Answers
Try this option:
1. to calculate the difference of the final sequence:
the difference between two terms of the sequence A is 4 (7-3=11-7=...=4) and the difference between two terms of the sequence B is 7 (9-2=16-9=...-7). It means, in the final sequence the difference should be 7*4=28;
2. to calculate the first term of the final sequence:
A={3;7;11;15;19;23;27;31;...;407} and B{2;9;16;23;30;...;709}. It means, the first term of the final sequence is 23.
3. to calculate the last term of the final sequence:
if 407<709, it means the last term is less than 407, then it is possible to make up the equation 23+28*n<407, where 23 - the 1st term of the final sequence, 28 - the difference of the final sequence, (n+1) - number of the last term of the final sequence and n∈Z.
n<(407-23)/28; n<13.71. If n∈Z, then n=13.
So, the last term of the final sequence is 23+28*13=387.
4. if the first term is 23, the last one is 387 and the difference of the final sequence is 28, then the final sequence is consists of 14 terms:
{23; 51; 79; 107; 135; 163; 191; 219; 247; 275; 303; 331; 359; 387}
Related Questions
Please give me the correct answer.Only answer if you're very good at math.Please use the Pythagorean Theorem formula which is a^2 + b ^2 = c^2.
Answers
Answer:
8.7 in
Step-by-step explanation:
a = 7.3
b = 4.8
c^2 = 7.3^2 + 4.8^2 = 76.33
c = sqrt(76.33) which is around 8.7
This equation shows how the money Kensington Middle School spends on workbooks is related to the total number of workbooks they buy.d = 64.6tThe variable t represents the number of workbooks bought by the school, and the variable d represents the total cost of those workbooks. At most how many workbooks can Kensington Middle School buy if it has $64.60 to spend?
Answers
Answer:
1 workbook
Step-by-step explanation:
Equation:
d = 64.6t
Given:
d = total cost
t = number of workbooks
Work:
d = 64.6t
64.6 = 64.6t
t = 64.6/64.6
t = 1
Answer: 1 work book t=1
Step-by-step explanation:
HELP ASAP What is the distance between the following points
Answers
Answer:
6
Step-by-step explanation:
Let {u1,u2,u3} be an orthonormal basis for an inner product space V. If
v=au1+bu2+cu3
is so that ∥v∥=42, v is orthogonal to u3, and ⟨v,u2⟩=−42, find the possible values for a, b, and c.
Answers
• ||v|| = 42, which is to say
||v||² = 〈v, v 〉
… = 〈a u₁ + b u₂ + c u₃, a u₁ + b u₂ + c u₃〉
… = a ² 〈u₁, u₁〉 + b ² 〈u₂, u₂〉 + c ² 〈u₃, u₃〉 + 2(ab 〈u₁, u₂〉 + ac 〈u₁, u₃〉 + bc 〈u₂, u₃〉)
… = a ² ||u₁||² + b ² ||u₂||² + c ² ||u₃||²
[since each vector in the basis for V is orthogonal to any other vector in the basis, and 〈x, x〉 = ||x||² for any vector x ]
42² = a ² + b ² + c ²
[since each vector in the basis has unit length]
42 = √(a ² + b ² + c ²)
• v is orthogonal to u₃, so 〈v, u₃〉 = 0. Expanding v gives the relation
〈v, u₃〉 = 〈a u₁ + b u₂ + c u₃, u₃〉
… = a 〈u₁, u₃〉 + b 〈u₂, u₃〉 + c 〈u₃, u₃〉
… = c ||u₃||²
… = c
which gives c = 0, and so
42 = √(a ² + b ²)
• Lastly, 〈v, u₂〉 = -42, which means
〈v, u₂〉 = 〈a u₁ + b u₂ + c u₃, u₂〉
… = a 〈u₁, u₂〉 + b 〈u₂, u₂〉 + c 〈u₃, u₂〉
… = b ||u₂||²
… = b
so that b = -42. Then
42 = √(a ² + (-42)²) → a = 0
So we have a = 0, b = -42, and c = 0.
The required values are, [tex]a=0,b=-42 ,c=0[/tex]
Given,
[tex]v=au_1+bu_2+cu_3[/tex]
[tex]\left\| V\right\|=42[/tex]
Computation:
Since, [tex]v[/tex] is orthogonal to [tex]u_3[/tex] then we have,
[tex]\left<v,u_3 \right> =0\\\left< v,u_2\right> =-42[/tex]
Then,
[tex]\left\| V\right\|^2=\left<v,v \right>\\=\left<au_1+bu_2+cu_3,au_1+bu_2+cu_3 \right>\\=a_2\left\|u_1 \right\|^2+b_2\left\|u_2 \right\|^2+c_2\left\|u_3 \right\|^2\\=a^2+b^2+c^2\\=a^2+b^2+c^2=42^2[/tex]
As we know,
[tex]a=\left<v_1u_1 \right>\\b=\left< v_1u_2\right>= -42\\c=\left<v_1u_3 \right> =0[/tex]
[tex]a_2+b_2+c_2=42\\a=0[/tex]
Learn More:https://brainly.com/question/13152748
Which is bigger 1/4 or 3/5
Answers
Answer:
3/5
Step-by-step explanation:
THIS IS DUE NOW wiil give crown if right Winston bought an encyclopedia priced at $42. Shipping and handling cost anadditional 30% of the price. What was the total cost of the encyclopedia, in cluding shipping and handling?
Answers
Answer:$52.60
Step-by-step explanation: You have a initial cost of $42 and you have to add 30 %. When you add the 30 % you get 12.60 more dollars added to the amount. This will then give you an answer of $52.16.
In Middletown, Main Street and Market Street are parallel to each other. Patrick Street intersects Market Street to form a 76° angle at the northeast corner, as shown in the figure below. What is the measure of the angle formed at the southeast corner of Main Street and Patrick Street? (Note: Each street is straight and has the same uniform width.) 76° 90° 104° 142° 152°
Answers
Answer:
152
Step-by-step explanation:
Edge 2020
solve the equation -3 + 1/2n = 1/2 (-n + 14) in two different ways.
Answers
Answer:
Step-by-step explanation:
-3 + 1/2n = 1/2 (-n + 14)
distribute
-3 + 1/2n = -1/2n + 7
-1/2n
cancel out -1/2n
-3 = n + 7
-10 = n
subtract 7
n = -10
PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS
Answers
Answer:
124
Step-by-step explanation:
Elm St. and Oak St. are parallel lines.
Cedar St. is a transversal to the other two streets.
When parallel lines are cut by a transversal, corresponding angles are congruent.
The angles with measures 9x + 61 and 3x + 103 are corresponding angles, so they are congruent and have the same measure.
9x + 61 = 3x + 103
Subtract 3x from both sides.
6x + 61 = 103
Subtract 61 from both sides.
6x = 42
Divide both sides by 6.
x = 7
9x + 61 = 9(7) + 61 = 63 + 61 = 124
3x + 103 = 3(7) + 103 = 21 + 103 = 124
This is an isosceles trapezoid.
R.
S
75
N
Х
Y У
T
U
z =
[?]
Enter the number that belongs in
the green box.
Enter
Answers
Answer:
75
Step-by-step explanation:
it would be the same as it opposite side S because they are the same
Find the surface area of a cylinder with the following dimensions. Use 3. 14 for $. Round your answer to the nearest
tenth
d = 11.4 cm, h = 4.4 cm
a. 5172 sq. cm
723.6 sq. cm
b. 361.5 sq. cm
d. 294.5 sq.cm
C.
Please select the best answer from the choices provided
Ο Α
ОВ
ОС
OD
Answers
Answer:
b
Step-by-step explanation:
r=d/2=11.4/2=5.7
slant surface area=2πr*h=11.4×3.14×4.4=157.5024 cm^2
area of base and top=2(πr²)=2×3.14×(5.7)²=204.0372 cm²
total surface area=157.5024+204.0372=361.5396=361.5 sq. cm
John withdrew 1/4 of his savings to use as deposit on a new phone.He had 164.00 in his savings account.How did John withdrew for the deposit on the phone
Answers
Answer:
$41
Step-by-step explanation:
Well he withdrew 1/4 of his savings which is basically 1/4 * 164
help please i need it asap
Answers
A backpack is on sale for $51.00. This is 75% of the original price. What was the original price?
Answers
100%-75%= 25% or 0.25.
51 = 0.25 * n (original price)
Divide 0.25 on both sides
51/0.25 = 204
N=204
That is indeed a very expensive backpack.
In 2002, the average price of a new domestic car was $19,126. In 2008, the average price was $28,715. Based on a linear model, what is the predicted average price for 2014? Ston Down
Answers
Answer:
The predicted average price for 2014 is of $38,304.
Step-by-step explanation:
Linear model:
In a linear model, the average price increases by the same amount during each period.
In 2002, the average price of a new domestic car was $19,126. In 2008, the average price was $28,715.
In a period of 6 years, the increase was of:
28715 - 19126 = $9,589
Based on a linear model, what is the predicted average price for 2014?
Another period of 6 years, so it will increase by 9589 more. Than
28715 + 9589 = 38304
The predicted average price for 2014 is of $38,304.
Solve (z + 6)2 = 5
{−6±5‾√}
{6±5‾√}
{5‾√±−6}
{−6+5‾√,6−5‾√}
Answers
9514 1404 393
Answer:
(a) -6±√5
Step-by-step explanation:
(z +6)^2 = 5 . . . . . given
z +6 = ±√5 . . . . . take the square root
z = -6 ±√5 . . . . . . subtract 6
please help i have an F right now
Answers
Answer:
4
Step-by-step explanation:
If you add up all of those, you get 24. Then you divide by 6. 24/6 = 4.
Calculate the volume of a square-based pyramid with a slant height of 5 ft and base edges of 6 ft.
Answers
Answer:
Volume is 60ft³
Step-by-step explanation:
b²h/3
b=6
h=5
The volume of a square-based pyramid will be 180 ft³. Option D is correct.
How to find the volume of a prism?If the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is the same as its base, then its volume is:
[tex]\rm V = B^2 \times h \\\ V = 6^2 ft \times 5 \ ft \\\ V=180 \ ft^2[/tex]
Learn more about the volume of a prism refer:
https://brainly.com/question/4113799
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The weekly average earnings of his drivers in a city is $980 with a standard deviation of $47. Assume that we select a random sample of 81 bus drivers. Compute the standard error of the mean
Answers
Answer: do the math, and after that know the definition of what the mean is and it will help you, its best to understand something.
Step-by-step explanation:
Aquestion that can be answered by
collecting data that has variability,
Answers
You need to give more info
Find the volume of the figure. Use 3.14 for pi a cone sphere has a diameter of 10 and a sphere has a height of 12 cm asking for a friend they need help asap will mark brainliest
Answers
Answer:
576 cm³
Step-by-step explanation:
cone = 1/3x3.14x5x5x12=314
1/2 sphere = 1/2x4/3x3.14x5x5x5=262
314+262=576
Eric spends 4/5 of his pocket money to buy lunches. The rest of the money he will save. If the amount he saves is $2, how much does he spend buying lunch?
Answers
Answer:
Wait u want me to answer your question or the Jono question? Or both?
Step-by-step explanation:
1. $6/5
Please help meeeeeeeeeeeeeeeee
Answers
Answer:
Step-by-step explanation:
h = 4.2 in
Volume = 3.6 cubic inches
[tex]\frac{1}{3}\pi r^{2}h = 3.6\\\\\frac{1}{3}*3.14*r^{2}*4.2 = 3.6\\\\r^{2}= \frac{3.6*3}{3.14*4.2}\\\\ = 0.81\\r=\sqrt{0.81}\\\\[/tex]
r = 0.9 in
Answer:
.... ..................
help please. will give Brainly.
