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IgorLugansk [536]
3 years ago
8

Write in slope intercept for slope being -5/7 and passes through (-4,-5)

Mathematics
1 answer:
frutty [35]3 years ago
4 0

Answer:

y = -5/7x - 55/7

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define

Slope <em>m</em> = -5/7

Random point (-4, -5)

y = -5/7x + b

Step 2: Find y-intercept <em>b</em>

-5 = -5/7(-4) + b

-5 = 20/7 + b

b = -55/7

Step 3: Write linear equation

y = -5/7x - 55/7

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Darin has 5 coins that the total 62%. What are the coins?
Snowcat [4.5K]
Hi there!

There are several possible options.

A main one would be : 10 DIMES and 2 PENNIES

Other ones could be :

2 quarters
1 dime
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62 pennies

12 nickels
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and more !

Hope this helps !
5 0
3 years ago
How many cylinder containers that are the same height and have the same base area would these three henna cones fill up?
Ivan

Answer:

10

Step-by-step explanation:

7 0
3 years ago
Demand The demand function for the product is given by
DiKsa [7]

Answer:

(a) 2996 units

(b) 1897 units

Step-by-step explanation:

p = 10,000(1 - 3/3 + e^-0.001x)

(a) p = $500

500 = 10,000(1 - 1 + e^-0.001x)

500/10,000 = e^-0.001x

e^-0.001x = 0.05

-0.001x = In 0.05 = -2.996

x = -2.996/-0.001 = 2996 units

(b) p = $1500

1500 = 10,000(1 - 3/3 + e^-0.001x)

1500/10,000 = (1 - 1 + e^-0.001x)

0.15 = e^-0.001x

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8 0
3 years ago
You are downsizing. Your new residence will have much less closet space than does your current home. You have 12 pair of long pa
harkovskaia [24]

Answer:

a) there are 7,854,000 number of ways the random selections can be arranged

b) the required probability is 0.0445

Step-by-step explanation:

Given that;

you have 12 pair of long pants, 6 pair of short pant and 17 t-shirt which in total;

Total = 12 + 6 + 17 = 35

a) number of ways a random selection of 9 pair of long pants, 4 pair of short pants and 13 t-shirts can be arranged;

⇒ [ 12   ×    [ 6     ×    [ 17

     9 ]          4 ]           13 ]

= (12! / (9! 3!)) (6! / (4! 2!)) (17! / (13! 4!))

= (220) (15) (2380)

= 7,854,000

Therefore there are 7,854,000 number of ways the random selections can be arranged

b)

Number of ways of selecting 25 item from 35 items;

⇒ [ 35        

    25 ]

=

(35! / (25! 10!) = 183.579,396

now number of ways to select 10 pair of long pants, 3 pairs of short pantts and 12 t-shirt;

⇒ [ 12   ×    [ 6     ×    [ 17

     10 ]         3 ]           12 ]

= (12! / (10! 2!)) (6! / (3! 3!)) (17! / (12! 5!))

= (66) (20) (6188)

= 8,168,160

So, Required probability = 8,168,160 / 183,579,396

= 0.0445

So the required probability is 0.0445

5 0
3 years ago
1.The height and radius are the same in both cylinders. Which cylinder has the greatest volume?
natulia [17]
Problem One
This is one of those questions that you might think is silly until you try it for yourself or you read about it.

The thing you have to understand, which is not well stated, is that oblique cylinders have circles on the top and bottom. You guys (in the United States) still have pennies, don't you? Take 10 or twelve of them and  make a stack where each penny sticks out 1/16 of an inch from the edge of the penny below it. I can't draw it I don't think (even my stick men look like someone who can't hold a pencil drew them), but maybe I can find a picture or you can. 


Got it. 

So the oblique cylinder has a circle on the top and bottom, just the way the pennies do when you stack them like the cylinder below. Then you can stack them like a soup can. Did anything change? No

The correct answer is (drum roll please) <<<<<<< <em>They are the same volume.


</em>Problem 2
<em />Suppose you have a glass whose sides are straight up and down (a right cylinder with no top). You fill the glass with water. Stop a moment to consider this. Now magically  you place a plain right through the middle of the glass. 

Question: is there any difference between the shape of the plain at the top of the glass than that shape at the middle? (You should answer that they are the same shape -- a circle --  at both the top and middle of the glass).

If you caught on, you would have said that the shapes are the same in your question.

Hexagon <<<<<<<<<< answer.

7 0
3 years ago
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