Answer: 72 degrees
Step-by-step explanation:
A circle is 360 degrees. So, 20% of 360 is 72 degrees
360 x 0.20 = 72
Jenna bought some rope for a project. The rope cost $3.50 per meter. She bought 432 centimeters of ropehow much did jenn pay for the rope
Answer:
1 meter= 100 cm
432cm/100=4.32 cm
$3.50*4.32=$15.12
the total cost is: $15.12
Step-by-step explanation:
Answer:
15.12
Step-by-step explanation:
What type of equation is The area of a square is a function of the length of the side of the square.
Answer:
Can you post the picture pls
Step-by-step explanation:
4x+5≥9? it's not gonna let me upload the picture btw srry
Answer:
x≥1
Step-by-step explanation:
At an assembly 7 out of the first 10 students who entered the gym were carrying a backpack.
Based on this information, if 700 students were at the assembly, how many students could be expected to be carrying a backpack?
Record your answer on the keypad and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer: 490
Step-by-step explanation: If 7 out of ten students have a backback you can also say 7/10. If in total there are 700 students we can multiply 7/10 or .7 woth 700 and get the answer. (7/10)(700)=490
A person invested $3,500 in an account growing at a rate allowing the money to double every 15 years. How long, to the nearest tenth of a year would it take for the value of the account to reach$7,700?
Answer:
30 years and a half
Step-by-step explanation:
well let's just say 3.5k x hmm 2? at an estimate and that will get us to 7000.. so in order to get to 7000 we have to wait 15 years which is 30 years and a half. From Xthermyx. A brainly user.
It would take 22.7 years for the value of the account to reach $7,700.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Since the money in the account is doubling every 15 years.
The following equation is used to find the time it takes to reach a certain value:
t = (ln(P/F))/(ln(1+r))
where:
P = the initial investment amount
F = the future value we want to reach
r = the growth rate per period
ln = natural logarithm
t = the number of years it takes to reach F
P = $3,500
F = $7,700
r = ln(2)/15 (since the money is doubling every 15 years).
Plugging these values into the equation.
t = (ln(3500/7700)) / (ln(1+ln(2)/15))
t = ln (5/11) / ln (1 + 0.30/15)
t = 22.7
Therefore,
It would take 22.7 years for the value of the account to reach $7,700.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
i need to find the angle for bcd on the screen shot
Answer:
dgdgfgt4e
Step-by-step explanation:
Answer: ACE= 180 so knowing that 24 is a vertical angle to ACB we can take 24+31=55 180-55=125
Step-by-step explanation:
Suppose you want to factor the expression x2 + 2xn+n?. Given that n>0, what are the factors? Explain.
Select the correct answer below and, if necessary, fill in the answer box to complete your choice.
O A. The value of n can be any positive integer resulting in the same factor
O B. The value of n can be any positive integer resulting in the distinct factors
(Use a comma to separate answers as needed.)
O C. The value of n can be any prime integer resulting in the same factor
O
D. The value of n can be any prime integer resulting in the distinct factors
(Use a comma to separate answers as needed.)
O E. The expression cannot be factored for the given values of n.
Answer:
A. The value of n can be any positive integer resulting in the same factor
Step-by-step explanation:
Given
[tex]x^2 + 2xn + n^2[/tex] --- the right expression
[tex]n > 0[/tex]
Required
Possible values of n
[tex]x^2 + 2xn + n^2[/tex]
Expand
[tex]x^2 + 2xn + n^2 = x^2 + xn+xn + n^2[/tex]
Factorize
[tex]x^2 + 2xn + n^2 = x(x + n)+n(x + n)[/tex]
Factor out [tex]x + n[/tex]
[tex]x^2 + 2xn + n^2 = (x + n)(x + n)[/tex]
From the expression above, we can see that the result has the same factor. This means that options (b), (d) and (e) are not possible
[tex]x^2 + 2xn + n^2 = (x + n)^2[/tex]
The above also shows that n can take any positive value.
Hence: (a) is correct
Find the roots of the following factored quadratic equation.
y = (4x - 7) (8x +9)

Step-by-step explanation:
[tex](4x - 7)(8x + 9) \\ = 4x \: . \: 8x + 4x \: . \: 9 + ( - 7 \: . \: 8x) + ( - 7 \: . \: 9) \\ = 32 {x}^{2} + 36x + ( - 56x) + ( - 63) \\ = 32 {x }^{2} - 20x - 63[/tex]
#CMIIWCan you guys help me solve this
In the data set below, what is the median
Just help on #9 please.
