Answers
Answer:
[tex]a_5 = 120[/tex]
Step-by-step explanation:
Given
[tex]a_1 = 1[/tex]
[tex]a_n = n(a_{n-1})[/tex]
Required
[tex]a_5[/tex]
This is calculated as:
[tex]a_5 = 5(a_{5-1})[/tex]
[tex]a_5 = 5*a_4[/tex]
Calculate [tex]a_4[/tex]
[tex]a_4 =4(a_{4-1})[/tex]
[tex]a_4 =4*a_3[/tex]
Calculate [tex]a_3[/tex]
[tex]a_3 =3*a_2[/tex]
Calculate [tex]a_2[/tex]
[tex]a_2 = 2 * a_1[/tex]
[tex]a_2 = 2 * 1[/tex]
[tex]a_2 = 2[/tex]
So:
[tex]a_3 =3*a_2[/tex]
[tex]a_3 = 3 * 2 = 6[/tex]
So:
[tex]a_4 =4*a_3[/tex]
[tex]a_4 = 4 * 6 =24[/tex]
Lastly;
[tex]a_5 = 5*a_4[/tex]
[tex]a_5 = 5 * 24[/tex]
[tex]a_5 = 120[/tex]
Related Questions
22. A trapezoid has an area of 24 square units. The height is 3 units and the length of one of the bases is 5 units. Find the length of the other base.
Answers
Answer:
Step-by-step explanation:
A trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula looks like this:
area_trapezoid1.gif or area_trapezoid2.gif
Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height and · means multiply.
Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.
In Examples 1 and 3 below, the height is a side of the trapezoid since it is perpendicular to the base. In Example 2, the lateral sides are not perpendicular to the base, so a dotted line is drawn to represent the height.
what is the degree of the polynomial x² - 5x + 2
Answers
Answer
2
Step-by-step explanation:
x^2-5x+2,
the greatest exponent seen in the polynomial is two (x squared), so the degree of this polynomial is 2 because of the number two x^2 -5x+2
What is the value of x? 63, 42, 50
Answers
Answer:
Step-by-step explanation:
The storage space in a moving truck is shaped like a rectangular prism. It has a total volume of 16 cubic meters. The height and width are both 2 meters less than the depth. What are the dimensions of the storage space?
Answers
Answer:
The dimensions are four by two by two meters.
Step-by-step explanation:
The volume for a rectangular prism is given by:
[tex]V=\ell wh[/tex]
Where l is the length (or depth), w is the width, and h is the height.
Since the height and width are both two meters less than the depth, we can write that:
[tex]h=\ell -2\text{ and } w = \ell -2[/tex]
We are also given that the total volume is 16 cubic meters. Substitute:
[tex]16=\ell(\ell -2)(\ell -2)[/tex]
Expand:
[tex]16=\ell(\ell^2 -4\ell +4)[/tex]
Distribute:
[tex]16=\ell ^3-4\ell ^2+4\ell[/tex]
Isolate the equation. So:
[tex]\ell ^3-4\ell ^2+4\ell -16=0[/tex]
We can factor by grouping. From the first two terms, factor out a l² and from the last two terms, factor out a 4:
[tex]\ell ^2(\ell -4)+4(\ell -4)=0[/tex]
Factor:
[tex](\ell ^2+4)(\ell -4)=0[/tex]
Zero Product Property:
[tex]\ell ^2+4=0\text{ or } \ell - 4=0[/tex]
Solve for each case:
[tex]\ell^2=-4\text{ or } \ell =4[/tex]
Since we cannot take the square root of a negative number, we can ignore the first case.
Therefore, the length (or depth) of the storage space is four meters.
Thus, the dimensions are four by two by two meters.
Mr.flood records that 48% of his class do their homework on time. What decimal represents the percent of students who hand it late
Answers
Answer:
0.52
Step-by-step explanation:
100% - 48% = 52%
[tex]\frac{52}{100}[/tex]
0.52
In the figure, KP = 50, KQ = 45, PQ = 38. What is RQ?
Answers
Answer:
18
Step-by-step explanation:
Find the diagram attached
From the diagram
PR + RQ = PQ
PR + RQ = 38
PR = 38 - RQ
using similar triangle;
KQ/RQ = KP/PR
45/RQ = 50/38-RQ
Cross multiply
50RQ = 45(38-RQ)
50RQ = 1710 - 45RQ
50RQ + 45RQ = 1710
95RQ = 1710
RQ = 1710/95
RQ = 18
Hence the length of RQ is 18
(8,9); x+3y=2 in y=mx+b form
Answers
Answer:
use photo math. it will help
please answer both thank
Answers
Answer:
the second one for #4 and the third one for #5
Step-by-step explanation:
4. The sum of x and y is 24, so x+y = 24. The difference is 15, so x-y = 15, or
y-x=15 (they didn't specify which was which). Therefore, A, C, and D are correct, so x = 15-y is the answer (x = 15-y is the same as x+y = 15, which is false).
5.
Matt = 6 apple pies + 4 lemon pies and he got 80 dollars.
Ming = 6 apple pies + 5 lemon pies and he got 94 dollars.
