Answer:
A.
Step-by-step explanation:
1.5 x 0.1 = 0.15
0.15 inches
Dont know if this is for sure right. Hope it is.
Find Mx, My, and (x, y) for the lamina of uniform density rho bounded by the graphs of the equations. y = x2/3, y = 0, x = 1
The required value for the lamina of uniform density [tex]\bar x\\[/tex] and [tex]\bar y[/tex] are written below,
[tex]\bar x = \dfrac{5}{8}\\[/tex]
[tex]\bar y = \dfrac{5}{14}[/tex]
Given that:
The density of lamina: ρThe graph for the lamina: [tex]y = x^{\frac{2}{3}}[/tex], y = 0, and x = 1Calculus's core idea of integration entails determining a function's integral. It is a reverse process of differentiation that enables us to compute cumulative numbers, find the area under a curve, solve differential equations, and more.
The function can be written as,
[tex]m = \rho\int_0^1x^{\frac{2}{3}}dx\\= \rho\left[\dfrac{x^{\frac{5}{3}}}{\frac{5}{3}}}\right]\\=\dfrac{3}{5}\rho[/tex]
The value of Mx can be calculated as,
[tex]M_x = \rho\int_0^1\dfrac{x^{\frac{2}{3}}}{2}}\times x^{\frac{2}{3}}dx\\=\dfrac{\rho}{2}\left[\dfrac{x^{(\frac{2}{7})}}{\frac{7}{3}}\right]_0^1\\=\dfrac{3}{14}\rho[/tex]
Calculate the value of My,
[tex]M_y =\rho \int_0^1 x\times x^{\frac{2}{3}}dx\\=\rho \left[\frac{x^\frac{8}{3}}{\dfrac{8}{3}}\right]\\=\dfrac{3}{8}{\rho[/tex]
The value of [tex]\bar x\\[/tex] will be calculated as,
[tex]\bar x = \dfrac{M_x }{m}\\=\dfrac{ \dfrac{3}{8}\rho}{\dfrac{3}{5}\rho}\\=\dfrac{5}{8}[/tex]
The value of [tex]\bar y\\[/tex] is calculated as,
[tex]\bar y= \dfrac{M_y }{m}\\=\dfrac{ \dfrac{3}{14}\rho}{\dfrac{3}{5}\rho}\\=\dfrac{5}{14}[/tex]
Therefore, the required values are [tex]\bar x = \dfrac{5}{8}\\[/tex] and [tex]\bar y = \dfrac{5}{14}[/tex].
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How many kilograms of potatoes will each person get if 5 people share 1/3 of a kilogram of potatoes equally?
Answer:
1/15 kg
Step-by-step explanation:
Divide by 5 can be written as multiply by 1/5
1/3 * 1/5 = 1/15
Someone plz help me with this I will mark you as brainlyest
PLS HELP!! According to the following diagram, which two options form a pair of opposite rays?
Ello there mate hows it going? I have done geometry and parlinguals along with alegbra! I am certified as a college professor and am willing to help ya!
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Pls help me I will pick brainliest
Answer:
What do you need help with?
Step-by-step explanation:
Answer:
??
Step-by-step explanation:
.
8s + 6 + 2s - 4 + 4s
Answer:
14s + 2
Step-by-step explanation:
add the s values up and you’ll get 14s (8s + 2s + 4s) and then add the regular ones and you’ll have 2 (6 + -4)
>_< I need some help pls,
Answer: 80 = 20 + 5v
Step-by-step explanation:
This equation allows you to find out how many visits would create an even rate for both gyms.
Please help me solve this, I will give you brainliest.
Answer:
5h+10=50
Step-by-step explanation:
5 7/12 + 4 6/12 = 9 13/12 = 1 1/12 what's the error analysis?
Answer:boo
Step-by-step explanation:booooo
Answer:
5 7/12 + 4 6/12 = 9 13/12 is correct but 9 13/12 is equal to 10 1/12 not 1 1/12 because 13/12 is 1 1/12 and you have to add 1 1/12 to 9. So the error analysis is simplifying 9 13/12 to 1 1/12.
Nate and his brother are saving money to buy a gaming system. The system they want cost $349. The store is having a sale and the system is 30% off. State sales tax 6%.
Answer:
258.96
Step-by-step explanation:
%30 = 0.3
%6 = 0.06
so..
