When we put the value of 1 in place of n in the equation, the value obtained will be equal to the largest prime factor that is 61.
What is a Prime number?A prime number is any whole number that is greater than 1 and cannot be created by combining other whole numbers. Consequently, a prime number's only factors are 1 and the actual number.
As per the given expression in the question,
2(7ⁿ) - 2(7ⁿ⁻¹) + 7ⁿ⁺¹
Use exponent rule:
[tex]a^b.a^c=a^b^+^c[/tex]
Put the values accordingly,
2(7ⁿ) - 2(7ⁿ⁻¹) + 7ⁿ . 7¹
So,
[tex]\frac{a^b}{a^c}= a^b^-^c[/tex]
⇒ 2(7ⁿ) - 2(7ⁿ/7¹) + 7ⁿ . 7¹
Simplify the above equation,
2(7ⁿ) - 2/7(7ⁿ) + (7)7ⁿ
Take out 7ⁿ as common,
(2 - 2/7 + 7)7ⁿ
Therefore,
61/7(7ⁿ)
Put n = 1 to check for the largest prime number,
61/7(7¹)
= 61
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Solve the system of linear equations by substitution.
[tex] \large{\red{\underline{\bf{Required \: Solution \: : }}}} [/tex]
Here we have been provided with two equations and we have to solve them by substitution method and get the value of x and y.
y = x - 4 (Equation No 1)y = 4x - 10 (Equation No 2)Here we have been already provided a temporary value of y in first equation so let us substitute in the second equation.
[tex]: \implies \: \sf{y \: = \: 4x \: - \: 10}[/tex]
[tex]: \implies \: \sf{x \: - \: 4 \: = \: 4x \: - \: 10}[/tex]
[tex]: \implies \: \sf{x \: = \: 4x \: - \: 10 \: + \: 4}[/tex]
[tex]: \implies \: \sf{x \: = \: 4x \: - 6}[/tex]
[tex]: \implies \: \sf{x \: - 4x \: = \: - 6}[/tex]
[tex]: \implies \: \sf{ - 3x \: = \: - 6}[/tex]
[tex]: \implies \: \sf{ \cancel - \: 3x \: = \: \cancel- \: 6}[/tex]
[tex]: \implies \: \sf{ 3x \: = \: 6}[/tex]
[tex]: \implies \: \sf{ x \: = \: \dfrac{6}{3} }[/tex]
[tex]: \implies \: \sf{ x \: = \: \cancel\dfrac{6}{3} }[/tex]
[tex]: \implies \: \boxed{\bf{ x \: = \:2 }} \pink\bigstar[/tex]
Therefore, value of x is 2..!!
Finding out value of y :
Here we would substitute the value of x which we got as 2 in the first equation inorder to get the value of y.
[tex]: \implies \: \sf{ y \: = \: x \: - \: 4 }[/tex]
[tex]: \implies \: \sf{ y \: = \: 2 \: - \: 4 }[/tex]
[tex]: \implies \: \boxed{\bf{ y \: = \:-2 }} \pink\bigstar[/tex]
Therefore, value of y is -2.
Identify the lobe of the brain that is highlighted.
a) frontal
b) temporal
c) occipital
d) parietal
The lobe of the brain that is highlighted is Temporal Lobes.
Therefore, The correct option is B.
Temporal Lobes of the brain =
The temporal lobes are a region of the brain located on the sides of the head, beneath the lateral fissure, which separates them from the frontal and parietal lobes.
They are part of the cerebral cortex and play a crucial role in various cognitive functions and sensory processing.
Here are some key features and functions associated with the temporal lobes:
MemoryUnderstanding Language (Receptive Language)SequencingHearingOrganizationHence the correct option is B.
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NEED HELP ASAP PLS
polygon ABCD, shown in the figure is dilated by a scale factor of 8 with the origin as the center of dilation , resulting in the image of ABCD .
The slope of CD is ____?
