The pattern of the sequence 1 1 2 3 5 8 13 is that each term is obtained by adding the previous term and the term before that.
The sequence 1 1 2 3 5 8 13 is also a famous example of the Fibonacci sequence. The Fibonacci sequence is a sequence of numbers in which each term is the sum of the two preceding terms. In this case, the first two terms of the sequence are 1 and 1, and the rest of the terms are obtained by adding the previous two terms.
It's also possible to express the pattern of the Fibonacci sequence by using the formula, F(n) = F(n-1) + F(n-2) where F(n) is the nth term of the sequence.
Learn more about Fibonacci Sequence here:
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help plsss how do you find the size of angle ABE
Answer:
∠b = 90°
Step-by-step explanation:
If you wrote it correctly then ∠d will = 90°, right?
We have AB ║(which is parallel to) D => ∠b = ∠d = 90°
P/S: I think that you took the wrong photo, the right question should be above. I'm very please if you can take it again and I will write the right solution down below in the comment section (if u don't mind)
x is an even whole number less than 5.
Answer:
x can either be 2 or 4
Step-by-step explanation:
Whole numbers less than 5 are = 1, 2, 3, 4
Even whole numbers less than 5 are = 2 and 4
1 and 3 are odd numbers
Therefore, even whole number less than 5 are 2 and 4
x can either be 2 or 4
What is -2 1/3 - (-5)?
Answer: =2 2/ 3
Step-by-step explanation:
In AOPQ, o = 700 cm, p = 840 cm and q=620 cm. Find the measure of _P to the
nearest degree
Given:
In triangle OPQ, o = 700 cm, p = 840 cm and q=620 cm.
To find:
The measure of angle P.
Solution:
According to the Law of Cosines:
[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]
Using Law of Cosines in triangle OPQ, we get
[tex]\cos P=\dfrac{o^2+q^2-p^2}{2oq}[/tex]
[tex]\cos P=\dfrac{(700)^2+(620)^2-(840)^2}{2(700)(620)}[/tex]
[tex]\cos P=\dfrac{490000+384400-705600}{868000}[/tex]
[tex]\cos P=\dfrac{168800}{868000}[/tex]
On further simplification, we get
[tex]\cos P=0.19447[/tex]
[tex]P=\cos^{-1}(0.19447)[/tex]
[tex]P=78.786236[/tex]
[tex]P\approx 79[/tex]
Therefore, the measure of angle P is 79 degrees.
Answer:
79
Step-by-step explanation:
Silas and Lilly attended a math conference. The total registration fee was $327.50. If each person paid the same amount, which equation
represents the amount each person paid?
A 2x = 327.50
B 1/2x = 327.50
C x + 2 = 327.50
D x - 2 = 327.50
Answer:I think the answer is letter B.
Step-by-step explanation:
Tucker got in his car and started driving toward his grandmother's house. After driving for 1 hour and 30 minutes, Tucker took a break for 40 minutes to have a snack. Then Tucker drove 1 hour and 40 minutes and finally arrived at his grandmother's house at 6:05 P.M. What time did Tucker start driving?
Answer: He started driving at 2:15 P.M.
Step-by-step explanation:
Answer:
3:05 P.M
Step-by-step explanation:
6:05 - 1 hour and 30 min = 5:25
5:25-40 minutes = 4:45
4:45 - 1 hour 40 minutes = 3:05 P.M
Use distributive property to simplify the following expression then combine like
terms: -5(a-6)+6a. Then identify the coefficient for the simplified expression.
Your answer
Answer:
Step-by-step explanation:
distribute:
-5a+30+6a
simplify:
a+30
not sure what u mean by coefficient, the coefficient of a is 1.
Answer: a + 30
Step-by-step explanation:
Using the distributive property, we can figure out the expression unsimplified = -5a+30+6a
By combining like terms, -5a+6a = a
Therefore, this expression = a + 30
I am not a professional, simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
PLEASE HELP! WILL MARK BRAINLIEST IF U ANSWER CORRECTLY! IF WRONG U WONT GET IT
Answer: 120cm
Step-by-step explanation:
Please Help i need this right now Thanks
SOMONE HELP PLEASE! I HAVE BEEN STRUGGLING ALL DAY!
Answer: 378 the second option
Step-by-step explanation:
Answer:
378
Step-by-step explanation:
Multiply 9 and 12 then divide by 2 to get the area of the triangle then multiple by 7 to get the volume
6/1000 as a common fraction
Perform the indicated operation.
f (x) = x2 − 4 g(x) = −3x Find f (g(x))
Answer:
-6x-4
Step-by-step explanation:
2(-3x)-4
-6x-4
r F(x) is your frame function since it is on the outside, when every you get to an x in the F function you plug in the G function then solve as normal.
What is the equation graph below?
Answer: y =7/4x
Step-by-step explanation:
The y-intercept is 0. To find the slope, do the change in y over the change in x. At the point on the graph, there is a slope of 14/8 = 7/4
HELP ASAP DUE IN 20 MINUTES
Answer:
x = 3
< D = 26
< E = 54
Step-by-step explanation:
I did the math
What fraction do you multiply 3 by to get 1
The length of a rectangle is 5cm and the width is 3cm. What is the length of a diagonal? Leave the answer in reduced exact form. Hint: Draw A PICTUR
Answer:
[tex]\sqrt{34} } =5.83[/tex]
Step-by-step explanation:
[tex]D=\sqrt{5^{2} +3^{2} } =\sqrt{34}[/tex]
John joined a gym for 6 months. He pays 20$ per month plus a membership fee. If his bill is 150$, what was the membership fee?
