The cross-sectional area of the shaft is 314 mm²
The outside diameter (d₂) = 6 cm = 60 mm
The inside diameter (d₁) = 4 cm = 40 mm
The cross sectional area of the shaft (A) is given by:
A = π(d₂ - d₁)²/4
Substituting values:
A = π(60 - 40)²/4
Simplifying the equation:
A = 314 mm²
The cross-sectional area of the shaft is 314 mm²
Find out more at: https://brainly.com/question/23745017
Juan wants to start a lemonade stand to earn money. He needs money to purchase the materials before he can sell the lemonade and earn money. His mother agrees to loan him $10. He makes a list of the items he wants to buy
Answer:
a. $13
b. $3
Step-by-step explanation:
Juan wants to start a lemonade stand to earn money. He needs money to purchase the materials before he can sell the lemonade and earn money. His mother agrees to loan him $10. He makes a list of the items he wants to buy.
Cups $2
Lemons $8
Sugar $3
a. How much money do the supplies cost?
b. How much money does he have to spend?
a. Cost of each supply;
Cups $2
Lemons $8
Sugar $3
Total cost of the supplies = $2 + $8 + $3
= $13
b. How much money does he have to spend?
His mother agreed to loan him $10
Total cost of supplies = $13
Amount of money he has to spend = Total cost of supplies - Loan from his mother
= $13 - $10
= $3
Answer:
How much money do the supplies? Answer: $13
How much money does he have to spend? Answer: $10
Step-by-step explanation:
I did it on edge 2021 & got it correct!
Hopefully this helps :)
bye <3
A music club charges an annual membership of $35.65 plus $12.99 for each CD purchased. If Naomi's total bill for the year was 178.54, how many CDs did she purchase.
Answer:
Step-by-step explanation:
178.54-35.65=142.89
then you do 142.89/12.99=11
She bought 11 CDs
What is the solution for x in the equation?
-x + 3/7 = 2x - 25/7
A. x = -3/4
B. x = -4/3
C. x = 4/3
D. x = 3/4
Answer:
C. x=4/3
Step-by-step explanation:
Answer:
4/3
Step-by-step explanation:
I got it right on the test
PLEASE HELP DON’T ANSWER IF YOU DON’T KNOW!! Mr. Sanchez drives 120 miles in 3 hours. At the same rate, how far will he drive
in 5 hours?
Answer:
200 miles
Step-by-step explanation:
First have to find how many miles he drives in 1 hour. So, we divide 120 miles by 3 hours, since we assume that he managed to drive an equal amount in each hour.
120/3=40
This shows that Mr. Sanchez drove at a rate of 40 mph.
But, this isn't the answer. 40 miles is the distance for one hour of driving. To find the distance for 5 hours, we have to multiply the distance by 5 as well.
40 times 5=200
O 200 miles
Explination~first you start by dividing 120 by 3 to find out how many miles he drives in one hour120 ÷ 3
=
40
Then you would time 40 by 5 to get how many miles he can drive in 5 hours40 × 5
=
200
------------------------------------------------------------------------Hope I helped!!
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
the last one [d)]
Step-by-step explanation:
First, we need to use the triangle inequality theorem. The sum of the lengths of the two sides must be greater than the third side.
a) 7+14=21=21 (this cannot represent a triangle)
b) 13+23=36<37 (this cannot represent a triangle)
c) 7+18=25=25 (this cannot represent a triangle)
d) 11+24=35>32 (this can represent a triangle)
d) is the answer
Hope this helps!