Answer:
2/1 or 2overrun
Step-by-step explanation:
You can see that the rais/run for C to D is 2/1. So that would be the slope.
i forgot how to do this plz help
Answer:
C. 48°
Step-by-step explanation:
You get a brand new car for your 16th birthday, valued at $25,875. Each year you
own the car it decreases in value by 15%. How much will the car be worth when you
turn 21?
Answer: $25,875 - 15% = 21 993.75 0r $25,875 + 15% = 29 756.25
Step-by-step explanation:
Greg is four feet tall. how many inches tall is Greg?
Answer:
48 inches
Step-by-step explanation:
Answer:
it is the wrong answer
Step-by-step explanation: he is 5 feet and 10 inches
2. Find the area of the trapezoid.
A. 44^3 ft
B. 52^3 ft
C. 44^3 - 24ft
D. 60^3 ft
Answer:
i think the answer is b i hope it helps
Step-by-step explanation:
Neptune has a diameter of about 3 x 10^4 miles. Earth has a diameter
of about 8 x 10^3 miles.
Earth's diameter is about__
the size of Neptune's diameter.
2.67 times
37.5 times
0.267 times
26.7 times
Answer:
0.267 times
Step-by-step explanation:
(8×10³) ÷ (3×10⁴) = 0.2666666667
Please help me no links im timed 1 question HELP ME!!!
Answer:
c. add 5 to each side
Step-by-step explanation:
Answer:
c. add 5 to each side
Step-by-step explanation:
that's the fastest way to get y=20
step by step please :(
Convert the equation to Standard Form.
y=2(x+1)^(2)-4
Answer:
y = 2x^2 + 4x - 2
Step-by-step explanation:
y=2(x+1)^(2)-4 is in vertex form. We want the same equation in standard form, which looks like y = ax^2 + bx + c.
Perform the indicated multiplication (squaring of x + 1):
y = 2(x^2 + 2x + 1) - 4, or
y = 2x^2 + 4x + 2 - 4, or
y = 2x^2 + 4x - 2 This is in the standard form of a quadatic.
Will give brainliest!
Answer:
Step-by-step explanation:
multiply 0.83 by 0.06 = 0.0498
multiply 0.17 by 0.52 and add that to the first one
which gives you the prob of winning of 0.1382
There are 9 cars in the parking lot. 2 cars are parked on the left and the other cars are
parked on the right. What fraction of the cars are parked on the right?
help me plss im beeging
Answer:
1. x = 12
2. x= 9
3.x = 14
4.x=18
Step-by-step explanation:
Students in middle school and high school were surveyed about whether they have taken the SAT. Some of the survey results are listed here.
37% of middle school students have taken the SAT.
4% of high school students have not taken the SAT.
This information is shown in the two-way frequency table below. Drag numbers into the empty spaces to complete the table.
11. Choose the appropriate graph for the equation below using slope-intercept form. y = -3x + 8 (multiple choice)
What is the output is 2 less than twice the input.
Answer:
no
Step-by-step explanation:
at least I don't think so be cause it hard to explain
Can someone pls help I will give you the crown
Answer:
i think b
Step-by-step explanation:
solve for the variable, please show work.
correct answer = brainliest !!!!
3√(c) + 1 = 1
DUE IN A BIT PLEASE HELP WILL MARK BRAINLIEST JUST PLEASE HELP!! :((
Answer: D
Step-by-step explanation:
Please show work
I'll give brainliest
Answer:
7
Step-by-step explanation:
a right angle is 90 degrees so
90=76+2x subtract 76 from both sides
-76 -76
________
14=2x divide 2 from both sides
_ ___
2 2
7=x
Check:
76+(2*7)=90 correct
Answer:
x=7
Step-by-step explanation:
76°+2n=90°
2x=90-76
[tex] \frac{2x}{2} = \frac{14}{2} [/tex]
[tex]x = 7[/tex]
hope it helps...
Valentina's family is planning to have a party for her quinceanera. They are considering two different locations to rent for her party. Casa Lucia charges a $200 one-time rental fee plus $500 per hour. The Silver Fox charges $200 per hour plus a $1,100 one-time rental fee. Explain what the solution to the system of equations represents in this real-world context.
Answer:
number of hours = 3 hours
Step-by-step explanation:
Let
x = number of hours
Casa Lucia = 200 + 500x
Silver Fox = 1,100 + 200x
To solve the equation, equate both cost of rent
Casa Lucia = Silver Fox
200 + 500x = 1,100 + 200x
200 - 1,100 = 200x - 500x
-900 = - 300x
x = -900 / -300
x = 3 hours
number of hours = 3 hours
The solution to the system of equations in this real-world context represents the number of hours both locations can be rented with the same cost.
It means both locations cost the same if rented for 3 hours each
1. Find the probability that you will roll a six and then a five when you roll a die twice
2. A bag contains 3 red, 4 blue, and 6 yellow marbles. One Marble is selected at a time, and once a marble is selected, it is replaced, find each probability.
HELPPPPP WILL MARK BRAINLIEST THIS IS DUE AT 1:50!!!!
Match the systems of equations to their solutions.
Answer:Привет! Кто-нибудь читал Криспину крест ведущего? Если да, то может ли кто-нибудь дать мне представление о том, как он изменился в этой истории! Спасибо за ваше время!
:)
Help me please thanks
A plane traveled 1092 miles to Riyadh and back. The trip there was with the wind. It took 6
hours. The trip back was into the wind. The trip back took 7 hours. Find the speed of the plane
in still air and the speed of the wind.
Answer:
Step-by-step explanation:
p and s was are the speeds of the plane and wind, respectively.
Traveling with the wind, the plane moves p+w miles per hour.
p+w = (1092 miles)/(6 hours) = (182 miles)/hour
Traveling against the wind, the plane moves p-w miles per hour.
p-w = (1092 miles)/(7 hours) = (156 miles)/hour
Add the equations together
p+w = 182
p-w = 156
—————-
2p = 338
p = 169 miles per hour
w = p-156 = 13 miles per hour
Find the median and mean of the data set below:
48, 50, 38, 4, 8, 46, 23
Answer:
the median is 38 and the mean is 31
Step-by-step explanation:
Answer:
Mean: 31, Median: 38
Step-by-step explanation:
Mean: 48 + 50 + 38 + 4 + 8 + 46 + 23 = 217 divided by 7 (the amount of numbers) = 31
Median: 4, 8, 23, 38, 46, 48, 50 (The middle number of the numbers in order from least to greatest)
(Please correct me if I'm wrong)
Margo can purchase tile at a store for $0.59 per tile and rent a tile saw for $72. At another store she can
borrow the tile saw for free if she buys tiles there for $1.39 per tile. How many tiles must she buy for the
cost to be the same at both stores?
in a right triangle, if sin(theta)= 8/17, what is tan (theta)?
sin θ = perpendicular/ hypotenuse
tan θ = perpendicular/base
By applying Pythagoras theorem, you get the base as 15
So, your answer is 8/15
Cheryl painted her living room walls with two different colors. She painted part of the room yellow and another part green. If the surface area of the walls in her room is 720 ft2 and she painted 288 ft2 yellow, what percent of the room did she paint green?
Answer:
Total percent of the room did she paint green = 60%
Step-by-step explanation:
Given - Cheryl painted her living room walls with two different colors. She painted part of the room yellow and another part green. If the surface area of the walls in her room is 720 ft² and she painted 288 ft² yellow.
To find - What percent of the room did she paint green ?
Proof -
Given that,
The surface area of the walls in her room = 720 ft²
Total area painted in yellow color = 288 ft²
So,
Total area painted in green color would be = 720 - 288 = 432 ft²
Now,
Let the total percent green color painted = x
So,
720 × x% = 432
⇒[tex]720*\frac{x}{100} = 432[/tex]
⇒ x = [tex]\frac{432*100}{720}[/tex] = 60
∴ we get
Total percent of the room did she paint green = 60%