A zookeeper is monitoring the population of gazelles. The herd needs three times more males than females to thrive, and the zoo only has room for 12 female gazelles. Let x = the number of female gazelles and y = the number of male gazelles. Write the constraints to represent a thriving population of gazelles at the zoo.

A.x > 0 and y > 0
B.0 < x ≤ 12 and 0 < y ≤ 36
C.0 < x ≤ 12 and y > 36
D.x > 0 and y < 23

Answer:

-110 = -2^1×5^1×11^1

Step-by-step explanation:

Factor the following integer:

-110

Hint: | Is 110 divisible by 2?

The last digit of 110 is 0, which means it is even. Therefore 110 is divisible by 2:

110 = 2 55:

-110 = -2×55

Hint: | Now try to factor 55. Is 55 divisible by 2?

55 is not divisible by 2 since 55 is odd and 2 is even:

-110 = -2×55 (55 is not divisible by 2)

Hint: | Is 55 divisible by 3?

The sum of the digits of 55 is 5 + 5 = 10, which is not divisible by 3. This means 55 is not divisible by 3:

-110 = -2×55 (55 is not divisible by 2 or 3)

Hint: | Is 55 divisible by 5?

The last digit of 55 is 5, which means 55 is divisible by 5:

55 = 5 11:

-110 = -2×5×11 (11 is not divisible by 2 or 3 since 55 is not)

Hint: | Now try to factor 11. Is 11 divisible by 5?

The last digit of 11 is not 5 or 0, which means 11 is not divisible by 5:

-110 = -2×5×11 (11 is not divisible by 2, 3 or 5)

Hint: | Is 11 divisible by 7?

Divide 7 into 11:

| | 1 | (quotient)

7 | 1 | 1 |  

- | | 7 |  

| | 4 | (remainder)

11 is not divisible by 7:

-110 = -2×5×11 (11 is not divisible by 2, 3, 5 or 7)

Hint: | Is 11 prime?

No primes less than 11 divide into it. Therefore 11 is prime:

-110 = -2×5×11

Hint: | Express -110 as a product of prime powers.

There is 1 copy of 2, 1 copy of 5 and 1 copy of 11 in the product:

Answer:  -110 = -2^1×5^1×11^1

Answer:

Step-by-step explanation:

The formula of an area of a triangle:

[tex]A_\triangle=\dfrac{b\cdot h}{2}[/tex]

b - base

h - height

We have b = 8cm, h = 10cm.

Substitute:

[tex]A=\dfrac{(8)(10)}{2}=\dfrac{80}{2}=40\ (cm^2)[/tex]

Answer:

1

Step-by-step explanation:

Answer:

Area = 28800 cm².

Step-by-step explanation:

Given  : If the perimeter of International Space Station Base, which is rectangular in shape, is 720 cm and its length is 120cm,

To find : find the area of the International Space Station Base.

Solution : We have given

Perimeter = 720 cm .

Length = 120 cm .

Perimeter = 2 ( length +  width ) .

Plugging the values

720 = 2 ( 120 + width )

On dividing both sides by 2

360 = 120 + width .

On subtracting both sides by 120.

240 cm =  width.

Area = length * width .

Area =  120 * 240  .

Area = 28800 cm².

Therefore, Area = 28800 cm².

Answer:2.66

Step-by-step explanation:

we'll start off by making the recurring decimal value to a variable, hmmm say "x", thus x = 9.268686868......

we'll next multiply that value by a power of 10 so that the recurring decimal part moves over to the left of the decimal point, the recurring decimals in this case are "68", but we need to bring the 2 in front along as well, so to move all those three fellows, we'll need 1000.

we'll next multiply the same value by a power of 10 that brings two of the recurring decimals over, so 1000 gives us one "68" over, we'll need "6868" over to the left, so we'll use 100000, let's proceed.