I’ll give brainlylist in return!
Thank you.
Answer:
Zeroes are x = 6 and x = -4
Factored form is - ( x + 4 ) ( x - 6 )
Standard form is -x^2 + 2x +24
Step-by-step explanation:
Solve out the equation to get the standard form, then factor that equation to get the factored form. Set each factor equal to zero and solve for x to get zeroes of the function
Hopefully this helps - let me know if you have any questions!
PLEASE HELP ALL U HAVE TO DO IS SELECT IF IT IS NEGATIVE OR POSITIVE!
Answer:
Negative
Step-by-step explanation:
It just is....
Answer:
negative
Step-by-step explanation:
negative something(a) subtract by a positive(b) is still negative
-9(14d - 13e) =
*As an expression*
Answer:
−126d + 117e
Step-by-step explanation:
Give me Brainllest
Answer:
Solution given:-9(14d - 13e) =117e-126d is your answer
find the measure of each interior angle of a regular polygon with the following number of sides 12
Answer:
each interior angle = 150°
Step-by-step explanation:
(N x 180°) - 360° = the sum of interior angles
where N = the number of sides
(12 x 180°) - 360° = 1800°
Since it is a regular polygon, all 12 angles are equal:
1800°/12 = 150°
HELP!!!! ITS IMPORTANT!!
Answer:
1) "Most certainly, do you like your math class?"
2) "Sometimes it is difficult but I just request extra help."
3) "For sure! As long as you keep trying, your efforts will pay off. It was nice talking to you."
For purposes of making on-campus housing assignments, a college classifies its students as Priority A (seniors), Priority B (juniors), and Priority C (freshmen and sophomores). Of the students who choose to live on campus, 22% are seniors, 29% are juniors, and the rest are underclassmen. The most desirable dorm is the newly constructed Gold dorm, and 71% of the seniors elect to live there. 19% of the juniors also live there, along with only 5% of the freshmen and sophomores. What is the probability that a randomly selected resident of the Gold dorm is a senior? Show as much work as possible.
Answer:
The probability that a randomly selected resident of the Gold dorm is a senior is 0.1562
Step-by-step explanation:
The given percentage of each class of student is presented as follows;
Priority A (seniors) = 22%, ∴ P(s) = 0.22
Priority B (juniors) = 29%, ∴ P(j) = 0.29
Priority C (freshmen and sophomores) = (100 - 22 - 29)% = 49%, ∴ P(fs) = 0.49
The percentage of the seniors that elect to live at the Gold dorm, = 71%, ∴ P(sG) = 0.71
The percentage of the juniors that live at the Gold dorm = 19%, ∴ P(jG) = 0.19
The percentage of the freshmen and sophomores that live in the Gold dorm = 5%, ∴ P(fsG) = 0.05
The probability that a randomly selected resident of the Gold dorm is a senior = P(s∩sG) = P(s) × P(sG)
∴ P(s∩sG) = 0.22 × 0.71 = 0.1562
Therefore;
The probability that a randomly selected resident of the Gold dorm is a senior = P(s∩sG) = 0.1562.
this was the question it got deleted I just need 1,2,5
Answer:
1. The volume of the cylinder is 263 [tex]cm^{3}[/tex].
2. The volume of the cylinder is 12 [tex]m^{3}[/tex].
3. The volume of the cylinder is 3165.1 [tex]cm^{3}[/tex].
4. The radius of the cylinder is 3.6 cm.
5a. Area of the base is 50.2 [tex]cm^{2}[/tex].
5b. The curved surface area of the pencil holder is 351.7 [tex]cm^{2}[/tex].
5c. The surface are of the pencil holder is 452.2 [tex]cm^{2}[/tex].
Step-by-step explanation:
1. The given shape is a cylinder, so that;
volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
= 3.14 x [tex](3.8)^{2}[/tex] x 5.8
= 262.98128
The volume of the cylinder is 263 [tex]cm^{3}[/tex].
