Answer:
43rd term
Step-by-step explanation:
Arithmetic sequences are basically linear functions, so the same value is added every time. So, knowing that Asub1 is equal to one, and Asubn is equal to 169 we can take 169-1 and divide by our common difference. This is four as 5-1=4 and 9-5=4.
So, (169-1)/4=42.
This is however 42 terms after Asub1, so this would be the 43rd teen of the sequence!
2[tex]\frac{3}{5}[/tex] × 3[tex]\frac{1}{3}[/tex]
Answer:
[tex]7\frac{5}{3}[/tex]
Step-by-step explanation:
[tex]2\frac{3}{5}[/tex] × [tex]3\frac{1}{3}[/tex]
First make these two fractions as improper fractions.
[tex]\frac{13}{5}[/tex] × [tex]\frac{10}{3}[/tex]
Now multiply the fractions
[tex]\frac{130}{15}[/tex]
You can divide both sides by 5 to simplify the fraction.
[tex]\frac{26}{3}[/tex]
Now make it as a mixed number.
[tex]7\frac{5}{3}[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Hello there! (:
[tex]2\frac{3}{5} *3\frac{1}{3}[/tex]
Follow these steps to multiply mixed numbers:
Convert them into improper fractions.Multiply. the numerator by the numerator and the denominator by the denominator.Simplify if necessary.Now, how do we convert a mixed number into an improper fraction?
Here are the steps:
Multiply the whole number times the denominator.Add the numerator.Simplify, if necessary.Step 1:
2*5=10
10+3=13
[tex]\frac{13}{5}[/tex]
Now, we do the same to the second fraction:
[tex]\frac{10}{3}[/tex]
[tex]\frac{13}{5} *\frac{10}{3}[/tex]
Step 2. Multiply the numerator times the numerator and the denominator times the denominator:
[tex]\frac{26}{3}[/tex]
Now, let's convert this fraction into a mixed number:
[tex]7\frac{5}{3}[/tex]
Hope it helps you!
If you have any queries, feel free to ask me! (:
~A smiley teen who adores helping others
[tex]MagicalNature[/tex] here to help
Michelle has $1200 in her savings account if the bank pays 3% interest per year on savings how much interest does she earn in a year? A: $360 b: $300 C: $30 D: $36
Answer:
d - $36
Step-by-step explanation:
I=Prt
(interest=principle*rate*time in years)
I=1200*.03*1
I=1200*.03
I=36
Twice the difference of a number 8 equals 5
Answer:
2(n-8) = 5
Step-by-step explanation:
I'm assuming that its supposed to say "a number and 8"
Answer:
x=10.5
Step-by-step explanation:
x will be a number
2(x-8)=5 --> I'm assuming your question is " twice the difference of a number and 8 equals 5.
Solving
2(x-8)=5
2x-16=5 --> distrubute the 2--> 2*x = 2x and 2*-8 = 16
2x=16+5--> add 16 to other side of x
2x=21--> add like terms
2x / 2 =21 / 2--> single out x
x=10.5 --> 21/2 --> just divide
rewriting subtraction into addition
-3-6=
Answer: 6+3 = 9
Step-by-step explanation:
-3-6 is equivalent to 6-(-3). Subtracting a negative number is the same as adding a positive number, so 6-(-3) is the same as 6+3. 6+3 = 9.
Plzzzzz help meeeeeeee plzzzzz
Answer:
1) The profit made is $560.
2) Don't know sorry!!
3) A student will pay $1134 for a calculator.
Step-by-step explanation:
How many solutions does |3x + 1| = -5 have?
need to know answer asp
Answer:
0
Step-by-step explanation:
Absolute values can't have negatives as answer. Useful tip, If there is a negative as an answer for absolute value, there is no solution, if it has 0 as an answer, there is 1 solution, and if it has a positive as answer, then it will have 2 solutions.
