1) A furlong is 1/8 of a mile. What part of a mile is 6 furlongs?

Hey there! I'm happy to help!

We want to put this 0.002 into scientific notation, where you put it as a one digit number multiplied by 10 raised to a certain power.

If we move the decimal to the right 3 times, we will have 2. We will multiply this 2 by [tex]10^-^3[/tex] to show that it is still equal to 0.002.

So, the mass of the mustard seed is 2×[tex]10^-^3[/tex].

Now, we multiply this mustard seed mass by the number of mustard seeds to find the weight of all of the mustard seeds combined.

(2×[tex]10^-^3[/tex])×(4.3602×[tex]10^4[/tex])

Let's round 4.3602 to the nearest whole number, which is 4. We multiply those two together.

2×4=8

And we multiply the two exponents. When multiplying them, you add the numbers in the exponent. -3 and 4 combined gives us 1, and 10 the first power is just 10.

So, a good estimate for the mass of the mustard seeds is 80 grams, which is the same as (2×[tex]10^-^3[/tex])×(4×[tex]10^4[/tex])=8×[tex]10^1[/tex]

Have a wonderful day! :D

Answer:

Hey There!! The answer to this is B: The mass of a single seed can be written as

There are total of seeds in the jar

Total mass is the multiplication of these both numbers.

Since we want an estimate, we can use 4 instead of 4.3602 in the 2nd number.

The rule to multiply two numbers in scientific notation is:

So using this formula we multiply the 2 numbers and get answer as follows:

Thus, Answer choice B is right.

Hope It Helped!~ ♡

ItsNobody~ ☆

Answer:

the length of DB is 17 in

Step-by-step explanation:

Consider the sketch attached.

We will draw an imaginary line from point C to met line AB at point E.

A right-angled triangle will now be formed between points CBE.

The dimensions of the right-angled triangle will be:

CB = 10 in

CE= 8 in

EB = unknown

We will now proceed to find out the length of side EB using the Pythagoras' theorem.

[tex]EB =\sqrt{CB^2 -CE^2} \\EB =\sqrt{10^2 -8^2} \\EB = 6 in[/tex]

From the shape, we can find out that another right-angled triangle is made between points DAB.

The dimensions of the triangle are:

DA= 8in

AB = 9 in + 6 in = 15 in

DB = unknown.

We will now proceed to find out the length of side DB using the Pythagoras' theorem.

[tex]DB =\sqrt{AD^2 +AB^2} \\DB =\sqrt{8^2 +15^2} \\DB = 17 in[/tex]

Therefore, the length of DB is 17 in

Answer:

4 17/25  

Step-by-step explanation:

                                                              68

four and sixty-eight hundredths => 4 -------  or 4 34/50  or 4 17/25                    

                                                               100

Answer:

you would need to use decimals

Step-by-step explanation:

Answer:

The average temperature per hour:

-2.5 °F

Step-by-step explanation:

(-12-48) / 24 =  -60/24

-60/24 = -2.5

In average decrease:

2.5°F

per hour

Answer:

[tex]y=-3x+7[/tex]

Step-by-step explanation:

This is asking you to provide the equation is slope-intercept form:

[tex]y=mx+b[/tex]

In this equation, m is the slope of the line and b is the y-intercept (where the x value is 0).

By looking at the graph, we can find the y-intercept:

[tex]y-intercept=7\\\\m=7[/tex]

To find the slope of the line, you can count how many spaces it takes to go from one point to another. To do this, it's best to find an even point (1,4) and make your way to (0,7).

The slope is represented by [tex]\frac{rise}{run}[/tex] , where the rise is the change in the y-axis and the run is the change in the x-axis.

From (1,4) , move up (rise) as many spaces as it takes to get to the y-axis level of "7", which is 3 spaces. From  here, move to the left (run) as many spaces as it takes to get to the x-axis level of "0", which is 1 space. Since you moved to the left, however, this means that the number will be a negative:

[tex]\frac{rise}{run}=\frac{3}{-1}=-\frac{3}{1}=-3[/tex]

The slope is -3.

Insert the information into the equation:

[tex]y=-3x+7[/tex]

:Done

Answer:

the desired equation is y = -3x + 7

Step-by-step explanation:

The y-intercept can be read directly from the graph:  (0, 7).  

Another point on the graph is (2, 1).

As we move from (0, 7) to (2, 1), we see x (the run) increasing by 2 and y (the rise) decreasing by 6.  Thus the slope of this line is m = rise/run = -6/2, or -3.

Start with the slope-intercept form of the equation of a straight line, which is y = mx + b.

Then 1 = (-3)(2) + b; find b:

1 = -6 + b, or b = 7

Then the desired equation is y = -3x + 7.

Answer:

The answer is option 2.

Step-by-step explanation:

First, you have to find the height of the triangle using Cosine Rule, cosθ = adjacent/hypotenuse :

[tex]cos(θ) = \frac{adj.}{hypo.} [/tex]

[tex]θ = 30,adj. = h,hypo = 18[/tex]

[tex] \cos(30) = \frac{h}{18} [/tex]

[tex]18 \cos(30) = h[/tex]

[tex]h = 9 \sqrt{3} \: m[/tex]

Next, you have to find the area of triangle using Sin Rule, Area = 1/2×a×b×sinC where a, b represent the side length of the angle and C is the angle :

[tex]area = \frac{1}{2} \times a \times b \times sin(C)[/tex]

[tex]let \: a = 9 \sqrt{3} ,b = 18,C = 30[/tex]

[tex]area = \frac{1}{2} \times 9 \sqrt{3} \times 18 \times \sin(30) [/tex]

[tex]area = 70.1 \: {m}^{2} \: (near.tenth)[/tex]

Answer:

70.1

Step-by-step explanation:

This is a 30-60-90 right triangle.

The ratio of side lengths is as follows:

short leg   :   long leg   : hypotenuse

    1            :    sqrt(3)     :       2

The short leg is 1/2 the hypotenuse.

The long leg is sqrt(3) times the short leg.

A = bh/2

A = (18/2)(18/2 * sqrt(3))/2

A = 70.1

Answer:

-3a-1/2b

Step-by-step explanation:

1/2(2a+b)-(4a+b)

2/2a+1/2b-4a-b

a-4a+1/2b-b

-3a+1/2b-2/2b

-3a-1/2b

Answer:

-3a -1/2 b

Step-by-step explanation:

1/2 (2a + b) - (4a + b)

Distribute

a + 1/2 b -4a -b

Combine like terms

a -4a  +1/2b - b

-3a -1/2 b

Answer:

∠RPS = 49º

Step-by-step explanation:

∠RPS + ∠QPR = 88º

(5x + 34) + (8x + 15) = 88

13x + 49 = 88

13x = 39

x = 3

plug x into equations:

∠RPS = 5(3) + 34

∠RPS = 15 + 34

∠RPS = 49º

check work:

∠QPR = 8(3) + 15

∠QPR = 24 + 15

∠QPR = 39

∠RPS + ∠QPR = 88º

49 + 39 = 88

Answer:

49

Step-by-step explanation:

(5x+34) + (8x+15)= 88

13x + 49 = 88

13x= 39

x=3

RPS= 5(3)+34

RPS= 15 +34

RPS= 49

Answer:

1 point should be located before 4 points below C.

1 point should be located before 4 points above B.

1 point should be located at point A.

Answer:

The sample proportion, p, of gun owners who own gun for protection is 0.67

Step-by-step explanation:

The information given are;

The sample size = 3930

The number of individuals who reported that they owned guns at least on gun = 1269

The number of the self reported gun owners that said the reason they owned gun for protection = 850

The sample proportion, p, of gun owners who own gun for protection is given as follows;

p = (The number of the self reported gun owners that said the reason they owned gun for protection )/(The number of individuals who reported that they owned guns at least on gun)

p = 850/1269 = 0.6698 ≈ 0.670 (to three decimal places)

Therefore, the sample proportion, p, of gun owners who own gun for protection = 0.67.

Answer:

  {1, 3, 5, 7}

Step-by-step explanation:

There are four possibilities:

  AD = AB -BC -CD = 1 -2 -4 = -5

  AD = AB +BC -CD = 1 +2 -4 = -1

  AD = AB -BC +CD = 1 -2 +4 = 3

  AD = AB +BC +CD = 1 +2 +4 = 7

Possible lengths of AD are 1, 3, 5, 7.

__

The negative sign means the segment is added toward the left instead of toward the right. A final negative value means D is left of A, instead of to the right.

Answer:

9 hours

11 hours

19 hours

9 hours, 11 hours, and 19 hours.

We can see that the given graph has both a climb and a fall.

The descending section of the graph shows a decline in battery life, and the rising part shows an increase in battery life.

The battery life increases while it is being charged.

Then, the increasing or steady component of the hours refers to the period of time Rory's phone might have been plugged into the charger.

Therefore, the times that this occurs are 9 hours, 11 hours, and 19 hours based on the selections provided.

