The summit of a volcano is 10 kilometers above ocean floor.

if the ocean floor has an elevation of -5 kilometers, which statement describes the elevation of sea level and the summit?

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.

Elimination of the parameter means to rewrite the equations in terms of only x and y. To do this, substitute t from one equation into the other equation. Here, the two equations are:x = t1/3 and y = t – 4Substitute t from the first equation into the second equation:y = (x^3) – 4Now the equation is in terms of x and y only.

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.The rectangular equation, y = (x^3) – 4 can be plotted on a graph. It is a cubic equation. The graph will look like a curve that passes through the point (0, -4) and continues to move towards infinity. The graph will be symmetric to the origin because the equation involves an odd power of x.

If the equation involved an even power of x, the graph would be symmetric to the y-axis. The graph will never touch the x-axis or y-axis, it will only approach them.In conclusion, the rectangular equation y = (x^3) – 4 is derived from the two parameter equations, x = t1/3 and y = t – 4. The graph of this equation is a cubic curve that is symmetric to the origin. The curve passes through (0, -4) and approaches the x and y-axes but never touches them.

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Answer: to go about this problem the easiest way for me would be to see what I can multiply to get 81. Imminently I see that 9*9 is 81 and it also adds up to 18 :)

so the answer is 9 and 9  give me a thumbs up if this helped!

Answer:

so z is 9 I guess

Step-by-step explanation:

81/9=9

so z is 9

Answer:

1

Step-by-step explanation:

Answer:

1/1

2/2

3/3

4/4

5/5

Step-by-step explanation:

The standard form of  \(3+2 \cdot \frac{1}{10} +4 \cdot \frac{1}{1000}\) is 3.204

Explanation :

Given : \(3+2 \cdot \frac{1}{10} +4 \cdot \frac{1}{1000}\)

Lets convert fractions into decimals

\(\frac{1}{10} =0.1\\\frac{1}{1000}=0.001\)

Now 2 times 0.1 becomes 0.2

Also 4 times 0.001 becomes 0.004

So the given expression becomes

\(3+2 \cdot \frac{1}{10} +4 \cdot \frac{1}{1000}\\3+2 \cdot 0.1+4 \cdot 0.001\\3+0.2+0.004\\3.204\)

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Answer:

Hope the picture will help you!!

Answer:

10⁻⁶

Step-by-step explanation:

Since the volume of saliva coughed up by my friend is 0.0100 cm³ and 10⁺⁹ of this volume contains the virus. The volume containing the virus is thus V = 0.0100 cm³ × 10⁺⁹ = 0.0100 × 10⁺⁹ cm³ = 0.0100 × 10⁺⁹ × 10⁻⁶ m³ = 0.0100 × 10⁺¹⁵ m³.

Now, since the flu virus is spherical, its volume is v = 4πr³/3 where r is its radius.

Let n flu viruses be contained in the volume V of flu viruses coughed out by my friend.

So n × v = V

v = V/n

4πr³/3 = V/n

r = ∛(3V/4πn)

substituting the value of V into the equation, we have

r = ∛(3 × 0.0100 × 10⁺¹⁵ m³/4πn)

r = (∛0.03/4πn) × 10⁻⁵ m

r = 0.1336/∛n × 10⁻⁵ m

r = 1.336/∛n × 10⁻⁶ m

Since the factor 10⁻⁶ is found in the radius, the order of magnitude of the influenza virus that have just landed on me are of the order 10⁻⁶

The domain of the function f(x) = -3x + 2 is (-∞, +∞), representing all real numbers, and the range is (-∞, 2], representing all real numbers less than or equal to 2.

The function f(x) = -3x + 2 is a linear function defined by a straight line. To determine the domain of this function, we need to identify the range of values for which the function is defined.

The domain of a linear function is typically all real numbers unless there are any restrictions. In this case, there is no explicit restriction mentioned, so we can assume that the function is defined for all real numbers.

Therefore, the domain of the function f(x) = -3x + 2 is (-∞, +∞), which represents all real numbers.

Now, let's analyze the range of the function. The range of a linear function can be determined by observing the slope of the line. In this case, the slope of the line is -3, which means that as x increases, the function values will decrease.

Since the slope is negative, the range of the function f(x) = -3x + 2 will be all real numbers less than or equal to the y-intercept, which is 2.

Therefore, the range of the function is (-∞, 2] since the function values cannot exceed 2.

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g(x) = -2√x + 8 is the function that has the same range as f(x) = -2√(x - 3) + 8. Both functions have the range of y ≤ 8

The function that has the same range as f(x) = -2√(x - 3) + 8 is g(x) = -2√x + 8. Both functions have the range of y ≤ 8.There are a few steps involved in determining which function has the same range as f(x) = -2√(x - 3) + 8. The range of a function refers to all the possible output values that the function can produce.Let's begin by examining the original function:f(x) = -2√(x - 3) + 8The square root symbol (√) implies that x-3 must be greater than or equal to 0. If x-3 is negative, then the function would produce an imaginary result.

