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9514 1404 393

Answer:

  a) $540 cost to paint

  b) 72000 liters to fill

Step-by-step explanation:

Relevant formulas are ...

  P = 2(L +W) . . . . perimeter of a rectangle of length L and width W

  A = LW . . . . . . area of a rectangle of length L and width W

  V = LWH . . . volume of a cuboid of length L, width W, and height H

__

a) The total painted area is the area of the pool walls plus the area of the pool bottom. The wall area is the product of pool perimeter and wall height. The bottom area is the product of pool length and width.

  A = PH + LW = 2(L +W)H +LW

  A = 2(8 m +6 m)(1.5 m) + (8 m)(6 m) = 42 m² +48 m² = 90 m²

At $6 per square meter, the cost of painting the pool is ...

  ($6 /m²)(90 m²) = $540 . . . . cost to paint the pool

__

b) The volume in liters is best figured using the dimensions in decimeters.

  V = (80 dm)(60 dm)(15 dm) = 72000 dm³ = 72000 L

72000 liters will be needed to fill the pool.

Answer:

Hello,

Answer A

Step-by-step explanation:

if x=0 then sin(2*0)=sin(0)=0

if x= π/4 then sin(π/2)=1

if x= π/2 then sin(π)=0

The equation of the sinusoid will be y=Sin(2x)

It is defined as the relation between two variables, for a sinusoidal wave the equation will be in the form of Sin or Cos.

if x=0 then sin(2*0)=sin(0)=0

if x= π/4 then sin(π/2)=1

if x= π/2 then sin(π)=0

Hence the equation of the sinusoid will be y=Sin(2x)

To know more about equations follow

https://brainly.com/question/2972832

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[tex]\\ \sf\longmapsto \dfrac{r}{11}+3+r[/tex]

[tex]\\ \sf\longmapsto \dfrac{22}{11}+3+22[/tex]

[tex]\\ \sf\longmapsto 2+3+22[/tex]

[tex]\\ \sf\longmapsto 22+5[/tex]

[tex]\\ \sf\longmapsto 27[/tex]

Answer:

Step-by-step explanation:

Your question is not displaying properly.

y = f(x) = x³ - 6x² + 12x - 8 = (x-2)³

x-2 = ∛y

x = 2 + ∛y

Switch x and y:

y = 2 + ∛x

f ⁻¹ (x) = 2 + ∛x

Answer:

574

Step-by-step explanation:

To round a two-digit number to the nearest ten, simply increase it or decrease it to the nearest number that ends in 0: When a number ends in 1, 2, 3, or 4, bring it down; in other words, keep the tens digit the same and turn the ones digit into a 0

Hope this helps <3

Answer:

Triangle

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

It looks like you want to compute the double integral

[tex]\displaystyle \iint_D (x+y) \,\mathrm dx\,\mathrm dy[/tex]

over the region D with the unit circle x ² + y ² = 1 as its boundary.

Convert to polar coordinates, in which D is given by the set

D = {(r, θ) : 0 ≤ r ≤ 1 and 0 ≤ θ ≤ 2π}

and

x = r cos(θ)

y = r sin(θ)

dx dy = r dr dθ

Then the integral is

[tex]\displaystyle \iint_D (x+y)\,\mathrm dx\,\mathrm dy = \iint_D r^2(\cos(\theta)+\sin(\theta))\,\mathrm dr\,\mathrm d\theta \\\\ = \int_0^{2\pi} \int_0^1 r^2(\cos(\theta)+\sin(\theta))\,\mathrm dr\,\mathrm d\theta \\\\ = \underbrace{\left( \int_0^{2\pi}(\cos(\theta)+\sin(\theta))\,\mathrm d\theta \right)}_{\int = 0} \left( \int_0^1 r^2\,\mathrm dr \right) = \boxed{0}[/tex]

Answer:

(y+6)(y+3)

Step-by-step explanation:

[tex] {y}^{2} + 6y + 18 \\ {y}^{2} + 6y + 3y + 18 \\ y(y + 6) + 3(y + 6) \\ (y + 6)(y + 3)[/tex]

