Find the sum of the first 33 terms of the following series, to the nearest
integer.
2,8, 14, ...
Answer:
3234
Step-by-step explanation:
The series is arithmetic with a common difference = d = 6
First we need to find the 33rd term. Use the formula [tex]a_{n} = a_{1} + (n - 1)d[/tex] where n = 33 and [tex]a_{1} = 2[/tex]
[tex]a_{33} = 2 + (33 - 1)6 = 2 + 32(6) = 194[/tex]
Now the formula for the sum of an arithmetic series is [tex]S_{n} = \frac{n(a_{1} + a_{n} )}{2}[/tex]
So, [tex]S_{33} = \frac{33(2 + 194)}{2}[/tex]
= [tex]\frac{33(196)}{2}[/tex]
= 3234
Help, I didn't get it
If a greyhound can run up to 50mi/h. How long would it take a greyhound to run 10 mi?
Answer:
12 minutes
Step-by-step explanation:
(50miles/60 minutes)/5 = 10 miles/12 minutes
PLEASE HELP WILL GIVE BRAINLIEST
Ari is designing a patio that will be 20 feet long and 16 feet wide. He makes a scale drawing of the patio using a scale of 1 inch to 4 feet.
The ratio of the area of the scaled drawing to the actual area of the patio is 1 square inch to _____ square feet.
A number z squared, decreased by 7
9514 1404 393
Answer:
z² -7
Step-by-step explanation:
A square is indicated using an exponent of 2. "Decreased by 7" means 7 is subtracted.
z squared, decreased by 7 is ...
z² - 7
Nick works two jobs to pay for college. He tutors for $15 per hour and also works as a
bag boy for $8 per hour. Due to his class and study schedule, Nick is only able to work
up to 20 hours per week but must earn at least $150 per week. If t represents the
number of hours Nick tutors and b represents the number of hours he works as a bag
boy, which system of inequalities represents this scenario?
A. t+b = 20
15t + 8b < 150
B. t+b 20
15t + 8b = 150
C. None of the systems shown represent this scenario.
D. t+b = 20
15t + 8b > 150
Answer:The answer is B.
He can't work more than 20 hours so t+b must be less than or equal to 20.
He has to earn $150 so it cannot be less than 150. Theoretically he could earn more, e.g doing 10 hours of each job which equals $230
Therefore t + b less than or equal to 20 15t + 8b greater than or equal to 150
Step-by-step explanation:
Renee bought 7 potatoes at the supermarket. The shortest diameter of each, in centimeters, is shown below
Answer:
2, 3, 4
Step-by-step explanation:
Renee bought 7 potatoes at the supermarket. The shortest diameter of each,
in centimeters, is shown below.
2, 3, 4, 4, 6, 6, 7
After Renee used one potato to make dinner, the median diameter of the remaining potatoes was 5 centimeters. Which of these could be the diameter, in centimeters, of the potato Reneetsed?
Solution:
The median of a group of numbers is the middle number when the group of numbers are arranged in a sorted manner, either ascending or descending.
The median of an even group of numbers, is gotten by taken the average of the two innermost numbers.
Given that the diameter of the potato as:
2, 3, 4, 4, 6, 6, 7
Given that after removing one potato, the median of the remaining potatoes was 5 centimeters.
After removing one potato, the remaining would just be 6. 6 is an even number, hence the median would be the average of the 2 middle numbers.
To get 5 cm, it has to be the average between 4 and 6. This is only possible when a potato of diameter 2,3 or 4 is removed.
If potato with diameter 2 is removed, the remaining is 3, 4, 4, 6, 6, 7.
Median = (4 + 6) / 2 = 5
If potato with diameter 3 is removed, the remaining is 2, 4, 4, 6, 6, 7.
Median = (4 + 6) / 2 = 5
If potato with diameter 4 is removed, the remaining is 2, 3, 4, 6, 6, 7.
Median = (4 + 6) / 2 = 5
PLS HELP COME QUICK!!!!!!!
Determine the pattern rule and then fill in the missing values in the table
Use the Distributive Property
1/2 (2n+6m)
Answer:
n + 3m
Step-by-step explanation:
It will become 1/2 * 2n + 1/2 * 6m = n + 3n
53 - 21 + 62 + (25 ÷ 5)
What is the value of the expression when = 2?
A.
14
B.
48
C.
26
Answer:
48
Step-by-step explanation:
So your equation is: 5y3 - 21 + 6y2 + (25 ÷ 5) and y = 2.
Evaluate for y=2
5(23)−21+6(22)+
25
5
5(23)−21+6(22)+
25
5
=48.
So the answer is 48.
y=-x+7 y=2x+1 solve using equations
Answer:
x=6,y=13
Step-by-step explanation:
Eliminate the equal sides of each equation and combine.
x+7=2x+1
Solve x+7=2x+1
x=6
Evaluate yy when x=6
y=13
The solution to the system is the complete set of ordered pairs that are valid solutions.
(6,13)
The result can be shown in multiple forms.
Point Form:
(6,13)
Equation Form:
x=6,y=13
There are a total of 96 children in Years 4, 5 and 6
37 of these children cannot swim.
11 children in Year 4 cannot swim.
21 children in Year 5 can swim.
There are 30 children in Year 6
18 of these 30 children can swim.
(i) Work out the number of children in Year 4 who can swim.
Answer: 20 children
Step-by-step explanation:
Given
Year 4: 11 cannot swim
Year 5: 21 can swim
Year 6: 18 of 30 can swim
Total 96 children
Total 37 cannot swim
First Step: find the number of people from year 5 who cannot swim
There are 30-18=12 people who cannot swim in year 6There are 11 who cannot swim in year 4Thus, we use the total number [37]-[year 4+year 6]=37-23=14 people who cannot swim in the year 5Second Step: find the number of children in year 5
There are 21 children who can swimThere are 14 children who cannot swim21+14=35 childrenThird Step: find the number of children in year 4 who can swim
There are 30 children in year 6There are 35 children in year 5There are 11 children in year 4 who cannot swimThere are in total 96 children96-30-35-11=20 children in year 4 who can swimHope this helps!! :)
Please let me know if you have any questions
What is this trying to ask me ???
In ∆ABC,
∠A = 60°∠B = 60°BC = 12 units∠BDC = 90°To Find :Area of ∆ABC = ?Solution :As, we have :
∠A = 60°∠B = 60°So, By angle sum property of triangle :
∠A + ∠B + ∠C = 180°
[tex] \tt : \implies 60\degree + 60\degree + \angle C = 180\degree[/tex]
[tex] \tt : \implies 120\degree + \angle C = 180\degree[/tex]
[tex] \tt : \implies \angle C = 180\degree - 120\degree[/tex]
[tex] \tt : \implies \angle C = 60\degree[/tex]
Now, we have :
∠A = 60°∠B = 60°∠C = 60°As, all angles are of same length, therefore it is a equilateral triangle.
We know that sides of equilateral triangle are equal.
[tex] \tt : \implies AB = BC = AC[/tex]
Now, we have BC = 12 units.
Hence, all sides are of 12 units.
Now, we know that area of equilateral triangle is :
[tex] \large \underline{\boxed{\bf{Area_{(equilateral \: triangle)} = \dfrac{\sqrt{3}}{4} side^{2}}}}[/tex]
[tex] \tt : \implies Area = \dfrac{\sqrt{3}}{4} \times (12 \: units)^{2}[/tex]
[tex] \tt : \implies Area = \dfrac{\sqrt{3}}{\cancel{4}} \times \cancel{144} \: units^{2}[/tex]
[tex] \tt : \implies Area = \sqrt{3} \times 36 \: units^{2}[/tex]
[tex] \tt : \implies Area = 36\sqrt{3} units^{2}[/tex]
So, Area of given triangle is 36√3 units².