Let's solve for x when f(x) = 0:0 = -2√(x - 3) + 8-8 = -2√(x - 3)4 = √(x - 3)16 = x - 3x = 19This tells us that the x-value that produces an output of 0 is x = 19. To determine the range, we need to find the maximum and minimum output values. We can use a graphing calculator or sketch a graph to determine the shape of the function and the range.The shape of the function suggests that the range is y ≤ 8, which means that the maximum value of the function is 8. This tells us that any function with the same maximum output value of 8 will have the same range as f(x).

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The y-intercept of the line representing Beatrice's monthly music is 20

From the question, we have the following parameters that can be used in our computation:

y = -.95x + 20

To calculate the y-intercept of the line, we set x = 0

So, we have

y = -.95 * 0 + 20

Evaluate

y = 20

Hence, the y-intercept of the line representing Beatrice's monthly music is 20

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Question

What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?

The equation is y = -.95x + 20

The result of the expression 20 - 6 is 14.

To solve the given expression, 20 - 6, and isolate the variable, we need to clarify whether there is an equation involved. However, in this case, the expression does not contain any variable to isolate, and it is not an equation that needs balancing. It is a straightforward arithmetic expression.

Step 1: Start with the given expression, 20 - 6.

Step 2: Evaluate the subtraction operation: 20 - 6 = 14.

Step 3: The simplified expression is now 14. However, since there is no variable present, there is no need to isolate any variable.

This means that when you subtract 6 from 20, the answer is 14. Remember that isolating a variable and balancing an equation are relevant when dealing with equations that involve variables. In this case, the expression is a simple subtraction operation, yielding a constant value of 14 as the answer.

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Answer:

B

Step-by-step explanation:

If -10 is 10 seconds before he finishes his first lap, and 10 is 10 seconds after he finishes his first lap, whats in the middle of that?! 0 of course, so thats when he finishes his first lap.

Answer:

The answer is B

Step-by-step explanation:

The cost of each sandwich, given the number that was sold and the profit made was  $15.

Let S be the price of a sandwich and A be the price of a salad.

From the lunch sale, we know:

14 S + 14 A = $280

From the evening sale, we know:

42S + 154 A = $ 1400

Simplify the first equation by dividing through by 14:

S + A = $20

Solving this equation for S gives:

S = $20 - A

Substitute this equation into the second equation:

42 ( $20 - A ) + 154 A = $1400

$ 840 - 42 A + 154 A = $1400

112A = $560

A = $5

Substitute A = $5 into the first equation:

S + $5 = $20

S = $15

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984,000 = 900,000 + 80,000 + 4000

Expanded form of 984,000:

984,000 = (9 * 10⁵) + (8 * 10⁴) + (4 * 10³)

               = (9 * 100,000) + (8 * 10,000) + (4 * 1,000)

Therefore, the answer is,  

∴, 900,000 + 80,000 + 4,000

Answer:

Step-by-step explanation:

The floor-to-ceiling clearance is 7 ft 5 in, which is equal to 7 * 12 + 5 = 89 inches.

We need to construct 8 shelves, each of which is 1 inch thick, so the total thickness of the shelves is 8 * 1 = 8 inches.

We also need to leave an equal space between each shelf and the next, the top shelf and the ceiling, and the bottom shelf and the floor. So, there will be 7 equal spaces in total (6 between shelves and 1 between the bottom shelf and the floor).

Therefore, the space between each shelf and the next will be (89 - 8) / 7 = 11 inches.

Here's a step by step solution:

Calculate the total height of the room in inches: 7 ft 5 in = 7 * 12 + 5 = 89 inches.

Calculate the total thickness of all the shelves: 8 shelves * 1 inch/shelf = 8 inches.

Deduct the thickness of the shelves from the height of the room to find the total space available: 89 inches - 8 inches = 81 inches.

Divide the total space available by the number of spaces (7) to find the space between each shelf and the next: 81 inches / 7 = 11 inches.

Answer: 66%

Step-by-step explanation: To convert a fraction to a percentage, divide the top number by the bottom number. For example, \(\frac{1}{4}\) is 25% because if divide them, (1÷4=0.25) then we get 25%. So, for this problem, we solve 2÷3, which equals 0.66, or 66%.

hope this helps!

please give brainliest!

