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The change in volume per minute and the total change in the volume of the solution after 10 minutes will be [tex] - 3 \frac {1}{20} \: litres [/tex] and [tex]- 30 \frac {1}{2} \: litres [/tex] respectively.

Change in the volume of solution in the tank per minute can be calculated thus :

The total change in the volume of solution in the tank after 10 minutes can be calculated thus :

Therefore, the solution in the tank decreases by [tex] 30 \frac {1}{2} \: litres [/tex] after 10 minutes

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Answer:

≈ 589 cm²

Step-by-step explanation:

area = 1/2 * 39 * 54 * sin34°

        = 1/2 * 39 * 54 * 0.559194

        = 588.83

        ≈ 589

Answer:

(1, -2)

Step-by-step explanation:

multiply each coordinate by 1/4. since the numerator is 1, you really just need to divide each number by 4.

6 14 miles in 5 days.

In 1 day Tom rides 6 14/5 = 1 228 miles

1 week has 7 days

5 weeks have 35 days

1 day Tom rides 1 228 miles

35 days Tom rides for 1 228 * 35 = 42 98miles.

94

Answer:

1 hour equals 18 bucks

144 divided by 18 equals 8 so she works for 8 hours to get 144 bucks

Step-by-step explanation:

144 divided by 18 equals 8

f ' (0) exists if the limit,

[tex]\displaystyle \lim_{h\to0}\frac{f(0+h)-f(0)}h[/tex]

exists, and f ' (0) has the value of this limit.

In order for this limit to exist, both limits from either side of h = 0 must exist.

Suppose h < 0. Then 0 + h is also negative, so by definition of f(x) we have

f (0 + h) = ((0 + h) + 1)² = h ² + 2h + 1

Then in the limit, if h is approaching 0, it must be from below or from the left:

[tex]\displaystyle \lim_{h\to0^-}\frac{f(0+h)-f(0)}{h} = \lim_{h\to0^-}\frac{(h^2+2h+1)-1}{h} = \lim_{h\to0^-}(h+2) = 2[/tex]

Now suppose h > 0, so that 0 + h is positive and h approaches 0 from above or from the right. Then

f (0 + h) = 2 (0 + h) + 1 = 2h + 1

and

[tex]\displaystyle \lim_{h\to0^+}\frac{f(0+h)-f(0)}h = \lim_{h\to0^+}\frac{(2h+1)-1}{h} = \lim_{h\to0^+}2 = 2[/tex]

Both one-sided limits match, so f ' (0) = 2.

Answer: ite will be 3 bc i done that all ready

Step-by-step explanation:

The number of individuals that work for the company is 272 workers.

Given,

The Parker company employs 68 part-time workers.

This represents 4% of the total workforce.

We need to find out how many individuals work for the company.

Percentage is a fraction or a ratio in which the value of whole is always 100.

Find the total workforce.

Total workforce = 100%

We have,

4% = 68 workers

Multiply 25 on both sides.

25 x 4% = 4 x 68 workers

100% = 272 workers.

This means the number of individuals that work for the company is 272 workers.

Thus the number of individuals that work for the company is 272 workers.

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Answer:

In order to calculate the slope, you'll need 2 ordered pairs (x, y).

The formula for calculating the slope is:

[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

where m = slope

(x1, y1) = first ordered pair

(x2, y2) = second ordered pair

Regardless of which values for the (x1, y1) and (x2, y2) you choose, you would still end up with the same slope (as long as it's done correctly).

As an example, let's say you have the following set of points:

(2, 4) (8, 1)

Let (x1, y1) =  (2, 4)

     (x2, y2) = (8, 1)

Plug these values into the slope formula:

[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

[tex]m = \frac{1 - 4}{8 - 2} = \frac{-3}{6} = -\frac{1}{2}[/tex]

Therefore, the slope of the line is - 1/2.

To prove that you'll end up with the same value for the slope:

This time, let (x1, y1) =  (8, 1)

                     (x2, y2) = (2, 4)

[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

[tex]m = \frac{4 - 1}{2 - 8} = \frac{3}{-6} = - \frac{1}{2}[/tex]

Therefore, the value of the slope is still -1/2.

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Answer:

B

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

9×50=450

have a good day

Answer:

To find 3,500 by near to 3,550

Step-by-step explanation:

the nearest number of 3,500 is 3,500

Step-by-step explanation:

6, 11, 16,__21__, 25, ...

Hope it helps ya

Answer:

A,D and E

Step-by-step explanation:

Answer:

A right triangle needs to have all the sides of the same length. Since this obviously does not, it is not a right triangle. Infact, this is a scalene triangle because all of its sides are unequal.

Answer:  $24

Step-by-step explanation:

40 * .60 = $24

Answer: D

Step-by-step explanation: i did this

Answer:

Step-by-step explanation:

The line parallel to the x-axis has same coordinate for any value of x. The slope is zero.

This line has the form:

The only option with similar form is C

Answer:

mkkkmnsine kgsk jtb jgjdb Geeta kl John ku

Step-by-step explanation:

Answer. Finding the missing side of a right triangle is a pretty simple matter if two sides are known. One of the more famous mathematical formulas is a2+b2=c2 a 2 + b 2 = c 2 , which is known as the Pythagorean Theorem.

Answer 8

Step-by-step explanation:

Answer:

Where is the expression

Answer:

Its c :)

Step-by-step explanation:

plato

Answer:

x = 1

Step-by-step explanation:

49=7^x+1

Let's take the log of both sides

(x+1)*(log(7))=log(49)

x + 1  = log (49) / log (7)

x + 1 = 2

subtract 1 from both sides

x = 1

Step-by-step explanation:

the key is x = 0.

also I see in the first table no "run-away" effect of some values, so my first suspicion is : it is linear.

let's test it.

a linear function is a line :

y = ax + b

remember, x = 0 is a key element.

y = a×0 + b

-3 = a×0 + b

-3 = b

so, we know, the line function is

y = ax - 3

now, for the a. let's use the next xy pair (1, 1).

1 = a×1 - 3

4 = a

aha ! our line function is therefore

y = 4x - 3

verify with the next 2 points (2, 5) and (3, 9)

5 = 4×2 - 3 = 5 correct

9 = 4×3 - 3 = 9 correct

linear type and equation confirmed.

the second table :

yes, we see relatively big y values compared to the x values.

and the y values follow the powers of 2

so it seems to to be exponential.

64 = 2⁶

32 = 2⁵

16 = 2⁴

8 = 2³

so, while x increases, the powers of 2 decrease. so, we must build something like y = 2^x, but it must run contrary to the increase in x.

the old trick : c-x.

again, x= 0 is key. when x = 0 we get the biggest y (64). that means that gives us c.

64 = 2^(c-x) = 2^(c-0) = 2^c = 2⁶

=> c = 6

so, we suspect the exponential function

y = 2^(6-x)

let's verify with the other points

(1, 32)

32 = 2^(6-1) = 2^(5) = 32 correct

(2, 16)

16 = 2^(6-2) = 2^(4) = 16 correct

(3, 8)

8 = 2^(6-3) = 2^(3) = 8 correct

so, yes, it is the exponential function

y = 2^(6-x)

Answer:

3, 4 , 5 , 6 is your answer.

I HOPE IT WILL HELP YOU.

Thank you.

TEDDYLOVER....

Answer:

75.02 ft and 64.62 ft.

Answer:

15 hours

Step-by-step explanation:

Let h = numbers of hour worked, x = tips, t = Thomas' pay, and m = Marie's pay

We can set up an equation for this question:

t = 4h + x

Now plug in 120 for x

t = 4h + 120

Now we set up Marie's pay:

m = 12h

Since Thomas and Marie made the same amount of money over the same number of hours, we can say:

4h + 120 = 12h

       120 = 8h

           h = 15

This means they both worked for 15 hours.

Answer:

Angle, Lengths

Step-by-step explanation:

Angle measurements and segment lengths are preserved as the transformations neither change the scale factor nor change the angle measurements