Answer:
10.33 square units
Step-by-step explanation:
Area of the sector:
∠JKL = Ф= 74°
JK = r = 4
\(\boxed{\text{\bf Area of sector = $ \dfrac{\theta}{360}\pi r^2$}}\)
Ф is the central angle of the sector.
r is the radius
\(\sf Area \ of \ the \ sector = \dfrac{74}{360}*3.14*4*4\)
= 10.33 square units
7515.904 rounded to nearest tenth
Answer:
7515.9
Step-by-step explanation:
Tenth is basically like 1 decimal point.
0-4 round dowm 5-9 round up
This table shows the five most common elements in the earth's crust along with the
percent of the crust that each element composes. About what percent more is
oxygen than silicon?
Answer:
18.88 more percent
Step-by-step explanation:
46.60-27.72 =18.88 meaning, it has 18.88 more percent than silicon
Answer:
Step-by-step explanation:
18.88 more percent
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!
Which of the following sets represents continuous data?
A. {1, 2, 3, ...)
B. (4,7)
C. {5, 13, 16, 20, 30)
D. {..., -9, -6, -3}
Answer:
option A is your answer okk
Normal distribution has a mean of 98 and standard deviation of 6. What is P(x > 104)
The value οf P(x > 104) is 0.1587 οr apprοximately 15.87%.
What is Prοbability?Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.
Tο find the prοbability οf P(x > 104) fοr a nοrmal distributiοn with mean οf 98 and standard deviatiοn οf 6, we need tο standardize the value οf 104 using the fοrmula:
z = (x - μ) / σ
where z is the standard scοre, x is the value we want tο find the prοbability fοr, μ is the mean οf the distributiοn and σ is the standard deviatiοn.
Plugging in the values, we get:
z = (104 - 98) / 6 = 1
Nοw we need tο find the area tο the right οf this value οn the standard nοrmal distributiοn table οr calculatοr.
Using a standard nοrmal distributiοn table οr calculatοr, we find that the area tο the right οf z = 1 is 0.1587.
Learn more about probability on:
https://brainly.com/question/13604758
#SPJ1
What is the smallest positive integer $n$ such that $\sqrt[4]{56 \cdot n}$ is an integer?
The smallest positive integer n such that t \($\sqrt[4]{56 \cdot n}$\) is an integer is 686.
We have to find the smallest positive integer n such that \($\sqrt[4]{56 \cdot n}$\) is an integer
To find the smallest positive integer n such that \($\sqrt[4]{56 \cdot n}$\) is an integer, we need to determine the factors of 56 and find the smallest value of n that, when multiplied by 56, results in a perfect fourth power.
The prime factorization of 56 is:
56 = 2³ × 7
The prime factors of 56 need to be raised to multiples of 4.
Therefore, we need to determine the smallest value of n that includes additional factors of 2 and 7.
To make the expression a perfect fourth power, we need to raise 2 and 7 to the power of 4, which is 2⁴ × 7⁴
The smallest value of n that satisfies this condition is:
n = 2 × 7³ = 2× 343 = 686
To learn more on Integers click:
https://brainly.com/question/490943
#SPJ1
Arrange the functions for which the result is a non-infinite value and the limit exists in ascending order of their limit values as x tends to infinity. Please see picture attached.
Answer:
see attached
Step-by-step explanation:
The limit as x gets large is the ratio of the highest-degree terms. In most cases, the limit can be found by evaluating that ratio. Where an absolute value is involved, the absolute value of the highest-degree term is used.
If the ratio gives x to a positive power, the limit does not exist. If the ratio gives x to a negative power, the limit is zero.
The arrangement of functions according to the given condition
\(m(x)=\frac{4x^{2}-6 }{1-4x^{2} }\)
\(h(x)=\frac{x^{3} -x^{2} +4}{1-3x^{2} }\)
\(k(x)=\frac{5x+1000}{x^{2} }\)
\(i(x)=\frac{x-1}{|1-4x| }\)
\(g(x)=\frac{|4x-1|}{x-4}\)
\(l(x)=\frac{5x^{2} -4}{x^{2} +1}\)
\(f(x)=\frac{x^{2} -1000}{x-5}\)
\(j(x)=\frac{x^{2}-1 }{|7x-1|}\)
What is limit?A limit is the value that a function approaches as the input approaches some value.