Answer:

$15,500

Step-by-step explanation:

It would help if you put the actual question in place

    10³ CDs = 1000 at $12 each    = $12000

+ 10² Players = 100 at $35 each = $  3500

Total                                                 $15500

103(12) + 102(35) = $4806

Answer:180(D)

Step-by-step explanation: First, do 72/x=40/100. Then, cross muliply which is 7200 and 40*x. do 7200/40. The answer should be 180.

Answer:

The answer is C(180) on edg 2021

An expression with an exponent and grouping symbols that has a value of 80 is: (10 - 2)² + 16

Grouping symbols are mathematical symbols used to group parts of an expression together to indicate the order of operations to be applied. The most common grouping symbols are parentheses (), brackets [], and braces {}.

An exponent, also known as a power, is a mathematical notation that indicates the number of times a base number is multiplied by itself. It is written as a superscript to the right of the base number.

For example, in the expression 2^3, 2 is the base and 3 is the exponent.

Therefore, an expression that can evaluated as having a value of 80 is:

(10 - 2)² + 16 = 8² + 16 = 64 + 16 = 80

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Using the probability concept, it is found that there is a \(\frac{x - 1}{15}\) probability of drawing a piece of paper with a number less than x written on it.

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

Thus, the probability of drawing a piece of paper with a number less than x written on it is of \(\frac{x - 1}{15}\).

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Answer:

Step-by-step explanation:

Volume = Bh

Turn the shape so the trapezoid is on the bottom/base

h=18   for overall shape

B = area of base, trapezoid

B = 1/2 (b₁ + b₂) h  

b₁ = 11

b₂ = 25

h = 24   for trapezoid

B = 1/2 (11 + 25)(24)

B = 432

V = Bh

V = (432)(18)

V= 7776 in³

Answer:

The value of y is 216

(and the value of x is 12)

Step-by-step explanation:

The general formula for a geometric sequence is,

\(a_n = a_1(r)^{n-1}\)

Where n represents the nth term, a_1 is the first term and r is the common ratio,

we see that,

r = 6,

the first term is,

a_1 = (x-6)

the 2nd term is,

a_2 = 3x,

the 3rd term is,

a_3 = y, finding y,

first we find x, using the above given formula we have,

\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)

x = 12,

Now, for y we can use the relation between a_3 and a_2,

\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)

y = 216

Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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The parameters of the expression are given as

25w+55

A multiplicative factor in some terms of a polynomial, a series, or an expression is referred to as a coefficient. Although a coefficient is often a number, it may really be any expression. It is possible to refer to the coefficients themselves as parameters in situations when they themselves are variables.

A sign that may stand in for any other item in mathematics is known as a variable. To be more specific, a variable may stand in for a numeric value, a vector, a matrix, a function, the argument of a function, a set, or an individual component of a set.

Generally, the equation for expression is  mathematically given as

25w+55

Therefore

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The domain of the equation is 10 days and the range is the $14 left in the account.

What is the linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are present. The variables in the above equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

a) The independent variable in this problem is the number of days, represented as x. The amount of money left, the y variable is the dependent variable since it depends on the number of days left (x).

b) If there are 10 days left, we can plug it into the given equation to find the balance in the account.

y = -3x + 44                    

y = -3(10) + 44                

y = -30 + 44                    

y = 14                              

Hence, the domain of the equation is 10 days and the range is the $14 left in the account.

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Answer:

option c

Step-by-step explanation:

Mark brainliest

Step-by-step explanation:

B becouse nothing is to the power of 0 I think

Answer:

x = 20

Step-by-step explanation:

Exterior angles are equal.

7x - 3 = 6x + 17

Add 3 and subtract 6x to both sides.

x = 20 is the answer.

The only matrix that is certainly symmetric is a)\((a^2 - b^2).\)

We know that a matrix A is symmetric if it is equal to its transpose, that is \(A = A^T.\)

a) \((a^2 - b^2)\)

We can write the transpose of this matrix as

\((a^2 - b^2)^T = (a^2)^T - (b^2)^T = a^2 - b^2\), which is equal to the original matrix. Therefore, this matrix is symmetric.

b) (A+B)(A-B)

Expanding this expression, we get \((A+B)(A-B) = A^2 - AB + BA - B^2.\)

Taking the transpose of this, we get \((A^2)^T - (AB)^T + (BA)^T - (B^2)^T = A^2 - BA + AB - B^2.\)

Since AB and BA may not be equal, we cannot say for certain that this matrix is symmetric.

c) ABA

Taking the transpose of this matrix, we get\((ABA)^T = A^T B^T A^T\). Since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.

d) ABAB

Taking the transpose of this matrix, we get \((ABAB)^T = B^T A^T B^T A^T\). Again, since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.

Therefore, the only matrix that is certainly symmetric is a) \((a^2 - b^2).\)

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