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2 years ago

Which group of numbers is in correct

Mathematics

2 answers:

s2008m [1.1K]2 years ago

7 0

The incorrect group number is 22,892 36,975 51,058

juin [17]2 years ago

4 0

It is d because 22,892 is the largest and 36,975 is the middle number and 22,892 is the smallest number.

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An open box is to be made from a square piece of cardboard measuring 15 inches on a side by cutting a square from each corner an

vodomira [7]

Answer:

Dimensions are;

2.5 inches height

Base: 10 inches by 10 inches

Max volume; 250 Sq.in

Step-by-step explanation:

Let each side of the square that's cut-off from each corner be represented by x.

This means that the base of the box will be of dimension of the side 15−2x while the height of the box will be x.

Thus;

Volume of box is:

V = (15 − 2x)(15 − 2x)x

V = (15 − 2x)²x

V = (4x² - 60x + 225)x

V = 4x³ - 60x² + 225x

Let's differentiate with respect to x to get;

dV/dx = 12x² - 120x + 225

Maximum value of x is at dV/dx = 0

12x² - 120x + 225 = 0

Using quadratic formula, we arrive at;

x = 2.5 or 7.5

Now, let's find the second derivative of the volume;

d²V/dx² = 24x - 120

Putting x = 2.5 gives;

d²V/dx² = 24(2.5) - 120

d²V/dx² = -60

Thus, V is maximum at x = 2.5, since d²V/dx² is negative

At x = 7.5;

d²V/dx² = 24(7.5) - 120

d²V/dx² = 60

Thus, V is minimum at x = 7.5, since d²V/dx² is negative

Thus,we will use x = 2.5

Maximum volume; V = (15 − 2(2.5))(15 − 2(2.5))(2.5)

V = 10 × 10 × 2.5

V = 250 Sq.inches

Dimensions are;

(15 − 2x) = 15 - 2(2.5) = 10 inches

x = 2.5 inches

6 0

3 years ago

The volume of this rectangular prism is 8 cubic feet. What is the surface area?

Nataliya [291]

Answer:

Step-by-step explanation:

V = 4 * 1 * b = 8

b = 2

SA = 2(4 + 1) * 2 + 2(4)1)

SA = 28

Answer: 28 ft²

4 0

2 years ago

Read 2 more answers

What is the slope of 2x-1=-3y

torisob [31]

I think its -1 i not very smart so it probably wrong

5 0

3 years ago

Read 2 more answers

30 POINTS AVAILABLE

kherson [118]

Answer:

$\large\boxed{(x-2)^2+(y-1)^2=34}$

Step-by-step explanation:

The equation of a circle in standard form:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)$

Substitute:

$h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1$

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the points (2, 1) and (5, -4):

$r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}$

Finally we have:

$(x-2)^2+(y-1)^2=(\sqrt{34})^2$

3 0

3 years ago

(I do brainliest.) slope intercept form... [show ya work plz]

eduard

Answer:

y = 3x+2

Step-by-step explanation:

(3,7) (6,9) Y2=9 Y1=7 X2=6 X1=3

M = 9-7/6/3

2/3

3 0

2 years ago

￼ Which group of numbers is in correct

Which group of numbers is in correct