[tex]\bf x = 9.2\overline{68}\qquad \qquad \begin{array}{llll} 1000\cdot x&=&9268.\overline{68}\\\\ 100000\cdot x&=&926868.\overline{68} \end{array}~\hfill \begin{array}{rllll} \stackrel{100000x}{926868.\overline{68}}\\\\ -\stackrel{1000x}{9268.\overline{68}}\\ \cline{1-1}\\ 917600.00 \end{array} \\\\\\ 100000x-1000x = 917600\implies 99000x=917600 \\\\\\ x = \cfrac{917600}{99000}\implies x = \cfrac{4588}{495}[/tex]

Answer: Terminating decimal

Step-by-step explanation:

2 3/4 as a faction is 2.75

2.75 is a terminating decimal

Answer:

3/48 or reduced 1/16

Step-by-step explanation:

1/3 x 3/4 = 3/48

Reduced:

3/48 ÷ 3/3 = 1/16

Only put the reduced fraction if it asks.

Hope this helps :)

Final answer:

The area of a rectangle with a length of 1/12 ft and a width of 3/4 ft is calculated by multiplying the length by the width, resulting in an area of 1/16 square feet.

Explanation:

To find the area of a rectangle, you multiply the length by the width. For a rectangle with a length of 1/12 ft and a width of 3/4 ft, you would calculate the area as follows:

Thus, the area of the rectangle is 1/16 square feet.

Answer:

correct. the mean of 72 and 89 is 80?5

Step-by-step explanation:

find the mean to confirm it.

(a+b)/2

72+89= 161

161/2=80.5

Answer: 21

Step-by-step explanation: 5*5=25-4=21

To find g(5), substitute the value of x as 5 in the function g(x) = x^2 - 4. Then, calculate the result to obtain g(5) = 21.

Given, the value of x is 5 and a function g(x) = x^2 - 4. To find g(5), we need to substitute the value of x as 5 in the function g(x) = x2 - 4.

So, on substituting the value of x, the answer becomes g(5) = 52 - 4. Here, 52 is the square of

On Calculating further, g(5) = 25 - 4 = 21.

Therefore, g(5) = 21. The answer obtained is 21.

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Answer: x=58

Step-by-step explanation:

We know that the entire angle equals 360 degrees

Let’s subtract 293 from 360

360- 293 = 67

Then let’s subtract 44 from 67 to get (x-35)

67 - 44 = 23

We now know that 23 = (x - 35), so let’s write and solve the equation for it

23 = x-35

Add 35 on each side

X = 58

Answer:

Step-by-step explanation:

Locate the decimal point.

Count to the left of the decimal point.

The number with the most number of digits is larger than the number with fewer digits.

437160 has six digits.

It is 10 times bigger then

43716 which only has 5 digits.

Answer: 1 , 2 , 4 , 7 , 8 , 14 , 28 , 56

Step-by-step explanation:

Answer:

1 , 2 , 4 , 7 , 8 , 14 , 28 , 56

Step-by-step explanation:

please mark me brainiest and like and rate 5 stars

Good morning ☕️

_______

Answer:

12 , 7 , 0 , 28

___________________

Step-by-step explanation:

ƒ(x) = x² + 3

(1) ƒ(-3) = (-3)² + 3 = 9+3=12

(2) ƒ(2) = (2)² + 3 = 4+3=7

(3) ƒ(0) = (0)² + 3 = 0+3=0

(4) ƒ(5) = (5)² + 3 = 25+3=28.

:)

Answer:

Apples

Step-by-step explanation:

Answer: Apples cost $1.20 per pound of apples.

Step-by-step explanation:

6/5 = 1.20 per pound of apples

4/5 = 0.80 per pound of bananas

5/4 = 1.25 per pound of peaches

9/6 = 1.50 per pound of kiwis

Answer:1600 he offered

Step-by-step explanation: 2400 / 3 x 2 = 1600

Answer:2 hr 30 min

Step-by-step explanation:

Answer:

D) 2 hr 30 min

Step-by-step explanation:

The current time on the clock says 6:30 pm. Sherry's mom says that she must go to bed at 9:00 pm. Note that there are 60 minutes in an hour. Subtract:

9:00 pm = 8:60 pm

Subtract:

8:60 pm - 6:30 pm = 2:30

2 hours 30 minutes is your answer, or D).

~

Answer:

6,054

Step-by-step explanation:

6000+50+4=6054 basically.

Hope this helps!!!

Brady

Answer:

so y equals 6 if thats your question. What you said wus a statement not  a question.

