Answer:
a₆₃ = 575
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 17 and d = a₂ - a₁ = 26 - 17 = 9 , then
a₆₃ = 17 + (62 × 9) = 17 + 558 = 575
The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the
sequence?
Answer:
53=-3+14d
56=14d
d=4 that is the common difference
A fair six-sided die is rolled 66 times. Theoretically, about how many times should a roll of "6 occur?
Answer:
11
Step-by-step explanation:
On a fair six-sided die, there is a [tex]\frac{1}{6}[/tex] chance of rolling each number. Therefore, for each of the rolls, the number 6 has a [tex]\frac{1}{6}[/tex] chance of being rolled. This can be read as for every 6 rolls, one 6 should appear.
Since the die is being rolled 66 times, we have the following proportion:
[tex]\frac{1}{6}=\frac{x}{66}[/tex], where [tex]x[/tex] is the theoretical number of times a roll of "6" occurs.
Multiply both sides by 66:
[tex]x=\frac{1}{6}\cdot 66=\boxed{11}[/tex]
is (the fraction in the photo) rational or irrational?
Answer: Rational
Explanation:
Any rational number is of the form P/Q, where P and Q are integers
Keep in mind that Q cannot be zero, but P can be.
In this case, P = -7 and Q = 35
Find the number in which 8 is in tenths place.
8945.4534
456.89732
9738.45621
6875.1234
the number in which 8 is in tenth place is
6875.1234
plese mark me as braniliest
[tex]4000 - 1999[/tex]
can anyone
solve this please?
Find the square root of 167281 by division method
Answer:
square root of 167281 is 409
Here's the Step-by-step explanation using division:
whats the geometric means of 4 and 1/4
The gometric means G1, G2, G3, 1/4
In need of help asaappppp
Answer:
8 and 6 is the answer.......
Answer: Option C.
Step-by-step explanation: any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal are corresponding angles .
The area of a circle is 81π cm ^2 What is the circumference, in centimeters? Express
your answer in terms of π.
Answer:
18π cm
Step-by-step explanation:
The area of a circle is πr²
The circumference of a circle is 2πr
πr² = 81π
or, r² = 81
or, r = √(81)
or, r = ±9
But r=—9 is not acceptable .
so, r = 9 cm
Circumference of the circle is
2πr
= 2π * 9cm
= 18π cm
Answer 18π cm
GIVING BRAINLIEST Graph and solve the inequality y>-|x-5|-1
Answer:
First, solve for two points as an equation instead of an inequality to find the boundary line for the inequality.
For:
x
=
0
y
=
0
+
5
y
=
5
Or
(
0
,
5
)
For:
x
=
−
2
y
=
−
2
+
5
y
=
3
Or
(
−
2
,
3
)
We can now plot the two points on the coordinate plane and draw a line through the points to mark the boundary of the inequality.
The boundary line will be solid because the inequality operator contains an "or equal to" clause.
graph{(x^2+(y-5)^2-0.125)((x+2)^2+(y-3)^2-0.125)(y-x-5)=0 [-20, 20, -10, 10]}
Now, we can shade the left side of the line.
graph{(y-x-5) >= 0 [-20, 20, -10, 10]}
Find −4^3(5^2). Express using exponents.
Answer:
-1600
Step-by-step explanation:
−4^3(5^2)
5 × 5 = 25
-4 × -4 × -4
-16 × -4
-64
64 × 25 = -1600
The answer is -1600
Hope this helped.
Rick spent 3/5 of his money on books. He spent another 2/7 of his money on stationary. What fraction of his money had he left?
Answer:
He has 4/35 of with money left
Step-by-step explanation:
1 - 3/5 - 2/7 = 4/35
This basically answers the question
The length of a rectangle is 10 m more than its breadth. If the perimeter of rectangle is 80 m, find the dimensions of the rectangle.
if you like my answer then please mark me as brainliest
If two lines represent the same line, then what is the nature of its solution?
Step-by-step explanation:
If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent .
Answer:
Infinite
Step-by-step explanation:
Solution between 2 lines is considered the point of their intersection. Now, since two lines are same (not only parallel but same), it tends to have infinite solutions.
A changes
16. By accident, 6 burned out bulbs have been mixed in with 16 good ones, Ken is replacing old bulbs in his house. If he selects two bulbs at random from the box of 22, what is the
probability they both work?
Answer: 8/11
Step-by-step explanation:
This is because there are a total of 22 bulbs. 16 of those bulbs work, giving us the fraction: 16/22. If you simplify 16/22 by dividing the numerator and denominator by 2, you get 8/11.
=================================================
Explanation:
There are 16 working bulbs out of 6+16 = 22 bulbs total.
The probability of randomly selecting a working bulb is 16/22
After that first bulb is selected and not put back, the probability of randomly selecting another working bulb is 15/21. Take note that I subtracted 1 from each part of the original fraction.
So we get the answer of
(16/22)*(15/21) = 240/462 = 40/77 which is choice C.
------------
Extra info:
Choice A is only true if Ken puts the first selection back. You would compute (16/22)*(16/22) = 64/121. However, it sounds like he's not doing replacement. So whatever is selected is not put back. This is why I ruled out choice A.Choice B is ruled out as well because 16/22 = 8/11 refers to the probability of one working bulb (instead of 2 in a row)It's not clear how the fraction of choice D is formed, but we can rule it out because choice C is the answer.3x + ky = 8
X – 2ky = 5
are simultaneous equations where k is a constant.
a) Show that x = 3.
b) Given that y = 1/2 determine the value of k.
Answer:
a) 3x + ky = 8
ky = 8 - 3x
x – 2ky = 5
x - 2(8 - 3x) = 5
x - 16 + 6x = 5
7x = 21
x = 3 (shown)
b) x-2ky = 5
sub x = 3, y = 1/2
3-2k(1/2) = 5
-2k = 2
k = -1
Joylin is writing an equation to model the proportional relationship between y, the total cost in dollars of downloading videos from a website, and x, the number of videos downloaded. She knows that the total cost to download 3 videos was $12. Her work to find the equation is shown below.
Joylin’s Work
Step 1
k = StartFraction 3 over 12 EndFraction = 0.25
Step 2
y = 0.25 x
Where did Joylin make her first error?
Answer:
Step-by-step explanation:
Jocelyn was attempting to find out how much she will be charged per download. She has the fraction upside down. To find the amount of money per download, the fraction should be $12/3downloads to get $4/1download. That is the slope of the equation, the rate of change or, for us, the fact that your cost will go up $4 for every single video you download. The equation would then be
y = 4x
The way she has it, we are paying only a quarter for a download. If that be the case, for 3 downloads we would only be paying .75, but it says we pay $12, so we know something is wrong right there.
Answer:
The answer is A
Step-by-step explanation:
determine the quadratic equation in standard form of a parabola with a zero at x=5 and vertex ar (-3, 32). start with factored form
a)find the other zero
b) create your factored form equation
c) create your standard form equation
Answer:
see image...
start with Graphing Form: y = a(x-h)²+ k
knowing that h is the x value (negative of it) of the vertex , and k is the y value of the vertex
Graphing Form Equation: y = a(x+3)²+32
you are also given that when the x value is 5 the y value has to be 0
0 = a(4)^2 + 32
a has to be - 1/2
Step-by-step explanation:
Find the value of each variable. Lines that appear tangent are tangent, and the dot is the center. (Answer in the form a=? b=? c=? d=?)
Answer:
a = 60°/2 = 30°
b = 84/2 = 42°
c = (100+60)/2 = 80°
d = 360-100-60-84 = 116°
Answered by GAUTHMATH
what is the solution?
Answer: x = 36
Step-by-step explanation:
[tex]\frac{2}{3} x-4=20\\\\\frac{2}{3} x=20+4\\\\\frac{2x}{3} =24\\\\2x=24*3\\\\x=\frac{72}{2} =36[/tex]
HELP ASAP
Write in exponential expressions
If both the numerator and denominator of fraction have an exponent with the same base, we can simplify the expression to the base raised to the numerator’s exponent minus the denominator’s exponent.
