Answer:
d(5) = 5
Step-by-step explanation:
The nth term is given by :
[tex]d(n)=\dfrac{5}{16}\times 2^{n-1}[/tex] ...(1)
We need to find the 5th term of the above sequence. For this, put n = 5 in the above formula.
[tex]d(5)=\dfrac{5}{16}\times 2^{5-1}\\\\=\dfrac{5}{16}\times 2^4\\\\=\dfrac{5}{16}\times 16\\\\=5[/tex]
So, the 5th term in the above sequence is 5.
Answer:
5
Step-by-step explanation
a 300$ mountain bike is discounted by 30% and then discounted an additional 10% for shoppers who arrive before 5am. explain why taking off 30% and then 10% off is NOT the same as a 40% discount
I need some help please
Gracie is sharing 75 marshminnows among 4 of her friends. If each of her friends gets
the same number of marshminnows, and she gives them as many marshminnows as
possible, how many are left for Gracie?
none
3
18
19
Given:
Gracie is sharing 75 marshminnows among 4 of her friends.
Each of her friends gets the same number of marshminnows, and she gives them as many marshminnows as possible.
To find:
The remaining number of marshminnows she has.
Solution:
We have,
Total number of marshminnows = 75
Number of friends = 4
Divide 75 by 4.
[tex]4|\overline{75}|{18}\\ -4\\\text{\quad }\overline {35} \\ -32\\\text{\quad }\overline {\ 3\qaud }[/tex]
Here, quotient is 18 and remainder is 3. It means, each friend can be get maximum 18 marshminnows and the number of remaining marshminnows is 3.
Therefore, the correct option is B.
Help please
How are the properties of exponents used to rewrite expressions?
Answer: The five exponent properties are
Product of Powers: When you are multiplying like terms with exponents, use the product of powers rule as a shortcut to finding the answer. It states that when you are multiplying two terms that have the same base, just add their exponents to find your answer.
Power to a Power: When raising a power to a power in an exponential expression, you find the new power by multiplying the two powers together. ... Then multiply the two expressions together. You get to see multiplying exponents (raising a power to a power) and adding exponents (multiplying same bases).
Quotient of Powers: When you are dividing like terms with exponents, use the Quotient of Powers Rule to simplify the problem. This rule states that when you are dividing terms that have the same base, just subtract their exponents to find your answer. The key is to only subtract those exponents whose bases are the same.
Power of a Product: The Power of a Product rule is another way to simplify exponents. When you have a number or variable raised to a power, it is called the base, while the superscript number, or the number after the '^' mark, is called the exponent or power.
Power of a Quotient: The Power of a Quotient rule is another way you can simplify an algebraic expression with exponents. When you have a number or variable raised to a power, the number (or variable) is called the base, while the superscript number is called the exponent or power
You can use these any way you want to rewrite an equation.
Hope this helped
Step-by-step explanation:
You work for a poster company that sells prints of album covers. You sell posters at the prices given in the table.
Number of Posters Price
2 $40
3 $50
5 $70
10 $120
What is the best deal for posters?
A.
2 posters for $40
B.
3 posters for $50
C.
5 posters for $70
D.
10 posters for $120
Answer:
Option A is the best deal for posters
Solve the equation.
16% of 40 =
Answer:
16% of 40= 6.4
Answer:
6.4 would be your answer...Step-by-step explanation:
have this same question -_-
A bag contains 3 blue, 4 red and 3 yellow marbles. How many blue marbles must be added to the bag for it to contain 75% blue marbles?
Answer:
18
Step-by-step explanation:
Note that 75% = 75/100 = 3/4, so 3/4 of the marbles must be blue. Let x be amount of blue marbles added. We can write an equation using this.
75% = 3/4 = (3 + x blue marbles)/(3 + 4 + 3 + x total marbles) = (3+x)/(10+x)
Multiplying by 4(10 + x) on both sides:
3(10 + x) = 4(3+x)
30 + 3x = 12 + 4x
18 = x
Therefore, we must add 18 blue marbles for 75% of the marbles to be blue.
I hope this helps! :)
PLEASE HELP!!!
I dont understand how to work this problem out...
If possible, please explain how you got your answer. It would be very helpful!
Thanks!!
Answer:
its b
Step-by-step explanation:
I hope this helped
A roller coaster at a theme park takes fans on an exciting ride. In the first 20 seconds, it carries passengers up a 30-meter hill, plunges them down 30-meters, and takes them back up a 15-meter rise. How much higher or lower from the start of the ride are they after these 20 seconds?
step-by-step answer extremely needed please:)!
Answer:15 meters higher
Step-by-step explanation: 30-30+15
15 meters higher from the start of the ride are they after these 20 seconds.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Let's say they were initially at level x from ground
After the first 20 seconds.
Level = x + 30
Then plunges down
So,
Level = x + 30 - 30 = x level.
Now 15-meter rise
So,
Level = x + 15
Now level from initial = (x + 15) - x = 15 meter.
Hence "15 meters higher from the start of the ride are they after these 20 seconds".
To learn more about the arithmetic operators,
brainly.com/question/25834626
#SPJ6
Choose all of the equations for which x = 2 is a solution.
A. x + 3 = 5
B. +2 = 8
C. X+1=1
D. x - 2 = 4
EX - 7= -5
Is 5/4 a solution to the problem: 3(+9)=4−7+7.
Answer:
No the soultion is not equal to 1 1/4
The solution to the given question is either 6 3/4 or 4 /27
Step-by-step explanation:
Let
3(+9)=(4−7+7)x
27 = 4x
x= 27/4
x= 6 3/4 is the answer
or
Let
3(+9) x=(4−7+7)
27x = 4
x= 4/27
The plus sign inside the bracket indicates that 3 is multiplied with positive nine and -7 and +7 are cancelled and 4 is left behind.
If x is on the left side the answer will be 6 3/4 and if it is on the right side the answer is 4/27 .
In both cases the answer is not equal to 5/4 .
5/4 means 1 1/4 which is not equal to either 6 3/4 or 4/27
16 . Each child going to a science museum had to pay $9. One-third of this was for bus fare.
What was the admission fee for adults, if children get in for half price?
17. Brian's tyre is leaking at a rate of 10ml per minute. If it went unchecked for one and a
quarter of an hour, how much air would be lost?
18. Glasses were on sale at the rate of 4 for the price of 3. If they were $1 each, how much
would a dozen cost?
19. Everybody in a class plays soccer or Rugby. Half of the class plays soccer. Of those
that play soccer, half also play rugby. If 24 students play rugby, how many students are
in the class
20. Kylie's petrol tank was half full but she used one third of this petrol in travelling to Ryde
and back. What fraction of a tank remained after the trip?
Answer:
16. Adults = $12
17. 750 ml
18. $9
19. 96 students
20. 5/6x
Step-by-step explanation:
16.
A child pays = $9
Bus fee = 1/3 of $9
= 1/3× 9
= $3
Admission fee for a child= amount paid - bus fee
= $9 - $3
= $6
What was the admission fee for adults, if children get in for haprice
Children = 1/2 of adults
$6 = 1/2 × adults
Adults = 6÷ 1/2
= $12
Adults = $12
17.
Leaking rate = 10 ml per minutes
One and quarter of an hour
1 hour = 60 minutes
Quarter of an hour = 15 minutes
Total time = 75 minutes
Air lost in 75 minutes = 10 ml × 75
= 750 ml
18. 4 glasses for $3
1 dozen of glasses = 12
12 glasses = $x
4 = 3
12 = x
Cross product
4*x = 3*12
4x = 36
x = 36 / 4
= 9
x = $9
19.
Total students = x
1/2x = soccer
Rugby = 1/2 of 1/2x
= 1/2 * 1/2x
= 1/4x
24 = 1/4x
x = 24÷1/4
= 24 × 4/1
x = 96 students
20.
Total petrol = x
Petrol in the tank = 1/2x
Petrol used = 1/3 of 1/2x
= 1/3 × 1/2x
= 1/6x
Petrol remaining after the trip = x - 1/6x
= 6x-x/6
= 5/6x
Fencing How much fencing is required to enclose a circular garden whose radius is 28 m? Use 3.14 for . About nothing m of fencing is required to enclose the circular garden. (Type an integer or decimal rounded to the nearest hundredth as needed.)
Answer:
175.84 m
Step-by-step explanation:
Given that:
A circular garden which has a radius of 28 m.
[tex]\pi[/tex] = 3.14
To find:
The fencing required to enclose the circular garden ?
Solution:
Here, we are given a circle and its radius.
