Two boxes can hold the same amount of sand. Box 1 is 1/4 filled and box 2 is 2/3 filled. If the sand in box2 is poured into box 1, what is the fraction of box 1 still not filled a.1/12 b.3/7 c.4/7 d.11/12

Answer:

Bottom right option

Step-by-step explanation:

To find this, we can calculate:

1/2 * 4.32 * 10⁻⁴

= (1/2 * 4.32) * 10⁻⁴

= 2.16 * 10⁻⁴

The diameter of a new cell is 2.16×10−⁴millimeters

First step is to calculate 4.32×10−⁴ to the original numbers

4.32×10−⁴ =0.000432

Second step is to determine the diameter of a new cell

New cell diameter=0.000432×1/2

New cell diameter=0.000216

New cell diameter=2.16×10−⁴millimeters

Inconclusion The diameter of a new cell is 2.16×10−⁴millimeters

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Answer:

D. g(x) is a reflection of f(x) over the x-axis.

Step-by-step explanation:

Given

f(x) = 2x²

g(x) = -2x²

Required

Determine the difference between f(x) and g(x)

Start by expanding g(x)

g(x) = -2x²

g(x) = -1 * 2x²

Substitute 2x² for f(x)

g(x) = -1 * f(x)

g(x) = -f(x)

Using the format (x,y):

Take for instance x = 2

f(x) = 2x² = 2 * 2² = 2 * 4 = 8

This means (x,y) = (2,8)

g(x) = -f(x)= -8

This means that (2,-8)

Notice that only the y value changed in both cases from 8 to -8

From the above expression, g(x) = -f(x) and illustration of when x = 2

This implies that g(x) is a reflection of f(x) along the x axis..

From the list of given options, the correct answer is D.

Answer:

Solution: The average rate of change of  represents that the second variable is decrease by 14 if the first variable increase by 3. In terms of water slide the vertical height of slide is decreased at the rate of 4.66 per unit. The vertical height of the slide decrease 70 units from x = 0 to x = 15.

Explanation:

The rate of change shows the change in first variable with respect to change in second variable.

If the rate of chang is given by  it means second variable is decrease by 14 if the first variable increase by 3.

In the context of water slide it shows that the vertical height of slide is decreased by 14 units as we cover the distance of 3 units.

If we cover the distance from x = 0 to x = 15, it means we cover the distance of 15 units.

Let the vertical height of the slide covered from x = 0 to x =15 be y.

It means when distance increased by 15 units the height of slide decreased by y units.

So rate of change = .

It is given that the rate of change is .

Equate both equations.

Therefore, the average rate of change of  represents that the second variable is decrease by 14 if the first variable increase by 3. In terms of water slide the vertical height of slide is decreased at the rate of 4.66 per unit. The vertical height of the slide decrease 70 units from x = 0 to x = 15.

Answer:

460256

Step-by-step explanation:

35900 books equal to 7.8% of all copies sold

Total number of books:

Answer is 460256 in whole numbers

Answer:

The correct answer is;

ΔANT ≅ ΔFLE by the SIde-Side-Side (SSS) rule of congruency

Step-by-step explanation:

The given information are;

Segment TN is congruent ts segment EL

Segment TA is congruent ts segment EF

Segment AN is congruent ts segment FL

Therefore, triangle ΔANT is congruent to ΔFLE by the Side-Side-Side (SSS) rule of congruency

One of the rule used to serve as proof that two or more triangles are congruent, is the Side-Side-Side (SSS) rule of congruency. The Side-Side-Side rule of congruency states that if the dimensions of the three sides of one triangle are equal to the dimensions of the three sides of another triangle, the two triangles are congruent.

Therefore, the correct option is ΔANT ≅ ΔFLE by the Side-Side-Side (SSS) rule of congruency

Answer: cannot be determined

Step-by-step explanation:

there isnt a rule SSS

Answer:

16,848+17,160+17,576+18,200+18,720+19,240+21,840=

129,584

Step-by-step explanation:

[tex]$8.10, $8.25, $8.45, $8.75, $9.00, $9.25, and $10.50\\[/tex]

Annually= Yearly, A year has 365 days.

They work 40 hours a week, 8*5=40.

There are aprox, 10 holidays in a year. (You can change this in your work)

They have 2 weeks unpaid vacation, 14 days.

There are aprox, 52 weeks in a year. (You can change this in your work)

52 weeks - 2 weeks of unpaid vacation= 50 weeks.

Now Let's calculate the weekly income, for

$8.10*40=$324 per week.

$8.25*40=$330 per week.

$8.45*40=$338  per week.

$8.75*40=$350 per week.

$9.00*40=$360  per week.

$9.25*40=$370 per week.

$10.50*40=$420  per week.

Now Let's calculate the annually income, for each clerk.

324*50=16,200 + 648=16,848

330*50=16,500 + 660=17,160

338*50=16,900 + 676=17,576

350*50=17,500  + 700=18,200

360*50=18,000 + 720=18,720

370*50=18,500 + 740=19,240

420*50=21,000 + 840=21,840

Now the total annual payroll=

16,848+17,160+17,576+18,200+18,720+19,240+21,840=

129,584

Answer:

5) It was 5/12 of the way full

6) It holds 48 gallons.

Step-by-step explanation:

For #5, you can simply find the lowest common denominator, which was 12, so you would multiply 3/4 by 3/3 and 1/3 by 4/4, giving you 9/12 and 4/12. Next you would subtract 4 from 9 and get the answer 5/12.

For #6 you can set up the problem as a ratio, 5/12 and 20/x, and then cross multiply, getting the equation 5x = 240. Then divide by 5 and you get the answer 48.

Hope this helps!!

Answer:

5/12 When the water leaked out.

48 Gallons when full.

Hope this Helps!

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:

12 ft²

Step-by-step explanation:

area = length * width

area = 4 ft * 3 ft

area = 12 ft²

Answer:

3/4 of the whole day(24 hours)

Step-by-step explanation:

1/3 of 24 hours equal to 8 hours. He slept for 8 hours. So his waking time equals 24-8=16

5/8 of his waking time (16 hours ) equal to 10 hours.

now total time spent in his house 10 + 8 = 18

in fraction 18/24 = 3/4

He slept 1/3 of the day, and is awake 2/3 of the day (note that 1/3 + 2/3 = 3/3 = 1)

2/3 of 5/8 = (2/3)*(5/8) = (2*5)/(3*8) = 10/24 = 5/12 of the day is spent at home when he is awake

Add 1/3 and 5/12 to get

1/3 + 5/12 = 4/12 + 5/12 = (4+5)/12 = 9/12 = 3/4

He spent 3/4 of a whole day at home (equivalent to 18 hours)

Answer:

[tex]\boxed{x=24}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{32} =\frac{15}{20}[/tex]

[tex]\sf Cross \ multiply.[/tex]

[tex]20 \times x=32 \times 15[/tex]

[tex]20x=480[/tex]

[tex]\sf Divide \ both \ sides \ by \ 20.[/tex]

[tex]\displaystyle \frac{20x}{20} =\frac{480}{20}[/tex]

[tex]x=24[/tex]

Answer: x = 24

Step-by-step explanation: To solve for x in the given proportion, we use the means-extremes property.

The product of the extremes, (x)(20),

equals the product of the means, (32)(15).

So we have (x)(20) or 20x equals (32)(15) or 480.

So we have 20x = 480.

Dividing both sides by 20, x = 24.

Answer:

it's 40

Step-by-step explanation:

because, there's five numbers on each side of 40

Answer:

Step-by-step explanation:40

Answer:

The probability that a 57-year-old was involved in an accident is 0.0656.

Step-by-step explanation:

We are given the data for the drivers involved in an accident of different age groups.

And we have to find the probability that a 57-year-old was involved in an accident.

From the table given to us, it clear that a 57-year-old driver will lie in the age group of 55 - 64.

Now, the number of licensed drivers in the age group of 55 - 64 are 30,355 (in thousands).

The point to be noted here is that the data given of drivers in accidents (thousands) will include the data of drivers in fatal accidents.

So, the number of 57-year-old drivers involved in accidents are 1990 (in thousands).

The probability that a 57-year-old was involved in an accident is given by;

                        = [tex]\frac{1990}{30,355}[/tex]

                        = [tex]\frac{398}{6071}[/tex] = 0.0656 or 6.56%

Answer:

I believe it's (4^2)*12

Step-by-step explanation:

To find the correct amount of the window panes there are, we have to find how much window pains are in each of the window's. So we have a 4 by 4 so that's 16. Then we have to do 16*12 to get the total amount of panes since Panes Per Window multiplied by Number Of Windows equals Total Number Of Panes

Hope this helps! ∪ω∪

Answer:

x = 162 degrees.

Step-by-step explanation:

m < RSP = 180 - 72

= 106 degrees (adjacent angles)

m < Q = m < RSP ( Opposite angles in a parallelogram are equal).

So m < Q = 180 degrees.

m < x = 360 - 90 - 108

= 360 - 198

= 162 degrees.

Using the appropriate angle theorems, the value of the angle, x in the parallelogram would be 162°

At angle S :

S + 72 = 180 (sum of straight line angles)

S = 180° - 72°

S = 108°

S = Q (opposite angles of a parallelogram)

Q = 108°

Hence,

108° + x + 90 = 360

x = 360 - (108 + 90)

x = 162°

Hence, the value of x is 162°

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Answer:

233.5 in²

Step-by-step explanation:

First we have to find the slant height.

5²+14²=c²

25+196=c²

221=c²

c=14.866

Now we can find the lateral area.

[tex]\pi[/tex]rl

[tex]\pi[/tex](5)(14.866)

=233.51566

To the nearest tenth=

233.5 in²

Answer:

27

Step-by-step explanation:

By the theorem of intersecting secant and tangent out side of a circle, we have:

[tex] {60}^{2} = 48 \times (48 + x) \\ 3600 = 48 \times (48 + x) \\ \frac{3600}{48} = 48 + x \\ 75 = 48 + x \\ 75 - 48 = x \\ x = 27 \\ [/tex]

Answer:

-1=-2

4=-7

Step-by-step explanation:

for x=-1

y=(-1^2)+(2*-1)+1

y=-1-2+1

y=-2

for x=1

y= (-1^2)+(2*1)+1

y= -1+2+1

y=2

for x=4

y=(-4^2)+(2*4)+1

y=-16+8+1

y=-7

Answer:

y=¾(4x-20)

y=3x-15

Final answer= y - 3(x+12)

=y - 3x-36

=3x-15-3x-36

= -51

Answer:

The answer is -51

Step-by-step explanation:

Answer:

3^6 = 729

Step-by-step explanation:

3 to the power of 5 equals 243. Explain how to use that fact to quickly evaluate 3 to the power of 6  

Symbolically, we have:

3^5 = 243 (given)

Multiplying both sides by 3, we get:

3^6 = 3(243)

If you want to take this further, multiply 3(243):  3^6 = 729

The value of [tex]3^6[/tex] is 729.

Important information:

We need to find the value of [tex]3^6[/tex].

Using the rules of exponents, we get

[tex]3^6=3^{5+1}[/tex]

[tex]3^6=3^{5}*3^{1}[/tex]          [tex][\because a^{m+n}=a^ma^n][/tex]

[tex]3^6=243*3[/tex]

[tex]3^6=729[/tex]

Therefore, the value of [tex]3^6[/tex] is 729.

Find out more about 'Exponents' here:

https://brainly.com/question/14404700

Answer:

DE = 13.4 cm  (to 1 decimal place)

Step-by-step explanation:

Given: ABCD is a square

BC = AC = 12 cm    (opposite sides of a square are congruent)

E is midpoint of BC   (given)

BE = EC  = 12/2 = 6 cm

CD = AB = 12 cm   (opposite sides of a square are congruent)

angle ECD is a right angle (interior angles of a square are 90 deg.)

Consider right triangle ECD

DE = sqrt(EC^2+CD^2)    ............. pythagorean theorem

= sqrt(6^2+12^2)

= sqrt ( 36+144 )

= sqrt (180)

= 2 sqrt(45)

= 13.416 (to three dec. places)

Answer:

20%

Step-by-step explanation:

Hey there! I'm happy to help!

Let's look at our diameters.

[tex]1*10^2^1\\5*10^2^2[/tex]

We want to see how many times greater the diameter of the IC 1101 is than the Milky Way. So, we will divide it's diameter by the diameter of the Milky Way.

