Answers
In other words, a1 = 13, then
a2 = a1 + 4 = 13 + 4 = 17
a3 = a2 + 4 = 17 + 4 = 21
And so on.
There is a formula to find larger terms.
Since a2 = a1 + 4
a3 = a2 + 4
= (a1 + 4) + 4
= a1 + 2*4
a4 = a3 + 4
= a1 + 2*4 + 4
= a1 + 3*4
And so on, notice the pattern:
an = a1 + (n-1)*d
a6 = a1 + 5*d = 13 + 5*4 = 13 + 20 = 33
Answer:
The 6ᵗʰ term of this sequence is 82
Step-by-step explanation:
Here,
First Term = a₁ = 13
Common Difference = (d) = 4
Now, For 6ᵗʰ term, n = 16
aₙ = a + (n - 1)d
a₆ = 13 + (6 - 1) × 4
a₆ = 13 + 5 × 4
a₆ = 13 + 20
a₆ = 33
Thus, The 6ᵗʰ term of this sequence is 33
-TheUnknownScientist
Related Questions
What is the radius of the circle with equation (x+1/5)^2+(y-2/5)^2=1/25
Answers
Answer:
r = [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x + [tex]\frac{1}{5}[/tex] )² + (y - [tex]\frac{2}{5}[/tex] )² = [tex]\frac{1}{25}[/tex] ← is in standard form
with r² = [tex]\frac{1}{25}[/tex] , then
r = [tex]\sqrt{\frac{1}{25} }[/tex] = [tex]\frac{1}{5}[/tex]
The radius of the circle is, r = 1/5 units.
What is equation of circle?An equation of circle with center (h, k) and radius 'r' is,
(x - h)²+(y - k)² = r²
For given example,
the equation of the circle is, (x+1/5)^2+(y-2/5)^2=1/25
By comparing with standard equation of circle (x - h)²+(y - k)² = r²,
we have h = -1/5, k = 2/5 and r² = 1/25
We need to find the radius of the circle,
r² = 1/25
By taking square-root,
we have r = 1/5 units
Therefore, the radius of the circle is r = 1/5 units.
Learn more about equation of circle here:
https://brainly.com/question/10618691
#SPJ2
The total use of electricity in the United States was 0.4 trillion kilowatt-hours in 1950 and about 2.8 trillion kilowatt-hours in 1990. How many times more electricity was there in 1999 than 1950? Use scientific notation
Answers
Answer: 7
Step-by-step explanation:
Scientific notation is a method that is used in very large numbers or when we've very small numbers. The number given will be multiplied by its power of 10. In this case,
2.8 trillion = 2,800,000,000,000
= 2.8 × 10^12
0.4 trillion = 400,000,000,000
= 4 × 10^11
Therefore, the times more electricity was there in 1999 than 1950 will be:
= (2.8 × 10^12) / (4 × × 10^11)
= (2.8/4) / (10^12 - 11)
= 0.7 × 10
= 7 times
There were 7 times more electricity that was there in 1999 than 1950.
Factor the expression completely. 60x^3+50x^5
Answers
Answer: 10x^3(6+5x^2)
An engineer is designing a fountain that shoots out drops of water. The nozzle from which the water is launched is 3 meters above the ground. It shoots out a drop of water at a vertical velocity of 14 meters per second. Function h models the height in meters, h, of a drop of water t seconds after it is shot out from the nozzle. The function is defined by the equation h(t)=−5t2+14t+3. How many seconds until the drop of water hits the ground?
Answers
Answer:
After 3 seconds
Step-by-step explanation:
Given
[tex]h(t) = -5t^2 + 14t + 3[/tex]
Required
Time the drop will hit the ground
When the drop hits the ground,
[tex]h(t) = 0[/tex]
So, we have:
[tex]0 = -5t^2 + 14t + 3[/tex]
Rewrite as:
[tex]5t^2 - 14t - 3 = 0[/tex]
Expand
[tex]5t^2 + t - 15t - 3 = 0[/tex]
Factorize
[tex]t(5t + 1) -3(5t + 1) = 0[/tex]
Factor out 5t + 1
[tex](t -3)(5t + 1) = 0[/tex]
Split
[tex]t -3 = 0[/tex] or [tex]5t + 1 = 0[/tex]
Solve for t
[tex]t = 3[/tex] or [tex]5t = -1[/tex]
Time cannot be negative.
So:
[tex]t = 3[/tex]
If a fair penny is tossed 24 times and comes up heads 18 times, what is the probability of heads coming up on the 25th flip of the coin?
Could someone explain this step by step.
Answers
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is
viable solution if x represents the number of days that a library book is late and y represents the total fee?
Answers
Liability charges $0.30 dollars as a fee for being 1 day late,
For being 1 day late, fee charge is: 1* $0.30
So, for X days the charge would be: X*$0.30.
Total charge for being X days late is Y, Which means: Y= 0.30 * X.
Now We would have to check all the viable solutions in the answer to see if they satisfy the equation Y= 0.30 * X
Option one(-3, -0.9) and two (-2.5, -0.75) Would not be a viable solution because the value of number of days can not be negative and in option one and two, value of days -3 and -2.5 is negative.
Option three(4.5, 1.35) can not be correct because library charges fee for a full day so the number for days would be a whole number. Library would not charge for 4.5 days, they would either charge of 4 days or 5 days because 4.5 is not an whole number.
Option four(8, 2.40) is the correct answer because it satisfies our equation;
Y= 0.30 * X
2.40= 0.30 * 8
2.40 = 2.40.
Fourth option (8, 2.40) is the only viable solution to this question.
Choose the correct value for x.
multiple choice.
Answers
The dimensions of a triangular prism are shown in the diagram.
What is the volume of the triangular prism in cubic centimeters?
A
1,360 cm3
B
C
D
408 cm3
1,632 cm3
816 cm3
Answers
Answer:
B
Step-by-step explanation:
your welcome
Round your answer to the nearest hundredth.
C=2
A=?
B=8
Answers
Answer:
A = 8.2462112512353
I hope it's helps you
Which is f(6) for the quadratic function graphed?
-2.
-0.5
1.5
4
Answers
Answer:
D. 4Step-by-step explanation:
f(6) is the intersection of vertical line going through x = 6 and the graph of the quadratic function.
By tracing the line we find the intersection is the point (6, 4)
Correct choice is D
Your soccer team is holding a silent auction dinner as a fundraiser to pay for school uniforms. The list shows all the expenses for the silent auction.
A tablet that costs $350
Football tickets that cost $150
A gift card that cost $125
The cost of the food is $500
The members of the soccer team will be selling tickets to the silent auction. A ticket to the silent auction includes chances to win prizes and dinner. The ticket cost is set so that 45 tickets will pay for the cost of the prizes and food.
Build a function that can be used to find the total profit, f(x), the soccer team earns by selling x tickets. Show your work to build this function.
Answers
Answer:69
Step-by-step explanation:
A) $16
B) p(x) = 16x -800
C) 69 ticketsn:
A) The total of expenses is ...
$280 +100 +20 +400 = $800
If this is covered by 50 tickets, then a ticket must provide revenue of ...
$800/50 = $16
The cost per ticket is $16.
__
B) The profit is the difference between revenue and expenses. The revenue from sale of x tickets will be 16x. The expenses are fixed at 800, so the profit is ...
p(x) = 16x -800
__
C) We can find the number of tickets to sell (x) in order for profit to be at least $300 by solving the inequality ...
p(x) ≥ 300
16x -800 ≥ 300 . . . . . use the expression for p(x)
16x ≥ 1100 . . . . . . . . . add 800
x ≥ 68.75 . . . . . . . . . . divide by 16 . . . (the least satisfactory integer is 69)
In order to raise at least $300, the number of tickets sold must be at least 69.
what is the answer of -13=15+d ?
Answers
Answer:
d= -28..................
Answer the question in the picture?
Answers
The probability that Scott will win his next tennis match is \frac{3}{5}
5
3
What is the probability that he will not win?
Write the answer as a percentage
Answers
3/5 is the probability that he will win, you must find a fraction which adds to make 100%.
2/5 would be the fraction for his probability to lose.
0.4 or 40%.
Help!I need also the slope and yint and equation for this!!
Answers
slope : 0.25
equation : 0.25x+3
and what is the yint
Find the lump sum that must be deposited today to have a future value of $65,000
in 10 years if funds earn 8% compounded semiannually.
Answers
Answer: 812.5
Step-by-step explanation: what i did first was divide 65000 by 10 which gave 6500 and then i divided it by 8 which gave 812.5, but i could be possibly wrong
what is the mean of 83, 92,47, 78, 80?
Answers
Blah blah blah blah blah blah
What is the value of 3/5 divide 2/5
A. 6/25
B. 2/3
C. 6/5
D. 3/2
E.25/6
Answers
The dimensions of this screen are 10 inches by 10 inches. What is the screen size? Round your answers to the nearest whole number. Remember, the screen size is the same as the hypotenuse of the triangle whose legs are the width and height of the screen.
Answers
Answer:
14.14inches
Step-by-step explanation:
Given data
Length L= 10 inches
Width W= 10 inches
The size of the screen is described by the lenght of the diagonal
Applying the Pythagoras theorem we have
D^2= L^2+ W^2
D^2= 10^2+ 10^2
D^2= 100+100
D^2= 200
D= √200
D= 14.14 inches
Hence the size of the screen is 14.14inches
Answer:
A. 14
Step-by-step explanation:
Triangle ABC below has a right angle C and a hight CD. If AC is 3 units long and BC is 4 units long, what is the length of AB?
Answers
Answer:
AB = 5
Step-by-step explanation:
Pythagorean theorem: a² + b² = c²
=> 3² + 4² = AB²
=> AB = [tex]\sqrt{3^{2}+4^{2} }[/tex]
=> AB = 5
please help me solve 8x+2y=32 and 10x-5y=-20
its solve by subsitution
please include steps and answers
Answers
Answer:
(2,8)
x = 2
y = 8
Step-by-step explanation:
The steps are shown in the picture
help with this ill give brainlest
Answers
A quantity with an initial value of 2000 grows exponentially at a rate of 0.35% every
2 days. What is the value of the quantity after 73 days, to the nearest hundredth?
Answers
Answer:
2272.03
Step-by-step explanation:
Write the equation of the circle graphed below
Answers
Answer:
there isnt any image
Step-by-step explanation:
BRAINIEST ANSWER
:)) please help me out!
Answers
Answer:
1,296 cm³Step-by-step explanation:
Now the formula to find the volume of a pyramid is [tex]V=\frac{lwh}{3}[/tex]
We know the length, width and height so let´s get started!
First let´s multiply to find the base. To do so, we will do length × width.
18 × 18 = 324
Now multiply by the height
324 × 12 = 3,888
After you multiply all length, width and height, we need to divide by three.
3,888 ÷ 3 = 1,296
Before we finish, we need to do the last two steps
First we need to add the measurement unit which is centimetres or cm.
We also need to add ³ since it is volume
1,296 cm³ is our final answer
16. On June 8, 1992, a crop circle with an 18-meter radius was found in a wheat field near Szekesfehervar,
43 miles southwest of Budapest, Find its circumference,
a. 112.06
b. 113.04 m
C, 124,45 m
d116,34 m
Answers
The function f(t) = 790(0.994) 60t represents the change in a quantity over t
hours. What does the constant 0.994 reveal about the rate of change of the quantity?
Answers
Answer:
Please check explanations
Step-by-step explanation:
From what we have, the constant term is 0.994
Now, what this mean is that with an increase in the value of t, there will be a decrease in the change of quantity
This is because the rate of change is less than 1
With an increasing value of power, the value of the exponent would be less than its previous value
So what this mean is that we would have less quantities over time since the value of the constant term is less than 1
Brad and sally made a total of 31 cakes for the school bake sale. Sally made 7 fewer cakes than brad. How many cakes did brad make?
Answers
Answer:
brad made 19 cakes, sally made 12
Step-by-step explanation:
I don’t know this and I need help it’s due tomorrow just got it today
Answers
Answer:
x = 9
Step-by-step explanation:
The top shape's side values are 3 times larger than the side values of the bottom shape, so x + 15 = 3(8).
Solve for x and you get x = 9.
Answer:
x = 9
Step-by-step explanation:
9 / x = 3 -> x = 3
(x+15) / 3 = 8
x + 15 = 8*3
x+15 = 24
x = 24 - 15
x = 9
HELP ME PLEASE! I need to figure out the median and Interquartile of : 0,0,0,1,1,3,3,3,4,4,4,6,6,7,7,7,8,8,9,10
Answers
Answer:
The median is 8
Step-by-step explanation:
4+4=8
It is 8 because the middle numbers there are 4 and 4