Answers
Answer:
The third answer is correct
when you plug 1 into the equation
4(1)-9= -5
4(2)-9 = -1
4(3)-9= 3
Step-by-step explanation:
The sigma notation of the given series is [tex]\sum _{j=1}^5\:\left(4j-9\right)[/tex], option C is correct.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The given series is -5+(-1)+3+7+11
The sigma notation of the given series is [tex]\sum _{j=1}^5\:\left(4j-9\right)[/tex]
Now let us check by plugging j values from 1 to 5
When j =1,
4(1)-9= -5
When j =2
4(2)-9 = -1
when j=3
4(3)-9= 3
Hence, the sigma notation of the given series is [tex]\sum _{j=1}^5\:\left(4j-9\right)[/tex], option C is correct.
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Related Questions
Estimation Whool has diameter 15.1 in. Whool II has diameter 12.8 in. Round the diameter of each wheel to the nearest inch. About how much forthor wil Wheell travel in one rotation? Uno 3.14 for
Wheel I will travel about in further in one rotation.
(Round to the nearest integer as needed.)
Answers
Answer:
about 6 inches
Step-by-step explanation:
No 1 goes 15x3.14 = 47.1 inches in one turn
No 2 goes 13x3.14 = 40.82 inches in one turn
47.1-40.82 = 6.28 inches
A large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342. Which statements can be used to write an expression and then find the number of peanuts that ended up in each bag? Check all that apply.
The operation is division.
The operation is multiplication.
The variable is the number of bags.
342 divided by 6 equals 57.
Write the division expression as a fraction, StartFraction p Over 6 EndFraction.
To evaluate, substitute 342 for the variable.
Each bag will have 57 peanuts.
The constant is 342.
Answers
Answer:
Step-by-step explanation:
6 P = 342
To solve the question, you need to divide by 6
You don't multiply
The operation is division
The variable is the number of peanuts in each bag.
The answer is 57
The last two are incorrect.
x/p // 6 / end fraction
start fraction /p * end fraction /6
This doesn't make an awful lot of sense to me. But it is also untrue.
The variable P will never take 342
Answer: True statements
statement 1
Statement 4
2. Nick and Adam workout together. Nick weighs
160 pounds and is gaining about 3 pounds per
week. Adam weighs 195 pounds and is los ng
about 2 pounds each week. Write an equation
that can be used to find the number of weeks
that it will take them to weigh the same amount.
a. Equation:
b. Solution:
c. How much will Nick and Adam weigh?
Answers
Answer:
Equation: 160 + 3x = 195 - 2x
Solution: 7 weeks
Step-by-step explanation:
x is going to stand for the number of weeks
Nick:
160 + 3x
Adam:
195 - 2x
Equation: 160 + 3x = 195 - 2x
Solution: 7
They would weigh 181 pounds
The equation to find when Nick and Adam will weigh the same amount is
160 + 3w = 195 - 2w
It will take 7 weeks for Nick and Adam to weigh the same amount.
After 7 weeks, Nick and Adam will both weigh 181 pounds.
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,
a.
Let w be the number of weeks, then the equation to find when Nick and Adam will weigh the same amount is:
160 + 3w = 195 - 2w
b.
To solve for w, we can simplify the equation:
160 + 3w = 195 - 2w
5w = 35
w = 7
c.
To find how much Nick and Adam will weigh after 7 weeks, we can plug w = 7 into either of the original equations:
Nick's weight = 160 + 3w = 160 + 3(7) = 181 pounds
Adam's weight = 195 - 2w = 195 - 2(7) = 181 pounds
Thus,
The equation to find when Nick and Adam will weigh the same amount is
160 + 3w = 195 - 2w
It will take 7 weeks for Nick and Adam to weigh the same amount.
After 7 weeks, Nick and Adam will both weigh 181 pounds.
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GIVING BRAINLIEST QUICK
Answers
Answer:
2
Step-by-step explanation: 2+5=7
Answer:
Step-by-step explanation:
For the top (cyan/blue)equation x would = 2
For the bottom (orange/red) it could be any. Only you can determine which order you want it but 7 must be the first number!
