Ruby scooped 25,000 milliliters of saltwater from her boat. How many liters of saltwater did she scoop? explain your work.

Answer:

\(Max = 18\ mins\)

\(Min = 12\ mins\)

Step-by-step explanation:

Given

\(Time = 15\ mins\)

\(Variation = 3\ mins\)

Required

Determine the max and min values

The max value is calculated as thus:

\(Max = Time + Variation\)

\(Max = 15\ mins + 3\ mins\)

\(Max = 18\ mins\)

The min value is calculated as thus:

\(Min = Time - Variation\)

\(Min = 15\ mins - 3\ mins\)

\(Min = 12\ mins\)

The value of x is; x = 3.14

Here, we have,

from the given diagram, we get,

there is a right angle triangle.

we have to find the value of x.

we know that,

Let the angle be θ , such that

cos θ = base / hypotenuse

here, we get,

cos 17 = 3/x

so, we have,

0.956 = 3/x

so, x = 3.14

Hence, The value of x is;x = 3.14

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Answer:

307°

Step-by-step explanation:

The sum of all the angles of a hexagon is equal to 900°.

So,

112+x+120+100+128+133 = 900

593+x = 900

x = 900-593

x = 307°

So, the value of x is equal to 307°.

Answer:

C

Step-by-step explanation:

7.67 is greater than 7.66666...

Answer:

3.7 ounces

Step-by-step explanation:

You just need to round to nearest 10th place, which is just next number after decimal. Hope it helps ;)

Answer:

sin θ = \(\frac{\sqrt{6} }{3}\)

Step-by-step explanation:

Given that,

cos θ = \(\frac{\sqrt{3} }{3}\)

From the trigonometric functions,

cos θ = \(\frac{adjacent}{hypotenus}\)

⇒ adjacent = \(\sqrt{3}\), and the hypotenuse = 3

Let the opposite side be represented by x, applying the Pythagoras theorem we have;

\(/hyp/^{2}\) = \(/adj/^{2}\) + \(/opp/^{2}\)

\(/3/^{2}\) = \((\sqrt{3} )^{2}\) + \(x^{2}\)

9 = 3 + \(x^{2}\)

\(x^{2}\) = 9 - 3

   = 6

x = \(\sqrt{6}\)

Thus, opposite side = \(\sqrt{6}\)

So that,

sin θ = \(\frac{opposite}{hypotenuse}\)

        = \(\frac{\sqrt{6} }{3}\)

Therefore,

sin θ = \(\frac{\sqrt{6} }{3}\)

When 'x' is 5, the Algebraic  expression 3x - 4 evaluates to 11.

To find the algebraic expression for "4 less than the product of 3 and some number," let's break it down step by step.

First, let's define the unknown number as 'x.' Since the problem states "the product of 3 and some number," we can express this as 3 * x or simply 3x.

Next, we want to subtract 4 from this product. The phrase "4 less than" indicates subtraction, so we subtract 4 from 3x. This can be represented as 3x - 4.

In summary, the algebraic expression for "4 less than the product of 3 and some number" is 3x - 4, where 'x' represents the unknown number.

To calculate the value of this expression for a specific value of 'x,' you substitute that value into the expression and simplify. For example, if 'x' is 5, you would substitute 5 into the expression:

3(5) - 4

This simplifies to:

15 - 4 = 11

So, when 'x' is 5, the expression 3x - 4 evaluates to 11.

In general, the algebraic expression allows us to represent a mathematical relationship between quantities using symbols and operations. By substituting specific values into the expression, we can calculate the corresponding results.

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Note the complete question:

Algebraic expression for 4 less than the product of 3 and some number

What is the algebraic expression for "4 less than the product of 3 and some number?

Please help me understand the meaning of how to calculate.

Answer:

b

Step-by-step explanation:

The volume of the square pyramid is 405 cubic inches.

The correct answer is option (B).

V = 1/3 × base area × h,

where h is the height of the pyramid.

P = 4 × a

where, 'a' represents the side of the square

For given example,

Let 'a' be the side length of the square base.

We have been given the perimeter of the square base is 36.

⇒ P = 36

⇒ 4 × a = 36

⇒ a = 9

So, the length of the side of the square base is 9 in.

