Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = - 1
To find the common difference subtract the previous term from the next term
We have
d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5
Therefore d = 5
Substitute the values into the general formula
That's
[tex]A(n) = - 1 + (n - 1)(5) \\ = - 1 + 5n - 5 \\ = 5n - 6 \: \: \: \: \: \: \: \: \: \: \: [/tex]
To find A(50) substitute the value of n that's 50 into the formula above
[tex]A(50) = 5(50) - 6 \\ \: \: \: \: \: \: \: \: \: = 250 - 6 \\ \: = 244[/tex]
Hope this helps you
Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)dwhere a is the first term
n is the number of terms
d is the common difference
From the question
a = - 1To find the common difference subtract the previous term from the next term
d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5Therefore d = 5
Substitute the values into the general formula
That's
[tex]A(n)=−1+(n−1)(5) \\ \: \: \: \: \: \: \: \: =−1+5n−5 \\ =5n−6[/tex]
To find A(50) substitute the value of n that's 50 into the formula above
[tex]A(50)=5(50)−6 \\ \: \: \: \: \: \: \: \: =250−6 \\ \: \: =244[/tex]
The difference between two integers is 6. The sum of their sqaures is a minimum. Find the 2 integers.
Answer with explanation gets brainliest.
Answer:
3 and - 3Step-by-step explanation:
Let the numbers are x and y.
Their difference is:
x - y = 6Sum of their squares:
S = x² + y²Substitute y = x - 6 into sum equation:
S = x² + (x - 6)² = x² + x² - 12x + 36 = 2x² - 12x + 36We observe this is a quadratic expression. It has minimum value at vertex, which is when x = -b/2a or:
x = - (-12/2*2) = 3Then the value of y is:
y = x - 6 = 3 - 6 = - 3Find the area of the figure. All intersecting sides meet at right angles. a. 1,440 m2 c. 76 m2 b. 106 m2 d. 46 m2
that all i know hope it helped to your modules
Can you solve for x plz?
Answer:
x=25
Step-by-step explanation:
4x+50=150
4x=100
x=25
−6/7 m = −84
what does m =
Answer:
m=98
Step-by-step explanation:
-6/7m=-84 - Divide both sides by -6/7
-84/(-6/7)=84*7/6=98
Answer:
m = 98
Step-by-step explanation:
First multiply the fraction's denominator, which is 7, on both sides to get -6m = -588. Then divide both sides by -6 to get m = 98.
Hope this helps you :)
Mrs. Reyes purchased nine books for her classroom that each cost $5.63. Using complete sentences, explain how to find the total cost of the books. Make sure your answer includes the steps of the algorithm you would use, as well as the product. HELP PLEASE i'm stuck
Answer:
5.63 x 9 = 50.67
Mrs. Reyes has spent $50.67 on books.
IS CELL REPLICATION THE SAME THING AS DNA REPLICATION OR ARE THEY TWO SEPERATE THINGS
Answer:
See below:
Step-by-step explanation:
So, first of all, we know that Cell and DNA Replication are different just by looking at their names.
Cell Replication is to replicate cells and not DNA whereas DNA replication replicates DNA but not cells.
We do know that DNA resides inside Cells what we call eukaryotes.
So, in short, no, they are different things.
Cheers!
find the total tax to the nearest cent $58 bill; 20% tip
Answer:
$ 68 $ 58
Step-by-step explanation:
I'm not sure answer is $ 68 $ 58
4 ^ 5 (45 - 15) 3 / 12
Answer:
2/4
Step-by-step explanation:
Write the expression using exponents.
3 × 3 × 3 × 3
A. 33
B. 34
C. 43
D. 35
Answer:
B
Step-by-step explanation:
5 900 rounded to the nearest thousand
Answer:
6000
Step-by-step explanation:
9>5 so round up
6000
Chaos theory worksheet
!!NEED ASAP!!
The London Eye is Europe's
largest Ferris wheel with a
diameter of 120 meters. It takes
30 minutes for the wheel to make
one full rotation. If the wheel is
running continuously, how far will
a passenger travel in 40 minutes?
Round your answer to
the nearest tenth.
Diameter = 120m
Circumference = (120 · π) m
(40 min) / (30 min/rotation) = 4/3 rotation
Passenger travel = (4/3) · (120π) = 160π meters = 502.7 meters
Write 41. 287 to 1 decimal place
if marked price = 1,540 during the off season a discount was given and it was sold for 1,463. find the discount and the discount percent
Answer:
The discount is $77, and the discount percent is 5%
Step-by-step explanation:
Discount: $1,540 - $1,463 = $77
Discount percent: $1,463 / $1,540 = 0.95, 1.00 - 0.95 = 0.05, 0.05 = 5%
Why cant it sign me in at this time im to young or sum like im 11, sorry i just need help and quick i really think this is a rare app and it will make me fly through my work and plus i have a lot to do
Answer:
well if you managed to ask this question then you're signed in. but maybe next time you might wanna lie your age...
Which equation represents a line which is perpendicular to the line 5x+2y=12?
A. y = -5/2x + 2
B. y = -2/5x - 4
C. y = 5/2x + 3
D. y = 2/5x - 3
Name the 5 Steps to solving equations and inequalities.
Answer:
Step 1 : First, solve one linear equation for y in terms of x .
Step 2 : Then substitute that expression for y in the other linear equation. ...
Step 3 : Solve this, and you have the x -coordinate of the intersection.
Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.
Step-by-step explanation:
How to find the theoretical mean and standard deviation using central limit therom.
Answer:
I can even see anything can you reupload your answer, please?
Step-by-step explanation:
What is
2(3x + 4) = -28
Answer:
x= 10/3
or
x= 3.334
Depending on simplified form asked.
Step-by-step explanation:
6x +8 =28
subtract 8 from both sides
6x = 20
divide by 6
x=20 /6
x= 10/3 or x =3.334
if you like my answer, please mark me brainliest !! thanks !! <3
There are mangoes and oranges in a basket in the ratio 7: 11. If the total number of fruits is 720, then how many mangoes are there in the basket?
Answer:
280 mangoes
Step-by-step explanation:
sum the parts of the ratio, 7 + 11 = 18 parts
Divide the total by 18 to find the value of one part of the ratio.
720 ÷ 18 = 40 ← value of 1 part of the ratio , then
7 × 40 = 280 ← number of mangoes
Answer:293
Step-by-step explanation:
720-719= 1
1+292= 293
What is the area of this tile?
Answer:
i think its 16 but im not sure
Step-by-step explanation:
6+6+2+2= 16 but im not sure if that how u do it or not
it's been so long since i've done that stuff. 12 in i think
Modeling with Systems how do you do this?
Answer:
The systems model is a process-oriented representation that emphasizes the influences, or flow, of information between modules.
Step-by-step explanation:
A systems model describes how processes interact and what operations these processes perform, but it does not go into details as to how these processes are implemented.
w+(−2.8)=4.3 whats the answer
Answer:
w=7.1
Step-by-step explanation:
Answer:
w=7.1
Alternate form
w= [tex]\frac{71}{10}[/tex] , w= 7[tex]\frac{1}{10}[/tex]
How does this image help you understand why the French surrendered to the Prussians?
Answer:
It's hard.
Step-by-step explanation:
Answer:
Step-by-step explanation:
If you look carefully at the diagram, it looks like the French have no way out. The Prussians are on the outside perimeter and can always get supplies into their position. Since they are completely surrounded, the French do not enjoy that luxury.
Furthermore (and I'm guessing here) the Prussians probably outnumbered the French. Now it is possible to get around that problem, but not terribly likely if the numbers are really lopsided.
Write in standard form 456 000
Answer: 4000,000 + 50,000 + 6,000
Step-by-step explanation: just break apart the number and add
A vector is in standard position, with its terminal point in the second quadrant and an x-coordinate of –5. The vector has a magnitude of StartRoot 61 EndRoot.Complete the statements describing the vector. The y-coordinate of the vector to the nearest tenth is . The direction angle to the nearest whole number is °.
a.
The y-coordinate of the vector with its terminal point in the second quadrant is 6.
The magnitude of the vector, r = √(x² + y²) where x = x-coorcinate of vector = -5 and y = y-coordinate of vector.
Since r = √61 and r = √(x² + y²)
Making y subject of the formula, we have
y = √(r² - x²)
Substituting the values of the variables into the equation, we have
y = √((√61)² - (-5)²)
y = √(61 - 25)
y = ±√36
y = ±6
Since r is in the second quadrant, its y-coordinate is positive.
So, y = 6
So, the y-coordinate of the vector with its terminal point in the second quadrant is 6.
b.
The direction angle of the vector with its terminal point in the second quadrant is 130°
The direction angle of the vector is gotten from tanФ = y/x
Subsstituting x and y into the equation, we have
tanФ = y/x
tanФ = 6/-5
tanФ = -1.2
tan(180° - Ф) = 1.2
Taking inverse tan of both sides, we have
180° - Ф = tan⁻¹(1.2)
180° - Ф = 50.2°
Ф = 180° - 50.2°
Ф = 129.8°
Ф ≅ 130° to the neares whole number
The direction angle of the vector with its terminal point in the second quadrant is 130°.
Learn more about vectors here:
https://brainly.com/question/18478651
Answer:
first one is 6.0 and the second is 130
Step-by-step explanation:
Monique saved money to buy softball equipment. She used 1/4 of her savings to buy a bat. She used 2/3 of her savings to buy a glove. How much of her savings does Monique have left?
Answer:
she has 1/3 of her savings left
Step-by-step explanation:
HELPP PLEASEE AND THANK YOU:)
Step-by-step explanation:
i think the answer is 112°.......
5 sin^2 x = sin x
please help.
[tex]\\ \sf\longmapsto 5sin^2x=sinx[/tex]
Divide both sides by sin x[tex]\\ \sf\longmapsto \dfrac{5sin^2x}{sinx}=\dfrac{sinx}{sinx}[/tex]
[tex]\\ \sf\longmapsto 5sinx=1[/tex]
[tex]\\ \sf\longmapsto sinx=\dfrac{1}{5}[/tex]
[tex]\\ \sf\longmapsto sinx=0.2[/tex]
[tex]\\ \sf\longmapsto x=sin^{-1}(0.2)[/tex]
[tex]\\ \sf\longmapsto x=11.53[/tex]
Mia is 7.04304 x 10 minutes old. Convert her age to more appropriate units using years, months, and
days. Assume a year has 365 days and a month has 30 days.
a
Mia is 13
years
months and
days old
Answer:13 years,1 month, and 29 days
Step-by-step explanation:
