Answer:
1/6 as a decimal is 1.66 or 1.6 repeating.
Can you answer both and tell me the answer please
Answer:
7. 10^2
8. 3x3x3x3x3x3x3x3x3 = 19,683mi^2
How do you do these questions?
Step-by-step explanation:
(a) Fₙ₋₁ > 0, so Fₙ₊₁ > Fₙ. Each term is bigger than the one before it, so the function is increasing, meaning the series will diverge to infinity.
(b) Fₙ₊₁ / Fₙ = (Fₙ + Fₙ₋₁) / Fₙ
Divide.
Fₙ₊₁ / Fₙ = 1 + (Fₙ₋₁ / Fₙ)
Rewrite the second fraction using negative exponent.
Fₙ₊₁ / Fₙ = 1 + (Fₙ / Fₙ₋₁)⁻¹
Take the limit of both sides as n approaches infinity.
lim(n→∞) Fₙ₊₁ / Fₙ = 1 + lim(n→∞) (Fₙ / Fₙ₋₁)⁻¹
Substitute with φ.
φ = 1 + φ⁻¹
Solve.
φ² = φ + 1
φ² − φ − 1 = 0
φ = [ -(-1) ± √((-1)² − 4(1)(-1)) ] / 2(1)
φ = (1 ± √5) / 2
Since the ratio can't be negative:
φ = (1 + √5) / 2
Which of the following is the best estimate of the measure of the angle the skateboard makes with the ground ?
Answer:
Correct choice: C. 74.5
Step-by-step explanation:
Trigonometric Ratios
In every right triangle (those who have an internal angle of 90°), the six trigonometric ratios are valid. They relate the other internal angles with the lengths of the triangle.
The skateboard, the wall, and the ground form a right triangle. We need to find the measure of the angle formed by the skateboard with the ground. Let's call it β. In a right triangle, the cosine of an angle is defined as
[tex]\displaystyle \cos\beta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]
The adjacent leg of β is the side with length 8 in, and the hypotenuse is the length of the skateboard, 30 in, thus:
[tex]\displaystyle \cos\beta=\frac{8}{30}}=0.267[/tex]
Using a digital calculator we find:
[tex]\beta=\cos^{-1}(0.267)[/tex]
[tex]\beta=74.5^\circ[/tex]
Correct choice: C. 74.5
For how many different positive integers n is each of n, n+2, and n+4 a prime number?
Answer:
3,5,7
Step-by-step explanation:
odd numbers is a multiple of three, at least one of them can't be prime
hope this helps there is 1 of them
original amount : 30, new amount : 45 what is the percent change
Answer:
50%
Step-by-step explanation:
Percent change = {(New-Old)/(Old)}*100%
So,
{(45-30)/(40)}*100
=(15/30)*100
=50%
Use the image to answer the question below. 10 8 A B 10 8 10 -10 Which series of transformations would result in a figure that is congruent to the triangle ABC?
Answer:
c b a
Step-by-step explanation:
Answer:
cba
Step-by-step explanation:
sorry if its wrong
Use the figure at the right. If JK = 2x + 12 and NO = 14, what is the value of x?
Answer:
X=8
Step-by-step explanation:
JK would equal 28, since it basically is double the side of that triangle. So now we have the equation, 2x+12=28. Now we solve using inverse operation. 28-12=16 and then 16 divided by 2 is 8, so x=8.
The required simplified value of x is 8, for the given triangle.
What is the midpoint?A midpoint is a point on the line whose distance from both ends of the line is equal.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
The property of a triangle states that the line joining the midpoints of the two adjacent sides is equal to half of the third side.
So,
JK = 2NO
2x + 12 = 24
x = 16 / 2
x = 8
Thus, the required simplified value of x is 8, for the given triangle.
Learn more about triangles here:
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What is the value of 4x – 3y if x = 3 and y = 6?
Answer:
The value is -6.
Step-by-step explanation:
First, you use subsitution.
4(3) - 3(6)
Then, you multiply.
12 - 18
Do the subtraction and you're left with -6 as your answer.
Please help ASAP!! Will give brainliest if right
If DF ≈ DG, find mD.
A. 34°
B. 46°
C. 67°
D. 134°
Answer:
C : 67°
Step-by-step explanation:
The angles are equal to each other therefore they would all be the same measurement which is 67°
Hope this helps
Answer:
The answer is C.
Hope this helps
Kelly bought a pen for $2.50, a pencil for $0.36, a notebook for $3.75, and a highlighter for $1.99. She used a coupon for 10% off. How much did she spend in total?
Which of the ratio below is equivalent to 4:1? Select all that apply. A) 12:3 B) 24:6 C) 8:4 D)16:4 E) 10:6
Answer:
that would be a
Step-by-step explanation:
just took the test
Answer:
A, B, D
Step-by-step explanation:
Use slope formula, m= y2, - y1 over X2-X1 to find the slope of a line that passes through the points (-3, 8) and (4.-6).
m=
use the slope-intercept form, y=mx+b to find the y-intercept (b) of the line
b=
what is the new equation written in slope-intercept form y=mx+b
Answer:
m= -2
b= 2
y= -2x + 2
Step-by-step explanation:
Just did it
The slope of a line is m = -2 that passes through the points (-3, 8) and (4.-6), the y-intercept (b) of the line is 2, and the equation is y = -2x + 2.
What is the slope of the line?The slope of a line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Given that the line that passes through the points (-3, 8) and (4.-6).
Let
x₁ = -3, y₁ = 8
x₂ = 4, y₂ = -6
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Substitute values in the formula
m = (-6 - 8)/(4 -(-3))
m = (-14)/7
m = -2
y - 8 = m(x - (-3))
y - 8 = -2(x + 3)
y = -2x -6 + 8
y = -2x + 2
Since the slope-intercept form, y = mx+b
So the y-intercept (b) of the line,
b = 2
Thus, the slope of a line is m = -2 that passes through the points (-3, 8) and (4.-6), the y-intercept (b) of the line is 2, and the equation is y = -2x + 2.
Learn more about the Slope of the Line here:
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what is 8455 divided by 89?
Answer:
95
Step-by-step explanation:
Answer:
95
Step-by-step explanation:
8455 divided by 89
Solve the inequality.
2(4+2x)25x+5
Answer:
[tex]100x^{2} +200x+5[/tex]
Step-by-step explanation:
Answer:
x ≤ 3
Step-by-step explanation:
If You Know The Answer Help :)
Answer:
0.3
Step-by-step explanation:
Answer:
3/20
Step-by-step explanation:
1/5=4/20
7/20-4/20=3/20
Hope this helps!
Evaluate the following expression: 24^3+7.2-15^5+6.2
Answer:
=−745,537.6
Step-by-step explanation:
Hope that helps
2(x + 7) + 3x = 12 (given)
2x + 14 + 3x - 12 (?)
5x + 14 - 12 (simplify)
5x = -2 (subtraction)
x = -2/5(division)
What is the missing reason?
A)
Addition
B)
Subtraction
c)
Reflexive Property
D)
Distributive Property
hello please help will give brainliest
Answer:
c
Step-by-step explanation:
288/6 = 48
Hope this helps
Answer:
c.
Step-by-step explanation:
For ratio, u should divide
So, 288/6 = 48:1 or 48/1
6 times 48=288
Pls mark me brainliest
if a plane travels 1,200 miles in 2 hours how many mph is the plane going
Answer:
600
Step-by-step explanation:
Sense 2 hours has passed you divide the amount of distance the plane has traveled by the amount of time it took. :)
Answer:
600 mph
Step-by-step explanation:
its the speed of the plane
the solution is distance travel which is 1,200 miles divided by the time 2 hours will be equal to 600 miles per hour (mph).
Help Please I Really Need Help
Answer:
X=5
Step-by-step explanation:
3x+4=19
3x+4-4=19-4
3x=15
15/3x=
X=5
Hope this helps!
A local farm has a 0.5 acre field that was planted with 26,100 corn plants. One acre is equivalent to 43,500 square feet. Assuming the same planting density, how many corn plants could they plant on a field with an acre of 80,000 square feet
Answer:
96000 corn
Step-by-step explanation:
80,000/43500 = 1.84
1.84/0.5 = 3.678
3.678 x 26100 = 96000
A bag contains 13 cups of cat food. Your cats eat 1 1/2 cups of cat food each day .Is there enough to last 2 weeks
A bird goes from a higher location to a lower location at a
rate of 2 meters per second,
Which equation models the change in the bird's position at 30 seconde?
A. (-30)(-2) = -60
B. 30(-2) = -60
C. 30.2 = 60
D. 30(-2) = 60
Answer: It's B.
Step-by-step explanation: I took the test.
Can someone do these problems, thank you :-)
Answer:
Step-by-step explanation:
1) 2^2 + 2^2 = c^2
4 + 4 = c^2
8 = c^2
c = sqrt8
2) 2^2 + 3^2 = c^2
4 + 9 = c^2
13 = c^2
c = sqrt13
3) 10^2 + 4^2 = c^2
100 + 8 = c^2
108 = c^2
c = sqrt108
4) 1^2 + 5^2 = c^2
1 + 25 = c^2
26 = c^2
c = sqrt26
5) 3^2 + 1^2 = c^2
9 + 1 = c^2
10 = c^2
c = sqrt 10
6) 9^2 + 9^2 = c^2
81 + 81 = c^2
162 = c^2
c = sqrt162
The length of a quarter is 0.955 inch. Round the length of a quarter to the nearest tenth of an inch
Answer:
the answer to the question is 0.96.
Answer:
1 inch
Step-by-step explanation:
the 9 is in the tenths place. 5 or more you need to round up.
1.A cook has 2 3/4 pounds of ground beef.How many quarter-pound burgers can he make?
2.A child needs to take 1/6 tablespoons of medicine per day in 4 equal doses.How much medicine is in each dose?
3.How many 5/6 cup salt shakers can be filled from 24 cups of salt?
What is the value of 4x – 3y if x = 3 and y = 6?
Answer:
-6
Step-by-step explanation:
If x=3 and y=6, 4x-3y=-6 because 4x with x=3 makes the first number 12. 3y with y=6 makes the result 18, so now the equation is 12-18. 12-18=-6, so 4x-3y with x=3 and y=6 will equal -6.
Hopefully the answer and explanation helps!
Answer:
-6
Step-by-step explanation:
All you have to do is plug in the numbers. So it should look like 4(3) - 3(6). Now all you have to do is solve. 4 x 3 = 12. 3 x 6 = 18. Now subtract. 12 - 18 = -6
Need help !!!!!! !!!!!
Answer:
C is your answer
There are eight wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use. Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested.
Answer: 40320 sequence to test.
Step-by-step explanation:
we have given the following data:
No of wires which need to be attached to a circuit board = 8
What We need to find is the number of possible sequences of assembly that must be tested.
Using our multiplication rule of counting we arrive at,
Number of possible sequences of assembly is given by
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 40320
i.e. there are 8 choices for the first wire, 7 choices for the second wire, 6 choices for the third wire, 5 choice for the fourth wire same till the 8th wire.
Hence, there are 40320 possible sequences of assembly.
2x+ 8y = -3
3x+ 6y = -4
Choose all answers that apply
multiply the top equation by 3, multiply the bottom equation by 4, then subtract the bottom equation from the top equation
multiply the top equation by 3, multiply the bottom equation by -2, then add the equations