what number equals 2/9?​

The actual measurement of the length of the colored face of the aquarium is D. 36 inches by 14 inches.

Generally, a scale drawing is described as a drawing that has been reduced or enlarged from its original size to a specified scale.

For instance, the scale of the drawing of the original aquarium is ¹/16.  This implies that the length, width, and height have been scaled down to one-sixteenth of the original size.

Scale drawing = ¹/16 of the original aquarium

Length of the colored face = 2¹/₄ inches

The actual length of the colored face = 36 inches (2¹/₄ inches x 16)

Thus, the actual measurement of the length of the colored face of the aquarium is D. 36 inches by 14 inches.

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Answer:

The answer is D

Step-by-step explanation:

(7/x² × x²)+(1/3×x²)+(x+2/x × x²)

(7 + x/3 + x²+2x) times 3 to eliminate the 3 under x/3

so u will get 21+x+3x²+6x

Final answer = 3x²+7x+21

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

Reason:

There are 20 ways to pick the first person, 19 for the next, and 18 for the last. We count down by one each time we fill up a slot since we cannot reselect any person more than once.

If order mattered, then we'd have 20*19*18 = 6840 permutations.

However, order does not matter because no member has a special seat or role. The individual members don't matter and instead it's all about the group.

Notice that for any group of 3 people, there are 3*2*1 = 6 ways to arrange such individuals. We have to divide by 6 to go from 6840 permutations to 6840/6 = 1140 combinations.

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

Here's a more formulaic approach using the nCr combination formula.

Plug in n = 20 and r = 3

[tex]n C r = \frac{n!}{r!(n-r)!}\\\\20 C 3 = \frac{20!}{3!*(20-3)!}\\\\20 C 3 = \frac{20!}{3!*17!}\\\\20 C 3 = \frac{20*19*18*17!}{3!*17!}\\\\ 20 C 3 = \frac{20*19*18}{3!}\\\\ 20 C 3 = \frac{20*19*18}{3*2*1}\\\\ 20 C 3 = \frac{6840}{6}\\\\ 20 C 3 = 1140\\\\[/tex]

Answer:

This will be option D

Replace the k with -1/2 and f(x) with x^2

this will look like -1/2*x^2

plug this into a graphing website such as Desmos

Answer:

50.41 feet

Step-by-step explanation:

Hypotenuse = length of ladder

31 = opposite side of angle

sin(angle) = (opposite)/(hypotenuse)

sin(78) = (36)/(hypotenuse)

hypotenuse = sin(78)/ (36)

hypotenuse = 50.41 feet

length of ladder = 50.41 feet

The value of mathematical expression is,

⇒ 55 ÷ x

⇒ 55 / x

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The word phrase is,

''The quotient of 55 and x.''

Now, The value of mathematical expression is,

''The quotient of 55 and x.''

⇒ 55 ÷ x

⇒ 55 / x

Therefore, The value of mathematical expression is,

⇒ 55 ÷ x

⇒ 55 / x

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Answer:

A = 120 C = 45

Step-by-step explanation:

180 - 15 = 165
(12x + 12) + (3x + 18) = 165
15x + 30 = 165
15x = 135
135 ÷ 15 = 9
x = 9

A = (12x + 12) = 108 + 12 = 120
C = (3x + 18) = 27 + 18 = 45

Answer:

10,560

Step-by-step explanation:

8 x 1/4 --> 8/1 x 1/4

= 8/4 or 2

5,280 x 2 = 10,560

Answer:

47.

Step-by-step explanation:

1) the rule:

[tex]f_{avr}=\frac{1}{b-a} \int\limits^b_a {f(x)} \, dx ,[/tex]

where a;b are 0 and 12, f(x)=x²-1.