Solve with elimination please
Answer:
x = 6
Step-by-step explanation:
6x - 3y = -21 => 6x = 3y - 21
4x = 3y - 9 => 4x = 3y - 9
-2x = -12
-2x/-2 = -12/-2
x = 6
Hope this works
50 POINTS, GET RIGHT FOR BRAINLIEST
What is the prime factorization of 144? (The ^ means exponent)
A) 2 × 6^2
B) 2^2 × 3^4
C) 2^3 × 3^2
D) 2^4 × 3^2
Answer:
A and D
Step-by-step explanation:
A is 2 times 6 to the 2nd which is just 24 and D is 16 times 9 which is 144 both are prime factors of 144.
Harry has a balance of $-60.00. He buys 4 bags of apples at the store. 1 bag of apples costs $3. What is his balance now? Explain whether he is making a good financial decision.
Answer:
I may not know his balance but I think he's not making a good financial decision because he already has - $60 in his account and he's spending more making him more liable to burn money and it's not advisable
Adding which of the following ordered pairs to the set {(0, 1), (2, 4), (3, 5)} would make it not a function?
Answer:
2
Step-by-step explanation:
What is the equation of the line that passes through the point (8,-8) and has a slope of -2
Answer:
y=-2x+8
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the point (8, -8) and has a slope of -2
We can write this equation in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
Since we already know the slope of the line, we can immediately plug it into the equation as m:
y=-2x+b
Now we need to find b
As the equation of the line passes through the point (8, -8), we can use it to help solve for b, since (8, -8) is a solution to the equation, meaning that it will yield a true statement when plugged into the equation
So substitute 8 as x and -8 as y:
-8=-2(8)+b
Multiply
-8=-16+b
Add 16 to both sides
8=b
Now substitute 8 as b into the equation:
y=-2x+8
Hope this helps!
.Equation of line in point slope form
[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]
[tex]\\ \sf\longmapsto y+8=-2(x-8)[/tex]
[tex]\\ \sf\longmapsto y+8=-2x+16[/tex]
[tex]\\ \sf\longmapsto 2x+y+8-16=0[/tex]
[tex]\\ \sf\longmapsto 2x+y-8=0[/tex]
A satellite’s original velocity is 40000
m/s. After 10 minutes, the velocity of
the satellite is 4000 m/s. What is the
satellite’s acceleration?
Answer:
-60m/s²
Step-by-step explanation:
The first thing to do is know the equation:
(Final velocity - initial (original) velocity) / time (seconds)
Next you check the units:
10 minutes = 600 seconds
Then you use the equation to solve the problem:
(4000 - 40000) = -36000
-36000 / 600 = -60
Units for acceleration = m/s²
Answer = -60m/s²
The value is negative because the satellite's velocity has decreased
Hope this helps.
Which of the following ordered pairs represent points that lie on a horizontal line?A.(−2, 3), (−5, 3)B.(2, 3), (−2, 4)C.(−2, 3), (−2, 4)D.(2, −3), (5, 3)
Answer:
(−2, 3), (−5, 3) lie on a horizontal line. The y value is 3 for both values of x. The line runs parallel to the x axis and 2 steps above.
Step-by-step explanation:
Identify two opposite rays.
Answer:
B and D
Step-by-step explanation:
opposite rays 180° to each other
here B and D are opposite rays
Answer:
B and D
Step-by-step explanation:
Each opposite ray need 180 degree.
What is a reasonable estimate for the subtraction equation 3.2 − 1.4 = ________ when you round each number to the nearest whole number? (2 points)
1
1.5
2
2.5
Answer:
Hello!
After reviewing the question you have provided, I came up with the correct answer:
C) 2
Step-by-step explanation:
Firstly:
As the question states, you need to round each number to the nearest whole number and then choose the closest estimate to what the nearest solution could be.
When you round the two numbers you should come up with "3-1= ____".
This is because you round up with a number has .5 or higher, and you round down when any number has .4 or lower.
So 3.2 rounds to 3
And 1.4 rounds to 1.
With the new equation you can then solve "3-1= 2"!
Hope this helps!
2x⁴-6x²+3 divided by 2x-6
Step-by-step explanation:
answer is 552€₹%+×::!^*I HOPE ITS CORRESCT10 to the power of -2
Answer:
0.01
Step-by-step explanation:
your welcome :D have a good day pls mark me with the crown (whatever its called lol)
also, this one I have an answer but not rly sure so um help
Answer:
h(x) = - 2x² + 3
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here the shift is 7 units up , then
h(x) = f(x) + 7 = - 2x² - 4 + 7 = - 2x² + 3
A car is sold for £7,800 If this represents a depreciation in value to 60% of its original
price, then calculate the original price of the car.
Answer:
6,543
Step-by-step explanation:
This is my guess ONLY.
Find the volume of this prism.
8cm,9cm,11cm
V=0.5 time 8cm time 9cm time 11cm
V(answer)=396cm2
I hope it's right.
Answer:
792 cm³Step-by-step explanation:
Volume of prism:
V = lwhSubstitute dimensions:
V = 8*9*11 = 792 cm³What is the equation of the line that passes through the point (-3,-6) and (2,-2)
Answer:
[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the point (-3, -6) and (2, -2)
There are 3 ways to write the equation of the line:
In slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptIn point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1,y_1)[/tex] is a pointIn standard form, which is ax+by=c, where a, b, and c are integer coefficients, but a and b cannot be zero, and a cannot be negativeThe easiest way would either be slope-intercept or point-slope form, but let's write the equation in slope-intercept form, since it's the most common way
So we'll need to find the slope
The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything needed to find the slope, let's just label the values of the points to avoid any confusion:
[tex]x_1=-3\\y_1=-6\\x_2=2\\y_2=-2[/tex]
Now substitute these values into the formula. Remember that m is the value of the slope:
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-2--6}{2--3}[/tex]
Simplify the fraction:
m=[tex]\frac{-2+6}{2+3}[/tex]
Add the numbers together:
m=[tex]\frac{4}{5}[/tex]
So the slope of the line is 4/5
Let's plug it into the formula y=mx+b, since we now know the value of m
y=[tex]\frac{4}{5}[/tex]x+b
Now let's find b
As the equation passes through both (-3, -6) and (2, -2), we can use either point to help solve for b
Either point works, but let's take (2, -2) for instance
Substitute 2 as x and -2 as y
-2=4/5(2)+b
Multiply
-2=8/5+b
subtract 8/5 from both sides
-18/5=b
Now substitute -18/5 as b into the equation:
[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]
Hope this helps!
If we play a game where I start with 2 dollars and you start with one dollar, and I have a probability of 1/3 of winning a dollar from you and you have a 1/3 probability of winning a dollar from me, what is the probability that I win all of your money
Answer:
1/3 or 0.33
Step-by-step explanation:
Hope it helps
LMK if it does and weather it is wrong or right
Passes through (2, 3) at a gradient of 2
Answer:
y = 2x-1
Step-by-step explanation:
I'm guessing gradient of 2 means slope of 2
if line passes through (2,3) and has a slope of 2, we can use the slope intercept equation
slope-intercept (y=mx+b)
m is the slope and b is the y-intercept (which we are trying to find)
so far, we have a point and a slope so we can fill in x,y, and m
(3) = (2)(2) + b
3 = 4 + b
3-4 = 4-4 + b (to undo addition, you use subtraction so I minus 4 from each side)
-1 = b
we found b so we just take the (2,3) out of the equation substitute the x,y back into the equation
y = 2x - 1
Identify the conclusion of the statement.
If AB is a segment, then it has two endpoints.
A. The segment has two endpoints.
B. If AB is a segment.
C. AB vis a segment.
D. Then, the segment has two endpoints.
Answer:
its b
Step-by-step explanation:
Plz help i don’t understand the question
Answer:
the reciprocal of 1 6/7 is 7/15, so 7/15 and 7/13 have a difference of two in their denominators.
Step-by-step explanation:
hope I helped you! :D
How Long will it take each student plan to be paid down to $1000?
