A unit cube has a length of
__ unit(s), a width of
__ unit(s), and a height of
__ unit(s).

Answer:

The cubic function f(x) = x3 is symmetric about the origin (it is an odd function). Here are some types of functions that are odd: Lines Through The Origin – any line with a zero y intercept (b = 0) and a nonzero slope (m not zero) will have equation f(x) = mx.

Step-by-step explanation:

Answer: No

f(x) = x³ + 2x − 5

Step-by-step explanation:

No

f(x) = x³ + 2x − 5

To write an equation of the line that is parallel to the given line and passes through the given point, we need to find the slope of the given line and using that slope and given point, we will find the equation of the parallel line.

Given line is y = (1/2)x - 8 and the point ( - 6, - 17). Slope of the given line y = (1/2)x - 8 is As the given line is parallel to the line, we know that the slope of the parallel line is also 1/2.Using point-slope formula, the equation of the line is given as :y - y1 = m (x - x1)

Substituting m = 1/2,

x1 = -6 and

y1 = -17 in above formula,

we get y - (-17) = 1/2 (x - (-6))

y + 17 = 1/2 (x + 6)

y = 1/2 x + 3 - 17

y = 1/2 x - 14

So, the equation of the line that is parallel to the given line and passes through the point (-6, -17) is y = (1/2) x - 14. The required equation is y = (1/2)x - 14.

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Answer:

Data set doesn't go to 17

Step-by-step explanation:

None of the numbers go to 17

Answer:

1st option. the data set doesn't GO to seventeen

Step-by-step explanation:

look at the number line. I always had trouble with this so I get where your coming from first, look at where the line is touching don't pay attention to the box yet because it's confusing the entire point of this line is to show you that there MAY have been 1 or two people who where at 0 for this data and 1 or two people who were at 15

the point here is that the bulk of the data was 11-14, but because there were less people down lower, the mean of the data is at 13, and the data is bigger (skewed) to the left.

making everything lekse true except for the first option.

Answer:

\(-\frac{5}{7}^1^7\)

Step-by-step explanation:

When we multiply exponents, we add them together.

Therefore 8 + 9 which is 17

Now we end up with \(-\frac{5}{7}^1^7\)

Hence,  (-5/7)^17 is the correct answer.

[RevyBreeze]

Answer

\( \frak {\large( - \frac{5}{7} )^{8} . \: ( - \frac{5}{7} )^{9} }\)

\( \: \: \: \)

\( \frak{ \large ( - \frac{5}{7} )^{8 + 9}} \)

\( \: \: \)

\( \frak {\large( - \frac{5}{7} )^{17} }\)

\( \: \: \)

Hope Helps!! :)

The gardener used 40.5 gallons of gasoline in his lawn mowers in the one month.

Let's say the amount of gasoline used in the lawn mowers is x gallons.

Then, the rest of the gasoline (61.5 - x) would have been used for other purposes.

Since the total amount of gasoline used is 61.5 gallons, we can set up an equation:

x + (61.5 - x) = 61.5

Simplifying this equation, we get:

x + 61.5 - x = 61.5

Combining like terms, we get:

61.5 = 61.5

This equation is true, so we know that our assumption that x is the amount of gasoline used in the lawn mowers is correct.

Therefore, the gardener used x = 40.5 gallons of gasoline in his lawn mowers in the one month.

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We use standard uncertainty because it helps to make less error when finding out mean value of a given sets.

Uncertainty is the non-exact value derived by counting the number of points and subtracting their standard deviation. The result obtained should be an approximation rather than a precise value. The score of spread values from the provided set of data is known as standard deviation.

There could be several points in the uncertainty. Errors could occur if the days are rounded uncertainly. We use single data to view uncertainty in the situation of single data. Additionally, rounding uncertainty is appropriate if the level is the same as the measured uncertainty. We measure and compute the mean after taking the set of values into account multiple times. Finding the mean's uncertainty is important.

Therefore we use the relation,

σmean = σindividual/√(n-1)

Value is less than the value of reading-specific uncertainty. As a result of the additional number measurements caused by the rounding process, the uncertainty exceeds the standard deviation by a significant amount.

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Answer:

m=4

Step-by-step explanation:

look at the traingle formed with line with points (6,5) and (4, -3)

look at change in y (how tall the triangle is) and change in x (the base of triangle)

change in y=8

change in x=2

m=rise/run also known as change in y/change in x

=8/2

=4

note that this is a positive gradeint line

The solution is Option A.

The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the equation for the circle A be represented as

( x - 7 )² + ( y - 1 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )

Let the equation for the circle A be represented as

( x + 8 )² + ( y - 2 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )

So , the translation of circle A to B is given by

( 7 , 1 ) to ( -8 , 2 )

So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up

Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

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To evaluate the integral ∫(2-x²)dx using the definition of the integral given as 72 Σf(x)Δx (where x are the right endpoints), we can approximate the integral by dividing the interval into smaller subintervals and evaluating the function at the right endpoints of each subinterval.

Using the given definition of the integral, we can approximate the integral ∫(2-x²)dx by dividing the interval of integration into smaller subintervals. Let's say we divide the interval [a, b] into n equal subintervals, each with a width Δx.

The right endpoints of these subintervals would be x₁ = a + Δx, x₂ = a + 2Δx, x₃ = a + 3Δx, and so on, up to xₙ = a + nΔx.

Now, we can apply the definition of the integral to approximate the integral as a limit of a sum:

∫(2-x²)dx = lim(n→∞) Σ(2-x²)Δx

As the number of subintervals approaches infinity (n→∞), the width of each subinterval approaches zero (Δx→0).

We can rewrite the sum as Σ(2-x²)Δx = (2-x₁²)Δx + (2-x₂²)Δx + ... + (2-xₙ²)Δx.

Taking the limit as n approaches infinity and evaluating the sum, we obtain the definite integral:

∫(2-x²)dx = lim(n→∞) [(2-x₁²)Δx + (2-x₂²)Δx + ... + (2-xₙ²)Δx]

Evaluating this limit and sum explicitly would require specific values for a, b, and the number of subintervals. However, this explanation outlines the approach to evaluate the integral using the given definition.

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It will take 100 beers to bake 100 muffins in 100 hours.

Unitary method:

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Find the value of a single unit and then multiply the value of a single unit by the number of units to get the necessary value.

Given:

5 beers 5 hours to bake 5 muffins.

In 1 beer takes 1 hour to bake one muffin.

So, it will take 100 beers to bake 100 muffins in 100 hours.

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Answer:

$2.85

Step-by-step explanation:

8.55/3

Answer:

$2.85 per foot

Step-by-step explanation:

all u gotta do is 8.55/3

Step-by-step explanation:

When f(x) = g(x),

-0.5x + 2 = 2x - 3.

=> 2.5x = 5, x = 2.

The input value that gives the same output in both charts is 2.

The inverse function of \( f(x) \) with the restricted domain \( x \geq 7 \) is \( f^{-1}(x) = \sqrt{x-6} + 7 \). To find the inverse function \( f^{-1}(x) \) of the given function \( f(x) = (x-7)^2 + 6 \) with the restricted domain \( x \geq 7 \), we need to interchange the roles of \( x \) and \( f(x) \) and solve for \( x \).

Step 1: Replace \( f(x) \) with \( y \):

\( y = (x-7)^2 + 6 \)

Step 2: Interchange \( x \) and \( y \):

\( x = (y-7)^2 + 6 \)

Step 3: Solve for \( y \):

\( x - 6 = (y-7)^2 \)

Taking the square root of both sides:

\( \sqrt{x-6} = y - 7 \)

\( y = \sqrt{x-6} + 7 \)

Step 4: Substitute \( f^{-1}(x) \) for \( y \):

\( f^{-1}(x) = \sqrt{x-6} + 7 \)

Therefore, the inverse function of \( f(x) \) with the restricted domain \( x \geq 7 \) is \( f^{-1}(x) = \sqrt{x-6} + 7 \).

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Answer:

Its (5 , 1 )

Step-by-step explanation:

because it is

Answer:

(2,-2) because the x axis goes from right to left and the y axis goes up and down

Step-by-step explanation:

Answer:

C) square root of 65

Step-by-step explanation:

4^2+7^2=hypotenuse^2

16+49=hypotenuse^2

65=hypotenuse^2

hypotenuse=square root of 65

Linear equations are equations that has a leading degree of 1. The value of x that makes the equation true is 1/4

Linear equation are equations that has a linear degree of 1. The standard linear equation is y = mx + b

Given the expression below

2(3 - 7x) = 4 - 6x

Expand

6 - 14x = 4 - 6x

Collect the like terms

6 - 14x = 4 - 6x

-14x + 6x = 4 -6

-8x = -2

Divide both sides by -8

-8x/-8 = -2/-8

x = 1/4

Hence the value of x that makes the equation true is 1/4

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The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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When y changes directly as x, the variation constant is 5/4.

In a direct variation, the ratio of two variables; in an inverse variation, the product of two variables. The constant of variation k is used in the direct variation equations = k and y = kx, as well as the inverse variation equations xy = k and y =. A constant of variation (k) is a ratio that shows the connection between the independent and dependent variables (x and y) (y). If both variables have known values, it may be determined by dividing y by x. The constant of variation is the number that connects two variables that are either directly or inversely proportional to each other.

Here,

When one thing varies to another there is always a constant of variation. direct variation it is; y = kx

use the x,y values to find k

5 = 4k

5/4 = k

The constant of variation when y varies directly as x is 5/4.

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Answer:

\(y = 12 \tan(30 \degree ) \\ y = 6.92\)

\(x = \frac{12}{ \cos(30 \degree) } \\ x = 13.8\)

\( \small{ \star{ \underline{ \blue{becker}}}}\)

Answer:

A

Step-by-step explanation:

A)

180-44.42-57.12= 78.46

Answer: 9 miles

Step-by-step explanation: 12 mph/60 so you can get mpm(miles per minutes)

Multiply the 0.2x45 (0.2 from 12/60 and 45 from how long the first biker had ridden on his bike)

Answer 9 miles  

Answer:

x + 3

Step-by-step explanation:

x - 117 + 120

= x + ( 120 - 117 )

= x + 3

The value of x is: D. x = 14.

In Mathematics, the exterior angle theorem or postulate states that the measure of an exterior angle in a triangle is always equal in magnitude (size) to the sum of the measures of the two remote or opposite interior angles of that triangle.

By applying the exterior angle theorem, we can reasonably infer and logically deduce that the sum of the measure of the two interior remote or opposite angles in the given triangle is equal to the measure of angle x (∠x);

7x - 3 = 41 + 4x - 2

7x - 4x = 39 + 3

3x = 42

x = 14

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Answer:

1.     x is 162 degrees. y is 132 degrees

2.    x is 30 degrees. y is uh i dont know it might be 72 degrees tho .

The outcome of the complex number given is 7i+8/10 in its most basic form. Option C

Complex numbers are referred to as the square root of negative numbers. For instance √-1 = i.

In this expression 'i" is a complex number.

Given the expression below;

-7+8i / 10i

Rationalise

-7+8i / 10i * 10i/10i

= 10i(-7+8i)/10(i²)

= -70i+18(-1)/10(-1)

= -70i - 18/-10

= 7i+1.8

Hence the result of the given complex number in its simplest form is 7i+8/10

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Answer:

uh I don't even know what this is

Answer: x = 500

Step-by-step explanation:

Use the Pythagorean Theorem

a²+b²=c²

300² + 400² = x²

90000 + 160000 = x²

250000 = x²

√250000 = √x²

500 = x

hope i explained it :)

Answer:

$230

Step-by-step explanation:

Hes paid 200 for his wages but if he works overtime by 12 hours he gets half of the 5 dollars he earns per hour which is 2.5 which then is 2.5 times 12 which is then 30 plus the 200 he earned for the 40 hours.