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3 years ago

Can someone please answer this

Mathematics

1 answer:

nikdorinn [45]3 years ago

5 0

Answer:

The answer us B y= -8/7x -18/7

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A random card is drawn from a full deck of 52 cards. What is the probability that a card drawn is one of the 4 queens in the dec

IRINA_888 [86]

4/52 = 2/27 After you divide that you get .074 after you round it to the three places.

5 0

3 years ago

Find the area of the trapezoid.

anzhelika [568]

Answer:

488 sq ft

Step-by-step explanation:

Alright, so:

The formula for the area of a trapezoid is as follows:

$A=\frac{a+b}{2} h$

In this case, a and b are the bases.

Insert the values into our equation and we have...

$A = \frac{39+17}{2} (16)\\A = \frac{56}{2} (16)\\A = 488ft^{2}$

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Have a nice day fam. Spread The Love!

5 0

3 years ago

What is the vertex of g(x)=-3x^2+18x+2? a) (3,-25) b) (-3,-25) c) (3,29) d) (-3,29)

poizon [28]

C). (3, 29) would be your answer.

Explanation?:

Rewrite the equation in vertex form.

y = -3(x - 3)^2 + 29

use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.

a = -3

h = 3

k = 29

The vertex = (h, k)/(3, 29)

Hope this helps!

6 0

3 years ago

An open metal tank of square base has a volume of 123 m^3

snow_lady [41]

Answer:

a) h = 123/x^2

b) S = x^2 +492/x

c) x ≈ 6.27

d) S'' = 6; area is a minimum (Y)

e) Amin ≈ 117.78 m²

Step-by-step explanation:

a) The volume is given by ...

V = Bh

where B is the area of the base, x^2, and h is the height. Filling in the given volume, and solving for the height, we get:

123 = x^2·h

h = 123/x^2

b) The surface area is the sum of the area of the base (x^2) and the lateral area, which is the product of the height and the perimeter of the base.

$S=x^2+Ph=x^2+(4x)\dfrac{123}{x^2}\\\\S=x^2+\dfrac{492}{x}$

c) The derivative of the area with respect to x is ...

$S'=2x-\dfrac{492}{x^2}$

When this is zero, area is at an extreme.

$0=2x -\dfrac{492}{x^2}\\\\0=x^3-246\\\\x=\sqrt[3]{246}\approx 6.26583$

d) The second derivative is ...

$S''=2+\dfrac{2\cdot 492}{x^3}=2+\dfrac{2\cdot 492}{246}=6$

This is positive, so the value of x found represents a minimum of the area function.

e) The minimum area is ...

$S=x^2+\dfrac{2\cdot 246}{x}=(246^{\frac{1}{3}})^2+2\dfrac{246}{246^{\frac{1}{3}}}=3\cdot 246^{\frac{2}{3}}\approx 117.78$

The minimum area of metal used is about 117.78 m².

3 0

2 years ago

What is the volume of the rectangular prism, in cubic cm? 9 cm 4 cm 12 cm

Over [174]

Answer:

V =432 cm^3

Step-by-step explanation:

The volume is given by

V = l*w*h

V = 9*4*12

V =432 cm^3

5 0

2 years ago