Answer:
a. [tex]dV = 3x^2\ dx[/tex]
b. See Explanation
Step-by-step explanation:
Given
Shape: Cube
Solving (a); Formula that estimates the change in edge length
The volume (V) of a cube is:
[tex]V = x^3[/tex]
Where
[tex]x = edge\ length[/tex]
The change in volume is got by:
[tex]dV = \frac{d}{dx}(x^3)[/tex]
Differentiate [tex]x^3[/tex]
[tex]dV = 3x^2\ dx[/tex]
Where
[tex]dx = x_2 - x_1[/tex] i.e. change in x
Solving (b):
The initial and final edge lengths are not given.
In order to solve this question, I'll assume that x changes from 5cm to 5.01cm
So, we have:
[tex]x = x_1 = 5cm[/tex]
[tex]x_2 = 5.01cm[/tex]
Substitute these values in [tex]dV = 3x^2\ dx[/tex]
[tex]dV = 3 * (5cm)^2 * (5.01cm - 5cm)[/tex]
[tex]dV = 3 * (5cm)^2 * 0.01cm[/tex]
[tex]dV = 3 * 25cm^2 * 0.01cm[/tex]
[tex]dV = 075cm^3[/tex]
PLEASE HELP ME! I’m begging you please
Answer:
1. 456.75 4567.5
2. 0.98 0.098
3. 2.4
4. 12,300
5. 809.200
6. 0.13
7. 42,608
8. 18
9. 280
10. 23
11. 950
12. 0.26
13. 9,500
14. 6.4
15. 280 3.06 0.2
16. 0.086 8,620 3.624
what is the slope in the equations: y = 4x + 3
Answer:
4
Step-by-step explanation:
y = mx + b
m represents the slope, and as we can see in the equation, the number 4 is there instead of m, so therefore 4 is the slope
An antelope can run at a speed of 61 miles per hour. What is this speed in yards per second? Round to the nearest hundredth.
3 ft = 1 yd
Answer:
0.01
Step-by-step explanation:
there is a total of 3,600 seconds in an hour so then u just devide 61 miles by 3,600 and get 0.01694444, round that to the nearest hundreth and you get 0.01
please help please asap
Answer:
[tex]9\frac{3}{4} , 9.5 , 9 \frac{3}{8} , 9.175[/tex]
Step-by-step explanation:
11. What is diction? *
Answer:
Step-by-step explanation:
the choice and use of words and phrases in speech or writing.
Divide 5 liters in the ratio 11:5:9. Give your answer in milliters.
Answer: we have 2,200milliters, 1000milliters, 1800milliters.
Step-by-step explanation:
Step 1
1 Liter= 1000 millilitres
5 liters = 5000 millilitres
Step 2
Dividing 5000 ml in the ratio 11:5:9
First, we find the Total ratio = 11+5+9 = 25
Such that
First part = 11/25 x 5000 = 2,200milliters.
Second Part = 5/25 x 5000=1000milliters.
Third part =9/25 x 5000=1,800milliters.
what is 0.246 divide by 6
Answer:
I believe answer is 0.041
Answer:
The answer is 0.041Step-by-step explanation:
I hope it helps ❤❤❤It is the end of the semester, and the clubs at school are recording their profits. The Science Club started out with $20 and has increased its balance by an average of $10 per week. Write an equation in slope intercept form for the Science Club. It is the end of the semester, and the clubs at school are recording their profits. The Math Club has saved $5 per week after starting out with $50 at the beginning of the semester. Write an equation in slope intercept form for the Math Club. It is the end of the semester, and the clubs at school are recording their profits. Graph both lines from question 1 and 2 on the same coordinate plane. When do the clubs have the same balance?
Answer:
Science Club- y=10x+20
Math Club- y=5x+50
They will be equal 6 weeks
Step-by-step explanation:
X equals the number of weeks that have passed. In example of the science club, they would gain $10 every week, making the equation y (total money) equal to 10 dollars a week (or 10x.)
Since we know they begin with 20 dollars, we'll simply add that to the 10 dollars a week.
To find the week when they will be equal, we have to put both equations equal to each other.
10x+20=5x+50
Now we solve for x, or the number of weeks when the equations (and values) will be equal.
10x+20=5x+50
5x+20=50
5x=30
x=6
So... 6 weeks :)
You can use desmos to graph if you need it.
69 x 206
anyone wanna ch.at?
Answer:
14,214
Step-by-step explanation:
no
hope it helps!
Answer:sure y not?
