Find the volume of a box with a height that is 4 inches less than the
length and a width equal to the length. Let x represent the length of the
box. (Formula for volume of a rectangular prism:V equals L times W
times H where L is length, W is width, H is height of the rectangular
prism)

Answer: c).

Both options are true. You can see that the whiskers of data set 2 (The lines extending on either side of the box plots) represent a much larger range of data than data set 1, and that the median in data set 2 (the line down the middle of the boxes) is greater than data set 1.

Hope this helps!

Answer:

k = -2

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

3.2k - 4.3 = 12.6k + 14.5

Step 2: Subtract 3.2k on both sides

-4.3 = 9.4k + 14.5

Step 3: Subtract 14.5 on both sides

-18.8 = 9.4k

Step 4: Divide both sides by 9.4

k = -2

Answer:

You must drink  52 7/12 ounces or 52.58 ounces to reach the goal.

Step-by-step explanation:

Total amount of the water already drank is found by adding the fractions

So

3 1/10 ounces + 2 1/15 ounces + 6 5/20

Converting into improper fractions

31/10 + 31/15+ 125/20

Now finding the lcm of 10,15,20

so  Factors of 10 = 2 x 5

Factors of 15 = 5 x 3

Factors of 20 = 2 x2 x5

LCM= 5x2x2x3= 60

31*6/60 + 31*4/60 + 125*3/60

= 186+124+375/60

= 685/60 = 11.42 ounces

The amount of water already drank is 11.42 ounces

The amount remaining is found by subtracting the amount drank from the total amount

so

64 ounces - 11.42= 52.58

It can be solved in fractions as

64- 11 5/12

Again taking making improper fraction and taking lcm

64- 137/12

= 768-137/12 = 631/12= 52 7/12 ounces

Answer:

49

Step-by-step explanation:

(-7)² = (-7)(-7) = 49

Answer:

0.08(50h)

Step-by-step explanation:

The amount of tax payable over a particular object or goods is always represented as a particular percentage of the total cost of buying or repairing an object.

From the above question we are given the expression,

0.08(50h) + 50h = Total amount Deborah is paying to repair her computer

Note that: Total amount payable by Deborah = Cost (Price or amount) of fixing the computer + Tax

h = number of hours required to repair the computer.

Hence, the Cost (amount) to repair the computer = 50 × h = 50h

In the expression, we have

0.08(50h) = 8% of 50h

Tax is always represented as percentage of the cost of fixing the computer

Hence, 0.08 or 8% of 50 h equal to = 0.08(50h) = The tax Deborah is paying.

Therefore, the expression repesents the amount of tax Deborah has to pay is 0.08(50h)

Find the number in the tenth place  1  and look one place to the right for the rounding digit  9 . Round up if this number is greater than or equal to  5  and round down if it is less than  5 .

5.2

2 hours 45 minutes

12h30m - 9h45m =

= (12×60m + 30m) - (9×60m + 45m)

= 750m - 585m

= 165 minutes

= 120m + 45m

= 2 hours 45 minutes

Answer:

30.25 pi

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

11 pi = 2 * pi *r

divide each side by 2 pi

11/2 = 2 ( pi) * r/ ( 2pi)

11/2 = r

We can find the area by

A =  pi * r^2

   =  pi ( 11/2) ^2

   =  pi ( 121/4)

   = pi ( 121/4)

   = 30.25 pi

Answer:

[tex]\Huge \boxed{30.25 \pi}[/tex]

Step-by-step explanation:

The circumference of a circle formula is:

[tex]C= \pi d[/tex]

The circumference is given, solve for d.

[tex]11\pi=\pi d[/tex]

Cancel [tex]\pi[/tex] from both sides.

[tex]11=d[/tex]

The radius is half the measure of the diameter.

[tex]\displaystyle r=\frac{11}{2} =5.5[/tex]

The area of a circle formula is:

[tex]A=\pi r^2[/tex]

Let r = 5.5, solve for the area.

[tex]A=\pi (5.5)^2[/tex]

[tex]A=\pi (30.25)=30.25\pi[/tex]

Answer:

A square root of a number is a value that, when multiplied by itself, gives the number.

Example: 4 × 4 = 16, so a square root of 16 is 4.

The symbol for a square root is √ which always means the positive square root.

Example: √36 = 6 (because 6 x 6 = 36)

Answer:

How to graph y=√5 -x is shown in attachment

Step-by-step explanation:

Answer:

  see attached

Step-by-step explanation:

As with any sort of graphing problem, pick values of x and compute the corresponding value of y. Then plot those (x, y) points.

For something like this, it is convenient to choose y and then compute the value of x that goes with it.

 y = 0 = √(5 -x)   ⇒   x = 5 -0² = 5

  y = 1 = √(5 -x)   ⇒   x = 5 -1² = 4

  y = 2 = √(5 -x)   ⇒   x = 5 -2² = 1

  y = 3 = √(5 -x)   ⇒   x = 5 -3² = -4

Once you have plotted the points, draw a smooth curve through them.

height of building A = 64 meters

height of building B = 87 meters

=====================================================

Explanation:

Refer to the diagram below.

I have added points A,B,C,D to help find the heights needed.

Focus on triangle BAC. This is a right triangle with 58 degrees as one of the known acute angles (angle BAC = 58). Also known is the adjacent side AB = 40. The unknown side we're after is side BC

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

tan(angle) = opposite/adjacent

tan(angle BAC) = BC/AB

tan(58) = BC/40

40*tan(58) = BC

BC = 40*tan(58)

BC = 64.013381161642

BC = 64 meters approximately

This is the approximate height of building A

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

Now focus on triangle DAB

This is another right triangle. The acute angle is now 30 degrees as this is the angle of elevation.

tan(angle) = opposite/adjacent

tan(angle DAB) = DB/AB

tan(30) = DB/40

40*tan(30) = DB

DB = 40*tan(30)

DB = 23.094010767585

DB = 23 meters approximately

Add this onto BC to get

DC = DB+BC

DC = 64+23

DC = 87

Building B has a height of roughly 87 meters

--------

note: a more accurate value would be

DC = DB+BC

DC = 40*tan(30) + 40*tan(58)

DC = 87.107391929227

but when we round this to the nearest meter, we still get DB = 87

Answer:

0.8208 ; 0.8448

Step-by-step explanation:

Given the following :

Number of tosses = 4

Probability of head on any toss :

P(head) = 0.4

Therefore ;

(1 - p(head)) = (1 - 0.4) = 0.6

Binomial probability :

P(X) = nCx * P^x * (1 - P) ^(n-x)

Where:

n = number of trials ; x = number of success ; P = probability of success.

P(X≤2) = P(0) + P(1) + p(2)

using binomial probability calculator to ensure faster computation:

P(X≤2) = 0.1296 + 0.3456 + 0. 3456

= 0.8208

B)

P(1 ≤ X ≤ 3) = P(1) + P(2) + P(3)

P(1 ≤ X ≤ 3) = 0.3456 + 0.3456 + 0.1536

= 0.8448

Answer:

TT→T

Step-by-step explanation:

6 + 3 = 9

4 • 4 = 16

TT→T both equation are true

Answer:

f(2) = 16

or

y = 16

Step-by-step explanation:

Step 1: Write out function

y = 6x + 4

Step 2: Define variable for problem

x = 2

Step 3: Plug into function f(x)

f(2) = 6(2) + 4

f(2) = 12 + 4

f(2) = 16

Step 4: Change f(2) to y

y = 16

Answer:

K(3, 5)

Step-by-step explanation:

let K(x, y)

then x + 7 = 5*2 and y + 7 = 6*2 by the midpoint theorem.

solving, x = 3, y = 5

Answer:

40 km/h

Step-by-step explanation:

s = ut where s - Distance

u - Speed

t - Time

when t = 10 min

= 10/60 hours

S1 = 30 * 10/60

= 5km

when t= 20 min

= 20/60 hours

S2 = 45 *20/60

= 15 km

Then total distance = S1 + S2

= 5 + 15

= 20 km

Total time period = (10 + 20 ) / 60 hours

= 1/2 hours

Then average speed = U

S = UT

U = S/ T

= 20/ 0.5 km/ h

= 40 km/ h

Answer:

Hi there!

Step-by-step explanation:

In my opinion, the answer should be 1 (and maybe 4)

We can tell 1)has no width is the answer because the lines the one dimensional.

So the answer has to be number 1.

And...

Number 4 might also be correct because that would be a line segment (which goes on in both directions)

********************************************

So your answer should be letter 1 (also it might be letter 4 too, but I am not that sure)

Hope this helps!

~Have a great day!~

If you have any questions feel free to ask! :)

Answer:

As the number of files increases, the storage space used increases.

Answer:D

Step-by-step explanation:

Answer:

Step-by-step explanation:

finding the first term by putting n=1

t(1)=4.[tex](1)^{2}[/tex] +2 = 4.1 +2 = 4+2 = 6

finding the second term by putting n=2

t(2)=4.[tex](2)^{2}[/tex] +2 = 4.4 +2 = 16+2 = 18

finding the third term by putting n=3

t(3)=4.[tex](3)^{2}[/tex] +2 = 4.9 +2 = 36+2 = 38

hence first three terms are:

               6,18,38,......,4[tex]n^{2}[/tex] +2

Answer:

Future Value = $405,151.38

----------

FV = PV * (1 + R) ^ N

FV = $209,350 (1.045) ^ 15 = $405,151.38

----------

PV = $209,350

R = 4.5%

N = 15 years

Step-by-step explanation:

Answer:

see below (I hope this helps!)

