A zookeeper is monitoring the population of penguins. the group needs to have exactly two times more males than females for the population to thrive. the zoo only has room for a maximum of 10 female penguins. let x represent the number of female penguins and y represent the number of male penguins. write the constraints that represent the possible number of male and female penguins that can live in a thriving population at the zoo. 0 < x ≤ 10 and 0 < y ≤ 20 x > 0 and y > 0 0 < x ≤ 10 and y > 20 x > 0 and y < 10

Answers

Answer 1

Answer:

0 < x ≤ 10 and 0 < y ≤ 20.

Step-by-step explanation:

I did the test and got it right ma bois.

Answer 2

Answer: Its A

Step-by-step explanation:


Related Questions

Someone help i cant answer this

Answers

Answer:

100%, 20%, 60%

Step-by-step explanation:

250/250 = 100/100 = 100%

50/250 = 1/5 = 20/100 = 20%

150/250 = 3/5 = 60/100 = 60%

Nelly works part-time in a shop to
cover her university expenses.
The table below shows how many
hours she worked each day last week.
Hours worked
Day
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday

5

4
25
Nelly's weekly pay is worked out
as follows: Monday to Friday
• £8 per hour for the first 15 hours
• £10 per hour for any extra hours
Saturday
.
• double the normal rate of £8 per hour
Work out Nelly's total pay for last week?
You must show all your working.

Answers

Using proportions, Nelly's total pay for last week was of £220.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

From Monday to Friday, she worked 17 hours, hence:

For 15 hours, she was paid £8 per hour.For the last 2 hours, she was paid £10 per hour.

On Saturday, she worked 5 hours, and was paid £16 per hour.

Hence her total payment is found as follows:

15 x 8 + 2 x 10 + 5 x 16 = £220.

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Maria wants to take a survey to predict who will win the election for her town’s mayor. Which samples are most likely to be biased? Check all that apply.

Answers

The Biased samples that are most likely to be biased are as follows;

The residents of every other house on her street.

The people at the computer store.

At the mall every 100th person from the town’s phone registry.

Every 10th person who walks down the main street in her town.

According to the statement

we have given that the:

Maria wants to take a survey to predict who will win the election for her town’s mayor.

So, For this purpose

Biased sample In epidemiology, a sample of a group that does not equally represent the members of the group.

The above people are selected randomly with no specific characteristics, so it is less likely to be biased.

These people are selected according to specific characteristics; Subscribing to the golf magazine (who tends to be rich and biased in politics).

So, it is more likely to be biased.

The Biased samples that are most likely to be biased are as follows

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Answer:

A: The residents of every house on her street

B: The subscribers to a golf magazine

C: The people at the computer store at the mall

Consider two forces of 17 and 42 pounds both acting in the horizontal direction on a single object. find the resultant force acting on the object. magnitude = direction angle =

Answers

The forces have a magnitude of 59 pounds, and their direction angles are zero.

What is the magnitude of force?The total amount of forces exerted on an object is referred to as the magnitude of force. The strength of the force increases when all the forces are pulling in the same direction. The force's strength reduces when forces are exerted on an item from different angles.When two forces operating on a body in opposite directions along the same line of action are equal in magnitude, they cancel one another out. When two forces operating on a body in opposite directions along the same line of action are equal in magnitude, they cancel one another out.According to this formula, the amount of net force acting on an item is equal to the mass times the acceleration of the object.Magnitude is a term that refers to size or importance. The depth of the Grand Canyon serves as an illustration of magnitude. The scope of the hunger crisis in the world serves as an illustration of magnitude. A measurement of the energy released by an earthquake, as shown on the Richter scale (geology).

Two forces of 17 and 42 pounds act horizontally on an object.

i.e

F1 = 17 pounds

F2 = 42 pounds

As the magnitude of the force represents the sum of all the forces

The direction is the same

Magnitude : 17 + 42 = 59 pounds

The Direction angles : 0

As they have the same direction so angle will be 0.

