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3 years ago

Please visit my previous questions to know what the word problem is

Mathematics

1 answer:

Rudiy273 years ago

4 0

Answer:

As below

Step-by-step explanation:

using eq from problem 4) y = -45x + 1080

then use the point slope formula with the slope of the above line at -45 and plug in your given point of (8, 240)

y-y1 = m(x-x1) where m is the slope above

y-240 = -45 (x - 8 ) this is an equation for the line but the teacher probably wants the slope intercept form... the formula is y = mx + b

soooo...

y-240 = -45x + 360

y = -45x +360 + 280

y = -45x + 640

there you go :)

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Express 533 base 6 to a in base three

katen-ka-za [31]

Answer:

21110

Step-by-step explanation:

8 0

2 years ago

Find the perimeter of the quadrilateral that has vertices at (8,13), (5,-18), (-6,-6), and (-2,-5).

kodGreya [7K]

Answer:

72.14 units

Step-by-step explanation:

Let A(8,13), B(5,-18),C(-6,-6) and D(-2,-5)

Apply the distance formula as;

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

Finding the lengths of the segments

For AB

$AB=\sqrt{(5-8)^2+(-18-13)^2} =\sqrt{(-3^2)+(-31^2)} =\sqrt{970} =31.14$

For BC

$BC=\sqrt{(-6-5)^2+(-6--18)^2} =\sqrt{(-11^2)+12^2} =\sqrt{265} =16.28$

For CD

$CD=\sqrt{(-2--6)^2+(-5--6)^2} =\sqrt{4^2+1^2} =\sqrt{16+1} =\sqrt{17} =4.12$

For DA

$DA=\sqrt{(8--2)^2+(13--5)^2} =\sqrt{10^2+18^2} =\sqrt{424} =20.6$

Finding the perimeter will be;

31.14+16.28+4.12+20.6=72.14 units

3 0

3 years ago

The diameter of a spherical balloon that is being filled with air is increasing at the rate of 3 inches more than the time, t. W

Harrizon [31]

Answer:

$V=36 \pi$ cubic inches

Step-by-step explanation:

Diameter is increasing at 3 inches more than time, When t = 3

Diameter (d) = 3+3 = 6

d = 6

Radius is HALF of diameter, so

r = 6/2 = 3

Now, the volume of a sphere is given by the formula:

$V=\frac{4}{3}\pi r^3$

Putting r = 3, we get:

$V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}\pi (3)^3\\V=36 \pi$

The volume would be 36π

5 0

2 years ago

Specifications for a piece of material used in the manufacture of a bed mattress require that the piece be between a Lower and U

wolverine [178]

Answer:

Hello a value is missing in your question below is the value

samples of n = 10

answer : 24.63 < μ < 25.370

Step-by-step explanation:

Given :

Sample size = n = 10

Z∝/2 = Z0.0256 = 1.95

next calculate for margin of error

E = Z∝/2 * ( 0.6 / / $\sqrt{10}$ )

= 0.370

therefore at 94.87% confidence interval the estimated population mean is

x - 0.370 < μ < x + 0.370

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2 years ago

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3 years ago

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