Given b (x) = startabsolutevalue x 4 endabsolutevalue, what is b (negative 10)? negative 10 negative 6 6

The volume of space that was not used= Volume of each box × number of boxes not packed into the truck= 6ft³ × 6 2/3= 40ft³.

In order to determine the amount of space that was not used in the pick up truck, we have to calculate the maximum number of boxes that can fit into the truck.

The pick up truck has a length of 8ft, width of 10ft and height of 2ft. Therefore, the volume of the pick up truck can be calculated as follows;

Volume of the pick up truck= length × width × height= 8ft × 10ft × 2ft = 160ft³

On the other hand, the dimensions of each box are length of 2ft, width of 2ft and height of 1.5ft. Therefore, the volume of each box can be calculated as follows;Volume of each box= length × width × height= 2ft × 2ft × 1.5ft = 6ft³.

Hence, the total number of boxes that can fit into the pick up truck can be calculated by dividing the volume of the truck by the volume of each box.

This is as follows;

Total number of boxes that can fit into the pick up truck= Volume of the truck ÷ Volume of each box= 160ft³ ÷ 6ft³ = 26.67.

From the calculation above, we can see that a total of 26 boxes and 2/3 of a box can be loaded into the pick up truck with a cover. Since we have packed 20 boxes, it implies that the remaining number of boxes that was not packed into the pick up truck is;

Number of boxes that was not packed into the truck = 26 2/3 - 20 = 6 2/3 boxesWe can then determine the volume of space that was not used by multiplying the volume of each box by the number of boxes not packed into the truck.

Hence;Volume of space that was not used= Volume of each box × number of boxes not packed into the truck= 6ft³ × 6 2/3= 40ft³.Therefore, the amount of space that was not used is 40ft³.

The amount of space that was not used in the pick up truck with a cover is 40ft³.

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Answer:

Y=2x- 5

       -----

          2

Step-by-step explanation:

The best way to solve this problem is to imagine the situation as follows: Suppose that each position (first, second and third) is a numbered box. (first is box number one, and so on).

Now, imagine that each student is a ball that is numbered from 1 up to 11.

The situation translates to calculate in how many different ways we can put a ball in each box, without putting 2 balls in each box. We have the following

To solve this, we will use the multiplication principle. This principle relays on multiplying the number of possibilites for each box. Consider the case in which we will fill the box number 1. We can choose any of the numbers, so we have 11 posibilites. Now, suppose that we chose one number for box 1, and now we want to fill box 2. Then, we will have 10 possibilites only, since we already picked one. In the same manner, to fill the third box we have 9 possibilities. So the total number of possibilites is the product of this three numbers. That is

To fill in the whole box, one way to solve a fraction addition problem using a number model with an unknown is by using algebraic equations.

This is because algebraic equations use unknown variables to represent quantities that are unknown or unspecified. Thus, algebraic equations can be used to model and solve different types of problems, including fraction addition problems. To solve this problem using a number model with an unknown, we can use algebraic equations. The first step is to simplify the fractions by finding a common denominator.

We can use 12 as the common denominator since it is a multiple of both 3 and 4. Thus, $$\frac{2}{3}\ c dot \frac{4}{4}=\frac{8}{12}$$and$$\frac{x}{4}\c dot \frac{3}{3} =\frac{3x}{12}$$ Therefore, $$\frac{8}{12}+\frac{3x}{12}

=\frac{5}{6}$$ Multiplying both sides of the equation by 12, we get, $$8+3x=10$$.

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Answer:

  1

Step-by-step explanation:

You want the standard deviation of a normal distribution.

The "standard normal distribution" is defined to have a mean of 0 and a standard deviation of 1.

__

Additional comment

The standard distribution is often shifted and scaled to have some other particular mean and standard deviation. The computation of a "Z-score" is a way to relate a value in the scaled distribution back to the characteristics of the standard normal distribution. The Z-score is the number of standard deviations a value is from the mean.

(a) The marginal cost C'(x) is given by C'(x) = 0.0003x^2 - 0.04x + 2.

(b) Using Leibniz's notation for the chain rule, we have dt/dC = (dx/dC) * (dt/dx).

(c) Substituting the values, when t = 4 weeks, into the expression for dt/dC, we get dt/dC = 1 / C'(x) = 1 / (0.0003x^2 - 0.04x + 2).

To find the marginal cost, we differentiate the cost function C(x) with respect to x. Taking the derivative of C(x) = 0.0001x^3 - 0.02x^2 + 2x + 400, we get C'(x) = 0.0003x^2 - 0.04x + 2.

To find dt/dC, we need to find dx/dC first. Rearranging the equation x = 1300 + 100t, we get t = (x - 1300)/100. Taking the derivative of this equation with respect to C, we get dx/dC = (dx/dt) * (dt/dC) = (dx/dt) / (dC/dx) = 1 / (dC/dx).

Therefore, the rate at which the cost is changing with respect to time t is given by dt/dC. To determine how fast costs are increasing when t = 4 weeks, we substitute x = 1300 + 100t and t = 4 into the expression for dt/dC:

dt/dC = 1 / (0.0003(1300 + 100t)^2 - 0.04(1300 + 100t) + 2).

Simplifying this expression will give us the rate of increase in dollars per week. However, the given information is incomplete, as the values for x and t are not specified.



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The margin of error for a 95% confidence interval for the mean, with a lower value of 102 and an upper value of 131, would be 14.5.

In statistics, a confidence interval provides a range of values within which the true population parameter is likely to fall. The margin of error is a measure of the uncertainty associated with estimating the population parameter.

For a 95% confidence interval, the margin of error is determined by dividing the width of the interval by 2.

Since the width of the interval is the difference between the upper and lower values, we can calculate the margin of error by subtracting the lower value (102) from the upper value (131), which gives us 29. Dividing this by 2, we find the margin of error to be 14.5. Therefore, the margin of error for this 95% confidence interval is 14.5.

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Answer:

Step-by-step explanation:

The equation that describes the simple harmonic motion of the particle is:

x = 7 * sin(2t + φ)

The equation that describes the simple harmonic motion of a particle moving uniformly around a circle can be represented as:

x = A * sin(ωt + φ)

In this equation:

x represents the displacement of the particle at time t.

A represents the amplitude of the motion.

ω represents the angular frequency or angular speed of the motion.

t represents time.

φ represents the phase constant.

In the given scenario, the particle is moving uniformly around a circle of radius 7 units, with an angular speed of 2 radians per second. In circular motion, the displacement can be represented by the arc length along the circumference of the circle.

Since the angular speed is 2 radians per second, the angular frequency (ω) is also 2 radians per second.

Since the particle is moving uniformly, the amplitude of the motion (A) is equal to the radius of the circle, which is 7 units.

The phase constant (φ) determines the initial position of the particle at t = 0.

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Answer:

10 by 8

Step-by-step explanation:

The perimater is 80 so number are added. The area would be a square 10 by 8 if you multiply 10 by 8 it will give you 80.

Answer:

m = 1/2

Step-by-step explanation:

Look at the points on the graph and determine what the slope would be using the slope formula. y2-y1 / x2-x1.

2 - 0 / 0 - (-4)

2/4

1/2

Answer:

the slope of the line is 2

Step-by-step explanation:

use the formula for the slope of a line: y2-y1/x2-x1

this will give you 2-0/0-(-4) = 2/4

simplified to 2 for the slope.

if the answer you need is just the slope ten it would be 2

if you're looking for the equation of the line it would be y=2x+2

In order to determine whether a bar graph or a line graph is appropriate for illustrating experimental data, the researcher must carefully analyze and consider the nature of the data and the specific research question being addressed.

A bar graph is typically used to compare different categories or groups, while a line graph is used to show trends over time.

Therefore, if the data being presented involves categorical or discrete variables, a bar graph would be appropriate.

However, if the data involves continuous variables that vary over time, a line graph would be more appropriate.

In general, it is important to consider the type of data being presented, as well as the specific research question being addressed, when selecting an appropriate graph type.

A bar graph is a graph that uses bars to represent data and is suitable for discrete and categorical data.

On the other hand, a line graph is a graph that uses lines to connect data points and is suitable for continuous data.

In summary, the nature of the data should be analyzed before selecting an appropriate graph type.

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Answer:

he could drive 4 hours

Step-by-step explanation:

Step-by-step explanation:

if he drives for 1 hour he will have 21 gallons left

2 hours = 15 gallons left

3 hours = 9 gallons left

4 hours = 3 gallons left

4.5 hours = 0 gallons left

he could drive a total of 4.5 hours before he runs out of gas

Answer:

Farthest distance = Salvador's

Shortest distance = Jennifer's

Step-by-step explanation:

Given the following :

Marcel's paper airplane = 3.345

Salvador's plane = 3.35 meters

Jennifer's plane = 3.3 meters

Unit = u

Tenth= te

Hundredth = hth

thousandth = th

__________u__te____hth____th

Marcel_____3__3_____4_____5

Salvador___ 3__3_____5_____0

Jennifer ___ 3__3_____0_____0

All inputs have the same unit and tenth value,

Hence, the input with the greatest hundredth value is largest and hence has the Farthest distance while the input with the least hundredth value will have the shortest distance.

Whose plane traveled the Farthest distance = Salvador (5 in hundredth place)

Whose plane traveled the shortest distance = Jennifer ( 0 in hundredth pace)

The two types of figures are open and closed, respectively. Figures that don't end where they begin are said to be open figures. Closed figures are those whose origin and destination are the same.

Closed geometric shapes are made up of points, line segments, circles, and curves. All around us, we can observe these types of shapes. Circle, rectangle, triangle, and other geometric shapes are a few examples. The triangle-shaped slices of a pizza are round.

example

Straight lines have been drawn on the floor, the door, the window, and the zebra crossing by the roadside in the classrooms. Even though angles are used in building construction, they also have connections to disciplines like physics and chemistry.

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Answer:

C. Evaluate f - 6g

1. 4

2. 45

3. -35

4. 0

D. Evaluate \(\frac{18}{m}\)+ p

1. 7

2. 0

3. 2

4. -3

Step-by-step explanation:

Answer and Explanation:

We can solve for the value of expressions given the variable values by plugging the given values into the expression.

If \(f = 10\) and \(g=1\) ...   \(10 - 6(1) = \boxed{4}\)

If \(f=33\) and \(g=-2\) ...   \(33-6(-2) = 33+12 = \boxed{45}\)

If \(f = -5\) and \(g=5\) ...   \(-5 - 6(5) = -5-30=\boxed{-35}\)

If \(f = -42\) and \(g=-7\) ...   \(-42 - 6(-7) = -42 + 42 = \boxed{0}\)

If \(m=3\) and \(p=1\) ...   \(\dfrac{18}{3} + 1 = 6 + 1 = \boxed{7}\)

If \(m=-2\) and \(p=9\) ...   \(\dfrac{18}{-2} + 9 = -9 + 9 = \boxed{0}\)

If \(m=6\) and \(p=-1\) ...   \(\dfrac{18}{6} + (-1) = 3-1 = \boxed{2}\)

If \(m=-9\) and \(p=-5\) ...   \(\dfrac{18}{-9} + (-5) = -2 -5 = \boxed{-7}\)

The equation \((sin(x)cos(x))^2 = sin(2x)\) is verified to be an identity.

Simplify LHS and RHS?

To verify whether the equation \((sin(x)cos(x))^2 = sin(2x)\) is an identity, we can simplify both sides of the equation and see if they are equivalent.

Starting with the left side of the equation:

\((sin(x)cos(x))^2 = (sin(x))^2(cos(x))^2\)

Now, we can use the trigonometric identity \(sin(2x) = 2sin(x)cos(x)\) to rewrite the right side of the equation:

\(sin(2x) = 2sin(x)cos(x)\)

Substituting this into the equation, we have:

\((sin(x))^2(cos(x))^2 = (2sin(x)cos(x))\)

Next, we can simplify the left side of the equation:

\((sin(x))^2(cos(x))^2 = (sin(x))^2(cos(x))^2\)

Since both sides of the equation are identical, we can conclude that the given equation is indeed an identity:

\((sin(x)cos(x))^2 = sin(2x)\)

Hence, the equation \((sin(x)cos(x))^2 = sin(2x)\) is verified to be an identity.

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The work done by force f in moving a particle counterclockwise around the given curve is zero.

The given force \(f = (x-5y)i + (5x-y)j\) is a conservative force. A conservative force is characterized by having a curl of zero, indicating that it can be derived from a potential function. For conservative forces, the work done over a closed path is always zero.

In this case, the particle moves counterclockwise around the circle defined by \((x-4)^2 + (y-4)^2 = 16\). Since the force f is conservative, the work done by f on the particle is independent of the path taken and depends only on the initial and final positions of the particle.

As the particle completes one counterclockwise revolution around the circle, it returns to its initial position. Therefore, the work done by force f is zero, indicating that the force does not transfer any energy to or from the particle.

