Answer:
aₙ = aₙ₋₁ + aₙ₋₂
where:
a₁ = 6
a₂= 1.
Step-by-step explanation:
We have the sequence:
6, 1, 7, 8, 15, 23, ...
Is easy to see that this sequence works as follows:
You take 2 consecutive numbers, and the next number is the sum of these two.
Then we have:
6 + 1 = 7
1 + 7 = 8
7 + 8 = 15
8 + 15 = 23
Then the n-th term is equal to the sum of the (n - 1) term and the (n - 2) term.
This is written as:
aₙ = aₙ₋₁ + aₙ₋₂
Because in the recursive rule needs two previous terms, we need to specify the two first terms of the sequence.
Then we need to write also:
a₁ = 6
a₂= 1.
True or false
The graph of a linear equation is always horizontal line ?
Answer:
truef8y8y8gufu0fy9f8tft8
Answer:
true
Step-by-step explanation:
totoo po yn hindi ko po layo niloloko
Which is the exponential form of the expanded form shown? (Two-fifths) (two-fifths) (two-fifths) (two-fifths)
What is 3.50 if it rose by 4000%
what is the gcf of 40 and 10
Answer:
the gcf is 10
Step-by-step explanation:
factors of 10- 1,2,5,10
factors of 40-1,2,4,8,10,20,40
the biggest factor they both have is 10
hope this helps :>
PLEASE HELP ILL MARK BRAINIEST
Examine the work shown. Explain the error and find the correct result.
2(4 – 16) – (–30)
2(–12) – (–30)
24 – (–30)
54
Answer:
the answers supposed to be 6
2*(-12) would be -24 that's what screwed up the equation
Step-by-step explanation:
Answer:
The error is in the middle: 2(-12) = -24 not 24
Step-by-step explanation:
Suppose you visit a restaurant with a salad bar containing the following choices: 10
dressings, 15 vegetables, 6 cheese toppings and 4 different crouton toppings. What is
the total number of possible salads you could create?
35
3600
150
900
Answer:
3600
Step-by-step explanation:
multiply all of the choices
10x15x6x4
The total number of possible salads you could create is 3600. so the correct option is B.
What is the fundamental principle of multiplication?If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
WE have been given the following choices: 10 dressings, 15 vegetables, 6 cheese toppings and 4 different crouton toppings.
Therefore, the total number of possible salads you could create;
Then multiply all of the choices
10 x 15 x 6 x 4
= 3600
Hence, The total number of possible salads you could create is 3600. so the correct option is B.
Learn more about multiplications, please visit the link given below;
https://brainly.com/question/14059007
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Work out the perimeter of the shaded shape
3cm
4cm
9cm
6cm
The diagram is not drawn to scale.
__cm
Answer:
32cm
Step-by-step explanation:
Perimeter of the shaded shape is the sum of all the sides
To unknown side = 4cm + 6cm = 10cm
Perimeter of the figure = 3cm + 4cm + 6cm + 9cm + 10cm
Perimeter of the figure = 32cm
Hence the Perimeter of the figure is 32cm
4cm
9cm
6cm
The diagram is not drawn to scale.
__cm
Question 4 (1 point)
The organizers of a concert are preparing for the arrival of 50,000 people in a field. Each person is alloted 5 square ft of space, so the
organizers rope off a circular area big enough to account for 5 square feet per person. Find the radius of this region, rounding to the nearest
foot.
Answer:
Radius of park r = 282.04 ft (Approx)
Step-by-step explanation:
Given:
Number of people = 50,000
Each person needs area = 5 ft²
Park's is in shape of circle
Find:
Radius of park r
Computation:
Total area required = 50,000 x 5
Total area required = 250,000 ft²
Area of circular park = Total area required
πr² = 250,000
(22/7)r² = 250,000
r² = 79545.4545
r = 282.04 ft
Radius of park r = 282.04 ft (Approx)
Suppose each block is 300 ft long. Suppose I could fly and walk through people’s houses and yards so that I could travel a straight line from my house to the library. What distance would I travel?
Answer:
1615.55 ft
Step-by-step explanation:
The coordinates for house (300,300)
Library coordinate =(1800, 900)
Distance between two points :
D = sqrt[(x2 - x1)² + (y2 - y1)²
D = sqrt[(1800 - 300)² + (900 - 300)²
D = sqrt[(2250000 + 360000)]
D = sqrt[(2610000)]
D = 1615.5494
D = 1615.55 ft
look at the graph of a line and write its equation
Answer:
y = 5x + 0.25
Step-by-step explanation:
M is the slope which is 5 units y per 1 x unit. B is the y-intercept which seems to be 0.25.
Use the exchange rate £1 = €1.13 to convert €339 into £.
Answer:
£383.07
Step-by-step explanation:
339 X 0.13=44.07
44.07+339=£383.07
Name two pairs of alternate exterior angles.
Answer:
Possible Alternate Exterior Angles:
5 and 4
1 and 8
9 and 16
13 and 12
Answer:
B.
Step-by-step explanation:
1. What type of number is 8i?
imaginary
real
complex
Answer:
8i is an imaginary number.
Please Help me? Will mark brainliest.
Please do not post any random answers, they will be immediately reported [by immediately I mean when i get back on. I am going to sleep now ;-;]
pH is a measurement of hydronium ions and can be modeled by the function f(x) = −log10x. The variable x represents the amount of hydronium ions, and f(x) gives the pH level.
Different liquids have ideal pH values that are different. Water at 25 degrees Celsius has a pH of 7. Anything that has a pH less than 7 is called acidic, and a pH above 7 is basic, or alkaline. Seawater has a pH just more than 8, whereas lemonade has a pH of approximately 3.
Create a graph of the pH function either by hand or using technology. Locate on your graph where the pH value is 0 and where it is 1. You may need to zoom in on your graph.
Use your graph to find the ideal pH level if the amount of hydronium ions is raised to 0.50.
The pool company developed new chemicals that transform the pH scale. Using the pH function f(x) = −log10x as the parent function, explain which transformation results in a y-intercept and why. You may graph by hand or using technology. Be sure to label each transformation on the graph.
f(x) + 1
f(x + 1)
[If you could, it's be greatly appreciated if you'd use desmos to graph as that will be the site I am using. It's fine if not, thanks]
Answer:
5.623x10-11 mol/l
Step-by-step explanation:
pls trust on this one
Answer:
1.
pH is 0 = (1,0)
pH is 1 = (0.1,1)
2.
(0.5,0.301)
3.
f(x+1) because of the horizontal transformation to the left so it has a y-intercept of (0,0).
Step-by-step explanation:
Graphs included
Department stores customer parking lot has four rows with an equal number of parking spots in each row. The loud also has 15 parking spots for store employees FC cars can be parked in each of the four main roles of the parking lot what is the expression for the maximum number of cars that can be parked in the parking lot.
Answer:
4c + 15
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION BELOW;
A department store's customer parking lot has 4 rows with an equal number of parking spots in each row. The lot also has 15 parking spots for store employees. If c cars can be parked in each of the 4 main rows of the parking lot, what is the expression for the maximum number of cars that can be parked in the parking lot?
15c − 4
c(15 − 4)
4c + 15
4(c + 15)
✓We were told that the customer stores parking has Total number of 4 rows,
✓ for " c" cars to be parked in the 4 main rows i.e in each of them, we can calculate the overall numbers of car parked in the rolls as ( 4 × c)= 4c
✓ we were told that there are 15 parking spots available to employees in the store
✓ maximum number of cars that can fit into the parking lot will be ( 15 + 4c)
= 4c + 15
A cube with a volume of 64 cubic meters is scaled by a factor of 5. What is the volume of the modified cube in cubic meters? (Note: do not include the units in your answer.)
Answer:
8000 for plato users
Step-by-step explanation:
Answer:
8000
Step-by-step explanation:
Rearrange this formula to make x the subject.
y = 3x2 - 2
Answer:
The subject 'x' in terms of 'y'
[tex]x = \sqrt{\frac{y+2}{3} }[/tex]
Step-by-step explanation:
Explanation:-
Given subject in terms of 'x'
y = 3 x² - 2
Adding '2' on both sides, we get
y + 2 = 3 x² - 2 +2
y+2 = 3 x²
Dividing '3' on both sides, we get
[tex]x^{2} = \frac{y+2}{3}[/tex]
[tex]x = \sqrt{\frac{y+2}{3} }[/tex]
The areas of the squares adjacent to two sides of a right triangle are shown below.
? units?
35 units
50 units
What is the area of the square adjacent to the third side of the triangle?
Answer:
85
Step-by-step explanation:
All you do is add 35 units and 50 units together.
Area of the square adjacent to the third side of the triangle is 85 units square
What is Pythagoras theorem?Pythagoras theorem states that a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
Given that areas of the squares adjacent to two sides of a right triangle are :
35 sq units
50 sq units
To determine the area of the square adjacent to the third side of the triangle
According to Pythagoras theorem,
Hypotenuse² = Base² + Perpendicular²
As figure is missing assuming given sides are perpendicular sides
Then Area of the square adjacent to the third side of the triangle = 35 + 50
= 85 units square
Now, assuming 50 sq unit is an area on hypotenuse
Then Area of the square adjacent to the third side of the triangle = 35 - 50
= 15 units square
Learn more about Pythagoras theorem here:
brainly.com/question/343682
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Lola already has 6 pennies, and she plans to save more. In her first week
of saving pennies, she will save twice the number of pennies that she
already has. Each week after, she will save twice the number of pennies
as the previous week.
Which equation can be used to determine the number of pennies, P, Lola
will save during week w of saving pennies?
Answer: [tex]P=6(2)^{w-1}[/tex]
Step-by-step explanation:
Here, the money saved each week follows geometric progression with a common ratio r= 2 and first term a= 6.
In geometric progression, nth term = [tex]ar^{n-1}[/tex]
Substitute r= 2 , a= 6 and n=w, we get
wth term = [tex]6(2)^{w-1}[/tex]
The equation can be used to determine the number of pennies, P, Lola will save during week w of saving pennies:
[tex]P=6(2)^{w-1}[/tex]
Homework #74
W
2. A tour group has $784 to spend on
tickets. If each ticket costs $7, how many
tickets will the group be able to buy?
Riley ordered a snow cone with 4 flavors.
Caleb ordered him with 2 flavors.
How many fewer flavors did Caleb order?
Help someone please? And makes sure the answer is right please and thank you :)
Answer:
x=7
Step-by-step explanation:
In this question, since the horizontal lines are parallel lines, these two angles are congruent to each other.
So we have: 105=16x-7
Equation: 105=16x-7
Add 7 to both sides: 112=16x
Divide by 16 on both sides: x=7
Let me know if this helps!
a) Which of the four curves, A, B, C or D,
is a sketch of the curve with equation y = 2* ?
A
b) Give the coordinates of any points of
intersection of the curve of y = 2with
the axes.
If there are no points of intersection
write, 'no points'.
(1)
Answer:
Step-by-step explanation:
Can someone please help me on this question and show the work if you can?
Answer:
it is a 60 30 90 triangle so basically 2y is = x
21² + y² = x²
441 + y² = x²
y = x/2 (2y = x)
441 + x²/4 = x²
4x² = 1764 + x²
3x² = 1764
x = exact is 24.248711306 simplied square root would just be 14√3
2y = 14√3
y = 7√3
exact wouldd be 12.124355653
Hal earns $5 a week doing chores for his parents. He also earns $10 a week for each dog, d, he walks
Write an equation to find m, the total amount of money Hal earns in one week. Which variable in the equation is the dependent variable and which variable is the independent variable? Tell how you know
Answer:
Step-by-step ex
At a sale, shirts were sold for $16 each. This price was 80% of their original price. What was the original price?
Answer:
$20 was the original price. 16÷20= .8=80%
Answer:
The original price is 100%. and 80%
Step-by-step explanation:
The original price is 100%. and 80%=$15. ⇒1%=$1580=$0.1875. ⇒100%=$0.1875×100=$18.75.
Value of x is greater than or equal to 14
Answer:
x, greater than sign with a line under it, 14
Step-by-step explanation:
6.7.35
LMNP is a rectangle. Find the value of x and the length of each diagonal
LN=5x-3 and MP=2x +8
(Simplify your answer.)
Answer:
Step-by-step explanation:
dang this one is hard lol
Answer:
Not for sure
Step-by-step explanation:
Solve the proportion Round as necessary to the nearest tenth
Answer:
z=[tex]\frac{9}{2}[/tex]
Other posible answers:
z=4.5
or
z=[tex]4\frac{1}{2}[/tex]
A number 1 is no less than -3.
Answer:
no
Step-by-step explanation:
because 1 can equal anything
Answer:
1 equals everything