2) according to the rule above:

[tex]f_{avr}=\frac{1}{12-0} \int\limits^{12}_0 {(x^2-1)} \, dx=\frac{1}{12}(\frac{x^3}{3}-x)|^{12}_0=48-1=47.[/tex]

Answer:

3/16

Step-by-step explanation:

The probability of spining an E is 3/8 and the probability of fliping heads on a coin is 1/2 so the probablility of both those things happening is 1/2*(3/8) or 3/16

Answer:

i hope it helped you

Step-by-step explanation:

please check it out thanks

Answer:

9

Step-by-step explanation:

I hope that helps...

✰ Given Information :-

⠀

A cylinder with following dimensions :

⠀

✰ To Find :-

⠀

⠀

✰ Formula Used :-

⠀

[tex] \qquad \star \: \underline{ \boxed{ \purple{\sf Volume_{Cylinder} = \pi {r}^{2} h}}} \: \star[/tex]

⠀

Where,

⠀

✰ Solution :-

⠀

Putting the values in the formula, we get,

⠀

[tex] \sf \longrightarrow Volume=3.14 \times {(3)}^{2} \times 5 \\ \\ \\ \sf \longrightarrow Volume=3.14 \times 45 \: cm \: \: \: \: \: \\ \\ \\ \sf \longrightarrow \underline{ \boxed{ \green{ \frak{Volume= {141 .3 \: cm}^{3} }}}} \: \star \: \: \: \: \: \\ [/tex]

⠀

Thus, the volume of the cylinder is 141.3 cm³.

⠀

[tex] \underline{ \rule{230pt}{2pt}} \\ \\ [/tex]

Step-by-step explanation:

As it is given that, a cylinder has radius 3 inches and height 5 inches and we are to find the volume of the cylinder, also a extra information is given that is a cone has the same radius and height.

[tex] \: [/tex]

We know,

[tex]{ \longrightarrow\qquad{\frak {\pmb{Volume_{(cylinder) } = \pi {r}^{2}h }}}} \\ \\[/tex]

Where,

[tex] \: [/tex]

Now, we will substitute the given values in the formula :

[tex] \: [/tex]

[tex]{ \longrightarrow\qquad{\sf {\pmb{Volume_{(cylinder) } = 3.14 \times ( {3})^{2} \times 5 }}}} \\ \\[/tex]

[tex]{ \longrightarrow\qquad{\sf {\pmb{Volume_{(cylinder) } = 3.14 \times 9 \times 5 }}}} \\ \\[/tex]

[tex]{ \longrightarrow\qquad{\sf {\pmb{Volume_{(cylinder) } = 3.14 \times 45 }}}} \\ \\[/tex]

[tex]{ \longrightarrow\qquad{\frak {\pmb{Volume_{(cylinder) } = 141.3 }}}} \\ \\[/tex]

Note :

Answer:

  D.  A travels 90 miles more

Step-by-step explanation:

The graph tells you Car A travels 140 miles on 5 gallons of gas. (There is a point marked there on the graph.)

The table tells you Car B travels 99 miles on 4.5 gallons of gas. When that is multiplied by 5/4.5 = 10/9 to get the equivalent for 5 gallons, we see that Car B could travel 10/9 × 99 = 110 miles on 5 gallons of gas.

__

Already on 5 gallons of gas, Car A has traveled 30 miles farther. The only sensible answer choice is ...

  D.  Car A travelled 90 miles more than Car B [when 15 gallons are used].

The average velocity is the rate of the distance function over time

The average velocity over the interval [1, 3] is 8 kilometers per hour

The distance function is given as:

d(t) = 8(t³ - 6t² + 12t)

The interval is given as: [1,3]

Calculate d(1) and d(3)

d(3) = 8(3³ - 6 * 3² + 12 * 3)

Evaluate

d(3) = 72

d(1) = 8(1³ - 6 * 1² + 12 * 1)

Evaluate

d(1) = 56

The average velocity (v) is the calculated as:

v = (d(3) - d(1))/(3 - 1)

Substitute known values

v = (72 - 56)/(3 - 1)

Evaluate

v = 8

Hence, the average velocity over [1, 3] is 8 kilometers per hour

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Answer:

B = A + 3

Step-by-step explanation:

Let B be the length of Garden B and A the length of Garden A.

We are told that B = A + 3

We can use this equation to find the length of Garden B.

Answer:

the common factors for both are 1,2,3,6

Answer:

the means to and reroof is 10

the distributions are somewhat similar

Step-by-step explanation:

Answer:

the distributions are different

We will see that the perimeter of the rectangle is exactly 390 ft, so the statement is true.

For a rectangle of length L and width W, the perimeter is given by:

P = 2*(L + W).

In this case, we know that:

L = 120 ft

W = 75 ft

Replacing that on the perimeter equation we get:

P = 2*(120 ft + 75  ft) = 390 ft

So the perimeter is exactly 390 ft, meaning that to put a fence around the parking lot the company will need at least 390 ft of fence.

So the statement is correct.

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Answer:

As Per Provided Information

Radius of cylindrical shape silo 9 ft

Height of cylindrical shape silo 41 ft

We have been asked to determine the volume of cylindrical silo .

[tex] \boxed{\sf \: Volume_{(Cylindrical\:Silo)} = \pi {r}^{2}h}[/tex]

Substituting the given value in above formula and we obtain

[tex] \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times {9}^{2} \times 41 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times 81 \times 41 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times 3321 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 10427.94 \: {ft}^{3} \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 10428 \: {ft}^{3}[/tex]

Answer:

Volume is 10428 cubic ft.

Step-by-step explanation:

Given :-

To find:-

Solution:-

Putting the known values ,

Volume:- 3.14 × 9² × 41 cubic ft.

Volume :- 10427.94 cubic ft.

rounding off to nearest whole number ,

Volume :- 10428 cubic ft.

Answer:

15.6204994

Step-by-step explanation:

[tex]15.6204994^{2} = 244\\so\\\sqrt{244} = 15.6204994[/tex]

hope this helps!

Answer:

Answer:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

Step-by-step explanation:

Standard equation of a circle:  \sf (x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2

(where (a, b) is the center and r is the radius of the circle)

Substitute the given center (-14, -5) into the equation:

\sf \implies (x-(-14))^2+(y-(-5))^2=r^2⟹(x−(−14))2+(y−(−5))2=r2

\sf \implies (x+14)^2+(y+5)^2=r^2⟹(x+14)2+(y+5)2=r2

Now substitute the point (-7, 5) into the equation to find r²:

\sf \implies ((-7)+14)^2+(5+5)^2=r^2⟹((−7)+14)2+(5+5)2=r2

\sf \implies (7)^2+(10)^2=r^2⟹(7)2+(10)2=r2

\sf \implies 149=r^2⟹149=r2

Final equation:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

The balance in the account after 30 years will be $91,745.06, the total amount of money put into the account will be $54,000 and  the total interest earned will be $37,745.06.

percentage, a relative value indicating hundredth parts of any quantity.

We can use the formula for the future value of an annuity to answer these questions:

FV = PMT(((1 + r)ⁿ - 1) / r)

a. To find how much will be in the account in 30 years, we need to calculate the future value of the annuity after 30 years of monthly deposits.

There are 12 months in a year, the number of months is:

n = 30 years × 12 months/year = 360 months

The monthly interest rate is:

r = 3% / 12 = 0.0025

Substituting the given values into the formula, we get:

FV = $150 × (((1 + 0.0025)³⁶⁰ - 1) / 0.0025)

= $91,745.06

b. To find the total amount of money put into the account, we need to multiply the monthly payment by the number of months:

Total amount = $150/month × 360 months
= $54,000

c. To find the total interest earned, we need to subtract the total amount of money put into the account from the future value of the annuity:

Total interest = $91,745.06 - $54,000

= $37,745.06

Therefore, the balance in the account after 30 years will be  $91,745.06, the total amount of money put into the account will be $54,000 and  the total interest earned will be $37,745.06.

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Answer:

B. Pentagon

Step-by-step explanation:

A Pentagon is a polygon with 5 sides like this one.

Hope that helps!

Answer:

I don’t get it

Step-by-step explanation:

I think it is 5

its 54 also for some reason my comment keeps getting deleted for saying 54??

Answer:

8/3

Step-by-step explanation:

Answer:

C) 63°

Step-by-step explanation:

Just add the numbers up together to get your solution

The dimensions of the parallelogram to the nearest hundredth of an inch are 6.54 in and 3.06 in.

Trigonometry would be used to determine the base and the length of the parallelogram.

Base: cos 40 = adjacent /hypotenuse

0,7660 = adjacent / 4

adjacent = 4 x 0.7660 = 3.06 in

Length = area / base

20 / 3.06 = 6.54 in

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Answer:

[tex]x= \dfrac 72, ~~y= -2[/tex]

Step by step explanation:

[tex]4x+5y=4~~~...(i)\\\\2x-y=9~~~...(ii)\\\\\text{Multiply eq (ii) by 2 to isolate x:}\\\\4x-2y=18~~~.....(iii)\\\\(iii)-(i):\\\\4x-2y-4x-5y=18-4\\\\\implies -7y=14\\\\\implies y = -\dfrac{14}7 = -2\\\\\text{Substitute}~ y=-2~ \text{in equation (iii):}\\\\4x-2(-2) = 18\\\\\implies 4x +4 = 18\\\\\implies 4x = 18-4\\\\\implies 4x = 14\\\\\implies x = \dfrac{14}4 = \dfrac 72\\\\\text{Hence}~ (x,y) =\left(\dfrac 72 , -2 \right)[/tex]

Step-by-step explanation:

4x+5y=4 (equation 1)

2x-y=9 (equation2)

solving equation 1 and 2 and multiplying equation 2 by 2

4x+5y=4

4x-2y=18

- + -

________

7y= -14

y= -2

putting the value of y in equation 2

2x-y=9

2x+2=9

2x=7

x=3.5

Answer:

  (b)  32x^3 - y^3 + 42x^2y + 11xy^2 + 17

Step-by-step explanation:

To find the difference of the polynomials, write the equation expressing the difference, then simplify.

  (19x^3 +44x^2y + 17) - (y^3 -11xy^2 +2x^2y -13x^3)

  = (19 -(-13))x^3 -y^3 +(44 -2)x^2y +(-11)xy^2 +17

  = 32x^3 -y^3 +42x^2y -11xy^2 +17

Answer:

30

Step-by-step explanation:

There are a few different ways we can approach this problem.  

The easiest way is to flip the second fraction and multiply:

[tex]\dfrac{18}{5} \div \dfrac{3}{25}=\dfrac{18}{5} \times \dfrac{25}{3}=\dfrac{18 \times 25}{5 \times 3}[/tex]

To do this without a calculator, rewrite 18 as 6 x 3 and 25 as 5 x 5:

[tex]\dfrac{18 \times 25}{5 \times 3}=\dfrac{6 \times 3 \times 5 \times 5}{5 \times 3}[/tex]

Now we can cancel out the common factors of 5 and 3 from the numerator and denominator, and are left with:

[tex]\implies 6 \times 5 =30[/tex]

The quotient obtained from the division of given fractions is 30.

Given that, 18/5 divided by 3/25.

Dividing fractions is nothing but multiplying the fractions by reversing one of the two fraction numbers or by writing the reciprocal of one of the fractions. By reciprocal we mean, that if a fraction is given as a/b, then the reciprocal of it will b/a.

Here, 18/5 ÷ 3/25

= 18/5 × 25/3

= 6/1 × 5/1

= 30/1

Therefore, the quotient obtained from the division of given fractions is 30.

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