Answer:
The 18th term of the arithmetic sequence will be:
[tex]a_{18}=37[/tex]
Step-by-step explanation:
We know that the arithmetic sequence with a common difference 'd' and the first term 'a₁' is defined as
[tex]a_n=a_1+\left(n-1\right)d[/tex]
Given the values
d = 2
a₁ = 3
As we have to determine the 18th term of the arithmetic sequence.
so putting n = 18 in the nth term to determine the 18th term.
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]a_{18}=3+\left(18-1\right)2[/tex]
[tex]=3+17\cdot \:2[/tex]
[tex]=3+34[/tex]
[tex]=37[/tex]
Therefore, the 18th term of the arithmetic sequence will be:
[tex]a_{18}=37[/tex]
The diagonal length of a rectangular swimming pool can be represented by 10 times the square root of 5. Which expression represents this length?
Answer:
C
Step-by-step explanation:
the third option correctly shows 10 times the square root of 5 (10[tex]\sqrt{5}[/tex])
The expression represents the diagonal length of the rectangle will be 10√5. Then the correct option is C.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The diagonal length of a rectangular swimming pool can be represented by 10 times the square root of 5. The sentence can be written in the mathematical form given as,
⇒ 10 × √5
⇒ 10√5
The expression represents the diagonal length of the rectangle will be 10√5. Then the correct option is C.
More about the value of expression link is given below.
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The price of gasoline drops from $1.00 per
gallon to 95° per gallon. What is the percent of
decrease?
Which is the best estimate of 11
Answer:
4 would be the answer hopefully
Answer:
4
Step-by-step explanation:
11 1/5 + 2 3/4 = 224/55
224/55 in simplify form is 4.073
Which is closets to 4.
Solve the problem below by finding a common denominator.
5/6-2/5
Answer:
I know how to this in one of two ways and I'm not sure if they're correct but anything to help.
5/6-2/5 would get you 1/3 because if you cross multiply and cross out factors that can go into each you cant pretty much get that answer. ( i think)
or
the common denominator would be 30 multiply 5 by 5 and 2 by 6. 25-12 is 13. How I was taught was find a number that both denominators can go into then multiply by that number. So 6*5= 30 so you would multiply 5 by 5 to get 25.
Hope I explained this well, I don't really think so.
Which of the following is the same as 727.526? In word form btw! ty
Answer:
seven hundred twenty-seven and five hundred
twenty-six thousandths
Step-by-step explanation:
What is 50 divide by 400?
Which of these is NOT a factor of intelligence?
A instinct
B comprehension
C decision-making
D reasoning
When all 480 sixth-grade students at Golden State Middle School were polled, results showed that 192 students were dissatisfied with the music played at the school dance. What percentage of sixth-grade students does this represent? Explain a strategy you used to solve this problem.
Answer:
40%
Step-by-step explanation:
When all 480 sixth-grade students at Golden State Middle School were polled, results showed that 192 students were dissatisfied with the music played at the school dance. What percentage of sixth-grade students does this represent?
This is calculated as
(Number of dissatisfied students/Total number of students) × 100
= 192/480 × 100
= 40%
The percentage of sixth-grade students that this represents is 40%
In 1998, Journeys sold 15 million pairs of Vans across the
U.S. In 2008, Journeys sold 45 million pairs of Vans. What
was the average rate of change in shoe sales for the store?
Answer:
3 million/yearStep-by-step explanation:
Average rate of change is the slope in same interval:
(45 million - 15 million)/(2008 - 1998) years=30 million / 10 years =3 million/yearIn 1998, Journeys sold 15 million pairs of Vans.
In 2008, Journeys sold 45 million pairs of Vans.
To Find:The average rate of change in show sales for the store.
Formula:Final year : 2008
Initial year : 1998
Final sale : 45 million
Initial sale : 15 million
Average sales = Final sale - Initial sale / Final year - Initial year
Explanation:Average sales = 45 million - 15 million / 2008 - 1998
Average sales = 30 million / 10 years
Average sales = 3 million / 1 year
Answer:The average rate of change in show sales for the store is 3 million per year.
-9 (c + 7) = -13c +7
What value of c makes the equation true? Enter the answer in the box.
Answer:
c=17,5Step-by-step explanation:
-9(c+7) = -13c+7
<=> -9c - 63 = -13c+7
<=> -9c + 13c = 7+63
<=> 4c = 70
<=> c = 70/4 = 35/2 = 17,5
CHECK THE ANSWER:-9(c+7) = -13c+7
-9(17,5+7) = -13×17,5+7
-220,5 = -220,5
Hope it's help u:))6 It takes one hour to drive 80 km. How far can you drive in 20 minutes at that speed?
a) 20 km
b) 25 km
c) 27 km
d) 30 km
Please help I want with steps
Answer:
c) 27 kmStep-by-step explanation:
Speed is 80 km/h
Time is:
20 min = 20*1/60 h = 1/3 hDistance = Speed*Time
Distance is:
80*1/3 = 26.66Closest answer choice is c) 27 km
Answer:
C
Step-by-step explanation:
9
The dew point in degrees Fahrenheit can be calculated with the formula DP = T (100 - RH), where DP is
the dew point, T is the dry-bulb temperature, and RH is the relative humidity. Which of these is the equation
solved for RH?
RH = 100 -
(T-DP)
RH = 100 – 2 (DP-1)
RH = 100 – (DP-1)
RH = 100 – 25 (T-DP)
Answer:
B
Step-by-step explanation:
I took that same test and i didthe practice test. Believe me.
