A sports store orders a box of table tennis balls . the dimensions of the box are 10 inches by 10 inches by 10 inches. inside the box, there are 6 layers of table tennis balls. each layer is made up of 6 rows and 6 columns of table tennis balls. 1.how many table tennis balls are in the box?2.write a multiplication expression to represent the volume of the box in cubic inches .3. write the expression you wrote for the volume of the box using exponents.4.Write a multiplication expression to represent the number of table tennis balls in one layer of the box.5.Write a multiplication expression to represent the number of table tennis balls in all 6 layers of the box .6. Write an expression using exponents to represent the total number of table tennis balls in the box .7. Explain how you could find the number of table tennis balls in the box .

Answer:

296 minutes

Step-by-step explanation:

18,000 - 300 = 17,700.

17,700 ÷ 60 = 296.

It will take 296 minutes to drain the whole pool.

The coordinates of the vertex of the following parabola is (0,6).

The given equation of the parabola is \(& y=-3 x^2+6 \\\)

The point where the parabola and its axis of symmetry intersect is called the vertex of a parabola. It is used to determine the coordinates of the point on the parabola's axis of symmetry where it crosses it.

The standard form of a parabola is \(y=ax^{2} +bx+c.\)

The vertex form of a parabola is \(y = a(x-h)^{2} + k\).

\($$\begin{aligned}& y=-3 x^2+6 \\& y-6=-3 x^2 \\& y-6=-3(x-0)^2\end{aligned}$$\)

The vertex formula is used to find the vertex of a parabola. The formula to find the vertex is (h, k) = (-b/2a, -D/4a), where D = \(b^{2} -4ac\).

Now comparing the above equation by the equation of parabola

⇒\($$y-b=4(x-a)^2 \cdots$$\)

With vertex (a, b)

So a=0 and b=6.

So vertex of above parabola is\($(\mathbf{0}, \mathbf{6})$\).

Therefore, the vertex of the given parabola \($\mathbf{y}=-\mathbf{3} \mathbf{x}^{\mathbf{2}}+\mathbf{6}$ is $(\mathbf{0}, \mathbf{6})$\).

For more such questions on  vertex of parabola

https://brainly.com/question/11431127

#SPJ4

Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y) point. \(& y=-3 x^2+6 \\\)

Let's assume that the number of diners at the Italian restaurant is "x" and the number of diners at the Mexican restaurant is "y". Then, we can write the following equations based on the given information:

Italian restaurant:

Donation = $462 + $1 per diner

Donation = $462 + $1x

Mexican restaurant:

Donation = $235 + $2 per diner

Donation = $235 + $2y

Since both restaurants will donate the same total amount, we can set their donations equal to each other:

$462 + $1x = $235 + $2y

Simplifying this equation, we get:

$2y - $1x = $227

We know that the number of diners has to be a whole number, so we can try different values of x and see which one gives us a whole number for y.

For example, if we try x = 200, then we can solve for y:

$2y - $1(200) = $227

$2y = $427

y = 213.5

Since y is not a whole number, we need to try a different value of x. If we try x = 250, then we get:

$2y - $1(250) = $227

$2y = $477

y = 238.5

Again, y is not a whole number, so we try another value of x. If we try x = 300, then we get:

$2y - $1(300) = $227

$2y = $527

y = 263.5

Still not a whole number, so we try x = 350:

$2y - $1(350) = $227

$2y = $577

y = 288.5

Finally, we get a whole number for y, so we have our solution:

Italian restaurant: x = 350 diners, donation = $812

Mexican restaurant: y = 289 diners, donation = $812

Therefore, 350 diners promised to participate and each restaurant would donate $812.

Answer:

What is the question.

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

Do you mean 9 ft. - 10 ft., which equals -1,

or do you mean 9 ft. x 10 ft., which is 90 ft.?

Answer:

A person (or institution) who invest the money or makes the funds available is called the lender or creditor.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step 1:First Make 3/4 and 5/6 into like fractions.Find the L.C.M of 4 and  

            6,which is 12.

            3*3/4*3=9/12

             5*2/6*2=10/12

Step 2:Subtract 9/12 from 10/12,which is 1/12.

a) The value in four years is 2,207,626

b) The growth rate percent is 102.5 %

c) It would attain the value in 11 years.

We know that a function has to do with a mathematical rule that is used for the establishment of a fact. We have from the question that the function that models the car is; V = 2000000(1.025)^n

Let us recall that n has to do with the number of years.

a) In four years, the value of the car would be;

V = 2000000(1.025)^4

V = 2,207,626

b) The growth rate percent of the function can  be obtained as;

1.025 * 100 = 102.5 %

c) To obtain the year in which the value of the car would reach 2624173.32, we have;

2624173.32 = 2000000(1.025)^n

2624173.32/2000000 = (1.025)^n

1.312 = (1.025)^n

ln1.312 = n ln (1.025)

n = ln1.312 /ln (1.025)

n = 0.272/0.025

n = 11

Learn more about exponential function:https://brainly.com/question/14355665

#SPJ1

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

learn more about word problem from

https://brainly.com/question/21405634

#SPJ1

Answer:

(- 3, 1.5)

--------------------------

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

Answer:

2.5

Step-by-step explanation:

We Know

You buy 4 5/8 blue fabric and 2 1/8 green fabric .

4 5/8 = 37/8 = 4.625 blue fabric

2 1/8 = 17/8 = 2.125 green fabric

How much blue than green did you buy?

We Take

4.625 - 2.125 = 2.5

So, you buy 2.5 blue more than green.

Answer:

infinite number of solutions

Step-by-step explanation:

\(\frac{4}{5}\) (x + 9) - \(\frac{1}{5}\) x = \(\frac{3}{5}\) (x + 12)

multiply through by 5 to clear the fractions

4(x + 9) - x = 3(x + 12) ← distribute parenthesis on both sides

4x + 36 - x = 3x + 36

3x + 36 = 3x + 36

since both sides are the same then any value of x will make the equation true.

Thus there are an infinite number of solutions

Answer:

The nth term is Tn = 2[T(n- 1) -2]

The next term is 356

Step-by-step explanation:

Given

Terms: 15,26,48,92,180

Solving (a) : The recursive n term

We have:

T1 = 15

T2 = 26 = 13 * 2 = (15 - 2) * 2

T3 = 48 = 24 * 2 = (26 - 2) * 2

T4 = 92 = 46 * 2 = (48 - 2) * 2

T5 = 180 = 90 * 2 = (92 - 2) * 2

So, the nth term can be represented as:

Tn = [T(n-1) - 2] * 2

Tn = 2[T(n-1) - 2]

The next term is the 6th term.

So, substitute 6 for n in the above formula.

T6 = 2 * [T(6 - 1) - 2]

T6 = 2 * [T5 - 2]

Substitute 180 for T5

T6 = 2 * (180 - 2)

T6 = 2 * 178

T6 = 356

Answer:

D or [1.5, ∞)

Step-by-step explanation:

Got it right on edgenuity

Answer:

3 19/24

Step-by-step explanation:

\( \frac{3}{8} + \frac{2}{3} + \frac{11}{4} = \frac{9 + 16 + 66}{24} = \frac{91}{24} = 3 \frac{19}{24 } \)

hope it helps

Answer:

3m² + m + 7​

Explanation:

(2m² + 6m) + (m² – 5m + 7)

Remove Parenthesis

2m² + 6m + m² – 5m + 7

Group Like Terms

2m² + m² + 6m - 5m + 7

Add Similar Elements

2m² + m²: 3m²

6m - 5m = m

3m² + m + 7

Answer:

is 15.2

Step-by-step explanation:

There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.

Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.

Denote this path as P. Let x be the vertex on path P that is closest to v.

By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.

Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.

Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

For more such questions on vertex

https://brainly.com/question/25651698

#SPJ8

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

To learn more about factorise here,

https://brainly.com/question/10718512

https://brainly.com/question/24734894

Answer:

Option A: \(5\frac{1}{4} *4\frac{1}{5}\)

Step-by-step explanation:

Area of a parallelogram is base times height so in this case it would be 5 1/4 times 4 1/5. 5 1/4 being the base and 4 1/5 being the height.

Answer: YES

Step-by-step explanation: both equal 5 when divided.

The number of possibilities for 8 of 37 servers to fail is 38608020

From the question, we have

Total number of servers, n = 37

Numbers to servers that fail, r = 8

The number of ways for 8 serves to fail is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 37 and r = 8

Substitute the known values in the above equation

Total = ³⁷C₈

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 37!/29!8!

Evaluate

Total = 38608020

Hence, the number of ways is 38608020

Read more about combination at

brainly.com/question/11732255

#SPJ1

Answer:

72°

Step-by-step explanation:

The diagonals of a parallelogram intersect at a point that forms the center of symmetry of the parallelogram.

Answer:

Please help me

Step-by-step explanation:

Please!

Answer:

the answer to your question is 1/6

Answer:

D

Step-by-step explanation:

30 : 13  = 30/13

Answer:

The answer is 13:30

Step-by-step explanation:

All you have to do is make sure that you put the ice skating fist because that is the one that the question mentioned first. Hope this helps :)

In the given picture there are 5 questions.

1. What are the name of the segments?

We have 3 points on a line we get 3 segment that are \(\bar{AB},\bar{AC}and \bar{BC}\).

2.What are the names of a rays?

The names of the rays are\(\overrightarrow{AB},\overrightarrow{AC},\overrightarrow{CB},\overrightarrow{BA},\overrightarrow{BC}and \overrightarrow{CA}\).

3. Name a pair of opposite rays.

The pair of opposite rays are \(\overrightarrow{CB},and \overrightarrow{CA}\).

4. What is the intersection of plane AEF and plane HGF

\(\overrightarrow{EF}\).

5. Name two planes that intersect  \(\overline{CB}\).

plane BFG and plane ADC.

1. Given there is a line with 3 points A,B and C.

The segment is the ends of a line segment are two. These endpoints are included, along with every point on the line that connects them. A segment's length can be measured, while a line's length cannot.

If there are 2 points on a line = 1 line segment; 3 points on a line = 3 segments.

We have 3 points on a line we get 3 segment that are \(\bar{AB},\bar{AC}and \bar{BC}\).

2. Given there is a line with 3 points A,B and C.

A ray is a segment of a line with a single endpoint and unlimited length in a single direction. A ray cannot be measured in terms of length.

The names of the rays are

\(\overrightarrow{AB},\overrightarrow{AC},\overrightarrow{CB},\overrightarrow{BA},\overrightarrow{BC}and \overrightarrow{CA}\).

3. Opposite rays are the two rays which has same end point that when kind of combined together create a straight line.

So, here we have an end point as C and the reason being is if my endpoint C i can have a ray go to right point B and it can go to the left point A.

If we choose the point A it can go to right point but not left and if we choose the point B it can go to left point but not right.

That's why the end point is C.

The pair of opposite rays are \(\overrightarrow{CB},and \overrightarrow{CA}\).

4. the intersection of plane AEF and plane HGF is \(\overrightarrow{EF}\).

5. the planes that intersect  \(\overline{CB}\).

plane BFG and plane ADC.

To learn more about segment visit: https://brainly.com/question/27901168

#SPJ9

Step-by-step explanation:

\( { \alpha }^{4} + { \beta }^{4} = ( {( { \alpha }^{2} })^{2} + {( { \beta }^{2} })^{2} \)

\( = {( { \alpha }^{2} + { \beta }^{2} })^{2} - 2( { \alpha }^{2} )( { \beta }^{2} )\)

\( {( {( \alpha + \beta )}^{2} - 2 \alpha \beta ) }^{2} - 2( { \alpha )}^{2} ( { \beta )}^{2} \)

I hope it helped you

Answer:

Step-by-step explanation:

Remark

The two black suites are

Clubs

Spades

Each of them has 13 cards so the total number of black cards is 2*13 = 26

Add to that the hearts which also has 13 cards

The total number of possible good cards is 13 + 26 = 39

Answer

P(hearts or Black) = 39/52

P(hearts or Black) = 3/4

P(hearts or Black) = 0.75

The mistakes that were made regarding the transformation are:

It should be noted that a transformation simply means the changing of the position of an object

In this case, the transformation is incorrect as he applied the reflection to the pre-image first and used an incorrect angle of rotation around point P.

Learn more about transformation on:

brainly.com/question/14911648

#SPJ1