Using the formula of the volume of the pyramid,

⇒ V = (1/3) × base area × h

⇒ V = (1/3) × a² × h

⇒ V = (1/3) × (9)² × 15

⇒ V = 27 × 15

⇒ V = 405 cubic inches

Therefore, the volume of the square pyramid is 405 cubic inches.

The correct answer is option (B).

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Answer:

4(x + 1) = 16

x + 1 = 4 (Divide equation by 4)

x = 3 (subtract 1)

Answer:

x = 3

Step-by-step explanation:

4(x + 1)=16

Expand the brackets.

4x + 4 = 16

Subtract 4 on both sides.

4x + 4 - 4 = 16 - 4

4x = 12

Divide both sides by 4.

4x/4 = 12/4

x = 3

The population will be 482,720 in 405 years using exponential model that doubles its size every 81 years.

A form of growth known as exponential growth occurs when a quantity's rate of expansion is proportionate to its present value. In other words, the amount increases with time at a faster pace. Several natural and artificial processes, including population expansion, compound interest, and the spread of contagious illnesses, exhibit exponential growth.

The population increases using the exponential model given as:

\(P(t) = P_0 * 2^{(t/x)}\)

Substituting the values P₀ = 15,085 and x = 81.

\(P(405) = 15,085 * 2^{(405/81)}\\P(405) = 15,085 * 2^5\\P(405) = 15,085 * 32\\P(405) = 482,720\)

Hence, the population will be 482,720 in 405 years using exponential model, that doubles its size every 81 years.

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The based on this example, we can see that the converse of the Pythagorean theorem does not hold for this particular triangle.

To prove the converse of the Pythagorean theorem, we need to show that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

In the given triangle AABC, with vertices at A(1,6), B(1,1), and C(5,1), we can calculate the lengths of the sides using the distance formula or Pythagorean theorem.

AB = sqrt((1-1)^2 + (6-1)^2) = sqrt(25) = 5

BC = sqrt((5-1)^2 + (1-1)^2) = sqrt(16) = 4

AC = sqrt((5-1)^2 + (6-1)^2) = sqrt(40) = 2sqrt(10)

Now, let's check if AB^2 + BC^2 = AC^2:

AB^2 + BC^2 = 5^2 + 4^2 = 25 + 16 = 41

AC^2 = (2sqrt(10))^2 = 4(10) = 40

Since AB^2 + BC^2 is not equal to AC^2, the given triangle AABC does not satisfy the condition for the converse of the Pythagorean theorem.

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Answer:

R

Step-by-step explanation:

-1 is exactly between 0 and -2, meaning that the answer is R.

R is the right answer

The expression is

See

Its distributive property which states that

Option A

An absolute value is the numerical value of a number without consideration of its sign. It can be represented graphically by a straight line known as a number line. Absolute value equations are equations that include absolute values of variables or unknown quantities. The following are examples of how to write an absolute value equation in the form |x-c|=d to fit the provided solution sets:

Example 1:

Solution set: {x|x≤-3 or x≥1}
Absolute value equation: |x-(-1)|=4
Explanation: -1 is the midpoint of the two ranges (-3 and 1) in the solution set. |x-(-1)|=|x+1| is the absolute value expression for the midpoint -1. The distance d from -1 to the solutions' furthest endpoints, 1 and -3, is four, hence the value of d in the absolute value equation is 4.
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Answer: why do you have so many files

Step-by-step explanation: plz tell me lol

From the given below solution the value of m EF is 25%.

A circle graph, also known as a pie chart, is a type of data visualization that displays data as a circular graph, divided into sectors that represent numerical proportions.

Each sector of the circle represents a percentage or proportion of the total data set, and the size of each sector is proportional to its corresponding value.

To find m EF, we need to add the percentages of participation in sports E and F:

m EF = percentage of participation in sports E + percentage of participation in sports F

m EF = 11% + 14%

m EF = 25%

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The probability of selecting 3 boys for the relay team given that the first selection was a girl is approximately 0.055945 or 8/143.

Probability is a way to gauge how likely or unlikely something is to happen. It is denoted by a number between 0 and 1, with 1 denoting a certain event and 0 denoting an impossibility.

Let's start by calculating the probability of selecting a girl first. Since there are 7 girls and 14 team members in total, the probability of selecting a girl first is:

P(Girl first) = 7/14 = 1/2

Now, we need to calculate the probability of selecting 3 boys from the remaining 13 team members (6 boys and 7 girls). We can do this using combinations:

Number of ways to select 3 boys from 6 = C(6,3) = 20

Number of ways to select 1 girl from 7 = C(7,1) = 7

Total number of ways to form a relay team of 4 from 13 = C(13,4) = 715

Therefore, the probability of selecting 3 boys from the remaining 13 team members is:

P(3 boys from 13) = (20*7)/715 = 4/143

Finally, we can use conditional probability to calculate the probability of selecting 3 boys given that the first selection was a girl:

P(3 boys | Girl first) = P(3 boys from 13)/P(Girl first)

= (4/143)/(1/2)

= 8/143

= 0.055944...

Rounded to the nearest millionth, the probability is 0.055945.

Therefore, the probability of selecting 3 boys for the relay team given that the first selection was a girl is approximately 0.055945 or 8/143.

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The area of the figure ABDECA, and the coordinates of the points on the quadrilateral are;

1. The area is about 15.16 units²

2. The coordinates of the points are;

(i) B(5, 8)

(ii) C(8.58, 4)

(ii) D(8,58, 1.21)

A quadrilateral is a four sided polygon.

1. The coordinate of the point C can be found as follows;

Let (x, y) represent the coordinates of the C, we get;

(x + 8)/2 = 5

x = 2 × 5 - 8 = 2

(y + 8)/2 = 6

y = 2 × 6 - 8 = 4

The coordinates ot the point C (2, 4)

The length of the segment BC = √((8 - 2)² + (8 - 4)²) = 2·√(13)

Length of the side AB = √((8 - 6)² + (8 - 11)²) = √(4 + 9) = √(13)

The area of the triangle ABC = (1/2) × 2·√(13) × √(13) = 13

CE is perpendicular to DE, let (a, b), represent the coordinates of the point E, therefore;

(4 - y)/(2 - x) = -(5 - x)/(6 - y)

y - 4 = (-4/7)(x - 2)

y - 6 = (7/4)(x - 5)

(-4/7)(x - 2) + 4 = (7/4)(x - 5) + 6

x = (17/5) = 3.4

y = (7/4)((17/5) - 5) + 6 = 3.2

The coordinates of the point E is (3.4, 3.2)

The length of the side DE = √((5 - 3.4)² + (6 - 3.2)²) = √(10.4)

Length of the side CE = √((3.2 - 2)² + (3.4 - 4)²) = √(1.8)

Area of the triangle ΔCDE = (1/2) × √(10.4) × √(1.8)

Area of the figure is therefore;

2. The equation of the line AB is; y - 6 = (1/3)·(x - (-1))

y - 6 = (1/3)·(x + 1)

y = (1/3)·(x + 1) + 6

The slope of the segment AE = (4 - 6)/(3 - (-1)) = -1/2

Slope of the segment BE = -1/(-1/2) = 2

Equation of BE is; y - 4 = 2·(x - 3)

y = 2·(x - 3) + 4 = (1/3)·(x + 1) + 6

Therefore, x = 5

y = (1/3)·(5 + 1) + 6 = 8

(ii) Area of the triangle EBC = 24 unit²

EB = (1/2) × √((5 - 3)² + (8 - 4)²) = √20

Therefore;

BC = 24/(√20) = 12/√5 = 12·√5/5 = √(28.8)

(x - 5)² + (y - 8)² = 28.8

y = 4, therefore;

(x - 5)² + (4 - 8)² = 28.8

(x - 5)² = 28.8 - (4 - 8)² = 12.8

x = √(12.8) + 5

(iii) The equation of the segment AD is; y - 4 = (-1/2)(x - 3)

x = √(12.8) + 5

Therefore;

y - 4 = (-1/2)((√(12.8) + 5) - 3)

y = (-1/2)((√(12.8) + 5) - 3) + 4 ≈ 1.21

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Answer:

