The 41th term of the arithmetic sequence is 66.
What is arithmetic sequence in math's ?Arithmetic sequences are those that contain these patterns. The difference between successive terms in an arithmetic series is constant. Because the difference between consecutive words is always two, the sequence 3, 5, 7, and 9 is an example of arithmetic.
[tex]a_{n}=a_{1}+(n-1)d[/tex]
[tex]a_n[/tex] = the nᵗʰ term in the sequence.
[tex]a_1[/tex] = the first term in the sequence.
d = the common difference between terms.
According to the given information:Finding arithmetic sequence for the nth term:
aₙ = a₁ + (n-1)d
d = the common difference
a₇ = a₁ + (7-1)d
34 = 5 + 6d
29 = 6d
d = 29/6
Now ,
Finding the 41st term of the arithmetic sequence.
a₄₁ = a₁ + (n-1)d
= 5 + (41-1)d
= 5 + 40d
= 5 + 40(29/6)
= (198)* 1/3
= 66
The 41th term of the arithmetic sequence is 66.
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A circular cylinder has a curved surface area 1320cm square and the radius of its base is 10.5cm find the height and volume of cylinder.
Answer:
h=9.51
v=3293.89
Step-by-step explanation:
hope it helps :)
Answer:
h = 9.51
v = 3293.89
Step-by-step explanation:
please mark me as brainliest
What is greater 100,000 cm or 1 mi PLEASE HELPPPPPPP
Answer:
1 mile
Step-by-step explanation:
1m =160934 cm
what is the mean of the data set? 16, 24, 26, 13
Answer:
20
Step-by-step explanation:
17+24+26+13=80
80/4=20
The equation k = 1.6d gives an approximate relationship between d miles and k kilometers. The distance between Boise, Idaho, and Reno, Nevada, is 430 miles. Express the distance in kilometers.
A.
431.6 km
B.
268.8 km
C.
688 km
Answer: C) 688 km
=================================================
Work Shown:
k = 1.6d
k = 1.6*430
k = 688
430 miles is roughly equivalent to 688 km.
More accurately, 430 miles = 692.01792 km, so this approximation isn't too far off.
Answer: the answer is C. 688 km
RESULT
The distance between Boise, Idaho and Reno, Nevada is 688 kilometers.
Step-by-step explanation:
The equation k = 1.6d gives an approximate relationship between d miles and k kilometers. Express each distance in kilometers. the 430 miles between Boise, Idaho, and Reno, Nevada
k = 1.6 d
Where k is in kilometers n d in miles
The distance between Boise, Idaho and Reno, Nevada is 430
Substituting d= 430 we get,
k = 1.6(430)
k = 688
RESULT
The distance between Boise, Idaho and Reno, Nevada is 688 kilometers.
Use the Distributive Property to rewrite the algebraic expression. 5(2x + 7)
wrong answers reported, correct answers get 5 stars
Answer:
10x + 35
Step-by-step explanation:
In distributive property, you have to distribute that 5 to both the 2x and the 7, so then it would look like this:
5(2x) + 7(5)
Then we just further simplify and get:
10x + 35.
Hope this helped, let me know if you have any questions
Identify the property demonstrated by the equation. x + (3 + 5 ) = (x + 3 ) + 5
Need help!!!!!! this is for a grade
Someone plz help me I wil give brainliest
Answer:
The answer is three quarters, one nickel's dime, and a penny!
Step-by-step explanation:
Answer:
Dime- 4
Penny- 1
Half Dollar- 1
Step-by-step explanation:
A dollar is 100 cents and you have 91
91- 50 (half dollar)= 41
41- 1 (one penny)= 40
40- 40 (4 dimes)= 0
The Flightless Folly ship has 20 pirates aboard. 12 of those pirates wear an eye patch. What percentage of pirates wear an eye patch on the Flightless Folly?
Which point has the coordinates (2, 3)?
у
5
4
B.
С
3
2
D
A
1
0
1
2
з
4
х
5
ОА
ОС
OD
ОВ
Answer:
Point B
Step-by-step explanation:
The first number in the brackets is X while the second is Y (x, y).
X is the bottom line, while Y is the line going up.
Find 2 on the bottom line and 3 on the upright line. This gives us B.
I am sorry for the poor explanation.