The forces have a magnitude of 59 pounds, and their direction angles are zero.

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Answer:59 and 0

Step-by-step explanation:

EDGE

Billy graphed the system of linear equations to find an approximate solution.

y = A system of equations. y equals negative StartFraction 7 over 4 EndFraction x plus StartFraction 5 over 2 EndFraction. y equals StartFraction 3 over 4 EndFraction x minus 3.x +
y = x – 3

A coordinate grid with 2 lines. The first line is labeled y equals negative StartFraction 7 over 4 EndFraction x plus StartFraction 5 over 2 EndFraction and passes through the (0, 2.5) and (2.2, negative 1.4). The second line is labeled y equals StartFraction 3 over 4 EndFraction x minus 3 and passes through (0, negative 3, 0.14) and (2.2, negative 1.4)
Which points are possible approximations for this system? Select two options.

Answers

The points that are possible approximations for this system are; (2.2, -1.4) and (2.2, -1.35)

How to find the solution of a linear graph?

We are given the equations of the linear graphs as;

y = ⁷/₄x + ⁵/₂

y = ³/₄x - 3

Notice that the lines intersect each other and by definition, if the lines of the system of equations intersect, then the system has one solution. This means that the point of intersection of the lines is the solution of the system. It can be written as:

(x, y)

x is the x-coordinate .

y is the y-coordinate.

In this case, we can identify that:

- the x-coordinate of the point of intersection is between; x = 2 and x = 3

- The y-coordinate of the point of intersection is between y = -1 and y = -2

Based on the above, we can conclude that the points that are possible approximations for this system are; (2.2, -1.4) and (2.2, -1.35)

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Answer: B and C) 2.2, -1.4 and 2.2, -1.35

Step-by-step explanation:

Hope this helps!

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Pls and Ty!

Find the limit. use l'hospital's rule if appropriate. if there is a more elementary method, consider using it. lim x→[infinity] ln(x) x

Answers

The limit of [tex]\lim_{x \to \infty} \frac{lnx}{x}[/tex]  using L'Hospital rule is 0.

According to the given question.

We have to find the limit of ln(x)/x when x approaches to infinity.

If we let x = ∞, we get an indeterminate form [tex]\frac{\infty}{\infty}[/tex] ie. [tex]\frac{ln(x)}{x} = \frac{\infty}{\infty}[/tex].

And, we know that whenever we get indeterminate form ∞/∞ we apply L'Hospital rule.

Therefore, defferentiating numerator ln(x) and x with respect to x.

[tex]\implies \frac{d(ln(x))}{dx} = \frac{1}{x}[/tex] and [tex]\frac{d(x)}{dx} =1[/tex]

So,

[tex]\lim_{x\to \infty}\frac{\frac{1}{x} }{1}[/tex]

[tex]= \lim_{x \to \infty} \frac{1}{x}[/tex]

As, x tends to ∞, 1/x tends to 0. Because ∞ is very large number and 1 divided by a very large number always approaches to 0 and it is very close to zero.

Therefore,

[tex]\lim_{x \to \infty} \frac{1}{x} = 0[/tex]

Hence, the limit of [tex]\lim_{x \to \infty} \frac{lnx}{x}[/tex] is 0.

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8. The cost of renting a scooter is $40 plus $4.50 per hours. Abby wants to spend less than $75
on the scooter rental. Write and solve an inequality to find the number of hours she can rent
the scooter.

Answers

Answer:

Step-by-step explanation:

4.5x + 40 < 75

4.5x < 35

x<7.7

If you were to take a cross section of a right circular cone parallel to its base, what shape would you get?

Answers

The cross section of a right circular cone parallel to its base is a circle.

What is a three dimensional shape?

A three dimensional shape is a shape that has length, width and height. Examples of three dimensional shapes are cone, cylinder, prism and pyramid.

A two dimensional shape is a shape that have both length and width. Examples of two dimensional shape are circle, rectangle, square.

