Answers
9514 1404 393
Answer:
a(n) = 1/2(-8)^(n-1)
Step-by-step explanation:
The general term of a geometric sequence is ...
a(n) = a(1)×r^(n-1)
where a(1) is the first term, and r is the common ratio.
Here, the first term is a(1) = 1/2. The common ratio is the ratio of any two sequential terms: r = 32/-4 = -8. Then the explicit formula is ...
a(n) = 1/2(-8)^(n-1)
Related Questions
What is the arc length of arc cd in the circle below. The circle has a radius of 6ft and an angle measure of 30
Answers
9514 1404 393
Answer:
π ft ≈ 3.14 ft
Step-by-step explanation:
The angle is 1/12 of the number of degrees in a circle, so the arc length will be 1/12 of the circumference of the circle.
C = 2πr
1/12C = 2/12π(6 ft) = π ft ≈ 3.14 ft
The arc length is about 3.14 feet.
If a=2, b=3 and c=4 then find the numerical value of a2+2abc+b2+c2
Answers
a=2 b=3 and c=4. then,
a2+2abc+b2+c2
a2+2abc+b2+c2= 2^2+2×2×3×4+3^2+4^2
(replace value of a, b, c by2,3,4 respectively tgen solve)
= 4+48+9+16
= 77………………
Therefore, 77 is correct answer.
Given that
AB - BC
3, complete the statements to
DE EF
show that AABC - ADEF by the SAS similarity
theorem.
Horizontal and vertical lines are
So, angles
are right angles by definition of
perpendicular
lines.
All right angles are
Therefore, AABC - ADEF by the SAS similarity
theorem.
Answers
Answer:
Horizontal and vertical lines are perpendicular. So angles B&E .All right angles are 90°.
i hope you're helped
Horizontal and vertical lines are perpendicular. So, angles B and E are right angle by definition of perpendicular lines. All right angles are 90°/congruent/equal.
What are Similar Triangles?Two triangles are said to be similar if the triangles are of the same shape but different size. The angles of the triangle will be equal and the sides are proportional.
Given are two triangles ABC and DEF.
Two triangles are similar if all the corresponding angles are equal and the corresponding sides are proportional.
Here, given that,
AB / DE = BC / EF = 1 / 2.
So, two corresponding sides are proportional.
SAS similarity postulate is that, if two corresponding sides of two triangles are proportional and the corresponding included angle is congruent, then the two triangles are similar.
So we have to prove included angle B and E are equal.
A horizontal and vertical lines are always perpendicular.
Here B and E are formed by a horizontal and a vertical line.
So they are right angles.
All right angles are 90°. So they are equal or congruent.
So Triangles ABC and DEF are similar by SAS.
Learn more about Similar Triangles here :
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Kayla Koolbeck has $37.60 un her checking account. She uses her debit card to make purchases of $25.99 and $19.34, which overdraws his account. His bank charges her account antes overdraft Dee of $25.00. She then deposits her paycheck for $58.66 from her part-time job ay Subway. What is the balance in ver account?
Answers
Answer:
33.66
Step-by-step explanation:
a. Solve x + 9 = x + 9. b. If you simplify an equation and get 0 = 0, what can you conclude about the solution(s) of the original equation? a. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. (Simplify your answer.) O B. The solution is all real numbers. O C. There is no solution.
Answers
What number is 1/2 of 3/4
Answers
Answer
1.5/4
Step-by-step explanation:
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The owner has 8 employees. Seven of them
earn $ 210, $200, $190, $180, $300, $150,$90 a
day. What does the 8th employee get paid, if the
average pay for all 8 employees is $200?
Answers
(1320+x)/8=200 /*8
1320 +x=1600
X=1600-1320
X= 280
Where would you find the point (-10,0)
Answers
Answer:
Step-by-step explanation:
the x axis
If no sides of a triangle have the same length, the triangle is called scalene
(pronounced SKAY-leen). And, as you might remember, if the triangle has at
least two sides that are the same length, the triangle is called isosceles. Use the
markings or description in each diagram below to decide if AABC is isosceles or
scalene. Assume the diagrams are not drawn to scale.
Answers
Answer:
a. isosceles
b. isosceles
c. scalene
An equation is shown below: 4x+2(x-3) = 4x+2x-11 Solve the equation and write the number of solutions. Name one property you used to solve this equation
Answers
Answer:
4x + 2(x - 3) = 4x + 2x - 11 4x + 2x - 6 = 4x + 2x - 11 6x - 6 = 6x - 11 6x - 6x = -11+ 6 O = -5...incorrect...this has no solution...0 solutions one property used was the distributive property :2(x - 3) = 2x - 6
What is the value of the expression 4x^3 – 3x when x = 6?
Answers
4(6)^3 - 3(6)
4*(216)- 18
864 - 18
=846.
Hope it helped!
Area
Exercise 5.2
1. Calculate the perimeter and area of the
rectangle with the following sides
a) length = 10 cm; width 6 cm
b) length - 8 cm; width = 6 cm
c) length 11 cm; width=10 cm
d) length = 20 cm; width=15cm
Answers
Answer:
perimeter=2(l+w).
2(10+6)
2(16)
32cm.
b)2(8+6)
2(14)
28
c)2(11+10)
2(21)
42.
d)2(20+15)
2(35)
70.
whats equivalent to (4r+ 3) +(-2r+ 4)
Answers
Answer:
2r+7
Step-by-step explanation:
(4r+3)+(−2r+4)
Combine 4r and −2r to get 2r.
2r+3+4
Add 3 and 4 to get 7.
2r+7
:)
~ 3+4=7
answer : 2r+7
What is the probability of getting two heads and 1 tail
Answers
Answer:
1/2
please mark me brainliest
please help me, if you help then thanks!
Answers
Answer:
B. [tex] {a}^{ - 7 - 10} [/tex] (second option)
Step-by-step explanation:
[tex] \frac{ {a}^{ - 7} }{ {a}^{10} } [/tex]
[tex] {a}^{ - 7 - 10} [/tex]
[tex] - 7 - 10 = - (7 + 10) = - 17[/tex]
Compare: 7/20 O 35%
who answers first get brainlest
Answers
Step-by-step explanation:
7/20
=0.35
35%
=35/100
=0.35
Hence, 7/20=35%
What is the volume of the rectangular solid?
12 cubic feet
15 cubic feet
5 ft
25 cubic feet
50 cubic feet
2 ft
5 ft
Mark this and retum
Save and Exit
Next
Submit
Answers
Answer:
I need to see the rectangular solid
The overall direction of this data is __________. The strength of the association is __________. a.) positive; strong
Answers
Answer:
The overall direction of this data is positive. The strength of the association is strong
Step-by-step explanation:
it might be that the data could be negative and not positive
the strength is perfectly strong
base on the whole statement so
hope that helps>3
The overall direction of the data is positive also the strength of the association is strong.
What is an arithmetic operation?
The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
The overall trend of the data is positive, and the association is strongly correlated.
To know more about arithmetic operations:
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expand or simplify
3c(5+c) -2(3c-7)
Answers
15c+3c^2-6c+14
9c+3c^2+14
Answer:
It is 3c² + 9c + 14
Step-by-step explanation:
[tex]3c(5 + c) - 2(3c - 7)[/tex]
open the brackets:
[tex] = (15c + 3 {c}^{2} ) - (6c - 14) \\ = (15c + {3c}^{2} ) - 6c + 14[/tex]
express in quadratic equation:
[tex]3 {c}^{2} + 9c + 14[/tex]
Find two rational numbers between the root of 2 and root 3
Answers
9514 1404 393
Answer:
1.5 and 1.6
Step-by-step explanation:
√2 ≈ 1.41421356...
√3 ≈ 1.7320508...
1.5 and 1.6 are between these numbers
__
If you need the ratio of integers, these numbers are 3/2 and 8/5.
Question 7 of 10
Which of the following can you determine, when you use deduction and start
from a given set of rules and conditions?
A. None of these
B. What must be true
C. What may be false
D. What may be true
Answers
Answer:
what may be true
Step-by-step explanation:
i just took the test and got the answer correct, i hope this helps.
Rewrite 14 / 25 and 11 / 20 so that they have a common denominator
Answers
The fraction equivalent of the given fractions with the same denominator is written as [tex]\frac{56}{100} \ and \ \frac{55}{100}[/tex]
The given parameters include:
[tex]\frac{14}{25} \ and \ \frac{11}{20}[/tex]
To rewrite the given fractions to have the same denominator, we must find the LCM of the denominators;
The prime factorization of 25 = 5²
The prime factorization of 20 = 5 x 2²
The LCM of the two numbers = 5² x 2² = 25 x 4 = 100
The fractions can rewritten as follows;
[tex]\frac{14}{25} \ = \frac{14}{25} \times \frac{4}{4} = \frac{14 \times 4}{25 \times 4} = \frac{56}{100} \\\\\frac{11}{20} \ = \frac{11}{20} \times \frac{5}{5} = \frac{11 \times 5}{20 \times 5} = \frac{55}{100}[/tex]
Thus, the fraction equivalent of the given fractions with the same denominator is written as [tex]\frac{56}{100} \ and \ \frac{55}{100}[/tex]
Learn more here: https://brainly.com/question/17248258
5. Name the property of real numbers illustrated by the equation. (1 point)
Answers
Answer:
distributive property
your phone bill is N42. It increases by 10% after 12 months, and a further 20% increase is applied six months later. What’s the price of your phone bill after 18 months?
Answers
9514 1404 393
Answer:
N55.44
Step-by-step explanation:
The bill is multiplied by 1+10% = 1.10 after the first increase. The second increase multiplies that by 1+20% = 1.20. After 18 months, the bill is ...
N42 × 1.10 × 1.20 ≈ N55.44 . . . . price after 18 months
help help help
Find d
A. 74
B. 14
C. 16
D. 76
Answers
Answer:
D
Step-by-step explanation:
b/c 90 - 14 = 76 .........
Solve each equation.
3a - 7 = 26
A=
Answers
Answer:
a = 11
Step-by-step explanation:
One is given the following equation:
3a - 7 = 26
Use inverse operations to solve this equation:
3a - 7 = 26
(add (7) to both sides)
3a = 26 + 7
Simplify,
3a = 26 + 7
3a = 33
Inverse operations,
3a = 33
(divide both sides by (3))
a = 33 / 3
Simplify,
a = 11
Hurry will mark brainiest . There are seven nickels and five dimes in your pocket. Three times, you randomly pick a coin out of your pocket, return it to your pocket, and then mix-up the change in your pocket. All three times, the coin is a nickel. Find the probability of this occurring.
A. 343/1728
B. 1/22
C. 1/8
D. 25/546
Answers
Answer: A. 343/1728
Step-by-step explanation:
All you have to do is multiply (or, in this case, cube) both the numerator and denominator to get the probability.
[tex]\frac{7^{3} }{12^{3} }[/tex] or [tex]\frac{7*7*7}{12*12*12}[/tex]
11/13 = v/7 round to the nearest tenth
Answers
5.9
Step-by-step explanation:
If you’re trying to find v, well here is the right answer:
5.9
Step 1. Multiply 7 by 11
Step 2. Then divide it by 13
Answer should be 5.9
What is 12 divided by 2/5?
Answers
Answer:30
Step-by-step explanation:
Write 28.63 in expanded notation and word form.
Answers
Answer:
Answer below
Step-by-step explanation:
Expanded form : 20 + 8 + 0.6 + 0.03
Expanded form is a way of writing numbers to see the individual math value of digits.
Word form: twenty eight point six three.
HOPE THIS HELPED