Answers
Answer:
Recursive
Explicit
Step-by-step explanation:
An arithmetic sequence an be represented by a recursive rule which gives the first term and defines the nth term by relating it to the previous term, or by an explicit rule which defines the nth term as a function of n.
The recursive rule is that we have the initial term. To find the subsequent term, we will take that previous term and add it to our common difference.
Hence, we are relating the previous terms to define the nth term.
For the explicit rule, we simply have a function of n. To find the nth term, we can substitute our desired term n for n and evaluate.
Related Questions
Miguel drives 220 meters up a hill that makes an angle of 4o with the horizontal ground. To the nearest tenth of a meter, what horizontal distance has he covered? Only round your answer once.
Answers
Answer:
168.5 meters is the horizontal distance covered
Step-by-step explanation:
Here, we simply want to calculate the value of the horizontal distance traveled
This is same as calculating the horizontal component
What we have here will be a right-angled triangle with 220 as the hypotenuse and the horizontal distance as the adjacent
So we make use of cos
cos 40 = x/220
x = 220 cos 40
x = 168.53 meters
To the nearest tenth, this is 168.5 meters
A card is drawn from a standard deck of 52 cards. What is the probability this card will be a king or an ace?
A. about 3.9%
B. about 7.7%
C. about 15.4%
D. about 50%
Answers
Answer:
C. about 15.4%
Step-by-step explanation:
There are 52 cards in a deck
There are 4 kings and 4 aces
so, 8/52 is the chance of getting either of those two.
8/52 is about 0.1538 or 15.38%
15.38% rounded would be 15.4%
I need help someone help me out please
Answers
Answer:
(multiple)
Step-by-step explanation:
it says 2,0 which 2 is the bottom line. You go to 2 at the bottom then go up to 0. Therefore, 2 is C. Start on the bottom, and move your finger up until you hit the second number. Right in the middle of that is your answer. Hope this helps! :)
find the values of x, y, and z
Answers
Answer:
PLEASE MARK AS BRAINLIEST
Z = 130
Y = 50
X = 130
Step-by-step explanation:
hope this helped
If sin t = -8/17 and t is a quadrant III angle, find cot t
Answers
Answer:cot t = 1.875
[tex]sin t=\frac{-8}{17}[/tex] but sin²t + cos²t = 1 ⇔ cos²t = 1 - sin²t
⇔cos t = [tex]\sqrt{1-sin^{2}t }=\sqrt{1-(\frac{-8}{17})^{2} }=|\frac{15}{17}|[/tex]
but t is a quadrant III angle => cos t = [tex]\frac{-15}{17}[/tex]
=> cot t = [tex]\frac{-15}{17}:\frac{-8}{17}=\frac{15}{8}=1.875[/tex]
Step-by-step explanation:
HELP PLZ PLZ PZZZZZZZZZZZ
Answers
Answer:
C
Step-by-step explanation:
Answer: Distrubutive Property
Step-by-step explanation:
Distrubutive Property is when you have a number, then you have an equation in parenthesis next to it.
Please help:) Due soon!:)
Is it:
A: y-4= -2/3(x+3)
B: y-2= -2/3(x-6)
C: y+4= 2/3(x-3)
D: y+6= 2/3(x-2)
Answers
someone please help...
Answers
Answer:
2 1/3
1 4/3
2.333...
233.3...%
Step-by-step explanation:
Jody's older brother is only three years less than twice Jody's age. If the sum of their ages is 30, write an equation (do not solve) to find the age of Jody's brother.
Answers
Answer:
y = 2x-3
Step-by-step explanation:
Twice the age means 2x
three less means -3
2x -3 = y
y = 2x -3
Brainliest appreciated!
HURRY plzz Identify to corresponding side to side HG.
Answers
Answer:
it would be EC (B)
Step-by-step explanation:
I think the answer is b sorry if its whrong and good luck!
A chef uses 2 tablespoons of olive oil for every 3 tablespoons of butter. How much olive oil is needed for each tablespoon of butter?
Answers
Answer: 2/3
Step-by-step explanation: You take the 2 and divided it by 3 but your going to get a long decimal so you can put it into a fraction of 2/3
Answer:
2/3
Step-by-step explanation:
2 divided by 3
Which expression is undefined
Answers
Answer:
A
Step-by-step explanation:
Any rational expression where the denominator is zero is undefined.
The only expression where the denominator is zero is A [tex]\frac{7}{0}[/tex]
A landscape architect is designing a rectangular flowerbed to be border with 28 Plants that are placed 1 m apart. He needs an inner rectangular space in the center for plants that must be 1 m From the border of the bed and that require 24 square meter for planting. What should the overall dimensions of the flowerbed be?
Answers
Answer:
length = 8m and width = 6m
Step-by-step explanation:
We are told that 28 Plants that are placed 1 m apart. This means that total perimeter of rectangular space = 28
Thus;
2L + 2W = 28
Divide both sides by 2 to get;
L + W = 14 - - - (eq 1)
Where;
L is length
W is width
Furthermore, we are told that he needs an inner rectangular space in the center for plants that must be 1 m From the border of the bed and that require 24 square meter for planting.
This means that;
(L - 2) × (W - 2) = 24
(L - 2)(W - 2) = 24
Divide both sides by (W - 2) to get;
L - 2 = 24/(W - 2)
From eq(1),we can say that;
L = 14 - W
Thus;
14 - W - 2 = 24/(W - 2)
(12 - W) = 24/(W - 2)
Multiply both sides by (W - 2) to get;
(12 - W)(W - 2) = 24
12W - W² + 2W - 24 = 24
W² - 14W + 48 = 0
From quadratic formula, we have;
[-(-14) ± √(-14)² - 4(1 × 48)]/(2 × 1)
This gives;
W = 8 or 6
From earlier, we saw that L = 14 - W
Thus, L = 14 - 6 = 8 or L = 14 - 8 = 6
Since values of W and L are similar, we will choose the higher value to be the length and the smaller value to be the width.
Thus, length = 8m and width = 6m
HCF of 16, 50, 80 I need it please help me
Answers
Answer:
HCF = 2
Step-by-step explanation:
➲The HCF or GCF is the highest factor that occurs in all listed numbers, so lets start by listing all the factors and find the highes shared number.
▶The factors of 16 are: 1, 2, 4, 8, 16
▶The factors of 50 are: 1, 2, 5, 10, 25, 50
▶The factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
➲As we can see the highest number they share is 2 so the HCF or GCF is 2.
Brainliest is much appreciated! Hope this helped!
please solve both questions, i'm very confused! thank you
Answers
Answer:
Step-by-step explanation:
These types of problems can be solved with substitution.
We just have to translate the word problem into math.
#1:
F = family, I = individual
[tex]F + I = 188\\95F + 42I = 12,507[/tex]
[tex]F = 188-I\\95(188-I) + 42I = 12507\\17860 - 95I + 42I = 12507\\-53I = -5353\\I = 101\\\\F + I = 188\\F + 101 = 188\\F = 87[/tex]
87 Families, 101 individuals
#2:
The perimeter is 899 meters. The perimeter can be defined as:
[tex]2L + 2W = P\\2L + 2W = 899[/tex]
We are also given that
[tex]2L = W - 100\\so\\2L + 2W = 899\\W- 100 + 2W = 899\\3W = 999\\W = 333\\\\L = \frac{W-100}{2} = \frac{333-100}{2} = \frac{233}{2}[/tex]
W = 333 meters, L = 233/2 meters
Willy Wonka has x chocolate bars in his factory. He gives one third of the chocolate bars to Charlie, and eats one half of the remaining chocolate bars. If he is left with 90 chocolate bars in the factory, what is the value of x?
Answers
Answer: The value of x= 270
Step-by-step explanation:
Given: Willy Wonka has x chocolate bars in his factory.
Chocolates he gave = [tex]\dfrac13 x[/tex]
Remaining chocolates = [tex]x-\dfrac{x}{3}=\dfrac{2x}{3}[/tex]
Half of the remaining chocolate bars = [tex]\dfrac12\times\dfrac{2x}{3}=\dfrac{x}{3}[/tex]
Now , Chocolate left [tex]x-\dfrac{x}{3}-\dfrac{x}{3}=\dfrac{3x-2x}{3}=\dfrac{x}{3}[/tex]
As per given , [tex]\dfrac x3=90[/tex]
[tex]\Rightarrow\ x=90\times3=270[/tex]
Hence, the value of x= 270
Which statements can be used to justify the fact that two right angles are supplementary? Select two options.
A right angle measures 90°.
If two angles are complementary, the sum of the angles is 90°.
If two angles are supplementary, the sum of the angles is 180°.
A complementary angle is one-half the measure of a supplementary angle.
A supplementary angle is twice the measure of a complementary angle.
Answers
Answer:
Which statements can be used to justify the fact that two right angles are supplementary? Select two options.
* A right angle measures 90°.
If two angles are complementary, the sum of the angles is 90°.
* If two angles are supplementary, the sum of the angles is 180°.
A complementary angle is one-half the measure of a supplementary angle.
A supplementary angle is twice the measure of a complementary angle.
Step-by-step explanation:
(A) and (C)
A right angle measures 90°, hence the sum of two right angles is 180° (supplementary)
AnglesAn angle is formed when two lines intersect each other. Two angles are said to be supplementary if their measures add up to 180 degrees while Two angles are called complementary if their measures add up to 90 degrees.
To justify the fact that two right angles are supplementary. Firstly a right angle measures 90°, hence the sum of two right angles is 180° (supplementary)
Find out more on Angles at: https://brainly.com/question/25770607
After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests you start by jogging for 14 minutes each day. Each week after, he suggests that you increase your daily jogging time by 7 minutes.
Answers
What’s the correct answer?
Answers
Answer:
B
Step-by-step explanation:
The question said the person bought a shirt which means 1 and 3 pairs of pants which means multiple but we don’t know how many so we substitute that ? for a x so 15 + 3x =117
Answer:
B
Step-by-step explanation:
It is B because we do not know the price of the three pants but know that the total is 117 and the price of the t-shirt is $15
A cow is eating green grass that grows in a field.
Which type of organism is the grass in this scenario
consumer
decomposer
prey
producer
Answers
A cow is eating green grass that grows in a field. The grass in this scenario is the producer.
'This is a basic food chain. The grass is a living organism that utilizes energy from the sun to make its own food through an interaction called photosynthesis. Then, different creatures eat the grass; it is their wellspring of energy.
Every living organism (plants and creatures) should eat food for the endurance of some sort or another. Plants make their own food through an interaction called photosynthesis. Using the energy from the sun, water, and carbon dioxide from the air and nutrients, they artificially make their own food. Since they make or produce their own food they are called makers.
Organisms that don't make their own food should eat either plants or creatures. They are called buyers. A few creatures get their energy from eating plants while different creatures get energy in a roundabout way from plants by eating different creatures that previously ate the plants.
Creatures that eat just plants are called herbivores. Creatures that eat the two plants and other creatures are called omnivores. Creatures that eat just different creatures are called carnivores.
A few creatures eat just dead or decaying materials and are called decomposers.
to know more about energy click here:
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Solve this please!!!!!
Answers
21) Answer is x=15
Answer:
20) x=76
21) x=15
Step-by-step explanation:
20) 152+x-48=180
76=x
152+76-48=180
21) 90=6x
x=15
90=(6)(15)
Write an equation: Gianna finds $20 on the floor, and she starts saves her allowance
of $5 every week.
Answers
Answer:
5x +20
Step-by-step explanation:
If Balenciaga advertised a sale that gave customers a ⅕ discount, what is the new price of a pair of $1500 sunglasses?
Answers
Answer:
$300
Step-by-step explanation:
1/5 of 1500 is 300
Answer:
$300
Step-by-step explanation:
The new price of the sun glasses is $300 dollars...because
1/5=20%, so...
20% of 1,500
You would change 20% to a decimal giving you
.20*1,500
300
Decide which type of graph will best represent the fact
that the majority of students like pepperoni pizza.
Answers
Answer:
Bar graph
Step-by-step explanation:
Have a good day!
what is the slope of each side of the triangle? the sides are A(-2,4) B(-1,1) C(2,3)
Answers
Answer:
The slopes of three sides of triangle are as follows:
AB = -3
BC = 2/3
AC = -1/4
Step-by-step explanation:
The slope is denoted by m and is calculated using the formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
The given vertices are:
A(-2,4) B(-1,1) C(2,3)
The sides will be:
AB, BC, AC
Let m1 be the slope of AB
Let m2 be the slope of BC
Let m3 be the slope of AC
Now
[tex]Slope\ of\ AB = m_1 = \frac{1-4}{-1+2} = \frac{-3}{1} = -3\\Slope\ of\ BC = m_2 = \frac{3-1}{2+1} = \frac{2}{3}\\Slope\ of\ AC = m_2 = \frac{3-4}{2+2} = \frac{-1}{4} = -\frac{1}{4}[/tex]
Hence,
The slopes of three sides of triangle are as follows:
AB = -3
BC = 2/3
AC = -1/4
Harper needs to buy some new leotards for gymnastics practice. At the sporting goods store, she finds 2 leotards on sale for $24.80 each. She buys them both and finds out that she saved a total of $22.38. If she saved the same amount on each one, what was the original price of each leotard?
To solve this problem, you will need to do two functions, The first thing you need to do is
[ Select ]
and then
[ Select ]
.
Answers
Answer:
34.99
Step-by-step explanation:
22.38 divided by 2= 11.19 24.80 + 11.19= 34.99
hope this helps you :) have a great day and stay safe!
Question 1: The least common multiple of 4 and 10 is:
a) 5
b) 20
c) 10
d) 12
Question 2: The LCM of 3, 8 and 12 is:
a) 24
b) 12
c) 36
d) 100
Question 3: Which of the following is NOT true about prime numbers?
a) They have exactly two factors
b) 1 is a factor of every prime number
c) No prime number have its ones digit zero.
d) All prime numbers are odd numbers.
Answers
Answer:
Q1. 20
Q2. 24
Q3. D
Step-by-step explanation:
Question #2 is Letter A. 24
Question #3 is Letter D.
What is the formula for area of a parallelogram?
Use x for multiplication and / for division is necessary.
Answers
Answer:
The area of a polygon is the number of square units inside the polygon. Area is 2-dimensional like a carpet or an area rug.
Step-by-step explanation:
A parallelogram is a 4-sided shape formed by two pairs of parallel lines. Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is:
A = B * H where B is the base, H is the height, and * means multiply.
The base and height of a parallelogram must be perpendicular. However, the lateral sides of a parallelogram are not perpendicular to the base. Thus, a dotted line is drawn to represent the height. Let's look at some examples involving the area of a parallelogram.
A $120 wagon is on sale for 15 percent off. What is the sale price of the wagon?
$18
$102
$105
$108
Answers
Answer:
The answer is $102.
Step-by-step explanation:
The main question here is, what is the sale price of the wagon?
1. Let's compute for 15% of 120.
15%×12015/100×1203/20×1203×6182. So now let us subtract 18 from 120.
You should get 102.Hope this helps and if you could mark this as brainliest. Thanks!
The required sale price of the wagon is $102. So the correct answer is an option (b).
What is the percentage?The percentage is the ratio of the composition of value to the overall composition of value multiplied by 100.
Here, to calculate the sale price of the wagon, we need to find out the discount amount first, and then subtract it from the original price.
Discount amount = 15% of $120
= 0.15 x $120
= $18
Sale price = Original price - Discount amount
= $120 - $18
= $102
Therefore, the sale price of the wagon is $102. So the correct answer is an option (b).
Learn more about percentages here:
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PLEASE ANSWER ASAP
If f(x)= 5x-8 which of the following is the inverse of f(x)?
A. F^1(x) = x-5/8
B. F^1(x) =x-8/5
C. F^1(x) = x+8/5
D. F^1(x)= x+5/8
Answers
Answer:
c
Step-by-step explanation:
For an inverse function you take f(x) and turn that to y then you switch x and y. So you should start off with y= 5x -8. so then you switch x and y so x= 5y - 8. So then you solve. You subtract 8 from both sides and divide by 5 and you get F(x) inverse = x + 8/5