2. This is also a cylinder, but with a given diameter.
radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{1.2}{2}[/tex] = 0.6 m
volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
= 3.14 x [tex](0.6)^{2}[/tex] x 10.6
= 11.98224
The volume of the cylinder is 12 [tex]m^{3}[/tex].
3. volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
= 3.14 x [tex]6^{2}[/tex] x 28
= 3165.12
The volume of the cylinder is 3165.1 [tex]cm^{3}[/tex].
4. volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
239 = 3.14 x [tex]r^{2}[/tex] x 6
239 = 18.84 [tex]r^{2}[/tex]
[tex]r^{2}[/tex] = [tex]\frac{239}{18.84}[/tex]
= 12.6858
r = [tex]\sqrt{12.6858}[/tex]
= 3.5617
The radius of the cylinder is 3.6 cm.
5. Area of the base = [tex]\pi[/tex][tex]r^{2}[/tex]
radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{8}{2}[/tex] = 4 cm
Area of the base = 3.14 x [tex]4^{2}[/tex]
= 50.24
Area of the base is 50.2 [tex]cm^{2}[/tex].
5b. Area of the curved surface of the pencil holder = 2[tex]\pi[/tex]rh
= 2 x 3.14 x 4 x 14
= 351.68
The curved surface area of the pencil holder is 351.7 [tex]cm^{2}[/tex].
5c. Surface area of the pencil holder = 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex][tex]r^{2}[/tex]
= 2[tex]\pi[/tex]r(h + r)
= 2 x 3.14 x 4 (14 + 4)
= 452.16
The surface are of the pencil holder is 452.2 [tex]cm^{2}[/tex].
The total cost of 5 boxes of pasta is $13.00. Each box of pasta costs the same amount.
What is the cost, in dollars, for 1 box of pasta? (only enter a numerical answer in the box)
One box of pasta costs?
Answer:
$2.60
Step-by-step explanation:
13.00÷5=2.6
6 is in tens placement
Base your answer on Betty is thinking of two consecutive integers whose sum is 41.
What is the value of the larger integer?
Answer:
let the numbers be, x and x+1 ( as it is consecutive number the next number will have 1 more than the number )
sum = 41
so, x + ( x + 1 ) = 41
x + x + 1 = 41
2x + 1 = 41
2x = 41 -1 = 40
2x = 40
x = 40/2 = 20
x = 20
x + 1 = 20 + 1 = 21
so the consecutive numbers whose sum is 40 are, 20 and 21
hope this answer helps you.....
please mark as brainliest... thank you!
Consider g(x)
4x + 9
x6+1
Which statement correctly uses limits to determine the end behavior of g(x)?
Answer:
the 3rd option
Step-by-step explanation:
Answer:
the correct answer to this is C, have a wonderful day :)
Step-by-step explanation:
Cyber Monday Shopping A survey of U.S. adults found that of people said that they would get no work done on Cyber Monday since they would spend all day shopping online. Find the confidence interval of the true proportion. Round intermediate answers to at least five decimal places. Round your final answers to at least three decimal places.
Complete question :
Cyber Monday Shopping A survey of 1000 U.S. adults found that 33% of people said that they would get no work done on Cyber Monday since they would spend all day shopping online. Find the 95% confidence interval of the true proportion.
Answer:
(0.301 ; 0.359)
Step-by-step explanation:
Sample size, n = 1000
Phat = 0.33
(1 - phat) = 1 - 0.33 = 0.67
Zcritical at 95% = 1.96
Confidence interval :
Phat ± margin of error
Margin of Error = Zcritical * sqrt[(phat(1 - phat)) /n]
Margin of Error = 1.96 * sqrt[(0.33 * 0.67) / 1000]
Margin of Error = 1.96 * 0.0148694
Margin of Error = 0.0291440
Lower boundary = (0.33 - 0.0291440) = 0.300856
Upper boundary = (0.33 + 0.0291440) = 0.359144
(0.301 ; 0.359)
A car starts from rest and attains a velocity of 9km/h in 5 seconds . Calculate acceleration and the displacement covered in that time
Answer:
Acceleration is 0.5 m/s² and the distance covered is 6.25 m.
Step-by-step explanation:
Given that,
Initial speed, u = 0
Final speed, v = 9 km/h = 2.5 m/s
Time, t = 5 seconds
We need to find the acceleration and the displacement covered in that time. Acceleration = rate of change of velocity
So,
[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{2.5-0}{5}\\\\a=0.5\ m/s^2[/tex]
Distance d can be calculated using third equation of motion.
[tex]d=\dfrac{v^2-u^2}{2a}\\\\d=\dfrac{2.5^2-0^2}{2\times 0.5}\\\\d=6.25\ m[/tex]
So, acceleration is 0.5 m/s² and the distance covered is 6.25 m.
(A-REI) Consider the following system of equations.
3x - 5y = 4
5x + y = 16
Determine the y-coordinate of the solution of the
system.
Step-by-step explanation:
8y=78/5x=20
x=2/5
5(2/5)+y=16
2+5y=5(16)
2+5y=80
5y=78
y=78/5
If the measure of ACB is 50 degrees, what is the measure of that AOB
Answer:
100 degrees
Step-by-step explanation:
α=2θ
α=2(50)
α=100
Suppose you invest $130 a month for 5 years into an account earning 8% compounded monthly. After 5 years, you leave the money, without making additional deposits, in the account for another 25 years. How much will you have in the end?
Answer:
FV= $70,887.15
Step-by-step explanation:
First, we need to calculate the future value of the $130 deposit for 5 years:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit= $130
i= 0.08/12= 0.0067
n= 5*12= 60 months
FV= {130*[(1.0067^60) - 1]} / 0.0067
FV= $9,561.96
Now, using the following formula, the future value of the investment after 25 years:
FV= PV*(1 + i)^n
n= 25*12= 300
FV= 9,561.96*(1.0067^300)
FV= $70,887.15
For the school play, tickets cost $9.50 for adults and $3 for kids under 12. What
would be the total cost for 8 adult tickets and 21 kids tickets? What would be the total
cost for a adult tickets and k kids tickets?
Answer:
250 $3 tickets and 100 $2 tickets were sold
4.
What is the probability of getting a green or red, potted plant?
Red
Plants
Green
Ground
Potted
Ground
Potted
Ground
Potted
Purple
a. 24
b. 23
c. 13
d. 1/8
Answer:
b
Step-by-step explanation:
2/3 because if you look there are 3 answeres and only 2 are mentioned also if you take the number of potted to not potted and summed em up you woukd still have 2/3
If a sphere is 120 feet in diameter what is the volume?
Help please
Answer:
120
Step-by-step explanation:
Solve for the surface area of the figure below..
Answer and Step-by-step explanation:
To find the surface area, we have to find the area of all the faces of the shape, then add them together. We also only use the exposed faces, or the faces on the outside, not the inside.
Lets start with the rectangular prismed shape.
We have two faces with sides of 4 and 5, two faces with sides 16 and 4, and 1 side with 16 and 5.
Rectangles:
4 × 5 = 20
4 × 5 = 20
4 × 16 = 64
4 × 16 = 64
5 × 16 = 80
Now, let's do the triangles up top. There will essentially be 4 triangles, because we split them in half to find the area.
They have side lengths of 6 and 8.
Triangles:
6 × 8 = 48
6 × 8 = 48
6 × 8 = 48
6 × 8 = 48
Now, we have to the two rectangles up top.
They have side lengths of 10 and 4.
Top Rectangles:
10 × 4 = 40
10 × 4 = 40
Now, we add them all together.
20 + 20 + 64 + 64 + 80 + 48 + 48 + 48 + 48 + 40 + 40 =
40 + 208 + 192 + 80 =
520.
The Surface Area of the figure is 520 [tex]m^2[/tex]
#teamtrees #PAW (Plant And Water)
The length of a planet's orbit around a star is approximately 22,200,000 km.
It takes the planet about 1230 Earth days to complete a full orbit.
What is the planet's average speed in kmh-1 to 3sf?
Answer:
Speed = 7520 km/h
Step-by-step explanation:
Given the following data;
Distance = 22,200,000 km.
Time = 1230 Earth days
To find the average speed of the planet;
First of all, we would have to convert the time in Earth days to hours;
1 Earth day = 24 hours
1230 Earth day = x
Cross-multiplying, we have;
x = 1230 * 24
x = 29520 hours
Therefore, time = 29520 hours
Substituting into the formula, we have;
Speed = 22200000/29520
Speed = 7520.325 km/h
To 3 significant figures;
Speed = 7520 km/h