Answer:
V = 702.984763 m³
Step-by-step explanation:
radius r = 6.9 m
height h = 4.7 m
volume V = 702.984763 m³
lateral surface area L = 203.7637 m²
top surface area T = 149.571226 m²
base surface area B = 149.571226 m²
total surface area A = 502.906152 m²
In Terms of Pi π
volume V = 223.767 π m³
lateral surface area L = 64.86 π m²
top surface area T = 47.61 π m²
base surface area B = 47.61 π m²
total surface area A = 160.08 π m²
Agenda:
r = radius = diameter/2
h = height
V = volume
L = lateral surface area
T = top surface area
B = base surface area
A = total surface area
π = pi = 3.1415926535898
√ = square root
Formula: Cylinder Formulas in terms of r and h:
Calculate volume of a cylinder:
V = πr²h
Calculate the lateral surface area of a cylinder (just the curved outside):
L = 2πrh
Calculate the top and bottom surface area of a cylinder (2 circles):
T = B = πr²
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr²) = 2πr(h+r)
solve the following simultaneous linear+y=3and3x-y=1
Answer:
x= 4/3 and y=3
what is the probability that the next person you meet was not born in February? No leap years.
Answer:
A
Step-by-step explanation:
Since there are 28 days in a regular February and 365 days in a total year, the probability that a random person is born in February is 28/365. This means that the probability that they were NOT born in February is 337/365, or answer choice A. Hope this helps!
Answer:
a.
Step-by-step explanation:
A non leap year has 365 days. February of a non leap year has 28 days.
365 - 28 = 337
There are 337 days in a non leap year that are not in February.
p(not February) = 337/365
Airborne Airlines Inc. has a $1,000 par value bond outstanding with 20 years to maturity. The bond carries an annual interest payment of $102 and is currently selling for $880. Airborne is in a 30 percent tax bracket. The firm wishes to know what the aftertax cost of a new bond issue is likely to be. The yield to maturity on the new issue will be the same as the yield to maturity on the old issue because the risk and maturity date will be similar.
a. Compute the yield to maturity on the old issue and use this as the yield for the new issue. (Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.)
b. Make the appropriate tax adjustment to determine the aftertax cost of debt. (Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.)
Answer:
(a) 11.64%
(b) 8.15%
Step-by-step explanation:
Airborne airlines has an annual interest of payment= $102
Principal payment= $1,000
Time to maturity= 20 years
Current price of the bond= $880
The formular for calculating the yield on maturity is
[ Annual interest payment+Principal payment-(price of the bond/number of years to maturity)] / 0.6(price of the bond) + 0.4(principal payment)
(a) [102+(1000-880)/20)]/ [0.6(880) + 0.4(1000)]
= [102+ (120/20)]/ [528+400]
= [102+6]/ 928
= 108/928
= 11.637%
= 11.64% ( to 2 decimal places)
(b) Kd= Yield(1-T)
Kd= 11.64(1-0.30)
Kd= 11.64×0.7
Kd= 8.145%
Kd= 8.15%( to 2 decimal places)
Hence the yield to maturity on the new issue is 11.64% and the aftertax cost of debt is 8.15%
what role do binomial factors (like (x+3) and (x-2) ) have in algebra.
Answer: Binomial factors are polynomial factors that have exactly two terms. Binomial factors are interesting because binomials are easy to solve, and the roots of the binomial factors are the same as the roots of the polynomial. Factoring a polynomial is the first step to finding its roots.