Step-by-step explanation:
sin^2(a+b)-sin^2(a-b)=sin(2a)sin(2b)
Answer:
Step-by-step explanation:
To prove sin(a+b)*sin(a-b)=cos^2b-cos^2a
we simplify the left side sin(a+b)*sin(a-b) first
sin(a+b) = sin a cos b + cos a sin b
sin(a-b) = sin a cos b - cos a sin b
sin(a+b)*sin(a-b) = (sin a cos b + cos a sin b) x (sin a cos b -cos a sin b)
sin a cos b((sin a cos b + cos a sin b) - cos a sin b (sin a cos b + cos a sin b)
open the bracket
sin a cos b(sin a cos b) + sin a cos b(cos a sin b) -cos a sin b (sin a cos b)+ cos a sin b ( cos a sin b)
sin²a cos²b + sin a cos b cos a sin b - cos a sin b sin a cos b + cos²a sin²b
sin²a cos²b + 0 + cos²a sin²b
sin²a cos²b + cos²a sin²b
sin²a = 1-cos² a
sin²b = 1-cos² b
(1-cos² a)cos² b - cos² a(1-cos² b)
= cos² b - cos² a cos² b - cos² a +cos² a cos² b
choose like terms
cos² b - cos² a - cos² a cos² b + cos² a cos² b = cos² b - cos² a + 0
cos² b - cos² a
left hand side equals right hand side
Which breakfast would be best on the morning of a test?
O wafle with syrup and strawberries
O cereal with milk and a sweet roll
O yogurt, banana, and wheat toast
omelet, an orange, and a doughnut
The best breakfast that would be best on the morning of a test is cereal with milk and sweet roll. Hence, option B is correct
What is Breakfast?Breakfast is frequently referred to as "the most important meal of the day," and with good cause. Breakfast, as the name implies, breaks the overnight fast. Along with providing other crucial nutrients needed for optimal health, it replaces your glucose supply to increase your energy and alertness.
There is medical evidence that eating breakfast is beneficial. In addition to helping you control your weight better, reducing your risk of type 2 diabetes and heart disease in the long run, it also boosts your energy levels and concentration capacity in the near term.
To know more about Breakfast:
https://brainly.com/question/29496786
#SPJ6
HELP please guys!!!!!!!
Answer:
B
Step-by-step explanation:
Answer:
17 inches
Step-by-step explanation:
I believe this is right
Solve 4x + 3y = 2 for y.
Question 5 options:
A)
y = 4x – 2
B)
y = –4∕3x + 2∕3
C)
y = 4∕3x – 2∕3
D)
y = –4x + 2
Solve 5(2x – 3) = x – 15 + 9x for x.
Question 14 options:
A)
0
B)
Infinitely many solutions
C)
–18∕5
D)
–12∕5
Solve 5(2x – 3) = 5x – 10 for x.
Question 16 options:
A)
– 1
B)
1
C)
0
D)
2
Solve |5x – 1| = |2x + 5|
Question 18 options:
A)
x = 2 or x = –4∕7
B)
x = 1∕2
C)
No solutions
D)
x = –1∕2 or x = –7
Solve |7h + 1| = |3h – 7| for h.
Question 19 options:
A)
–2 or 2
B)
–2 or 3∕5
C)
2 or –3∕5
D)
–3∕2 or 3∕5
Answer:
2. A
4. D
Step-by-step explanation:
it might be right dont know good luck-_-||
what is the estimate of the product 11/12 x 4/5
Answer:
.7333333
Step-by-step explanation:
From a population of 200,000,000 elements, the standard deviation is known to be 14. A sample of 49 elements is selected. It is determined that the sample mean is 56. The standard error of the mean is
Answer:
The standard error of the mean = 2
Step-by-step explanation:
Given that:
The standard deviation σ = 14
The sample size n = 49
The sample mean [tex]\overline x[/tex] = 56
The formula for calculating the standard error can be expressed as:
[tex]S.E = \dfrac{\sigma}{\sqrt{n}}[/tex]
[tex]S.E = \dfrac{14}{\sqrt{49}}[/tex]
[tex]S.E = \dfrac{14}{7}[/tex]
S.E = 2
Therefore, the standard error of the mean = 2
what is the range of the function f (x)= -1/3 lx-1l-2?
Answer:
All real values less than or equal to -2 or (infinity, -2].
Step-by-step explanation:
The range of the function is the range of what the output can be. Let’s analyze the equation in parts.
Notice that |x-1| must always be greater than or equal to 0, so we know that 1/3|x-1| also must always be greater than or equal to 1/3*0 = 0.
With the negative, however, -1/3|x-1| must be less than or equal to -1/3*0 = 0.
Finally, we take the -2 into account. -1/3|x-1| - 2 must always be less than or equal to 0-2 = -2.
Therefore, the range is all real values less than or equal to -2, which can be written as (infinity, -2].
I hope this helps!
