A cube had a volume of 1/512 cubic meter. What is the length of each side of the cube using the formula "volume=Length×Width×Hight." Please explain your thinking.​

Answer:

Step-by-step explanation:

ΔRTS and ΔQRS are similar. Therefore the sides are in proportion:

[tex]\dfrac{RS}{SQ}=\dfrac{ST}{RS}[/tex]

We have:

[tex]RS=x\\SQ=9+16=25\\ST=9\\RS=x[/tex]

Substitute:

[tex]\dfrac{x}{25}=\dfrac{9}{x}[/tex]               cross multiply

[tex]x^2=(25)(9)\\\\x^2=225\to x=\sqrt{225}\\\\x=15[/tex]

Answer:

Step-by-step explanation:

left and less

Answer:

6 inches of snow per day.

Step-by-step explanation:

6 1/2 days = 6.5 days

39/6.5=6

So your answer is 6 inches of snow per day.

To find the rate of snowfall in inches per day, divide the total inches of snow by the total number of days (39 inches / 6.5 days), resulting in a rate of 6 inches of snow per day.

The question asks about determining the rate of snowfall in inches per day given that it snowed 39 inches in 6½ days in Alaska. To find the rate, we divide the total inches of snow by the total number of days.

Rate = Total Inches of Snow / Days = 39 inches / 6.5 days

Therefore, the rate of snowfall is 6 inches per day. This calculation helps us understand how snowfall accumulates over time, providing insight into weather patterns and their effects on the environment and human activities.

Answer:

Step-by-step explanation:

Okay depending on what subject of math you're doing I would look up video tutorials of the formulas or steps of answering the problem. Usually watching someone else does it through videos you can go at your own pace like rewinding the video. Make a formula sheet and take notes on what they are doing.

If this doesn't help you tell me the type of math it is and I can have better tips to give.

Using the given equation, replace r with 5 and h with 30 and PI with 3.14:

SA = 2(3.14)(5)^2 + 2(3.14)(5)(30)

SA = 6.28(25) + 6.28(150)

SA = 157 + 942

SA = 1099 square inches.

Answer: I think that depends on how strong you are and how big the ball is. You certainly wouldn't able to throw it as far as a ball without sand.

The correct answer is:

C) 40°

Answer:

The answer is B (the indices are the same).

Answer:

The length is 72

Step-by-step explanation:

length x width = area

9 x length = 648

length = 72

To determine the length of a rectangle with a width of 9 inches and an area of 648 square inches, divide the area by the width. The calculation reveals that the length of the rectangle is 72 inches.

To find the length of the rectangle when the width is 9 inches and the area is 648 square inches, we use the formula for the area of a rectangle, which is Area = [tex]length imes[/tex]width. Given the area (648 square inches) and the width (9 inches), we can solve for the length by dividing the area by the width.

The calculation is as follows:
Length = Area / Width
Length = 648 square inches / 9 inches
Length = 72 inches

Therefore, the length of the rectangle is 72 inches.

Answer:

The commutative property

Step-by-step explanation:

7.6+3.9+2.4=

7.6+3.9= 11.5+ 2.4= 13.9.

If you added 2.4 and 3.9 first

3.9+2.4= 6.3+7.6=13.9.

It doesn't matter what order you add in, you'll get the same answer

Answer:

x=4

y=14

Step-by-step explanation:

1. Substitute y=x+10 into y=3x+2.

Start with the original equation.

y=3x+2

Let y=x+10.

x+10=3x+2

2. Solve for x in x+10=3x+2.

x=4

3. Substitute x=4 into y=x+10.

y=14

4. Therefore,

x=4

y=14

Answer:

Second Option

[tex]p = -6[/tex] and [tex]p = 12[/tex]

Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function [tex]f(x) = |x|[/tex]  x> 0 for all real numbers.

Then the equation:

[tex]|p-3| = 9[/tex] has two cases

[tex](p-3) = 9[/tex]    if [tex]h > 3[/tex]  (i)

[tex]-(p-3) = 9[/tex]    if [tex]h < 3[/tex] (ii)

We solve the case   (i)

[tex]p = 9 + 3\\p = 12[/tex]

We solve the case    (ii)

[tex]-p +3 = 9\\p = 3-9\\p = -6[/tex]

Then the solution is:

[tex]p = -6[/tex] or [tex]p = 12[/tex]

Let the number of chickens = c.

Let the number of pigs = p.

A chicken has 1 head and 2 legs.

c number of chickens have c heads and 2c legs.

A pig has 1 head and 4 legs.

p number of pigs have p heads and 4p legs.

There are 40 heads.

Equation for heads:

c + p = 40

There are 110 legs.

Equation for legs:

2c + 4p = 110

System of equations:

c + p = 40

2c + 4p = 110

Solve the first equation of the system of equations for c:

c = 40 - p

Substitute 40 - p for c in the second equation:

2c + 4p = 110

2(40 - p) + 4p = 110

80 - 2p + 4p = 110

80 + 2p = 110

2p = 30

p = 15

Now substitute p = 15 in the first equation to find c.

c + p = 40

c + 15 = 40

c = 25

There are 25 chickens and 15 pigs.

Answer:

Set B has the greater spread

Step-by-step explanation:

Set B has the greater spread because if you add them all up they you will get a number higher than Set A.

Hope this helped :)

Answer:

Set B has a greater spread , because it has a higher IQR

Step-by-step explanation:

One way to measure the spread of a data set is to break it into quarters and measure the interquartile range (IQR).

Set A: {38, 12, 23, 48, 55, 16, 18}

(a) Sort the numbers

(12, 16, 18, 23, 38, 48, 55}

(b) First quartile

The median of 12, 16, and18 is 16.

First quartile = 16

(c) Third quartile

The median of 38, 48, and 55 is 48.

Third quartile = 48

(d) IQR

IQR = 48 - 16  = 32

Set B: {44, 13, 24, 12, 56}

(a) Sort the numbers

(12, 13, 24, 44, 56}

(b) First quartile

The median of 12 and 13 is 12.5.

First quartile = 12.5

(c) Third quartile

The median of 44 and 56  is 50.

Third quartile = 50

(d) IQR

IQR = 50 - 12.5 = 37.5

Set B has the greater spread, because it has the higher IQR.

The Box plot below shows that Set B has the greater spread.

Answer:

The correct answer option is (21, 2).

Step-by-step explanation:

We are given the following two equations and we are to find the solution to this system of equations:

[tex]y=-\frac{1}{3} x+9[/tex] --- (1)

[tex]y=\frac{2}{3} x-12[/tex] --- (2)

Since the left hand side of the both the equation is equal so we can equate the right hand sides of these equations equal to each other.

[tex]-\frac{1}{3} x+9 = \frac{2}{3} x-12[/tex]

[tex]\frac{2}{3} x+\frac{1}{3} x = 9+12[/tex]

x = 21

Substituting this value of x in (2) to find y:

[tex]y=\frac{2}{3} (21) - 12[/tex]

y = 2

Answer:

The correct answer is first option (21, 2)

Step-by-step explanation:

The given two equations are,

y=-1/3x+9 and y=2/3x-12

To find the solution

Two equations are

y=-1/3x+9    -------(1)

y=2/3x-12    -------- (2)

(2) - (1) ⇒ 0 = 3/3x + (-12 - 9)

⇒0 = x - 21

x = 21

Substitute value of x in eq(1) we get,

y = -1/3 * 21 + 9 = -7 + 9 = 2

Therefore the solution is (21, 2)

The correct answer is first option

Answer: 2/3

Step-by-step explanation: 2/3 cup of sugar. you keep the 3 cups of flour the same, and put the 1 cup of sugar as a fraction like 3/3=1 cup. then just minus the 1 cup of flour from the top. 2/3 cups of sugar

Answer - 2/3

If the recipie Liam is using requires 3 cups of flour, and he only has 2, then he has 2/3 of the amount in the recipie. This means he would need to use the same proportions of sugar as flour - 2/3. Therefore he needs to use 2/3 x 1 of the amount in the recipie, which is two thirds (2/3) of a cup.

Answer:

C, A

Step-by-step explanation:

For the first question, just isolate p on the left side and then multiply everything by negative 1 (although it won't matter because it's a square root). Then just square root both sides for an answer of C.

For the second question, do the same thing, isolate the variable. Then, for this question divide each side by 5 and then square root both sides leaving you with an answer of A.

Answer:

r = 95

Step-by-step explanation:

log (r - 5) - 7 = -5 becomes log (r - 5) = 2.  You had that right.

