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Answer:

600 pounds of gunk

Step-by-step explanation:

Given data:

Initial volume of water = 200 gallons

Initial mass of gunk = 100 pounds

dumping rate of pipe( contaminated water into tank ) = 16 gallons per minute

concentration of Gunk = 0.6 pounds / gallon

removal rate of second pipe = 14 gallons per minute

Determine how much gunk will be in the tank when the tank is full

Amount of gunk when tank is full = 599.99 pounds ≈ 600 pounds ≈

Attached below is a detailed solution

Step-by-step explanation:

the answer is GH, the can be the only answer

Answer:

Using substitution method

x=2

y=3

Answer:no it would be 4

Step-by-step explanation:

Answer:

[tex] ln \: {x}^{ \sqrt{3} } = \sqrt{3} \: ln(x) [/tex]

We can write by power property of logarithm that [tex]logx^{\sqrt{3}}=\sqrt{3} logx[/tex]

A logarithm is the power to which a number must be raised in order to get some other number

We need to use the Property of Logarithms to write the logarithm as a product[tex]logx^{\sqrt{3}}[/tex]

We have a power property of logarithm that [tex]loga^{b} =bloga[/tex]

So Given logx to the power of root three

Here consider x as a and b as root 3.

[tex]logx^{\sqrt{3}}=\sqrt{3} logx[/tex]

Hence, We can write by power property of logarithm that [tex]logx^{\sqrt{3}}=\sqrt{3} logx[/tex]

To learn more on Logarithms click:

https://brainly.com/question/28346542

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Answer:

Same Class lol

Step-by-step explanation:

Answer:

The formula to generate 70% confidence interval is: [tex][\overline{x} - 0.013, \overline{x} + 0.013][/tex], in which [tex]\overline{x}[/tex]  is the sample mean.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.7}{2} = 0.15[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.15 = 0.85[/tex], so Z = 1.037.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz.

This means that [tex]\sigma = 0.04[/tex].

Sample of 10 birds:

This means that [tex]n = 10[/tex].

The margin of error is of:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.037\frac{0.04}{\sqrt{10}}[/tex]

[tex]M = 0.013[/tex]

The lower end of the interval is the sample mean of [tex]\overline{x}[/tex] subtracted by M.

The upper end of the interval is the sample mean of [tex]\overline{x}[/tex] added to M.

Then, the formula to generate 70% confidence interval is: [tex][\overline{x} - 0.013, \overline{x} + 0.013][/tex], in which [tex]\overline{x}[/tex]  is the sample mean.

Area of both the triangles :

= ½ × base × prepenicular

= ½ × 3 × 4

= 3 × 2

= 6 × 2 = 12 ( We have two triangles)

Area of semicircle :

= πr²/2

= 3.14 × 3 × 3 /2

= 28.26/2

= 14.13

Total area = 12 + 14.13 = 26.13 = 26.130

Step-by-step explanation:

B.12x + 1

if it helps brainiest lol

Answer:

D

Step-by-step explanation:

All you do is count the values from 0 to 3 which there are 5 of and only D shows that (I got the remaining answer choices from your profiles other question showing the remaining answers)

Answer:

D is the answer

Step-by-step explanation:

All you do is count the values from 0 to 3 which there are 5 of and only D shows that (I got the remaining answer choices from your profiles other question showing the remaining answers)

Given:

The terms of a sequence are:

[tex]-6,-\dfrac{11}{2},-5[/tex]

To find:

The number of terms whose sum is -25.

Solution:

We have, the given sequence:

[tex]-6,-\dfrac{11}{2},-5[/tex]

Here, the first term is -6.

[tex]-\dfrac{11}{2}-(-6)=-5.5+6[/tex]

[tex]-\dfrac{11}{2}-(-6)=0.5[/tex]

Similarly,

[tex]-5-(-\dfrac{11}{2})=-5+5.5[/tex]

[tex]-5-(-\dfrac{11}{2})=0.5[/tex]

The difference between consecutive terms are same. So, the given sequence is an arithmetic sequence with common difference 0.5.

The sum of n terms of an arithmetic sequence is:

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

Where, a is the first term, d is the common difference.

