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2 years ago

Find the equation of this line. Acellus

Mathematics

1 answer:

aalyn [17]2 years ago

8 0

Answer:

Step-by-step explanation:

two points on the line are (-3,-2) and (5,4)

slope=(4+2)/(5+3)=6/8=3/4

eq. of line is

y+2=3/4 (x+3)

4y+8=3x+9

4y=3x+1

y=3/4 x+1/4

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Four gallons of paint are used to paint 25 chairs. If each chair uses the same amount of paint. How many gallons are used to pai

kolbaska11 [484]

4 / 25 = 0.16 gallons per chair.

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3 years ago

If £2000 is placed into a bank account that pays 3% compound interest per year, how much will be in the account after 2 years?

Ray Of Light [21]

Answer:

121.80

Step-by-step explanation:

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3 years ago

Help!! Question on probability. Wi give brainliest!!

Aleks [24]

Answer:

$P = \frac{5}{282} = 0.0177$

Step-by-step explanation:

First we need to find the total amount of apples in the crate:

Total = 10 + 14 + 4 + 18 = 46 apples

The probability of the first apple being a golden delicious apple is the number of those apples over the total number of apples:

$P(golden) = \frac{N(golden)}{N(total)}$

$P(golden) = \frac{4}{48} = \frac{1}{12}$

Then, the probability of the second apple being a granny Smith apple is the number of those apples over the total number of apples, but now the total number of apples is one less, because one apple was removed from the crate:

$P(granny) = \frac{N(granny)}{N(total)-1}$

$P(granny) = \frac{10}{47}$

The final probability we want is the product of those two probabilities:

$P = P(golden) * P(granny) = \frac{1}{12} \frac{10}{47} = \frac{10}{564} = \frac{5}{282}= 0.0177$

7 0

3 years ago

4x−4<8 AND 9x+5>23 Solve for X.

siniylev [52]

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3 years ago

The position function for a free-falling object is s(t) = -16t^2 + vt +5. A ball is thrown upward from the top of a 400-foot bui

mixer [17]

Answer:

6.21 seconds

Step-by-step explanation:

The position function of a free-falling object is,

$s(t) = -16t^2+v_0t+s_0$

Where,

$s_0$ = initial height of the object,

$v_0$ = initial velocity of the object,

Here,

$s_0=400\text{ feet}$

$v_0=35\text{ feet per sec}$

Hence, the height of the ball after t seconds,

$s(t)=-16t^2+35t+400$

When s(t) = 0,

$\implies -16t^2+35t+400=0$

$t=\frac{-35\pm \sqrt{35^2-4\times -16\times 400}}{2\times -16}$

$t=\frac{-35\pm \sqrt{1225+25600}}{-32}$

$\implies t\approx -4.02\text{ or }t\approx 6.21$

∵ Time cannot be negative,

Hence, after 6.21 seconds the ball will reach the ground.

4 0

3 years ago