Answer:
Sean's sum divided by Julie's sum is 2.
Step-by-step explanation:
The sum of an arithmetic sequence is:
[tex]\frac{n}{2}(2a+(n-1)d)[/tex]
In Sean's sequence, a = 2, n = 250, and d = 2
In Julie's sequence, a = 1, n = 250, and d = 2
[tex]\frac{\frac{250}{2}(2(2)+(250-1)2)}{\frac{250}{2}(2(1)+(250-1)1)}\\= 2[/tex]
The Sean's sum divided by Julie's sum gives the 2.
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
a, a + d, a + 2d, ... , a + (n+1)d, ...
Its nth term is ; T_n = a + (n-1)d
(for all positive integer values of n)
And thus, the common difference is T_{n+1} - T_n for all positive integer values of n
The sum of an arithmetic sequence is;
[tex]= \dfrac{n}{2}[2a + (n-1)d ][/tex]
In Sean's sequence, a = 2, n = 250, and d = 2
[tex]= \dfrac{250}{2}[2(2) + (250-1)2 ]\\[/tex]
In Julie's sequence, a = 1, n = 250, and d = 2 then;
[tex]= \dfrac{250}{2}[2(1) + (250-1)2 ]\\[/tex]
Therefore, the Sean's sum divided by Julie's sum gives the 2.
Learn more about arithmetic sequence here:
https://brainly.com/question/3702506
#SPJ2
What is the quotient of -3/8 And -1/3?
Answer:
[tex]\frac{9}{8}[/tex]
Step-by-step explanation:
Lets look at this in a more simple way!
[tex]-\frac{3}{8}[/tex] ÷ [tex]-\frac{1}{3}[/tex]
Now we can convert division into multiplication and flip the 1 and 3 numbers (in the fraction "[tex]-\frac{1}{3}[/tex]") all the way around and switch their roles as dividend and divisor:
[tex]-\frac{3}{8}[/tex] × [tex]-\frac {3} {1}[/tex]
Now multiply
[tex]\frac{9}{8}[/tex]
And THAT is your quotient of [tex]-\frac{3}{8}[/tex] ÷ [tex]-\frac{1}{3}[/tex].
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
how do u solve this
Solve the system of equations:
3x-3y = -15
and
-x+y = 5
Answer:
x=0 y=5
trust me I think its right
Abbas is two years younger than Brad. Two years ago, the sum of their ages was the same as Brad's current age. How old are the boys now?
Answer:
I believe they are younger
Step-by-step explanation:
I hope this helps
Question 2 of 10
A cell membrane is very specific about what it allows across. How does this
help the cell?
A. It helps the cell absorb as many different molecules as possible.
B. The cell works better when it contains fewer proteins.
C. It is better for the cell if most molecules are prevented from
entering
D. Transport proteins allow only enzymes to pass through the
membrane.
SUBMIT
PREVIOUS
Answer:
I beleive the answer is C
Step-by-step explanation:
Correct me if im wrong, but im pretty sure c is the most logical answer, next to D
Write the first four terms of sequence Rule:start at 28.6, subtract 3.1
28.6, 25.5, 22.4, 19.3... hope this helps!!
Find the distance traveled at 35 mi./hr for 2.5 hr
Answer:
5.0
Step-by-step explanation:
Answer: 87.5 miles
Step-by-step explanation:
Using the distance formula, S*T=D
35*2.5=87.5 miles
Hope is this helpful! :DD
At noon, the temperature on Mt. Washington in Maine was 0°C. The temperature dropped an average of -0.5°C an hour. At what time would the temperature be -2.5°C? Explain what you did to get your result.
