Use the Pythagorean Theorem to find the m
14.1
X
X=
14.7

The volume of each marble is 0.05 liter

The volume function is given as:

w = 32 - 0.05n

The variable n represents the number of marbles.

This means that 0.05n represents the volume of n marbles and 32 represents the total volume of the glass tank

To get the volume of each marble, we divide 0.05n by n

i.e.

Volume = 0.05n/n = 0.05

Hence, the volume of each marble is 0.05 liter

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Answer:

A triangle has side lengths 10 feet, V205 feet, and V105 feet

Step-by-step explanation:

Vertex is located over the center of the base of a regular pyramid.

Vertex angle is defined as the angle formed by two lines or rays that intersect at a point. These two rays make the sides of the angle.

Here,  Vertex is the point which is located over the center of the base of a regular pyramid.

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Answer:

1.01 teaspoons is equal to 5 ml

Step-by-step explanation:

it goes up by ( 0.202884 )

1 ml 0.202884 tsp

2 ml 0.405768 tsp

3 ml 0.608653 tsp

4 ml 0.811537 tsp

5 ml 1.0144 tsp

6 ml 1.2173 tsp

7 ml 1.4202 tsp

Hope This Helped

Answer:

4 different ways

Step-by-step explanation:

there are four different ways she can post it because there are four posters she want to hang on the wall.

Answer: [tex]fx[/tex]

The slope is 0, and

the y-intercept is (0, 0)

[tex]\left[\begin{array}{ccc}x&y\\0&0\\1&0\end{array}\right][/tex]

In order to find the graph of "f(x)", we need to graph the line using the slope and y-intercept, or two points.

Answer:

The correct answer is 13%.

Step-by-step explanation:

We can easily put in the equation:

95 - 82 = 13

Hope this helps:) Goodluck!

Answer:

Nadya have 11 pieces of ribbon

Answer:

See below.... several options

Step-by-step explanation:

Change is $3.56

  3 dollar bills    one 50 c piece     one nickel      one penny

  (though 50 cent  pieces are uncommon.....this may be 2 quarters)

[For a while , there was $ 2 bills

   so it could be   one 1 dollar bill and one $ 2 bill instead of three dollar bills]

The solution to the questions are:

As a general rule, the sum of cubes x³ and y³ is:

x³ + y³= (x+y)(x² - xy + y²)

Replace x with a and y with b

a³ + b³= (a + b)(a² - ab + b²)

Hence, the expression that represents the factoring pattern is (a + b)(a² - ab + b²)

The equation is given as:

x³ + 2x² - 9x = 18

Subtract 18 from both sides

x³ + 2x² - 9x - 18 = 0

Factorize the expression

x²(x + 2) - 9(x + 2) = 0

Factor out x + 2

(x²- 9)(x + 2) = 0

Express x²- 9 as a difference of two squares

(x + 3)(x - 3)(x + 2) = 0

Split

(x + 3)  = 0 or (x - 3)  = 0 or (x + 2) = 0

Remove brackets

x + 3  = 0 or x - 3  = 0 or x + 2 = 0

Solve for x

x = -3, x = 3 and x = -2

Hence, the solutions of the equation x³ + 2x² - 9x = 18 are x = -3, x = 3 and x = -2

The polynomial equation is given as:

0 = x³ + 2x² - 5x - 6

Rewrite as:

x³ + 2x² - 5x - 6 = 0

Factorize the expression on the left-hand side

(x + 3)(x + 1)(x - 2) = 0

Split

x + 3 = 0 or x + 1 = 0 or x - 2 = 0

Solve for x

x = -3 or x = -1 or x = 2

Hence, the other roots are x = -3 and x = 2

The expression is given as:

(x² - 1) - (x³ - 2x + 1)

Expand

x² - 1 - x³ + 2x - 1

Collect like terms

- x³ + x² + 2x - 1 - 1

Evaluate the like terms

- x³ + x² + 2x - 2

Hence, the result of subtracting the expressions is - x³ + x² + 2x - 2

The polynomial is given as:

y = (x² - 1)(x + 2)(x + 4)

Express x² - 1 as a difference of two squares

y = (x - 1)(x + 1)(x + 2)(x + 4)

The power of each factor in the above expression is 1.

