm³

Simplifying the above equation, we get:

⇒ k = 7/6

So, the larger solid is about 7/6=1.183 times bigger than the smaller solid in terms of side length.

Since the surface area has a ratio of (side length)²,

we can find the surface area of the larger solid by:

⇒ (1.83²)(108 mm³)

≈ 174 mm³

Therefore, the surface area of the larger solid is approximately 147 mm².

To learn more about the surface area visit: brainly.com/question/2835293

#SPJ1

Answer:

(a) 9

(b) -2

Step-by-step explanation:

it is very important to start by finding the equation of the line then substitute in some values.

As a result, the original discounted price is $1 while the weekly normal price is $9.

The fundamental formula for calculating a reduction is to increase the initial price by the provided percentage rate in decimal form. We must deduct the reduction from the initial price to determine the item's sale price.

From the given information, we have:

d + 6x = 55 (discounted price for 7 weeks)

d + 11x = 100 (discounted price for 12 weeks)

We can solve this system of equations by eliminating d. Subtracting the first equation from the second, we get:

5x = 45

Dividing both sides by 5, we get:

x = 9

Substituting x = 9 into one of the equations, we can solve for d. Using the first equation, we get:

d + 6(9) = 55

d + 54 = 55

d = 1

To know more about Discount visit:

https://brainly.com/question/1548141

#SPJ1

Answer:

y ≥ -x + 2

y < 2x - 1

Step-by-step explanation:

Solid line:

y ≥ -x + 2

Dashed line:

y < 2x - 1

The system of inequalities associated with the graph is y ≥ 2 and x < 3.

The system of inequalities associated with the graph can be determined by examining the shaded region on the graph. The shaded region represents all the possible solutions that satisfy the given inequalities. To determine the system of inequalities, we need to consider the boundaries of the shaded region. These boundaries are formed by the lines or curves on the graph.

1. Identify the lines or curves that form the boundaries of the shaded region. These lines or curves are usually represented by equations or inequalities. For example, if there is a solid line, it indicates that the boundary is included in the solution. If there is a dashed line, it indicates that the boundary is not included in the solution.

2. Determine the inequalities associated with each boundary line or curve. You can do this by examining the direction of the inequality symbol (<, >, ≤, or ≥) and the location of the line or curve in relation to the shaded region.

3. Write down the inequalities associated with each boundary line or curve. Make sure to include the correct inequality symbol and any necessary constants or variables.

4. Combine all the inequalities together to form the system of inequalities. This can be done by using logical operators such as "and" or "or" to connect the individual inequalities. The "and" operator is used when all the inequalities must be satisfied simultaneously, while the "or" operator is used when at least one of the inequalities must be satisfied. For example, let's say the graph has a solid horizontal line at y = 2, a dashed vertical line at x = 3, and the shaded region is above the horizontal line and to the left of the vertical line. In this case, the system of inequalities would be: - y ≥ 2 (since the shaded region is above the line) - x < 3 (since the shaded region is to the left of the line) Therefore, the system of inequalities associated with the graph is y ≥ 2 and x < 3.

To know more about inequalities here

https://brainly.com/question/30238989

#SPJ2

The construction illustrated in the figure is that of a line parallel to \(\overrightarrow{HJ}\) through point N.

Given: Figure containing illustration of the construction

To find: The construction illustrated in the figure

It can be seen that the figure contains a straight line passing through H and J, a straight line passing through H and N, and a straight line passing through N which seems to be parallel to \(\overrightarrow{HJ}\).

The figure also contains arcs made by a compass that measures the angle between \(\overrightarrow{HJ}\) and \(\overrightarrow{HN}\). These arcs have been replicated at the point N on the straight line \(\overrightarrow{HN}\).

This implies that the straight line through N has been constructed in such a way, so that the angle between that straight line and \(\overrightarrow{HN}\) is equal to the angle between \(\overrightarrow{HJ}\) and \(\overrightarrow{HN}\). This makes these angles, corresponding angles and \(\overrightarrow{HN}\) as the transversal. Thus, the new straight line is constructed parallel to \(\overrightarrow{HJ}\).

A strong counterargument that this illustration is not that of a line perpendicular to \(\overrightarrow{HJ}\) through point N is that the figure does not contain any straight line perpendicular to \(\overrightarrow{HJ}\).