Know more about mobile phones here:

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Answer:

13

Step-by-step explanation:

23-(12+6)+8

23-18+8

31-18

13

answer is 13

Step-by-step explanation:

Using the BODMAS rule,bracket of division or multiplication, addition or subtraction.

This applies the rule:

therefore,

23- (12+6)+8 ,calculate within bracket first

=23-(18)+8

now remove the bracket,by multiply by the -1

=23-18+8

the start calculate from the left to right

=23-10

=13

therefore the answer is 13

Answer:

Minimum candy Tyler gets = 32

Step-by-step explanation:

Given:

Number of candy in box = 50

Extra candy = 5

Find:

Minimum candy Tyler gets

Computation:

Assume.

Number of candy Tyler gets = x

Number of candy Jamie gets = x - 8

Total number of candy in box = 50 + 5 = 55

So,

Number of candy Tyler gets + Number of candy Jamie gets = Total number of candy in box

x + x - 8 = 55

2x = 63

x = 31.5

So,

Minimum candy Tyler gets = 32

The required measure for the given case is mode. The correct option is (b).

In order to find the mean, first sum all the values of the data and count the number of data then divide them.

In order to find the median, first check whether the number of data is even or odd. For even number, the median is n/2 th element of the sample and for odd number the median is (n + 1)/2 th element.

The given problem deals with a sample of data.

In order find the correct answer, each option is analysed one by one as follows,

(a) The mean of a sample of data represents a standard value for the whole sample such that the individual values of the data may be more or less than it. but, it does not tell about the number of times a value is repeated.

(b)The median of a given sample can tell the middle most value of data when arranged in ascending order.

(c) The mode of a sample is about the times of occurrence of a single value in the whole sample.

As per the given question, to tell about the most frequently brand mode can be used.

Hence, the statistical measure that measures gives the most frequently mentioned brand is mode.

To know more about Mean click on,

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Answer:

1) 0.00001

2) 0.00012

3)0.0000851

Step-by-step explanation:

Move the decimal place the amount of times being the same as the amount of zeros. Move it to make the number smaller because you are dividing.

1) move the decimal point to the right 3 times (because there are 3 zeros in 1000)

Hope that helped!!! k

Woah woah, no need to panic! I’ve got this taken care of for you!

1. 0.01 divided by 1,000= 100,000.000

Change the divisor 0.01 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.

We then have the equations:

100000 ÷ 1 = 100,000.000

and therefore:

1,000 ÷ 0.01 = 100,000.000

Both calculated to 3 decimal places.

2. 0.012 divided by 100= 8,333.333

Change the divisor 0.012 to a whole number by moving the decimal point 3 places to the right. Then move the decimal point in the dividend the same, 3 places to the right.

We then have the equations:

100000 ÷ 12 = 8,333.333

and therefore:

100 ÷ 0.012 = 8,333.333

Both calculated to 3 decimal places.

3. 0.000851 divided by 10= 11,750.881

Change the divisor 0.000851 to a whole number by moving the decimal point 6 places to the right. Then move the decimal point in the dividend the same, 6 places to the right.

We then have the equations:

10000000 ÷ 851 = 11,750.881

and therefore:

10 ÷ 0.000851 = 11,750.881

Both calculated to 3 decimal places.

I hope this helped! <3

- ʕ•ᴥ•ʔ

Answer:

£17.50

Step-by-step explanation:

30 punnets /  £20

= 30 / 20

= 1.5

1 punnet costs £1.5

30 strawberries * (1/6 punnets)

= 30 * (1/6)

= 30/6

= 5

5 punnets were rotten.

5 rotten punnets * £1.5

= 5 * 1.5

= 7.5

Sandeep lost £7.5 in profits.

6/6 punnets - 1/6 rotten punnets

= 6/6 - 1/6

= 5/6

5/6 punnets are good

30 punnets * 5/6 good punnets

= 30 * 5/6

= 150/6

= 25

Sandeep has 25 punnets left to sell

25 punnets to sell *  £1.50

= 25 * 1.5

= 37.50

Sandeep will get £37.50 from selling the punnets.  However, you must take into account that he lost £20 when he bought the strawberies.  THat money while be added back with some extra money left over:

£37.50 - £20

= 37.50 - 20

= 17.50

Put all into 1 equation:

{[30 * (5/6)] * 1.50} - 20

= {(150/6) * 1.50} - 20

= {25 * 1.50} - 20

= 37.50 -20

= 17.50

Overall, Sandeep's actual profits are equal to 17.50

I hope this is correct!  Please tell me if the answer or info I gave was wrong!

Answer:

[tex]$L=\frac{v^2}{2-2\cos(\theta)}$[/tex]

Step-by-step explanation:

Solve for [tex]L[/tex] in

[tex]$L-L \cos(\theta)=\frac{v^2}{2} \Longrightarrow L(1-\cos(\theta))=\frac{v^2}{2}$[/tex]

[tex]$L=\frac{v^2}{2(1-\cos(\theta))}=\frac{v^2}{2-2\cos(\theta)}$[/tex]

Answer:

440 in²

Step-by-step explanation:

Answer:

(D) 440 in²

Step-by-step explanation:

We can find the surface area of this complex shape by breaking it down into two smaller shapes:

The base (with side lengths of 10, 10 and 2) and the top (with side lengths of 5, 5, and 8.)

Let's first find the surface area of the base.

The sides of the bass are [tex]10\cdot2 = 20[/tex] in², since there are 4 of these sides, the total side area here is [tex]20\cdot4 = 80[/tex] in².

The bottom of this prism has side lengths of 10 and 10, so [tex]10\cdot10=100[/tex].

There are two of these sides.

[tex]100\cdot2=200[/tex].

Let's add up the side lengths and the base lengths.

[tex]200+80=280[/tex]

We aren't done yet - if we see, the top part is taking away some of that surface area. To find how much it is taking away, we need to find the area of that side.

Note that the side on the base is the exact same as the top, who's side lengths are 5 and 5. So [tex]5\cdot5=25[/tex] in² are being taken away from the base, making it [tex]280-25 = 255[/tex]

Now let's find the surface area of the top.

The side, with lengths of 5 and 8, have a surface area of [tex]5\cdot8=40[/tex] in². Since there are 4 of these sides:

[tex]40\cdot4=160[/tex] in².

Now, the top of the box has side lengths of 5 and 5, so the surface area of that is [tex]5\cdot5 =25[/tex] in².

We don't want to find the area of the bottom of the top prism because that cuts into the base and technically is empty space = no surface area.

Let's add the top and the sides of the top box: [tex]160+25=185[/tex] in².

Finally, let's add the base and the top box surface areas together:

[tex]185 + 255 = 440[/tex]

So the total surface area of this design is 440 in².

Hope this helped (oh my god this took so long to write)

Answer:

4x10⁷is more than 4x10¹⁰

Negative Correlation - These variables point towards the left making them negative.

Positive Correlation - These variables point towards the right making them positive.

No Correlation - These variables have the same x coordinates or same y coordinates.

Hope that helped!!! k

Answer:

x>-9/20 or x > -0.45

Step-by-step explanation:

simplify both sides of the inequality:

-20x-10<-1

add 10 to both sides of the inequality:

-20x<9

divide both sides of the inequality by -20:

x>-9/20

divide to discover the decimal value:

-9/20= -0.45

HOPE THIS HELPS!!!:)

Answer:x<-0.5

Step-by-step explanation:

10-19x-1x<-1

1st step=subtract 1x from 19x which will give you 18x

equation after:10-18x<-1

2nd step:subtract 10 from each side to isolate variable

equation after:-18x=9

3rd step:divide by side by -18 to isolate the variable

equation after:x<-0.5

Answer:

its

1/7

step by step

Answer:

The answer is H because there are 7 balls in total and two of which is red so the possiblity of getting the red ball is 2/7

Answer:

10*h+3*2*10

Step-by-step explanation:

Answer:

06:00 a.m.

Step-by-step explanation:

That very simble, from 0:00 to 11:59 you use am, from 12:00 to 23:59 you use p.m :)

Answer:

Definitely the bottom left

Step-by-step explanation:

Answer:

[tex]y=csc(\theta)[/tex]

[tex]y=cot(\theta)[/tex]

Step-by-step explanation:

I will just change

[tex]x=\pm n\pi, n \in \mathbb{Z}_{\ge 0}[/tex]

For

[tex]\theta = \pi n, n\in\mathbb{Z}[/tex]

Also, note that sine and cosine function don't have asymptotes.

The vertical asymptotes of cosecant occur every [tex]\pi n, n\in\mathbb{Z}[/tex]

It happens because the cosecant function is undefined for those values.

The cotangent function has asymptotes located at every integer multiple of [tex]\pi[/tex].

On the other hand, the vertical asymptotes of tangent function occur at:  

[tex]$\theta=\frac{\pi}{2} +n \pi, n \in \mathbb{Z}$[/tex]

It happens because the tangent function is undefined for those values.

Answer:

It's y = csc x and y = cot x.

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Vertex:  

(2,−2)

Focus:  

(2,−74)

Axis of Symmetry:  

x=2