This means that the largest multiplicity is 1

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Answer:

D.

Step-by-step explanation:

You can see it in the graphs after you plot it.

Answer:  Choice C

[tex]\frac{\sqrt[12]{55,296}}{2}[/tex]

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

Explanation:

Recall the process to rationalize the denominator is to multiply top and bottom by the denominator expression. This only works if we have a square root in the denominator.

For cube roots, we'll need to multiply two copies of the denominator to top and bottom. This will get us three copies of [tex]\sqrt[3]{2}[/tex] so that the cube root goes away.

Check out the steps below to see what I mean:

[tex]\frac{\sqrt[4]{6}}{\sqrt[3]{2}}\\\\\\\frac{\sqrt[4]{6}\sqrt[3]{2}\sqrt[3]{2}}{\sqrt[3]{2}\sqrt[3]{2}\sqrt[3]{2}}\\\\\\\frac{6^{1/4}*2^{1/3}*2^{1/3}}{\left(\sqrt[3]{2}\right)^3}\\\\\\\frac{6^{3/12}*2^{4/12}*2^{4/12}}{2}\\\\\\\frac{\left(6^3*2^4*2^4\right)^{1/12}}{2}\\\\\\\frac{\left(55,296\right)^{1/12}}{2}\\\\\\\frac{\sqrt[12]{55,296}}{2}\\\\\\[/tex]

In short,

[tex]\frac{\sqrt[4]{6}}{\sqrt[3]{2}}=\frac{\sqrt[12]{55,296}}{2}[/tex]

We have the 12th root of 55,296 all over top the integer 2. The "2" is not part of the 12th root. This shows why choice C is the final answer.

Answer:

C

Step-by-step explanation:

Answer:

C. 3x + 2y = 12

explanation:

Answer:

  C.  ∆LMN ~ ∆OPQ, because of AA

Step-by-step explanation:

All of the triangle congruence postulates require at least one pair of corresponding sides be congruent (in addition to other requirements). Triangle similarity can be proved if there are two pairs of congruent corresponding angles.

__

No sides are given as congruent, so no congruences can be proved.

Two pairs of corresponding angles are said to be congruent, so we can say ...

  ∆LMN ~ ∆OPQ, because of AA

Answer:

Part A = 7

Part B = 1

I hope this is right, sorry if it isn't

Answer:

See below

Step-by-step explanation:

5 cups cheese    /  ( 2/3 cup cheese/plate ) =

 5 * 3/2  = 15/2   = 7 1/2     or   7 full plates

2/3 cup cheese / plate  * 9 plates  =

   2/3 * 9 = 6 cups cheese   total

       she has 5 cups to start.....she will need 1 cup more

The approximate rate of change in the number of tickets sold between 10:00 a.m. and 1:00 p.m. -21 tickets per hour

The missing part of the question is represented by the following function:

[tex]T(h) = \frac{386 + 110h}{h}[/tex]

10:00 a.m is 3 hours after 7:00 am and 1:00 p.m is 6 hours after 7:00 am.

This means that:

h = 3 at 10:00 am

h = 6 at 1:00 pm

Next, we calculate T(3) and T(6)

[tex]T(3) = \frac{386 + 110*3}{3} =238.7[/tex]

[tex]T(6) = \frac{386 + 110*6}{6} =174.3[/tex]

The average rate of change is then calculated as:

[tex]T'(h) = \frac{T(3) - T(6)}{3 - 6}[/tex]

This gives

[tex]T'(h) = \frac{238.7 - 174.3}{-3}\\[/tex]

Evaluate

T'(h) = -21

This means that the approximate rate of change in the number of tickets sold between 10:00 a.m. and 1:00 p.m. -21 tickets per hour

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Answer:

6¹¹

Step-by-step explanation:

Simplifying the numerator :

Solving the expression :

The constant of proportionality in terms of the number of flowers per plant is 5.