5 Write the first five terms of the sequence with nth term.
a 4n
b 2n+1
c 3n -2
d 1/2n +1
e 20 -5n
f -2n +3
Answer:
its a lot u'll see at the end
Step-by-step explanation:
a) 4n = 4,8,12,16,20
b) 2n+1= 3,5,7,9,11
c) 3n-2= 1,4,7,10,13
d) 1÷2n+1= [tex]\frac{3}{2}[/tex], [tex]\frac{5}{4} ,\frac{7}{6} ,\frac{9}{8} ,\frac{11}{10} ,[/tex]
e) 20-5n= 15,10,5,0,-5
f) -2n+3= 1,-1,-3,-5,-7
took me a while hope it is helpful
perform the indicated operation 5/11 + 9/11
Answer:
It would be 14/11
when you make it a mixed number, it'll be 1 3/11
Step-by-step explanation:
You can't simplify it more than 3/11 so
1 3/11
Alison is buying notebooks for school. Small notebooks cost $3 each, and large notebooks cost $5 each. If Alison needs to buy at least 12 notebooks and has no more than $45 to spend, what is the maximum number of large notebooks she can buy?
Answer:
7 large notebooks and 3 small notebooks.
Step-by-step explanation:
If you take the number 5 and keep adding it to itself you will get the number 45. This should help.Therefore the answer to this word problem would be, " Alison can buy 7 large $5 notebooks. She can also buy 3 small notebooks.
Brainliest is greatly appreciated
Answered by: SKylar
6/8/2020
12:13 PM (Eastern Time)
Answer: 9 notebooks
Step-by-step explanation:
It says “what’s the maximum of large notebooks can she buy” So basically I guess just large notebooks.
Please Help ASAP!
Select the situations that represent a function. (A,B,C,D)
Answer:
A and B both have an input that has multiple outputs so the answer is C and D.
Which expression has a positive value?
Negative 4 + (negative 5) (negative 6) divided by (negative 3)
8 Left-bracket 10 divided by (2) (negative 2) Right-bracket
3 (negative 64 divided by 8) + 25
Negative 2 (negative 5) (negative 3) divided by 10
Answer:
3 (negative 64 divided by 8) + 25 = 1
Step-by-step explanation:
Negative 4 + (negative 5) (negative 6) divided by (negative 3) = -4 + (-5)(-6)/(-3) = -4 + 30/-3 = -4 - 10 = -14
8 Left-bracket 10 divided by (2) (negative 2) Right-bracket = 8(10/((2)(-2)) = -20
3 (negative 64 divided by 8) + 25 = 3(-64/8) + 25 = 3(-8) + 25 = -24 + 25 = 1
Negative 2 (negative 5) (negative 3) divided by 10 = (-2)(-5)(-3)/10 = -3
The only positive value here is 1, which is a result of 3 (negative 64 divided by 8) + 25
Answer:
C
Step-by-step explanation:
i took the test
the scale on a map is 1 cm : 7km. if two cities are 15 cm apart of the map, what is the actual distance between the cities?
Answer:
x = 105 km
Step-by-step explanation:
We can use ratios to solve
1 cm 15 cm
------------ = ------------
7 km x km
Using cross products
1 * x = 7 * 15
x = 105 km
Answer:
[tex]105km[/tex]
c
Step-by-step explanation:
[tex]1cm = > 7km \\ 1cm = > 700000[/tex]
[tex]1 : 70000[/tex]
[tex]1cm = > 700000cm \\ 15cm = > x[/tex]
[tex] \: 1 \: \: \: : 700000 \\ 15 : x[/tex]
Use cross multiply
[tex] \\ 1x = 15 \times 700000 \\ x = 10,500,000 \\ [/tex]
so,
[tex]1cm = > 700000cm \\ 15cm = > 10,500,000 cm[/tex]
[tex]15cm = 10,500m \\ 15cm = 105km[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the decay factor in y = 760(0.75)3?
Answer:
Decay factor is 0.75.
Step-by-step explanation:
The given function is
[tex]y=760(0.75)^3[/tex] ...(1)
The general form of exponential decay function is
[tex]y=a(1-r)^t[/tex] ...(2)
where, a is initial amount, t is the time period, r is decay rate and (1-r) is the decay factor.
On comparing (1) and (2), we get
[tex]a=760, t=3, (1-r)=0.75[/tex]
Therefore, the decay factor is 0.75.
