A zookeeper is monitoring the population of gazelles. The herd needs to have exactly three times more males than females to thrive. The zoo only has room for a maximum of 12 female gazelles. Let x represent the number of female gazelles and y represent the number of male gazelles. Write the constraints that represent the possible number of male and female gazelles that can live in a thriving population at the zoo. X > 0 and y > 0 0 < x ≤ 12 and 0 < y ≤ 36 0 < x ≤ 12 and y > 36 x > 0 and y < 23.

Answers

Answer 1

Option C is correct.

Given to us:

female gazelles[tex](x)[/tex] can be maximum of 12 only. therefore,

Condition 1 is  [tex]12\geq x>0[/tex].

while,

male gazelles[tex](y)[/tex] should be exactly 3 times more than females to thrive. therefore,

Condition 2 is [tex]36\geq y>0[/tex].

There is only one option among all the options available which is satisfying both the conditions. therefore, option C is the correct option.

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Answer 2

Answer:

c is the answer

Step-by-step explanation:

it took the test and got it correct


Related Questions

In an arithmetic sequence, the first term is 5 and the third term is -5. What is the 20th term?

Answers

Answer:

-115

Step-by-step explanation:

Thus with the sequence /question numbers are reducing by 5 .

The answer above is correct

indentify the explicit function for the sequence in the table ​

Answers

Answer:

Option B

a(n) = 8 + (n-1) • 6

Answered by GAUTHMATH

Find the value of the constant m √150 - √12m + √54 = 0​

Answers

Answer:

m is 2

Step-by-step explanation:

[tex]{ \tt{ \sqrt{150} - \sqrt{12}m + \sqrt{54} = 0 }} \\ { \tt{ \sqrt{12}m } = \sqrt{150} - \sqrt{54} } \\ { \tt{ (\sqrt{4 \times 3}) m = ( \sqrt{25 \times 6} ) - ( \sqrt{9 \times 6}) }} \\ { \tt{( \sqrt{4 \times 3} )m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3}m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3} m = 2 \sqrt{6} }} \\ { \tt{ \sqrt{3} m = \sqrt{6} }} \\ { \tt{ \sqrt{3} m = ( \sqrt{3} \times \sqrt{2} ) }} \\ { \tt{m = \sqrt{2} }}[/tex]

Fermat fc won 45% of the 60 games they played last season. How many games did fermat fc win last season

Answers

Answer:

Fermat FC won 27 games.

Step-by-step explanation:

Convert percentage to fraction

45% --> 45/100

Multiply the fraction by the dividend

45/100 x 60 = 27

Draw the graphs of the pair of linear equations : x + 2y = 5 and 2x - 3y = -4 Also find the points where the lines meet the x - axis .

Answers

Answer:

(1, 2)

Step-by-step explanation:

Given the equation of the lines x + 2y = 5 and 2x - 3y = -4

First we need to make x the subject of the formulas

For x+2y = 5

x = 5 - 2y ... 1

For 2x - 3y = -4

2x = -4+3y

x = (-4+3y)/2 ... 2

Equate 1 and 2

5 - 2y =  (-4+3y)/2

2(5-2y) = -4+3y

10 - 4y = -4+3y

-4 -3y = -4-10

-7y = -14

y = 14/7

y = 2

Substitute y = 2 into 1

x = 5 = 2y

x = 5 - 2(2)

x = 5 - 4

x = 1

Hence the point where the lines meet will be at (1, 2)

A number n times 33​, decreased by 135​, is 360. A number m times ​18, added to 90 is 360. Write and solve an equation for each variable. Then compare the values of n and m.

Answers

Answer:

N = 6.8181. and m= 15

Step-by-step explanation:

33n-135=360

33n = 360-135

33n =225

n = 6.8281.

18m+90=360

18m=360-90

18m =270

m= 15

Need help quick g on cdth

Answers

Answer:

B. 16

Step-by-step explanation:

You can find it by subtraction.

for example:

70-54=16

54-38=16

22-6=16

and so on

Which of the following is a factor of 6x^3 + 6?

