which expressions are equal to 50Σn(n+6)?
Answer:
S(n)=(25/3)n(n+1)(2n+19)
Step-by-step explanation:
sum_(n=1)^k n (6 + n) = 1/6 k (k + 1) (2 k + 19)
[tex]sum_(n=1)^k n (6 + n) = (1/6) k (k + 1) (2 k + 19)\\50(1/6) k (k + 1) (2 k + 19)\\=(25/3)k (k + 1) (2 k + 19)[/tex]
This is the equation in general:
substitute n for sum from 1 to n
For sum from k to n, substitute:
S(n)-S(k-1)
Answer:
Part 1: B and D
Part 2: C
Part 3: 50575
Step-by-step explanation:
If a building project takes 12 men to be completed in 54 days how many days will 9 men take to make it.
Answer:
y=72
Step-by-step explanation:
k= xy [ inverse variation]
k= 12 x 54
= 648
k= xy
648=9y
y = 648/ 9 = 72
I hope im right!!
Milan raises dairy cow he has 165cows.Each cow produced2 gallons of milk every day.How many gallons did the cows produce per day,show solution using grid method
Answer:
Cows produce milk per day = 330 gallons
Step-by-step explanation:
Given - Milan raises dairy cow he has 165 cows. Each cow produced
2 gallons of milk every day.
To find - How many gallons did the cows produce per day ?
Show solution using grid method.
Proof -
Given that,
Total cows Milan raises = 165
Now,
Given,
1 cow produce milk = 2 gallon
⇒ 165 cows produce milk = 165 × 2 gallons
Now,
By using grid method , we have
165 × 2
X 100 60 5
2 200 120 10
⇒ 165 × 2 = 200 + 120 + 10 = 330 gallons
∴ we get
Cows produce milk per day = 330 gallons
Round 15.92453786 to the nearest thousandths
Answer:
15.925
Step-by-step explanation:
$400 interest is earned on a principal of $2,000 at a simple interest rate of 5% interest per year. For how many years was the principal invested?
Answer:
4 years
Step-by-step explanation:
Given data
Simple interest= $400
Principal= $2000
Rate= 5%
The simple interest formula is given as
SI=PRT/100
substitute and solve for T
400=2000*5*T/100
cross multiply
400*100= 10000*T
40000=10000T
T= 40000/10000
T= 4 years
Hence the time taken is 4 years
Consider circle O below. The length of arc BA is 8.4 cm and the length of the radius is 8 cm. The measure of angle AOC is 45°. Circle O is shown. Line segments B O, A O and C O are radii with length 8 centimeters. The length of arc B A is 8.4 centimeters. Angle A O C is 45 degrees. Rounded to the nearest whole degree, what is the measure of angle BOA? ° Rounded to the nearest tenth of a centimeter, what is the length of arc BAC? cm
Answer:
i) 60°
ii) 14.7 cm
Step-by-step explanation:
length of Arc BA = 8.4 cm
length of radius = 8 cm
angle AOC = 45°
BO = AO = CO = 8 cm
i) What is the measure of Angle BOA
= length of Arc BA / Radius
= 8.4 / 8 = 1.05 radians = 60.16° ≈ 60°
ii) what is the length of arc BAC
= radius * angle BAC * [tex]\pi /180[/tex]
angle BAC = angle AOC + angle BOA
= 45° + 60° = 105°
hence length of arc BAC
= 8 * 105 * [tex]\pi /180[/tex]
≈ 14.7 cm
Answer:
Rounded to the nearest whole degree, what is the measure of angle BOA?
60
°
Rounded to the nearest tenth of a centimeter, what is the length of arc BAC?
14.7
Step-by-step explanation:
edge 2021
i need help please i really don’t get it
Answer: no se ve bien
Step-by-step explanation:
mucha ilumnacion
Help!
What is the missing term? What is the rule? 7 1/5 , 5 13/15 , _______, 3 1/5, 1 13/15
Answer:
4 8/15
Step-by-step explanation:
The rule is subtract 1 2/6 from the number (n):
(in equation) x = n - 1 2/6
Area of shape please help
Answer:
i think its 230cm but i could be wrong let me know
Step-by-step explanation:
Catherine put $5500 into a savings account that earns 4% compound
interest monthly. After six months, how much money will she have total?
Quotient of a number and 3 increased by -7 Equals negative 144
Answer:
x = -411
Step-by-step explanation:
Number = x
Quotient of a number and 3 : [tex]\frac{x}{3}[/tex]
(x/3) increased by (-7) : [tex]\frac{x}{3}+ (-7)[/tex]
[tex]\frac{x}{3} -7 = - 144\\\\\frac{x}{3}= -144 + 7\\\\\frac{x}{3}= -137\\\\x = -137*3[/tex]
x = - 411
Answer:
-411
Step-by-step explanation:
x / 3 + -7 = -144
x / 3 = -144 + 7
x = -137 x 3
x = -411
Hope that helps!
Show work please and correct
Answer:
[tex] - \frac{1}{2} [/tex]
its down 1 over 2 each time
Help me pls djejefjcskaeddn
Answer:
Step-by-step explanation:
1 Yes they are right angles, it is a right angle because you solve it with a Sine equation
2 the hypotenuse is the longest side
3. If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.
HELP ASAP.!!!!!!! Jahlil is saving money at a constant rate to buy a new TV. After saving for $3$ months, Jahlil has $\$330$ . After saving for $5$ months, Jahlil has $\$510$ . Construct a function that models the relationship between the amount of money Jahlil has saved and the number of months he has saved for. Show or explain how you constructed the function. Respond in the space provided.
Answer:
y=90x+60
Step-by-step explanation:
x=months
y=dollars
Find dollars/month by finding the slope.
