What is the equation of the line?

Answer:

Step-by-step explanation:

➡️ Volume = r³

➡️ 2³

➡️ 8

= Sisi × Sisi × Sisi

= 2 Cm × 2 Cm × 2 Cm

= 4 Cm × 2 Cm

= 8 Cm .

Maka, volumenya 8 Cm.

The correct answer is (d) Those values of a for which the numerator of the function r is not zero.

For a rational function r(x), the limit of r(x) as x approaches a can be determined by evaluating r(a) if the numerator of the function is not zero. This is because when the numerator is not zero, the limit of the function is defined and equal to the value of the function at that point.

However, if the numerator of the function is zero, then further analysis is required to determine the limit. In this case, the limit may be defined or undefined, depending on the behavior of the function as x approaches the point of interest.

In general, for a rational function, the limit exists and is equal to the value of the function at that point if and only if the numerator of the function is not zero at that point.

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Answer:

1 cm = 16.5 m

1 m = 1 : 16.5 = 0.060606 cm

480 * 0.060606 = 29.09088 cm ( on the scale drawing )

B :

1.5 in = 0.5 ft

6 ft = 0.5 ft * 12

12 * 1.5 in = 18 inches

Step-by-step explanation:

The table B would not be an appropriate model for the function shown here.

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

Given:

A function is shown here.

In the graph:

When x = 2, then f(x) = 2 ≠ 0.

From the given choices:

The table B gives contradiction.

Therefore, the table D is not an appropriate model.

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6.908 is greater than 6.098 as the second digit from the left is greater.

We round off numbers to make them easier to remember and it also keeps its value approximately to the place it has been rounded off.

To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.

Given, are two numbers 6.098 and 6.908.

Now, starting from left both the numbers have the same digit so we can't

differentiate.

The digit after the decimal place to the first number is 0 and on the second it is 9 so definitely, the second number is greater.

∴ 6.098 < 6.908.

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Replace x in the equation and see which one equals the y values:

The answer is f(x) = 2x - 1

The total amount spent on gas is $9.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. Multiplication is the method that is used to add a number by itself a particular number of times. The sign used to denote multiplication is x. Other mathematical operations are subtraction, division and addition.

In order to determine the total amount spent on gas, multiply the cost of one gallon by the number of hours skied and the amount of galloons used per hour.

The total amount spent on gas = cost of one gallon of gas x number of hours skied x number of gallons used per hour

2 x 3 x $2.25 = $9

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Answer:

Step-by-step explanation:

The total amount spent on gas is $9.How much is spent on gas?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. Multiplication is the method that is used to add a number by itself a particular number of times. The sign used to denote multiplication is x. Other mathematical operations are subtraction, division and addition. In order to determine the total amount spent on gas, multiply the cost of one gallon by the number of hours skied and the amount of galloons used per hour. The total amount spent on gas = cost of one gallon of gas x number of hours skied x number of gallons used per hour 2 x 3 x $2.25 = $9To learn more about multiplication, please check:

Answer:

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

What we know:

1 slice = 1/10 of the entire pizza

8 friends * 1 slice / 10 slices =

8 * 1/10 = 8/10 of the pizza was eaten

8/10 = 4/5 of the pizza was eaten

The correct simplification of (5a)(6b) is 30ab

(5 *a )* (6 * b)

= 5*6*a*b

30ab

In Maths, Algebra is one of the important branches. The concept of algebra is used to find unknown variables or unknown quantities. The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants. Algebraic expression is an expression that is built by the combination of integer constants and variables. For example, 4xy + 9, in this expression, x and y are variables, whereas 4 and 9 are constants. The value of an algebraic expression changes according to the value chosen for the variables of the expressions.

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6 cm, 8 cm, 10 cm meaurement repreent the ide length of a right triangle.

A right triangle, like the triangle below, is one in which one of the angles measures 90 degrees (a right angle). In most cases, right angles are shown by drawing a square at the angle's vertex.

For a right triangle, where c is the hypotenuse and a and b are the smaller sides, the Pythagorean Theorem gives us a2 + b2 = c2.

The hypotenuse is usually the longest. Any triple would still represent the sides of a right triangle if we multiplied it by a constant. Therefore, the sides of a right triangle would be 6, 8, and 10.

a2 + b2 = c2.

= 6^2 + 8^2  =  10^2

36 + 64 = 100.

so,

6 cm, 8 cm, 10 cm meaurement repreent the ide length of a right triangle.