According to the given question
\(l(x)=\frac{5x^{2} -4}{x^{2} +1}\)
⇒\(\lim_{nx\to \infty} \frac{5x^{2} -1}{x^{2} +1}\)
⇒\(\lim_{x \to \infty} \frac{x^{2} }{x^{2} } \frac{5-\frac{1}{x^{2} } }{1+\frac{1}{x^{2} } }\)
= 5 (\(\frac{1}{x^{2} } = 0\) ,as x tends to infinity \(\frac{1}{x^{2} }\) tends to 0)
\(i(x)=\frac{x-1}{|1-4x|}\)
⇒\(\lim_{x \to \infty} \frac{x-1}{|1-4x|}\) = \(\lim_{x \to \infty} \frac{x}{x} \frac{1-\frac{1}{x} }{|\frac{-1}{4}+\frac{1}{x} | }\) =\(\frac{1}{\frac{1}{4} }\) =\(\frac{1}{4}\)
As x tends to infinity 1/x tends to 0, and |\(\frac{-1}{4}\)| gives 1/4
\(f(x)= \frac{x^{2} -1000}{x--5}\)
⇒\(\lim_{x \to \infty} \frac{x^{2} -1000}{x-5}\)= \(\lim_{x \to \infty} \frac{x^{2} }{x} \frac{1-\frac{1000}{x^{2} } }{1-\frac{5}{x} }\)= \(\lim_{x \to \infty} x\frac{1-\frac{1000}{x^{2} } }{1-\frac{5}{x} }\) ⇒ limit doesn't exist.
\(m(x)=\frac{4x^{2}-6 }{1-4x^{2} }\)
⇒\(\lim_{x\to \infty} \frac{4x^{2} -6}{1-4x^{2} }\)=\(\lim_{x\to \infty} \frac{x^{2} }{x^{2} } \frac{4-\frac{6}{x^{2} } }{\frac{1}{x^{2} } -4}\) \(= \lim_{n \to \infty} \frac{4}{-4}\) = -1
As x tends to infinity \(\frac{1}{x^{2} }\) tends to 0.
\(g(x)=\frac{|4x-1|}{x-4}\)
⇒\(\lim_{x\to \infty} \frac{|4x-1|}{x-4}\) = \(\lim_{x \to \infty} \frac{|x|}{x} \frac{4-\frac{1}{x} }{1 -\frac{4}{x} } }\) = 4
as x tends to infinity 1/x tends to 0
and |x|=x ⇒\(\frac{|x|}{x}=1\)
\(h(x)=\frac{x^{3}-x^{2} +4 }{1-3x^{3} }\)\(\lim_{x \to \infty} \frac{x^{3} -x^{2} +4}{1-3x^{3} }\)\(= \lim_{x \to \infty} \frac{x^{3} }{x^{3} } \frac{1-\frac{1}{x}+\frac{4}{x^{3} } }{\frac{1}{x^{3} -3} }\) = \(\frac{1}{-3}\) =\(-\frac{1}{3}\)
\(k(x)=\frac{5x+1000}{x^{2} }\)
\(\lim_{x \to \infty} \frac{5x+1000}{x^{2} }\) = \(\lim_{x \to \infty} \frac{x}{x} \frac{5+\frac{1000}{x} }{x}\) =0
As x tends to infinity 1/x tends to 0
\(j(x)= \frac{x^{2}-1 }{|7x-1|}\)
\(\lim_{x \to \infty} \frac{x^{2}-1 }{|7x-1|}\) = \(\lim_{x \to \infty} \frac{x}{|x|}\frac{x-\frac{1}{x} }{|7-\frac{1}{x}| }\) = \(\lim_{x \to \infty} 7x\) = limit doesn't exist.
Learn more about limit here:
https://brainly.in/question/5768142
#SPJ2
Which activity is involved when determining which probability distribution to use to calculate probabilities?
Answer:
Statistics.
Step-by-step explanation:
Statistics is the branch of exact sciences that has the objective of collecting data from reality from taking samples of a specific group of society or a particular situation, thing or event, and comparing the differences between these samples to obtain a general sample of a certain common characteristic.
Thus, statistics seeks through comparison to establish parameters on which the other sciences are based in order to develop theories, relying on the repetition of characteristics common to the groups analyzed.
