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ludmilkaskok [199]
3 years ago
11

What is the distance between -8/5 and -3/5 A.-1 B.1 C.11/5 D. -11/5

Mathematics
1 answer:
Maurinko [17]3 years ago
4 0

Answer:

1

Step-by-step explanation:

Subtract the two numbers and take the positive value  ( since distance is positive)

-8/5 - (-3/5)

-8/5 + 3/5

-5/5

-1

Taking the positive value, 1

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For f (x) = x2 - 5, find f (x) when x = 0 and when x = 3<br> f (0) =<br> f (3) =
Bas_tet [7]

Answer:

1 minus 1 is 0

Step-by-step explanation:

1-1 equals 0

7 0
3 years ago
Write (9,-4) and (1,6) in slope intercept form,
vesna_86 [32]

Answer:

y = -5/4x + 7 1/4

Step-by-step explanation:

The difference in y (10) over the difference in x (8)

7 0
2 years ago
A company needs $5,400,000 in 14 years in order to expand their factory. How much should the company invest each week if the inv
ludmilkaskok [199]

Answer: the company should invest $12191 each week

Step-by-step explanation:

The amount that the company needs is $5,400,000

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the weekly payments.

a represents the amount that the company needs

r represents the rate.

n represents number of weekly payments. Therefore

a = 5,400000

There are 52 weeks in a year

r = 0.079/52 = 0.0015

n = 52 × 14 = 728

Therefore,

P = 5400000/[{(1+0.0015)^728]-1}/{0.0015(1+0.0015)^728}]

5400000/[{(1.0015)^728]-1}/{0.0015(1.0015)^728}]

P = 5400000/{2.98 -1}/[0.0015(2.98)]

P = 5400000/(1.98/0.00447)

P = 5400000/442.95

P = $12191

3 0
3 years ago
Find the work done in emptying a cylindrical tank filled with water. The water is being pumped out from the 6 top. The tank has
lutik1710 [3]

Answer:

<em>908360.67 lb-ft</em>

<em></em>

Step-by-step explanation:

height of tank= 6 ft

diameter of the tank = 4 ft

density of water p = 62.4 lbs/ft

A is the cross sectional area of the tank

A = \pi r^{2}

where r = diameter/2 =  4/2 = 2 ft

A = 3.142 x 2^{2} = 12.568 ft^2

work done = force x distance through which force is moved

work = F x d

Force  due to the water = pgAh

where g = acceleration due to gravity = 32.174 ft/s^2

Force  = 62.4 x 32.174 x 12.568 x 6 =  151393.44 lb

work done = force x distance moved

work = 151393.44 x 6 = <em>908360.67 lb-ft</em>

8 0
3 years ago
Miss Lim bought some puzzles for her pupils in the Maths Club. She bought a total
xxMikexx [17]

Answer:

She bought 24 Tangram puzzles

Step-by-step explanation:

Let the number of Tangram puzzles be t and the number of IQ puzzles be i

The sum of all the puzzles is 40;

i + t = 40 ••••••(i)

Cost of all Tangram puzzles at a cost of $4 per one will be;

4 * t = $4t

cost of all Iq puzzles at a cost of $2 per one is

2 * i = $2i

Sum

paid for all is $128

so;

4t + 2i = 128 •••••••(ii)

From equation i;

i = 40-t

Substitute into ii

4t + 2(40-t) = 128

4t + 80 - 2t = 128

2t = 128-80

2t = 48

t = 48/2

t = 24

6 0
2 years ago
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