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Step-by-step explanation:

She has 1050

400 of that is the DB fee

Now she has 650 dollars

650/50 per person is 13

She can have 13 people

Answer:

13

Step-by-step explanation:

you just multiply the 2 together

Answer:

the answer is 4

Step-by-step explanation:

its a simple equation, not much work needed, reduce the numbers with the greates common factor 3

A reflection in the y-axis of y = f(x) is represented by h(x) = f(-x), where the negative sign is applied to the x-coordinate, causing the reflection across the y-axis.

When we reflect a point or a graph in the y-axis, we are essentially flipping it horizontally. This means that the x-coordinate of each point is multiplied by -1 to obtain its reflection across the y-axis. In the equation h(x) = f(-x), the input x is negated by using the negative sign, -x. By substituting -x into the original function f(x), we effectively replace each x-coordinate with its negated value. This transformation causes the graph to be reflected across the y-axis.

For example, let's say we have a point (2, 3) on the graph of y = f(x). When we substitute -2 into the equation f(-x), we get f(-2), which represents the reflected point (-2, 3). This means that the original point (2, 3) is mirrored across the y-axis to (-2, 3) after the reflection. By applying this reflection operation to all points on the graph, we obtain the reflected graph of y = h(x), which is the same as the original graph of y = f(x) but flipped horizontally.

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Answer:

A

Step-by-step explanation:

A

when multiplied out

the highest exponent of x is 2

y = 2x² + x - 6

Answer:

option A

Step-by-step explanation:

A quadratic equation is a single variable polynomial of degree 2.

\(A ) y = ( x + 2)(2x-3) = 2x^2 -3x +4x - 6 =2x^2 + x - 6 \ - Yes \\\\B) y = 3(x - 4) \ - No\\\\C) y = \frac{1}{x^2} \ - No\\\\D) y = x(x-4)(x+3) = x(x^2 -x - 12) = x^3 -x^2 - 12x \ - No\)

Answer:

Radical expressions are utilized in financial industries to calculate formulas for depreciation, home inflation and interest. Electrical engineers also use radical expressions for measurements and calculations. Biologists compare animal surface areas with radical exponents for size comparisons in scientific research

Answer:

A=False

B=True

C=True

Step-by-step explanation:

Answer:

  (b)  $6,769

Step-by-step explanation:

The value in the account can be found by using the compound interest formula:

  A = P(1 +r/n)^(nt)

where P is the principal invested, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.

__

Using the given values in the formula, we have ...

  P = 5600, r = 0.019, n = 4, t = 10

  A = 5600(1 +0.019/4)^(4·10) = 5600×1.00475^40 ≈ 6768.752

The amount in the account at the end of 10 years was about $6,769.

_____

Additional comment

Any number of spreadsheets, calculators, or apps can find the future value (FV) for you. The attachment shows the use of a TI-84 calculator work-alike.

Dimensions should he use to maximize the area of the garden should be in length and breadth. Perimeter of rectangle= 2(length + breadth) .

The perimeter of any closed shape is its complete length at its border.

The perimeter of an object is the total length enclosing it.

It is the length of any boundary or outline of a two-dimensional geometric object.

The perimeter of various shapes can be the same depending on their sizes.

Take, for instance, a triangle constructed from an L-length cable.

The same wire can be used to make a square if each edge is the same length.

Hence, Dimensions should he use to maximize the area of the garden should be in length and breadth. Perimeter of rectangle= 2(length + breadth) .

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the homeowner should make his rectangular vegetable garden  \(31.5\) meters long and  \(31.5\) meters wide to maximize the area of the garden.

Let's assume that the length of the rectangle is x meters and the width is y meters.

The perimeter of the rectangle is the sum of all four sides, so we can write:

\(2x + 2y = 126\)

Simplifying this equation, we get:

\(x + y = 63\)

Now, we want to maximize the area of the garden. The area of a rectangle is given by:

\(A = xy\)

We can solve for one variable in the equation above and substitute it in the equation for the perimeter:

\(y = 63 - x\)

\(A = x(63 - x)\)

\(A = 63x - x^2\)

To find the maximum area, we need to find the value of x that maximizes A. We can do this by taking the derivative of A with respect to x, setting it equal to zero, and solving for x:

\(dA/dx = 63 - 2x = 0\)

\(2x = 63\)

\(x = 31.5\)

Now we can substitute this value of x back into the equation for the perimeter to find y:

\(y = 63 - x = 31.5\)

So the dimensions of the rectangle that will maximize the area of the garden are:

\(x = 31.5 m\) and \(y = 31.5 m\)

Therefore, the homeowner should make his rectangular vegetable garden  \(31.5\) meters long and  \(31.5\) meters wide to maximize the area of the garden.

