Answer:
13th term = 47
General term: Tn = 11 + 3(n-1)
Sum of the first 40 terms = 2780
Question:
Find the thirtieth term of the arithmetic progression of difference 3 and the first term 11. Find the general term of the progression and the sum of the first forty terms.
Step-by-step explanation:
Common difference (d)= 3
First term = a = 11
Find attached the solution of problem.
The equation of line a is y=-1/4x+3 if line b runs perpendicular theough (2,6) what would be the equation of line b ?
Answer:
The formula of this perpendicular line is y = 4x - 2
Step-by-step explanation:
In y = -1/4x+3 the gradient is -1/4.
If two lines are perpendicular, then their gradients will multiply together to give -1.
Use this to find the gradient a of the perpendicular line.
-1/4 * a = -1
a = -1 * -4 so the gradient a of the perpendicular line = 4.
Substitute (2,6) in y = 4x + b, to find the value of b.
y = 4x + b
(2,6)
6 = (4*2) + b
b = 6 - (8)
b = -2
So now we have our equation.
The formula of this perpendicular line is y = 4x - 2
2 rectangular prisms. One prism has a length of 6 meters, width of 5 meters, and height of 5 meters. The other prism has a length of 4 meters, width of 5 meters, and height of 7 meters.
What is the volume of the figure?
116 m3
190 m3
290 m3
390 m3
Answer:
the answer is 290 m3 i hope you guys have a good day today <3
Answer:
C
Step-by-step explanation:
edge
Terry's investment of $2,200 in the stock market earned $528 in two years. Find the simple interest rate for the investment
Answer:
24%
Step-by-step explanation:
Answer:
24%
Step-by-step explanation:
t = ???
P = 2,200
I = 528
r = 12%
528 = 2,200(t x 1)
t = 528/2,200
t = 0.24
t = 0.24 x 100 = 24%
You're welcome.
What is 1200 milligrams converted into grams
Answer:
The answer is 1.2 grams.
Step-by-step explanation: So 1,000 milligrams is 1 gram. So to get this answer you divide 1200 milligrams by 1000 and that gives you 1.2 grams for 1200 milligrams.
The perimeter of a rectangle is 19 centimeters. Its length is 6 centimeters. What is its width?
Answer:
3.5 cm
Step-by-step explanation:
Perimeter of rectangle = 2 × (w + h)
w = width
h = height
We have: 2 x (w + 6) = 19
w + 6 = 19 : 2 = 9.5
w = 9.5 - 6 = 3.5 (cm)
PLEASE HELP WILL GIVE BRAINLIESTT
Answer:
8
Step-by-step explanation:
I -5 I = 5
I -3 I = 3
5+3=8
really need brainliest!!
Answer:
8 and pls give brainliest to the other person
A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round answers to nearest tenth. The diameter for the semicircles is 10
Answer:
39.275
Step-by-step explanation:
the diameter of the semicircle is 10
A semicircle is half a circle, and a quarter circle is 1/4 of a circle.
Perimeter of a semicircle is ¶d/2
= 3.142 x 10/2 = 3.142 x 5 = 15.71
For 2 semicircles that will be 15.71 x 2 = 31.42
For the quarter circle, perimeter is ¶d/4 = 3.142 x 10/4 = 3.142 x 2.5 = 7.855
Total perimeter = 31.42 + 7.855 = 39.275
There are
18 girls and
22 boys in a class,one
of them has a letter. The probability that
the
owner
of the letter is a boy is
How many tangents that are common to both circles can be drawn?
A.1
B.2
C.3
D.4
Answer:
D. 4
Step-by-step explanation:
If there are 2 circles drawn in space but not intersecting each other or touching each other at all, there are 4 common tangents.
I hope this helped and have a good rest of your day!
Help with math HW please:
A painted water tower is shown. What percent of the surface area of the water tower (not including the surface underneath the tower) is green? Round your answer to the nearest tenth of a percent.
Step-by-step explanation:
The said tower is not shown.
But to find the percentage of the surface area that is green, since this excludes the surface area underneath the tower, we find the surface area of the total area subtract the surface area underneath the tower, calculate the surface area that is green, divide this last result by the surface are of the whole area that doesn't include underneath the tower, and multiply by 100. This is the percentage we are looking for.
9 x minus 10 = 3 x + 2
Answer:
x=2
Step-by-step explanation:
9 x - 10 = 3 x + 2
Subtract 3x from each side
9 x -3x- 10 = 3 x-3x + 2
6x -10 =2
Add 10 to each side
6x-10+10=2+10
6x = 12
Divide each side by 6
6x/6 = 12/6
x = 2
Answer:
x = 2
Step-by-step explanation:
9x - 10 = 3x + 2
9x - 3x = 2 + 10
6x = 12
x = 12/6
x = 2
hope it helps!
Calculate the volume of the solid
Answer:
48cm³
Step-by-step explanation:
Volume of a Triangular Prism Formula
Is used To Find the 3-D space/ volume occupied by a triangular prism.
V=1/4h√((c+a−b)(a+b−c))× √((a+b+c)(b+c−a))
side length a = 4
side length b = 5
side length c = 3
prism height h = 8
V=1/4h√((c+a−b)(a+b−c))× √((a+b+c)(b+c−a))
V=1/4(8)√((3+4−5)(4+5−3))× √((4+5+c3)(5+3−4))
V= 48cm³
There are 128 competitors in a tennis tournament. If Milo places in the 85th percentile, how many people
placed above him in the final rankings?
A)109
B)21
C)103
D)19
I don’t know can somebody help me out
Answer:
B and D
Step-by-step explanation:
negative and negative make positive so look for the positive answers
HELPPPPP I HAVE NO CLUE ON WHAT TO DO
Answer:
B 86
Step-by-step explanation:
ABCD = EFGH
A = E
B = F
C = G
D = H
Mei is carrying seven pages of math homework and six pages of English homework.A gust of wind blows the pages out of her hands and she is only able to recover seven random pages what is the probability that she recovers exactly three pages of her math homework
Answer:
probability of recovering exactly 3 pages of homework = 35/286
Step-by-step explanation:
She carries seven pages of math homework and six pages of English.
Thus, total pages = 7 + 6 = 13 pages.
Now, wind blows all the 13 pages out of her hands, we want to find out the probability of recovering exactly 3 pages of homework.
There are a total of 7 pages of maths homework from the question.
Thus,
First page = 7/13
Second page = 6/12
Third page = 5/11
So,probability of recovering exactly 3 pages of homework = (7/13) * (6/12) * (5/11) = 35/286
Which tree diagram shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that has four sides labelled 1 through 4?
The answer is D.
For a toss of heads you can have a roll of 1, 2, 3 or 4.
and for a toss of tails you could have a roll of 1, 2, 3, or 4
Find the area of a circle with (a) a radius of 9.2 centimeters and (b) a diameter of 50.5 inches.
Round your answers to the nearest hundredth.
Answer:
Circle A: 265.9 cm²
Circle B: 2002.96 inches²
Step-by-step explanation:
Hi there!
Circle A
[tex]A=\pi r^2[/tex] where r is the radius of the circle
Plug in the radius 9.2 cm
[tex]A=\pi (9.2)^2\\A=84.64\pi \\A=265.90[/tex]
Therefore, the area of the circle is 265.9 cm² when rounded to the nearest hundredth.
Circle B
[tex]A=\pi (\frac{d}{2}) ^2[/tex] where d is the diameter of the circle (because radius=diameter/2)
Plug in the diameter 50.5 inches
[tex]A=\pi (\frac{50.5}{2}) ^2\\A=\pi (25.25) ^2\\A=637.5625\pi \\A=2002.96[/tex]
Therefore, the area of the circle is 2002.96 inches² when rounded to the nearest hundredth.
I hope this helps!
Help pleaseee: A rectangular prism is shown below with edges of 1, 6, and 4 units. If a diagonal runs from point A to point B, how many units long is diagonal AB ?
Answer:
the answer is [tex]\sqrt{53}[/tex]
Step-by-step explanation:
Answer:
Second option
Step-by-step explanation:
Diagonal² = 6² + 4²
Diagonal² = 52
AB² = diagonal² + 1²
AB² = 52 + 1
AB² = 53
AB = sqrt(53)
Find the measures of a positive angle and a negative angle that are coterminal with each given angle. Part 2.
8. θ = -25°
9. θ = -390°
Answer:
8. -385°, 335°
9. -30°, 330°
Step-by-step explanation:
8. θ = -25°
-25-360 = -385°
-25+360 = 335°
9. θ = -390°
-390+360 = -30°
-30+360 = 330°
A cube with a volume of 64 cubic meters is scaled by factor of 5.what is the volume of cube in cubic meters?
Juanita spent $9 on each of her 6 grandchildren at the fair. How much money did she spend? Juanita gastó $9 en cada uno de sus 6 nietos en la feria. ¿Cuánto dinero gastó Juanita?
Answer:
$54
Step-by-step explanation:
she had 6 grandchildren and she used $9 for one grandchild so we multiply
9 x 6 = $ 54
Antonio has a CD-player that holds six CDs. He puts six different CDs in the player and the CD player randomly plays a song from any of the CDs. What is the probability that the CD player will play the first song from the first CD and the first song from the sixth CD? Write your answer as a fraction.
Answer:
I'm not sure if this is correct, but I would say 2/6. You could further simplify that to 1/3
Step-by-step explanation:
There are 6 CDs, and it is asking the probability that it will play the first song from the first CD, and the first song from the first song from the 6th CD. That is where we get our 2.
Sorry if that was a bad explanation, I have trouble with explaining stuff.
Let me know if this is correct or not-
Answer:
one over six.
Step-by-step explanation:
If the player only play a CD one time.
Then let one decided by six.
Therefore the answer as a fraction is one over six.
Which rule best describes the following pattern?
8, 4, 10, 6, 12, 8, 14, ...
Answer: It decreases by four then go up by six or increase by 6.
Step-by-step explanation:
It shows the alternating increased by 2
It decreases by four then go up by six or increases by 6.
We have given the pattern is
8, 4, 10, 6, 12, 8, 14, ....
We can see that
the first number is 8 and the second is 4
8>4
from 8 to 4 it is decreasing and the 4 to 10 it is increasing and again after 10 it is decreasing a.
What is the meaning of increasing?Increasing means there is a second number is greater than the first number third number is greater than the second number and so on.
There is two pattern
8,10,12,14....
Increasing by 2
4,6,8.....
Increasing by 2
Therefore it shows the alternating increased by 2.
To learn more about the series visit:
https://brainly.com/question/14883923
#SPJ2
A company has found that the number of items sold, x, depends upon
the price, p at which they're sold, according the equation
X=14400-3p^2
The price has been increasing by $2 per month. Find the rate at which
revenue is changing when the price is $40. Note: the answer might be
negative
Answer: -$480
Step-by-step explanation:
The revenue us P*x
now, when P = $40, we have:
X = 14400 - 3*40^2 = 9600
then the revenue is:
9600*$40 = $384000
now, the price increaces by $2 so the new equation is:
X = 14400 - 3*42^2 = 9108
The revenue is:
9109*$42 = $382536
You can see that the revenua is smaller than before.
Now, if we want to calculate the rate of change when p = $40, we need to look at X'(40)
this is:
X´(p) = -3*2*p
then:
X'(40) = -3*2*40 = -120
Theh rate of change of the revenua will be:
X'(40)*$40 = -120*$40 = -$480
if the probability that is will rain is 0.7 what is the probability that it will not rain?
Answer: I think it's 0.3
Answer:
30 %
Step-by-step explanation:
if the probability that it will rain is 0.7, there is a 0.3 or 30 % chance that it will not rain.
How do I convert 1.00 into a fraction?
Answer:
[tex]\frac{10}{10}[/tex] (10/10)
Step-by-step explanation:
to convert 1.00 into a fraction you have to write 1.00 as numerator and put 1 as the denominator.
then, you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
1.00 = 1.00/1 = 10/10
A survey showed that 7/15 of a class liked soccer and 2/5 liked baseball. Which sport was liked less?
Answer:
baseball my guy
Step-by-step explanation:QUICK MATHS
Answer: baseball is liked less
Step-by-step explanation: its liked less because the common denominator is 15 and whatever you times the bottom by you times the top by. so 2/5 x 3= 6/15<7/15 hope that helped!:)
Find the first four terms in the sequence an=15+6n.
A. 18, 12, 6, 0
B. 20, 26, 32, 38
C. 21, 27, 33, 39
D. 20, 14, 8, 2
The first four terms in the sequence an=15+6n are 21, 27, 33, and 39.
The correct option is C. 21, 27, 33, 39
From the question, the equation to calculate the nth term is given which is
an=15+6n.
Now, let a1, a2, a3 and a4 denote the first, second, third and fourth terms respectively.
For the first term, a1
n = 1,
From the given equation, an=15+6n
∴ a1 = 15 + 6(1)
a1 = 15 + 6
a1 = 21
∴The first term is 21
For the second term, a2
n = 2,
From the given equation, an=15+6n
∴ a2 = 15 + 6(2)
a2 = 15 + 12
a2 = 27
∴The second term is 27
For the third term, a3
n = 3,
From the given equation, an=15+6n
∴ a3 = 15 + 6(3)
a3 = 15 + 18
a3 = 33
∴The third term is 33
For the fourth term, a4
n = 4,
From the given equation, an=15+6n
∴ a4 = 15 + 6(4)
a4 = 15 + 24
a4 = 39
∴The fourth term is 39
Hence, the first four terms in the sequence an=15+6n are 21, 27, 33, and 39.
The correct option is C. 21, 27, 33, 39
Learn more on sequence here: https://brainly.com/question/24195209
someone help please
Answer:
C
Step-by-step explanation:
If you look at the graph, you notice there is no data to determine the slope, but there (0,b) represents the y-intercept. So my guess is, they give you a clue what the slope is already, but if you notice the y-intercept lowers the linear line a few notches because (0,18) is lower than the (0,30). That is what I would choose as the answer