A cone is a three-dimensional solid geometric shape having a circular base and a pointed edge at the top

The cross section of a right circular cone parallel to its base is a circle.

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Rewrite the function by completing the square. f(x) = x2 - 8x + 7

Answers

The function f(x) = x2 - 8x + 7 rewritten by completing the square is x² - 8x  + 16 = 9.

Rewrite the function by completing the square?

Given the function; f(x) = x² - 8x + 7

To rewrite by completing the square.

We simplify the function into a proper form to completing the square.

x² - 8x + 7 = 0

x² - 8x = -7

We create a trinomial square on the left side of the equation that is equal to the square of the half of b.

(b/2)² = (-4)²

Next, we add the term to both side of the equation.

x² - 8x + (-4)² = -7 + (-4)²

x² - 8x  + 16 = 9

Therefore, the function f(x) = x2 - 8x + 7 rewritten by completing the square is x² - 8x  + 16 = 9.

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A right triangle has side lengths 4 units, 5 units, and x units. It is unknown if the missing length is the longest or shortest side.

Rounded to the nearest tenth, what is the difference between the possible values of x?

3.0 units
3.4 units
6.4 units
8.0 units

Answers

Answer: B

Step-by-step explanation:

Answer:

3.4 units

Step-by-step explanation:

question no.3 ‍♀️
is 1,2 correct ?

Answers

Answer:

YES THEY ARE CORRECT ✅

Good luck ✅

A ladder is leaning against a building and makes a 28 degree angle with the ground. the top of the ladder reaches up the building. what is the length of the latter

Answers

The length of the ladder is 75ft.

What is hypotenuse?

The longest side, or hypotenuse, of a right-angled triangle is the side that faces away from the right angle. The Pythagorean theorem asserts that the hypotenuse's square length equals the sum of the squares of the lengths of the other two sides, and this can be used to determine the hypotenuse's length.

According to the information:

The ladder makes an angle of 28° with the ground and the top of the ladder reaches 35ft

Therefore, we have:

Sineα = opposite/hypotenuse

Where:

Opposite = 35

Hypotenuse = Length

α = 28°

substitute values and solve for the length, as following:

Sine(28) = 35/Length

Length = 35/Sine(28)

Length = 75ft

Therefore,

The length of the ladder is 75 ft.

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what is a constant

for example

[tex]y=x^{3} -3x^{2} +Kx+8[/tex] where K is the constant

what does that mean

Answers

Answer:

see explanation

Step-by-step explanation:

K is a constant means that K is a fixed numerical value


A coin is flipped twice. What is the probability of getting heads on the first flip and tails on the second flip?

Answers

Answer: 0.25 or 25%

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

A shop is having a 10% off sale. Find the sale price of a cap which normally costs $12?

Answers

Answer:  $10.8

Step-by-step explanation:  To do this, we need to find 90% of $12 because the cap is 10% off. We can do this by multiplying 12 by 0.9.  12 x0.9 = 10.8.

a.) 6(x+2) = 5(x-y)

b.) 5(a-2x) = 9(x+1)

make x the subject

Answers

Answer

a) 6x + 12 = 5x - 5y

6x-5x = -5y-12

x = -5y-12

b) 5a-10x = 9x+9

-10x-9x = 9-5a

-19x = 9-5a

x = 9-5a/-19

Please gimme a hand I appreciate it in advance!!!

Answers

Answer:

30 degrees

Step-by-step explanation:

They are corresponding angles.

Answer: 30 degrees

Step-by-step explanation:

mangle8 and mangle 4 are corresponding angles meaning the angles are both the same.

Select the correct answer.

Which function does this graph represent?

A downward open parabola rises from (negative 2 point 4, negative 4) to (negative 1, 2) and declines through (0 point 4, negative 4) on the x y coordinate plane.

A.
f(x) = 3(x + 1)2 + 2
B.
f(x) = -3(x + 1)2 + 2
C.
f(x) = -3(x + 1)2 − 2
D.
f(x) = 3(x − 1)2 + 2

Answers

The parabola represented by this graph has the following equation:

y = -16.67(x + 1)² + 2

What is the equation of a parabola given it’s vertex?

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

A downward open parabola rises from (-2.4, 4) to (-1,2), and declines through (0.4, -4) on the coordinate plane, hence the vertex is given by:

(-1,2), hence the coefficients are h = -1 and k = 2, and the equation is:

y = a(x - h)² + k

y = a(x + 1)² + 2

We have that when x = -0.4, y = -4, hence the leading coefficient is found as follows:

y = a(x + 1)² + 2

-4 = a(-0.4 + 1)² + 2

a = -6/0.6²

a = -16.67

Hence the equation is:

y = -16.67(x + 1)² + 2

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how many ounces of water must be added 100 oz. of 60% iodine to produce a 55% solution ? round your answer to the nearest hundreth.

Answers

Answer:

10 ounces

Step-by-step explanation:

Answer:

  9.09 ounces

Step-by-step explanation:

The added water can be calculated by writing an equation for the amount of iodine in the diluted solution.

Setup

Let x represent the number of ounces of water added to the 60% solution. The total amount of iodine in the mixture is ...

  0.60(100) +0(x) = 0.55(100+x) . . . . . ounces of iodine in the mix

Solution

Simplify the equation:

  60 = 55 +0.55x

  5 = 0.55x . . . . . . . subtract 55

  x = 5/0.55 ≈ 9.09

9.09 ounces of pure water must be added to produce a 55% solution.

In an analysis of variance study, we consider 3 treatments. We have 4 observations for the first treatment, 5 observations for the second treatment, and 6 observations for the third treatment. What are the degrees of freedom associated with SSE

Answers

In the analysis of variance study, if we consider 3 treatments, in which we have 4 observations for the first treatment, 5 observations for the second treatment, and 6 observations for the third treatment. Then, the degrees of freedom associated with SSE in each case is 2, 3, and 4, respectively.

Degrees of Freedom Associated with SSE

The number of degrees of freedom in statistics refers to the quantity of values that can fluctuate in a statistic's final calculation. Various amounts of data or information can be used to estimate statistical parameters.

In order to find the degrees of freedom associated with SSE in an Analysis of Variance (ANOVA) study, we subtract 2 from the number of observations. In n is the number of observations, then (n-2) gives the degrees of freedom associated with SSE.

Thus, for the first treatment, n = 4

Degrees of freedom = 4-2

= 2

For the second treatment, n = 5

Degrees of freedom = 5-2

= 3

For the third treatment, n = 6

Degrees of freedom = 6-2

= 4

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f(x)= x³ lf x=-2₁ y =?
If x=-1, y =?
If x= 0, y =?

Answers

Answer:

Step-by-step explanation:

if x= -2, f(x)= -8

x= -1, y= -1

x=0, y=0

What is the solution for x in the equation?

10x − 4.5 + 3x = 12x − 1.1

x =

Answers

Answer: x= 3.4

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Answer:

x = 3.4

Step-by-step explanation:

[tex]10x - 4.5 + 3x = 12x -1.1 \\ 13x - 4.5 = 12x - 1.1 \\ 13x - 12x - 4.5 = 12x - 12x - 1.1 \\ x - 4.5 = - 1.1 \\ x - 4.5 + 4.5 = - 1.1 + 4.5 \\ x = 3.4[/tex]

Distribute to create an equivalent
expression with the fewest symbols
possible.
2(3 – 8y)
=

Answers

Answer:

6 - 16y

Step-by-step explanation:

2(3 – 8y) = 2 × 3 - 2 × 8y = 6 - 16y

Can someone help me with this?

Answers

Answer:

  (5, 1)

Step-by-step explanation:

The vertex is the turning point on the graph. Its coordinates are read from the axes labels.

Vertex

The term vertex is used in several different contexts. A vertex of a polygon is a point where edges meet. A vertex of a curve is an extreme value of the curve.

When applied to an ellipse, the vertices are the ends of the major axis. The ends of the minor axis are the co-vertices.

Parabola

The vertex of a parabola is the extreme value of the parabola. When it opens downward, as here, the vertex is the point where the curve is at its maximum.

As with any point on any graph, the coordinates of the vertex are read from the labels of the axes. The horizontal coordinate is customarily listed first.

The vertex is (x, y) = (5, 1).

find the slope in the line 3-4

Answers

Answer:

-0.5, either ⅙ or ⅓

Step-by-step explanation:

slope = rise / run

3) slope = (6 - 7) / (3 - 1)

slope = -1 / 2

slope = -0.5

ur mouse is blocking 4 (I'll do 2 scenarios):

4) slope = (-4 - -5) / (2 - -4)

slope = 1 / 6

I will leave it in fractional form

4) slope = (-4 - -6) / (2 - -4)

slope = 2 / 6

slope = 1/3

slope = 0.33

An industrial machine produces widgets, but it has a 0.12 defective rate. what is the probability that the machine produces fewer than 3 defective widgets in a production run of 75 items?

Answers

The probability that the machine produces fewer than 3 defective widgets in a production run of 75 items is 0.041.

What is the probability?

A probability refers to the ratio of favorable events to the n number of total events.

Also, it means the chance that a particular event (s) will occur expressed on a linear scale from 0 to 1 which can also be expressed as a percentage between 0 and 100%.

Given data

An industrial machine produces 3 widgets.

It has a 0.12 defective rate.

Defective rate fewer than 3

Total Probability = P of 2 defective + P for 1 defective

Total Probability = 2/74 + 1/73

Total Probability ≈ 0.04072565716

Total Probability ≈ 0.041

Therefore, the required probability for fewer than 3 defective rate is 0.041

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The grocery store where Ms. Maple works pays her $6.50 per hour. Any time she works more than 40 hours per week, she is paid time and a half for the additional hours. Her weekly pay, w, is found using the following equation, where h is the total number of hours worked.

Answers

Answer:

$279.25

Step-by-step explanation:

Multiply 6.50x43

[tex]w = 279.50 + (0.5 \times 6.50) \times (43 - 40)[/tex]

Multiply 0.5x6.50

[tex]w = 279.50 + 3.250 \times (43 - 40)[/tex]

Add 43-40

[tex]w = 279.50 + 3.250 \times 3[/tex]

Multiply 3.250x3

[tex]w = 279.50+ 9.750[/tex]

Solution

radians and degrees
180° irc =

Answers

[tex]\Large\texttt{Answer}[/tex]

[tex]180^\circ=\pi\:radians}[/tex]

[tex]\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}[/tex]

[tex]\Large\texttt{Process}[/tex]

⇨ For converting from degrees to radians, use this conversion factor:

[tex]\bf{\cfrac{\pi}{180}}[/tex]

⇨ Convert

[tex]\bf{\cfrac{180}{1}\times\cfrac{\pi}{180}}[/tex]

⇨ The 180s cancel out, and we have:

[tex]\pi[/tex]

Hence

[tex]\bf{180^\circ=\pi\:radians}[/tex]

Hope that helped

need help with number 9 pls​

Answers

Answer:

i) a = 2, b = - 3, c =-6

Step-by-step explanation:

4x² - 12x + 3

4x² - 6x - 6x + 9 - 6

(2x - 3)(2x - 3) - 6

(2x - 3)² - 6

(2x + (- 3) )² - 6

In form of (ax + b)² - 6

a = 2, b = - 3, c =-6

How do you find the maximum or minimum value of a quadratic polynomial?

Answers

Answer: Put the quadratic in standard form f(x) = a(x − h)2 + k, and the absolute maximum/minimum value is k and it occurs at x = h.
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