[tex]\frac{5*10^2^2}{1*10^2^1} \\[/tex]

We divide the numbers without exponents, giving us 5. Then, we divide the 10s with exponents. When dividing exponents, you subtract the numbers in the exponent to get your result. For example, x³÷x²=x

[tex]\frac{5*10^2^2}{1*10^2^1} = 5*10=50[/tex]

Therefore, your answer is 50.

Have a wonderful day! :D

Answer:

A. The students tend to have fewer siblings than the teachers.

Step-by-step explanation:

First we need to draw the dot plots correctly. If you count both sides they have 20 each.

Now, clearly none have fewer nobody here yet has more or less but going on to the next step.

Multiply exactly the number of siblings times how many people chose that many siblings. Ex: 2 (siblings) times 7 (people who has 2 siblings) = 14.  And so on.

On the Student A, we get a total of 41 people having sibling, if you count the 0's then there were a total of 43 people. But now on the Teacher's A Dot Plot, we have a total of 68 people, if you include the 0 then we have a total of 69.

So the answer is A. The students tend to have fewer siblings than the teachers.

Answer:

The sum is A

Step-by-step explanation:

Just ma duty to help the community

Using it's concept, it is found that the exterior angles of the triangle are given as follows:

B. <5

C. <4

The exterior angles of a triangle are the angles that are outside the triangle.

In this problem, the angles are 4 and 5, which means that options B and C are correct.

More can be learned about the exterior angles of a triangle at https://brainly.com/question/2546141

#SPJ1

Answer:

Step-by-step explanation:

To find the measure of angle x we use cosine

[tex] \cos( \alpha ) = \frac{adjacent}{hypotenuse} [/tex]

From the question

PO is the hypotenuse = 13

The adjacent is 12

Substitute the values into the above formula

That's

[tex] \cos(x) = \frac{12}{13} [/tex]

[tex]x = \cos^{ - 1} ( \frac{12}{13} ) [/tex]

x = 22.6198

We have the final answer as

Hope this helps you

Answer:

Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle. If you are working with equilateral triangles, divide 180 by three to find the value of X. All of the angles of an equilateral triangle are equal.

Step-by-step explanation:

Answer:

mean = 254.6

median = 120

mode = 60

midrange = 958

For average data sets i prefer by finding the mean

Step-by-step explanation:

mean :

(98+120+493+206+73+102+183+870+76+60+60+112+147+1018+201) ÷ 15 = 254.6

median : 60 60 73 76 98 102 112 120 147 183 201 206 493 870 1018

find the middle number

= 120

mode :

number that is more than one

= 60

midrange :

highest number - smallest number

= 1018 - 60

= 958

Answer:

5/8 of the game

Step-by-step explanation:

Half of a quarter is 1/2, and 1 quarter is already done, therefore 1/2, or to simplify it 1/8, plus 2/8, would be 3/8. Now, a quarter is 1/4th of something therefore there must be 4 quarters in a total.so that means that there are 8 halfves  in total , so 8-3=5, so the fractional parts of the game left is 5/8.

The part of the game i.e. left should be [tex]5\div 8[/tex]

Since the half of the quarter is one-half. And, the one quarter is done so one-half is remaining. That means

[tex]= 1\div 8 + 1\\\= 2\div 8[/tex]

Since one-fourth should be of something also there are total 4 quarters that means there are 8 halves.

So, remaining it should be

= 8 -3

= 5

Hence, The part of the game i.e. left should be [tex]5\div 8[/tex]

Learn more about game here: https://brainly.com/question/1415899

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] \frac{1}{2} ( - 4 - 2n) = - 17[/tex]

First of all try to see if there are fractions in the equation .

If so try to find the LCM of the fractions and multiply the equation through by the LCM.

If there is only one fraction multiply through by the denominator of the fraction to eliminate the fraction

If there are brackets try to solve the terms in the bracket first

For the above equation there is only one fraction which is 1/2 so we multiply through by the denominator that's 2

That's

[tex]2 \times \frac{1}{2} ( - 4 - 2n) = - 17 \times 2[/tex]

[tex] - 4 - 2n = - 34[/tex]

Try to make the unknown variable the subject

That's

[tex] - 2n = - 34 + 4[/tex]

Simplify

[tex] - 2n = - 30[/tex]

Divide both sides by -2 to make n stand alone

That's

[tex] \frac{ - 2n}{ - 2} = \frac{ - 30}{ - 2} [/tex]

We have the final answer as

Hope this helps you