Answers

Answer:

x + 1

Step-by-step explanation:

Step-by-step explanation:6x^3 + 6 = 6 ^ 3+ 1 = 6(x+1) (x^2 - x + 1)

.
8. Tianna and Liam charge for tutoring.
Tianna's charges a base fee of $40, and $10 per hour of tutoring.
Liam charges $20 per hour of tutoring.
a. State an algebraic model for each tutor to represent the relationship between the total charge and
time. Use C to represent total charge ($) and t for time (hours).
.

Answers

C(Tianna) = $40 + $10x
C(Liam) = $20x

Can someone help me out

Answers

It equals 5? The markings means it’s equal right?

You and your best friend are both on the swim team. You want to beat your friend at the next swim meet so you decide to swim 15 minutes longer than she does one day at practice. Write an equation for the number of minutes you swim, y, when your friend swims x number of minutes. You swim 55 minutes. How many minutes did your friend swim?

Answers

Answer:

y=x+15

Friend swims 40 minutes

Step-by-step explanation:

We  re told that you want to swim 15 minutes longer than your friend. In word problems, longer or more always means addition. This means we will add 15 minutes to your friend's swim time (x) so we can figure out how long you swam (y).

This gives us the equation: y=x+15

Part two:

We know that you swam 55 minutes. This means y=55.

55=y=x+15

55=x+15

Now we want to get x alone, or isolate it. We can do this by subtracting 15 from both sides.

55-15=x+15-15

15-15= 0 and 55-15= 40

40=x

Thus your friend swam 40 minutes

(Remember that whatever you do to one side of the equation, you have to do to the other. If you add 2 to the left hand side, you have to add 2 to the right hand side. If you, like we did above, subtract 15 from the right, you have to subtract 15 from the left too)

I’ve been working on this all day please help me solve it

Answers

Answer:

a and b) 256

c) 5

d) 400

e) 10

Step-by-step explanation:

160(2) - 16(2)² = 320 - 64 = 256

h(2) = 256

find zeros

0 = -16x²-160x

0 = -16x(x-10)

-16x=0    x = 0

0 = x-10   x = 10

Δx₁,x₂ = 10/2 = 5    max height is at x = 5

find max height using x-value:

-16(5)²+160(5) = -80 + 480 = 400

for e) use second root (x = 10)

Find the missing segment in the image below

Answers

Answer:

10/2=15/?

Step-by-step explanation:

I can help you to your all question but it need time. I have to write short.

?=3

Margaret bought a video game, her father gave her 0.2 of the money, her aunt gave 0.5 of the money and she saved the rest. She saved $168 so what amt of money did her father give

Answers

Answer:

if Im correct it should be $8.40

Step-by-step explanation:

why well if you think of breaking down by say 1/4 of 168 all you do is divide 4 which is the whole amount by 0.2 which is the amount the father gave her so 4/0.2= 20 the you take your whole 168 and divide by 20 which the whole number for 0.2 the your answer should be this 168/20= 8.4 which then i assumed it was $8.40 hopefully that is correct hehe

ASAP!! can i get some help on this question please, and can i get a step by step explanation, thank you.

Answers

Answer:

2xy^2

Step-by-step explanation:

8/4=2

x^3/x^2=x

y^5/y^3=y^2

Answer:

2xy^2

Step-by-step explanation:

First, 8/4 is 2.

2x^3y^5 / 4x^2y^3

Then, we can bring the x^2 up. It becomes the -x^2. Combined with the x^3, we have x. Finally, we can bring the y^3 up, where it becomes -y^3. Combined with the y^5, we get y^2.

Our final answer is 2xy^2.

Find he probability of no more than 35 defective CD's in a batch of 80 CD's if the probablility of any one CD being defective is 0.1.

