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2 months ago

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2 months ago

Let be the amount of salt (in pounds) in the tank at time . We're given that.

The rate at which the amount of salt in the tank changes is given by the ODE

Given that , we find that

so that the amount of salt in the tank is described by

The tank will be filled when , or after minutes. At this time, the amount of salt in the tank is

The rate at which the amount of salt in the tank changes is given by the ODE

Given that , we find that

so that the amount of salt in the tank is described by

The tank will be filled when , or after minutes. At this time, the amount of salt in the tank is

Question

Two men, joel and jerry, push against a wall. jerry stops after 10 min, while joel is able to push for 5.0 min longer. compare the work they do. two men, joel and jerry, push against a wall. jerry stops after 10 min, while joel is able to push for 5.0 min longer. compare the work they do. both men do positive work, but joel does 50% more work than jerry. both men do positive work, but jerry does 50% more work than joel. both men do positive work, but joel does 75% more work than jerry. both men do positive work, but joel does 25% more work than jerry. neither of them does any work.

Solution 1

Work is the product of force and distance. Since the wall doesn't move, the distance and work done are zero. The appropriate choice is the last one:

Â neither of them does any work.

Â neither of them does any work.

Question

What is the slope of the line y = 3?

Solution 1

The slope of a line y = any constant real number is **0**.

Â

This is because the equation y = a number represents a straight horizontal line on a graph.

Â

This is because the equation y = a number represents a straight horizontal line on a graph.

Question

Which set of coordinates, when paired with (3, âˆ’3) and (10, âˆ’3), result in a square? (âˆ’3, âˆ’3) and (âˆ’10, âˆ’3) (3, 10) and (10, 3) (âˆ’3, 4) and (âˆ’10 , 4) (3, 4) and (10, 4)

Solution 1

I believe the answer would be ( 3,4) and (10,4)

Solution 2

**Answer:**

(3,4) and (10,4)

**Step-by-step explanation:**

Question

Which has the smallest value 11 , 0.675,1.23,0.42,1.011

Solution 1

The number with the smallest value is 0.42.

Here are the numbers listed in order from least to greatest.

0.42, 0.675, 1.011, 1.23, 11

The reason has to do with the values of the position of the numbers. All Numbers to the left of the decimal point are whole numbers. Any number with numbers to the left have a whole number which is bigger than any decimal.

To the right of the decimal point the place values gets smaller the further you are to the right.

Compare 0.42 and 0.675

The 4 and 6 are both in the tenths place, therefore 0.42 is the smallest no matter how many more digits either has to the right of that number.

Here are the numbers listed in order from least to greatest.

0.42, 0.675, 1.011, 1.23, 11

The reason has to do with the values of the position of the numbers. All Numbers to the left of the decimal point are whole numbers. Any number with numbers to the left have a whole number which is bigger than any decimal.

To the right of the decimal point the place values gets smaller the further you are to the right.

Compare 0.42 and 0.675

The 4 and 6 are both in the tenths place, therefore 0.42 is the smallest no matter how many more digits either has to the right of that number.

Question

Find an equation of the line passing through the pair of points. Write the equation in the form Ax+ By=C. (3,2) and (5,8)

Solution 1

The equation of the line passing through points (3,2) and (5,8) in the form of Ax+By=C will be written as follows:

equation of the line is given by the formula:

a(x-x1)=y-y1

where a is the slope

a=(y-y1)/(x-x1)

thus using our values:

a=(8-2)/(5-3)=6/2=3

thus the equation of the line will be:

3(x-3)=y-2

simplifying the above and writing in the form of Ax+By=C we shall have:

3x-9=y-2

3x-y=-2+9

3x-y=7

thus 3x-y=7 is in the form of Ax+By=C where A=3, B=-1 and C=7

equation of the line is given by the formula:

a(x-x1)=y-y1

where a is the slope

a=(y-y1)/(x-x1)

thus using our values:

a=(8-2)/(5-3)=6/2=3

thus the equation of the line will be:

3(x-3)=y-2

simplifying the above and writing in the form of Ax+By=C we shall have:

3x-9=y-2

3x-y=-2+9

3x-y=7

thus 3x-y=7 is in the form of Ax+By=C where A=3, B=-1 and C=7

Question

Find an equation of the line described. Write the equation inâ€‹ slope-intercept form when possible. Slope 1â€‹, through (-4,3)

Solution 1

The equation of the line:

The point-slope form of the equation of the line:

We have:

Substitute:

The point-slope form of the equation of the line:

We have:

Substitute:

Question

Write an equation of the line with the givenâ€‹ slope, m, andâ€‹ y-intercept (0,b) m=-3/5 b=7/10

Solution 1

Y=-3/5x+7/10 is the correct answer. y=mx+b

Question

Which has smallest value 0.79 or 0.425

Solution 1

The smallest value is 0.79

Question

Can someone please answer all these please? a) When Lucia buys olives at the deli, the scale shows 0.325 kg at $18.88 per kg. How much should she pay?
b) Johnâ€™s weekly wage is $1510.99 and he pays 2/3 of his weekly income in rent. How much rent does he pay each week?
c) A farmer owns 780 hectares of land. During a bushfire, 195 hectares are burnt. What percentage of his land was burnt?
d) Candles are $14.95 each. Estimate how much I need if I want to buy 17 of them.
Show your working.
e) Decrease 5000 by 13 %.
f) Ray bought a computer for $1600 and then a year later sold it for $1200.
Calculate his loss =
Calculate his loss as a percentage of the original price of the computer =
g) John spent $80 on dinner last Friday night. If this $80 is equal to 40% of his weekly income, calculate his weekly income.
h) Mr Jenkins invested $7500 at his local bank at 6.5% Simple Interest per annum.
What was his investment worth at the end of the first year?
Question 5
a) Express this ratio in lowest terms: 50 minutes : 2 Â½ hours
b) Divide $120 in the ratio 5:7
c) Jane and Ben share in their lottery win in the ratio of 7: 3.
If Janeâ€™s share of the money is $5600, how much does Ben receive?

Solution 1

A) $6.136

b) $997.25

c) 25%

d) $254.15

e) 4350

f) $400, 25% loss

g) $200

h) $7,987,50

5

a) 1min: 3min

b) $50:$70

c) $2400

b) $997.25

c) 25%

d) $254.15

e) 4350

f) $400, 25% loss

g) $200

h) $7,987,50

5

a) 1min: 3min

b) $50:$70

c) $2400

Question

The home of Russell Slater is assessed at $140,000. The tax rate is 11.8 mills. The actual amount of tax on Russell's home is: $1,652
$1,462
$1,362
None of these
$1,562

Solution 1

Number 3 is right i think

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