place the items in the order in which they are found by selecting the correct step from each blue box.

The linear equation that shows how many packages of breadsticks Dirk bought as (1/4)b.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have Dirk who brought [b] breadsticks to a potluck. The breadsticks are packaged in bags of 4.

Assume that he bought [x] bags of breadsticks. Then, we can write the linear equation that shows how many packages of breadsticks Dirk bought as -

x = (1/4)b

Therefore, the linear equation that shows how many packages of breadsticks Dirk bought as (1/4)b.

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The length of the arc of the partial circle is 18.84 units.

As per the question statement, we are supposed to find out the length of the arc of the partial circle as given in the figure provided.

Before solving this question, we need to know the formula for calculating the arc length of the circle i.e.,

Arc Length = [tex]2\pi r(\frac{\alpha }{360} )[/tex]

where [tex]\alpha[/tex] is the angle provided between the arc end in degrees

[tex]r[/tex] is the radius of the given circle in given units and

[tex]\pi =3.14[/tex]

In the given circle, the angle subtended by the arc is complete angle minus 90 degrees i.e.,

[tex]\alpha =360 - 90 = 270 degrees[/tex]

radius [tex]r[/tex] = 4 units (given)

Therefore Arc Length = [tex]2\pi r(\frac{\alpha }{360} )[/tex]

[tex]= 2*3.14*4*(\frac{270}{360})\\ =25.12(0.75)\\=18.84 units[/tex]

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The length of a bacterial cell is about 5.36 x104 m, and the length of an amoeba cell is about 6.2 x 104 m.

Thus length of a bacterial cell is 0.864 times of length of an amoeba cell.

Given that the length of a bacterial cell is about 5.36 x 10⁻⁴ m, and the length of an amoeba cell is about 6.2 x 10⁻⁴ m.

Ratio of the size of the cell is

B/A = 5.36 x 10⁻⁴/6.2 x 10⁻⁴

B/A = 5.36/6.2

      =  0.864

Thus length of a bacterial cell is 0.864 times of length of an amoeba cell.

micro organism are prokaryotes, lacking nicely-defined nuclei and membrane-sure organelles, and with chromosomes composed of a unmarried closed DNA circle. they come in many sizes and styles, from minute spheres, cylinders and spiral threads, to flagellated rods, and filamentous chains.

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Answer:

yes. because every time it is turned it should equal out to be the same angle as the last

Answer:

[tex](x+3)^2=-4(y-3)[/tex]

Step-by-step explanation:

Standard form of a parabola with a vertical axis of symmetry

[tex]\large\boxed{(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0}[/tex]

[tex]\textsf{Vertex}=(h, k)[/tex]

[tex]\textsf{Focus}=(h,k+p)[/tex]

[tex]\textsf{Directrix}:y=(k-p)[/tex]

[tex]\textsf{Axis of symmetry}:x=h[/tex]

If p > 0, the parabola opens upwards.

If p < 0, the parabola opens downwards.

From inspection of the given graph:

Therefore:

Substitute the found values of h, k and p into the formula:

[tex]\implies (x-(-3))^2=4(-1)(y-3)[/tex]

[tex]\implies (x+3)^2=-4(y-3)[/tex]

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Answer: 5,2 2,3 2,2

Step-by-step explanation:

Step-by-step explanation:

We know that,

[tex] ➟\sf \: fv \: of \: annuity \: = p( \frac{(1 + r) {}^{n} - 1}{r} )[/tex]

where,

FV of annuity = $35,450

P = monthly payment,

r = rate of interest = 5.5% annually = [tex] \frac{5.5}{12}%[/tex]

n = number period = 20 years = 240 months

Putting all the values,

[tex] \sf35450 = p( \frac{(1 + \frac{0.055}{12} ) {}^{240} - 1}{ \frac{0.055}{12} } )[/tex]

[tex] \sf \: p = \frac{35450}{( \frac{(1 + \frac{0.055}{12} ) {}^{240} - 1}{ \frac{0.055}{12} } )}[/tex]

[tex] \sf \: p \: = \: \$81.36[/tex]

Therefore, they should deposit $81.38 monthly.

The average rate of change of the function f(x)  = 8x² - 6 is given as  8h + 16x

It quantifies how much the function changed per unit on average throughout that time span. The slope of the straight line connecting the interval's ends on the function's graph is used to calculate it.

f(x) = 8x^2 - 6

Avge rate : [ f(x+h) - f(x)]/(x +h - x)

f(x+h) = 8(x+h)^2 - 6

f(x) = 8x^2 - 6

f(x+h) - f(x) = 8x^2 + 8h^2 + 16xh + 6 - 8x^2 -6 = 8h^2 + 16xh

Avg rate = ( 8h^2 + 16xh)/h

= 8h + 16x

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The average rate of change of the function over the interval is 8(b + 1)

The given parameters are

Function: f(x) = 8x^2 - 6

Interval: [1, b]

Calculate f(1) and f(b) using the function definition

So, we have

f(1) = 8(1)^2 - 6 = 2

f(b) = 8(b)^2 - 6 = 8b^2 - 6

The average rate of change of the function over the interval is then calculated as