Any help? Explanation would help massively too! Work out the length of AB
Answer:
Exact length = 2*sqrt(137) cm
Approximate length = 23.409 cm
====================================================
Work Shown:
Use the Pythagorean theorem
a^2 + b^2 = c^2
8^2 + 22^2 = c^2
64 + 484 = c^2
548 = c^2
c^2 = 548
c = sqrt(548)
c = sqrt(4*137)
c = sqrt(4)*sqrt(137) ..... use the rule sqrt(x*y) = sqrt(x)*sqrt(y)
c = 2*sqrt(137) .... this is the exact length
c = 23.4093998214392 ... use your calculator to find the approximate length
c = 23.409
I rounded to three decimal places, but feel free to round however you want. Or be sure to follow any rounding instructions your teacher provides.
Hometown Cable has the 'Triple Play' package. It offers a land line. Internet service, and cable TV for one fixed price. If you already subscribe to their cell phone service, they offer and additional 12% off the price of the 'Triple Play' package. If the DISCOUNTED price of the 'Triple Play' package is $132, what is the price of the package WITHOUT the discount? (Hint: What % of the original price is the discounted price?)
Answer:
the price of the package without the discount is $150
Step-by-step explanation:
The computation of the price of the package without the discount is shown below:
Let us assume the price without discount be x
So after discount it would be x - 0.12x = 0.88x
Now the equation would be
0.88x = $132
x = $132 ÷ 0.88
= $150
hence, the price of the package without the discount is $150
We simply applied the above formula so that the correct value could come
And, the same is to be considered
Each of the 90 fourth-grade students at North Elementary read 30 books over the school year.
How many books did they read all together?
Answer:
2700
Step-by-step explanation:
What is 100 ÷ 4, rounded to the nearest hundredth?
Answer: 0
Step-by-step explanation:
100/4 = 25 because 25x4=100 then 25 is rounded down to 0 because it’s below 50. If it was 60 we would round it up to 100
A mapscale says: 2 inches equals 25 miles. How many miles does 6 inches represent??
Between which two numbers is V35 ?
3&5
3&4
4&5
5&6
6&7
17&18
Answer:
between 5 and 6
Step-by-step explanation:
You mean the square root of 35? You can get that by pressing the omega symbol at the bottom of the editor. Ω It's the √ the third one on the top row.
Anyway that does nothing to add to your question.
√35 is very nearly √36 which is 6
√35 is between 5 and 6. (Choice 4 down).
simplify
7^8 x 7^3 x 7^4
---------------------
7^9 x 7^5
Step-by-step explanation:
According to the power law of indices, when base numbers are the same and multiplying,add their exponents but when base numbers are the same and dividing, subtract their exponents.
Applying the above rule to the numerators,we have 7^(8+3+4)=7^15
Applying to the denominators we have,
7^(9+5)=7^14
Now we have 7^15/7^14=7
PLEASE HELPPPPP ME
What are the slope and y-intercept of the line?
A. The slope is approximately 3 and the y-intercept is 2.
B. The slope is approximately 1.33 and the y-intercept is 2.
C. The slope is approximately 2 and the y-intercept is 3.
D.The slope is approximately 2 and the y-intercept is 1.33.
Answer:
B.The slope is approximately 1.33 and the y-intercept is 2.
Step-by-step explanation:
On the graph we are going based off where the line starts and in this case it starts on the y line and that shows our y-intercept is 2. The line also doesn't have a rate of change that is directly being put onto an intersecting point like (2,2) which would make it a decimal 1.33.
Answer:
B. The slope is approximately 1.33 and the y-intercept is 2.
Step-by-step explanation:
We can eliminate answers C and D because the y-intercept is 2.
The slop is approximately 1.33 because if we go over 1 unit, we must go up approximately 1.33 units to follow the line.
*
What is the circumference?
16 in
Answer:50.27
Step-by-step explanation:
look at the picture I really need help understanding!
Answer:
I believe it is
1) yes
2) no
3) no
4)no
Step-by-step explanation:
It can only be a solution if you put the x in from the table into the x of the equation and the y in from the same ordered pair into the equation for y and if you get 1 for the fist equation it is a solution but you also have to get 7 for the second equation for it to fully be a solution. Also, you can go to desmos and enter the equations and then substitute the x's and y's... you will have to delete the =1 and =7 in order for the website to tell you what it equals.
