URGENT! thanks!


Bonnie makes the frame of a cube out of 12 pieces of wire that are each six inches long. Meanwhile Roark uses 1-inch-long pieces of wire to make a collection of unit cube frames that are not connected to each other. The total volume of Roark's cubes is the same as the volume of Bonnie's cube. What is the ratio of the total length of Bonnie's wire to the total length of Roark's wire? Express your answer as a common fraction.

Answer:

6 hours and 40 minutes

Step-by-step explanation:

10 taps = 4 hours

( ÷ 10 )         ( × 10 )

1 taps = 40 hours

( × 6 )       ( ÷ 6 )

6 taps = 6.66666666667 hours / 400 minutes

Final answer:

To fill an aquarium initially using 10 taps in 4 hours, using 6 taps would take 6 hours and 40 minutes.

Explanation:

The time it takes to fill the aquarium initially can be calculated by:

Determine the rate of filling using all 10 taps: 1/4 of the aquarium per hour (as 4 hours to fill).

Calculate the rate using 6 taps: 6/10 of the original rate.

Divide the time taken initially (4 hours) by the reduced rate to find the new time.

Therefore, the time it would take to fill the aquarium using only 6 taps is 6.67 hours or 6 hours and 40 minutes.

Answer:

d.

Step-by-step explanation:

The goal of course is to solve for x.  Right now there are 2 of them, one on each side of the equals sign, and they are both in exponential positions.  We have to get them out of that position.  The way we do that is by taking the natural log of both sides.  The power rule then says we can move the exponents down in front.

[tex]ln(2^x)=ln(3^{x+1})[/tex] becomes, after following the power rule:

x ln(2) = (x + 1) ln(3).  We will distribute on the right side to get

x ln(2) = x ln(3) + 1 ln(3).  The goal is to solve for x, so we will get both of them on the same side:

x ln(2) - x ln(3) = ln(3).  We can now factor out the common x on the left to get:

x(ln2 - ln3) = ln3.  The rule that "undoes" that division is the quotient rule backwards.  Before that was a subtraction problem it was a division, so we put it back that way and get:

[tex]x(\frac{ln(2)}{ln(3)})=ln(3)[/tex].  We can factor out the ln from the left to simplify a bit:

[tex]x[ln(\frac{2}{3})]=ln(3)[/tex].  Divide both sides by ln(2/3) to get the x all alone:

[tex]x=\frac{ln(3)}{ln(\frac{2}{3}) }[/tex]

On your calculator, you will find that this is approximately -2.709

Answer:

A.) 19.5

Step-by-step explanation:

Answer:

A

120

Step-by-step explanation:

With all the parallel lines involved, the central figure is a parallelogram.  These 4 sided figures have the odd property of having their opposite angles equal.

What that means, in plain English is that <NRL = <NML

Both of these angles = 120

Here's the cruncher. <NRL and <PRK are vertically opposite. They are therefore equal.

The answer to your question is 120 which is A

the answer is A good luck !

Answer:

56

Step-by-step explanation:

By tracing the lines on the tree diagram, we see the probability of both being red is 0.5 × 0.6 = 0.3.

The probability of both being blue is 0.5 × 0.4 = 0.2.

So we would expect to get both blue 2/3 of the times we get both red.

X = 2/3 (84)

X = 56

Answer:

  soccer

Step-by-step explanation:

Neither the 5th-floor nor 6-floor girl likes soccer, so that must be the sport of choice on the 7th floor.

Her first visit and follow up 60 mins + 30 mins

The limit is 8 follow ups per day

The hospital has 8 hrs available for appointments

Her first visit cost $120 (60 mins) as her follow up was $70 (30 mins)

X = Visits

Y = Follow-ups

And since her first visit and follow up equals to an hour and 30 mins, meaning for it to all add up into the 8 hrs for the appointment, it'll be... 1 hr, 30 mins/ 3 hrs/ 4 hrs, 30 mins/ 6 hrs/ 7 hrs, 30 mins/ 9 hrs

Eight hours is the limit so that means it equals to 5 visits and 6 follow ups, due to if you want it to be the whole 8 hours.

Claude is so Brainy his brain's nickname is Brainly

Answer: P = 19,571.42857142857

Step-by-step explanation:

Plug in the variables.

5480 = x(.04)(7)

.04*7=.28

5480=.28x

.28x/.28=x

5480/.28=19,571.42857142857

19,571.42857142857(.04)(7)=5480

P = 19,571.42857142857

Answer:

19571.43

Step-by-step explanation:

We are asked to solve for P using formula [tex]I=Prt[/tex], when [tex]I=5480; r=0.04\text{ and }t=7[/tex].

Upon substituting our given values in simple interest formula, we will get:

[tex]5480=P*0.04*7[/tex]

[tex]5480=P*0.28[/tex]

Switch sides:

[tex]P*0.28=5480[/tex]

Now, we will divide both sides of our given equation by 0.28 as:

[tex]\frac{P*0.28}{0.28}=\frac{5480}{0.28}[/tex]

[tex]P=19571.42857[/tex]

[tex]P\approx 19571.43[/tex]

Therefore, the principal amount (P) is approximately 19571.43.

Answer:

The transformation moves the graph of the function up 5 units

Step-by-step explanation:

If we have a function f(x) then the transformation

[tex]g (x) = f (x) + c[/tex]  vertically shifts the graph of f(x) c units

If [tex]c> 0[/tex] the graph moves c units up

If [tex]c <0[/tex] the graph moves c units down

In this case the main function is [tex]f (x) = x ^ 2[/tex]

and [tex]g (x) = f (x) + 5 = x ^ 2 +5[/tex]

Therefore the transformation moves the graph of the function up 5 units

ANSWER

[tex]y = {x}^{2} + 5[/tex]

EXPLANATION

The given function is

[tex]y = {x}^{2} + 5[/tex]

The base of this function is

[tex]f(x) = {x}^{2} [/tex]

The translation is of the form.

[tex]y = f(x) + k[/tex]

where k is a vertical translation k units up.

[tex]y = {x}^{2} + 5[/tex]

Therefore the translation is a shift up by 5 units.

Answer:

[tex]\dfrac{20}{7}\ \text{units}[/tex]

Step-by-step explanation:

Put the side length where x is, then do the arithmetic.

  P = 4x

  P = 4(5/7) = 20/7

The perimeter is 20/7 units.

Check the picture below.

[tex]\bf \stackrel{\textit{rate}}{\cfrac{~~\frac{2}{3}~~}{\frac{1}{2}}\cfrac{ft^2}{hr}}\implies \cfrac{2}{3}\cdot \cfrac{2}{1}\implies \cfrac{4}{3}\implies 1\frac{1}{3}\frac{ft^2}{hr}[/tex]

Answer:

Step-by-step explanation:

The point of a fraction is to express the size of something that has been divided into a number of parts equal to the denominator. For example, 1/3 represents the amount when 1 unit is divided into 3 parts.

Here, Julia has 108 that she wants to divide into x parts. The fraction 108/x will tell the size of each part.

__

When x=12, the fraction becomes 108/12 = 9/1 = 9. Each friend gets 9 sand dollars.

Answer:

: ) It be gud song.

Step-by-step explanation:

Answer:

Option D.  18.75 cm3

Step-by-step explanation:

we know that

The Boyle's law (Ideal gas law) states that Where temperature remains constant, the pressure is inversely proportional to volume.

so

[tex]P1 *V1 = P2 *V2[/tex]  

In this problem we have

P1=150 kPa

P2=200 kPa

V1=25 cm³

substitute and solve for V2

[tex](150)(25)= 200*V2[/tex]

[tex]V2=(150)(25)/200=18.75\ cm^{3}[/tex]    

Answer:

Option D.  18.75 cm3

Step-by-step explanation:

MARK ME PLS

Answer:

Random Sampling

Step-by-step explanation:

Random sampling is when people are chose at random from a population.

Population is the chits that have been put up on the dart board.

Blindly throwing darts to select 5 names is selecting randomly. In this case, there will be no bias involved in it as names are chosen blindly.

!!

Answer: Random sampling method.

Step-by-step explanation:

A random sampling is a sampling technique in which a researcher randomly picks participants for the sample such that the chances for each participants to get selected is equal.

Given : In a study, the sample is chosen by putting people's names on a dartboard, and blindly throwing darts to select 5 names.

Here , the probability to throw dart on any any name is equal because they throwing it blindly.

Thus, this sampling method is a random sampling method.

Answer:

I believe it is SSS

Step-by-step explanation:

because all the sides are exactly the same length

Answer:

-2

Step-by-step explanation:

-3x -2 = 2x +8

-2 = 5x +8 . . . . . . add 3x

-10 = 5x . . . . . . . . subtract 8

-2 = x . . . . . . . . . . divide by 5

Answer:

-2

Step-by-step explanation:

-3x-2=2x+8 subtract 2x to both sides

-5x-2=8 add 2 to both sides

-5x=10 divide by -5

answer is -2

Answer:

the middle set of points

Step-by-step explanation:

A translation < 3, - 4 > means add 3 to the x- coordinate and subtract 4 from the y- coordinate.

Under a reflection in the x- axis

a point (x, y ) → (x, - y )

Hence

X(0, - 2) → X'(0 + 3, - 2 - 4) → X'(3, - 6) → X''(3, 6)

Y(1, 4) → Y'(1 + 3, 4 - 4) → Y'(4, 0) → Y''(4, 0)

Z(5, 3) → Z' (5 + 3, 3 - 4) → Z'(8, - 1) → Z''(8, 1 )

Answer:

The fraction is 7/10 and the decimal is 0.7

Step-by-step explanation:

Each incriment represents 1/10, or 0.1.

Answer:

Decimal: 0.7

Fraction: Simplified - 7/10 ; Non-simplified: 70/100

Step-by-step explanation:

There are 9 dashes in-between 0 & 1, meaning that each dash signifies 0.1, and that you are adding 0.1 each time.

The dot is located 7 dashes away from 0. Multiply 7 with 0.1

7 x 0.1 = 0.7

0.7 is your decimal answer.

Change the decimal to a fraction. To do so, move the decimal point to the right two place values and put it over 100. Add 0's if needed.

0.7 = 70/100

As it does not specify you have to simplify, put 70/100. HOWEVER, if it says you have to simplify, simplify. Divide common factors from both the numerator & denominator:

(70/100)/(10/10) = 7/10

7/10 is your simplified fraction. 70/100 is your non-simplified fraction.

~

Answer: 6 pounds of apples

Step-by-step explanation:

See photo attached. (:

Answer:

D

Step-by-step explanation:

Don't be scared off by this problem. Just read the numbers.

Those A + = 264

Those RH- = 111

The total = 375

Total of everyone typed is 740

Probability = 375 / 740 = 0.50675

Probability = 0.507 to the nearest thousandth.

Answer:

C

Step-by-step explanation:

y=x is a line that has slope 1 meaning it go ups (increases) from left to right.

So that puts us at choice A or C.

Both A or C differ by the numerator for the other function.

We can find the x-intercept for A and C by setting the numerator equal to 0 and solving for x.

Let's do that:

A:  -x-10=0                           C.  -x+10=0

     -x=10                                    -x=-10

      x=-10                                    x=10

A says x-intercept -10

C says x-intercept 10

Your graph intercepts the x-axis at 10 so the answer is C.

Answer:

64 sq feet

Step-by-step explanation:

Given:

Rectangle Length = 10 feet

Rectangle Width = 6 feet

Triangle Base = 4 feet

Triangle Height = 2 feet

Area of rectangle = Length x Width = 10 x 6 = 60 sq feet

Area of triangle = [tex]\frac{1}{2}[/tex] x Base x Height = [tex]\frac{1}{2}[/tex] x 4 x 2 = 4 sq feet

Total area

= Area of Rectangle + Area of Triangle

= 60 + 4 = 64 sq feet

Answer:

64 ft^2

Step-by-step explanation:

The rectangular area is 10 ft by 6 ft, which comes to 60 ft².

The triangular area is A = (1/2)(base)(height) = (1/2)(4 ft)(2 ft) = 4 ft²  

The total area of tile will be 4 ft² + 60 ft², or 64 ft².

The best and most correct answer among the choices provided by the question is 3.) radius. Hope this helps :)

Answer:

3.radius.

Step-by-step explanation:

The area of a circle is the space enclosed by the circle.

The circumference is the total length of the circle when stretched.

The diameter is a line that divides the circle into 2 halves or semicircles.

The radius of a circle is the line drawn from the center of the circle to any part of the circumference or any point on the circle.

The right answer is 3.radius.

Answer:

257 ft

Step-by-step explanation:

You know based upon soh that sin=opp/hyp

So drawing a right triangle with a hypotenuse of 400 ft and an angle of 40° with the ground, you can see that sin40=x/400

Multiply both sides to find your x value or height which is 257.

Answer:

Two lines are shown intersecting on ordered pair 3, 7.

Step-by-step explanation:

The first of the two lines has a slope of -4 and a y-intercept of 19 (off the top of the graph). It will decrease 4 units for each 1 unit to the right.

The second of the two lines has a slope of +2 and a y-intercept of +1. It will increase 2 units for each 1 unit to the right.

These two lines must intersect in the first quadrant at a point with an x-value less than 5, eliminating the first and last two choices, leaving only the second choice you have listed here.

You would have to examine the graphs to see which has the lines with proper slope and intercept.

My graphing calculator's solution is attached.

two lines are shown intersecting on ordered pair 3, 7.

Answer:

C.

Step-by-step explanation:

[tex]\cos x+\sqrt{2}=-\cos x \\ 2\cos x = -\sqrt 2 \\ \cos x = -\dfrac{\sqrt 2}{2}\\ \\ \Rightarrow x = \pm \arccos\Big(-\dfrac{\sqrt 2}{2}\Big)+2k\pi,\quad x\in \mathbb{Z}\\ \Rightarrow x =\pm\dfrac{3\pi}{4}+2k\pi\\ \\ \\k = -1 \Rightarrow x < 0\\\\ k=0 \Rightarrow x<0 \quad \text{or}\quad \boxed{x = \dfrac{3\pi}{4}} \\ \\k = 1 \Rightarrow x=-\dfrac{3\pi}{4}+2\pi \Rightarrow \boxed{x= \dfrac{5\pi}{4}}\quad \text{or}\quad x > 2\pi[/tex]

Answer:

C

Step-by-step explanation:

Given

cos x + [tex]\sqrt{2}[/tex] = - cosx ( add cosx to both sides )

2cosx +[tex]\sqrt{2}[/tex] = 0 (subtract [tex]\sqrt{2}[/tex] from both sides )

2cosx = - [tex]\sqrt{2}[/tex] ( divide both sides by 2 )

cosx = - [tex]\frac{\sqrt{2} }{2}[/tex]

Since cosx < 0 then x is in the second/ third quadrant

x = [tex]cos^{-1}[/tex] ( [tex]\frac{\sqrt{2} }{2}[/tex] )

  = [tex]\frac{\pi }{4}[/tex] ← related acute angle

Hence

x = π - [tex]\frac{\pi }{4}[/tex] = [tex]\frac{3\pi }{4}[/tex] ← second quadrant

or

x = π + [tex]\frac{\pi }{4}[/tex] = [tex]\frac{5\pi }{4}[/tex] ← third quadrant

-----------------------------

The Answer is 7.88

-----------------------------

Answer:

The answer here would be 7.88

Hope this helps!

Answer:

b

Step-by-step explanation: