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Sergeeva-Olga [200]
3 years ago
10

Write an equation in slope intercept form given the following slope and point M=-3 (6,-9)​

Mathematics
1 answer:
Kitty [74]3 years ago
5 0

Answer:

y = -3x + -9/6

-9/6 simplified as -3/2

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Find volume with full working out pls asap
ZanzabumX [31]

Answer:

868 m³

Step-by-step explanation:

Volume = Difference of cones

V = ⅓(pi×r²h)

Volume of cone with base Circle O:

h = 8.2+8.2 = 16.4 m

V1 = ⅓(pi×7.6²×16.4)

V1 = 991.97

Volume of cone with base Circle A:

V2 = ⅓(pi×3.8²× 8.2)

V2 = 124 m³

Volume = V1 - V2

991.97 - 124 = 868 m³

6 0
3 years ago
Lincoln invested $15,000 in an account paying an interest rate of 3\tfrac{1}{2}3 2 1 ​ % compounded continuously. Harper investe
wolverine [178]

Answer:

54750

Step-by-step explanation:

3 0
3 years ago
An assembly line has two inspectors. The probability that the first inspector will miss a defective item is 0.06. If the defecti
Novay_Z [31]

Answer:

probability that both passes a defective item is  0.8742‬

<h3>Step-by-step explanation:</h3>

probability that the first inspector misses is Pr( 1st misses)= 0.06

therefore the probability he does not miss is

Pr(1st passes)= 1 - Pr( 1st misses) = 1 - 0.06 = 0.94

probability that the second misses is Pr( 2nd misses) = 0.07

therefore probability that 2nd does not miss is

Pr( 2nd passes) = 1- Pr( 2nd misses) = 0.93

probability that both passes a defective item is  Pr(1st passes)*Pr( 2nd passes)

= 0.93*0.94 = 0.8742‬

7 0
3 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
ddd [48]

Answer:

f'(x) = 4x^2 - 3 for x \le -3

Step-by-step explanation:

See attachment for proper question

Given

f(x) = -\frac{1}{2}\sqrt{x + 3}

For

x \ge -3

Required

Determine the inverse function

f(x) = -\frac{1}{2}\sqrt{x + 3}

Replace f(x) with y

y = -\frac{1}{2}\sqrt{x + 3}

Swap the positions of x and y

x = -\frac{1}{2}\sqrt{y + 3}

Multiply both sides by -2

-2 * x =-2 *  -\frac{1}{2}\sqrt{y + 3}

-2x =\sqrt{y + 3}

Square both sides

(-2x)^2 =(\sqrt{y + 3})^2

4x^2 =y + 3

Make y the subject

y = 4x^2 - 3

The inverse has been solved. So, we need to replace y with f'(x)

f'(x) = 4x^2 - 3

Next, is to determine the interval

x \ge -3

Change inequality to \le

x \le -3

Hence, the inverse function is:

f'(x) = 4x^2 - 3 for x \le -3

7 0
3 years ago
A piece of cardboard has the dimensions (x + 15) inches by (x) inches with the area of 60 in 2 . Write the quadratic equation th
pochemuha

Answer:

x^2 + 15x - 60 = 0

The actual dimension is 18.28 by 3.28

Step-by-step explanation:

Given

Dimension:

(x + 15)\ by\ x

Area = 60in^2

Required

Determine the quadratic equation and get the possible values of x

Solving (a): Quadratic Equation.

The cardboard is rectangular in shape.

Hence, Area is calculated as thus:

Area = Length * Width

60= (x + 15) * x

Open Bracket

60= x^2 + 15x

Subtract 60 from both sides

x^2 + 15x - 60 = 0

<em>Hence, the above represents the quadratic equation</em>

Solving (b): The actual dimension

First, we need to solve for x

This can be solved using quadratic formula:

x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

Where

a = 1

b = 15

c = -60

So:

x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

x = \frac{-15 \± \sqrt{15^2 - 4*1*-60}}{2*1}

x = \frac{-15 \± \sqrt{225 + 240}}{2}

x = \frac{-15 \± \sqrt{465}}{2}

x = \frac{-15 \± \21.56}{2}

Split:

x = \frac{-15 + 21.56}{2} or x = \frac{-15 - 21.56}{2}

x = \frac{6.56}{2} or x = \frac{-36.36}{2}

x = 3.28 or x = -18.18

But length can't be negative;

So:

x = 3.28

The actual dimensions: (x + 15)\ by\ x is

Length =3.28 +15

Length =18.28

Width = x

Width =3.28

<em>The actual dimension is 18.28 by 3.28</em>

3 0
3 years ago
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