(3, 330), (5, 510)
-> (510-330)/(5-3) -> 90
Since its a constant rate, the function will be in the form, y=mx+b, and since we found the slope we can plug m=90.
y=90x+b
To find be, we simply substitute one of the points.
330=90(3)+b
b=60
Thus, plugging it in,
y=90x+60
can someone help, please?
Answer:
No
Step-by-step explanation:
(4, 10)
y ≤ 2x + 1
To determine if (4, 10) is a solution to the inequality, we want to plug in the given values.
10 ≤ 2(4) + 1
[multiply] 10 ≤ 8 + 1
[add] 10 ≤ 9
Determine if this statement is true.
10 is greater than 9; therefore (4, 10) is not a solution to this inequality.
Hope this helps!
Answer:
No
Step-by-step explanation:
If you plug in 10 for y and 4 for x, you will get 10 ≤ 9 which is false.
What is the angle measure of each angle (2x) degrees and x degrees
Answer:
x = 30
2x = 60
Step-by-step explanation:
2x + x = 90
3x = 90
x = 30
2(30) = 60
A rational function g is given below. Find all values of a for which g(a)=16. g(x)=(4)/(x+1)+(20)/(x^(2)+2x+1)
Answer:
a = 2/3
Step-by-step explanation:
(4(x+1) + 20 )/(x+1) = 16
4x + 4 + 20 = 16x + 16
12x = 8
x = 2/3
jennifer is a wedding planner. She set up five chairs at each table for the reception. If( t )represents the number of tables, which of the following expressions represents the total number of chairs that she set up?
A. 5 + t
B. t + 5
C. 5t
D. t - 5
Answer:
C. : 5t
--
Once we find out the number of tables at the reception, we can then multiply the number of tables to 5t.
what is x and y. help plz!!!!!!!
Answer:
x = 11
y = 1
Step-by-step explanation:
N : M
8 : 1
8 N = 1 M
since there is 1 M per every 8 N, y would be 1
to find x, just take 88 and divide it by 8 to get 11
The original perimeter of a rectangle is 30cm, if we enlarge it by a scale factor of 4
what is the new perimeter?
120
1920
480
Maggie uses 6.9 pints of white paint and blue paint to paint her bedroom walls. 3 5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer:
2.76 pints
Step-by-step explanation:
Given that:
Tottal amount of paint used = 6.9 pints
The faction of white paint used = 3/5
Hence, Amount of white Paint used :
3/5 * 6.9 = (3 * 6.9) / 5 = 4.14 pints of white paint.
Pints of blue paints used :
Total pints - pints of white used
6.9 - 4.14 = 2.76 pints of blue paint
how to factor a polynomial in the form p^2-m^2
HELP!!
Answer: if you are going to put it like p^2-m^2 no one going to have that answer so I need the p and the m like for example the p=5 and the m=4
Step-by-step explanation: so it going to be like
Evaluate for m=4,p=5
5^2−4^2
=9
So I can’t answer how you put it
Write the slope-intercept form of the linear equation of a line with slope of -3/4 and a y intercept of (3,0)
Answer:
y= -3/4 +3
Step-by-step explanation:
slope-intercept form formula is y=mx+b
mx= slope
b= y-intercept
Therefore, if you input the numbers into the equation it is
y=-3/4 +3
it is 3 because this point is located at 3 on the y-axis
ANSWER THIS ASAP I ONLY HAVE 12 MINUTES!!! What inequality is represented by this graph?
Answer: B, is the answer
Step-by-step explanation:
The way that the line goes from 6 is represented by the equation
Answer:
x less than 6
Step-by-step explanation:
the line is going down from six and six isnt filled in so it couldnt be equal to 6
need help, tyyyyyyyy
Answer:
$30
Step-by-step explanation:
s = shorts
t = tshirts
s + 2t = 60
s + 3t = 75
s + 2t = 60
rewrite
-2t -2t
s = 60 - 2t
s + 3t = 75
plug in
(60 - 2t) + 3t = 75
solve
60 - 2t + 3t = 75
60 + t = 75
-60 -60
t = 15
s + 2t = 60
plug in
s + 2(15) = 60
s + 30 = 60
-30 -30
s = 30
what kind of angel is it?
Answer:
90°> =Acute
90°< =Obtuse
(90°= )= Right
Explain the difference in meaning between 8^2 +2^2 and (8 + 2)^2?
8^2 +2^2 is 68 because you only square the integer. In (8 + 2)^2, you square the product of the equation.
Answer:8^2+2^2=68 and (8 + 2)^2=100
Step-by-step explanation:
8^2+2^2
=64+2^2
=64+4
=68
(8+2)^2
=10^2
=100
1) d=rt
d = distance traveled by a moving object
r = rate of speed
time the object travels
t = time the object travels
Your first stop is in Bend, which is 122 miles away. How
fast do you need to travel in order to make it there in 3
hours?
Answer:
41 mph
Step-by-step explanation:
122 = 3r
r = 40 2/3 mph
an article is marked 60% above c.p and sold at 20% discount.Find the profit percent made.
Answer:
40%
Step-by-step explanation:
If f(x)=2x−3 and g(x)=4x+5, what is (f⋅g)(x)?
A)(f⋅g)(x)=8x−15
B)(f⋅g)(x)=6x+2
C)(f⋅g)(x)=8x2+22x−15
D)(f⋅g)(x)=8x2−2x−15
9514 1404 393
Answer:
D) (f⋅g)(x)=8x2−2x−15
Step-by-step explanation:
(f·g)(x) = f(x)·g(x) = (2x -3)(4x +5) = 2x(4x +5) -3(4x +5)
= 8x² +10x -12x -15
(f·g)(x) = 8x² -2x -15