A box without a top is to be made from a rectangular piece of cardboard, with dimensions 9 in. by 10 in., by cutting out square corners with side length x and folding up the sides.
What is the optimal volume of the box, and what is the optimal cut?

Answer:

x=14

Step-by-step explanation:

A to B = 1:2

so B is 2 times bigger than A

A = 9 so B is 18

18 - 4= 14

x = 14

Answer:

Step-by-step explanation:

Challenge 1

We have exponential decline if 0 b 1. As you move from left to right, the curve will get less steep.

If b is greater than 1, exponential growth is present, and the curve slopes upward from left to right.

Examples include exponential decline (y = 2(0.5)x) and exponential growth (y = 2(1.2)x).

Remember that b cannot be negative.

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Challenge 2

In the general template provided, enter x = 0.

y = a(b)^x

y = a(b)^0

y = a(1) (1)

y = a

When x = 0 is plugged in, the result is y = a.

The curve is therefore on the point (0,a). The y intercept appears here. It is the point when the curve veers off the y axis. The y intercept is altered if the value of "a" is altered.

Examples:

Answer:

y = 15

Step-by-step explanation:

We need to solve for k

y = x

21 = 7k  Divide both sides by 7 to solve for k

3 = k

y = xk

y = 5(3)

y = 15

Answer: y = 15

Step-by-step explanation:  

Answer:

Step-by-step explanation:

C

Answer:

Answer: . Area of figure = area of squane + anea

of tringle =side * side + 1/2 xbagex height =7 * 7+

1/2 * 7 *

Approximately 8.47 cm² of the figure is painted green

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given as side².

We have,

To find the area painted green, we need to calculate the areas of the square and the triangle and then multiply by 14.2% (or 0.142).

The area of the square is simply the length of one side squared, so:

Area of square = (7 cm)² = 49 cm²

The area of the triangle is one-half the base times the height, so:

Area of triangle = (1/2)(7 cm)(3 cm) = 10.5 cm²

Therefore, the total area of the figure is the sum of the area of the square and the triangle:

Total area = 49 cm² + 10.5 cm² = 59.5 cm²

Finally, to find the area painted green, we multiply the total area by 14.2%:

Area painted green = 0.142 x 59.5 cm² ≈ 8.47 cm²

Therefore,

Approximately 8.47 cm² of the figure is painted green

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Answer:

X = 7 Y= 2

Step-by-step explanation:

I knew and I graduated

Answer:

7.) y= 4x - 5

8.) y= -4/3x + 1

9.) y= -1x + 3 or y= -x + 3

10.) y= 5/4 + 0 but it can also be written as y=5/4

11.) y= -2x - 10

12.) y= 1.5x + 1.5

Step-by-step explanation:

slope-intercept is written as y=mx+b

m is our slope and b is our y-intercept

Answer:

If Pi is approximated to 3.14, the circumference of the circle is 25.12 cm.

Step-by-step explanation:

Just do it - Nike

Answer:

48.1 somewhere around 36 and 57

Step-by-step explanation:

Answer:

36-57

Step-by-step explanation:

18.50 x 2.6 = 48.10, which is between those two numbers

THE BLUE ONE LOOKS LIKE ITS POINTING AT THE RED ONE

Answer:

The answer is 512 in³.

Step-by-step explanation:

The formula for the volume of the box is V = s³.

Since 8 is the side length, substitute s for 8 in the formula: V = 8³.

8³ is the same as 8×8×8, which is equal to 512.

Therefore, the answer is 512 in³.

Hope this helps!

The expression to show the total volume of the two boxes is 512 in.³

The volume of a cube is defined as the total number of cubic units occupied by the cube completely. A cube is a three-dimensional solid figure, having 6 square faces. Volume is nothing but the total space occupied by an object.

a) In the given figure, volume of bigger box is s³ and the volume of smaller box is 100 in.³

Total volume =s³+100

b) The volume of larger box has a side length of 8 inches

Now, s³

Where, s is edge, s=8

Volume =8³

= 512 in.³

Therefore, the expression to show the total volume of the two boxes is 512 in.³

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Answer:

D

Step-by-step explanation:

hey there!