The equation that can be used to solve for RH is 25/9(DP-T) - 100
Given the formula for the dew point in degrees, Fahrenheit expressed as
DP = T - 9/25(100 - RH)To solve for the value of RH, we will make RH the subject of the formula;
DP = T - 9/25(100 - RH)Subtract T from both sides:
DP - T = 9/25(100 - RH)Multiply both sides by 25
25(DP - T) = 9(100 - RH)
25(DP - T) = 900 - 9RH
25(DP - T) - 900 = 9RH
RH = 25/9(DP-T) - 100
Hence the equation that can be used to solve for RH is 25/9(DP-T) - 100
Learn more on subject of formula here: https://brainly.com/question/11000305
Which point could represent 5/3 ?
В
A
D C
Answer:it’s C
Step-by-step explanation:
I took the text on edge
While mining, Fred found a large metal bar that weighed 45 grams. Fred was also able to
determine that the bar had 33 grams of nickel. What percent of the weight of the bar was
nickel? Round your answer to the nearest tenth if necessary.
A.73.3%
B.70%
C.55.6%
D.71.3%
Chance wants to wish his cousin a happy birthday at 9:00am CST. Chance lives in Texas and his cousin lives in Ohio. What time will it be at his cousins's house when Chance calls to say happy birthday?
Answer:
10:00 am EST in Ohio
Step-by-step explanation:
Using the 50 States Time zones attached in the image below.
Chance who lives in Texas has a Time zone of CST (central standard time), while his cousin who lives in Ohio has a Time zone of EST(eastern standard time).
So if it is 5 pm in CST, it will be 6 pm in EST.
Given that;
Chance wants to wish his cousin in Ohio at 9:00 am CST, then the time it will be at his cousin's house when Chance calls to say happy birthday will be:
9:00 am + 1 = 10 :00 am EST in Ohio
can someone please help me out?
Answer:
6: Draw a little horizontal line then a downwards slope
7:She hiked 8 miles total
8:the first section is her hiking away from her house, the horizontal line you will draw will be when she was eating lunch, and the downwards slope you draw will be her heading back home.
is y=1/100(31)x a exponential decay?
PLZ try and plz help
simplify [tex]\sqrt[4]{2} +\sqrt[7]{2} -\sqrt[3]{2}[/tex]
how do you write 5,520 in scientific notations
Answer:
5.52 × 10^ 3
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Help please math is so hard
Answer: Well the answer is 21 lol and that is all can do for you dude! XD
Step-by-step explanation: I DUMB! XD
true or false please help me
Help me with this please !!!
Answer:
x = 61°
Step-by-step explanation:
x and 61° are alternate exterior angles and are congruent, thus
x = 61°
Answer:
X=61.
Step-by-step explanation:
✍✍✍✍✍✍✍
Willing to Paypal Who every can Answer this question I created.
MUST BE CORRECT OR REPORTING!
Answer: 17
Step-by-step explanation:
Each side has one line on it indicating each side is equal therefore 5y-3= 4y+1. Once you put them equal to each other you solve for y. You start by isolating the variable by inverse operations so you add 3 to both sides which leaves 5y=4y+4 and then you subtract 4y from both sides leaving y=4. Now that you found the value of y you input that value into one of the expression for one of the sides and solve. 5(4)-3= 17
if the recipe takes 60 minutes to cook at a temperature of 350 degrees how many minutes would it take at 200 degrees
Answer:
34.28 minutes
Step-by-step explanation:
60:350=x:200
12000=350x
x=34.28
Answer: 105 minutes
Step-by-step explanation: inverse variation = 350/200 = x/60
Is the expression d^4/c a polynomial
Answer:
yes
Step-by-step explanation:
hope this helps :)
simplify the expression 11•11•11 using exponent
Answer:
[tex]11^{3}[/tex]
Step-by-step explanation:
= 33
April invests $30,000, part at 6.5% annual interest and the balance at 4.2% annual interest. How much is invested at each rate if April receives a 1-year interest payment of $1662.50?
Answer:
$17500 at 6.5% and $12500 at 4.2%Step-by-step explanation:
Given
Let x be the amount invested at 6.5%Then (30000 - x) is invested at 4.2%The equation for the interest:
x*6.5/100 + (30000 - x)*4.2/100 = 1662.500.065x + 1260 - 0.042x = 1662.500.023x = 1662.50 - 12600.023x = 402.5x = 402.5/0.023x = 17500So $17500 invested at 6.5% and $12500 at 4.2%
Answer:
yes
Step-by-step explanation:
What is the solution to the following equation? (1 point) 8(2x − 10) + 18 = 4x + 22 4 5 7 8
Answer:
x=7
Step-by-step explanation:
8(2x-10)+18=4x+22
distribute the 8
16x-80+18=4x+22
simplify
16x-62=4x+22
ads 62 to each side
16x=4x+84
subtract 4x from each side
12x=84
divide each side by 12
x=7
solve for x 7x-3=5x+5=
Answer:
x=4
Step-by-step explanation:
7x-3=5x+5
2x-3=5
2x=8
x=4
The value of x in the expression 7x-3=5x+5 is 4
Given
7x-3=5x+5
Here,
The equation is linear in variable x .
7x-3=5x+5
7x - 5x - 3 = 5
2x-3=5
2x = 5 + 3
2x=8
x = 8/2
x=4
Thus the value of x is 4 .
Know more about linear equations,
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Tony's family owns a Chihuahua that gets 3 dog bones each day for doing tricks. Tony has a total of
16 dog bones he must give his dog for doing tricks. Write an algebraic equation that describes the
relationship between the number of days (d) and the number of bones remaining (b).
9514 1404 393
Answer:
b = 16 -3d
Step-by-step explanation:
If Tony gives 3 dog bones per day, then he uses 3d dog bones for d days. The number remaining will be this value subtracted from the original number:
b = 16 -3d