Answer:
$1280
Step-by-step explanation:
(20x1600)/100= 20% of 1600=
320
1600-320=1280
(8 x 10^-3) x (2 x 10^-4)
The fifth term of a geometric sequence is 32 and the eighth term is 4.
(a) Find the ratio. (2 marks)
(b) Find the first term. (2 marks)
(C) Find the sum of the first 50 terms of the sequence. (3 marks)
What is the first term?
Answer:
a. 1/2
b. 512
c. 1024
Step-by-step explanation:
The nth term of a geometric progression can be written as;
Tn = ar^n-1
where a is the first term, r is the common ratio and n is the term number
From the question;
Fifth term = ar^4 = 32
Eight term = ar^7 = 4
a. We want to find the common ratio
What to do here is that we can divide the 8th by the 5th term
ar^7/ar^4 = 4/32
r^3 = 1/8
r^3 = (1/2)^3
Thus r = 1/2
b. First term
we can make a substitution in any of the two given terms
Let’s use the fifth term
ar^4 = 32
a * (1/2)^4 = 32
a * 1/16 = 32
a = 16 * 32
a = 512
C. Sum of the first 50 terms
To calculate this, we use the sum of terms formula
Sn = a(1- r^n)/1-r
a = 512 , n = 50 and r = 1/2
Making the substitution;
Sn = 512(1-(1/2)^50)/1-1/2
Kindly note that (1/2)^50 will be infinitesimally small and will be close to zero
So we can approximate (1/2)^50 to be zero
Hence;
Sn = 512(1-0)/0.5
Sn = 512/0.5
Sn = 1024
8^10 ÷ 8^5 = 8^2 true false
Answer: I think the answer is false
Answer:
the correct answer is true
Step-by-step explanation:
the ratio of boys to girls in a class is 4 : 5
a) what is the fraction of boys in the class
b) what is the fraction of girls in the class
Answer: 4/9 of the class are boys and 5/9 of the class are girls.
Step-by-step explanation:
There are 9 nine students in total in the class since 4 + 5 = 9.Input the amount of boys and girls there are in the class in the numerator and have 9 as the denominator. 4/9 of the class are boys and 5/9 of the class are girls.An amusement park charges $12 for admission and $1.50 per ride r. Jeremy goes to the park with $42,
The equation that represents this situation is 12 + 1,50r = 42. Determine how many rides r Jeremy can
go on.
Answer:
12+ 1.50r = 42
1.50r = 42-12
1.5r = 30
r= 30/1.5 = 20
Step-by-step explanation:
Find the slope of the line parallel to the given line
y=8/3x-5
Answer:8/3
Step-by-step explanation: parallel lines have the same slope
Hey, I'd really appreciate some help. Thanks! I've attached the image :)
I really need an explanation, it's so confusing
Answer :0
Step-by-step explanation:a= -2 b= 5/2 c=-1/2
so a+b+c= -2+5/2 -1/2 =0
How many solutions does the following system of equations have?
v=3x +2
2v=5x+8
Answer:
The answer is C, zero solutions.
Step-by-step explanation:
y = 5/2x + 2
2y = 5x + 8
Multiply 2 to the first equation.
2y = 5x + 4
Compare it with the other equation
2y = 5x + 4
2y = 5x + 8
Cancel 2y and 5x on both sides.
Remaining:
4 = 8
4 ≠ 8. Therefore, the answer is C, zero solutions.
what is f(7) for the rule of f(x)=-5x+10
Answer:
f(7) = - 25
Step-by-step explanation:
To evaluate f(7) substitute x = 7 into f(x), that is
f(7) = - 5(7) + 10 = - 35 + 10 = - 25
L varies directly with the square of Z. L is 12 when Z is 2. Find the value of L when Z is 4.
Answer:
L = 48
Step-by-step explanation:
Given that L varies directly with Z² , then the equation relating them is
L = kZ² ← k is the constant of variation
To find k use the condition L = 12 when Z = 2 , then
12 = k × 2² = 4k ( divide both sides by 4 )
3 = k
L = 3Z² ← equation of variation
When Z = 4 , then
L = 3 × 4² = 3 × 16 = 48
Please answer ASAP. You need to find what the mistake Page made. WILL AWARD BRAINLEST TO WHOEVER GIVE CORRECT ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: She added 7x and 3y
Step-by-step explanation: The final answer should be 7x + 3y, not 10xy.
Answer:
She added 7x and 3y
Step-by-step explanation:
the final answer answer should be 7x + 3y, not 10xy. bc that is the mistake and ima give credit to the person who answered first bc it looks like i took the answer from them and i did not
have a blessed day byeee
Write and real-world problem that could be represented by the inequality below:
x+ 655 < 5x + 600
Answer:
Tiffany has a number of skittles plus 655 watermelon sour patch kids. Compared to Jake, Jake has 5 times more skittles than Tiffany, plus 600 watermelon sour patch kids. Write an inequality to represent this scenario.
I hope this helped! :) If it was correct for your question please give me brainliest!
-7y + 3 – 12 – 2y
What is the answer
Monica reads 7 1/2 pages of a mystery book in 9 minutes what’s her average reading rate in pages per minute
Answer:
0.83
Step-by-step explanation:
x+2/2x+3=y+1 rearrange and make x the subject
Answer:
x = y/2 - 1
Step-by-step explanation:
Solve for x:
2 x + 3 = y + 1
Hint: | Isolate terms with x to the left hand side.
Subtract 3 from both sides:
2 x = y - 2
Hint: | Solve for x.
Divide both sides by 2:
Answer: x = y/2 - 1
Which of the following could be in section D? A.√99 B.60/15 C.-20 D.9.2
Answer:
A. and B.
Step-by-step explanation:
A natural number by definition is a number that spans from 1 to 100 it can't have decimals or negative numbers.
A. Natural number, the square root of 99 is 11 which is in the span of 1 to 100.
B. includes a natural number when you divide 60/15 you get 4 which is in the span of 1 to 100.
C. Incorrect, includes a negative number so it's not a natural number.
D. Not a natural number it includes decimals.
If 4 tickets to a show cost$9.00, find the cost of 14 tickets.
Answer:
Step-by-step explanation:
Answer:
31.50 for 14 tickets
Step-by-step explanation:
We can use ratios to solve
4 tickets 14 tickets
-------------- = --------------------
9 dollars x dollars
Using cross products
4x = 9*14
4x =126
Divide each side by 4
4x/4 = 126/4
x =31.50
Atomic number tells you the number of ______________ contained in the nucleus of an atom. Which is always equal to the number of _____________ in an atom.
Answer:
The atomic number is equal to the number of protons in an atom
The atomic number tells you the number of protons in one atom of an element. It also tells you the number of electrons in a neutral atom of that element. The atomic number gives the “identity “of an element as well as its location on the Periodic Table.
Step-by-step explanation:
The atomic number is the number of protons in an atom of an element. For example, krypton's atomic number is 36. This tells us that an atom of krypton has 36 protons in its nucleus.
The atomic number tells you the number of protons contained in the nucleus of an atom. Which is always equal to the number of electrons in an atom.
What is an atom?An atom is the smallest possible unit of a chemical element.
There are protons and neutrons in the nucleus of an atom, and electrons outside the nucleus.
The atomic number indicates the number of protons or the number of electrons.
Therefore, Atomic number tells you the number of protons contained in the nucleus of an atom. Which is always equal to the number of electrons in an atom.
Learn more about atoms here:
https://brainly.com/question/1566330
#SPJ5
Simplify 7(exponent 6) multiplied by 7 (exponent 5)
Answer:
(7x7x7x7x7x7x7)x(7x7x7x7x7)
Step-by-step explanation:
The simplified version of [tex]7^6*7^5[/tex] is [tex]7^{11}[/tex]
The rule of multiplying exponents with like terms is to add the exponents.
If you want the fully simplified answer, its 1977326743
When traveling to the airport, your checked baggage must be under 50 pounds. There are about 2.2 lbs. in one kilogram. What is this weight in kilograms? Round to the nearest tenth. *
I need help
Answer:
22.7 kg
Step-by-step explanation:
Using a conversion factor:
50 lb × (1 kg / 2.2 lb) = 22.7 kg
Using a proportion:
1 kg / 2.2 lb = x kg / 50 lb
2.2x = 50
x = 22.7
HELO ME PLEASE I NEED THIS NOW
Answer:
172.05
Step-by-step explanation:
formula to find regular pentagon=1/4 root 5(5+2root5)a^2
Solve
(6.0 x 10 ^4) + (3.0 x 10 ^4)
Answer:
9x10000 or 9.0 x 10^4
Step-by-step explanation:
6x104+3x104
Simplifies to:
9x10000
=9x10000
Mark Brainliest?
Answer:
9.0 x 10^4
Step-by-step explanation:
(6.0 x 10 ^4) + (3.0 x 10 ^4)
=> 6 x 10000 + 3 x 10000
=> 10000(6+3)
=> 9(10000)
=> 9 x 10^4
=> 9.0 x 10^4
Plzzz help!!!! DUE TODAY!!!!! I AM WILLING TO GIVE BRAINLIEST!!!!! Use the values x=−0.5, 0, 1 to prove your solution to the equation 5+x−12=2x−7. In your final answer, include all of your calculations.
4 questions, if you dont know all of them please just help with at least 1. i have crossed out the ones i dont need help with. help me for brainliest <3
Answer:
the part you crossed out makes it look like a person's eyes and eye brows lol
Step-by-step explanation:
When an exponent is a negative number, we can think of it as taking the...?
Answer:
We can think of it as the zeros after the decimal point.
Step-by-step explanation:
Negative exponents always move the number to the right putting the decimal in front of it.
Thank you to whoever can help me with this problem
Answer:
x = 12
Step-by-step explanation:
Step 1: Write out equation and define variables
f(x) = -5x + 1
f(x) = -59
Step 2: Substitute
-59 = -5x + 1
Step 3: Solve
-60 = -5x
12 = x
x = 12
Simplify the following expression by combining like terms 5x^2 + 6x - 3 + 4x^2 + - 8x +2
Pls help Plz help PLZ help
Answer:
Step-by-step explanation:
E=9x-38
F=2x+40
9x+2x+2=90
11x=90-2
11x=88
x=88/11=8
F=2*8+40
16+40
=56
You have $700 to buy new carpet for your bedroom right and solve in any quality that represents the cost per square foot that you can pay for the new carpet. Specify the units of measure in each step
If you can show the steps it’ll be helpful
(1/4)^-3/2. The topic is indices.
Answer:
8
Step-by-step explanation:
The minus turns the base upside down
(1/4)^-3/2 = 4^(3/2)
The square root of 4 is 2
2^3 = 8
So the answer is 8.