Now raise the base 10 to the power 'log (r - 5)' and equate that to the base 10 to the power 2:

   log (r - 5)           2

10                  =  10

Then r - 5 = 100, and r = 100 - 5 = 95.   r = 95

Answer: $8,000

Step-by-step explanation: Frank’s weekly salary is calculated by the formula 400 + .15s. If he wants to earn $1,600 then it will be $1,600 = 400 + .15s.

In order to solve this you first subtract 400 from each side:

1,200 = .15s

Next, divide both sides by .15:

$8,000 = s

Frank will need to have $8,000 in sales in order to earn $1,600.

Final answer:

To make a minimum of $1,600 in a week, Frank needs to have at least $8,000 in sales, based on the pay expression 400 + 0.15s.

Explanation:

The expression 400 + 0.15s represents Frank's weekly pay as an appliance salesman, where s is his total sales for the week. Frank wishes to make at least $1,600 this week. To find out how much he will need in sales, we set up the inequality:

400 + 0.15s ≥ 1600

To solve for s, we will subtract 400 from both sides of the inequality:

0.15s ≥ 1200

Now, we divide both sides by 0.15 to solve for s:

s ≥ 1200 / 0.15

s ≥ 8000

Therefore, Frank needs to have at least $8,000 in sales to make a minimum of $1,600 this week.

Answer:

The length of T is [tex]4.2\ mi[/tex]

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional

so

[tex]\frac{T}{9}=\frac{7}{15}\\ \\ T=9*7/15\\ \\T=4.2\ mi[/tex]

Answer: The average drop is $8.80 per day.

Step-by-step explanation: Over the course of 8 days the stock fell by $72, and then $4 and $12 on the following two days. In order to determine the average over 10 days you need to add up the total drop for the time period and then divide by 10.

The formula to use:

(72 + 4 + 12) / 10=

88 / 10=

8.8=

$8.80

To find the time it takes for the rocket to reach its maximum height, we need to find the value of t when Vy = 0. By setting the derivative of h(t) equal to zero and solving for t, we find that it takes 3 seconds for the rocket to reach its maximum height.

The rocket reaches its maximum height when the vertical velocity switches from positive (upwards) to negative (downwards), which occurs when Vy = 0. To find the time it takes for the rocket to reach its maximum height, we need to find the value of t when Vy = 0. Considering that the given function is h(t) = -16t^2 + 96t + 180, we can determine the time it takes by setting the derivative of h(t) equal to zero and solving for t.

0 = -32t + 96

32t = 96

t = 3 seconds

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Find area of the semi circle.

The diameter is, half of that would be the radius, which is 3.

[tex]\frac{\pi \cdot 3^2}{2}[/tex] = 14.1

Find the area of the rectangle.

6 * 4 =24

Add the two areas together.

24 + 14.1 = 38.1

[tex]38.1in^2[/tex]

[tex]\huge\text{$n=\boxed{20}$}[/tex]

We need to isolate the variable on one side of the equation.

[tex]\begin{aligned}\frac{n-2}{-3}&=-6&&\smash{\Big|}&&\text{Write an equation.}\\n-2&=18&&\smash{\Big|}&&\text{Multiply both sides by $-3$}\\n&=\boxed{20}&&\smash{\Big|}&&\text{Add $2$ to both sides.}\end{aligned}[/tex]

If you had to pick a answer chose between a or c

I would pick C that’s the answer

Answer:

Between 1 and 6

Let's do this step by step quickly!

#1. Multiply both sides by 10.

[tex]\fbox{-14x10=t}[/tex]

#2. Simplify -14 x 10 to -140.

[tex]\fbox{-140 = t}[/tex]

#3. Switch sides.

[tex]\fbox{t = -140}[/tex]

Done, [tex]\fbox{t = -140}[/tex].

Here is your answer

-140

REASON:

[tex]-14=\frac{t}{10}[/tex]

Multiply both sides by 10

[tex]-14×10= \frac{t}{10}[/tex]×10

-140=t

So, t= -140

HOPE IT IS USEFUL

Check the picture below.

Answer:

6

Step-by-step explanation:

I'm 99% sure you know the answer to this and didn't have to resort to this website.

3-5 = -2

Subtracting negative numbers means it becomes positive.

So the gist is that your adding 4 and 2 which is 6.

Here is the factor (3x+5y)(3x-5y)

Answer:

(3x+5y)(3x−5y)

Step-by-step explanation:

The binomial can be factored using the difference of squares formula

a^2−b^2=(a+b)(a−b) where a=3x and b=5y