A fish tank contains red and yellow fish. Two thirds of the fish are rod and the others aro


yellow. A quarter of the red fish are venomous and a third of the yellow fish are venomous


The rest of the fish are not venomous.


What proportion of the venomous fish are red

Area = ∫[from -1 to 5] (x - 1 - √(2x + 6)) dx. The area enclosed by the line y = x - 1 and the parabola y^2 = 2x + 6 can be found by calculating the definite integral of the difference between the two curves over the interval where they intersect.

Let's denote the points of intersection as A and B, where the line and the parabola intersect.

To find the points of intersection, we can equate the equations of the line and the parabola:

x - 1 = √(2x + 6)

Squaring both sides:

x^2 - 2x + 1 = 2x + 6

Rearranging:

x^2 - 4x - 5 = 0

Factoring:

(x - 5)(x + 1) = 0

So, the line and the parabola intersect at x = 5 and x = -1.

To find the area enclosed between the two curves, we integrate the difference between the line and the parabola over the interval from x = -1 to x = 5:

Area = ∫[from -1 to 5] (x - 1 - √(2x + 6)) dx

Evaluating this integral will give us the area enclosed by the line and the parabola.

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The function which represents the cost to drive a car from this agency miles x a day is :

C(x) = 15, if 0 ≤ x ≤ 200

      = 15 + 0.05x, if x > 200

Given that,

A car rental agency charges $15 a day for driving a car 200 miles or less.

The function can be written as,

C(x) = 15 if 0 ≤ x ≤ 200

If a car is driven over 200 miles, the renter must pay $0.05 for each mile over 200 driven.

C(x) = 15 + 0.05x, if x > 200

Hence the correct option is D.

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Step-by-step explanation:

\(\huge{\underline{\underbrace{\mathcal\color{gold}{Answer}}}}\)

one flower pot can fill=30g

we have 9kg=9000g.

so,

9kg soil fill=

\(\rightsquigarrow\) \(\tt{\dfrac{9000}{30} }\) ⠀

\(\rightsquigarrow\) \(\tt{ \dfrac{\cancel{9000}}{\cancel{30}} }\) ⠀

\(\rightsquigarrow\) \(\tt{300 }\) ⠀

so,

300 pieces 30g flower pot can pack 9kg soil.

Answer:

x ≈ 11.6 m

Step-by-step explanation:

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

x² + 10.7² = 15.8²

x² + 114.49 = 249.64 ( subtract 114.49 from both sides )

x² = 135.15 ( take square root of both sides )

x = \(\sqrt{135.15}\) ≈ 11.6 m ( to the nearest tenth )

Answer:

The equation used to solved to determine the dimensions of the backyard is 51 = 4w - 10.4

Step-by-step explanation:

As given,

The backward is rectangular in shape

Also , we know that

Area of rectangle = 2 ( Length + Breadth )

Also, given,

Breadth of the backyard = 5.2 + Length of the backyard

Let

length of the backyard = l

Breadth of the backyard = w

∴ we get

w = 5.2 + l

⇒l = w - 5.2

and

Area = 2 ( l + w)

⇒51 = 2( w - 5.2 + w)

⇒51 = 2 ( 2w - 5.2)

⇒51 = 4w - 10.4

So, the equation used to solved to determine the dimensions of the backyard is 51 = 4w - 10.4

By solving we get

4w = 51 + 10.4

⇒4w = 61.4

⇒w = \(\frac{61.4}{4}\) = 15.35

⇒ w = 15.35

⇒ l = w - 5.2 = 15.35 - 5.2 = 10.15

⇒l = 10.15

So the dimensions of the backyard = l × b = 10.15 m × 15.35 m

Answer:

7/36

Ask me if you need the steps (:

The linear functions of the scenario are y = 12x and y = 24/2x

From the question, we have the following parameters that can be used in our computation:

(1, 12) and (2,24)

From the question, we understand that the function is a linear function

A linear function is represented as

y = mx + c

Using the above as a guide, we have the following equations

m + c = 12

2m + c = 24

Subtract the equations

m = 12

Substitute 12 for m in m + c = 12

12 + c = 12

Evaluate

c =0

So, the equation is y = 12x

An equivalent equation is y = 24x/2

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Answer:

Step-by-step explanation:

To find the cost of 1 pound of bananas we use ratio and proportion

From the question

3 pounds of bananas costs $7

Then 1 pound will cost

\( \frac{7 \times 1}{3} = \frac{7}{3 } \\ = 2.33333...\)

We have the final answer as

Hope this helps you

50 pennies. 30 nickels. 80 coins in total.

Answer:

80 coins

Step-by-step explanation:

nickels =  3 of every 8 coins   (5+3 =8)

30 nickels

30/3 = 10 x 8 = 80 coins

50 pennies to 30 nickels

Answer:

Yes

Step-by-step explanation:

Step-by-step explanation:

US nickels are .077  inches thick per nickel

1250 ft = 1250  ft * 12 inches / ft = 15 000 inches

15000 inches /  ( .077 in / nickel ) =

        194 805  nickels  ( stacked on their flat sides) equals the Empire State building

Answer:

-4

Step-by-step explanation:

ok negative times negative = positive

and factors of 24 are

1,2,3,4,6,8,12,24

4 x 6 are the two consecutive EVEN numbers

so turn it to negative

-4 x -6 = 24

The largest is -4

A regular linear regression model is statistically helpful in providing a good fit to the information that can be used to make precise predictions about new information agendas.

A linear regression model is useful when the explanation of a significant amount of variation of the dependent variable utilizes one or more independent variables. The usability of a linear regression model can be comprehended by examining various statistical measures for instance

R-squared value of 1 shows that all of the changes in the dependent variable are elaborated by the independent variable, Hence, an R-squared value of 0 points that none of the variations is elaborated

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Answer:

The answer is 6

Step-by-step explanation:

60-36-18=6

Answer:

10$-7$=3$

Step-by-step explanation:

Answer:

7+y=10

Step-by-step explanation:

7+y=10

y=10-7

y=3

7+3=10

Answer:

It has no solution.

Answer:

Actually i think it does have a solution, if it does it would be a=1/4, 3

If i'm wrong i am very sorry..... So, if that not right then your answer is that it has no solution.....

Stay safe and have a Merry Christmas!!!!!!! :D

Step-by-step explanation:

x = number of visits.

so, $20 per visit plus the $275 basic one time fee (which she has to pay no matter how many visits she will make, even 0 visits).

therefore it is

y = 20x + 275

The balance in the account of Jayden after 5 years will be $3,886.27.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

Jayden invests $2,644.93 in a retirement account with an interest rate of 8% compounded annually. Then the amount after 5 years is calculated as,

A = $2,644.93 x (1 + 0.08)⁵

A = $2,644.93 x (1.08)⁵

A = $2,644.93 x 1.469

A = $3,886.27

The balance in the account of Jayden after 5 years will be $3,886.27.

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Answer:

4/7

Step-by-step explanation:

ajsgskajsgsujavagajana ahakangssua

The probability of the complement of event A P(Ac), which is the event of a place to not be a city, is 4/7. Option C is correct.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A place from this table is chosen at random. Let event A= the place is a city.

The total number of places are 7 given in the table.There are total three places which are city. Thus, the probability of a country to be a city is,

\(P(A)=\dfrac{3}{7}\)

Now, for its complement, the probability of a place not be a city is,

\(P(A^c)=1-\dfrac{3}{7}\\P(A^c)=\dfrac{7-3}{7}\\P(A^c)=\dfrac{4}{7}\)

Thus, the probability of the complement of event A P(Ac), which is the event of a place to not be a city, is 4/7. Option C is correct.

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Answer:71

Step-by-step explanation:

Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.

Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.

The total amount of paint needed is 3 gallons, so we have the equation:

x + y = 3

The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:

(80/100)x + (30/100)y = (50/100)(x + y)

Simplifying this equation, we get:

0.8x + 0.3y = 0.5(x + y)

Now, we can solve this system of equations to find the values of x and y.

Let's multiply both sides of the first equation by 0.3 to eliminate decimals:

0.3x + 0.3y = 0.3(3)

0.3x + 0.3y = 0.9

Now we can subtract the second equation from this equation:

(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)

-0.5x = 0.9 - 0.5x - 0.5y

Simplifying further, we have:

-0.5x = 0.9 - 0.5x - 0.5y

Now, rearrange the equation to isolate y:

0.5x - 0.5y = 0.9 - 0.5x

Next, divide through by -0.5:

x - y = -1.8 + x

Canceling out the x terms, we get:

-y = -1.8

Finally, solve for y:

y = 1.8

Substitute this value of y back into the first equation to solve for x:

x + 1.8 = 3

x = 3 - 1.8

x = 1.2

Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

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The distance of a point (x,y) from y-axis is the absolute value of the x-coordinate of the point. The distance of the point 5/12 from y-axis is 5/12.

To calculate the distance of the point 5/12 from y-axis, we can use the distance formula:

Distance = √(x2 – x1)2 + (y2 – y1)2

In the given problem, we assume the origin (0,0) as the point on the y-axis and the point (5/12, 0) as the given point. We need to calculate the distance between the two points.

Distance = √(x2 – x1)2 + (y2 – y1)2

Distance = √(5/12 – 0)2 + (0 – 0)2

Distance = √(5/12)2

Distance = 5/12

Therefore, the distance of the point 5/12 from y-axis is 5/12.

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The absolute error is 2 ounces, and the relative error is approximately 11.76%.

The absolute error is the difference between the claimed weight and the true weight of the steak, which is:

Absolute error = |15 - 17| = 2 ounces

The relative error is the absolute error divided by the true weight of the steak, which is:

Relative error = (2/17) x 100% = 11.76%

So, the absolute error of the claimed weight is 2 ounces, and the relative error is 11.76%.

To find the absolute error, you'll need to subtract the true value (17 ounces) from the claimed value (15 ounces):

Absolute error = |True value - Claimed value| = |17 - 15| = 2 ounces

Now, to find the relative error, you'll divide the absolute error by the true value, and then multiply by 100 to get a percentage:

Relative error = (Absolute error / True value) x 100 = (2 / 17) x 100 ≈ 11.76%

So, the absolute error is 2 ounces, and the relative error is approximately 11.76%.

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Answer:

7 (2.5) (9)

157.5

Answer:

157.5

Step-by-step explanation:

1) Substitute the values of x and y into the equation

We given a question like this the first thing we have to do is to put the values you are given into the equation!

The brackets mean the same as multiply so to write it down properly it would be 7 × 9 × 2.5

2) Solve

We have the final equation so now we just have to carry it out...

Hope this helps, have a great day!!

The evaluation of  (2-a)³+(2-b)³+(2-c)³-3(2-a)(2-b)(2-c) is mathematically given as

a^3+3 a b c-b^3-c^3+6 a^2-6 a b-6 a c+6 b^2-6 b c+6 c^2

This is further explained below.

(2-a)^3+(2-b)^3+(2-c)^3-3(2-a)(2-b)(2-c)

Use the Binomial Theorem.

2^3+3 * 2^2(-a)+3*2(-a)^2+(-a)^3 +(2-b)^3+(2-c)^3  -3(2-a)(2-b)(2-c)

8-12 a+6 a^2-a^3+(2-b)^3+(2-c)^3 -3(2-a)(2-b)(2-c)

Use the Binomial Theorem.

8-12 a+6 a^2-a^3+2^3+3 * 2^2(-b)+3 * 2(-b)^2+(-b)^3+(2-c)^3-3(2-a)(2-b)(2-c)

8-12 a+6 a^2-a^3+8-12 b+6 b^2-b^3 +(2-c)^3-3(2-a)(2-b)(2-c)

Use the Binomial Theorem.

8-12 a+6 a^2-a^3+8-12 b+6 b^2-b^3+2^3+3 \cdot 2^2(-c)+3 \cdot 2(-c)^2+(-c)^3-3(2-a)(2-b)(2-c)

8-12 a+6 a^2-a^3+8-12 b+6 b^2-b^3 +8-12 c+6 c^2-c^3-3(2-a)(2-b)(2-c)

Apply the distributive property.

8-12 a+6 a^2-a^3+8-12 b+6 b^2-b^3+8-12 c+6 c^2-c^3+(-3 * 2-3(-a))(2-b)(2-c)

Multiply -3 by 2 .

&8-12 a+6 a^2-a^3+8-12 b+6 b^2-b^3+8-12 c+6 c^2-c^3 +(-6-3(-a))(2-b)(2-c)

Multiply -1 by -3.

8-12 a+6 a^2-a^3+8-12 b+6 b^2-b^3 +8-12 c+6 c^2-c^3 +(-6+3 a)(2-b)(2-c)

Expand (-6+3 a)(2-b) using the FOIL Method.

Combine the opposite terms in

8-12 a+6 a^2-a^3+8-12 b+6 b^2-b^3+8-12 c+6 c^2-c^3-24+12 c+12 b-6 b c+12 a-6 a c-6 a b+3 abc

8+6 a^2-a^3+8+6 b^2-b^3+8+6 c^2-c^3-24-6 b c-6 a c-6 a b+3 abc

Simplify by adding numbers.

6 a^2-a^3+6 b^2-b^3+24+6 c^2-c^3-24-6 b c-6 a c-6 a b+3 abc

Combine the opposite terms in

6 a^2-a^3+6 b^2-b^3+24+6 c^2-c^3-24-6 b c-6 a c-6 a b+3 a b c

6 a^2-a^3+6 b^2-b^3+6 c^2-c^3-6 b c -6 ac-6 ab+3 abc

Re odrder

a^3+3 a b c-b^3-c^3+6 a^2-6 a b-6 a c+6 b^2-6 b c+6 c^2

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Answer:

Step-by-step explanation:

2x+1=x-4

2x-x= -4-1

1x=-5

Answer:

C.

Step-by-step explanation:

Because x is less than 7, which will not Include the 7. You will represent with an open circle on 7 with the arrow going on to the left. Which will mean all the numbers smaller than 7, 7 not included.

The linear equation doesn't have a solution.

The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6

This will be solved thus:

4x - 2x + 1 = x+5+x-6

4x - 2x + 1 = 2x - 1.

2x + 1 = 2x - 1

Collect like terms

2x - 2x = -1 - 1

0 = -2

This illustrates that the equation doesn't have a solution.

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