The local pool must hold a minimum of 12,000 gallons of water. The pool already has 8,000 gallons of water in it and is being filled at a rate of 250 gallons per hour. Drag the solution to the number line to show how many hours it will take to fill the pool with water to its minimum amount required.

Answer:

Option C

Step-by-step explanation:

Check the attached photo.

Answer:

€ 2932.54

Step-by-step explanation:

Rate of interest for income upto 12012 = 0.5 %

    Interest = 0.5% *12012

                  =0.05 *12012

                  = € 60.06

Rate of interest for income between 12012.01 to 19874 = 2%

    Interest = 2% * 19874

                  = 0.02 * 19874

                   =  € 397.48

Rate of interest for income between 19874.01 to 70044 = 4.5%

 Interest = 0.045 * 55000

               = € 2475

Anna's USC for the year = 60.06 + 397.48 + 2475

                                         = € 2932.54

Answer:

Q = 247

Step-by-step explanation:

From B.

2*Q + 471 = 931

2*Q= 494

Q = 247

The problem states that Q is two times bigger than P

P < 2*Q

471 < 2*247

471 < 494

Answer:

Perimeter of a triangle is the length that borders a triangle, you would just have to add all the side length's up

Step-by-step explanation:

Answer:

15 times

Step-by-step explanation:

3 is one of the six numbers on a die.

The probability of rolling a 3 in one roll is [tex]\frac{1}{6}[/tex].

If you multiply it by 90, you get 15 times.

Answer:

C 15

Step-by-step explanation:

3 = 1/6

since there's 90 times

90/6 is equal to 90 x 1/6

90/6

= 15

Answer:

angles measuring 25,65, and 90 can create more than one triangle, as angles can be same it can create similar triangles.

Answer:

a

Step-by-step explanation:

Answer:

288

Step-by-step explanation:

(-2)x(-4)=8

(8)x(-6)=-48

(-48)x(-6)=288

Answer:

Step-by-step explanation:

Given that the diameter of the flower bed is 17 m and the width of the side walk is 2 m for a total out side diameter of 21 m.

Total Area is pi *(D/2)^2 = 346.4 m^2

Now subtract the area of the 17 m diameter flower bed for the area of the sidewalk alone. 346.4 - (pi*(17/2)^2 = 346.4 - 227.0 = 119,4 m^2

Answer:  119,4 m^2

Step-by-step explanation:

The equation is area = p times r^2

8 times eight times 3.14 =  119,4 m^2

=======================================================

Explanation:

n = 20 is the sample size

p = 0.035 is the probability of selecting someone who is from multiple births (twins, triplets, etc)

Either someone is a twin/triplet/etc or they aren't. This two option nature is a strong implication we have a binomial probability.

The binomial probability formula is

B(x) = (n C x)*(p)^x*(1-p)^(n-x)

where x is the number of successes and the n C x refers to the nCr combination formula.

We want to know the value of B(3), ie the value of B(x) when we have exactly x = 3 children from multiple births.

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

B(x) = (n C x)*(p)^x*(1-p)^(n-x)

B(3) = (20 C 3)*(0.035)^3*(1-0.035)^(20-3)

B(3) = (1140)*(0.035)^3*(0.965)^(17)

B(3) = 0.026673

There's roughly a 2.6673% chance of the 20 person sample having exactly 3 children who are from multiple births.

Side note: You can compute 20C3 = 1140 using the conventional nCr formula, or you can use Pascal's Triangle as an alternative route.

Answer:

12ft

Step-by-step explanation:

The length of a will be a different number and the value will be 4.71in

The given diagram is a sector and the formula for calculating the length of an arc is expressed as:

Length of an arc = rβ

where

Given the following parameters

β .= 45 degrees

r = 6in

Substitute

Length of an arc = 6π/4

Length of an arc = 6(3.14)/4

Length of an arc = 4.71inches

This shows that the length of a will be a different number and the value will be 4.71in

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The triangle NET is an isosceles triangle as ET ≅ TN and ET = TN < EN given the condition that BEST is a cyclic quadrilateral.

In this question we must apply geometric properties of angles and triangles to determine that the triangle NET is an isosceles triangle. Isosceles triangles are triangles with two sides of equal length. In addition, we must apply the geometric concept of proportionality.

Now we proceed to prove the existence of the isosceles triangle:

Therefore, the triangle NET is an isosceles triangle as ET ≅ TN and ET = TN < EN given the condition that BEST is a cyclic quadrilateral. [tex]\blacksquare[/tex]

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Answer:

Step-by-step

Let us assume that the third leg is X. So, X^2 + 2^2 = 5^2.X^2 = 25 - 4.X^2 = 21.X = root 21.

a right triangle, hypotenuse=5 cm, one leg=2 cm, the other leg=xApplying the Pythagorean theorem:5^2=2^2+x^2, 25=4+x^2,x^2=25–4=21, x=sqrt(21), x=4,58 cmThe measurement of the other leg is 4,58 cm

Answer:

Correct!

Step-by-step explanation:

The solution is x = 1

Answer:

One solution

Step-by-step explanation:

0.75 (x + 40) = 0.35 (x + 20) + 0.35 (x + 20)

0.75x + 30 = 0.35x + 7 + 0.35x + 7

0.75x + 30 = 0.7x + 14

0.05x + 30 = 14

0.05x = -16

x = -320

Hope this helps!

Only one solution exists for the given equation.

A mathematical statement that demonstrates the equality of two mathematical expressions is a mathematical solution, which is the definition of an equation.

Here,

The mathematical equation given is,

0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)

By solving it,

0.75(x + 40) = 0.7(x + 20)

0.75x - 0.7x = 14 - 30

0.05x = -16

Therefore, the solution of x,

x = -16/0.05

x = 320

Hence,

Only one solution exists for the given equation.

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The amount of water to be added to the mixture to make it 45.5% water is 0.06.

Word problems in mathematics involve the interpretation of word problems into variables and setting an equation to solve those variables.

From the given information:

= (45.5 - 40.0)%

= 5.5%

= 0.055

= 0.06 to the nearest hundredth

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Check the picture below.

so the volume will simply be the area of the hexagonal face times the height.

[tex]\textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\stackrel{\qquad degrees}{\cot\left( \frac{180}{n} \right)}~~ \begin{cases} n=\stackrel{number~of}{sides}\\ s=\stackrel{length~of}{side}\\[-0.5em] \hrulefill\\ n=6\\ s=12 \end{cases}\implies A=\cfrac{1}{4}(6)(12)^2\cot\left( \frac{180}{6} \right) \\\\\\ A=216\cot(30^o)\implies A=216\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the hexagon}}{(216\sqrt{3})}~~\stackrel{height}{(10)}\implies 2160\sqrt{3}~~\approx ~~3741.2~cm^3[/tex]

Step-by-step explanation:

question not complete

do mark Brainliest

Hello! I'm here to help.

The answer is B. ✔

B. is correct because...

[tex]2.805 / 2.58 = 1.08[/tex]

[tex]0.46 / 0.406 = 1.13[/tex]

[tex]1.001 / 1.01 =[/tex] 0.99

That being said, the correct option is B.

Answer:

Points A and B are not on the unit circle.

Step-by-step explanation:

Recall that a "unit circle" has a radius of 1, and so if x² + y² ≠ 1, the point is not on a unit circle.

In A we apply the Pythagorean Theorem as follows:  1² + 1² = 2 ≠ 1.

Therefore, point (1, 1) is not a point on the unit circle.

In B:  if we square the x and y components and add these squares together, we get 3/4 + 1/9, which does not equal 1.  Point not on unit circle.

In C, we get 4/9 and 5/9, which eqals 1.  This point C lies on the unit circle.

In D, we get 0.64 + 0.36 = 1, so this point does lie on the unit circle.