Answer:
5:00 pm
Step-by-step explanation:
Given that:
Temperature at noon = 0°C
Average temperature drop rate = - 0.5°C per hour
What time would temperature be - 2.5°C
Hence, target temperature = - 2.5°C
Time taken for temperature to drop = (target temperature / temperature drop rate)
Time taken = - 2.5°C / - 0.5°C / hr
Time taken = 5 hours
Hence, the time at which temperature will be - 2.5°C equals 5 hours after noon
12: 00 noon + 5 hours = 5:00 pm
Hence, temperature will be - 2.5°C by 5:00 pm
What is 70% of 900
Pls answer quickly
Answer:
630Step-by-step explanation:
10% of 900 is 90 (900÷10)
20% of 900 is 180 (90×2) - basically the 10% times 2
50% of 900 is 450 (900÷2)
450+180=630 - the sum of the 20% and 50%
Translate the number equation into a written equation: 2p + 4 = 20
Answer:
p is 8
Step-by-step explanation:
4 - 20
then 2 divided by 16
then you get 8
Answer:11. g. 10. 3g. 12. 2p. 4q. 20 g plus 10 is the same as. Twice p plus 4 times q is 20. 3 times g. 13. 4(a b). 9a. 14. 8.
Step-by-step explanation:
i think thats the answer
A banner needs to be enlarged from its original format. The dimensions of the original are 4 cm tall by 25 cm wide.The enlarged banner needs to be at least 8 cm wide but no more than 1.4 m tall. Calculate the minimum and maximum ratios of enlargement possible.
Please help me it’s emergency please
A dyadic angle is an angle that is a sum of principle dyadic angles, this is to say that its measure in radians is zero or 2(pi) x (m/(2^n)) for some of the natural numbers m and n. Show that the sum and average of two dyadic angles is again a dyadic angle.
Answer:
attached below
Step-by-step explanation:
A dyadic angle is the sum of two principal dyadic angles
lets assume P and Q to be dyadic angles also assuming that they are non-zero in Radians
attached below is the proof that sum and average of two dyadic angles is a dyadic angle
Step by step please
9x^2 -3х + 16 = 6
Answer:
Step-by-step explanation:
Rewrite
9
x
2
as
(
3
x
)
2
.
(
3
x
)
2
−
16
Rewrite
16
as
4
2
.
(
3
x
)
2
−
4
2
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
3
x
and
b
=
4
.
(
3
x
+
4
)
(
3
x
−
4
)
The formula for the time it takes to travel a distance of d at an average speed v is d/v
Tessa ran a 100-meter dash at a speed of about 7.5 meters per second.
What calculation will give us the estimated duration Tessas dash in seconds?
A.) 7.5/100
B.) 100/7.5
C.) 7.5/100•60
D.) 100•60/7.5
Answer:
The answer is B
Step-by-step explanation:
d/r = t
d = 100 m
r = 7.5 m/s
t = ?
t = 100/7.5
Answer:
I believe the answer is B.
Explanation:
If you are trying to find out how fast she ran you need to compare it to the total area of land she ran.
Solve the equation 35h+25=40h to find how many hours
__ hour(s)
Dan uses 340 grams of blueberries to make 24 fluid ounces of smoothie. last week he made 54 fluid ounces of smoothie. how many grams of blueberries did dan use last week?
Answer: He used 765 grams of blueberries.
Step-by-step explanation:
The quantity of blueberries is directly proportional to the quantity of smoothie.
Equation of direct variation : [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
Substitute [tex]x_1=340\text{ grams},\ \ \ y_1=24\text{ fluid ounces}[/tex]
[tex]y_2=54\text{ fluid ounces}[/tex]
To find : [tex]x_2[/tex]
[tex]\dfrac{340}{24}=\dfrac{x_2}{54}[/tex]
[tex]\Rightarrow\ x_2=\dfrac{340}{24}\times54\\\\\Rightarrow\ x_2=765[/tex]
Hence, he used 765 grams of blueberries.
Write a linear function f with the values f(0)=−3 and f(7)=11.
Answer: f(x)= 2x -3
Step-by-step explanation:
Using the given information we can come up with two points that will be use to find the slope and y-intercept.
If you input 0 you get -3 so the point will be (0,-3)
If you input 7 you get 11 so the point will be (7,11)
Now use the points to find the difference in their y coordinates and divide it by the difference in their x coordinates to find the slope.
y coordinates: -3 - 11 = -14
x coordinates: 0 - 7 = -7
-14/-7 = 2
Since the slope is two, we will use the slope intercept formula (y = mx +b) to find the b which is the y intercept.
