Answer:
[tex]n = 11[/tex]
Step-by-step explanation:
We are given two arithmetic sequences:
7, 12, 17, 22... and 27, 30, 33, 36...
And we want to determine n such that the nth term of each sequence is equivalent.
We can write a direct formula for each sequence. Recall that the direct formula for an arithmetic sequence is given by:
[tex]\displaystyle x_n = a + d(n-1)[/tex]
Where a is the initial term and d is the common difference.
The first sequence has an initial term of 7 and a common difference of 5. Hence:
[tex]\displaystyle x_n = 7 + 5(n-1)[/tex]
The second sequence has an initial term of 27 and a common difference of 3. Hence:
[tex]x_n = 27 + 3(n-1)[/tex]
Set the two equations equal to each other:
[tex]7 + 5 (n-1) = 27 + 3(n-1)[/tex]
Solve for n. Distribute:
[tex]7 + (5n - 5) = 27 + (3n - 3)[/tex]
Combine like terms:
[tex]5n + 2 = 3n + 24[/tex]
Isolate:
[tex]2n = 22[/tex]
Divide. Hence:
[tex]n = 11[/tex]
In conclusion, the 11th term of the first A.P. is equivalent to the 11th term of the second.
Find m<1
A. 70°
B. 65°
C. 50°
D. 40°
Question :- Find Angle 1 in diagram
Answer:- Exterior angle is equal to sum of two opposite interior Angle
so :- ATQ
[tex]140 = \angle1 + 90 \\ 140 - 90 = \angle1 \\ 50° = \angle1 \: \: ans[/tex]
so your answer is option (C) 50°
In the figure below, APQR is drawn. The line SPT is drawn such that
SPT | QR
m. PQR
because they are
try
PLS HELP ASAP
Answer:
The First answer is 57
Step-by-step explanation:
You take the two angles that you have and add them. Then you subtract that number from 180 and you get your answer. So, it should look something like this; 46+77=123, 180-123=57
If p(x) = x^2-6x+5, find p(4)
Answer:
-3
Step-by-step explanation:
p(x) = x^2-6x+5
Let x= 4
p(4) = 4^2-6(4)+5
Exponents first
= 16 -6(4) +5
Multiply
= 16 -24 +5
Add and subtract
= -8+5
= -3
Which expression can be used to model the phrase “the sum of three and a number”?
Answer:
3+x
Step-by-step explanation:
lol im doing this on edge too
hope it helps
Solve the equation for all values of x.
-x(x – 8)(x² + 25) = 0
From deltamath.com
Answer:
x=0 , x=8 , x = ±5i
Step-by-step explanation:
-x(x – 8)(x² + 25) = 0
Using the zero product property
-x =0 x-8 =0 x^2+25 =0
x =0 x= 8 x^2 = -25
x=0 x= 8 sqrt(x^2) = sqrt(-25)
x = ±5i
the sum of triple z and half of x
Answer:
3z+ 1/2 x
Step-by-step explanation:
This is an expression not an equation.
can you do LCM in division method of 550,750,900 plzz
2 | 550,750,900
2 | 275,375,450
3 | 275,375,225
3 | 275,125,75
5 | 275,125,25
5 | 55,25,5
5 | 11,5,5
11 | 11,1,1
LCM:-2×2×3×3×5×5×5×11=49500
What is the volume of this figure?
Answer:
Volume = 480 cm³
Step-by-step explanation:
Volume = lwh
*Split the shape into 3 rectangles.
Rectangle 1: 4 x 4 x 8 = 128
Rectangle 2: 14 x 4 x 4 = 224
Rectangle 3: 4 x 4 x 8 = 128
Total: 128 + 224 + 128 = 480 cm³
Answer:
480
Step-by-step explanation:
just took the quiz
Plz help guys, it is a pretty easy sum
Answer:
a3+13a
Step-by-step explanation:
sorry I don't know how to solve this
Answer:+-3
Explanation:
I added 4 on both side so that a^2+1/a^2-2 becomes a^2+1/a^2+2 which is Special products of (a^2+1/a^2).
When the numbers 0.04, 0.40, 0.043 are arranged in order, which is the middle number?
Pls be quick
Answer:
0.043
Step-by-step explanation:
arranging in ascending order
0.04,0.043,0.40
or they are 0.040,0.043,0.400
so middle term is 0.043
Given :
the numbers are 0.04, 0.40, 0.043
Arrange the given decimal numbers in ascending order
smallest number is 0.04
So the order of given decimal numbers are
0.04, 0.043 , 0.40
From this we can see that the middle number is 0.043
So, the middle number of the numbers 0.04, 0.40, 0.043 is 0.043
Learn more : brainly.com/question/21106706
ILL MARL BRAINIEST IF YOU DO THIS CORRECTLY!!!
Drag each tile to the correct box.
Order the expressions from least value to greatest value.
Answer:
okie dokie 5557/57890/6678/2559
Your neighbor pays $40 to have her lawn mowed and always adds a 15% tip. You and your friend decide to mow the lawn together and split the earnings evenly.
How much will each of you make?
Answer:
$23
Step-by-step explanation:
A 15% tip on $40 is $6. The total you and your friend will receive is $46. When you split that evenly, you will each receive $23.
Cost of Mowing = $40
Tip = 15%
= 15/100×40
= $6
So you get $40 + $6
= $46
When you divide it in 2 people
= 46/2
= $23
Therefore each of you will make $23
Must click thanks and mark brainliest
Х
49°
x=
degrees
PLEAIEJEHEHEHDJDJDJDI
Answer:
Step-by-step explanation:
Exterior equals the sum of opposite interior angles
x = 49 + 90
x = 139°
Helpp mee plss in this one
The graph of the equation
Answer:
Step-by-step explanation:
This equation has a vertical asymptote at x = -2 and a horizontal asymptote at y = 1. This is stuff you should know about rational equations as you learn about them. The vertical asymptote serves as the locked gate or really high wall that the graph cannot go through nor can it go around or over or under. The graph will never cross through the VA. The horizontal asymptote is a horizontal line, y = 1, that reveals the graph's end behavior. So picture this:
We have an x/y coordinate plane. There is a vertical asymptote at x = -2 and a horizontal line at y = 1. This graph, because it cannot go through the vertical asymptote, is "split" into 2 parts, basically. The left "part" comes in along the horizontal asymptote from negative infinity, almost touching it but not quite, and when it reaches x = -2, it drops along the vertical asymptote, almost touching it but not quite and goes down into negative infinity. The right "part" of the graph comes down from positive infinity along the vertical asymptote, almost touching it but not quite, and when it reaches y = 1, it curves along that line off into positive infinity.
Please help explanation if possible
Answer:
2-point shots: 31
3-point shots: 6
Step-by-step explanation:
In order to solve this system of equations, we can use the method of elimination. We can start by multiplying the equation x + y = 37 by 2 in order to get the x terms to cancel out in the next step(They can do that because we are making them the same value, 2x). So, we get:
2(x + y) = 2(37)
2x + 2y = 74
Now, we can subtract the equation 2x + 2y = 74 from the equation 2x + 3y = 80 in order to make a one-variable equation:
2x + 3y = 80
-(2x + 2y) = -(74)
y = 6
We can plug in the value of y in one of the equations to find x:
x + (6) = 37
x = 31
Since x stands for the amount of 2-point shots and y for the 3-point shots, we can say:
2-point shots: 31
3-point shots: 6
Answer:
31 and 6
Step-by-step explanation:
The 2 equations modelling the situation are
x + y = 37 → (1)
2x + 3y = 80 → (2)
Multiplying (1) by - 2 and adding the result to (2) will eliminate x
- 2x - 2y = - 74 → (3)
Add (2) and (3) term by term to eliminate x
0 + y = 6
y = 6
Substitute y = 6 into (1) and solve for x
x + 6 = 37 ( subtract 6 from both sides )
x = 31
Then 2- point shots = 31 , 3- point shots = 6
10
6
What is the length of the missing side?
Find the coordinates of the image of G(−3,9) after the translation (x,y)→(x+10,y−7) .
(13, 2)
(13, 16)
(7, 16)
(7, 2)
Answer:
D. (7,2)
Step-by-step explanation:
-3 +10 is 7
9-7 is 2.
kinda just put them together, you get (7, 2)
I hope this helps!
pls ❤ and mark brainliest pls!
The image of (-3, 9) is (7,2).
Mathematically speaking, a translation is defined by the following operation:
[tex]P'(x, y) = P(x,y) + T(x,y)[/tex] (1)
Where:
[tex]P(x,y)[/tex] - Original point.[tex]T(x,y)[/tex] - Translation vector.[tex]P'(x,y)[/tex] - Resulting point.If we know that [tex]P(x,y) = (-3, 9)[/tex] and [tex]T(x,y) = (10, -7)[/tex], then the resulting point is:
[tex]P'(x,y) = (-3, 9) + (10, -7)[/tex]
[tex]P'(x,y) = (7, 2)[/tex]
Hence, the image of (-3, 9) is (7,2).
We kindly invite you to check this question on translation: https://brainly.com/question/12463306
34. Which is the rule for the linear
function graphed below?
Answer:
We can note that this part of the graph is a linear function. This means that is has a general form: y = mx + c where m is the slop and c is the y-intercept (value of y at x=0). For the slope, we will use the points (0,2) and (3,5) to calculate it as follows: m = (y2-y1)/(x2-x1) = (5-2)/(3-0) = 1 For the y-intercept, we can note that at x=0, the value of y is 2. This means that the equation of the first part of the graph is: y = x + 2
Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/703068-which-rules-define-the-function-graphed-below.html
Let vector a = 3i + j - k.
Find the vector b in the direction of vector a such that |b| = 5
Answer:
5i +(5/3)j - (5/3)k
Step-by-step explanation:
Vector b is in the same direction as vector a, so it is a scalar multiple of a.
b = ca for some positive real number c.
b = c(3i + j - k) = 3ci + cj - ck
|b| = sqrt[(3c)^2 + c^2 - c^2] = sqrt(9c^2) = 3c
If |b| = 5, then 3c = 5 and c = 5/3
That makes b = (5/3)(3i + j - k) = 5i +(5/3)j - (5/3)k
Somebody that knows the answer please help ASAP!!!!!
Answer:
Below!
Step-by-step explanation:
To find the volume of a cylinder, you can use this formula : v = πr^2h
r = 12km , h = 7 km
v = π(12km)^2(7)
= 3166.72539
Round to the nearest 10th
= 3166.7 km^3
Hope this helps! Best of luck <3
A washing machine was marked 60% above its cost price . the shopkeeper allows a discount of 25% . calculate his gain%.
Answer:
20%
Step-by-step explanation:
I looked it up and that's what I got
answer TO GET BRAINLY!!!
[tex]\huge\mathsf\green{ANSWER}:—[/tex]
[tex]option \: c \: \sqrt{4} \: is \: the \: correct \: option[/tex]
Explanation :-[tex] \sqrt{4} = \sqrt{2 \times 2} = 2[/tex]
But irrational numbers are the numbers that are not rational numbers but 2 is a rational number that's why option c is correct .
plz mark me as brainliest answerA motorbike is for sale at $13000. Finance is available at $3000 deposit and monthly
repayments of $520 for 4 years. What is the interest paid?
520 x 12 months x 4 years = 24960
24960 + 3000 deposit = 27,960 total paid.
27,960 - 13,000 = 14,960 total interest paid
WILL GIVE BRAINLIEST
How many integers n between 1 and 100 inclusive are there, such that n^2 + n is divisible by 99
Answer:
It is 121
Step-by-step explanation:
Translate this phrase into an algebraic expression.
the sum of 4 and twice a number is 12
Answer:
4+2x = 12
Step-by-step explanation:
sum means add an is means equal
4+2x = 12
Step-by-step explanation:
the sum of 4 and twice a number is 12:
Have a great day! I hope this helps!! :)if 2160= 2^a3^b5^c the solution set of a,b,c is
{4,3,0}
{1,0,3}
{4,3,1}
{2,3,4}
Answer:
4,3,1
Step-by-step explanation:
2^a3^b5^c=2160
2^a3^b5^c=2^4 3^3 5^1
a=4,b=3 and c=1
Divide. Write your answer as a decimal.
8.722÷(−3.56)=
Answer:
-2.45
Step-by-step explanation:
I used a calculator to find this so I hope it helps :)
A car travels the first 19km of its journey at an average speed of 57km/h and the remaining 55km at an average speed of 110km/h. Find the average speed of the car for its entire journey.
Answer:
57km /hr+55km/hr÷2 = 56 km/hr
Answer: 14.8km/h
Hope this helps!! Have a good day!!
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
1 : 3
Step-by-step explanation:
There are 2 orange triangles and 6 blue triangles
2:6
Divide each by 2
2/2 : 6/2
1 : 3
Answer:
1:3
Step-by-step explanation:
There are 2 orange triangles and 6 blue triangles.
This can be shown as 2:6
You can then simplify the ratio down by halving it:
1:3
Hope this helps :)