Putting [tex]S_n=-25,a=-6,d=0.5[/tex], we get

[tex]-25=\dfrac{n}{2}[2(-6)+(n-1)0.5][/tex]

[tex]-50=n[-12+0.5n-0.5][/tex]

[tex]-50=-12.5n+0.5n^2[/tex]

[tex]0=0.5n^2-12.5n+50[/tex]

Splitting the middle term, we get

[tex]0.5n^2-2.5n-10n+50=0[/tex]

[tex]0.5n(n-5)-10(n-5)=0[/tex]

[tex](0.5n-10)(n-5)=0[/tex]

Using zero product property, we get

[tex](0.5n-10)=0[/tex] and [tex](n-5)=0[/tex]

[tex]n=\dfrac{10}{0.5}[/tex] and [tex]n=5[/tex]

[tex]n=20[/tex] and [tex]n=5[/tex]

Therefore, the sum of either 5 or 20 terms is -25.

Answer:

E, 5, 3

Step-by-step explanation:

We just need to connect the rectangle with dots equally placed.

Answer:

-14

Explanation:

3 x -3 - 5 = -14

Answer:

-14, -5, 4, and 13

Step-by-step explanation:

For each x value, substitute it for x in the equation.

For the first one where x = -3,

y = 3(-3) - 5

y = -9 - 5

y = -14

So the first one is -14. The next x value is 0

y = 3(0) - 5

y = 0 - 5

y = -5

Second one is -5. The next x value is 3

y = 3(3) - 5

y = 9 - 5

y = 4

Third is 4. The next x value is 6

y = 3(6) - 5

y = 18 - 5

y = 13

So the last one is 13.

9514 1404 393

Answer:

  y = -5x +13

Step-by-step explanation:

We know from the slope-intercept equation ...

  y = mx + b

that the y-intercept b can be found as ...

  b = y - mx

Filling in the given values of m and (x, y), we find ...

  b = -2 -(-5)(3) = 13

Then the equation is ...

  y = -5x +13

Answer:12

Step-by-step explanation: i found the answer on another brainly account

ps: i hope you pass

Answer: [tex]\$11.5[/tex]

Step-by-step explanation:

Given

Demand function is [tex]p=22-2q[/tex]

The average cost function is [tex]c=2+q[/tex]

Total revenue is the product of demand and the price per unit.

[tex]r=\left(22-2q\right)q[/tex]

Profit is given by the difference of the total revenue and the cost

[tex]\Rightarrow P=r-c\\\Rightarrow P=22q-2q^2-2-q\\\Rightarrow P=-2q^2+21q-2[/tex]

Find the derivative of profit to get the maximum profit

[tex]\Rightarrow P'=-4q+21\\\text{Put the derivative equal to 0 to get the maximum profit}\\\\\Rightarrow q=\dfrac{21}{4}[/tex]

Put q in the equation of demand to get the price

[tex]\Rightarrow p=22-2\times \dfrac{21}{4}\\\\\Rightarrow p=22-10.5\\\Rightarrow p=\$11.5[/tex]

Answer:

10 ml of 10%

30 ml of 50%

Step-by-step explanation:

x = amount of 10%

40 - x = amount of 50%

-------------------------------------

10x + 50(40 - x) = 40(40)

10x + 2000 - 50x = 1600

-40x + 2000 = 1600

-40x = -400

x = 10 ml of 10%

40 - x = 30 ml of 50%

Answer:

6.5

Step-by-step explanation:

10x = 65

x = 65/10

x = 6.5

Answer:

x=6.5

Step-by-step explanation:

So our equation is:

10x-10=55

The first thing we can do to find x is get it alone. We can do this by getting rid of the number value 10:

10x=65

Next we can divide both sides by 10 to get rid of the x value 10, so x is alone:

x=65/10

=

x=6.5

So your answer is 6.5

Hope this helps!

Answer:

The area of AEBC is 36 cm²

hope it is helpful to you

Answer: tens

Step-by-step explanation: after ones comes tens, before ones comes decimal point

Answer:

O V=3(10XB)(12)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Identify the input values. Identify the output values. If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.

Answer:

13 - 10x

= -3x

hope it helps