Thus:  not on unit circle:  A(1, 1), B(√3/2, 1/3)

On unit circle:  D(0.8, -0.6), C(-2/3, √5/3)

Answer:

b friday

Step-by-step explanation:

I did 228.7t divided by 314.52 which gave me 0.7273

He make his Exchange on Friday.

The correct option is B.

A currency's relative value expressed in terms of another currency is called an exchange rate (or group of currencies). The exchange rate is a significant economic variable for nations with active international trade, like Australia.

In other words, the exchange rate is the cost of one currency relative to another.

We have,

Day                 $                 €

monday          1                0.7102

tuesday           1                0.7053

wednesday     1                0.6869

thursday          1                0.6910

friday               1                0.7273

saturday          1                0.7544

b friday

So, 228.7 / 314. 52

= 0.7273

Thus, he exchanges on Friday.

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Fraction are ratios of two integers. Lans have covered 1.5km if he ran 25% further than Marianna.

Fraction are ratios of two integers. Given the following parameters

Total distance covered by Marianna = 1.2km

If Ian runs 25% further than Marianna, the total distance covered by lan is expressed as:

Total distance covered by Lan .= 1.25 * 1.2
Total distance covered by Lan = 1.5km

Hence Lans have covered 1.5km if he ran 25% further than Marianna.

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Answer:

The answer is

→ C.) The graph starts flat but curves steeply upward.

Step-by-step explanation:

Explaining option C:

The quick leaps in y-coordinates indicate that it continues to travel higher up faster and faster while the x-coordinates proceed continuously.

The first choice is incorrect since the slope formula yields a value of 15 for the slope. The second choice is incorrect since it is impossible for it to be a horizontal line unless x = 0, which it is not because it equals 2. The last choice is incorrect because, rather of continuously increasing in size, a parabola function begins to decrease in size (the vertex would be visible in the function if this was a parabola.)

Therefore, Option C.) The graph starts flat but curves steeply upward is your answer.

Hope this helped! :^)

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- ✨7272033Alt✨

Submitted on 4/20/2022 at 12:45 PM

(To avoid plagarism, by users whom decide to copy.)

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

the question asks us to rationalise the given expression !

so let's start ~

[tex] \frac{6 - 4 \sqrt{3} }{6 + 4 \sqrt{3} } \\ \\ \implies \: \frac{6 - 4 \sqrt{3} }{6 + 4 \sqrt{3} } \: \times \: \frac{6 - 4 \sqrt{3} }{6 - 4 \sqrt{3} } = \frac{(6 - 4 \sqrt{3}) {}^{2} }{6 {}^{2} - 4 \sqrt{3} {}^{2} } \\ \\ \implies \frac{\: 6 {}^{2} + 4 \sqrt{3} {}^{2} - (2 \times 6 \times 4 \sqrt{3} )}{36 - 48} \\ \\ \implies \: \frac{36 + 48 - 48 \sqrt{3} }{ - 12} \\ \\ \implies \: \frac{84 + 48 \sqrt{3} }{ - 12} \\ \\ \implies \: \frac{ \cancel{- 12}(7 - 4 \sqrt{3} )}{ \cancel{ - 12} } \\ \\ \implies \: 7 - 4 \sqrt{3} [/tex]

hope helpful :D

Answer:

-7+4√3.

Step-by-step explanation:

6-4√3 / 6+4√3     Multiply top and bottom by  6-4√3:-

=  (6-4√3)( 6-4√3) / (6+4√3)(6- 4√3)

= (36-24√3- 24√3+48) / (36-48)

= (36-48√3+48) / (-12)

= -3 +4√3 - 4

=  -7 + 4√3.

Answer:

a = 15

b = 0

c = 9

Step-by-step explanation:

Given:

[tex]\displaystyle \large{15x^2+9}[/tex]

To find:

Quadratic Expression:

[tex]\displaystyle \large{ax^2+bx+c}[/tex]

Compare coefficients:

[tex]\displaystyle \large{ax^2+bx+c=15x^2+0x+9}[/tex]

Therefore, compare like terms as we get:

Therefore, your answer is a = 15, b = 0, c = 9