Select the correct answer from each drop-down menu
-Each participant tastes snack A and snack B and then chooses their favorite. Some participants have eaten snack A before and some have not. The results
of the test are shown in a table. Using the data in a table, the company that makes snack A calculates probabilities related to a random selected person
Prefers Snack A
Prefers Snack B
Total
Has Eaten Snack
A before
144
92
Has Not Eaten
108
228
Snack A before
Total
252
320
Complete the conclusions based on the data in the table.
236
336
572
Given a person who has eaten snack A before, the customer will
Given a person who has not eaten snack A before, the customer will want to eat snack
The probability of the customer wants to take snack B is 144/320 as they have already taken snack A
and the probability of the customer who has not taken snack A before
wants to take snack A =108/252
What is probability?
It is the ratio of favorable outcome to total possible outcome of an event.
How can we determine the probability in this question?based on given data, we calculated the number of customers who has taken snack A before may want to take snack B. The customers have not taken snack A yet may want to snack A.
hence, probability to take snack B = 144/320
probability to take A =108/252
to learn more about probability visit:
https://brainly.com/question/30015100
#SPJ1
a) The probability a person who has eaten snack A before is 59/143.
b) The probability a person who has eaten snack A before is 84/143
What is probability?
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
Given that the total number of people that are taken for the event is 572.
The number of people who have eaten snack A before is 236.
The number of people who have not eaten snack A before is 336.
Probability = The number of outcomes of favorable event/ Total number of outcomes
The probability getting a person who has eaten snack A before is
= 236/ 572
= 59/143 [Divide denominator and numerator by 4]
The probability getting a person who has not eaten snack A before is
= 336/ 572
= 84/143 [Divide denominator and numerator by 4]
To learn more about event, click on below link:
https://brainly.com/question/3813651
#SPJ1
Find the difference of 7 2/3 and 6 3/7
Answer:
Fraction answer (about):
1 1/4
Decimal answer (about):
1.24
Step-by-step explanation:
7 2/3 - 6 3/7 =
1.2380952381
1.2380952381 = about 1.24
The difference between 7 2/3 and 6 3/7 = 1.24
1.24 in fraction form is about 1 1/4
Have a great rest of your day
#TheWizzer
Answer:26/21
Step-by-step explanation:
Enter the number that belongs in the green box
The calculated value of the missing side length of the triangle is 13.96 units
Calculating the missing side length of the triangleFrom the question, we have the following parameters that can be used in our computation:
The triangle
The missing side length of the triangle can be calculated using the law of sines
The law of sines states that
a/sin(A) = b/sin(B) = c/sin(C)
Using the above as a guide, we have the following equation
x/sin(61) = 15/sin(70)
Cross multiply
x = sin(61) * 15/sin(70)
Evaluate
x = 13.96 units
Hence, the missing side length of the triangle is 13.96 units
Read more about law of sines at
https://brainly.com/question/4372174
#SPJ1
ill mark brainlist pllsss help
Answer:
octagon
is the correct answer of this question
it has eight side
hope it helps
Answer:
Octagon
Step-by-step explanation:
A square has 4 sides. 4 more sides means 8 sides. That‘s an octagon.
12 (2 - 12) = -9(1 + 7.x)
Answer:
It depends on which form you are looking for.
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form: x=37/21
Decimal Form: x=1.761904
Mixed Number Form: x=1 16/21
Questions 16. Santhosh and Co. Chennai, opened a branch at Trichy on 1.1.2018. The following Information relate to the branch for the year 2018.
40,000
36,000
9,000
7200
3,600
30,000
16,200
300
3,000
Prepare branch account to find out the profit or loss of branch. Santosh & Co, Chennai opened its branch in Trichy on 1.1.2018. The action for 2018 is as follows
Credit sales at branch
Office expenses by Head office
Cash remittance to branch for petty cash Stock 31.12.2018
Goods sent to Branch
Salaries paid by head office
Debtors 31.12.2018
Petty cash on 31.12.2018
Cash sales at branch
of
The preparation of the branch's income statement for Santosh & Co. Chennai is as follows:
Branch of Santosh & Co. Chennai
Income StatementFor the year ended December 31, 2018
Sales revenue $40,300
Cost of goods sold 4,200
Gross profit $36,100
Expenses:
Office expenses $36,000
Salaries 3,600
Total expenses $39,600
Loss $3,500
What is an income statement?An income statement is a financial statement prepared at the end of an accounting period to determine the profit or loss generated by a business or branch.