Help and show your work
Answer:
x=3
Step-by-step explanation:
First start by simplifying the right side which is -5(x-8)+4. Apply the distributive property to have -5x-5*-8+4. Then simplify to -5x+40+4, and then to -5x+44. Now you are left with 14+5x = -5x+44. Move -5x to the left side, which now makes it positive, and do 5x+5x to have 14+10x=44. Now move 14 to the right side and subtract it from 44 to get 10x=30. Now divide both sides by 10 to have x=3.
Answer:
x=-5
Step-by-step explanation:
14 + 5x = -5(x-8)+4
14+5x=-5x+40+4
14+5x=-5x+44
14+10x=44
10x=30
x=3
In the context of sampling plan, a comprehensive record of each individual in the population of interest is known as a ________.
Answer:
The correct answer is Census
Step-by-step explanation:
According to the given scenario, the record for each and every individual with respect to the population who has the interest is known as the census. The census means the information received for each and every population member
Therefore as per the given situation, the term that should be used is census
What does -4(3x-7) =
Answer:
-12x+28
Tell me if u need an explanation!
Hope this Helps!!!
The following data relates to the scores obtained by 9 salesmen of a company in an intelligence test and their weekly sales in thousands of Rs.
Salesmen:
A
B
C
D
E
F
G
H
I
Test score :
50
60
50
60
80
50
80
40
70
Weekly sales :
30
60
40
50
60
30
70
50
60
Obtain the regression equation of sales on test scores of the salesmen and estimate sales if the test score of a salesman is 65.
Answer:
y = 0.75x + 5 ;
53.75
Step-by-step explanation:
Giveb the data:
Test score :
50
60
50
60
80
50
80
40
70
Weekly sales :
30
60
40
50
60
30
70
50
60
The linear regression equation model obtained from the online regression equation is :
y = 0.75x + 5 ; where ;
y = weekly sales ; x = test score ; 0.75 = slope / gradient ; 5 = intercept
sales if the test score of a salesman is 65.
y = 0.75x + 5
x = 65
y = 0.75(65) + 5
y = 48.75 + 5
y = 53.75
12h = 132
h=
i need to know how to do that ^
Answer:
h=11
Step-by-step explanation:
divide:
132/12h
11h
Answer:
11
Step-by-step explanation:
You divide each side by 12 in order to isolate the h
So: 12h = 132
____ _____
12 12
h = 11
73% of 250 Question 4: What strategy would you use to find the percent? (Hint: "per" = division "cent" = 100) Per cent f 1 lod
Answer:
73% of 250 is 182.5
Step-by-step explanation:
Divide 73 by 100
73/100=.73
Multiply .73 by 250
.73*250=182.5
To pay for a camper bill made a down payment of 3900and took out a loan for the rest. On the loan he paid monthly payments of 427.20 for 4 years
Answer:okay!!!
Step-by-step explanation:what is asking about
If you start with a board that is 2 3/8" wide and you trim off (cut off) 1 1/4", how wide will your board be?
Answer:
1 1/8"
Step-by-step explanation:
First, make a common denominator.
1 1/4 = 5/4 * 2/2 = 10/8 = 1 2/8
2 3/8 and 1 2/8
Then, subtract.
2 - 1 = 1
3/8 - 2/8 = 1/8
1 1/8"
yx = -wvu
v =
Please help asap
Answer: v = yx/-w + u
Step-by-step explanation:
cancel -w by dividing and cancel u by dividing
⚠️A machine used 48% of its oil. What fraction of its oil did the machine
use?⚠️
Need answer ASAP please and thank you
Answer:
12/25
Step-by-step explanation:
48/100 simplifies to 24/50. 24/50 simplififes to 12/25.
I WILL GIVE BRAINLIEST
Answer:
B
Step-by-step explanation:
You multiply the exponents when you are doing an exponent of an exponent. 8 * 8 is 64. Therefore, the answer is B.
Answer:
[tex]=w^{64}[/tex]
Step-by-step explanation:
we know that,
[tex](a^n)^m = a^{mn}[/tex]
therefore,
[tex](w^8)^8 = w^{8*8}[/tex]
[tex]=w^{64}[/tex]
Happy to help :)
Nobody wants to answer my questions for brainliest
Do the boyz got me do?
what is the averageof 02.15 + 03.25 + 04.23 + 05.01 = 14.64? so what is the average of 14.64 basically.
Answer:
3.66
Step-by-step explanation:
You have four numbers which sum equals 14.64. Now you divide 14.64 by 4 to get 3.66, or the mean/average
d. One holding pen uses 500 feet of fence
wire and 100 feet of tie wire. A farmer
uses a combined length of 1,000 yards of
wire. What length of tie is wire was used?
HELP ME PLEASE!!!!!!
Answer:
1000 feet of tie wore is what he used
Step-by-step explanation:
simple