14 of 1914 of 19 Questions
Question 14 please anyone please help me ☺
Francis scores 3 more than 2 times the number of points that Ray scores. If r represents the number of points Ray scores, which expression represents the number of points Francis scores?
5r
6r
2r+3
2 r + 3
3r+2
Answer:
See explanation
Step-by-step explanation:
The answer is either 2r+3 or 2 r + 3
I'm a bit confused because they're kinda the same thing but one of them is spaced out. I don't know if that space means anything.
Anyway if he's scores 3 more than 2 times the points ray scores, that means that he scores twice the amount that ray scores plus 3.
What is the domain? {-2,3); (1,4); (2,4); (0,0)}
Answer:
-2,1,2,0
Step-by-step explanation:
0 your choice to right,still right it to be safe, domain is all x values
Help help help me me me me
Answer:
Yes
Step-by-step explanation:
25/5 = 5
30/6 = 5
35/7 = 5
40/8 = 5
Since, 25/5 = 30/6 = 35/7 = 40/8 = 5
So the relationship between x and y is proportional.
which of the following rules shows a reduction
Answer:
I believe you're missing something.
Solve the simultaneous equations by substitution
8y−3x=23
3x=2y+1
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Please help! will mark brainliest if correct :) if not right, won't mark brainliest
9514 1404 393
Answer:
(d) 285.7 ft²
Step-by-step explanation:
The lateral area of a cone is given by the formula ...
A = πrh . . . . where r is the radius, and h is the slant height.
For your cone, this is ...
A = (3.14)(7 ft)(13 ft) = 285.74 ft²
The lateral area of the cone is about 285.7 ft².
Answer:
Its the second one
Help pleaseeeeeeeeeeeeee fast
Answer:
Step-by-step explanation:
a = 11.5×3 = 34.5 in²
b = 7.5×11.5 = 86.25 in²
c = a = 34.5 in²
d = b = 86.25 in²
lateral area = 2×34.5 + 2×86.25 = 241.5 in²
Answer:
241.5 in²
Step-by-step explanation:
I need help on this problem
-10.7 + (-19.26)
(I have to show my work btw)
Answer:
-29.96
Step-by-step explanation:
You add both numbers, as both are negative, and you get the answer.
Having emergency supplies ready is an important step in any preparedness plan. In the space below, draw an example of what your emergency supply pack would look like. Make sure to label each item so that others can see your materials.
Answer:
Emergency supplies are very important and it is very useful at times of need.
Step-by-step explanation:
Emergency supplies are a set of supplies that we may require at times when some situation or problem arises. During any situation which is not normal, these emergency supplies serves the purpose of life to one self.
Thus everybody should be prepared for the worst and should always keep an emergency supplies with them. These emergency supplies should contain all those item that we may require at times of need. It must contain :
-- a safety kit or a first aid kit
-- at least a gallon of water for drinking purposes and for sanitary purposes
-- a multi tool and a knife
-- a torch and batteries
-- emergency phone numbers and medical phone numbers
-- some clothes and weather resistance blankets
-- some copies of important documents
-- easy to cook and on perishable food items
-- two way radios
-- extra cash
-- maps
How much water will the swimming pool hold if it is completely filled with water?
9 ft
9 ft
4 ft
4 ft
4 ft
30 cubic feet
144 cubic feet
224 cubic feet
324 cubic feet
Answer:
144
Step-by-step explanation:
You should pick B.
A rock dropped 182 feet from the top of the Leaning Tower of Pisa falls straight to the ground (off the right
side), to a point 22 feet from the base of the tower What ongle does the Tower make with the ground? Round
to the nearest whole degree.
I NEED ANSWERS NOW!!
Answer:
i think 37237
Step-by-step explanation:
I need help with this
Answer:
in about 27 days
Step-by-step explanation:
i assumed 30 days per month when i set up this equation:
w = words learned daily
100 + 4w = 180 + 30/30w
100 + 4w = 180 + w
3w = 80
w = 26 2/3
Answer:
3.86 weeks/three weeks
Step-by-step explanation:
x time it takes for thier vocab to be the same in days
so the boy lerns 360 words of spanish in a year
or 360/365 words of spanish per day which is 72/73 words per day
so,
100+4x=180+72x/73
80=288x/73-72x/73
80=216x/73
80*73=5,840
5,840=216x
27.037 days=x
so now we have to divide by seven to get weeks so that is 3.86 weeks.
so some time in week three
................................................
Answer:
75.8°
Step-by-step explanation:
x + x + 28.4° = 180°{ being linear pair }
2x = 180° - 28.4°
2x = 151.6°
x = 75. 8°
Hope it will help :)
*DISCLAIMER THIS IS NOT A REAL QUESTION*
So I heard the most bullcrap thing yet
Izuku and Bakugou vs Gon and Killua
CLEAR FACTS: Killua vs Bakugou
Feats:
Killua can move at 12'000 mph, Melody could barely hear Hi footsteps BUT Melody could hear a conversation from miles across a city, and then you Have Godspeed.
Gon can move 200'000 mph, He has mastered nen, Top feat destroyed a massve chunk of a forest, and then you Have Adult Gon
Izuku can move at mach 29, Still hasn't mastered OFA, Top Feat Destroy, and then you have 100%OFA(Copyrighted SSJ2 Gohan and nen eyes)
Bakugo can move 27mph, His explosion's are harmless(anyone even near a expulsion should have there insides melted yet everyone is fine with them and they do not tooo much damage to Todoroki or Izuku or even his old bully friends in middle school and childhood), Also if Izuku shares his DNA ya get super OFA Bakugou (a lil stronger than deku but not big enough)
Answer:
so which one would beat up who?
Step-by-step explanation:
Answer:
killua is strongest out of all of them so i think hell wjin
Step-by-step explanation:
A restaurant makes pizzas with 6-inch diameters ad 12-inch diameters. Which of the following statement is true?
The area of the 12-inch pizza is twice the area of the 6- inch pizza
The area of the 12-inch pizza is three times the area of the 6-inch pizza
the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza
the area of the 6-inch pizza is 1/6 the area of the 12-inch pizza
Answer:
The correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.
Step-by-step explanation:
The area (A) of each pizza is given by:
[tex] A = \pi r^{2} [/tex]
Where:
r: is the radius
For the 12-inch pizza we have:
[tex] A_{12} = \pi (\frac{12 inch}{2})^{2} = 113.1 inch [/tex]
And for the 6-inch pizza we have:
[tex] A_{6} = \pi (\frac{6 inch}{2})^{2} = 28.3 inch [/tex]
The ratio between A₆ and A₁₂ is:
[tex] \frac{A_{6}}{A_{12}} = \frac{28.3 inch}{113.1 inch} = 0.25 = \frac{1}{4} [/tex]
Hence:
[tex] A_{6} = \frac{A_{12}}{4} [/tex]
Therefore, the correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.
I hope it helps you!
The area of the 6-inch pizza is 1/4 the area of the 12-inch pizza
Given that;Diameter of pizza A = 12 inch
Diameter of pizza B = 6 inch
Computation:Ration of Area of Pizza A to B = [πr1²] / [πr2²]
Ration of Area of Pizza A to B = [(12/2)²] / [(6/2)²]
Ration of Area of Pizza A to B = [(6)²] / [(3)²]
Ration of Area of Pizza A to B = 36 / 9
Ration of Area of Pizza A to B = 4:1
So,
Option "C" is the correct answer of the following question.
Learn more:https://brainly.com/question/21454181?referrer=searchResults
The middle value if there are an number of values or the average of two middle values if there are even number of values
What property is this ?
a(b + c) = ab + ac
Answer:
distributive I'm pretty sure!
Step-by-step explanation:
i hope this helps have a great day:)