Answer: 512/9 and 6,144/81
Step-by-step explanation:
The sequence is:
18, 24, 32, 128/3, ...
Now, is easy to see that it is not an arithmetic sequence, so we can jump to see if this is a geometric sequence.
To see this, we must see at the quotient of two consecutive numbers in the sequence, and that quotient must be the same for any pair of consecutive elements.
24/18 = 1.33...
32/24 = 1.33...
(128/3)/32 = 1.33....
The quotient is constant, then this is a geometric sequence.
Then we can write the n-th term as:
Aₙ = Aₙ₋₁*1.33...
And we first should write 1.33 in a way that is easier to use:
1.33... = 1 + 0.33...
The left side can be writen as:
0.33... = 0.33...*(10/10) = (3.3.../10)
Now we can subtract the initial number:
(3.33..../10) - 0.33... = 3/10 = 0.33...*(9/10)
0.33... = (3*10)/(9*10) = 30/90 = 3/9
then we have:
1.33... = (1 + 3/9) = (9/9 + 3/9) = (12/9)
Then the two next terms are:
(128/3)*(12/9) = 128*4/9 = (512/9)
And the next term is:
(512/9)*(12/9) = (6,144/81)
Then the first six terms are:
18, 24, 32, 128/3, 512/9, 6,144/81
10 + (-4) Show Example
Answer:
6
Step-by-step explanation:
10
-6
=6
Adding a negative number is simply subtraction.
10-4=6
4/5 2/3 13/15 7/9. Order fractions least to greatest
Answer:
2/3 7/9 4/5 13/15
Step-by-step explanation:
Suppose two trains leave a station at the same time, traveling in opposite directions. Train B travels 10 mph faster than Train A. In 4.5 hours, the trains are 432 miles
apart. Find the speed of each train.
Train A's speed = x
Train B's speed = x + 10
4.5(x + x + 10) = 432
Distribute both sides by 4.5
x + x + 10 = 96
Combine like terms.
2x + 10 = 96
Subtract 10 from both sides.
2x = 86
Divide both sides by 2
x = 43
Train A = x = 43 mph
Train B = x + 10 = 43 + 10 = 53 mph
Speed is the ratio of distance and time.
Speed = Distance /Time
Distance = Speed x Time
If Train B travels 10 mph faster than Train A.
The speed of train A is 48 mph.
The speed of train B is 58 mph.
What is speed?Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
Example:
The speed of a car moving 4km in 2 hours is 2km per hour.
We have,
Train A:
Speed = x
Train B:
Speed = x + 10
Speed = Distance / Time
Distance = Speed x Time
At time = 4.5 hours, the train is 432 miles apart.
This can be written as,
Distance = (Speed of train A + Speed of train B) x Time
432 = (x + x + 10) x 4.5
Divide both sides by 4.5.
432 / 4.5 = 2x + 10
96 = 2x + 10
Subtract 10 on both sides.
96 - 10 = 2x
86 = 2x
Divide both sides by 2.
2x = 96
x = 96/2
x = 48
Now,
x + 10 = 48 + 10 = 58
Thus,
If Train B travels 10 mph faster than Train A.
The speed of train A is 48 mph.
The speed of train B is 58 mph.
Learn more about speed here:
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Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation.
Slope,=4 passing through (7,5)
What is the point-slope form of the equation of the line?
?
Answer:
Step-by-step explanation:
y - 5 = 4(x - 7)
y - 5 = 4x - 28
y = 4x - 23
Which unit should be used to measure mass of pencil?
Answer:
Grams
Step-by-step explanation:
Pencils are pretty light, so they should be measured in grams.
Answer:
grams :)
Step-by-step explanation:
I looked it up
Vishal was interested in the relationship between a person's age and their musical preferences. He called all
the numbers listed in his city's telephone directory, and whenever someone answered and agreed to be
surveyed, he asked them for their age and interviewed them about their musical preferences.
Once he was done, he analyzed his results and found that younger people prefer pop and hip-hop music
while older people prefer jazz and classical music.
What type of statistical study did Vishal use?
Choose 1 answer:
Sample study
Experiment
Observational study
Answer:
Sample study
Step-by-step explanation:
Sample study is a type of statistical study that is done by taking samples from respondents for any research purpose.
In this type of statistical study, a group of people are selected and asked some questions or data collected.
The type of statistical study that Vishal used was Sample Study because he collected data from a group of respondents to arrive at a hypothesis.
Vishal study of relationship between people's age & musical preferences is 'Observational Statistical Study'
Given : Vishal approached all people in city, enquired willing ones about age & musical preferences, & analysed conclusion thereafter.