The square of a number I see equal to two less than three times the number. What are two possible values of the number? A. 1,2 B. -1,2 C. 1,-2 D. -1,-2 E. 2,3
Answer:
Option A
Step-by-step explanation:
Let us take this number as x, translating this description of the equation into mathematical language;
[tex]x^2 = 3x - 2[/tex]
Now let us solve for x;
[tex]x^2 = 3x - 2,\\x^2+2=3x-2+2,\\x^2+2=3x,\\x^2+2-3x=3x-3x,\\x^2-3x+2=0,\\\\Factored = \left(x-1\right)\left(x-2\right)=0,\\Zero Factor Principle, \\x = 1, x = 2\\\\Solution - Option A[/tex]
* Note that for the the previous problem I solved, I set up a similar equation that had two values for the width, one negative and the other positive. Now the width could only be a positive number, so there was only one solution out of the two.
G(x)=3x^2-12x+8 maximum or minimum
Answer:
Minimum
Explanation:
This is what the graph looks like. As you can see, there is no point lower than y=-4. That means the graph has a minimum rather than a maximum.
Here's a shortcut! If the coefficient of x² is positive, the graph has a minimum point. If the coefficient is negative, the graph has a maximum point.
What is the surface area of a sphere with the given dimension? Express your answer to nearest hundredth. Use 3.14 for pi.
Radius = 5cm.
a. 982 sq. cm
C. 314 sq.cm
b. 1481.34 sq.cm
d. 628 sq. cm
Answer:
314cm²
Step-by-step explanation:
Surface area(sphere) =4πr²
4 * 3.14 * (5²)
4 * 3.14 * 25
Hence, Surface area is 314sq.cm
Help im still lazy lol
Answer:
t= -105
Step-by-step explanation:
To solve the equation, we want to find out what t is. In order to do this, we have to get t by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
-1/15t=7
t is being multiplied by -1/15. The opposite of multiplication is division. Divide both sides by -1/15.
-1/15t/-1/15=7/ -1/15
t=7/ -1/15
Instead of dividing a number by a fraction, you can multiply the number by the reciprocal of the fraction.
To find the reciprocal, flip the numerator (top number) and denominator (bottom number).
-1/15--flip--> -15/1=-15
Substitute -15 in for -1/15, and switch the division sign to a multiplication sign.
t= 7* -15
t=-105
Let's check out solution. Plug -105 back in for t in the original equation.
-1/15t=7
-1/15*-105=7
7=7
Both sides are the same, so we know that t=-105.
Answer:
t=-105
Step-by-step explanation:
[tex]-\frac{1}{15} t =7[/tex]
What we need to do here is to isolate t.
Let's multiply both sides by -15.
[tex]-\frac{1}{15}t * -15 = 1t[/tex]
7*-15= -105
t=-105
Which expression has the least value?
A. 3(33)
B. 0 31-33)
C. 0-31-33)
D. 3(3-3)
Answer:
I think it is C but can't be sure because B isn't clear.
Step-by-step explanation:
I WILL GIVE YOU BRAINLIEST!!!!!
Answer: C
Step-by-step explanation:
If you look at the patterns in the table, you will notice that y is always the square of x. So y = x^2 (C)
Answer:
c
Step-by-step explanation:
When you multiply any negative number by any power the answer is the same as the positive of that number.Just make sure you put it in like this into the calculator:
[tex](-4)^{2}[/tex]
Multiple choice easy question! Please help!!!! Question in photo.
Answer:
B. -5.5 + (-8.3)
Step-by-step explanation:
The plus sign is basically just saying to add the two negatives just like how you would have added the negatives without the sign.
