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3 years ago

Given a slope of 1/2 and a y-intercept of -4. What is the equation of the line in slope intercept form?

Mathematics

1 answer:

Natali5045456 [20]3 years ago

3 0

Answer:y=\frac{1}{2} x-4

Step-by-step explanation:

Slope intercept form of the equation of a line is y = mx+b where m is the slope and b is the y intercept. Plugging in 1/2 for m and -4 for b gives y = 1/2x + (-4) then simplifying adding a negative means subtracting.

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What two numbers does the product of 1,486 ÷ land on

MrMuchimi

743 times 2 (or doubled) = 1,482 Hope this helps:)

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3 years ago

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An electronics retailer receives a shipment of 6,000CDs to distribute to its stores. A quality control manager inspects a random

Alex17521 [72]

Answer: 300

Step-by-step explanation:

Given , An electronics retailer receives a shipment of 6,000CDs to distribute to its stores.

i.e, Total CD's he has now = 6,000

Also, a quality control manager inspects a random sample(S) of 40CD's , the number of defective(D) CD's are 2.

Then , the proportion of defective( D) CD's = $\dfrac{D}{S}=\dfrac{2}{40}=0.05$

Now , the number of CDs in the shipment are likely to be defective = ( Total CD's) x (proportion of defective CD's)

= 6000 x 0.05

=300

Hence, the number of CDs in the shipment are likely to be defective =300

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3 years ago

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I need help with this work

STatiana [176]

Answer:

G. 245.04cm²

Step-by-step explanation:

The shortest way to solve this problem would be:

total surface area = 2 * π * r² + (2 * π * r) * h

total surface area = 2 * π * r * (r + h).

Diameter = 6

Radius = 3

Height = 10

The radius is half the diameter

TSA = Total surface area

TSA = 2 π 3(3+10)

TSA = (2)(3.141593)(3)(3+10)

TSA = (6.283185)(3)(3+10)

TSA = 18.849556(3+10)

TSA = (18.849556)(13)

TSA = 245.044227

TSA = 245.04

Or you could do the longer way, which would be:

Step 1: Find the surface area of the curved part of the cylinder

Surface Area (Curved) = 2 x π x Radius x Height

Step 2: Find the surface area of the two ends of the cylinder

Surface Area (Ends) = 2 x π x Radius²

Step 3: Add the surface are of the curved part to the surface area of the ends

Surface Area (Total) = Surface Area (Curved) + Surface Area (Ends)

For the cylinder in the picture:

A cylinder has a height of 10 and a diameter of 6

Hence, Radius = d/2 = 6/2 = 3 cm

Surface Area (Curved) = 2 x pi x 3 x 10

Surface Area (Curved) = 188.495559

Surface Area (Ends) = 2 x pi x 3²

Surface Area (Ends) = 2 x pi x 25

Surface Area (Ends) = 56.548668

Surface Area (Total) = 245.044227

245.04 is the result of rounding 245.044227 to the nearest hundredth

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2 years ago

5x+11=-3x+35 i need help solve for x

vaieri [72.5K]

Answer:

x = 3

Step-by-step explanation:

Let's solve your equation step-by-step.

5x + 11 = -3x +35

Add 3x to both sides.

5x + 11 + 3x = -3x + 35 + 3x

8x + 11 = 35

Subtract 11 from both sides.

8x + 11 - 11 = 35 - 11

8x = 24

Divide both sides by 8.

$\frac{8x}{8} = \frac{24}{8}$

x = 3

So therefore, that is how you found your answer: x = 3

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3 years ago

A bakery has 42 donuts and 24 muffins for sale. What is the ratio of muffins to donuts

Lana71 [14]

The ration is 12 muffins to every 21 donuts

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