Thus, the construction illustrated in the figure is that of a line parallel to \(\overrightarrow{HJ}\) through the point N.

Learn more about construction of parallel lines here:

https://brainly.com/question/12440487

The distances that represent the percentages are given as follows:

A proportion is a fraction of a total amount, used along with the unit measures and basic arithmetic operations to obtain the desired measures in the context of a problem.

28m is 80% of the distance, hence 100% of the distance is obtained applying the proportion as follows:

0.8x = 28

x = 28/0.8

x = 35.

Then the distance that represents 20% of a rotation is calculated as follows:

0.2 x 35 = 7 meters.

The complete problem is given by the image shown at the end of the answer.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

The correct option that shows the population of the research carried out by Matthew is;

Option D; all the students attending the college

        In conclusion, we can say that the population of this research by Matthew is the total number of students that attend the college.

Read more at; https://brainly.com/question/6028584

The required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

An arrangement of numbers in which the numbers are arranged from smallest to greatest numbers is called ascending order.

Given that, some numbers, 3√2, √3 − 1, √19 + 1, 6, 2√10 ÷ 5 and √14.

We need to order them from least to greatest,

3√2 = 4.24

√3 − 1 = 0.73

√19 + 1 = 5.35

6

2√10 ÷ 5 = 1.26

√14 = 3.74

The order from least to greatest is :-

0.73, 1.26, 3.74, 4.24, 5.35 and 6

i.e.

√3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

Hence, the required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

Learn more about ascending order, click;

https://brainly.com/question/28762233

#SPJ9

Answer:

I wont be able to graph this but I'll guide you, anyway

Step-by-step explanation:

First, we need to set up the inequality. Let x be the number of packs of paper Mr. Valentino can purchase. We know that the cost of each pack of paper is $3.75, so the total cost of x packs is 3.75x. We want to find the number of packs Mr. Valentino can purchase while staying within his $20 budget, so we can write the inequality as follows:

3.75x ≤ 20

To solve for x, we can divide both sides of the inequality by 3.75:

x ≤ 5.333...

Since Mr. Valentino can only purchase whole packs of paper, the maximum number of packs he can purchase is 5.

The graph of this solution is a line with a slope of 0 and a y-intercept at (0,20). The line is limited by the x-axis at x=5, so the solution is the region to the left of x=5.

Let x be the number of packs of paper that Mr. Valentino can purchase. We can write the inequality as follows:

3.75x ≤ 20

To solve this inequality, we can divide both sides by 3.75:

x ≤ 20/3.75

= 5.333...

Since x represents the number of packs of paper, it must be an integer. Therefore, the solution to the inequality is x ≤ 5.

The graph of this solution would be a number line with a solid dot at 5, indicating that 5 is included in the solution set, and an open dot at 6, indicating that 6 is not included in the solution set.

The solid dot represents the number 5, which is the maximum number of packs of paper that Mr. Valentino can purchase while staying within his budget. The open dot represents the number 6, which is not included in the solution set because it is not a possible value for x (since x must be an integer).

Overall, the solution to the inequality tells us that Mr. Valentino can purchase a maximum of 5 packs of paper while staying within his budget.

The concept of exponential growth function is discussed below.

An exponential function is of the form -

y = A(B)ˣ

Given is to explain exponential growth.

Exponential growth of a quantity happens if the rate of instantaneous change is directly proportional to the quantity itself. The general exponential function is -

y = A(B)ˣ

More specifically -

\($f(x)=a(1+r)^{x}\)

where -

f(x) = exponential growth function

{a} = initial amount

{r} = growth rate

{x} = number of time intervals

Therefore, the concept of exponential growth function is discussed above.

To solve more questions on exponential growth function, visit the link below -

https://brainly.com/question/1596693

#SPJ9

{Question in english -

What is exponential growth?}

Given: cost of CAYMAN sleep couch with VAT is R2 699

cost without VAT is R1 999

2.1  To calculate the original price of the couch excluding VAT, we can use the following formula:

Price including VAT / 1 + (VAT rate / 100) = Price excluding VAT

In this case, the VAT rate is 15% (since it is included in the original price), so the formula is:

R2,699 / 1 + (15 / 100) = R2,346.96

2.2  To calculate the expected price of the couch including VAT at the sale price, we can use the following formula:

Price excluding VAT * (1 + (VAT rate / 100)) = Price including VAT

In this case, the VAT rate is still 15% and the sale price is R1,999 (excluding VAT), so the formula is:

R1,999 * (1 + (15 / 100)) = R2,299

To learn more about VAT refer to:

brainly.com/question/20628016

#SPJ1

Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

Answer:

Step-by-step explanation:

y=mx+b

m= slope and b= y intercept

you'll start with a point on the y axis on -1

and the slope will go up so towards the right corner up but 2/1 points

Answer: -27

Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.