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Answer:  What the hell is this. I don’t understand a word

Step-by-step explanation:

Answer:

the start numbew woould be 26

Step-by-step explanation:

6 less than 26 is 20

Answer:

n=26

Step-by-step explanation:

To find the number of bicycles that must be manufactured to minimize the cost, we need to determine the value of x that corresponds to the minimum point of the cost function C(x).

We can find this by taking the derivative of C(x) with respect to x and setting it equal to zero. Let's differentiate C(x):

C'(x) = 6x - 1500

Now we set C'(x) = 0 and solve for x:

6x - 1500 = 0

6x = 1500

x = 250

Therefore, the number of bicycles that must be manufactured to minimize the cost is 250 bicycles.

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Put in 2 of the second spoon (1 teaspoon) and 1 of the third spoon (1/2 teaspoon).

The transformations are applied in the following order: horizontal translation, horizontal scaling, vertical reflection, and vertical scaling.

The transformations are applied in the following order:

Horizontal translation: The function is shifted 9 units to the right by subtracting 9 from the input variable x.

f(x) → f(x - 9)

Horizontal scaling: The function is compressed horizontally by a factor of 1/3 by dividing the input variable x by 3.

f(x - 9) → f(1/3(x - 9))

Vertical reflection: The function is reflected about the x-axis by multiplying the output values of f by -1.

f(1/3(x - 9)) → -f(1/3(x - 9))

Vertical scaling: The function is stretched vertically by a factor of 8 by multiplying the output values by 8.

-f(1/3(x - 9)) → -8f(1/3(x - 9))

Therefore, the transformations are applied in the following order: horizontal translation, horizontal scaling, vertical reflection, and vertical scaling.

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Let A(2,0),B(0,92)

Let A(2,0),B(0,92)and let mid-point be C(1,3p)

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (−1,3p)

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (−1,3p)Point =(−1,3p)=(−1,3×31)=(−1,1)

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (−1,3p)Point =(−1,3p)=(−1,3×31)=(−1,1)Putting (−1,1) in line

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (−1,3p)Point =(−1,3p)=(−1,3×31)=(−1,1)Putting (−1,1) in line5x+3y+2=0

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (−1,3p)Point =(−1,3p)=(−1,3×31)=(−1,1)Putting (−1,1) in line5x+3y+2=0⇒5(−1)+3(1)+2=0

angle 1 + angle 2 = 180

3x - 5 + 6x + 14 = 180

9x + 9 = 180

9x = 171

9x/9 = 171/9

x = 19

To find the common ratio (r), we divide any term of the sequence by its previous term. The common ratio (r) of the geometric sequence is 2/3. The fifth term (a₅) is $4/9. The nth term (aₙ) can be represented as           aₙ = (2/3)^(n-1).

To find the common ratio (r), we divide any term of the sequence by its previous term. In this case, we divide the second term (s₂/9) by the first term (1) to get (s₂/9) / 1 = s₂/9. Similarly, we divide the third term ($4/9) by the second term (s₂/9) to get ($4/9) / (s₂/9) = $4/9 * 9/s₂ = $4/s₂ = 2/3. Therefore, the common ratio (r) is 2/3.

To find the fifth term (a₅), we use the formula aₙ = a₁ * r^(n-1), where a₁ is the first term and n is the position of the term we want to find. In this case, a₁ = 1 and n = 5. Plugging in these values, we have a₅ = 1 * (2/3)^(5-1) = 1 * (2/3)^4 = 1 * 16/81 = $16/81 = $4/9.

Therefore, the fifth term (a₅) is $4/9.

The nth term (aₙ) of a geometric sequence can be represented as aₙ = a₁ * r^(n-1), where a₁ is the first term and r is the common ratio. In this case, a₁ = 1 and r = 2/3.

Thus, the nth term (aₙ) can be expressed as  aₙ = 1 * (2/3)^(n-1).

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Answer:

Pretty sure it's B

Step-by-step explanation:

Answer:

x=200 times the # of dollars donated by each person or "."

x=200(.)

Step-by-step explanation:

x is the total number of dollars donated. 200 is the number each person donated and "." or whatever variable is filling in, is the number of dollars each person donated.

you would multiply the number of people by the amount of money they each gave.

i hope this helps i was a little confused on what you were asking :(

Answer:

X-1=X×3

Step-by-step explanation:

it's pretty easy you just got to be focus

you can ask for help anytime