Answer quick plsssssssssss thx
Answer:
I think Substitution
Step-by-step explanation:
Because x is already solved for in the second equation.
help xx ndjskcksicksksmnsjzjsjdjsjcjn
B. 4562
Hope this helps(:
!!!!!!!
Answer:
4.562...
Step-by-step explanation:
A rational number can be written in the form a/b where a and b are integer
-54 is an integer ( -54/1)
5/9 is in the form a/b where a is 5 and b is 9
2.13 is in the form a/b where a is 213 and b is 100
4.562... is a non repeating and non terminating decimal, which is irrational
Write the equation of the function
A man bought 550 oranges at 60 paisa each and 240 oranges at 50 paisa each. If he sold them at the rate of 10 for Rs 9. what was his profit percentage? Please show step by step .
Answer:
hence the profit percent is 58%.
Find the missing side lengths
Answer:
u is 17√2 and v is 17
Step-by-step explanation:
To find u:
[tex]{ \bf{ \sin( \theta) = \frac{opposite}{hypotenuse} }}[/tex]
feed in the terms:
[tex] \sin(45 \degree) = \frac{17}{u} \\ \\ u = \frac{17}{ \sin(45 \degree) } \\ \\ u = 17 \sqrt{2} [/tex]
To find v:
[tex] \cos( \theta) = \frac{adjacent}{hypotenuse} [/tex]
feed in the terms:
[tex] \cos(45) = \frac{v}{u} \\ \\ v = u. \cos(45) \\ v = (17 \sqrt{2} )÷( \sqrt{2} ) \\ v = 17[/tex]
if f(x) = 2x/2x+1 and g(x) = 1/2x+1, find f(x) / g(x)
Answer:
2x
Step-by-step explanation:
Just solve the function operation:
f/g=(2x/2x+1)/(1/2x+1) = 2x since (2x/1)/(2x+1/2x+1) simplifies to 2x/1 the answer is 2x
Mr. Barry invested some money at 5% and amount half as great as 4%. His total annual income from both investments was $210. Find the amount invested at 4%
A) $1000
B) $1500
C) $2000
D) $2500
The amount invested at 4% is 1500.
How to estimate the amount invested at 4%?Let x be the amount invested at 4%.
2x be the amount invested at 5%.
0.04x + 0.05(2x) = 210
Multiply by 100 to eliminate decimals
4x + 5(2x) = 21000
Remove parentheses: (a) = a
[tex]4 x+5 \cdot 2 x=21000[/tex]
Multiply the numbers: [tex]$5 \cdot 2=10$[/tex]
4x+10x = 21000
Add similar elements:
4x+10x = 14x
14x=21000
Divide both sides by 14
[tex]$\frac{14 x}{14}=\frac{21000}{14}[/tex]
Simplifying the above equation, we get
x = 1500
The amount invested at 4% is 1500.
Therefore, the correct answer is option B) $1500.
To learn more about amount invested
https://brainly.com/question/2284670
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There are 20 wild pigs on an island and the number of pigs doubled each year for the past 5 years. The independent variable is:
Answer
Step-by-step explanation:
This is because the wild pigs' fertilty rate increased for the past five years, which caused them to double each year.
Write the ratio of detective headphones to total headphones in the sample. Then write the ratio as a decimal and as a percent
The question given is incomplete as the information about the headphones isn't given.
However, we can solve the problem by using hypothetical values.
Answer:
Kindly check explanation
Step-by-step explanation:
Given
Write the ratio of detective headphones to total headphones in the sample. Then write the ratio as a decimal and as a percent.
Let :
The number of defective headphones = 10
The total number of headphones on the sample = 50
To express as a ratio :
Defective headphones : total headphones
10 : 50 = 1 : 5
To express as a percentage ;
1 / 5 * 100% = 20%