Customers at an ice-cream shop took a survey. The results showed that 144 customers rated the shop as being “very satisfactory.” This number represented 45% of the total number of customers who took the survey. What was the total number of customers who took the survey?
Answer:
320 Customers took the survey
Step-by-step explanation:
Answer:
Step-by-step explanation:
144 is 45% of the total customers who took the survey.
Total customers who took survey= 144 × 100/45 = 320
HELP!!! ASAP!!! WILL MARK BRANLIST!!!!!
Answer:
It's me again!!
It's A or the one u clicked on
Step-by-step explanation:
because (2^3)-5 eqeuals 1/32768
and 1/2^15 equals to 1/32768
help me and ill give you like and brainliest
Answer:constrictive intergers
Step-by-step explanation:
Answer:
[tex]140,141,142,143[/tex]
Step-by-step explanation:
[tex]Let \: x \: be \: the \: lowest \: number .\\ We \: have \: an \: equation:x + (x + 1) + (x + 2) + (x + 3) = 566 \\ \Leftrightarrow 4x + 6 = 566 \\ \Leftrightarrow 4x = 560 \\ \Leftrightarrow x = 140 \\ \Rightarrow 4 \: consecutive \: numbers:140,141,142,143[/tex]
A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 28, 29, 40, 41, 28, 34. Use a 0.10 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die
Solution :
The objective of the study is to test the claim that the loaded die behaves at a different way than a fair die.
Null hypothesis, [tex]$H_0:p_1=p_1=p_3=p_4=p_5=p_6=\frac{1}{6}$[/tex]
That is the loaded die behaves as a fair die.
Alternative hypothesis, [tex]$H_a$[/tex] : loaded die behave differently than the fair die.
Number of attempts , n = 200
Expected frequency, [tex]$E_i=np_i$[/tex]
[tex]$=200 \times \frac{1}{6} = 33.333$[/tex]
Test statistics, [tex]$x^2= \sum^6_{i=1} \frac{(O_i-E_i)^2}{E_i} $[/tex]
[tex]$=\frac{(28-33.333)^2}{33.333}+\frac{(29-33.333)^2}{33.333}+\frac{(40-33.333)^2}{33.333}+\frac{(41-33.333)^2}{33.333}+\frac{(28-33.333)^2}{33.333}+$[/tex][tex]$\frac{(34-33.333)^2}{33.333}$[/tex]
≈ 5.8
Degrees of freedom, df = n - 1
= 6 - 1
= 5
Level of significance, α = 0.10
At α = 0.10 with df = 5, the critical value from the chi square table
[tex]$x^2_{\alpha}= \text{chi inv}(0.10,5)$[/tex]
= 9.236
Thus the critical value is [tex]$x_{\alpha}^2=9.236$[/tex]
[tex]$P \text{ value} = P[x^2_{df} \geq x^2]$[/tex]
[tex]$=P[x^2_5\geq 5.80]$[/tex]
= chi dist (5.80, 5)
= 0.3262
Decision : The value of test statistics 5.80 is not greater than the critical value 9.236, thus fail to reject [tex]$H_o$[/tex] at 10% LOS.
Conclusion : There is no enough evidence to support the claim that the loaded die behave in a different than a fair die.
which number is the smallest
a. 1.28x10-^4
b.2.85x10-^6
c.3.24x10-^5
d.5.48x10-^8
Answer: I think so A because it being multiple by 10 and u can get 6
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
because it has the smallest power
Which of the following gives all of the sets that contain sqrt9?
A. the set of all irrational numbers
B. the set of all natural numbers, the set of all whole numbers, and the set of all integers
C. the set of all integers, the set of all rational numbers, and the set of all real numbers
D. the set of all natural numbers, the set of all whole numbers, the set of all integers, the set of all rational numbers, and the set of all real numbers
Answer: C the set of all integers, the set of all rational numbers, and the set of all real numbers
Step-by-step explanation: The value of square root of 9 is ±3. This means that there two answers to square root of 9: 3 and -3.
As far as 3 is concerned, it is one of the elements of the natural number set. It is already known that natural numbers are also whole numbers, also integers, also rational numbers, and also real numbers.
As far as -3 is concerned, it is not a natural number since the set of natural numbers does not contain negative numbers. -3 is an integer. Which means that -3 is also a rational number and also a real number.
After identifying the common sets and taking the intersection of both the above classifications, it yields the set of all integers, the set of all rational numbers, and the set of all real numbers
Hopes this helps bro
PLEASE HELP ME FASTT Lily likes to collect records. Last year she had 15 records in her collection. Now she has 18 records.
What is the percent increase of her collection?
Answer: it’s a 16.667% increase
Step-by-step explanation:
Because you increased from 15 to 18 which is 3 over a total of 18 now.
3/18=1/6=16.667%
Answer:
20%
Step-by-step explanation:
.15 is 1 percent of 15. .15 x 20 = 3. 15 + 3 = 18 PLS MARK ME BRAINLIEST
what is 9+10+10000000000000000+2000000000000000000+99999999999999999999999999999999999999999999
Answer:
1e+44
Step-by-step explanation:
Answer:
1e+44
Step-by-step explanation:
To change the 0.32 into percentage, I need to
Move to dot to the right once
Move to dot to the left twice
Move to dot to the left once
Move to dot to the right twice
Determine if the following equations are linear or non linear.
1. x4 + x = 14
2. 5.3x + y = 42
PLEASE HELP ASAP THIS IS DUE IN 4 HOURS
Answer:
1)x⁴+x=14 (non linear)
2)5.3x+y=42 (linear)
Step-by-step explanation:
1)as it has only one variable
2)as it has more than one variable
The price of an item has been reduced by 10%. The original price was $46. Find the price of the item now.
41.4
Step-by-step explanation:
Hope this helps ∞<3
let me know if its right or wrong
SOMEONE HELP ILL KISS U WHAT ARE THESE TWO??????
Answer:
i can't see the pic can u re upload it?
Step-by-step explanation:
Answer:
i dont know the answer but i did find a link to help u
Step-by-step explanation:
https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-negatives/v/adding-negative-numbers
Please help me this is the only one I got stuck on
sorry dude I'm stupid I would help but I'm a idot
y = (x-4) (x+5) what is the x intercept and the x coordinate of vertex?
Answer: x = (4,0) (-5,0)
Step-by-step explanation: You Have To Use The 5 and the 4 to graph the points and since those were the only number They Stay At (4,0) and (-5,0)
find the length of the indicated triangle
Answer:
[tex]35\ units[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\Side\ JK=(4x+19)\\Side\ KL=(9x-1)\\Now, By\ observing\ the\ triangle, we\ notice\ that\ \angle K = \angle L = \angle J.\\ Hence,\triangle JKL\ is\ an\ equilateral\ triangle\ as\ all\ its\ angles\ are\ equal.\\Hence,\\Another\ property\ of\ an\ equilateral\ triangle\ is\ its\ sides\ are\ equal\ too.\\Hence,\\Side\ JK= Side\ KL= Side\ JL\\Hence,\\By\ focusing\ only\ over\ the\ Sides\ JK\ and KL,\\(4x+19)=(9x-1)\\Hence,\\By\ solving\ the\ equation,\\4x+19=9x-1\\[/tex]
[tex]19+1=9x-4x\\By\ using\ the\ Symmetric\ Property\ Of\ Equation,\\9x-4x=19+1\\Hence,\\5x=20\\x=4\\Now,\\As\ KL=(9x-1)\\By\ substituting\ x=4\ in\ (9x-1) ,\\9*4-1\\=36-1\\=35[/tex]