Answer:
Step-by-step explanation:
If he's been at the gym for 6 months, and he is charged $20 each month, then he has paid $120 dollars, not counting his membership fee. His total bill is $150.
150-120= $30
His membership fee was $30.
Hope this helps!
Mark Brainliest plz!
x is the number of months and y is the membership fee
[tex]cost = 20x + y[/tex]
[tex]150 = 20(6) + y[/tex]
[tex]150 = 120 + y[/tex]
[tex]150 - 120 = 120 - 120 + y[/tex]
[tex]30 = y[/tex]
The membership fee was $30.
The circumference of a circle is 5 feet. What is the area?
Give the exact answer in simplest form.
Answer:
We have the formula for the area of a circle: S = R² x [tex]\pi[/tex]
=> S = 5² x 3.14 = 78.5 f²
Step-by-step explanation:
Write the following inequality in slope-intercept form. –12x – 2y ≥ –42 y ≥ –6x – 21 y ≤ –6x – 21 y ≤ –6x + 21 y ≥ –6x + 21
Answer:
y ≤ –6x + 21
Step-by-step explanation:
Please help I don't know how to do this
i not sure but i think its 183
Answer:
question 18 asking for a equation for each week 89÷4
question 19 would be 60 + 123 = 183 then 183 ÷ 4 = 45.75
It takes lucas 3 hours to cycle from his home to his friend's village. But if he travels 5 mph slower, it will take him 1.5 hours longer. How far is the friend from lucas' house
Answer:
Step-by-step explanation:
It takes Lucas 3 hours to cycle from his home to his friend’s village:
3 hours • (a certain speed) = distance in miles
If he travels 5mph slower, it will take him 1.5 hours longer:
4.5 hours • (the same speed - 5mph) = the same distance in miles
4.5 • (x - 5) = 3x
4.5x - 22.5 = 3x
1.5x = 22.5
x = 15mph
3hours • 15mph = 45 miles
X, Y and Z form the vertices of a triangle with area 59.7cm2. If XZ = 21.5cm and XY = 13.5cm, work out the acute angle ∠YXZ. Round to 1 DP.
Answer: The acute angle ∠YXZ = 24.3°.
Step-by-step explanation:
If in triangle ABC, C is the angle included between sides a and b then
Area of triangle = [tex]\dfrac12a\cdot b\cdot sin C[/tex]
here, XZ = 21.5cm and XY = 13.5cm are sides that includes acute angle ∠YXZ..
Area of a triangle = 59.7cm²
then, as per given, we have
[tex]59.7=\dfrac12(21.5)(13.5)\ \sin X\\\\\Rightarrow\ 59.7=145.125\ \sin X\\\\\Rightarrow\ \sin X = \dfrac{59.7}{145.125}\\\\\Rightarrow\ \sin X =0.41137\\\\\Rightarrow\ X = \sin ^{-1}(0.41137)\approx24.3^{\circ}[/tex]
Hence, the acute angle ∠YXZ = 24.3°.
For a National Junior Honor Society Induction Celebration, Ahmed is renting tables and chairs. He wants to have only tables for 4 and tables for 6. The total number of people that can be seated in the school cafeteria with these tables is 160. Which equation represents this situation? (hint draw a picture) *
Answer:
i am not smart
Step-by-step explanation:
Today, everything at the store is on sale. The store offers a 20% discount. The regular price of a T-shirt is $16. What is the discount price?
Answer:
12.8
Step-by-step explanation:
9. An inequality is shown
2x - 5 < 33
Select all the values that are solutions to this inequality
a. 28
b. 26
C. 19
d. 18
e. 12
PLEASE HELPP!!
a coin is tossed several times and the ratio of the head to tails is 24:26. What Fraction of Tosses are heads?
Answer:
siiiiiiiiii
Step-by-step explanation:
Solve the equation. 8w = 48
Answer:
8w=48
This answer can be simplified by dividing both sides which contain the variable, which in this case is 8. Dividing 48 by 8 gets 6. This means that w equals 6.
Answer:
w = 6
Step-by-step explanation:
Solve
8w = 48
8w/8 = 48/8
= w = 6
(2x2)+(6x 109)
I don’t know how to do this
Answer:
658
Step-by-step explanation:
4+654=658.........
Answer:
658
Step-by-step explanation:
First solve 2x2, which is equal to 4.
Then solve 6 x 109 which is equal to 654.
Now add 4 to 654, and you'll get 658
If the lines in a system of equations have different slopes and the same y-intercept, how many solutions does the system have?
Answer:
289819
Step-by-step explanation:
what times 1,000 equals 4,320
Answer:
4.32
Step-by-step explanation:
Call the unknown number = x
We have: 1000x = 4320
=> x = [tex]\frac{4320}{1000}[/tex] = 4.32
=> The number we need to find is 4.32
Answer:
4.32
Step-by-step explanation: