The sum of the first n terms of a sequence is given by Sn = 3m+1 - 6
3.1.
Determine the sum of the first 12 terms.
Answer:
i need points sry i needa ask a question
Step-by-step explanation:
inverse equation t=120r/r+120 R=???
9514 1404 393
Answer:
r = 120t/(120-t)
Step-by-step explanation:
Multiply by the denominator, isolate r terms, then divide by the coefficient of r.
[tex]t=\dfrac{120r}{r+120}\qquad\text{given}\\\\t(r+120)=120r\qquad\text{multiply by $(r+120)$}\\\\120t=120r-tr\qquad\text{subtract $tr$}\\\\\dfrac{120t}{120-t}=r\qquad\text{divide by the coefficient of $r$}\\\\\boxed{r=\dfrac{120t}{120-t}}[/tex]
Need help!!!! PLZ I don't know
Answer:
Step-by-step explanation:
First factor the polynomials and reduce the fractions.
5) pls help I have the answers but I need to show the work
Determine the value of tan(C)
Answer: d
Answer:
D
Step-by-step explanation:
To find Tan of something, the equation if TOA
T = tan
O = opposite
A = adjacent
so
TOA = tan C = [tex]\frac{opposite} {adjacent} \\[/tex]
tan c = [tex]\frac{24} {7}[/tex] or 24/7
Answer:
d is the correct answer
Step-by-step explanation:
d is the correct answer
The scores on a mathematics exam have a mean of 70 and a stadard deviation of 7. Find the x-value that corresponds to the z-score -1.45.
Answer:
59.85
Step-by-step explanation:
The scores on a mathematics exam have a mean of 70 and a stadard deviation of 7. Find the x-value that corresponds to the z-score -1.45.
We solve the above question using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 70
σ is the population standard deviation = 7
z = -1.45
Hence:
-1.45 = x - 70/7
Cross Multiply
-1.45 × 7 = x - 70
-10.15 = x - 70
x = -10.15 + 70
x = 59.85
PLEASE HELP ASAP WILL GIVE 25 POINTS PLUS WILL MARK AS BRAINLIEST PLEASE EXPLAIN ANSWER TOO!
Answer: 5.1
Step-by-step explanation:
use SOHCAHTOA
so its y/8 = cos(50)
y= cos(50) x 8
y = 5.1
Hope this helps!!
a man's basic wage for a 40 hour week is $160.00. he is paid $5.00 per hour for overtime. if he works 6 1/2 hours overtime in a certain week, his wage for that week is
Answer:
46 1/2 *5.00
232.5 = $232.50
Step-by-step explanation:
The man's basic wage for the week is A = $ 192.50
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The man's basic wage for a 40 hour week is $160.00. This means that his hourly rate is:
$160.00 / 40 hours = $4.00 per hour
For the overtime hours, he is paid $5.00 per hour. So, for the 6 1/2 hours of overtime, he will earn:
6.5 hours x $5.00/hour = $32.50
On simplifying the equation , we get
To find his total wage for the week, we need to add his basic wage to his overtime pay:
Total wage = Basic wage + Overtime pay
Total wage = $ 160.00 + $ 32.50
Total wage = $ 192.50
Therefore, the man's wage for that week is $ 192.50
Hence , the equation is A = $ 192.50
To learn more about equations click :
https://brainly.com/question/19297665
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Can someone help me? The first person to get it correct gets brainliest.
If the cost of petrol is R10,05 per litre, calculate how far the
car will be able to travel if R150,00 worth of petrol is filled in the car.
Answer:
I dont know lol...........
PLEASE ANSWER THIS FAST-Name the angles and sides of each pair of triangles that are congruent.
Answer:
1. Gh is congruent to Gh. Hf is congruent to HL. Gf is congruent to GL. Angle G is congruent to angle G. Angle h is congruent angle h. Angle F is congruent to angle L.
2. Cb is congruent to Jk. Bd is congruent to KL. Cd is congruent to JL. Angle c is congruent to angle j. Angle b is congruent to angle j. Angle d is congruent to angle L.
3. Wx is congruent to Dc. Xy is congruent to Cy. Wc is congruent to Dy. Angle w is congruent to angle d. Angle c is congruent to angle x. Angle y is congruent angle y.
Tip: Label the statement 1 , 2, 3 and do the same to the other one. It will make your life so much easier.
Alana bought a treadmill for $750. When she sold the treadmill she made a loss of 25%. What price did she sell the treadmill for?
Answer:
Selling Price=$562.50
Step-by-step explanation:
Given cost price of the treadmill= $750
Loss% = 25%
We know, the formulae for selling price = (100 -loss%) X cost price/100
= (100 - 25)X 750/100
= (75)750/100
= 75 × 750/100
= $562.50
question in photo—————————-
Answer:
there is two solutions to that problem. you can find x is equal to two numbers.
How many ounces in 5 gallons?
O A. 128 ounces
O B. 320 ounces
O C. 640 ounces
O D. 1280 ounces
please hhelp I'll be posting a lot of questions ;-;
plz help, I will mark brainliest
A truck can carry a 3.5 ton load. How many packs of roof shingles weighing 80 lb each can it carry?
Answer:
25
Step-by-step explanation:
it can carry 25 packs of shingles because
1 ton = 2000 ponds
and 80 can go into 2000 25 times
hope this helps!
someone please help me
Answer:
can't see the question ⁉️
WHOEVER ANSWERS CORRECTLY AND EXPLAINS WELL GETS TO BE BRAINLIEST HURRY James can finish a job in 1.5 hours. Jane can finish the same job in one hour. How long will it take them to finish this job if they work together?
Answer:
36 minutes. I hope this helps! :)
Please I need help please!!!!!!!
Answer:
1/3= 137.51 so b
Step-by-step explanation:
Answer:
B, θ=137,51°Step-by-step explanation:
[tex]\alpha =\frac{l}{r}[/tex]
alpha are the angle in radian.
l= lenght of de arc=12cm
r=radius=5cm
[tex]\alpha =\frac{12}{5} \\\\[/tex]
Converting the radian angle to degrees:
α--->θ
π--->180°
θ=(180°*α)/π
using the fact that: α=12/5
θ=(180°*12)/5
θ=432°/π
θ=137,5098°
θ=137,51°
There are 15 counters. One-third of the counters are yellow. How many
counters are yellow? *
Answer:
3
Step-by-step explanation:
15*1/5= 3
Marty has a driveway that is 200 feet long. The tires on her car have a diameter of 18 inches. What is the fewest number of tire rotations a tire will make tot travel the entire distance of the driveway?
The the fewest number of tire rotations is 42 to travel the entire distance of the driveway.
It is given that the driveway that is 200 feet long and the tire diameter is 18 inches.
It is required to find the fewest number of tire rotations a tire will make to travel the entire distance of the driveway.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
Driveway length = 200 feet
Diameter of the tire = 10 inches
For converting it to feet divide by 12.
Now the diameter of tire = 18/12 = 1.5 feet
Radius of the tire = 0.75 feet
We know the perimeter of the circle:
[tex]\rm P = 2\pi r[/tex]
P = 2(π)(0.75)
P = 4.71 feet ( π =3.14 and P = 0.75)
[tex]\rm number \ of \ tire \ rotations = \frac{Driveway \ length}{Perimeter \ of tire}[/tex]
[tex]= \frac{200}{4.71}[/tex]
Number of tire rotation = 42.462 ≈ 42
Thus, the the fewest number of tire rotations is 42 to travel the entire distance of the driveway.
Learn more about circle here:
brainly.com/question/11833983
Please simplify the expression to standard form:
−1/2(8x −4) + (−5 + 3x)
You have $15. a. How much money do you have left if you ride each ride once? You have $ left. b. Do you have enough money to ride each ride twice? Explain. It costs $ to ride each ride once, and you have $ left.
Answer:
a.) Money left = $1
b) No
Step-by-step explanation:
Given - You have $15. It costs $ to ride each ride once,
To find - a. How much money do you have left if you ride each ride once?
b. Do you have enough money to ride each ride twice? Explain.
Proof -
As it is not given in the question that, how much cost to ride each ride once.
Let us assume that,
The cost for each ride = $2
Total rides = 7
Now,
Total money we have = $15
a.)
Given, cost for 1 ride = $2
⇒ Cost for 7 rides = 7×$2 = $14
∴ Money left = $15 - $14 = $1
b.)
Given,
Cost for 1 ride = $2
Cost of 1 ride if we ride twice = 2×$2 = $4
Cost of 7 rides if we ride twice = 7×$4 = $28
As $28 > $15
So, we cannot ride each ride twice.
Find the value of x and y.
Answer:
x= 73
y= 13
Step-by-step explanation:
The sum of the angles opposite the exterior angle = the exterior angle so
x= 141-68
x= 73
The angle sum of a triangle= 180.
180-68-73= 39
since there are 3 "y"s we need to divide 39 by 3
39/3= 13
find the area of the regular polygon with the given apothem a and side length s. a=28. s=18.2 round to the nearest decimal place as needed
The formula for finding the area of any regular polygon if you know the length of one side and the apothem: A = (n × s × a)2 A = ( n × s × a ) 2 , where n is the number of sides, s is the length of one side, and a is the apothem.
PLZZZ HURRYY. i will thank you. Q- Explain the transformations that map the polygon A to polygon B.
Find a10 of the sequence 4, 28, 196, 1372
*Formula: a_n=a_1r^{n-1}a
n
=a
1
r
n−1
Answer:
[tex] \purple { \bold{ a_{10}=161414428}}[/tex]
Step-by-step explanation:
Given sequence is: 4, 28, 196, 1372
28/4 = 7
196/28 = 7
1372/196 = 7
Since, the ratio of any two consecutive terms is same, so it is a geometric sequence.
Therefore,
Common ratio r = 7
First term a = 4
nth term of a geometric sequence is given as:
[tex]a_n=ar^{n-1} \\ \\\implies \\ \\ a_{10}=4.7^{10-1} \\ \\ a_{10}=4.7^{9} \\ \\ a_{10}=4.7^{9} \\ \\ a_{10}=4(40353607) \\ \\ \red{ \bold{ a_{10}=161414428}}[/tex]
) The diagram shows a quadrant of a circle . If the curved edge is 15 cm long, what is the length of a straight edge?
Answer:
9.55 cm
Step-by-step explanation:
A quadrant of a circle is 1/4 of a circle.
Since the curved edge is 15 cm, a full circle would be 60 inches.
60/Pi = diameter
diameter = 60/3.14 = 19.11 cm
diameter/2 = radius
radius = 19.22/2 = 9.55 cm which is the length of a straight edge.
Write a system of linear equations for the problem below(you do not have to solve it) Twenty-six students attended the community service event. The number of girls was 4 fewer than twice the number of boys. How many boys attended the community service event?
Answer:
Number of boys who attended the community service event = 10
Step-by-step explanation:
Let [tex]x[/tex] denotes number of girls and [tex]y[/tex] denotes number of boys.
Twenty-six students attended the community service event.
So,
[tex]x+y=26[/tex]
The number of girls was 4 fewer than twice the number of boys.
[tex]x=2y-4[/tex]
Put [tex]x=2y-4[/tex] in [tex]x+y=26[/tex]
[tex]2y-4+y=26\\3y=26+4\\3y=30\\y=10[/tex]
So,
Number of boys who attended the community service event = 10
∠3 and ∠6 are _______ angles
Alternate interior angles are congruent. so ∠3 = ∠6 -------> by alternate interior angles.
________________
Hope this makes sense!
-Lexi
2 The length of this rectangle is x cm.
a The width of the rectangle is 2 cm less than the length.
Write down an expression for the width of the rectangle, in centimetres.
b The perimeter of the rectangle is 84 cm. Write down an equation to show this.
c Solve the equation.
d Find the area of the rectangle.
Answer:
a. The width of the rectangle is x-2cm
b. length is 21.5 cm and breadth is 19.5cm
c. area is 419.25 cm sq.
Step-by-step explanation:
Let the length be x and the breadth be x-2
perimeter = 84 = 2(l+b) = 2×(x+x-2)
2×(2x-2)=84
4x-2 = 84
4x = 86
x= 86/4
x= 21.5
length is 21.5 and breadth is 21.5-2 = 19.5
area = l×b
= 21.5 ×19.5
= 419.25cmsq.
hope it helps