We are required to find the perimeter of the circle in order to find the fencing required to enclose the circular garden..
Formula for finding the perimeter of a circle is:
Perimeter = [tex]2\pi r[/tex]
where [tex]r[/tex] is the radius of the circle.
Using the given values in the formula:
Perimeter = [tex]2\times 3.14 \times 28[/tex] = 175.84 m
Therefore, 175.84 m of fencing is required.
Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest answer !!!!!!!!!!!!!!!!!
Answer:
x = 8√2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Trigonometry
[Right Triangles Only]: Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
We are given a right triangle. We can use PT to solve for the missing length.
Step 2: Identify Variables
Leg a = 8
Leg b = 8
Hypotenuse c = x
Step 3: Solve for x
Substitute [PT]: 8² + 8² = x²Exponents: 64 + 64 = x²Add: 128 = x²Isolate x: 8√2 = xRewrite: x = 8√2The value of 30 - (2 - 4) ÷ (-2) is _____.
Answer:
29
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
A contractor building an airport needs to know how far a water tower is away from
end of the runway. Using her diagram below can you determine how far away the
water tower is?
Answer:
B.
Step-by-step explanation:
tan(82)= X/100
100•[tan(82)]= [X/100] •100 Multiply each side by 100 to get the X by itself on the right side
X= to 711.537
Linda is putting money into a savings account. She starts with $350 in the savings account, and each week she adds $30. Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Linda has been adding money. Write an equation relating S to W. Then use this equation to find the total amount of money in the savings account after 11 weeks. Equation: ? X Total amount of money after 11 weeks: $ ]
Answer:
680
Step-by-step explanation:
30 times11 then you get 330 then add to 350
PLEASE HELP ME MWAH MWAH ;-;
A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are (1, 1), (1, 4), and (−3, 4).
The city planner wants to put a flower bed at the centroid of the park. What are the coordinates of the flower bed?
ANSWER: (__,__)
Answer:
pov you're in 2016
Step-by-step explanation:
uwu is anybody here QWQ
Which statement is true about the slope of the graphed line?
Answer:
I cannot say without a picture, send one and I'll be glad to help.
Find the product -3,-4.-2.5
Answer:
[tex]-30[/tex]
Step-by-step explanation:
[tex]-3(-4)(-2.5)[/tex]
Apply rule [tex]-(-a) = a[/tex]
[tex]=-3*4*2.5[/tex]
Multiply the numbers: [tex]3*4*2.5=30[/tex]
[tex]=-30[/tex]
Simplify: 20 - (-2) to the second power ÷ ( 7 - 9) × 13
A. 46
B. -104
C. 286
D. 262/13
Answer:
The answer to the statement provided is 46.
There are 550 people at the school carnival. If 385 of the people are
students, what percentage of the people at the school carnival are
students?
Answer:
70 percent
Step-by-step explanation:
Write this as a fraction: 385/550, then simplify to get 77/110-->7/10.
The fraction 7/10 is equivalent to 70%.
Answer:
70% i belive, Sorry if im wrong :c
Step-by-step explanation:
Any number that can be written as a fraction is called a
A percent
B proportion
C rational number
D percent proportion
x = 0 O 5x + 7 = 37 Plz answer I need da answer
Answer:
5x + 7 = 37
x= 1.97435
Step-by-step explanation: Hope this help
i need help with this ?
Answer:
-2 ≤x ≤10
Step-by-step explanation:
the domain refers to the x
the x is in between -2 and 10
A pizza shop sells pizzas that are 10 inches in diameter or larger.A 10 inch pizza costs 8$ each additional inch costs $1.50 and each addition topping costs 0.75
Apple stock fell 3% and is currently at $134 . What was the original amount this morning?
Answer:
138.02
Step-by-step explanation:
If the exponential function is decreasing, the b value has to be
If I had $2million to pay for 20 million meals, how much does each meal cost?
Answer:
$0.10
Step-by-step explanation:
Divide 2 million by 20 million:
2,000,000/20,000,000
= 0.1
So, each meal costs $0.10
HELP ASAP
1.A term that is a known number without variables. is called?
Answer:
constants
Step-by-step explanation:
Constants are the terms in the algebraic expression that contain only numbers. That is, they're the terms without variables. We call them constants because their value never changes, since there are no variables in the term that can change its value.