The profit or loss is the difference between the total revenue and the total expenses for the accounting period.
Credit sales at branch 40,000
Office expenses by Head office 36,000
Cash remittance to branch for petty cash 9,000
Goods sent to Branch 7,200
Salaries paid by head office 3,600
Debtors 31.12.2018 30,000
Petty cash on 31.12.2018 16,200
Cash sales at branch 300
Stock of 31.12.2018 3,000
Sales revenue $40,300 ($40,000 + $300)
Cost of goods sold $4,200 ($7,200 - $3,000)
Learn more about the income statement at https://brainly.com/question/28936505.
#SPJ1
Given:
p: x – 5 =10
q: 4x + 1 = 61
Which is the inverse of p → q?
If x – 5 ≠ 10, then 4x + 1 ≠ 61.
If 4x + 1 ≠ 61, then x – 5 ≠ 10.
If x – 5 = 10, then 4x + 1 = 61.
If 4x + 1 = 61, then x – 5 = 10.
The inverse of the statement p → q is "If x – 5 ≠ 10 then
4x + 1 ≠ 61"
How to determine the inverse of the statement?The statement is given as
p: x – 5 =10
q: 4x + 1 = 61
The inverse of a statement is such that:
The hypothesis and conclusion are negated.
This means that a conditional statement referred to as p → q would have the inverse of -p → -q.
When the above rule is applied on the statement
p: x – 5 ≠ 10
q: 4x + 1 ≠ 61
This means that the inverse of the statement p → q is "If x – 5 ≠ 10 then
4x + 1 ≠ 61"
Read more about conditional statement at
brainly.com/question/4421013
#SPJ1
Answer:
A
MF up there wont tell u but its A
There are 26 boys and 20 girls in a class.
The boys and the girls have some counters.
The mean number of counters that the boys have is 28.
The mean number of counters that the girls have is 19.
Work out the mean number of counters the 46 children have.
Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.
What is the mean?The mean refers to the average value.
The average is the quotient of the total value divided by the number of items in the data set.
The number of boys in the class = 26
The number of girls in the class = 20
The total number of boys and girls in the class = 46
The mean number of counters that the boys have = 28
The total number of counters that the boys have = 728 (28 x 26)
The mean number of counters that the girls have =19
The total number of counters that the girls have = 380 (19 x 20)
The total number of counters that the class has = 1,108 (728 + 380)
The average or mean number of counters in the class = 24 (1,108 ÷ 46)
Learn more about the average at https://brainly.com/question/130657.
#SPJ1
Pls help I am stuck Tysm
Answer:
16cm
Step-by-step explanation:
perimeter for C is 44cm
perimeter for A and B 60cm
60cm-44cm=16cm
Hope this helps
Choose the pythagorian triplet with the smallest number as 10.
a) 24, 26, 10
b) 10, 6, 8
c) 10, 16, 18
d) 10, 18, 20
Answer:
b
Step-by-step explanation:
pls give brainliest hope helpful
Determine whether each quadrilateral is a parallelogram. Justify your answers.
And
Explain why the quadrilateral with the given vertices is a parallelogram. Use the indicated theorem.
The given quadrilaterals, 1 and 2, are parallelograms because the pair of opposite sides are parallel and the other pairs are congruent.
3. According to Theorem 7.9, quadrilateral ABCD is a parallelogram.
4. According to Theorem 7.12, quadrilateral PQRS is a parallelogram.
What is the proof for the parallelograms?3. Quadrilateral ABCD with vertices A(0,0), B(7,1), C(5,6), D(-2,5), and Theorem 7.9:
Theorem 7.9 states that if the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Using the distance formula, we can calculate the lengths of the sides of quadrilateral ABCD:
AB = √((7 - 0)² + (1 - 0)²) = √50
BC = √((5 - 7)² + (6 - 1)²) = √29
CD = √((-2 - 5)² + (5 - 6)²) =√50
DA = √((0 - (-2))² + (0 - 5)²) = √29
We can see that AB = CD and BC = DA, indicating that the opposite sides are congruent.
Quadrilateral PQRS with vertices P(-2,0), Q(3,1), R(4,4), S(-1,3), and Theorem 7.12:
Theorem 7.12 states that if both pairs of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram.
Using the slope formula, we can calculate the slopes of the sides of quadrilateral PQRS:
Slope of PQ = (1 - 0) / (3 - (-2)) = 1/5
Slope of RS = (4 - 3) / (4 - (-1)) = 1/5
Slope of QR = (4 - 1) / (4 - 3) = 3
Slope of SP = (3 - 0) / (-1 - (-2)) = 3
The lengths of opposite sides can be calculated using the distance formula:
PQ = √((3 - (-2))² + (1 - 0)²) = √(25 + 1) = √26
RS = √((4 - 4)² + (4 - 1)²) = √(9) = 3
QR = √((4 - 3)² + (4 - 1)²) = √(1 + 9) = √10
SP = √((-1 - (-2))² + (3 - 0)²) = √(1 + 9) = √10
We can see that PQ = RS and QR = SP, indicate that the opposite sides are parallel and congruent.
Learn more about parallelograms at: https://brainly.com/question/20526916
#SPJ1
82°
118°
95°
X°
Image not to scale
Calculate the missing angle x.
Answer:
x = 65
Step-by-step explanation:
the sum of the interior angles of a quadrilateral = 360°
sum the angles and equate to 360
x + 95 + 118 + 82 = 360
x + 295 = 360 ( subtract 295 from both sides )
x = 65
720 gallons/day = ______ gallons/hour
Answer:
30
Step-by-step explanation:
just divide 720 by 24 (Hours in a day)
mark as brainliest please.
Jamie is playing a card gameJamie's score changes by - 12 points for 8 turns in a row. What is the total of jamies score? Plz answer fast
Answer:
-96
Step-by-step explanation:
Assuming that the scores start at 0,
-12 x 8 = -96
Total of Jamies score in card game is -96
Given that;
Each turn score = -12
Number of turn = 8
Find:
Total of Jamies score
Computation:
Total of Jamies score = Each turn score × Number of turn
Total of Jamies score = -12 × 8
Total of Jamies score = -96
Learn more:
https://brainly.com/question/21512800?referrer=searchResults
Pythagoras lost 13 pounds from January to June. If Pythagoras gains 1.2 times Euclid’s weight, Pythagoras’s weight would still be pound less than he did in January. What is Euclid’s weight?
(a) Write an equation that represents the scenario. Begin by defining your variable.
(b) Solve the equation. Show your work.
(c) What is Euclid’s weight?
(d) Jake adopts a third dog, Riemann. Riemann weighs exactly twice what Euclid weighs. The combined weight of the three dogs is pounds. What is Riemann’s weight, and what is Pythagoras’s weight? Show your work.
Answer:The weight of Euclid is 10.625 pounds, and the weight of Riemann is 21.25 pounds.
Let the current weight of Euclid = x
Let the current weight of Pythagoras = T
Let the January weight of Pythagoras = y
The expression that represents the given scenario is written as;
when Pythagoras lost 13 pounds: T = y - 13
when Pythagoras gains 1.2 times Euclid's weight: = T + 1.2x
when Pythagoras weight is 1/4 pound less than weight in January:
T + 1.2x + 0.25 = y
y- 13 + 1.2x + 0.25 = y
1.2x - 12.75 = 0
Euclid's weight is calculated as follows;
1.2x = 12.75
The weight of Riemann is calculated as follows;
I dont understand how to do this precalc question
Answer:
x-intercept: (-0.1, 0)Horizontal Asymptote: y = -3Exponential growth(First answer option)
Step-by-step explanation:
General form of an exponential function
\(y=ab^x+c\)
where:
a is the initial value (y-intercept).b is the base (growth/decay factor) in decimal form:Given exponential function:
\(y=4(10)^x-3\)
x-interceptThe x-intercept is the point at which the curve crosses the x-axis, so when y = 0. To find the x-intercept, substitute y = 0 into the given equation and solve for x:
\(\begin{aligned}& \textsf{Set the function to zero}:& 4(10)^x-3 &=0\\\\& \textsf{Add 3 to both sides}:& 4(10)^x &=3\\\\& \textsf{Divide both sides by 4}:& 10^x &=\dfrac{3}{4}\\\\& \textsf{Take natural logs of both sides}:& \ln 10^x &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Apply the power log law}:&x \ln 10 &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Divide both sides by }\ln 10:&x&=\dfrac{\ln\left(\dfrac{3}{4}\right)}{\ln 10} \\\\& \textsf{Simplify}:&x&=-0.1\:\:\sf(1\:d.p.)\end{aligned}\)
Therefore, the x-intercept is (-0.1, 0) to the nearest tenth.
AsymptoteAn asymptote is a line that the curve gets infinitely close to, but never touches.
The parent function of an exponential function is:
\(f(x)=b^x\)
As x approaches -∞ the function f(x) approaches zero, and as x approaches ∞ the function f(x) approaches ∞.
Therefore, there is a horizontal asymptote at y = 0.
This means that a function in the form \(f(x) = ab^x+c\) always has a horizontal asymptote at y = c.
Therefore, the horizontal asymptote of the given function is y = -3.
Exponential Growth and DecayA graph representing exponential growth will have a curve that shows an increase in y as x increases.
A graph representing exponential decay will have a curve that shows a decrease in y as x increases.
The part of an exponential function that shows the growth/decay factor is the base (b).
If b > 1 then it is an increasing function.If 0 < b < 1 then it is a decreasing function.The base of the given function is 10 and so this confirms that the function is increasing since 10 > 1.
Learn more about exponential functions here:
https://brainly.com/question/27466089
https://brainly.com/question/27955470
A circle has a radius of 4 ft.
What is the area of the sector formed by a central angle measuring 270°?
Use 3.14 for pi and round the decimal to the nearest tenth.
42.8 ft²
37.7ft²
12 ft²
9.4 ft²
Cοnsequently, a 270° center angle's sectοr has an area οf 37.7 feet². A: 37.7 feet².
What is circle?A circle is a clοsed, twο-dimensiοnal οbject that can be described as the cοllectiοn οf all pοints in a plane that are equally spaced frοm the circle's center. The diameter οf a circle is equal tο the distance traveling thrοugh its center, while the radius is the distance frοm the center tο any lοcatiοn οn the circle. A circle's area is the rοοm it enclοses, while its circumference is the distance it spans.
given
We must apply the fοllοwing algοrithm tο determine the sectοr's area:
Sectοr area is equal tο (angle at center/360°) * radius * 2
Radius is 4 feet, and the center angle is 270 degrees. By replacing these numbers, we οbtain:
Sectοr area equals (270/360) * * 42.
Sectοr area equals (0.75) * 3.14 * 16
Sectοr size: 37.7 square feet (rοunded tο the nearest tenth)
Cοnsequently, a 270° center angle's sectοr has an area οf 37.7 feet². A: 37.7 feet².
To know more about circle visit:
brainly.com/question/29142813
#SPJ1
y=(x/8+w) solve for w
a certain forest covers 4400 km^2 suppose that each year this area decreases by 7.25% what will the area be after 6 years?
In accordance with the exponential model, the current forest area is equal to 2801.149 square kilometers after six years.
What forest area shall remain after 6 years?
According with statement, the forest area decreases exponentially in time. Then, the exponential model is defined by following model:
n(x) = n' · (1 - r)ˣ
Where:
n' - Initial forest area, in square kilometers.r - Grown rate.x - Time, in years.If we know that n' = 4400 km², r = 0.0725 and x = 6 yr, then the current forest area is:
n(6) = 4400 · (1 - 0.0725)⁶
n(6) = 2801.149
To learn more on exponential functions: https://brainly.com/question/30951187
#SPJ1
if a₁=3 and aₙ=5aₙ-₁ then find the value of a₅
Answer:
The value of a₅ is 1875.
Step-by-step explanation:
Given:
a₁ = 3
aₙ = 5aₙ₋₁
To find the value of a₅, we can apply the recursive formula to compute each term successively:
Step 1: Compute a₂
a₂ = 5a₁ = 5(3) = 15
Step 2: Compute a₃
a₃ = 5a₂ = 5(15) = 75
Step 3: Compute a₄
a₄ = 5a₃ = 5(75) = 375
Step 4: Compute a₅
a₅ = 5a₄ = 5(375) = 1875
use the distributive to simplify: 3{4x - 10}
Which statement BEST describes how to find the distance between -5 and 15?
A) Add -5 and 15.
B) Subtract 15 from -5
C) Subtract 5 from 15.
D) Subtract -5 from 15, then find the absolute value.
Answer:
D) Subtract -5 from 15, then find the absolute value
Step-by-step explanation: