Answer:
so here we minus 5 from 255 to get to 250 and we do it again to get to 245. for reaching the 40th term we should do it 39 times.
so, 255+ (-5) (39) = 255 - 195 = 60
which is our 40th term.
The 40th term of (255, 250, 245...) is 60.
What is arithmetic progression ?The difference between any two successive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence. For instance, the natural number sequence 1, 2, 3, 4, 5, 6,... is an example of an arithmetic progression. It has a common difference of 1 between two succeeding terms (let's say 1 and 2). (2 -1). We can see that the common difference between two subsequent words will be equal to 2 in both the case of odd and even numbers.There are three distinct progression kinds. As follows:Mathematical Progress (AP)Graphical Progress (GP)Rhythmic Progress (HP)It is feasible to find a formula for the nth term for a certain kind of sequence called a progression. The most popular mathematical progression, with simple formulas, is the arithmetic progression.Calculations :
The formula to find the nth term = [tex]a_{n}[/tex] = -5n + 260
= [tex]a_{40}[/tex] x 5n = 260
= 260 - 200 = 60
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What is the horizontal distance from the origin to the point (1,4)
Answer:
given ,
a point , let's say , A( 1 , 4 ) on the cartesion plane.
to find - the horizontal distance of the point from the origin.
[tex]\underline\bold{using \: Distance \: formula \:} \\ \\ d(AO) = \sqrt{( x_{2} - x_{1}) {}^{2} +( y_{2} - y_{1}) {}^{2} } \\ \\ d(AO) = \sqrt{(1 - 0) {}^{2} + (4 - 0) {}^{2} } \\ \\ d(AO) = \sqrt{1 + 4} \\ \\ d(AO) = \sqrt{5} units [/tex]
hope helpful :D
Help mee plsssssssss
Answer:
-3
Step-by-step explanation:
you can tell because 12-3=9 and 9 is the output. it's the same for the others. 15-3=12 and 20-3=17
Find the quotient of 36 and -4.
The quotient of 36 and -4 is -9.
36/-4 = -9
Suppose we want to choose 7 letters, without replacement, from 12 distinct letters. (a) How many ways can this be done, if the order of the choices is not relevant?
Answer:
3991680 or 792
Step-by-step explanation:
12P7 = 3991680
or
12C7 = 792
P = permutation
C = combination
Sorry, I am not sure which answer is correct or if any of the answers are correct.
Use Demos Graphing Calculator
Rob works part time at the Fallbrook Riding Stable. He makes $5 an hour exercising
horses and $10 an hour cleaning stalls. Because Rob is a full-time student, he can
work no more than 12 hours per week. However, he must make at least $60 per
week.
Which of the following is a possible solution for this system of inequalities?
A. 1 hour exercising and 1 hour cleaning
B. Two hours exercising and five hours of cleaning
C. Seven hours of exercising and eight hours of cleaning
D. Two hours exercising and eight hours cleaning
Answer:
D. Two hours exercising and eight hours cleaning
Step-by-step explanation:
Rob works part time at the Fallbrook Riding Stable. He makes $5 an hour exercising horses and $10 an hour cleaning stalls. Because Rob is a full-time student, he can work no more than 12 hours per week. However, he must make at least $60 per week.
x = hrs. exercising horses
y = hrs. cleaning stalls
Equations:
Hours he can work per week:
x + y ≤ 12
Amount of money he can make per week:
5x + 10y ≥ 60
Now, graph your equations into desmos.
As you can see in the graph, the correct answer is D (2, 8)
Check your answer by hand:
x + y ≤ 12
2 + 8 ≤ 12
10 ≤ 12
This statement is correct
5x + 10y ≥ 60
5(2) + 10(8) ≥ 60
10 + 80 ≥ 60
90 ≥ 60
This statement is correct
Therefore, the correct answer is D
Hope this helps!
A coin is flipped 8 times. Find the probability of the event:
exactly 6 heads
A.0.4375
B.0.75
C.0.0039
D.0.109
b. 0.75 because if you flip it 8 times and get heads 6 times, the probability would be 6/8 and that would simplify to 3/4 (0.75).
Answer:
D. 0.109
Step-by-step explanation:
Just did the test, its not B
The grandma of a 6-year-old is asking them 2x3 what is 2x3
Answer:
The answer of 2 x 3 would be 6
Step-by-step explanation:
The reason why 2 x 3 or 2 times 3 would be six/6. Is because if you had 2 pairs of 3 items, you would get a total of 6 items. And if you had 3 pairs of 2 items, you would still have a total of 6 items.
Please answer the following questions
An absolute value inequality can be solved using a union or an intersection depending on which sign it is true or false
Answer:
True????????????????????
The statement that "An absolute value inequality can be solved using a union or an intersection depending on which sign it is" is true.
What is Absolute Value Inequality?Absolute value inequalities are kind of inequality expressions which includes the absolute value symbol in the expression.
For example : |x - 5| < 4 is an absolute value inequality.
Given statement is that,
An absolute value inequality can be solved using a union or an intersection depending on which sign it is.
If an absolute value inequality has a sign as "> 0", then the solution contains every real numbers but not values which makes the inequality 0.
in this case, union is used.
Now, if the inequality is "<" or "≤" with a positive number, the we use the intersection.
Hence the given statement is true.
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Andrew drinks 1.9 litres of water each day for three years. By rounding the amount of water an the number of days to one significant figure find the approximate amount of water he drinks during the three years. [One year = 365 or 366 days]
Answer:
2081days or 2086days
Step-by-step explanation:
1.9(365)=693.5
1.9(366)=695.4
693.5(3)=2080.5
695.4(3)=2086.2
What fraction is equivalent to six tenths and has a denominator of 100?
Answer:
3/5
Step-by-step explanation:
3/5=6/10
3/5=60/100
The graph displays a linear function.
Answer:
[tex]y = -\frac{2}{3}x +0[/tex] OR [tex]y = -\frac{2}{3}x[/tex]
Step-by-step explanation:
First, find the slope (m) using two points (0,0) and (-6, 4)
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{4-0}{-6-0} \\\\m=\frac{4}{-6}\\\\m=\frac{2}{-3}\\\\m=-\frac{2}{3}[/tex]
[tex]y=mx+b[/tex]
[tex]y = -\frac{2}{3}x +b[/tex]
Now, we find b using (-6, 4)
[tex]y = -\frac{2}{3}x +b[/tex]
[tex]4 = -\frac{2}{3}(-6) +b\\\\4 = \frac{12}{3} +b\\\\4 = 4 +b\\\\-4 -4\\\\0=b[/tex]
[tex]y = -\frac{2}{3}x +0[/tex] OR [tex]y = -\frac{2}{3}x[/tex]
Hope this helps!
Help help help help help
Answer:
A' = (- 3, 0)
Step-by-step explanation:
[tex]A' = (x + 3, \: y - 2) \\ \\ \implies \: A' = ( - 6+ 3, \: 2 - 2) \\ \\ \implies \: A' = ( - 3, \: 0) [/tex]
Answer:
A' = (-3, 0)
Step-by-step explanation:
Pre-Image coordinate:
A (-6, 2)
Translation: (x, y) --> (x + 3, y - 2)
(-6 + 3, 2 - 2)
(-3 0)
Image coordinate:
A' = (-3, 0)
hope this helps!! p.s. i really need brainliest :)
Can someone help me out? I can't understand this shape. (Explanation also please). I'll mark brainliest
The surface area of the rectangular prism is 46m²
How to find surface area of a rectangular prism?length = 4mwidth = 2.5mheight = 2mSurface area of a rectangular prism = 2(width×length + height×length + height×width)
SA = 2(wl + hl + hw)
= 2(2.5×4 + 2×4 + 2×2.5)
= 2(10 + 8 + 5)
= 2(23)
= 46m²
Therefore, the surface area of a rectangular prism is 46m²
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(2x+3)+(5x17)+90=180
Answer:
x=10
Step-by-step explanation:
Answer:
x is 10 degrees
Step-by-step explanation:
180-90=90
(2x+3)+(5x+17) = 90
7x+20=90
7x=70
x=10
4. triangle FBT is similar to triangle ADQ with a scale factor of 5/3. Complete the table below.
Sides Angles
BF = 15 B = 85
BT = F = 40
FT = 21 T =
AD = 9 A =
DQ = 6 D =
AQ = Q = 55
Triangle FBT is similar to triangle ADQ with a scale factor of 5/3. AD = 9; BF = 15, DQ = 6; BT = 10, FT = 21; AQ = 12.6
∠F = ∠A = 40°, ∠Q = ∠T = 55°, ∠B = ∠D = 85°
What are similar triangles?Similar triangles are triangles that have the same shape and the ratio of their corresponding sides are in the same proportion. Corresponding angles are equal.
triangle FBT is similar to triangle ADQ with a scale factor of 5/3.
AD = 9; BF = 9 * 5/3 = 15
DQ = 6; BT = 6 * 5/3 = 10
FT = 21; AQ = 21 * 3/5 = 12.6
∠F = ∠A = 40°, ∠Q = ∠T = 55°, ∠B = ∠D = 85°
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This trapezoid represents the base of a right prism that has a surface area of 1280 square feet. The sum of the lengths of the legs of the trapezoid is 52 feet. What is the height of the prism? Enter your answer in the box.
Answer:
El area del trapecio mresponde a la relación
A = 1/2(B + b)*h
B = base mayor
b = bas menor
h = altura
En el caso en esrudio
250 = 1/2(B + 20)*10
2*250/10 = B + 20
50 = B + 20
50 - 20 = B
B = 30
BASE MAYOR = 30 PIES
what is the slope of 5x-4y=3
Answer:
5/4
Step-by-step explanation:
Hi there!
We are given the line 5x-4y=3, and we want to find the slope of it.
The line is currently in standard form (ax+by=c); one way to find the slope of the line is to convert it into slope-intercept form (y=mx+b)
To do that, we need to isolate y on one side (in other words, we need to solve the equation for y)
First, subtract 5x from both sides
5x-4y=3
-5x -5x
____________
-4y = -5x + 3
Divide both sides by -4
[tex]y=\frac{5}{4} x - \frac{3}{4}[/tex]
In slope intercept form, m represents the slope; in this problem, 5/4 takes the place of where m should be, meaning 5/4 is the slope.
Hope this helps!
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How large a sample must a pollster take in order to estimate with 95% confidence and to within 3 percentage points, the proportion of voters who are in favor of a certain measure
========================================================
Work Shown:
[tex]n = \hat{p}*(1-\hat{p})\left(\frac{z}{E}\right)^2\\\\n \approx 0.5*(1-0.5)\left(\frac{1.96}{0.03}\right)^2\\\\n \approx 1067.111\\\\n \approx \boldsymbol{1068}\\\\[/tex]
Notes:
At 95% confidence, the z critical value is roughly z = 1.96 which is determined using a Z table.E = 0.03 to represent the 3% error. We're not told the value of [tex]\hat{p}[/tex], so we assume the most conservative estimate of 0.5Always round up to the nearest integer. The value 1067.111 is closer to 1067, but we round up to 1068 to clear the hurdle needed.Consider the expression 1.1(1.3)x+4Which of the following is an equivalent expression?
Answer:
the equivalent expression is 1.1(1.3)^4 ×(1.3)^x
Answer:
d
Step-by-step explanation:
i took the test
Help help help help help hel
Answer:
12
Step-by-step explanation:
P = 8
Q = 16
The value of PQ = 16 - 8 = 8
Since M is the midpoint of PQ,
PM = MQ
PM + MQ = PQ
PM + PM = PQ
2 PM = 8
PM = 8 / 2
PM = 4
The value of M
= 8 + 4
= 12
Answer:
M = 12
Step-by-step explanation:
If you want to find the midpoint between the numbers 8 and 16, follow the simple steps below.
First, add the two numbers: 8 + 16 = 24
Secondly, divide the total by 2: 24/2 = 12
The midpoint between 8 and 16 is 12.
hope this helps!! p.s. i really need brainliest :)
Find three points that lie on the circle
Answer:
Use (a-b)2 formula that is a2-2ab+B2
I think it will help you
Suposse X=a
y= B
And then use formula
Show that f(x) = 3x
4 − 2x
2 + 5 is an even function.
In base 2 (Binary system), which equation is false?
*(explain answer in detail)
a) 11+1=101
b) 1x10=10
c) 11x11=1001
d) 100/1=100
e) 1+1+1=11
Answer:
it is a
Step-by-step explanation:
because 11 +1 8n binary is qlways 100 bbecause 11 is in the 4th in the truth table of binary numbers and 100 is in the 5th so 11 + 1 = 4+1
100 = 5
pls mark it as the brainlyest answer
Answer:
It's a.
Step-by-step explanation:
11 binary = 2 + 1 = 3 in decimal.
So 11 + 1 = 3 + 1 = 4 in decimal.
and 4 in binary = 100 (2^2 + 0 + 0)
Trigonometric Equations
Solve the equation over the interval [0°, 360°)
cos(theta) = -1/2
Answer:
[tex]\frac{2\pi }{3};\frac{4\pi }{3}.[/tex]
Step-by-step explanation:
1) cos(θ)=-0.5;
theta=±2π/3+2πn, where n∈Z;
2) if θ∈[0;360], then
[tex]\theta=\frac{2\pi }{3}; \frac{4\pi }{3}.[/tex]
Can you help me? PLEASE
Hello!
Let's simplify the expression
6-2x+5+4x
Combine like terms:
6+5-2x+4x
11+2x
And that's the final answer, because 11 and 2x are not like terms (and that's Tyler's error. He shouldn't have combined 11 and 2x.
This is the correct way to simplify:
6+5-2x+4x
11+2x
Hope everything is clear.
Let me know if you have any questions!
#NeverGiveUp
:-)
Find the value of y and z
[tex]\qquad\qquad\huge\underline{{\sf Answer}} \huge♨[/tex]
In the given figure, NQ acts as a diameter and since diameter subtends 90° at the arc of the circle, so we can conclude that ~
[tex]\qquad \sf \dashrightarrow \:3y = 90 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \:y = 90 \degree \div 3[/tex]
[tex]\qquad \sf \dashrightarrow \:y = 30 \degree [/tex]
Now, Let's use Angle sum property of Triangle to solve for z :
[tex]\qquad \sf \dashrightarrow \:4z + 3y + 50 \degree = 180 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \:4z +90 \degree + 50 \degree = 180 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \:4z = 180 \degree - (50 \degree + 90\degree)[/tex]
[tex]\qquad \sf \dashrightarrow \:4z = 180 \degree - (140\degree)[/tex]
[tex]\qquad \sf \dashrightarrow \:4z = 40 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \:z = 40 \degree \div 4[/tex]
[tex]\qquad \sf \dashrightarrow \:z = 10 \degree [/tex]
I hope you understood the procedure, you can ask me in comments if you have any doubts.
Can yall help me with the answers?
Answer:
Number 3 is B
Step-by-step explanation:
B is number 3
Answer:
Lakaka 1 by Lakaka 1 vx wfs
Two students each write a function, C(n), that they think can be used to find the number of circles needed to make the nth figure in the pattern shown.
Use the drop-down menus to explain why each function does or does not represent the number of circles needed to make the nth figure in the pattern.
The function that can be find used to find the number of circles needed to make the nth figure in the sequence is (C + 1) + 4.
How to calculate the sequence?The sequence can be illustrated through the function (C + 1) + 4 where C is the previous number. For the third picture, the number of circles will be:
= (C + 1) + 4
= 5 + 4
= 9
The fourth term will be:
= 9 + 4
= 13
Therefore, each figure uses 4 circles more than the previous one.
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Answer:
Step-by-step explanation: This function can be used to find the number of circles needed to make the nth figure in the pattern.
Each figure uses 4 more circle(s) than the previous figure because an additional circle is added to the top, bottom, left, and right sides.
the other half i got incorrect.
A square is drawn below. What is value of x
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The opposite sides of a square are parallel, therefore the given angles are equal by ( Alternate interior Angle pair )
[tex]\qquad \sf \dashrightarrow \:4x + 5 = 2x + 25[/tex]
[tex]\qquad \sf \dashrightarrow \:4x - 2x = 25 - 5[/tex]
[tex]\qquad \sf \dashrightarrow \:2x = 20[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 10[/tex]
Hence, correct choice is B
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Aaron has $25 to spend at the carnival. Admission is $4.00 and the ride tickets are $1.25 each. What is the maximum number of ride tickets that Aaron can buy? Write and solve the inequality.
Answer:
25 dollars divided by 1.25 dollars gives a total of 20 tickets Aaron can buy