Have a good day!
In the month of February I spent 37.45 on coffee and a mug.... How many refills did I get?
8.95 +1.50r= Total
Answers
Answer:
7 refills
Step-by-step explanation:
Answer:
So I'm guessing the original price was 8.95 and each refill was 1.50.
8.95 + 1.50r = 37.45
r = 19
You got 19 refills
HELP SOMEONE PLEASE !!!
Answers
Answer:
I dont know
Step-by-step explanation:
what is 3 times 4 times 50
Answers
600 is your awnsrerrrrrrrrrrrrr
Find the missing angle measure. A.360° B.258° C.102° D.90°
Answers
Answer:258
Step-by-step explanation:
I did the same thing and got it right
finding measures of the numbered angles. no explanation.
Answers
A ladder is 6 m long.
The ladder is placed on horizontal ground, resting against a vertical wall.
The instructions for using the ladder say that the bottom of the ladder must not be closer than 1.5 m
from the bottom of the wall.
How far up the wall can the ladder reach?
Answers
Answer:
5.8 m
Step-by-step explanation:
Using the Pythagorean Theorem (a² + b² = c²) you get the equation a² + 1.5² = 6² (or 1.5² + b² = 6²). Then you solve from there and rounding to the first decimal place you get 5.8
The ladder can reach a height of 5.6 meters.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a ladder that is resting against a wall.
Now, assume that the ladder can reach a height of [x] meters. Then when the bottom is at a horizontal distance of 1.5 meters, then we will get a right angled triangle with base = 1.5 m and hypotenuse = 6m. So, using Pythagoras theorem, we can write -
(6 x 6) = x² + (1.5 x 1.5)
x² = (6 x 6) - (1.5 x 1.5)
x² = 7.5 x 4.5
x² = 33.75
x = 5.6 meters
Therefore, the ladder can reach a height of 5.6 meters.
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Find the value of sin theta, if tan theta = 4; 180 < theta <270.
a. -4 (square root)17/ 17
b. -4
c. -1/4
d. (square root)7/ 4
Please select the best answer from the choices provided
Ο Α
O B
О С
O D
Answers
Answer: You can use the identity THE PICTURE THAT I PUT THERE
The sign is negative because the angle is in the 3rd quadrant. This corresponds to ... a. -(4√17)/17
value of sin ( theta ) = -4 (square root of ) 17 / 17
What are Trigonometry Functions ?
Real functions which relate to an angle of a right angled triangle to ratios of two side length.
Given
tan (theta) = 4`
sin(theta) = tan (theta ) / (1 + tan ^ theta)^(1/2)
sin(theta) = 4/(1+(4)^2)^(1/2)
= 4/ (17)^ (1/2)
multiplying and dividing by 17 ^ (1/2), we get
= -4 (17) ^ (1/2) / 17 ( negative since angle is in third quadrant and tan is negative in that quadrant )
option a) -4 (square root of ) 17 / 17
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A car travel 140 miles in 3 hours (with a constant speed). How far can it travel in 7 hours (with the same speed)?
Answers
Answer:
326.666miles
Step-by-step explanation:
v=distance/time (v=d/t)
d=140 miles
t=3hrs
v=d/t, v=140/3, v= 46.666mph
v=46.666mph
t=7hrs
d=?
v=d/t, d=vt, d=46.666mph x 7hrs, d= 326.666miles
(1,5) (-1, 1) translation
Answers
what are the types of polynomial??
Answers
Answer
Monomial, Binomial, and Trinomial
Explanation
Polynomials are algebraic expressions that may comprise of exponents which are added, subtracted or multiplied. Polynomials are of different types. Namely, Monomial, Binomial, and Trinomial. A monomial is a polynomial with one term. A binomial is a polynomial with two, unlike terms. A trinomial is an algebraic expression with three, unlike terms. In the following section, we will study about polynomials and types of polynomials in detail.
What is the 4 letter code?
Answers
2:H
3:C
4:B
Hope this helps :)
(ONLY TWO CAPITAL LETTERS) PLEASE ANSWER CORRECTLY!!!!!! WILL MARK BRIANLIEST!!!!!!!! URGENT
Answers
Answer:
HN congruent to NL
Step-by-step explanation:
They have a line crossing both of them, signifiying congruence.
In ΔLMN, the measure of ∠N=90°, NL = 6.8 feet, and LM = 9.4 feet. Find the measure of ∠L to the nearest tenth of a degree.
Answers
Answer:
L=43.6637≈43.7∘
Step-by-step explanation:
Answer:
43.7
Step-by-step explanation:
SOH-CAH-TOA
cosL= adjacent/hypotenuse=6.8/9.4
cosL=6.8/9.4
L=[tex]cos^{-1}[/tex](6.8/9.4)
L=43.6637≈43.[tex]7^{o\\}[/tex]
Plz help me out xx tysm
Answers
Answer:
see explanation
Step-by-step explanation:
let the number be x , then
[tex]\frac{1}{2}[/tex] x = 44.3 ← is the equation
Answer:
x / 2 = 44.3
Hope that helps!
Step-by-step explanation:
If f(x) = 5x, what is f-1 (x)?
F-1(x) = -5x
F-1(x) =-1/5x
F-1(x) =1/5x
F-1(x) = 5x
Answers
Answer:
The inverse function is y=1/5x, which is option C).
Step-by-step explanation:
y=5x
x=5y
y=x/5
y=1/5x
Answer:
C
Step-by-step explanation:
please l, I really need help like ASAP. my thing ends in 5 minutes!!!!
Answers
Answer:
it would be (-7,-6)
x=-7, y=-6
Step-by-step explanation:
PLS HELP MEEEEE REEEEEEE
Answers
Answer:
$954.78
Step-by-step explanation:
Since it increases by 8.5%, all you have to do is multiply 879.98 by 1.085.
879.98 * 1.085 = $954.7783 = $954.78 (you always have to round to two decimal places with money)
The 6th grade class is going on a Field Trip. The Adult to Student ratio is 2:5. If there are a total of 70 people on the Field trip, how many adults are on the field trip?
Plz Help plz
Answers
Answer:I think it 20 adult to 50 kids
Step-by-step explanation:
Please help ASAP!!!!!!
Answers
Answer:
what are the answer choices. List them out and do the process of elimination and we could go from there ig
Step-by-step explanation:
5.2.PS-14
Find 3 ratios that are equivalent to the given ratio.
10:16
Answers
Step-by-step explanation:
three ratios equivalent to 10:16
5:8, 20:32, 100:160
11. Which of the following statements contains a quotient?
O A.76 = 42
OB. 42 - 6 = 7
O C. 7 + 6 = 13
OD.7 - 6 = 1
Answers
10÷7(19+28)×20÷6=???
Answers
Answer:
109 2/3
Step-by-step explanation:
10 / 7(47) x 20 / 6 =
10 / 329 x 20 / 6 =
32.9 x 20 / 6 =
658 / 6 =
109 2/3
Hope that helps!
Find 11.5% of 221.9. Round to the nearest thousandth.
Answers
Answer:
11.5% of 221.9=11.5/100×221.9=0.115×221.9=25.5185=26
brainllest and 10 pionts PLEASE hurry
Answers
Answer:
(-5,-8)
(or the last choice)
Answer:
D. (-5, -8)
Step-by-step explanation:
(-5, -3), five down would mean -5 to y.
good luck, i hope this helps :)
In ΔRST, the measure of ∠T=90°, the measure of ∠R=56°, and ST = 73 feet. Find the length of TR to the nearest tenth of a foot.
Answers
Answer:
49.2
Step-by-step explanation:
Help Asap i need my work done fast
Answers
Answer:
2. 4
3. 15
4. integer zero
