If 1=3
2=3
3=5
4=4
5=4, then 6=?
Answer:
six equal to eight?????
A cylindrical package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 141 inches. Find the dimensions of the package of maximum volume that can be sent. (The cross section is circular.)
radius = ? in.
length = ? in.
Answer:
radius r = 47/π in
length l = 23.5 in
Step-by-step explanation:
Let us recall that:
Volume of a cylinder = [tex]\pi r^2 h[/tex] --- (1)
The girth g = [tex]2 \pi r + h[/tex] ----- (2)
Given that:
height (h) + girth (g) = 141
Then g = 141 - h ----- (3)
Equating equation (2) and (3), we have:
141 - h = 2πr + h
2h = 141 - 2πr
h = 70.5 - πr ------ (4)
From, here now, we can now replace the value of h into equation (1)
i.e.
V = πr²(70.5 - πr)
V = 70.5πr² - π²r³
Taking the differential of the above equation with respect to r, we have:
[tex]\dfrac{dv}{dr} = 141 \pi r- 3\pi ^2 r^2[/tex]
By further differentiation:
[tex]\dfrac{d^2v}{dr^2} = 141 \pi - 6\pi ^2 r[/tex]
Let set [tex]\dfrac{dv}{dr}= 0[/tex], Then:
141πr - 3π²r² = 0
141πr = 3π²r²
Divide both sides by πr
141 = 3πr
r = 141/3π
r = 47/π in
Replacing the value of r = 47/π into equation (4), we have:
h = 70.5 - πr
h = 70.5 - π(47/π)
h = 70.5 - 47
h = 23.5 in
From equation (3);
h + g = 141
23.5 + g = 141
g = 141 - 23.5
g = 117.5 in
Volume = πr²h
V = π × (47/π )² × 23.5
V = 16523.94 in³
Please help me with simplifying this equation? (-5)^5/ (-5)^-6
Thanks
can someone please help me with this
Answer:
Surface Area = 139.4 (rounded to nearest tenth)
What is the measure of remote angle, ∠A?
Answer:
40
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
<A = 1/2 (80)
<A = 40
The sampling distribution describes the a. long-run behavior of a statistic. b. short-term behavior of the population. c. sample size. d. population proportion.
Answer:
Option A
Step-by-step explanation:
A probability distribution of a statistic that represents a large sample derived from a certain specific population size to determine a range of possible outcomes of statistics such as Mean, Standard deviation, mode, median etc. in a way that it represents the existing entire population is known as a sampling distribution
Hence, option A is correct
What is the exact measurement of the line segment?
A screening test for a disease shows a positive result in 91% of all cases when the disease is actually present and in 7% of all cases when it is not. Assume that the prevalence of the disease is 1 in 650. If the test is administered to a randomly chosen individual, what is the probability that the result is positive
Answer:
0.0713 = 7.13% probability that the result is positive.
Step-by-step explanation:
Probability of a positive test:
91% of 1/650(has the disease).
7% of 1 - 1/650 = 649/650(does not have the disease). So
[tex]p = 0.91\frac{1}{650} + 0.07\frac{649}{650} = \frac{0.91 + 0.07*649}{650} = 0.0713[/tex]
0.0713 = 7.13% probability that the result is positive.
A die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6}. Find the probability of getting a 6.
Answer:
1/6
Step-by-step explanation:
maths question 11 divided by 4 please give me the answer in decimal as fast as u can
2.75
Step-by-step explanation:
[tex]\sf\purple{2.75}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{11}{4} \\ = 2.75[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.ඞ}}}}}[/tex]
Fill in the missing monomials: 49y4x6= (_______)2
Answer:
7y²x³
Step-by-step explanation:
when taking an exponent to an exponent multiply them
(7y²x³)² = 49y⁴x⁶
E
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 27 N acts on a certain object, the acceleration
of the object is 3 m/s?. If the force is changed to 18 N, what will be the acceleration of the object?
X
5
?
Solution :
It is given that force on the object is directly proportional to acceleration.
So, F = ka
Here, k is any constant value.
Putting, F = 27 N and a = 3 m/s² in above equation, we get :
3k = 27
k = 9 N s² m⁻¹
Putting, k in above equation, we get :
F = 9a
Now, putting F = 18 N, we get :
a = 18/9 m/s²
a = 2 m/s²
Hence, this is the required solution.
IM LOW ON TIME AND NEED YOUR HELP 30 PST
Answer:
12.56
Step-by-step explanation:
First of all, pi = 3.14
Diameter=4
Radius=2
3.14×[tex]2^{2}[/tex]
So,
3.14 × 4 =
12.56
Hope this helps!! (Hope I did this in time!!)
according to data given in this table find percentage of absentees on friday
plz solve it CORRECTLY step by step
Answer:
[tex]\%Absent = 80.20\%[/tex]
Step-by-step explanation:
Given
The attached data
Required
%Absentee on Friday
First, calculate the total present
[tex]Present = 42 + 36 + 40 + 36 + 38[/tex]
[tex]Present = 192[/tex]
Calculate the %Present on Friday
[tex]\%Present = \frac{Friday}{Present} * 100\%[/tex]
[tex]\%Present = \frac{38}{192} * 100\%[/tex]
[tex]\%Present = \frac{3800}{192}\%[/tex]
[tex]\%Present = 19.80\%[/tex]
Using complement rule:
[tex]\%Absent = 100\% - \%Present[/tex]
[tex]\%Absent = 100\% - 19.80\%[/tex]
[tex]\%Absent = 80.20\%[/tex]
Find the degree measure 7pi/4 radians
The degree for 7pi/4 is : 315°
Assume the total cost of a college education will be $200,000 when your child enters college in 16 years. You presently have $55,000 to invest. What annual rate of interest must you earn on your investment to cover the cost of your child’s college education?
Answer:
8.4%
Step-by-step explanation:
let x = interest rate
55,000(1 + x)^16 = 200,000
divide both sides by 55,000
(1 + x)^16 = 3.636
find the invese of 16
1 + x = 1.084
x = 0.084
x = 8.4
Find the area of the composite figure
Answer:
area of semicircle=76.969 inches
triangle is=10 in so 20 since there is 2 triangles made
rectangle=140 in
236.969 inches is the total
hope this helps
have a good day :)
Step-by-step explanation:
Which of the following is NOT TRUE about graphing a quadratic equation: ax2 + bx + c
The "b" value is the x-coordinate of the vertex.
The graph is called a parabola and either opens up or down.
The x-intercepts can be found by factoring and using the zero product property.
The "C" term is the y-intercept of the graph.
Answer:
The "b" value is the x-coordinate of the vertex. - NOT TRUE
Step-by-step explanation:
The "b" value is the x-coordinate of the vertex. - NOT TRUE
The x-coordinate of the vertex is -b/(2a)
Ashley's purchasing school uniforms for children if the cost of the uniforms is $136.50 if there is 8% sale tax in the community how much sales tax in dollars will she pay?
Answer:
10.92
Step-by-step explanation:
136.5*(8/100)that is tax
Answer:10.92
Step-by-step explanation:
Plz help me well mark brainliest if correct..??
Answer:
C/5
Step-by-step explanation:
This is because there are 2 people in the 3| part, and 3 people under 6 in the 4| part.
Write an equation to represent the following description. The difference of seven times a number and 15 is 41.
Answer: 3
7x + 15 = 41 or 7x - 15 = 41
Answer:
7x - 15 = 41
Step-by-step explanation:
The key word is "difference" so keep that in mind. 7 times a number and 15 is 41. The "number" is unknown so a variable can be put in place until the number is known. The whole equation equals 41. The word "and" is where the "difference" or subtraction sign should go. Now we have a translated description! I hope this helps and if I'm wrong, please let me know!
Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. Michelle has a score of 48. Convert Michelle's score to a z-score. (Round to two decimal places if necessary.)
Answer:
-2.00
Step-by-step explanation:
Applying,
Z = (x-μ)/σ.................. Equation 1
Where Z = Michelle z-score, x = Michelle score, μ = mean of the score, σ = Standard deviation of the score.
From the question,
Given: x = 48, μ = 70, σ = 11
Substitute these values into equation 1
Z = (48-70)/11
Z = -22/11
Z = -2.00
Hence Michelle's z-score is -2.00
Help with 5+5-3 please
Step-by-step explanation:
5+5-3= 7
!!!!!!!!!!!!!!!!!
Answer:
answer is 7 please give a brainliest please
Step-by-step explanation:
21/100 = k/10 + 1 /100 what number is k?
Find missing side
help quick pls
Answer:
7m
Step-by-step explanation:
18/6 = 3
24/8 = 3
21/x = 3
21/3 = 7
x = 7
Solve
4x > 16
..............
Answer:
256. fffddddddssddddd
A letter is randomly chosen from the word CANDLESTICK. Find the probability that
you chose an Nor S.
Answer:
The probability of you choosing S would be a 1/11 chance or a 0.0909090909 chance.
Answer:
1 / 11
Step-by-step explanation:
there are 11 letters in candlesick so 11 possibilities and 1 S which is 1 out of 11 or 1 / 11.
Hope this helps ( :
What is its equation in slope-intercept form ?
Answer:
Candice
Step-by-step explanation:
Kim took a 3,000 mile trip in 4 days.
1st day - 850 miles
2nd day - 745 miles
3rd day - 660 miles
How many miles did she travel the 4th day?
O A. 2265 miles
B. 745 miles
C. 855 miles
O D. 265 miles
E 755 miles
Answer:
B. 745 miles
Step-by-step explanation:
Given that
Kim took 3000 miles trip in 4 days
And,
1st day - 850 miles
2nd day - 745 miles
3rd day - 660 miles
We need to find out that how much she travel in the 4th day
So, it is
= 3000 miles - 850 miles - 745 miles - 660 miles
= 745 miles
Hence, the option b is correct
The track team has 12 more boys than girls. There are a total of 142 team members. How many boys and girls are on the team?
Answer:
77 boys, 65 girls
Step-by-step explanation:
x as the variable to represent amount of girls, and there are 12 more boys than girls (x+12). So the equation would be:
x + x + 12 = 142
2x + 12 = 142
x = 65
65 girls
then 65+ 12 = 77 boys