Use one of the points and input its x and y coordinates into the formula including the slope to solve for b.
-3= 2(0) +b
-3 = 0 + b
b = -3
f(x) is the same as y in the formula, meaning that the equation will be
f(x) = 2x -3
If 8 is an element in the domain of f(x)=
8x−18
5, what is the corresponding element in the range?
In Functions and Function Notation, we were introduced to the concepts of domain and range. In this section, we will practice determining domains and ranges for specific functions. Keep in mind that, in determining domains and ranges, we need to consider what is physically possible or meaningful in real-world examples, such as tickets sales and year in the horror movie example above. We also need to consider what is mathematically permitted. For example, we cannot include any input value that leads us to take an even root of a negative number if the domain and range consist of real numbers. Or in a function expressed as a formula, we cannot include any input value in the domain that would lead us to divide by 0.
a nursery owner buys 9 panes of glass to fix some damage to his greenhouse the 9 panes cost 19.35 unfortunately he breaks 4 more panes while repairing the garage. what is the cost of another 4 panes?
A perimeter of a square field is 20cm. what is the area of the field?
Select one:
a. 25cm2
b. 16cm2
c. 12cm2
d. 48cm2
The area will be 25cm²
HOPE IT HELPS YOU♡♡
What is the value of 6(2b-4) when b =5
Answer:
Step-by-step explanation:
6(2b-4) sub 5 for b
6(2(5)-4)
6(10-4)
60-24
36
Which is the function represented by the table ?
Answer:
its b
Step-by-step explanation:
HELP PLZZZZZZZZZZ ITS DUE NOW
Answer:
yes its a right trinagle
Step-by-step explanation:
well first it has a right corner which is a right angle you can tell by putting your hand like a L
A. What is the area of square ABCD?
B. What is the area of square EFGH?
C. What is the area of the unshaded region of ABCD.
NEED HELP!!!!
Not very good with these kinds of problems
Find the total surface area of this cone,
Round to the nearest tenth.
6cm
4cm
[?] cm2
Answer:
125.7cm²
Step-by-step explanation:
Given parameters:
Slant height, L = 6cm
Base radius = 4cm
Unknown:
Total surface area = ?
Solution:
To find the total surface area, we use the expression;
Surface area = [tex]\pi[/tex]r² + [tex]\pi[/tex]rL
Now insert the parameters and solve
Surface area = [tex]\pi[/tex]r(r + L )
Surface area = [tex]\pi[/tex] x 4 (4 + 6) = 3.142 x 4 x 10 = 125.7cm²
Which graph represents a proportional relationship?
Answer:
If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.
please help please answer surely please
Answer:
C. 48 m
Step-by-step explanation:
The two vertical sides add up to be (8*2) m = 16m.
The two horizontal sides can be added up to (14*2) m = 28m.
(The top horizontal side can be found by pushing the line in the middle up to the level of the other two portions of the same side.)
Finally, add the leftover two sides (2*2) m = 4m.
16+28+4 = 48.
Hope this helped!
Answer:
C-48
Step-by-step explanation:
hi , you need to fill in the blanks and then add them all together
Classify each function as linear or nonlinear.
Step-by-step explanation:
Linear:
4x - y = 3
-6x = 3y - 17
x = y/5
non linear:
(x/2)^2 + 1 = y
y/x^2 = 4
2x^2 = 12 - 8y
Bdbdjekdmfmfmfkfmf help
Answer:
Green box: 9
Step-by-step explanation:
7/7 x 9/10
1 x 9/10 = 9/10
Find the slope of the line passing through the points (-2, 8) and (3,8).
Please help!!
Answer:
y=8
Step-by-step explanation:
(-2,8) (3,8)
x,y. x,y
y2-y1/X2-X1=
8-(8)= 0
3-(-2)= 5
since the two points have 8 in the Y space the line would be equal to y= 8