If two quantities varies directly to each other i.e if y varies proportional to x then

y =kx   .....[1]  where, k is the constant of proportionality.

Suppose, y represents the number of roses and x represents the number of plants.

Given is the graph shows a proportional relationship between the number of plants and the number of flowers on the plants.  The graph attached below has the coordinates points,

(0, 0)

(1, 5)

(2, 10)

(3, 15)

(4, 20)

Substitute any coordinate points like (3, 15) in above equation to find k.

15 =k x 3

k = 5

Therefore, the constant of proportionality in terms of the number of flowers per plant is 5.

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Answer:

5

Step-by-step explanation:

Answer:

exact area = 81π in.²

approximate area = 254.34 in.²

Step-by-step explanation:

Exact:

area = πr²

r = radius = diameter/2 = 18 in./2 = 9 in.

area = πr²

area = π × (9 in.)²

area = 81π in.²

exact area = 81π in.²

Approximate:

π = 3.14 (approximately)

area = πr²

area = 81π in²

area = 81 × 3.14 in.²

approximate area = 254.34 in.²

Answer:

The period is 2π

Explanation:

The period is 2 times pi because 2 is the standalone-term multiplied by pi to get the period.

Answer:

Hi,

Step-by-step explanation:

The triangles CBA and DEA are equals ( 3 sides 2 to 2 equals), angles CAB and DAE are also equals:

6t-12=18-4t

10t=30

t=3(°)

angle CAB=6t-12=6*3-12=6(°)=angle(DAE)

angle BCA=(180-6)/2=87(°)=angle CBA=angle (ADE)=angle(DEA)

In the triangle represented in the diagram, The value of X is: 23°

A triangle can be defined as a plain shape that has three sides, three edges and three angles.

A triangle is majorly defined as a shape that possesses three angles and their interior angles sum up to 180°

In conclusion, in the triangle represented in the diagram, The value of X is: 23°

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Considering the sum of the internal angles of a triangle, it is value that the value of x is of x = 23º.

A triangle has three angles, and their sum is of 180º.

In this problem, the angles are:

x, 67º, 90º.

Hence:

x + 67º+ 90º = 180º.

x = 23º.

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Answer: pi/4 and -1

Step-by-step explanation:

Answer:

x is the midpoint of a segment in the diahram

Answer:

x is mid point

Step-by-step explanation:

I hope it's helpful for

Answer:

x= 131

y = 49

Step-by-step explanation:

X and 49 form a straight line so they add to 180

x+49 = 180

x = 180-49

x =131

49 and y are alternate interior angles and alternate interior angles have the same value

y = 49

Step-by-step explanation:

please mark me as brainlest

Answer:

x=11

y=0

Step-by-step explanation:

Don't know if this is what you're looking for but this is correct if you plug it in.

X + 4y = 11    Get x by itself.  x=-4y+11  and plug it into the bottom.

X - 6y = 11

simplify -4y+11-6y=11

11-10y=11

-10y=0

y=0 plug it into the original and you will get

x=11

x=11

Answer:

see explanation

Step-by-step explanation:

∠ CZD = 90° , then

∠ CZF = 90° - ∠ FZD = 90° - 40° = 50°

∠ FZD and ∠ AZG are vertically opposite angles and are congruent , so

∠ AZG = 40°

∠ CZF and ∠ GZE are vertically opposite angles and are congruent , so

∠ GZE = 50°

E

∠ AZB + ∠ BZC = 90° , that is

3x - 2 + 32 = 90

3x + 30 = 90 ( subtract 30 from both sides )

3x = 60 ( divide both sides by 3 )

x = 20

Answer:

X= 140

Step-by-step explanation:

I hope this helps. =D

Answer:

x=140

Step-by-step explanation:

1.1x+1.4x=350  1. combine like terms which 1.1x+1.4x

2.5x=350        2. /2.5 on both sides

x=140

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{0})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[1 - (-3)]^2 + [0 - 4]^2}\implies d=\sqrt{(1+3)^2 +(-4)^2} \\\\\\ d=\sqrt{32}\implies d\approx 5.66[/tex]