3, 9, -3, 3, -9, -3, -15, -9, -21, ?

We can start by looking at the differences between consecutive terms in the list:

9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12

Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:

-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21

Therefore, we predict that the most probable next number in the list is -27.

Answer:

See below

Step-by-step explanation:

Radius (r) = 8 inches

Chord = 8 inches

Since, length of radii and chord are equal. Thus the Triangle so formed by radii and chord will be an equilateral triangle.

\(\implies \) angle subtended at the centre of the circle \((\theta)=60\degree \)

Formula for area of segment of a circle is given as:

\(A = \frac{ {r}^{2} \theta }{36 0 \degree} \pi - \frac{1}{2} {r}^{2} \sin \theta \\ \\ \implies \: A = \frac{ {(8)}^{2} ( \cancel{60 \degree)}}{ \cancel{360 \degree}} \pi - \frac{1}{2} {(8)}^{2} \sin 60\degree \\ \\ \implies \: A = \frac {64 }{6} \pi - \frac{1}{2} \times 64 \times \frac{ \sqrt{3} }{2} \\ \\ \implies \: \huge \purple{ \boxed{A = \bigg( \frac {32 }{3} \pi - 16 \sqrt{3}\bigg) }\: sq\:in}\)

The simplified form of √(x^2) when x > 0 is |x|.

When simplifying the expression √(x^2) where x is greater than 0, we can simplify it to just x.

This is because the square root of a positive number will always result in a positive value, and x^2 is always positive when x is positive.

Therefore, the square root of x^2 is simply x.

This simplification follows from the fact that the square root function (√) is the inverse operation of squaring (x^2).

Applying the square root undoes the squaring operation, and since x is already positive, there is no need to introduce the absolute value function. Thus, when x > 0, the simplified form of √(x^2) is x.

for such more question on simplified form

https://brainly.com/question/11680269

#SPJ8

Therefore, out of the 24 students that Blake interviewed, 9 of them participate in sports.

An equation is a mathematical statement that indicates that two expressions are equal. It typically consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The expressions on both sides of the equation are separated by an equal sign "=" which means that the two expressions have the same value.

Here,

According to the table, Blake interviewed a total of 24 students. To find out how many of these students participate in sports, we need to add up the number of students who collect sports cards and participate in sports, as well as the number of students who do not collect sports cards and participate in sports. So:

Total students who participate in sports = Number of students who collect sports cards and participate in sports + Number of students who do not collect sports cards and participate in sports

Total students who participate in sports = 6 + 3

Total students who participate in sports = 9

To know more about equation,

https://brainly.com/question/28243079

#SPJ1

9514 1404 393

Answer:

  a) k = 2/5

  b) y = 2/5x

  c) y = 2 3/5

Step-by-step explanation:

The proportional relation is described by the equation ...

  y = kx . . . . . . k is the constant of proportionality

The value of k can be found by dividing the equation by x:

  y/x = k = (2 1/4)/(5 5/8) = (9/4)/(45/8) = 18/45

  k = 2/5

__

As above, the equation is ...

  y = kx

  y = 2/5x

__

Using 6.5 for x, we have ...

  y = (2/5)(6.5) = 2.6 = 2 3/5

Answer:

680

Step-by-step explanation:

Based on the given conditions, formulate:  17  × ( 23  + 17 )  

Calculate the sum or difference: 17  × 40  

Calculate the product or quotient: 680  

get the result: 680

Answer: 680

(Hope this helps can I pls have brainlist (crown)☺️)

Answer: A. 6m

Step-by-step explanation: the graph shows at the x axis that it is time. so, go to two seconds and then go up to where the line is. it goes up to 6m so that is the answer.

Answer: The patient should pay 17$

Step-by-step explanation: So first we need 10% of the bill

$85.00 / 10 = $8.50.

To get 20% we multiply that by 2

$8.50 x 2 = $17.00