The corresponding answers for each student plan are:
plan A: 15 years
plan B: 5 years
plan C: 10 years
plan D: 9 years
Thus, first, the graph corresponding to each of the plans must be analyzed. The Y-axis corresponds to money and the x-axis corresponds to the time in years.
Thus, in-plane A, it can be observed that to reach the desired value, the graph will be projected in exponential, so it will be close to 15 years. In plan B, this projection will be reached around 5 years. In plans C and D, this projection will be 10 years and 9 years respectively.
Learn more: brainly.com/question/14355665
5.) Which is the best deal? *
$25 for 5 pizzas
$32.48 for 7 pizza
$27.45 for 3 pizzas
$28.74 for 4 pizzas
Answer:
$27.45 for 3 pizzas
In my opinion
Answer:
$32.48 for 7 pizzas
Step-by-step explanation:
25 divided by 5 = $5
32.48 divided by 7 = $4.64
27.45 divided by 3 = $9.15
28.74 divided by 4 = $7.185
Which of the following is equal to 722 grams? A. 0.722 kilogram B. 7,220 kilograms C. 722,000 kilograms D. 7.22 kilograms
Answer:
A
Step-by-step explanation:
Answer:
conversion from gram to kilogram
u divide the gram by 1000
which is 722/ 1000
=0.722kilograms
i.e answer is A
if [tex]a_{1}[/tex]=10 and [tex]a_{n}[/tex]=[tex]2a_{n-1}[/tex] then find the value of [tex]a_{5}[/tex]
Answer:
a₅ = 160
Step-by-step explanation:
Using the recursive rule and a₁ = 10 , then
a₂ = 2a₁ = 2 × 10 = 20
a₃ = 2a₂ = 2 × 20 = 40
a₄ = 2a₃ = 2 × 40 = 80
a₅ = 2a₄ = 2 × 80 = 160
Given that E is the midpoint of AD and BC, which of the following proves that AB∥CD?
HELP ASAP!
The proof that shows that AB∥CD in the diagram given is:
1. E is the midpoint of AD --> Given
2. [tex]\overline{AE} \cong \overline{ED}[/tex] ---> Definition of midpoint
3. E is the midpoint of BC --> Given
4. [tex]\overline{BE} \cong \overline{EC}[/tex] ---> Definition of midpoint
5. ∠AEB ≅ ∠CED --> Vertical Angles Theorem
6. ΔABE ≅ ΔDCE ---> SAS Congruence Theorem
7. AB∥CD ---> CPCTC Theorem.
The given figure showing ΔABE ≅ ΔDCE is in the image attached below.
We know that:
E is the midpoint of AD. Therefore, AE ≅ ED by the definition of midpoint.
E is the midpoint of BC. Therefore, BE ≅ EC by the definition of midpoint.
∠AEB and ∠CED are vertical angles, therefore, ∠AEB ≅ ∠CED by the vertical angles theorem.
This means that ΔAEB and ΔDEC have:
two pairs of congruent sides - AE ≅ ED and BE ≅ EC
one pair of congruent included side - ∠AEB ≅ ∠CED
Hence, ΔABE ≅ ΔDCE by the SAS Congruence Theorem.
If both triangles are congruent, it implies that all corresponding sides and angles of ΔAEB will be congruent to that of ΔDEC.
Therefore, AB∥CD by the CPCTC Theorem.
Thus, the proof that shows that AB∥CD in the diagram given is:
1. E is the midpoint of AD --> Given
2. [tex]\overline{AE} \cong \overline{ED}[/tex] ---> Definition of midpoint
3. E is the midpoint of BC --> Given
4. [tex]\overline{BE} \cong \overline{EC}[/tex] ---> Definition of midpoint
5. ∠AEB ≅ ∠CED --> Vertical Angles Theorem
6. ΔABE ≅ ΔDCE ---> SAS Congruence Theorem
7. AB∥CD ---> CPCTC Theorem.
Learn more about the CPCTC Theorem on:
https://brainly.com/question/14706064