Answer:
The length of each side of the cube is [tex]\frac{1}{8}\ m[/tex]
Step-by-step explanation:
we know that
The volume of a cube is equal to
[tex]V=LWH[/tex]
but remember that in a cube
Length, width and height have the same value
so
Let
b-----> the length side of the cube
[tex]L=W=H=b[/tex]
substitute in the formula
[tex]V=(b)(b)(b)=b^{3}[/tex]
In this problem we have
[tex]V=\frac{1}{512}\ m^{3}[/tex]
substitute and solve for b
[tex]b^{3}=\frac{1}{512}[/tex]
[tex]b=\sqrt[3]{\frac{1}{512}}\\ \\b=\frac{1}{8}\ m[/tex]
therefore
The length of each side of the cube is [tex]\frac{1}{8}\ m[/tex]
This winter in Alaska it snowed 39 inches in 61/2 days what is the rate in inches of snow per day
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.
Explanation: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.
Quick math help please
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.
What is the solution to the system of equations below? y=-1/3x+9 and y=2/3x-12
(21,2)
(21,-10)
(-21,16)
(-21,-26)
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
Factor. 9x^2-25y^2 brainly please help
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
QUICK PLEASE solve for T
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
Which data set has a greater spread? Why? Set A: {38, 12, 23, 48, 55, 16, 18} Set B: {44, 13, 24, 12, 56} has a greater spread because .
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.
Find the surface area
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.
A rectangle has a width of 9 inches. The area of the rectangle is 648 square inches. What is the length, in inches, of the rectangle
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.
On a horizontal number line, -6 is located to the of -4. So, -6 is than -4.
Answer:
Step-by-step explanation:
left and less
HELP ASAP!! WILL MARK BRAINIST!!! ASAP!!
n - 2 divided by -3 = -6 what is the value of n?
[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]
Two lines, C and D, are represented by the equations given below:
Line C: y = x + 10
Line D: y = 3x + 2
Which of the following shows the solution to the system of equations and explains why?
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
4-(3-5)=
I need help
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.
a rocket is launched from 180 feet above the ground at time t=0. the function that models this situation is modeled by h(t)=-16x^2+96x+180, where t is measured in seconds and h is the height above the ground measured in feet. how long does it take the rocket to reach its maximum height
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.
Explanation: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
Learn more about Finding the time for a rocket to reach maximum height here:https://brainly.com/question/39282411
#SPJ12
What is the value of x?
Answer:
x = 15Step-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]
Help!!!! Plzzzzz!!!!
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=
$8.80
The expression 400+ 0.15s represents franks weekly pay as an appliance salesman where s is his total sales for the week if he wishes to make at least 1600$ this week how much will he need in sales
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.
How would I solve this? I have to find the length of T
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]
How you do this question?
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
okay so guys if am taking a test tomorrow for math is like really important what should I study and how should I study cause I really need to pass this test if I fail I repeat the year so can someone please give me tips on what and how to study.
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.
Liam is making chocolate chip cookies. The recipe calls for 1 cup of sugar for every 3 cups of flour. Liam only has 2 cups of flour. How much sugar should Liam use and explain why your answere is correct.
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.
If I had a ball and it was filled with sand how far could I throw it (random question)
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.
50 POINTS! Show All Work!
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.
Please help will give points!!!!
Answer:
Between 1 and 6
Which number line shows the solution set for |p-3| = 9
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]
Which of the following statement are true ?
If you had to pick a answer chose between a or c
I would pick C that’s the answer
What is the estimate of forgive 6in by 4in
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]
help ASAP plzzzzzzzzzzzzzzzzzzzzz!
Answer:
The answer is B (the indices are the same).
What is the answer to this math question?
The correct answer is:
C) 40°
Identify which property off addition could be used to solve the following problem. Solve the problem and justify how using the property makes the problem easier to solve.
7.6 + 3.9 + 2.4
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
What is the length of SU? Please show work!
Check the picture below.