ANSWER B. -5.5 + (-8.3)
HELP FAST 5√6 As a Whole Radical
Answer:
sqrt(150)
Step-by-step explanation:
We want to write the whole number inside the radical
5 = sqrt(5*5)
We know that sqrt(a) sqrt(b) = sqrt(ab)
5 * sqrt(6)
sqrt(5*5) * sqrt(6)
sqrt(5*5*6)
sqrt(150)
Answer:
[tex]\sqrt{150}[/tex]
Step-by-step explanation:
since the 5 is out of the sqrt root, you need to ^2 to put it back in again.
[tex]5^{2}[/tex]=25
and then in the sqrt you multiply the two variables
6* 25 = 150
so the answer is sqrt{150}
The distance between Joshua's home and school is 800 m. Joshua takes 5 min to walk
the first 100 m to a Convenient Store nearby. He would spend 10 min in the store to
complete his purchase. Finally, he takes another 20 min to reach school. What is his
average speed in m/s?
Answer:
= 0.38 m/s
Step-by-step explanation:
▪Total distance = 800 m
5 min = 100 m
▪Remaining distance = 800 - 100 = 700 m
20 min = 700 m
▪Total time taken = 20 + 10 + 5 = 35 min
If 1 min = 60 sec
What about 35 min = ?
= 35 x 60
= 2100 sec
▪Average speed = TD ÷ TT
= 800 ÷ 2100
= 0.38 m/s
A recipe for a batch of blueberry muffins calls for 3/5
the cup of blueberries. If Riley wants to make 1/2
a batch of muffins for herself and her tennis partner, how many cups of blueberries will she need?
Riley will need cups of blueberries.
Answer:
3/10
Step-by-step explanation:
Half of 3/5 is 3/10
Brainliest plss
Answer:
3/10
Step-by-step explanation:
You multiply 3/5 by 1/2.
3/5 x 1/2= 3/10
Hope I could help :)
find the number missing from the following equivalent fractions: 9/15= ?/60
Answer:
36/60
Step-by-step explanation:
Divide the larger denominator with the smaller denominator.
60/15 = 4
Use this number and multiply this to the numerator to get the unknown.
4*9=36
7/10 divided by 2
Please help if available ✌
Answer:
0.35
Step-by-step explanation:
if you divide them together you get 0.35
Cuál es el menor número entero que, disminuido en 8, resulta menor que su triple
Answer:
-3
Step-by-step explanation:
Let x = the number
Then 3x = its triple, and the condition is:
x - 8 < 3x
Subtract x from each side
-8 < 2x
Divide each side by 2
-4 < x
Reverse the inequality
x > -4
The smallest integer greater than -4 is -3.
Check:
-3 - 8 < 3(-3)
-11 < -9
It checks.
What is the leading coefficient of the polynomial f(x)f(x) defined below? f(x)=−3x^4−10x^3
Answer:
9x^8
Step-by-step explanation:
f(x) is a binomial. Multiplying a binomial by itself results in a trinomial. In this problem we need ONLY to specify what the leading coefficient (coefficient of this trinomial product) is.
Here this is obtained by squaring the coefficient −3x^4. We get"
(-3)^2*(x^4)^2 = 9x^8
Suppose you have a bag of colored elastic bands and you choose one without looking. The probability the elastic band you choose is blue is P(blue)=0.34. Write this probability as a percent and a fraction.
Answer:
0.34 can be written as 34% or 34/100.
Can someone pls help me with this?
What is the inverse of y= e^x+3 -4
Answer:
log(x + 1)inverse function y(x) = e^x + 3 - 4
i think of a number , take away 1 and multiply the result by 3
Answer:
Step-by-step explanation:
Let the number be x
Take away 1: x -1
Then multiply the result by 3: (x- 1) * 3 = (x-1)3 or 3x - 3
Which of the following is most likely to be a relative minimum for this graph?
Answer: A (3, -4)
Step-by-step explanation:
A minimum is at the lowest point on the parabola. The minimum and maximum can be seen by looking at the vertex.
If you go right 3 spaces on the x-axis horizontally, then down 4 spaces vertically on the y-axis you get (3, -4).
4 is negative because you are going down below the x-axis.