Rate = [f(b) - f(1)]/[b - 1]

This gives

Rate = [8b^2 - 6 - 2]/[b - 1]

Evaluate

Rate = [8b^2 - 8]/[b - 1]

Factorize the numerator

Rate = [8(b + 1)(b - 1)]/[b - 1]

Divide through by b - 1

Rate = 8(b + 1)

Hence, the average rate of change of the function over the interval is 8(b + 1)

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Answer:

6

Step-by-step explanation:

1-3=-2

-2+8=6

Actors that can be manipulated by humans or artificial intelligence (AI) all descend from the Pawn class. A player or AI entity's physical representation in the world is called a "Pawn." This means that the player's or AI entity's physical interactions with the outside environment, such as collisions and other physical interactions, are likewise controlled by the Pawn. This can be perplexing in some situations because some game types might not have an obvious player mesh or avatar. Regardless, the Pawn continues to reflect a player or other entity's actual position, rotation, etc. within the game. A unique class of Pawn that can move around is called a Character.

The default relationship between Controllers and Pawns is one to one, which means that each Controller can only have one Pawn under their control at any given moment. Additionally, a Controller does not necessarily hold a Pawn that spawns while a game is being played.

When someone is manipulating you, they are likely mentally forcing you to do something you don't truly want to do, the expert claims. You may feel compelled to do it, afraid to do it, or guilty if you don't.

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Answer: 3 = b (maybe, usually unsure)

Step-by-step explanation: bing

y = mx + b, this is the formula.

b = y-intercept
m = slope

1. We know that (-1,6) is our pair.

2. The formula when written with the info is y = -3x + b

3. We know that -1 is the x and the y is 6, so subbing the x and y in the formula, it is 6 = -3(-1) + b.

4. When multiplied, it becomes 6 = 3 + b

5. Then we combine like terms, by subtracting 3 into 6, making 3 = b

6. So, it is 3 = b

According to the question, Pat wants to buy four donuts.

Let us assume donuts should be represented as ’D’. And the four donuts can be represented as ‘DDDD’.

Now, as per the question, there are three types of donuts and they are glazed, chocolate and powdered. Divide the donut into two parts as first one is glazed, second is chocolate and third is powdered. And the quantity of glazed is one, chocolate is two and powdered is one. And the total object is six. Therefore, the probability can be written as:

[tex]P(E) = \frac{6P2}{2} = 15 ways.[/tex]

Hence, there are [tex]15[/tex] ways to select the donuts.

What is Probability?

The term probability means the study of the occurrence or the outcomes of the event. It is the measurement of the events that occurred during events. And many uncertain events cannot be measured.

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Answer: False

Step-by-step explanation:

4 x 10^6 = 4000,000

400,000 is 4 x 10^5

Answer:

False

Step-by-step explanation:

10^6=1,000,000   ==> 10^6 has 6 zeros after the '1', making 10^6=1 million.

4*10^6=4,000,000, not 400,000

Answer:

-21 If that is a option

Step-by-step explanation:

Answer: I hope this helps.

Step-by-step explanation:

Answer:

4(2+3) is the answer

Step-by-step explanation:

Those are both factors of 8 and 12 and it is re written.

4(2+3)

4*2 + 4*3

8+12

Translate △XYZ  9 units to the right and then 11 units down to get △JLK.

We need to map △XYZ to △JLK.

From the figure, △XYZ  is in the 2nd quadrant and  △JLK is in the 4th quadrant.

Also it is clear that side XY is mapped to JK, YZ to KL and XZ to JL.

To find the distance translated to the right we need to find the distance between the x- coordinates of the corresponding points of the two triangles as they are congruent.

Consider Y and K. The x- distance between Y and K = 6 - - 3 = 9 units.

So first 9 units translation to right.

Similarly, To find the translation downwards, we need to find the distance between the y-coordinates of Y and K.

y-Distance between Y and K = 1- -10 = 11 units.

So next 11 units translation to down.

This will give the △JLK from  △XYZ .

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Answer:

-3 is in between - 2 and - 4, - 9 is in between - 8 and - 10

follow and likes and plot the point (-3,-9)

Answer:

your dot will be next to -10

Step-by-step explanation:

Answer:

54º, 108º and 18º respectively

Step-by-step explanation:

The error in the subtraction process is that 0.1 is not added to the 0 in the hundredth place of the term 3.5, so as to enable 0.06 to be subtracted from it.

The correct equation is as follows;

3.5 - 2.46 = 1.04

The given equation that has an error is presented as follows;

3.5 - 2.46 = 1.16

The description of the error in the above equation is that during subtraction, the 0.06 value on the right of the subtraction mark is not subtracted from the zero to the right of .5, and carried down.

The correct process for the subtraction is presented as follows;

3.5¹0

- 2.46

1.04

Therefore;

3.5 - 2.46 = 1.04

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Answer:

3 terms

Step-by-step explanation:

3, y and ^2 are all terms in the expression

Her door should be 3 cm on scale .

It is given that dimension of the kitchen table is 60m by 2 m .

Let the width of the door be " x".

We given Mal's Kitchen door is 1.2 m wide .

The ratio is given by

   [tex]x:1.2[/tex]     ......(1)

She decides on a scale of 1 to 40 which means 1 : 40    .....(2)

Equating equation (1) and (2) , we get

     [tex]x:1.2=1:40[/tex]

Representing in fraction , we get

        [tex]\frac{x}{1.2} =\frac{1}{40} \\\\x=\frac{1.2}{40} \\\\x=0.03m\\x=3cm[/tex]

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The complete question is mention below :

Mai wants to make a scale drawing of her kitchen. her kitchen is a rectangle with length 6m and width 2m. She decides on a scale of 1 to 40. Mal's Kitchen door is 1.2 m wide. How wide should the door be on the scale drawing?How wide should the door be on the scale drawing?

Triangle OCE is congruent to Triangle OVE.

triangle LAP is congruent to triangle YAP.

9.

Triangle OCE is congruent to Triangle OVE

side CE=CV

angle COE= angle VOE

angle C = angle V

By AAS congruency Triangle OCE is congruent to Triangle OVE.

10.

angle LAP =angle YAP

AP common side

LA=PY

By SAS congruency so triangle LAP is congruent to triangle YAP.

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Tom drives 243 miles in 3 hours.

What is speed?

So, to find how many miles Tom can drive in 3 hours:

Tom drives 81/2 miles every 1/30 hour.

81/2 miles = 40.5 miles

1/30 hours = 30 minutes

So, in 30 minutes Tom drives 40.5 miles.

Then, in 1 hour Tom will drive 40.5 + 40.5 = 81 miles.

Miles Tom will drive in 3 hours = 81 × 3 = 243 miles.

Therefore, Tom drives 243 miles in 3 hours.

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Answer: $455

Step-by-step explanation:

I would think you would divide 260 by 4 and that would get you 65 and then multiply 65*7 and that would be $455

The probability of getting a sum of at least 9 is 0.277 and the probability of the two dice show the same result is 0.166

The sample space for the pair of fair dice is { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}

The probability of getting a sum of at least 9 =no of outcomes whose sum is 9 or more / no of elements of sample space

 = 10/36

=0.277

The probability of the two dice shows the same result = no of elements having the same result/ total number of outcomes

=6/36

=0.166

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A parallelogram has an area of 20 units².

Solution:

Explanation:

Using the distance formula, calculate the length of the base b:

[tex]\begin{aligned}&\mathrm{d}=\sqrt{\left(\mathrm{y}_2-\mathrm{y}_1\right)^2+\left(\mathrm{x}_2-\mathrm{x}_1\right)^2} \\&\mathrm{~b}=\sqrt{(3-0)^2+(5-0)^2}=\sqrt{9+25}=\sqrt{34}\end{aligned}[/tex]

Using the perpendicular distance from a line to a point formula, calculate the height h:

Determine the baseline:

In Ax + By + C = 0 form, the bottom line is:

[tex]\begin{aligned}&\frac{3}{5} \mathrm{x}-\mathrm{y}=0 ; 5\left(\frac{3}{5} \mathrm{x}-\mathrm{y}=0\right)=3 \mathrm{x}-5 \mathrm{y}=0\\&\mathrm{A}=3 ; \mathrm{B}=-5 ; \mathrm{C}=\mathrm{O}\\&h=\frac{|3 \cdot 0+(-5) \cdot 4+0|}{\sqrt{3^2+(-5)}}=\frac{|-20|}{\sqrt{9+25}}\\&\mathrm{h}=\frac{20}{\sqrt{34}}\\&\mathrm{A}=\mathrm{bh}=\sqrt{34} \cdot \frac{20}{\sqrt{34}}=20 \text { units }^2\end{aligned}[/tex]

Therefore, a parallelogram has an area of 20 units².

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The complete question is given below:

In this problem, you will explain using simple plane geometry how to compute the area of a parallelogram in terms of cartesian coordinates.

The inequality that represents the heights of every other person who ever lived is, 9 ≥ x

We have to find the inequality that represents the heights of every other person who ever lived, where the tallest person who ever lived was approximately 9 feet tall, according to the question.

Here x denotes the height of every person who ever lived,

So, the inequality is, 9 ≥ x

Every person ever lived, must be equal to or lesser than 9 feet.

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Th number of tiles the students need is 512.

The first step is to convert feet to inches

1 feet = 12 inches

The next step is to convert the dimensions of room 111 to inches

8 x 12 = 96 inches

16 x 12 = 192 inches

Now, determine the area of the room and the tiles.

Area = length x width

Area of the room = 96 x 192 = 18,432 in²

Area of the tile = 6 x 6 = 36 in²

Number of tiles needed = 18,432 in² / 36 in² =512

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The graphs of the function is attached below.

The transformation used by the is function is that the function is stretched and a vertical shift of 3 units downwards.

The given graph is y = 2 x³ - 3

To understand the transformation we have to find the parent function.

For this graph the parent function is given by:

y = x³

So let us transform the graph to y=2x³  , the graph is stretched 2 times.

Now let us use the final function y = 2 x³ - 3 , here the graph is vertically shifted downwards.

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