349 - (349 × 0.3)
349 - 104.7
244.3
then do the tax which is %6 or 0.06
244.3 + (244.3 × 0.06)
244.3 + 14.66
258.96
Good Job! Pls Brailniest! it would mean a lot ;) !
Find the measure of an angle such that the sum of its supplement and four times its
complement is 13° less than twice the angle.
Show work
Answer:
Angle=79°
Step-by-step explanation:
Hope it helps!
4h + 3f + 3c + f + 2c + h + 2c pls help
Answer:
5h + 4f + 7c
Step-by-step explanation:
Combine like terms!
4h + h = 5h
3f + f = 4f
3c + 2c + 2c = 7c
And you can't put numbers together that have different variables.
The sum of two numbers is 49 and the difference between these two numbers is 9.
What are these two numbers?
Answer:
the answer is 39 and 14.
The solution is, the numbers are 20 and 29.
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
Here, we have,
given that,
The sum of two numbers is 49
and the difference between these two numbers is 9.
let, the numbers are x & y
so, we get,
according to question:
x+y = 49 ...1
x-y = 9 ....2
so, simplifying we get,
2x = 58
or, x = 29
so, we get,
y = 20
Hence, The solution is, the numbers are 20 and 29.
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a car traveled 23 miles in 15 minutes. how many miles per hour was it traveling?
Answer:
1.53333... mph
Step-by-step explanation:
Well, if you want to figure out the speed (miles per hour), all you need to do is divide the distance by the time. In this case, the distance is 23 miles, and the time is 15 minutes. 23/15= 1.53333...
Hope this helps!! Have an amazing day c:
The speed of the car with given distance and time is 92 miles per hour.
Given that, a car traveled 23 miles in 15 minutes.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
We know that, speed = Distance/Time
Here 15 minutes = 15/60
= 1/4 hours
Now, speed = 23 ÷ 1/4
= 23 ×4
= 92 miles per hour
Therefore, the speed of the car with given distance and time is 92 miles per hour.
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If a crew of loggers cleared 1
acre of lumber in 4 days, how
long will it take the same crew to
clear 5 acres of lumber?
Answer:
1 acre of lumber takes 4 days so we have to do acres times days here so 4 x 1 = 1 that's for the first day. For 5 acres we would do 5 x 4 = (20 Days) Hope this helped! :))
Step-by-step explanation: 5 times 4 = 20
Dean walked from the library to the mall. For the
first 12 minutes, he walked at a speed of 80
m/min, but then he slowed his speed to 68
m/min for next 7 minutes. If he was still 130 m
away from the mall, what was the distance
between the library and the mall?
Question 2
Explain the difference between the graphs y = x3 and y = 3(x – 4)3 + 7.
Answer:
The first graph , y=x³ is a cubic function graph and that of the second graph, y = 3(x – 4)3 + 7 is a linear graph.
Step-by-step explanation:
The graph of y=x³ is a cubic function graph where the x term has the highest power of x as 3. As attached in the first graph.
The second graph for y = 3(x – 4)3 + 7. is a linear graph that can be written as;
y=(3x-12)3 +7
y=9x-36 + 7
y=9x - 29
which is a linear graph with a slope of 9 and cuts the y-axis at -29 as shown in the second attached graph.
What is the value of the expression -7+-4
Answer:
-11
Step-by-step explanation:
This is the answer because:
1) First, multiply the negative sign with the positive sign.
Negative x Positive = Negative
Equation: -7 - 4
2) Now, multiply the negative sign with the negative sign.
Negative x Negative = Positive
Equation: 7 + 4 = 11
3) Finally, add the greater number's sign (-7) in front of the number.
-11
Hope this helps! :D
grrrrrr please help i’ll give u a cookie :)
im only in 6th grade
Step-by-step explanation:
A box contains three types of fruits:
apples, bananas, and pears. There are
20 pieces of fruit in all. Of these, 3 are
apples and 11 are bananas. What is the
ratio of pears to bananas?
А
6 3 11
B 11 26
C 3: 11
D
11: 3
Ο Α
o
D
Answer:
d
Step-by-step explanation:
If a Ferris wheel takes 45 seconds to make a complete rotation, how many rotations will it complete in 3 hours?
Answer:240 rotations
Step-by-step explanation: 1 rotation/45 seconds * 60 seconds / minute * 60 minutes / hour * 3 hours = 3600*3/45 = 240 rotations
How do i turn 80% 0f 86- i know the answer but i don't know how to do it
Can someone please teach me
We know that of refers to multiplication (from BODMAS)
% means per hundred, i.e., 1/100
So, 80% of 86 is:
(80/100) × 86
or (4/5) × 86
or 4 × 17.2
or 68.8
Hope you understand
Answer:
68.8
Step-by-step explanation:
Let x be 80% of 86.
To find 80% of 86
[tex] \frac{80}{100} = \frac{x}{86} [/tex]
[tex]80 \times 86 = 100x[/tex]
[tex]6880 = 100x[/tex]
[tex]68.8 = x[/tex]
Or you can simply do it as:
[tex]86 \times 80\%[/tex]
[tex]86 \times \frac{80}{100} [/tex]
[tex] \frac{86 \times 80}{100} [/tex]
[tex] \frac{6880}{100} [/tex]
[tex]68.8[/tex]
The last school year enrollment of Genoa Middle school was 465 students. This year the enrollment is 525.
Answer:
465 to 525
Step-by-step explanation:
60 difference
PLEASE HELP! I NEED ANSWERS! 8-11 FIND THE RELATIONSHIP
Answer:
8. complementary 9. linear pair 10. adjacent 11. vertical
Step-by-step explanation:
1. Refer to the equation 3x − 5y = 15. (a) Create a table of values for at least 4 points. Show your work on how you found the values for each coordinate pair, and validated the points were on the line. Work for Point 1 Work for Point 2 Work for Point 3 Work for Point 4
Answer:
We have the equation:
3x - 5y = 15
a) We want to create a table with at least 4 points.
To do this, first, let's write the equation as a function: We must isolate one of the variables. Let's isolate y.
5y = 3x - 15
y = (3/5)*x - 3.
Then we have a linear equation.
Now, we can input different values of x, and see what value takes y in each case, then in this way we can be sure that the points will be on the line.
x = 0.
y = (3/5)*0 - 3
y = -3
Then we have the point (0, -3).
x = 1.
y = (3/5)*1 - 3 = 3/5 - 15/5 = -12/5
y = -12/5
Then we have the point (1, -12/5)
x = 5
y = (3/5)*5 - 3 = 3 - 3 = 0
y = 0
then we have the point (5, 0)
x = 10
y = (3/5)*10 - 3 = 6 - 3 = 3
y = 3
Then we have the point (10, 3).
Now we can create the table
[tex]\left[\begin{array}{ccc}x&y\\0&-3\\1&-12/5\\5&0\\10&3\end{array}\right][/tex]
Below you can see a graph, where the blue dots are our 4 points, and the green line is the line that represents the equation.
Scarlett stopped at a campground along the Appalachian trail. The campground had a 1
2
acre area for tents, divided into 6 equal campsites. Scarlett picked one of the sections to pitch her tent.
Which expression would give you the size of Scarlett’s campsite? Check all that apply.
One-half divided by 6
StartFraction 6 Over 7 EndFraction divided by 6
6 divided by one-half
StartFraction 6 Over 12 EndFraction divided by 6
6 divided by StartFraction 3 Over 6 EndFraction
Answer:
1/2 divided by 6
6/12 divided by 6
Step-by-step explanation:
Answer:
a - d
Step-by-step explanation:
Please help!! Will give brainliest if correct!
If triangle RST is an equilateral triangle, find x and y.
A. x = 70, y = 35
B. x = 80, y = 40
C. x = 120, y = 30
D. x = 120, y = 40
Answer:
C.
Step-by-step explanation:
A push lawnmower is priced at $299.50. There is an 8% sales tax rate. What is the sales tax of the pusher lawnmower in dollars and cents?
Answer:
$323.46
hope this helped :)
What equation could be used to represent the verbal representation below?
Sanju wants to sell his artwork at a local fair. He has created 10 pieces of artwork and has spent $44 in creating them. He wants to make a profit of $300 at the fair. What is the price he needs to sell each piece to make that profit?
Answer:
10p=300+44
Step-by-step explanation:
Answer: 10x = 44 + 300.
Step-by-step explanation: The 10 pieces of artwork will be sold by an x amount of money, should equal the $300 profit plus the $44 expenses.
There are 16 boys and 20 girls in a class. What part of the class is boys? What part girls?
Answer:
girls 4/9 or (Decimal: 0.444444) percent is 44.4%
boys 5/9 or (Decimal: 0.555556) percent is 55.5%