Answer:

With giving this answer I'm assuming you are factoring the equation: (y+6) · (y+3)

Step-by-step explanation:

[tex]y^{2}[/tex] + 9y + 18

So we can factor this equation write 9y as a sum of two numbers by simply finding two numbers that add up to 9 and multiply to 18 those numbers are 6 and 3

[tex]y^{2}[/tex] + 6y + 3y + 18

Factor: y(y + 6) + 3(y + 6)

Combine like terms: (y + 3) * (y + 6)

Answer:

Since Both the Blue and Yellow cost the same..

Represent the cost per gallon with x

4 gallons of Blue would cost 4x

3 gallons of Yellow would cost 3x

Total cost = $105

Therefore

4x + 3x = 105 ✅ Is a correct statement.

7x = 105 ✅ Is also another correct statement.

These two are the only correct statements I'm seeing there.

Option B is Incorrect because Price per gallon is

105/7 = $15.

D is wrong by simple Logic.

E is also wrong.

Check the Question you typed to see if You made any Errors...

If I'm wrong also... By all Means...Correct Me.

Have a great day!

Answer:

It results in no solution.

Step-by-step explanation:

If you subtract x on both sides, this will leave you with 0 ≠ 3. The result is no solution. This is why it is contradictory.

Answer:

6.8 feet

Answer From Gauth Math

Width = area/length = 22.6/5.2 = 113 ≈/26

Diagonal = √[length² + width²] ≈ √23.0 feet

Answer:

90 degrees

Step-by-step explanation:

the right angles in the top right and bottom left mean its a square

Answer:

x = 11/10

Step-by-step explanation:

5(2x - 1) = 6

Distribute

10x -5 = 6

Add 5 to each side

10x-5+5 = 6+5

10x = 11

Divide each side by 10

10x/10 = 11/10

x = 11/10

Answer: 1 1/2miles/h or 1.5miles/h

Step-by-step explanation:

Total miles walked by zoe in 6 hours = 9miles

Her walking rate = Distance/Time

= 9/6

= 3/2

= 1 1/2

Therefore her walk rate is 1 1/2miles/h or 1.5miles/h

Must click thanks and mark brainliest

Answer:

I think the value of first number is 30.

Answer:

Step-by-step explanation:

Hemisphere Volume = (2/3) * PI * radius^3

sphere radius^3 = Hemisphere Volume / ((2/3) PI)

sphere radius^3 = 62,617 / 2.0943951024

sphere radius^3 = 29,897.4152147556

sphere radius = 31.0368674154

sphere diameter = 62.1 cm (rounded to nearest tenth of a centimeters)

Answer:

62.1

Step-by-step explanation:

→ Set up an equation

[tex]\frac{2}{3}[/tex]  × π × r³ = 62617

→ Divide both sides by π

[tex]\frac{2}{3}[/tex]  × r³ = 19931.61014

→ Divide both sides by  [tex]\frac{2}{3}[/tex]

r³ = 29897.41521

→ Cube root both sides

r = 31.03686742

→ Double the answer to find the diameter

31.03686742 × 2 = 62.1

Answer:

2m^3 + 3m^2

Step-by-step explanation:

8m^4+12m^3

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

4m

2m^3 + 3m^2

Check

4m(2m^3+3m^2)

8m^4 + 12 m^3

Formula-

If a set has “n” elements, then the number of subset of the given set is 2n and the number of proper subsets of the given subset is given by 2n-1. Consider an example, If set A has the elements, A = {a, b}, then the proper subset of the given subset are { }, {a}, and {b}

Symbol that can be used-

The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of".

Hope it helps you... pls mark brainliest if it helped you.

Answer:

the second option: (x-1)squared +2

Explanation:

The x value of the vertex can be found in the parenthesis after the x. However, you have to do the opposite value of it. So, since the paranthesis has (x-1) then that means that the vertex's x-value has to be 1.

For the y-value of the vertex, that can be found after the paranthesis. This value will not be used as the opposite like with the x-value. So, we know that in (x-1)^2 +2 the "+2" indicates the y-value to be 2.

9514 1404 393

Answer:

  3. 151°

  4. 42°

Step-by-step explanation:

3. The measure of the supplement is found by subtracting the angle from 180°.

  supplement of 29° = 180° -29° = 151°

__

4. The total of angles in a triangle is 180°, so the third one can be found by subtracting the other two from 180°.

  third angle = 180° -128° -10° = 42°

Answer:

A. 20•5+9

B.109 flies

The rocks are chosen without replacement, which means that the hypergeometric distribution is used to solve this question. First we get the parameters, and then we answer the questions. From this, we get that:

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The mean and the variance are:

[tex]\mu = \frac{nk}{N}[/tex]

[tex]\sigma^2 = \frac{nk(N-k)(N-n)}{N^2(N-1)}[/tex]

We have that:

5 + 7 = 12 rocks, which means that [tex]N = 12[/tex]

9 are chosen, which means that [tex]n = 9[/tex]

7 are granite, which means that [tex]k = 7[/tex]

Question a:

[tex]E(X) = \mu = \frac{9\times7}{12} = 5.25[/tex]

[tex]Var(X) = \sigma^2 = \frac{9\times7(12-7)(12-9)}{12^2(12-1)} = 0.5966[/tex]

Thus:

[tex]E(X) = 5.25, Var(X) = 0.5966[/tex]

Question b:

Since there are only 5 specimens of basaltic rock, at least 9 - 5 = 4 specimens of granite are needed, which means that:

[tex]P(X < 6) = P(X = 4) + P(X = 5) + P(X = 6)[/tex]

In which

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 4) = h(4,12,9,7) = \frac{C_{7,4}*C_{5,5}}{C_{12,9}} = 0.1591[/tex]

[tex]P(X = 5) = h(5,12,9,7) = \frac{C_{7,5}*C_{5,4}}{C_{12,9}} = 0.4773[/tex]

[tex]P(X = 6) = h(6,12,9,7) = \frac{C_{7,6}*C_{5,3}}{C_{12,9}} = 0.3181[/tex]

Thus

[tex]P(X < 6) = P(X = 4) + P(X = 5) + P(X = 6) = 0.1591 + 0.4773 + 0.3181 = 0.9545[/tex]

So P(X < 6) = 0.9545.

Question c:

5 of basaltic and 4 of granite: 0.1591 probability.

7 of granite is P(X = 7), in which

[tex]P(X = 7) = h(7,12,9,7) = \frac{C_{7,7}*C_{5,2}}{C_{12,9}} = 0.0455[/tex]

0.1591 + 0.0455 = 0.2046, thus:

P(all specimens of one of the two types of rock are selected for analysis) = 0.2046.

A similar question is found at https://brainly.com/question/24008577

Answer:

4.0

Step-by-step explanation:

50% means half.

Divide by 2.

7.9 ÷ 2 = 3.95.

Round to the tenths place.

4.0

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

Hello,

Step-by-step explanation:

[tex]mes\ \widehat{C}=180^o-82^o - 52^o=46^o\\\\Using\ law\ of\ sinus:\\\dfrac{AB}{sin(C)}= \dfrac{AC}{sin(B)} \\\\\dfrac{450}{sin(46^o)}= \dfrac{AC}{sin(52^o)} \\\\AC=\dfrac{450*sin(52^o)}{sin(46^o)}= 492.9587..(ft)\approx{493(ft)}[/tex]

Answer:

65 feet and 2 inches

Step-by-step explanation:

to find the area of a rectangle you need to multiply length times width in this case 17" times 3'10". But first you must convert everything into the same form(in this case feet) so first you can convert everything to inches by multiplying 3 times 12  which gives you 36 then add the 10, so it is now 46 inches then multiply that by 17 and altogether it is 782 inches, then divide by 12 (to convert it back to feet) and the answer is 65.1666666667. After you can round and get 65 feet and 2 inches.

Answer:

Step-by-step explanation:

Sin2x=0,291​