Answer:
[tex] {10}^{th} \: term = \frac{5}{512} [/tex]
Step-by-step explanation:
geometric progression formula:
[tex] {n}^{th} \: term = ar ^{n - 1} [/tex]
given:
common ratio, r = 1/2
[tex]first \: term \: = 5[/tex]
1) find the value of a
[tex] {n}^{th} \: term \: = a {r}^{n - 1} [/tex]
we're finding the 1st term, so substitute 1 into n:
[tex] {1}^{st} \: term = a( \frac{1}{2} ) {}^{1 - 1} [/tex]
first term is 5. so we substitute 5 into the equation:
[tex]5 = a(1)[/tex]
[tex]a = 5[/tex]
2) find the 10th term
we're finding the 10th term, so substitute 10 into the equation and don't forget to substitute 5 into a:
[tex] {10}^{th} \: term = 5( \frac{1}{2} ) {}^{10 - 1} [/tex]
[tex] {10}^{th} \: term = 5( \frac{1}{512} )[/tex]
[tex] {10}^{th} \: term = \frac{5}{512} [/tex]
Andrew makes $10 per hour babysitting and $8 per hour working at the grocery store. He will need to make atleast $650 to buy a new computer. Are the variables defined correctly? (True or False) x = Hours babysitting y = Hours working at grocery store
Answer:
True
Step-by-step explanation:
Since babysitting and working at the grocery store are two different things, you would need two different variables.
So x and y would be the correct representation.
Hope this helps ya!!
A painter needs to paint the bottom of a circular pool. The pool has a radius of 30 feet. A store sells 5-gallon cans of paint. One gallon of paint covers 300 square feet. What is the smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool? Explain or show your reasoning.
Answer:
2
Step-by-step explanation:
the area of the radius 30 is 2827 and since 1 bucket can cover 1800 we will only need 2 buckets because we need a total of 2827 and 1 bucket covers 1800 so 2 buckets will cover 3600.
The smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool is 2 and this can be determined by using the unitary method.
Given :
A painter needs to paint the bottom of a circular pool. The pool has a radius of 30 feet. A store sells 5-gallon cans of paint.A store sells 5-gallon cans of paint. One gallon of paint covers 300 square feet.First, find the value of the area of the bottom of the pool. And it can be determined by using the below formula:
[tex]\rm Area = \pi r^2[/tex]
Area = 2827.43 square feet
Now, if one gallon of paint covers 300 square feet then 2837.43 square feet area covers by:
[tex]=\dfrac{2827.44}{300}\times 1[/tex]
= 9.43 gallons of paint
So, to cover the whole bottom area of the pool with paint then the amount of paint required is 9.43 gallons.
Now, if one can contain 5 gallons of paint then 9.43 gallons of paint is contained by :
[tex]=\dfrac{9.43}{5}[/tex]
= 1.886 [tex]\approx[/tex] 2
The smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool is 2.
For more information, refer to the link given below:
https://brainly.com/question/23368125
Write an equation for the following problem.
The cost of a babysitting service on a cruise is $10 for the first hour and $12 for each additional hour. If the total cost of
babysitting baby Aaron was $58, how many hours was Aaron at the sitter?
12x+10=58
10x+12=58
12x-58=10
10x+58=12
Answer: Aaron was at the sitter for 5 hours
Step-by-step explanation:
12x + 10 = 58
the 12x is for each hour after the first hour and the 10 is the first hour
-10 from each side
12x = 48
/12
x = 4
4 additional hours plus the original hour
In an acute triangle, the measures of two angles are 50° and 60°. What is the measure of the third angle?
Answer:
70 degrees
Step-by-step explanation:
The measure of all angles in a triangle are 180 always
1. Add 50 + 60 = 110
2. 180 - 110 = 70
Hope that helps dude
In the past year, Lizet has spent $7,440 on her rent. What is her unit cost
(dollars per month)?
Answer:
$620/month
Step-by-step explanation:
$7,440 / 12 = $620
Answer:
620 a month
Step-by-step explanation:
7440÷12monthes=620 per month
Christine purchased a prepaid phone card for $20. Long distance calls cost 18 cents a minute using this card. Christine used her card only once to make a long distance call. If the remaining credit on her card is $15.68, how many minutes did her call last?
Answer:
4 minutes and 32 seconds
Step-by-step explanation:
card $20.00-money left over $15.68 $20.00-$15.68 4.32
What are the coordinates of point A?
Answer:
the left side should be -5 the other side should be 7
Answer:
(7, -5)
Step-by-step explanation:
The number of sweets s that each friend gets is the number of sweets in a box n divided by the number of friends f the sweets are shared between. Enter a formula for the number of sweets each friend gets and enter the number of sweets each friend gets if there are 60 sweets and 12 friends.
Answer:
The number of sweets each friend gets = 5
Step-by-step explanation:
The number of sweets s that each friend gets = the number of sweets in a box n ÷ number of friends f the sweets are shared between
s = n ÷ f
s = n/ f
if there are 60 sweets and 12 friends.
That is,
n = 60 sweets
f = 12 friends
Find s,
s = n/ f
= 60 / 12
= 5
s = 5 sweets
The number of sweets each friend gets = 5
Alex earn 12% Commission on any of her monthly sales over $5,000 for sales for May were $6,750 how much commission did Alex earn
Answer:
you're question is complicated
Step-by-step explanation:
Answer:
u
Step-by-step explanation:
hb
17. Write a rational function in expanded form that satisfies the
following criteria:
• V.A. x=2
• SI.A y =5x-1
• Zero of function (-1,0)
pls help thank you<3
Answer:
[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]
Step-by-step explanation:
Given
VA; [tex]x = 2[/tex]
SLA: [tex]y = 5x - 1[/tex]
Zero of function: [tex](-1,0)[/tex]
Required
Determine the rational function in expanded form
Analyzing the vertical asymptote
The vertical asymptote is given as:
[tex]x = 2[/tex]
Subtract 2 from both sides
[tex]x - 2 = 2 - 2[/tex]
[tex]x - 2 = 0[/tex]
This means that the denominator must be [tex]x - 2[/tex]
Analyzing the zero of the function
The zero of the function is given as: [tex](-1,0)[/tex]
This means that [tex]x = -1[/tex], when [tex]y = 0[/tex]
Equate [tex]x = -1[/tex] to 0 by add 1 to both sides
[tex]x + 1 =- 1 + 1[/tex]
[tex]x + 1 =0[/tex]
This means that one of the numerators must be [tex]x + 1[/tex]
Analyzing the slant asymptote:
[tex]y = 5x - 1[/tex]
This means that one of the numerators must be [tex]5x - 1[/tex]
Hence, the function is:
[tex]f(x) = \frac{(5x - 1)(x+1)}{x - 2}[/tex]
Expand the numerator
[tex]f(x) = \frac{5x^2 + 5x - x - 1}{x - 2}[/tex]
[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]
Elaine and Kasmir share a $2500 prize in the ratio 3:2. How much money should they each receive?
Find m. Leave answer in simplest radical form.
1
30°
Answer:
m = 6√3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cos∅ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
We are given a right triangle. We can use trig to find the missing side length.
Step 2: Identify Variables
POV from angle measure
Angle = 30°
Adjacent Leg = m
Hypotenuse = 12
Step 3: Solve for m
Substitute [cosine]: cos30° = m/12Isolate m: 12cos30° = mEvaluate: 10.3923 = mRewrite: m = 6√3
GIVING BRAINLIEST ONCE AGAIN
Answer:
45
Step-by-step explanation:
divide 25 by 5 to see how they got that, which is 5. then multiply 9 by 5 bc you have to do the same thing, which is 45.
Answer:
5:9 = 25:45
Step-by-step explanation:
PLEASE HELP ME QUICK!!!!!
For proportional percent problems, why do you put a 100 on the bottom of the right proportional ratio (fraction)?
Answer:
because its out of 100
Step-by-step explanation:
cause it could be something else
please help! i’ll give brainliest! thank u!
Answer:
Negative with little correlation
It has negative slope if you imagine a line
A jar contains 5 blue marbles, 8 red marbles, 4 white marbles, and 3 purple marbles. Suppose you pick a marble at random without looking.
P(purple) =
p(white)=
p(not blue)=
2 to the -3 power over 2 to the -2 multiply 2 to the 6 power.
Step-by-step explanation:
Please gimme brainliest
I hope it's correct
The length between points on a map is 3 inches, 7 inches, and 10 inches. If the scale is one inch equals 25 miles, what are the distances in miles? 3 inches is miles 7 inches is miles 10 inches is miles
9514 1404 393
Answer:
3 inches ⇒ 75 miles7 inches ⇒ 175 miles10 inches ⇒ 250 milesStep-by-step explanation:
Each inch is 25 miles, so the number of miles is 25 times the number of inches.
3 in ⇒ (3×25 mi) = 75 mi
7 in ⇒ (7×25 mi) = 175 mi
10 in ⇒ (10×25 mi) = 250 mi
How are coordinate planes the same ????
22 points if u can answer
Answer: Its a trick question
Step-by-step explanation:
I did this yesterday
Answer:
They are the same because they all have an X-axis and a Y-axis
Step-by-step explanation:
sorry if im wrong lol
is this answer, right?
Answer:
1) Incorrect should be 35%, 2)incorrect should be 23%
Step-by-step explanation:
37 + 24 = 61 61 + 54 = 115 115 + 36 = 151 college students
1) 54 = x 2) 36 = x
151 = 100 151 = 100
151x/151 = 5400/151 151x/151 = 3600/151
x = 35.7... x = 23.8...
do not round do not round
up since you can't up since you can't
get more people get more people
Only 35 people out of the 250 to whom the offer was made refused it. What percent refused it?
Answer: 14% refused the offer.
Step-by-step explanation: Divide the number of refusals by the total sent.
35/250 = 0.14 Then multiply by 100 to change from decimal to percent.
The quick way to multiply by 100 is to move the decimal point two places to the right. (Delete the 0 at the left.)
0.14 × 100 = 14. So the answer is 14%
There are 123 goldfish in the tank. Goldfish like to swim 12 fish to a family. If 6 of the goldfish died before forming families, how many FULL families will be formed?
Answer:
Formed will be i think 9, but im not sure.
solve for x
3(x - 2) = 6x - 12
Answer:
The answer is 2
Step-by-step explanation:
Here's how I got it:
3(x - 2) = 6x - 12
Multiply 3 times x and 3 times 2, this is what you would get
3x - 6 = 6x - 12
Then, subtract the lowest x with the bigger X, this way you would have x on one side:
3x - 6 = 6x - 12
-3x -3x
This is what you should have after this:
-6 = 3x - 12
Now, to get the variable (letter that represents a number) by itself, you have to add 12 to both sides like this:
-6 = 3x - 12
+12 +12
You would get this:
6 = 3x
Finally, you have to get x by itself, so you have to divide 3 on both sides like this
6/3 = 3/3 x
That's why, your answer is 2
PLEASE HELP WILL GIVE BRAINLIEST AND 40 POINTS
Answer:
15. x+6+x+9+x+3=2(x+4+x+1)
3x+18=4x+10
x=8
16. 30x=10x+40
x=2
If a 5-foot man casts a 6-foot shadow, how tall is a tree that casts a
24-foot shadow?
Answer:
28.8 foot shadow
Step-by-step explanation:
to do that, you would have to make proportionate fractions. That would mean that you do 5/6 = 24/x. Then you would just cross multiply to get 5x = 144. Then you would divide to isolate x. That would give you 28.8
A bag of coins contains only quarters and dimes.
• The number of dimes in the bag can be represented by x.
• The number of quarters is 6 more than twice the number of dimes.
• There are a total of 276 coins in the bag.
What is x, the number of dimes in the bag?
helpp pls
Answer:
Number of dimes in the bag = 90
Number of quarters in the bag = 186
Step-by-step explanation:
Let
x = Number of dimes in the bag
y = Number of quarters in the bag
= 2x + 6
Total = 276
276 = x + 2x + 6
276 = 3x + 6
276 - 6 = 3x
270 = 3x
x = 270/3
= 90
x = 90
Number of dimes in the bag = 90
Number of quarters in the bag = 2x + 6
= 2(90) + 6
=180 + 6
= 186
Total = Number of dimes in the bag + Number of quarters
= 90 + 186
= 276
Evaluate the following functions to determine the range for each given domain.
3. f(x) = 5x + 6 D = {-3,0,5}
4. f(x) = -1 D = {-6,9,21}
please show work
Answer:
3. f' ( x) = 5
4. d= 69.21
I hope i helped
Flying to Havana with a tailwind a plane averaged 258 km/h. On the return trip the plane only
averaged 218 km/h while flying back into the same wind. Find the speed of the plane in still air
and the speed of the wind.
hi whats 750 X 2+ 5
also howdy my names venus or fork i go by they/them and if youd like to talk with me for a few minutes before i do an exam im ok with that!
Answer: 1505
Step-by-step explanation:
Answer:
1505
Step-by-step explanation:
Which expression is equal to the expression below?
(7•2)^7
A. 7^7 + 2^7
B. 7^7 • 2^7
C. 7 • (7•2)
D. 9^7
Answer:
c
Step-by-step explanation: