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.

Answer: 2 4 3

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

It is important to get a leaking faucet fixed as soon as possible to save water, money, and prevent potential problems in the future.

It is important to get a leaking faucet fixed because of the following reasons;

1. Water waste: A leaking faucet wastes a significant amount of water over time, which can contribute to higher utility bills and water shortages in drought-prone areas.

2. Cost-saving: Fixing a leaking faucet can save you money in the long run by reducing your water bill.

3. Preventing bigger issues: Ignoring a leaking faucet can lead to more serious plumbing problems down the line, which can be more expensive to fix.

4. Environmental impact: Wasting water unnecessarily has a negative impact on the environment and can contribute to water scarcity.

Overall, it is important to address a leaking faucet promptly to save water, money, and prevent potential problems in the future.

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Answer:

19m, A

Step-by-step explanation:

Work = Force x distance

so rearrange to get:

distance = Work ÷ Force

distance = 665÷35

distance = 19m

Answer:

0.7842857142857143

Step-by-step explanation: i would right an explanation but i cant put it all so you will just have to trust me

Answer:

B. G(x)=(x-2)^2 + 1

Step-by-step explanation:

the graph shifts two to the right x^2 turns into (x-2)^2

and the y value shifts from 0 to 1 (+1)

together, we get (x-2)^2 + 1

:)

Answer:

x = 3

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

Step-by-step explanation:

-3x = -9

You have to do the inverse operation to solve a linear equation. In this case, the operation is multiplication (-3x) and the inverse would be division.

Thus, we would divide both sides by the coefficient (-3)

-3x/-3  =  -9/-3

Thus, we isolate the variable x, and the result is

x = 3

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

Check:

To check our answer, all we have to do is substitute the value of x.

So, we would substitute the equation as

-3(3) = 9

-3 multiplied by 3 is -9, so our answer is correct.

Answer:

False.

Step-by-step explanation:

The diagonals are at right angles ( because of the negative reciprocal slopes)

so it could be a square or a rhombus.

The given figure can be a rhombus or square.

The square is a 4 - sided figure, each side of the square is equal and makes a right angle.

The area of a square having sided a unit can be given by a² square unit.

Given that,

A figure has equal length of opposite sides.

Also, slopes and diagonals are equal with negative reciprocals.

Since, The square and rhombus both have equal sides and equal diagonals,

But a square makes right angle on sides.

In the given question, right angle is not given.

Therefore, the figure can be square or rhombus.

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Step-by-step explanation:

this is very blurry. please make sure you pick the answer option that is the exact result of the solution here.

to get the full result, we can split the individual multiplications of fractions apart, simplify the individual fractions, and then simply connect them again :

-9/-15 = 3/5

x^‐1/x⁵ = 1/x¹x⁵ = 1/x⁶

y^-9/y^-3 = y³/y⁹ = 1/y⁶

so, by multiplying all 3 parts together again we get

3/(5x⁶y⁶).

I suspect this is the second answer option, but please make sure.

Answer:

$12

Step-by-step explanation:

to find sales tax you multiply the cost by the percentage

you do 150 * 8%

thats also 150 * 0.08

150 * 0.08 is 12

so you pay $12 in tax

Bret paid $12 as sales tax.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.

We have Bret buys a dining table that costs $150 before tax. The sales tax is 8%.

Assume that he paid $[x] as sales tax. Then, we can write -

[x] = 8% of 150

[x] = (8/100) x 150

[x] = 12

Therefore, Bret paid $12 as sales tax.

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Answer:

4. Parallelogram

5. Parallelogram

6. Parallelogram

Step-by-step explanation:

Hoped this helped.

Answer:

yes

Step-by-step explanation:

yes, they are congruent for the AAS rule ( angle angle side)

Answer:

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Class 11

>>Physics

>>Units and Measurement

>>Errors in Measurement

>>You measure two quantities ...

Question

Bookmark

You measure two quantities as A=1.0m±0.2m, B=2.0m±0.2m. We should report correct value for

AB

as

Medium

Solution

verified

Verified by Toppr

Correct option is

D

1.4m±0.2m

Here, A=1.0m±0.2m, B=2.0m±0.2m

AB=(1.0m)(2.0m)=2.0m

2

AB

=

2.0m

=1.414m

Rounding off to two significant figures, we get

AB

=1.4m

AB

ΔAB

=

2

1

(

A

ΔA

+

B

ΔB

)=

2

1

(

1.0

0.2

+

2.0

0.2

)=

2

0.3

Δ

AB

=

2

0.3

×

AB

=

2

0.3

×1.414=0.212m

Rounding off to one significant figure, we get

Δ

AB

=0.2m

The correct value for

AB

is 1.4m±0.2m

Answer: The slope is -32

Explanation:

Start with the slope formula:

m= (y2 - y1) / (x2 - x1)

Substitute point values in the formula

m = (-25 - 7) / (85 - 84)

Simplify each side of the equation

m= (-25 - 7) / (85 - 84) = -32/1

Solve for slope (m)

m= -32

Answer:

16

Step-by-step explanation:

Divide 640 by 40.

[tex]640 = x \times 10 \times 4[/tex]

[tex]640 = 40x[/tex]

Divide both sides by 40

[tex] \frac{640}{40} = \frac{40x}{40} \\ [/tex]

[tex]x = 16[/tex]

Thus the height would be 16 feet .

Answer:

33 2/3

Step-by-step explanation:

First you would change 0.2 to a fraction. This would be 1/5. You would then have to make these two have a common denominator. 6 1/3 would also become an improper fraction for visual sake.. The lowest common denominator they share is 15. I've drawn the process in the image above.

So now we have 95/15 and 3/15. From here, we would divide 95 by 3.

95 ÷ 3 = 31 10/15

This would give us 31 and 10/15 servings of pasta in the bowl. If we're talking about full servings, 31 would be the correct number, but if we're talking exact, then it is 31 2/3.

Answer:

yes

Step-by-step explanation:

yes ......................................

Answer:

70°

Step-by-step explanation:

the bottom small triangle is isosceles, which means in this case it has 2 35° angles. the third angle y is 180-2*35=110°

x is 180 - y = 180-110 = 70°

Answer:

1332.25 yd²

Step-by-step explanation:

To find the area, you do length times width. Since it is a square and each side is 36.5, you do 36.5 * 36.5 to find the area.

36.5 * 36.5=1332.25

Answer:

x²

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

r = 7 cm

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( where r is the radius )

Given A = 154 , then

πr² = 154 , that is

[tex]\frac{22}{7}[/tex] r² = 154 ( multiply both sides by 7 to clear the fraction )

22r² = 1078 ( divide both sides by 22 )

r² = 49 ( take square root of both sides )

r = [tex]\sqrt{49}[/tex] = 7 cm

Multiply each X by its corresponding probability P, then add up them up.

E[X] = 3•0.2 + 4•0.1 + 5•0.25 + 7•0.05 + 9•0.4

⇒   E[X] = 6.2

Answer:

9

Step-by-step explanation:

pemdas

9-3÷1/3+1

division

3 and 1/3 becomes 1

we have 9-1+1

which simplifies to 9

Is (x-2) is a factor of x³-3x²-x +7 –

We are given –

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf P(x) = x³-3x²-x +7[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf Q(x) =x - 2 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf If \:Q(x) = 0[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x - 2 = 0[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x = 2[/tex]

Now Put x = 2 into the polynomial –

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf P(2) = 2³-3(2)²-2+7}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 8 - 3 \times 4 +5[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 8 -12 +5[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 13-12[/tex]

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf P(2) =1 }[/tex]

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