4p=16 our objective is to isolate the variable

step 1 divide each side by 4

4/4 cancels out

16/4=4

we're left with p=4 and only 4

therefore D is the correct answer

Answer:

1

Step-by-step explanation:

I belive its one because 3^2  is 9 and 9+1 = 10

to make sure  it not just once 3^3 is 27 and 27+1=28

Answer:

C. -2.05

Step-by-step explanation:

When a number is in the negatives, the number that is closest to the number 0 on the number line will always be greater than a negative number with a larger number. So since -2.047 is closer to 0 than -2.05, -2.047 will be greater than -2.05

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Answer:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Step-by-step explanation:

Answer:

clay bowl

Step-by-step explanation:

Answer:

Clay Bowl

Step-by-step explanation:

Sea level is represented as 0 feet. Therefore making any negative number below sea level, and any positive number above sea level.

Answer:

wait a sec

Step-by-step explanation:

2. n=16

3. m=17

4. z=11

5. y=8

6. w=3

7.a=1,5

8. 0,4

9. ⅚

10.0,8

Answer:

6 inch^2

Step-by-step explanation:

16/8 = 2 inch^2 per slice

3 x 2 = 6 inch^2

The amount of square inches of pizza she ate is 75.398 inches².

What is Area?

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Pizza is circular in shape.

Diameter of the pizza = 16 inches

Radius of the pizza = 16/2 = 8 inches

Area of the pizza = π r², where r is the radius

                             = 8² π

                             = 64π

Area of each slice if it is cut into 8 equal slices = 64π/8 = 8π

If she ate 3 slices,

Area of 3 slices = 3 × 8π = 24π = 75.398 inches²

Hence the area of the pizza that she ate is 75.398 inches².

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Answer:

D. The radius is 11 units, and the volume is 5,572.45 cubic units.

Step-by-step explanation:

The radius of the sphere is 11 units and the volume of the sphere is 5572.45 cubic units.

It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.

We have a diameter of the sphere = 22 units

We know the radius of the sphere is the half of the diameter.

The radius r = 22/2 = 11 units

The volume:

\(\rm V = \dfrac{4}{3} \pi r^3\)

Plug r = 11 units and π = 3.14

\(\rm V = \dfrac{4}{3} \times 3.14 (11)^3\)

V = 5572.45 cubic units

Thus, the radius of the sphere is 11 units and the volume of the sphere is 5572.45 cubic units.

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Answer:

(-1,-3)

Step-by-step explanation:

it's where the ponts at

Answer:

The slope is -3

Step-by-step explanation: Use rise over run

rise/ run = -3/1

so the slope is -3

Answer:

A.

Step-by-step explanation:

The slope is 1, so for every hour, it goes up $10.

Answer:

it's (4)

The set of integers is closed under the operation of addition because the sum of any two integers is always another integer and is therefore in the set of integers.

in (4) set of all even numbers {2, 4, 6, 8, 10,......, inf.}

2+4=6 (element of the set)

4+6=10 (element of the set)

so the answer is (4) {x|x is an even integer}

Step-by-step explanation:

brainliest plz

When a line segment is bisected, it means that it is divided into two equal parts. In this case, line segment AB is bisected at point G by ray XY. Therefore, point G is the midpoint of line segment AB. This means that point G is equidistant from both endpoints of the line segment, and that it divides the line segment into two equal parts. So, the correct statement about point G is that it is the midpoint of line segment AB.      

Line segment AB is bisected at point G by XY. Hence (option C), G is the midpoint of AB.

A line segment is a part of a line. It has an ending and starting point. Examples of line segments are the edges of a table, the side of a square or a rectangle.

A line bisector cuts the line segment into equal half. It intersects the other line segment at the mid-point.

A line bisector passes through the mid-point of the line segment.

Since G is bisecting AB, hence it will be the mid-point of line segment AB and not XY.

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The complete question is -

AB is bisected at point G by XY. Which of the following is true about point G?

A. G is the midpoint of XY

B. G is both the midpoint of XY and the midpoint of AB***

C. G is the midpoint of AB

D. none of these

Answer:

no bro, sorry. even though I needed to I don't have it

Answer: Answer B is correct

Step-by-step explanation:

if u put in -2/5 in a calculator and change it to decimal form it equals -0.4