Step-by-step explanation:

The x seems to represent the number of months that Leslie has joined the gym for. When x = 0 (basically when she hasn't started using her membership), she pays 55(0) + 50 = $50 so we know that the 50 represents the one-time fee. The only thing missing is the monthly fee and since we haven't defined what the 55 means, we can conclude that the 55 represents the monthly fee. This makes sense because 55x is simply 55 times x, and since x is the number of months, 55 times that would be how much Leslie pays per month, otherwise known as the monthly fee.

Answer 55.1

Yeah boyyy

Answer:

1.8 hours.

Step-by-step explanation:

It is important to note that:

Speed = Distance ÷ Time

We have two trains.

Step 1

We have to find the distance that each train travelled.

Since Speed = Distance ÷ Time

Distance = Speed × Time

First train

It travels at 105 miles per hour

Distance travelled by first train =

105 × x hours

= 105x miles

Second Train

It travels at 85 miles per hour

Distance travelled by the second train = 85 miles × x hours

= 85x miles

We are told that: the two trains leave stations 342 miles apart at the same time and travel toward each other

Hence, the time it would take each train to meet each other is calculated as:

105x + 85x = 342 miles

190x = 342 miles

x = 342/190

x = 1.8 hours.

Answer:

A

Step-by-step explanation:

true true true true true true

Answer:

False

Step-by-step explanation:

In order to tell if an inverse is a function, you have to do the horizontal line test. Create an imaginary line going horizontally on the map and if the graphed function goes through more than one line, then the inverse won't be a function. There can only be one point going through the imaginary line. Does that make sense?

Answer:

P(spades) = 7/10

Step-by-step explanation:

there are 10 different cards that can be picked, out of which what we want to pick is spades which are 7. and so there are 7 chances that we will get to pick spades out of all the 10 possibilities. hope it is easy to understand

Answer:

It can always be written as a fraction.

Step-by-step explanation:

The importance of this question is to differentiate rational and irrational numbers.

Rational numbers can be written as a ratio, hence a fraction, or a repeating or terminating decimal.

Irrational numbers cannot be written as a ratio and will not have a terminating or repeating decimal.

So the first statement is true since the sum of two rational numbers will be rational.

The second statement is false since the sum of two rational numbers can absolutely be represented by a fractional ratio.

The third statement is false since the sum of two rational numbers is not always a repeating decimal.

The fourth statement is false since the sum of two rational numbers could be written as a terminating decimal.

Cheers.

I agree with the other person's response. The sum is always rational (it can always be written as a fraction of integers)

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

Here's a proof:

Let x and y be two rational numbers. This means

x = a/b

y = c/d

where a,b,c,d are integers. The denominators b and d cannot be 0.

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

Let's add x and y, then simplify

x+y = (a/b) + (c/d)

x+y = (ad/bd) + (bc/bd)

x+y = (ad+bc)/(bd)

This last expression is in the form p/q

p = ad+bc is an integer

q = bd is also an integer

we have a ratio or fraction of integers, therefore x+y is also rational

Answer:

20

Step-by-step explanation:

8*50=400 /4*5=20

400/20=20

Answer:  -20

Step-by-step explanation:

-8 by 50   ÷   4 by 5

-8 × 50     ÷    4 × 5

[tex]\dfrac{-8\times 50}{4\times 5}\\\\\\=\dfrac{-2\times 10}{1\times 1}\\\\\\=\large\boxed{-20}[/tex]

hope you understand..................................................................

Step-by-step explanation:

In the plane geometry Abeka, second edition, it is given :

Principle 2 states that between any two points, only one straight line can be drawn.

And according to principle 3 two straight lines interacts at one point only.

Thus this can be well illustrated by two straight lines which are represented by the streets of a city and these two streets intersects at a point.

Answer:

x^1/4

Step-by-step explanation:

[tex]\frac{x^{\frac{1}{2}}}{x^{\frac{1}{4}}}\\\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\\\frac{x^{\frac{1}{2}}}{x^{\frac{1}{4}}}=x^{\frac{1}{2}-\frac{1}{4}}\\\\\mathrm{Simplify}\:x^{\frac{1}{2}-\frac{1}{4}}:\\\\\quad x^{\frac{1}{4}}[/tex]

Answer:

z = -1

Step-by-step explanation:

0 = 8z + 8

-8 = 8z

-8/8 = z

z = -1

check:

0 = 8*-1  +  8

0 = -8 + 8