Answers
Answer:
a10 = 15
an = 6n - 45
Step-by-step explanation:
a12 = 27 = a + 11d - eq 1
a14 = 39 = a + 13d - eq 2
eq 2 - eq 1
2d = 12
d = 6
a + 11(6) = 27
a + 66 = 27
a = -39
a10 = a + 9d = -39 + 9(6) = 15
Tn = a + (n-1)d
-39 + 6(n - 1)
-39 + 6n -6
an = 6n - 45
Find the surface area of a square pyramid with side length 5 yd and slant height 7 yd.
Answers
Step-by-step explanation:
side length(a)=5yd
slant height(l)=7yd
vertical height(h)=?
Now,
h2=(l)2+(a/2)2
h=find it
Then,
T.S.A.=a2+2al
Surface area of square pyramid is 95 square yard.
What is surface area of square pyramid?The word "surface" means " the exterior or outside part of an object or body". So, the total surface area of a square pyramid is the sum of the areas of its lateral faces and its base.
So, the surface area of a square pyramid is the sum of the areas of four of its triangular side faces and the base area which is square.
Given
Length = 5 yd
Slant height = 7 yd
Surface area of square pyramid = 4 (Area of triangle) + area of square
S = [tex]4\frac{1}{2}bh+side^{2}[/tex]
S = [tex]4 . \frac{1}{2} (5)(7)+5.5[/tex]
S = 70 + 25
S = 95 square yard.
Hence, Surface area of square pyramid is 95 square yard.
Find out more information about Surface area of square pyramid here
https://brainly.com/question/12400672
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How
many solutions does the equation 4X + 8 = - 2 - 2 + 5x have?
Two
® One
Zero
Infinitely many
Answers
Answer:
x = 12
Step-by-step explanation:
by direct solution
otherwise this system many solution
Answer:
one
Step-by-step explanation:
4x+8=-4+5x
or, 5x-4x = 8+4
hence,
x=12
At a candy store each bag holds 0.75 pounds. A box with 12 pounds of candy is being put into ,b, bags. How many bags of candy is this?
Answers
Answer:
17 bags is correct
Step-by-step explanation:
12 / 75 is equal to 17.14
What does not contribute to the destruction of the rainforest in Brazil? farming and ranching cutting down trees to sell the wood constructing a highway having heavy rains
Answers
Answer:
heavy rains
Step-by-step explanation:
it makes the forest grow!!1!!1!!!!11111!1!!
The angle between the lines xy=0 is
(a) 00
(b) 60°
(c) 90°
(d) 120°
Answers
Answer:
(c) 90°
Step-by-step explanation:
Given
[tex]xy = 0[/tex]
Required
The angle between the line
First, solve for x and y
[tex]xy = 0[/tex]
[tex]x = 0[/tex] or [tex]y=0[/tex]
This means that: y axis and x axis
The angle between the two axes is 90 degrees
Hence: (c) is correct
The radius of a cylindrical construction pipe is 1.5 ft. If the pipe is 17 ft long, what is the volume?
Use the value 3.14 for π and round your answer to the nearest whole number.
Answers
Answer:
The volume of the cylinder is 120.10 square feet.
Step-by-step explanation:
Given that the radius of a cylindrical construction pipe is 1.5 ft, to determine its volume if the pipe is 17 ft long, the following calculation must be performed, knowing that the volume of a cylinder arises from multiplying the number pi by the radius at square of the cylinder, and that result by the height of the same:
3.14 x 1.5 ^ 2 x 17 = X
3.14 x 2.25 x 17 = X
7.065 x 17 = X
120.105 = X
Thus, the volume of the cylinder is 120.10 square feet.