Step-by-step explanation:

Step-by-step explanation:

I think it's C.not sure if it's correct

Answer:

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The answer to the expression is  (x+3)/(x-1)

You should recall that a quadratic expression is an algebraic expression of the form ax2 + bx + c = 0, where a ≠ 0

The given expressions are

(x² - 3x - 18) / (x²- 7x +6

(x²-6x +3x +19) / (x²-x -6x +6)

This implies that {(x²-6x)+(3x-18)} / {(x²-x) -(6x+6)}

⇒[x(x-6)+3(x-6)] / [x(x-1) - 6(x-1)]

This means that [(x+3)(x-6)] / [(x-6)(x-1)]

Dividing by (x-6) to have

Therefore the value of the expression is (x+3)/(x-1)

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Answer:

0 ; 1

Step-by-step explanation:

Given the dataset :

Stem _____ Leaf

1 _______ 0 0 2 2 4 5 5 5 6 7 8 8 9 9 9 9

2 _______0 0 0 3 3 4 5 8 8

3 _______0 0 1 1 3 4 5 5 5 6 6 6 6 7 7 8 8 8 9 9

4 _______ 1 2 2 3 3 3 5 5 6 6 7 8 8 9 9

The value 52 appears 0 times in the dataset

This is because the stem does not contain the digit 5.

The value 47 appears 1 time(s) in the data set ; stem of 4, leaf 7

Answer:

x ≈ 13.8

Step-by-step explanation:

using the tangent ratio in the right triangle

tan54° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{10}\) ( multiply both sides by 10 )

10 × tan54° = x , then

x ≈ 13.8 ( to the nearest tenth )

Answer:

A) Rectangular Prism

B) Triangular Pyramid

C) Square Pyramid

Answer:

A) rectangle

B) triangular prism

C( square pyramid

One way we can organize a linear equation is in standard form:

\(Ax+By=C\)

Another way we can organize a linear equation is in point-slope form:

\(y-y_1=m(x-x_1)\)

We're given:

We only need the point-slope form equation to find the stand form of the equation for this line. All we have to do is rearrange the numbers to get them in the right places.

\(y+7=-\dfrac{5}{2}(x-10)\)

⇒ First, multiply both sides by 2 to get rid of the fraction:

\(2y+14=-5(x-10)\)

⇒ Now, open up the parentheses:

\(2y+14=-5x+50\)

⇒ Move -5x to the other side:

\(5x+2y+14=50\)

⇒ Move 14 to the other side:

\(5x+2y=50-14\)

⇒ Combine like terms:

\(5x+2y=36\)

\(5x+2y=36\)

Answer:

greater than or equal

Step-by-step explanation:

Answer:

A. Cendric is correct because he used the inverse of subtraction and added 4.5

Step-by-step explanation:

To solve for x, all we needed to do was to make x stand alone. To do this, we have to apply addition property of equality. This means we would add 4.5 to both sides for the equation to balance. Thus, we would have z standing alone which equals 3.

Therefore, Cendric was correct because he used the inverse of subtraction of -4.5, which is 4.5 that was later added to both sides of the equation.

(a) The location of the point in Cartesian coordinates is (-2, 2√3, 3)

(b) The location of the point in spherical coordinates is (5, 2π/3, 0.93).

The Cartesian coordinates of the points is calculated as follows;

Points = (s, θ, z) = (4, 2π/3, 3)

x = scosθ

x = 4 x cos(2π/3)

x = 4 x cos(120)

x = 4 x (⁻¹/₂) = -2

y = s x sin(θ)

y = 4 x sin(2π/3)

y = 4 x sin(120)

y = 4 x (√3)/2 = 2√3

z = z = 3

Cartesian coordinates = (-2, 2√3, 3)

Points, = (p, θ, φ)

\(p = \sqrt{s^2 + z^2} \\\\p = \sqrt{4^2 + 3^2} = 5\)

θ = 2π/3

\(\phi = cos^{-1} (\frac{z}{\sqrt{s^2 + z^2} } )\\\\\phi = cos^{-1} (\frac{3}{5} ) = 0.93 \ rad\)

spherical coordinates = (5, 2π/3, 0.93)

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