Vishal used Observational Statistical Study, as :
Sample study denotes - component step of choosing few representatives ie sample units from all ie population units. It is a part of all statistical studies, & not a type of study in itself. Observational Study - involves studying the sample units in natural uncontrolled or un intervened setup , based on the variable/ traits or relationship study needed by nature of study. Experimental Study - involves studying & analysing variables traits or relationships, in manipulated, controlled or artificially treated experiment setup.Vishal collects sample from his city & studies them as it is, without any artificial intervention. Hence this natural enquiry based study of age & musical preferences is Observational Study
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PLEASE HURRY IM GIVING BRAINLIEST AND 50 POINTS!!! for the function g(x) = x - 2x^2, find g(-3) + 13
Hey there! I'm happy to help!
If we have g(-3) we plug -3 into our function as x.
-3-2(-3)²
-3-2(9)
-3-18
-21
g(-3) is -21, so now we just add 13.
-21+13=-8
The answer is -8.
Have a wonderful day! :D
3
Simplify the following expression.
99 + 5 [15 – (17 - 6)]
O A.
229
ОВ.
119
OC.
163
Reset
Submit
2 of 10 Answere
Answer:
416 is your answer
hope this helped you
please mark as the brainliest (ㆁωㆁ)
Answer:
119
Step-by-step explanation:
Following the order of operations as stated in PEMDAS
Given
99 + 5 [ 15 - (17 - 6) ] ← evaluate parenthesis
= 99 + 5 (15 - 11)
= 99 + 5( 4) ← evaluate multiplication
= 99 + 20 ← evaluate addition
= 119
Is the following number an integer?
30/6
Answer:
NO ! For 30, the answer is: No, 30 is not a prime number. The list of all positive divisors (i.e., the list of all integers that divide 30) is as follows: 1, 2, 3, 5, 6, 10, 15, 30.
Step-by-step explanation:
Evaluate v(x) = 14 – 3x when x = -3,0, and 4.
v(-3) =
v(0) =
v(4) =
[tex]v(x) = 14 - 3x\\v(-3) = 14 - 3 \cdot (-3) = 14 + 9 = 23\\v(0) = 14 - 3 \cdot 0 = 14 - 0 = 14\\v(4) = 14 - 3 \cdot 4 = 14 - 12 = 2[/tex]
Evaluate 4-0.25g+0.5h when g=10 and h=5
1. Set A represents rational numbers. Set B represents integers. Which diagram shows
the numbers placed in the correct
sets?
Set A
Set A
1.5
1
10
3
3.1
С
Set B
Set B
-12
Set A
Set A
7.1
10
2
win
mi
B
D
Set B
Set B
-3.4
-6.8
Answer: Choice C) Upper right corner (aka northeast corner)
====================================================
Explanation:
Rational numbers are ones where we can write as a fraction of two integers. Any rational number is in the form a/b where a,b are integers and b is nonzero.
Terminating decimals can be written as a rational number. Something like 3.1 is equivalent to 31/10.
Of the four answer choices, only choice C is correct.
Choice A has the value '3' as a rational number, but it doesn't have it in the set of integers as well. So that's why choice A is incorrect.
Choice B has -3.4 in the set of integers, which is not correct. Integers do not have any decimal portion. The same applies to choice D also. We can rule choices B and D out.
how do you multiply a fraction with a mixed number
Answer: Covert the mixed number to an improper fraction for them to be too simple fractions and multiply them.
Step-by-step explanation:
By multiply fraction by a mixed fraction you will have to rewrite the mixed number as an improper fraction.
For example ,
1 1/2 is a mixed fraction. If you convert it to improper fraction, you will get 3/2 then you multiply.
The following quadratic equations can be solved by extracting square roots x²=36
Answer:
x= 6
Step-by-step explanation:
you can do 6 squared, which is also equal to 6 x 6
Natalie wants to rent a car for the day. She only has $48 total to spend. There is a flat fee (one-time fee) of $26 for the day. In addition to the flat fee, there is a charge of $0.75 per mile. How many miles can Natalie drive?
Graph the solution of 5 ≤ 9 - 4a
A) A
B) B
C) C
D) D
Answer:
D
Step-by-step explanation:
♡ The Question ♡
Graph the solution of 5 ≤ 9 - 4a
A) A
B) B
C) C
D) D
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Answer ♡
-I believe the answer should be the first choice, A!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
-No Explanation/Step-By-Step provided!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ Tips ♡
-No Tips provided!
Rewrite the following linear equaton in slope intercept form Y-5=3(x+1)
Aaron is a high school graduate working as a retail clerk. He earns a median salary for a high school graduate. Aaron is thinking about going to college to get an associate's degree. If he completes his degree in 2 years and college costs total $30,000, how long will it take Aaron to recover his investment, assuming that he earns the median salary and continues to work full time while he is attending school? A graph titled Median Annual Household Income by Educational Attainment of Householder, 1997. Professional degree, 92,228 dollars; doctorate degree, 87,232 dollars; master's degree, 68,115 dollars; Bachelor's degree or more, 63,292 dollars; Bachelor's degree, 59,048 dollars; associate degree, 45,258 dollars; some college, no degree, 40,015 dollars; high school graduate, 33,779 dollars; ninth to twelfth grade, 19,851 dollars; than twelfth grade, 15,541 dollars. a. about 2.5 years b. about 5.5 years c. about 8.5 years d. about 11.5 years
Answer:
i would say c
Step-by-step explanation:
One rectangle is divided into 4 parts how much is one part
This question is unanswerable unless the answer is 1/4 rectangle.
Sally took 3 tests. Her average on these tests will give her her grade. Find Sally’s grade.
Scores: 65 90 85
Answer:
80
Step-by-step explanation:
Add up all 3 and divide by 3 (how much numbers there are) 65+90+85=240÷3=80
john is going to invest $1234 at 9% simple interest. how long will it take for it to be worth $2308? use I=Prt and solve
Answer:
approximately 21 years
Step-by-step explanation:
-From the problem, we are given the equation I = Prt
-We're also given three numbers
-From that, we can determine which number should be plugged into the equation:
P = $1234 (this is the principle amount/original amount)r = 0.09 (this is the rate of simple interest)I = $2308 (this is the ending amount)-The only value we are not given is t as we need to solve for this value
-Now plug all these values into the equation:
I=Prt$2308 = ($1234)(0.09)t$2308 = 111.06tDivide both sides by 111.06t = 20.7816It takes approximately 21 years for the investment amount to be worth $2308.
which fraction equals a repeating decimal 3/10 1/3 6/12 3/4
First turn them all into decimals.
Divide the numerator (top) by the denominator (bottom).
3/10 is .3 and doesn’t repeat.
1/3 is .333333.....
6/12 is .5, doesn’t repeat.
3/4 is .75, also doesn’t repeat.
1/3 is the repeating decimal.
A footballer scores in one out of five matches. What percentage of the matches does the footballer score in?
Answer:
20%
Step-by-step explanation:
100 divided by 5 =20 20x1=20
Factor by grouping.
8y2 + y + 40y + 5
A gallon of gas cost $2.16. Rob buys 13.5 gallons of gas. How much did he pay?
Answer:
$29.16
Step-by-step explanation:
Each gallon of gas is $2.16.
13.5 gallons of gas is 2.16 (13.5) = $29.16.
A grid that represents 1 whole , what would you shade for 0.4 and 0.04? 100 squares in rows of 10.
Answer:
40/4 shaded in squares
Step-by-step explanation:
for 0.4, since 100 is a whole, multiply by 100.
0.4*100=40
shade in 40 squares
for 0.04, multiply by 100
0.04*100=4
shade in 4 squares
Luke Skywalker mixes bantha milk that is 16% protein with tauntaun milk that is 9% protein. How many pounds of each should he mix to get a 350-pound mixture that is 12% protein?
b = amount of bantha milk
t = amount of tauntaun milk
b + t = 350
0.16 b + 0.09 t = 0.12(b + t) = 42
t = 350 - b
0.16 b + 0.09 (350 - b) = 42
0.16 b + 31.5 - 0.09 b = 42
0.07 b = 10.5
b = 150
t = 200
Answer the question in the file
Answer:
30
Step-by-step explanation:
50-2×(3^2+1)
50-2×(9+1)
50-2×(10)
50-20
30
Hey there!
ANSWER: [tex]30[/tex]EXPLANATION:[tex]50-2*(3^2+1)=?[/tex]
You will need to use the order of operations to solve. We will need to start with parenthesis. The parenthesis includes exponents which comes after.
[tex](3^2+1)=10[/tex]
Now go to multiplication.
[tex]2*10=20[/tex]
Now move to subtraction since that's what we have left.
[tex]50-20=30\\30(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
Afish is swimming 102 feet below the surface of the water i fer descents another 125 What subtraction expression can be used to find the new postiosoittee What is the position of the fish in relation to the surface of the state
simplify. can you please help? I don’t know how to do negative exponents. And I forgot how to do exponents.