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Y_Kistochka [10]

3 years ago

13

How can you tell when a pattern shows counting on by 10

2 answers:

Sunny_sXe [5.5K]3 years ago

8 0

If you see a zero in the end of a number it might be counting on by ten, the hint is most likely the zero. Let's say you had a question like: 10_30. If you see the zero, you can make sense out of it and try the tens times table. So add ten to 10 and bam! You found your answer

Viefleur [7K]3 years ago

6 0

If you see a zero that means that you are counting by 10s For example: 10,20,30,40,50,60,70,80

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A box with a square base and open top must have a volume of 296352 c m 3 . We wish to find the dimensions of the box that minimi

mestny [16]

Answer:

Base Length of 84cm
Height of 42 cm.

Step-by-step explanation:

Given a box with a square base and an open top which must have a volume of 296352 cubic centimetre. We want to minimize the amount of material used.

Step 1:

Let the side length of the base =x

Let the height of the box =h

Since the box has a square base

Volume, $V=x^2h=296352$

$h=\dfrac{296352}{x^2}$

Surface Area of the box = Base Area + Area of 4 sides

$A(x,h)=x^2+4xh\\$Substitute h=\dfrac{296352}{x^2}\\A(x)=x^2+4x\left(\dfrac{296352}{x^2}\right)\\A(x)=\dfrac{x^3+1185408}{x}$

Step 2: Find the derivative of A(x)

$If\:A(x)=\dfrac{x^3+1185408}{x}\\A'(x)=\dfrac{2x^3-1185408}{x^2}$

Step 3: Set A'(x)=0 and solve for x

$A'(x)=\dfrac{2x^3-1185408}{x^2}=0\\2x^3-1185408=0\\2x^3=1185408\\$Divide both sides by 2\\x^3=592704\\$Take the cube root of both sides\\x=\sqrt[3]{592704}\\x=84$

Step 4: Verify that x=84 is a minimum value

We use the second derivative test

$A''(x)=\dfrac{2x^3+2370816}{x^3}\\$When x=84$\\A''(x)=6$

Since the second derivative is positive at x=84, then it is a minimum point.

Recall:

$h=\dfrac{296352}{x^2}=\dfrac{296352}{84^2}=42$

Therefore, the dimensions that minimizes the box surface area are:

Base Length of 84cm
Height of 42 cm.

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3 years ago

A company sell men basketball with a circumference of 29.5 in they also sell youth basketball with a circumference 27.75 in the

Vedmedyk [2.9K]

Answer:

9 INCHES

Step-by-step explanation:

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4 years ago

A warehouse contains 55 boxes. Then a truck delivers a number of boxes at 12:00 p.m. and the team begins to unload them immediat

ollegr [7]

Answer:

154 boxes

Step-by-step explanation:

7 0

3 years ago

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What is the graph of 4x + 7y = -28?

lesya692 [45]

Answer:

StGraph the line using the slope and y-intercept, or two points.

Slope: −47

y-intercept: (0,−4)

x y

−7 0

0 −4

step-by-step explanation:

5 0

3 years ago

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An ice cream stand uses the expression 2 + 0.5x2+0.5x2, plus, 0, point, 5, x to determine the cost (in dollars) of an ice cream

Rashid [163]

Answer:

An ice cream cone with 5 scoops cost is, $4.5

Step-by-step explanation:

As per the statement:

An ice cream stand uses the expression $2+0.5x$ to determine the cost of an ice cream cone that has x scoops of ice cream.

⇒ Cost of an ice cream cone C(x) = $2+0.5x$ .....[1]

Given: x = 5 scoops

We have to find the cost of an ice cream cone with 5 scoops cost.

Substitute the given value of x =5 in [1] we have;

C(5) = $2+0.5(5)$

C(5) = $2+0.5 \times 5$ = 2 + 2.5 = $4.5

Therefore, an ice cream cone with 5 scoops cost is, $4.5

3 0

3 years ago

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