Is y=9 a horizontal line or vertical
Answer:
Horizontal
Step-by-step explanation:
Answer:
y = 9 is a horizontal line :)
Step-by-step explanation:
y=9 is the equation of a horizontal line. The slope is 0. This means that for any value of x that is chosen, the y-value is always 9 Hence y=9 .
what is the circumfrence of this circle? pi=3.14 formulas: C = (pi) * d (or) c=2*(pi) * r
Answer:
75.36 cm
Step-by-step explanation:
Given.
radius (r) = 12 cm
Circumference (C)
= 2*π*r
= 2 * 3.14 * 12
= 75.36 cm
Hope it will help :)
Find the area of the parallelogram. Round to the nearest hundredth if necessary.
Answer:
1424.81 square meters
Step-by-step explanation:
20.21 m * 70.5m = 1424.805 square meters
So then you round it to the nearest hundredth so then..
1424.81 square meters
Step-by-step explanation:
A of a parallelogram = Base ×height
= 20.21×70.5= 1424.805m
nearest hundreth = 1424.81 m
The perimeter of a square is represented by the expression 32x-12. . Write two equivalent expressions for the perimeter and explain how to find the length of one side. x=3
Answer:
P = 2(l+w) ----------(1)
P = 4l----------- (2)
P= 32x- 12
4l = 32x- 12
l = 8x- 3
One side will be equal to 21 units and the perimeter will be 84 units when x=3.
Step-by-step explanation:
The perimeter is given by the formula
P = 2(l+w) ----------(1)
where p= perimeter , l= length and w= width.
But a square has the length equal to the width so w= l and the formula becomes
P = 2( l+l)
P = 2 (2l)
P = 4l----------- (2)
The perimeter of the square is
P= 32x- 12
or
4l = 32x- 12
dividing the whole equation by 4 we get
l = 8x- 3
So the length of one side can be obtained by dividing the perimeter by 4.
If x= 3
then
l= 8(3)-3
l= 24- 3
l = 21
One side will be equal to 21 units and the perimeter will be 84 units.
P = 4l = 4(21)= 84
I NEED HELP WITH THISSSSSSSS!!!!!!
Answer:
The answers should be:
LRS = 137.5
NRS = 42.5
QRN = 137.5
MNR = 42.5
RNP = 137.5
KNP = 42.5
MNK = 137.5
Step-by-step explanation:
180 - 42.5 = 137.5
Answer:
ok this is going to be kinda confusing but here:
angle lrs: 137.5
angle nrs:42.5
angle nrq:137.5
angle knp:42.5
angle rnm: 42.5
angle mnk: 137.5
angle pnr: 137.5
Step-by-step explanation:
basically everything is either 137.5 or 42.5
-2(3x-4)+3x=17 solve for x
Answer:
The answer will be -3
Step-by-step explanation:
Hope this Helped
Answer:
x= -3
Step-by-step explanation:
It is really Easy just Isolate the variable by dividing each factor that don't contain the variable
What is 3 - 15/7? I am having trouble with that problem! Thank you for whoever helps.
Answer:
About -1.7142
Step-by-step explanation:
-
Over the course of 3 days, Calvin spent 10 hours delivering newspapers. He spent the same amount of time each day delivering newspapers. Which of the following equations represents the amount of time Calvin spent delivering papers each day?
A: 3 ÷ 10
B: 10 ÷ 3 =
C:10 ÷ 7 =
D: 7 ÷ 10 =
x2 = 36 solve for x please answer
Step-by-step explanation:
Given
x² = 36
x² =( +6)²
x = +6
Hope it will help :)
Answer:
x= 18
Step-by-step explanation:
Divide both sides by 2
2 and 2 cancel out
36/2=18
check that it fits
2 x 18=36
18 is correct
Hope this helps ^-^
Using suitable identity find 5.62
− 0.32
Answer:
5.62 - 0.32= 5.3 or 5.30
Step-by-step explanation:
solve the equation r4·r3 = _____
expand the following: 4(2x + 1)
Answer:
the equivalent expression is 8x + 4
Step-by-step explanation:
4(2x + 1) = 4x2 = 8 =
8x + 1 = 4x1 = 4 =
8x + 4
To check your work substitute 1
4(2(1) + 1) = 4(2 + 1) = 4(3) = 12
8(1) + 4 = 8+4 = 12
therefore they are both equivalent
hope this helped!
Please I’m desperate and tell me how you did it
Given:
Triangle EFG is similar to triangle HIJ.
To find:
The measure of side IJ.
Solution:
We know that, corresponding sides of similar triangles are proportional.
Triangle EFG is similar to triangle HIJ.
[tex]\dfrac{EF}{HI}=\dfrac{FG}{IJ}[/tex]
Putting the given values, we get
[tex]\dfrac{7}{32}=\dfrac{4}{IJ}[/tex]
[tex]7\times IJ=4\times 32[/tex]
[tex]IJ=\dfrac{128}{7}[/tex]
[tex]IJ=18.2857[/tex]
[tex]IJ\approx =18.3[/tex]
Therefore, the measure of side IJ is 18.3 units.
20000 students took a standardized math test. The scores on the test are normally distributed, with a mean score of 85 and a standard deviation of 5. About how many students scored between 90 and 95?
Answer: 2718
Step-by-step explanation:
Given: Mean score = 85
Standard deviation = 5
Let x be the score of a random student that follows normal distribution.
Then, the probability that a student scored between 90 and 95 will be
[tex]P(90< x < 95)\\\\=P(\dfrac{90-85}{5}<\dfrac{x-\mu}{\sigma}<\dfrac{95-85}{5})\\\\= P(1< z< 2)\ \ \ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=P(z<2)-P(z<1)\\\\=0.9772-0.8413\\\\=0.1359[/tex]
The number of students scored between 90 and 95 = 0.1359 x (Total students)
= 0.1359 (20000)
= 2718
Hence, The number of students scored between 90 and 95 = 2718
find the tangents of the acute angle in the right triangle. write each answer as a fraction
Answer:
[tex]tanD=\frac{7}{24}[/tex]
[tex]tanF=\frac{24}{7}[/tex]
Step-by-step explanation:
We are given that
ED=24units
EF=7units
FD=25 units
We have to find the tangents of the acute angle in the right triangle
We know that
tangent=[tex]\frac{Perpendicular\;side}{Base}[/tex]
Using the formula
[tex]tanD=\frac{EF}{ED}[/tex]
[tex]tanD=\frac{7}{24}[/tex]
[tex]tanF=\frac{ED}{EF}[/tex]
[tex]tanF=\frac{24}{7}[/tex]
Ram is running a bakery. He has made a street sign to direct people to his bakery. He painted one side of the post and sign. What is the painted area? 10 in 10 in 6 in 45 in 5 in
A. 225 square inches
B. 355 square inches
C. 385 square inches
D. 275 square inches
Answer:
355 square inches
Step-by-step explanation:
Answer:
Step-by-step explanation:
b=355
Suppose the radius of a circle is three units what is the circumference
Answer:
[tex]6\pi[/tex] or [tex]18.84[/tex] units
Step-by-step explanation:
The circumference of a circle can be found using the formula [tex]C=2\pi r[/tex], where [tex]C[/tex] is the circle's circumference and [tex]r[/tex] is the circle's radius. We know that [tex]r=3[/tex] and that we are solving for [tex]C[/tex]. Therefore:
[tex]C=2\pi r\\C=2*\pi *3\\C=6\pi[/tex]
Since [tex]\pi[/tex] is approximately [tex]3.14[/tex], [tex]6\pi =6*3.14=18.84[/tex] units. Hope this helps!
Write an equation and solve: At Trader Joes, Mrs.
Jacobs buys bananas for $0.65 per pound and a
frozen pizza for $4.99. The total for her purchase
was $6.94. How many pounds of bananas did
Mrs. Jacobs buy?
Jonathan says that when you add 7 2 3 to 2 2 3 , you must add the whole numbers together first ( 7 + 2 = 9 ). Then you just add the numerators together ( 2 + 2 = 4 ), and you add the denominators together ( 3 + 3 = 6 ). So the answer is 9 4 6 . Unfortunately, Jonathan's strategy is incorrect. Solve this problem, and then briefly explain the flaw in Jonathan's reasoning.
Answer:
9 4/3
Step-by-step explanation:
Jonathan working:
Add 7 2/3 to 2 2/3
Step 1: you must add the whole numbers together first ( 7 + 2 = 9 ).
Step 2: Then you just add the numerators together ( 2 + 2 = 4 ),
Step 3: you add the denominators together ( 3 + 3 = 6 ).
Step 4: Answer is 9 4/6
Correct workings:
Add 7 2/3 to 2 2/3
Step 1: you must add the whole numbers together first ( 7 + 2 = 9 ).
Step 2: Then you just add the numerators together ( 2 + 2 = 4 ),
Step 3: you pick one of the denominators because they are the same (3)
Step 4: Answer is 9 4/3
How many fluid ounces are in 1 quart