Answers

Answer:

0.999999

Step-by-step explanation:

Given that :

Probability of CD being defective, p = 0.1

q = 1 - p = 1 - 0.1 = 0.9

Total number of CD's = number of trials = 80

Probability, that no more than 35 CD's are defective ;

The question satisfied the requirements for a binomial probability problem ;

Recall :

P(x = x) = nCx * p^x * q^(n-x)

Hence,

P(x ≤ 35) = 80C35 * 0.1^35 * 0.9^(45)

Using calculator to save computation time :

P(x ≤ 35) = 0.999999

Full working out for this question please

Answers

Answer: B. t = 9.6tan(29°)

Step-by-step explanation:

Based on the fact:

[tex]tan(x)=\frac{opposite}{adjacent}[/tex]

Set x = 29 and solve:

[tex]\\\\tan(29)=\frac{t}{9.6} \\\\t=9.6*tan(29)[/tex]

whats 12 times 12 times 12 times 12 times 12 plus 1 plus 9 puls 1,000

Answers

Answer:

249,842

Step-by-step explanation:

to simplify it down, instead of 12*12 multiple times, i went with 12^5 ; 12 to the fifth power

12^5 + 1 + 9 + 1000

248,832 + 1 + 9 + 1000

248,832 + 1010 = 249,842

go to gauthmath's sub reddit if needing more things ^^

Answer: 249842

Step-by-step explanation: when 12 multiplies it self 5 times

                                             [tex]12^{5}[/tex]

                                           =248832

                                Addition of 1,9 and 1000

                                    =1 + 9 + 1000

                                    =1010

                               Sum total = 248832 +1010

                                                 =249842

                                                 OR

                               12×12×12×12×12+1+9+1000

                                =249842


[tex] \frac{1}{3} + \frac{7}{15} [/tex]

Answers

Answer:

Step-by-step explanation:

[tex]\frac{5}{15} + \frac{7}{15y} = \frac{12}{15} = \frac{4}{5}[/tex]

1/3+ + 7/15 = 0.8 as a decimal and 4/5 as a fraction

The 12th term of the arithmetic sequence is 10.5. The 18th term of this sequence is 13.5. Find the common difference and the first term.

Answers

Answer:

Common difference = 0.5

First term = 6.

Step-by-step explanation:

the 12th term a12 = a1 + d(12-1)   where a1 = first term and d = the common difference.

So a1 + 11d = 10.5 ....(A)    Similarly:

a1 + 17d = 13.5....(B)

Subtracting equations:

(B) - (A) :-

6d = 13.5 - 10.5 = 3

d = 3/6 = 0.5

From equation (A):

a1 + 11(0.5) = 10.5

a1 = 10.5 -5.5 = 5.

Which numbers are solutions to the inequality
-3x-3 is less than or equal to 6? Check all of the boxes that apply.
0-5
0-4
00
O2
04

Answers

Step-by-step explanation:

-3x - 3 <= 6

-3x <= 9

x >= -3

your answer options are not clear to me.

so, please pick the one corresponding to all x >= -3.

for any value of x greater or equal to -3 that inequality is true.

The solution of inequality is,

⇒ x ≥ - 3

We have to given that,

An inequality to solve,

⇒ - 3x - 3 ≤ 6

Now, We can simplify the inequality as,

⇒ - 3x - 3 ≤ 6

Add 3 both side,

⇒ - 3x ≤ 6 + 3

⇒ - 3x ≤ 9

Divide by 3;

⇒ - x ≤ 9/3

⇒ - x ≤ 3

⇒ x ≥ - 3

Therefore, The solution of inequality is,

⇒ x ≥ - 3

Learn more about the inequality visit:

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#SPJ7

Describe the location of point (-3, -2, 3) in three-dimensional coordinate space.

Answers

Answer:

The usual way to draw a 3-D grid can be seen below.

The positive z-axis points upwards

The positive y-axis points to the right

The positive x-axis points towards you, or to the front.

And the notation for a point in 3-D is (x, y, z)

In this case, our point is (-3, -2, 3)

Then the location of the point can be described as:

So the x-value is -3, which means that the point is 3 units behind the origin.

The y-value is -2, which means that the point is 2 units at the left of the origin

The z-value is 3, which means that the point is 3 units above the origin.

i need help i don’t know the answer

Answers

Answer:

3x - 4 and 2x + 15

Step-by-step explanation:

Answer:

(3x - 4) (2x + 15)

Step-by-step explanation:

6x² + 37x - 60

Using "splitting the middle term" method,

we get;

6x² + 45x - 8x - 60

= 3x (2x + 15) - 4 (2x + 15)

= (3x -4) (2x + 15)

How to do this???????

Answers

Answer:

x=14

Step-by-step explanation:

Form an equation; since the two sides are the same length set them equal to each other. 2x-9=x+5 the solve

2x=x+14

x=14

then you can plug it back in to check if you want

2(14)-9 = 19

14+5 = 19

Answer:

14

Step-by-step explanation:

2x-9=x+5 (being isosceles triange)

2x-x=5+9

x=14

hope u understood

Solve 3x^2+19x +6 please help

Answers

Answer:

(3x + 1)(x + 6)

3x^2 + 19x + 6

3x^2 + 18x + x + 6

3x^2 + 18x + x + 6

3x(x + 6) + x + 6

3x(x + 6) + x + 6

(3x + 1)(x + 6)

Haven't done this in a pretty long time so I might be wrong

Given the quadratic equation (x + p)²=49,where p is a constant,find the values of p if one of the roots of the equation is 4.
Pls help me,will mark as the brainliest.​

Answers

Answer:

-11, 3

Step-by-step explanation:

We know one of the roots are

[tex](x+ 4) {}^{2} = 49[/tex]

[tex]x + 4 = - 7[/tex]

[tex]x + 4 = 7[/tex]

[tex]x = - 11[/tex]

or

[tex]x = 3[/tex]

Which will result in a difference of squares?

a
(negative 7 x + 4)(negative 7 x + 4)

b
(negative 7 x + 4)(7 x minus 4)

c
(negative 7 x + 4)(negative 7 x minus 4)
d
(negative 7 x + 4)(4 minus 7 x)

Answers

Answer:

C

Step-by-step explanation:

The correct answer is C, love from Gauthmath

Answer:

the correct answer is option C

Step-by-step explanation:

(negative 7 x + 4)(negative 7 x minus 4)

3.

The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.


A. quadratic; y = 91x2 + 0.77

B. exponential; y = 91 • 0.77x

C. linear; y = 0.77x + 91

D. quadratic; y = 0.77x2 + 91

Answers

Answer:

B. exponential; y = 91 • 0.77x

Step-by-step explanation:

I just substituted the x on all of them and only one got the correct y which is B.

...............................................................................................................................................

The Answer is B.

y=91*0.77^x

...............................................................................................................................................

Answer:

B. exponential; y = 91 • 0.77x

Step-by-step explanation:

Just is

A man invested a certain amount of money in a bank at a simple interest rate of 5percent per annum. At the end of the year, his total amount un the bank was GHC 840,000.00. How much sid he invest in the bank.​

Answers

Answer: He invested 8,00,000.

Step-by-step explanation:

R = 5%

A = 840,000

T = 1 year

so

so

I = A-P

so

I = PTR/100

or, A-P = (p*1*5)/100

or, 840,000-P = 5p/100

or, 8,40,00,000-100P = 5p

or, 8,40,00,000 = 105P

so, p = 8,40,8,40,00,000

so, P = 8,00,000

Full working out for this question please.

Answers

Answer:

B. 3.2

Step-by-step explanation:

5 companies have 0 computers.

10 companies have 1 computer.

10 companies have 2 computers.

30 companies have 3 computers.

25 companies have 4 computers.

20 companies have 5 computers.

To find mean:

0 x 5 = 0

10 x 1 = 10

10 x 2 = 20

30 x 3 = 90

25 x 4 = 100

20 x 5 = 100

100 + 100 + 90 + 20 + 10 + 0 = 320

20 + 25 + 30 + 10 + 10 + 5 = 100

100 companies were surveyed.

100 companies use 320 computers in total.

320 / 100 = 3.2

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