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Answer:

y = 10

Step-by-step explanation:

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 8 & subtract 3y from both sides:

5y (-3y) - 8 (+8) = 3y (-3y) + 12 (+8)

5y - 3y = 12 + 8

2y = 20

Next, isolate the y. Divide 2 from both sides:

(2y)/2 = (20)/2

y = 20/2

y = 10

y = 10 is your answer.

~

The equivalent value of the expression is y = 10

Given data ,

Let the equation be represented as A

Now , the value of A is

5y - 8 = 3y + 12

On simplifying the equation , we get

5y - 8 = 3y + 12

So , the left hand side of the equation is equated to the right hand side by the value of ( 3y + 12 )

Subtracting 3y on both sides , we get

2y - 8 = 12

Adding 8 on both sides , we get

2y = 12 + 8

2y = 20

Divide by 2 on both sides , we get

y = 20/2

On simplifying , we get

y = 10

Therefore , the value of y = 10

Hence , the expression is y = 10

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Answer:

The relationship between altitude and atmospheric pressure is exponential, as shown by the function f(x) in this problem.

Step-by-step explanation:

a. To find the pressure at sea level, we need to evaluate f(x) at x=0:
f(0) = 1038(1.000134)^0 = 1038 millibars.

Therefore, the pressure at sea level is approximately 1038 millibars.

b. To find the atmospheric pressure at an altitude of 2000 meters, we need to evaluate f(x) at x=2000:
f(2000) = 1038(1.000134)^(-2000) ≈ 808.5 millibars.

Therefore, the approximate atmospheric pressure at the McDonald Observatory in Texas is 808.5 millibars.

c. As altitude increases, atmospheric pressure decreases. This is because the atmosphere becomes less dense at higher altitudes, so there are fewer air molecules exerting pressure.

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Answer:

3.75

Step-by-step explanation:

Answer:

3.75

Step-by-step explanation:

Answer:

log(18/(p+2))

Step-by-step explanation:

log(18) - log(p+2)

log(18/(p+2))

Answer:

its B

Step-by-step explanation:

on EDGE 2022

The total area of the triangular prism is 1008 cm²

Given the figure of the triangular prism. In order to find the total area of the prism, you will need to add up areas of the parts that make the prism.

The prism is made up of two triangles and 3 rectangular parts. Thus:

Area(A) = 2(1/2 bh) + l₁b₁ + b₂h₂₃ + b₃h₃ = bh + l₁b₁ + l₂b₂ + l₃b₃

where b and h represent the base and height of the triangles, and the l₁₂₃ and b₁₂₃ are the respective lengths and breadths of the rectangles

A = bh + l₁b₁ + l₂b₂ + l₃b₃

A = 14(12) + 15(20) + 13(20) + 14 (20)

A = 168 + 300 + 260 + 280

A = 1008 cm²

Therefore, the area of the triangular prism is 1008 cm²

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The acceptable conclusions to a hypothesis test are option a, c, d, f.

What is hypothesis test?

Hypothesis Testing is a way of statistical analysis in which a person can  put his assumptions about a population parameter to the test. It usually  used to estimate the relationship between two statistical variables.

By the property of hypothesis test the following can be stated.

⇒The value of the test statistic lies in the non rejection region. Therefore, there is no evidence to suggest that the alternative hypothesis is true.

⇒ The value of the test statistic lies in the rejection region. Therefore, there is evidence to suggest that the null hypothesis is not true.

⇒The value of the test statistic does not lie in the rejection region. Therefore, there is no evidence to suggest that the alternative hypothesis is true.

⇒ The value of the test statistic lies in the rejection region. Therefore, there is evidence to suggest that the alternative hypothesis is true.

Hence the correct options are a, c, d, f.

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Answer:

pi/18 radians

Step-by-step explanation:

To convert from degrees to radians, use the conversion factor 180 degrees = pi radians

10 degrees * pi radians           pi

                     -----------------   =   --------  radians

                     180 degrees           18

pi/18 radians

Answer:

1 cubic foot

Step-by-step explanation:

1*1*1 = 1

Answer:

6 maybe

Step-by-step explanation:

Answer:

131550

Step-by-step explanation:

Answer:

your question is poorly written below is the properly written question

Find a coterminal Angle with measure θ  ( -22° ) such that  0° ≤ θ < 360°

answer: 338°

Step-by-step explanation:

To find a coterminal angle of a given angle that falls between 0° and 360° we have to express the angle in terms of 360°

Hence express  -22° in terms of 360°

-22°  = -360° + 338°

hence the coterminal angle = 338°