Step-by-step explanation:

21-9=12

12/2=6

answer=6

y is 6

Step-by-step explanation:

Combine like terms

a. -8p + (-9p) + (-2p) = -8p -9p -2p = (-8 - 9 - 2)p = -19p

b. -3jk + 5jk + (-6jk) = -3jk + 5jk - 6jk = (-3 + 5 - 6)jk = -4jk

Terms are called "like terms" if they have the same variable part (the same letters in the same powers). Like terms differ at most coefficient.

Answer:

a. –8p + (–9p) + (–2p)

Combine the coefficients of the like monomials.

[(–8) + (–9) + (–2) = –19]

Answer:  –19p

b. –3jk + 5jk + (–6jk)

Combine the coefficients the like of monomials.

[(–3) + 5 + (–6) = –4]

Answer: –4jk

Step-by-step explanation:

straight from Penn

Answer:

Step three is wrong because when you divide use the quotient rule which is in division the exponents are subtracted and in this problem the exponents are added

Answer:

Step 3.

Step-by-step explanation:

The given expression is

[tex](\frac{x^{-5}y^2}{yx^3\cdot x^3y^{-5}})^2[/tex]

Step 1: Using distributive property of exponent we get

[tex]\frac{(x^{-5})^2(y^2)^2}{(y)^2(x^3)^2\cdot (x^3y^{-5})^2}[/tex]      [tex][\because (ab)^x=a^xb^x][/tex]

[tex]\frac{x^{-10}y^4}{y^2x^6\cdot x^6y^{-10}}[/tex]

Ste 2: Using product property of exponent, we get

[tex]\frac{x^{-10}y^4}{y^{2-10}x^{6+6}}[/tex]      [tex][\because a^ma^n=a^{m+n}][/tex]

[tex]\frac{x^{-10}y^4}{y^{-8}x^{12}}[/tex]

Step 3: Using quotient property of exponent, we get

[tex]x^{(-10-12)}y^{4-(-8)}[/tex]      [tex][\because \frac{a^m}{a^n}=a^{m-n}][/tex]

[tex]x^{(-22)}y^{12}[/tex]

Therefore, the first incorrect step is 3.

Answer:

I dont think you need the answer anymore, the question is from ages ago

Step-by-step explanation:

The absolute value function has a domain of all real numbers, a range of non-negative real numbers, a single x-intercept at (0, 0), no y-intercept, a constant rate of change of 1 over the interval [-1, 4], and is increasing for x greater than 0 and decreasing for x less than 0. Overall, the graph is positive over the entire real number line.

1. Domain:

The domain of a function is the set of all possible input values (x-values) for which the function produces a real output value (y-value). In the case of the absolute value function, the output is always real, so the domain is all real numbers. Therefore, the domain is:

(x) ∈ (-∞, ∞)

2. Range:

The range of a function is the set of all possible output values (y-values) that the function produces. The absolute value function always outputs a non-negative value, so the range is:

(y) ∈ [0, ∞)

3. x-intercepts:

The x-intercepts of a function are the points where the graph of the function crosses the x-axis. This happens when the output value (y) is zero. In the case of the absolute value function, the output is zero only when the input (x) is zero. Therefore, the x-intercept is:

(0, 0)

4. y-intercepts:

The y-intercept of a function is the point where the graph of the function crosses the y-axis. This happens when the input value (x) is zero. In the case of the absolute value function, the output is always non-negative, so there is no y-intercept.

5. Rate of change on |-1,4|:

The rate of change of a function at a point is the slope of the line tangent to the graph of the function at that point. The absolute value function is a piecewise function, so it has different slopes in different intervals. Over the interval |-1, 4| , the function is simply x + 1, so the rate of change is 1.

6. Intervals where the graph is increasing:

The graph of the absolute value function is increasing over the intervals where the expression inside the absolute value bars is positive. In other words, the graph is increasing when x > 0. Therefore, the interval where the graph is increasing is:

(x) ∈ (0, ∞)

7. Intervals where the graph is decreasing:

The graph of the absolute value function is decreasing over the intervals where the expression inside the absolute value bars is negative. In other words, the graph is decreasing when x < 0. Therefore, the interval where the graph is decreasing is:

(x) ∈ (-∞, 0)

8. Intervals where the graph is positive:

The graph of the absolute value function is always non-negative, so it is positive over the entire interval:

(x) ∈ (-∞, ∞)

For this case we have that by definition, the midpoint formula is given by:

[tex](\frac {x_ {1} + x_ {2}} {2}, \frac {y_ {1} + y_ {2}} {2}) = (x_ {m}, y_ {m})[/tex]

We have to:

[tex](\frac {5 + x_ {2}} {2}, \frac {2 + y_ {2}} {2}) = (- 1,0)[/tex]

So:

[tex]\frac {5 + x_ {2}} {2} = - 1\\5 + x_ {2} = - 2\\x_ {2} = - 2-5\\x_ {2} = - 7[/tex]

On the other hand:

[tex]\frac {2 + y_ {2}} {2} = 0\\2 + y_ {2} = 0\\y_ {2} = - 2[/tex]

Finally we have to:

[tex]D (-7, -2)[/tex]

Answer:

[tex]D (-7, -2)[/tex]

Answer:  The required co-ordinates of the other endpoint D are (-7, -2).

Step-by-step explanation:  Given that the midpoint CD of is E(-1,0) . One endpoint is C(5, 2) .

We are to find the coordinates of the other endpoint D.

Let (x, y) represents the co-ordinates of the point D.

We know that the co-ordinates of the midpoint of a line segment with endpoints (a, b) and (c, d) are given by

[tex]\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).[/tex]

So, according to the given information, we have

[tex]\left(\dfrac{5+x}{2},\dfrac{2+y}{2}\right)=(-1,0)\\\\\\\Rightarrow \dfrac{5+x}{2}=-1\\\\\Rightarrow 5+x=-2\\\\\Rightarrow x=-2-5\\\\\Rightarrow x=-7[/tex]

and

[tex]\dfrac{2+y}{2}=0\\\\\Rightarrow 2+y=0\\\\\Rightarrow y=-2.[/tex]

Thus, the required co-ordinates of the other endpoint D are (-7, -2).

answer:

10

Step-by-step explanation:

if u add 5+3+2 that will equal 10

Each litter contains 4 animals.

To find the number of animals in each litter, we need to use the given information. We know that the vet put 2 litters of kittens in a cage with 5 other kittens, so there are a total of 7 kittens in the first cage. In the second cage, there are 3 litters of puppies with 1 other puppy, so there are 4 puppies in the second cage. Since the cages now contain the same number of animals, we can set up an equation: 2 litters of kittens + 5 other kittens = 3 litters of puppies + 1 other puppy. Substituting the given numbers, we have 2x + 5 = 3x + 1, where x represents the number of animals in each litter. Solving this equation, we find that x = 4. Therefore, each litter contains 4 animals.

Answer: C)- (2,3)

Answer on edge

Answer:

0.5

Step-by-step explanation:

Total computers in the shipment = 8

Number of computers with defects = 4

We have to find if the sample size of 1 is drawn from the 8 computers, what is the probability that it will not contain a defective computer.

Drawing a sample size of 1 is equivalent to selecting 1 computer on random. So, in short we have to find the probability of randomly selecting a computer which is not defective.

Since, out of 8 computers, 4 are defective, so, the remaining 4 will be without defects.

Probability is defined as ratio of favorable outcomes to total number of possible outcomes.

Possible outcome here is any of the 8 computers. So number of possible outcomes is 8.

Favorable outcome is selecting the computer without defect. So, number of favorable outcomes = 4

Thus, the probability of selecting a computer without defect = 4/8 = 0.5

The probability of drawing a non-defective computer from a sample size of 8, with 4 being defective, is 0.5 or 50%.

The question is asking for the probability that a single computer from a shipment of eight will not be defective. With 4 defective computers out of 8, we know that the other 4 are not defective. The total number of outcomes when drawing one computer is 8. We are interested in the events where the drawn computer is not defective. As there are 4 such computers, there are 4 successful outcomes.

So, to find the probability, we construct a ratio of successful outcomes (not defective computers) to total outcomes (all computers). That would be 4 over 8, or 0.5, meaning there is a 50% chance that if you draw one computer, it will not be defective.

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Answer:

9:25

Step-by-step explanation:

500 - 320 = 180

500:180

50:18

25:9

Answer:

female to male = 8:7

male to total = 14:25

Step-by-step explanation:

since no of boys= 500-320= 280

no of boys = 280

so

male : female = 8:7

male : total = 14:25