If apple pie is "a" and lemon is "l":
6a + 4l = 80
6a + 5l = 94,
so C is the answer
3x + 2y = 4 and -2x + 2y = 24? *
Answers
Answer:
x=28
y=v7vub8b9nf7v6v
Which of the following is the quotient of the rational expressions shown
below? Make sure your answer is in reduced form.
Answers
Answer:
The answer e i think
Step-by-step explanation:
Find the value of x and the value of y.
Answers
Answer:
[tex]x=7,\\y=4\sqrt{2}[/tex]
Step-by-step explanation:
Draw an auxiliary line in the trapezoid forming a triangle and a rectangle. The dimensions of the rectangle are 3 x 4, so the length of the auxiliary line must be 4.
The auxiliary line also creates a 45-45-90 triangle. The auxiliary line itself makes up one leg of the triangle, and since we know it is 4, we can use the Pythagorean Theorem to find y:
[tex]4^2+4^2=y^2,\\y^2=32,\\y=\sqrt{32}=\boxed{4\sqrt{2}}[/tex]
The length of x can be found by adding the bottom leg of the 45-45-90 triangle and the bottom dimension of the rectangle:
[tex]x=4+3=\boxed{7}[/tex]
Part A (1 point)
Determine the area, in square feet, of one triangular
face of the square pyramid. Show your work or
explain your answer.
Part B (1 point)
Determine the total surface area, in square feet, of the
square pyramid. Show your work or explain your
answer
Answers
Answer:
A. 320 ft²
B. 2,304 ft²
Step-by-step explanation:
A. Area of one triangular face = area of triangle = ½*b*h
Where,
b = 32 ft
h = 20 ft
A = ½*32*20 = 16*20
A = 320 ft²
Area of 1 triangular face = 320 ft²
B. Total surface area = area of the 4 triangular face + area of the base of the square pyramid
T.S.A = 4(320) + (s²)
Where,
s = 32 ft
T.S.A = 4(320) + (32²)
T.S.A = 1,280 + 1,024
= 2,304 ft²
HELP I will give brainliest I am begging you only a few questions
Answers
Answer:
Graph A: (0,10) Graph B: (0,20)
Graph A: Height (feet) Graph B: Hight (feet)
Graph A: 138 Graph B: 120
Graph A: 32.6 Graph B: 43
Step-by-step explanation:
The smaller text was really blurry but I tried my best. Hope this helps!
Answer:
Step-by-step explanation:
I just pointed the answers, but quality of picture is poor: it's impossible to indicate the numbers on y-axis, and tell exact number on x-axis.
The exprnditure of 15 days of a man is as follows. calculate this average expenditure. 30,25,35,24,40,35,30,25,
24,25,40,35,30,25,35. Solve with answer for class Nine
Answers
Answer:
$30.53
Step-by-step explanation:
Find total sum
30+25+35=90
90+24=114
114+40=154
154+35=189
…
You will get 458
458/15=30.53333
15r kg of auger was distributed equally among 5 people. how much auger did each person get? Give your answer in terms of r.
Answers
Answer:
below
Step-by-step explanation:
15r kg therefore it would be 15r/5people
3r kg for each person
Question 4
1 pts
An initial population of 910 quail increases at an annual rate of 20%. Write an exponential function to model the quail
population.
Answers
Answer:
910*(1.2)^t
Step-by-step explanation:
Given data
Initial population= 910 quail
Rate= 20%
Let us use the model below
A= P(1+r)^t
r= 0.2
A= 910(1+0.2)^t
A= 910*(1.2)^t
Hence the expression to model the population is 910*(1.2)^t
An initial population of 910 quail increases at an annual rate of 20%.
So,
910*(1.2)^t
Step-by-step explanation:
Given data
Initial population= 910 quail
Rate= 20%
Let us use the model below
A= P(1+r)^t
r= 0.2
A= 910(1+0.2)^t
A= 910*(1.2)^t
Hence the expression to model the population is 910*(1.2)^t.
What is the exponential function?An exponential function is a mathematical function of the following form: f ( x ) = an x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e, which is equal to approximately 2.71828.
Learn more about exponential function at
https://brainly.com/question/2456547
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To mix a pastel orange paint, 5ml of yellow pigment and 3 ml of red pigment are added to 1litre of white paint. How much yellow pigment and red pigment are added to 6litre of white paint to reproduce the same colour
Answers
Answer:
30ml of yellow
18ml of red
Step-by-step explanation:
5x6=30
3×6=18
Answer:
Step-by-step explanation:
a color
HELP! POTATOooooooooooooooooooooooo plz
Answers
Answer:
Step-by-step explanation:
i cant see the answer
Tom drank 5 cups of coffee. How many pints of coffee did he drink?
A. 4.5
B. 3.5
C. 2.5
D. 1.5
Answers
Answer:
B .3.5 points of coffee did he drink
hope it helps
A cup is 8 ounces, a pint is 16 ounces…so a cup = 1/2 pint. 5 cups = 5 half-pints…5 half-pints = 2-1/2 pints
I WILL GIVE YOU BRAINLYEST if you answer
PLSS HELP I suck at math its easy
Answers
Answer:
I think the answer is would be C
Answer:
A. Neil did not make a mistake.
Step-by-step explanation:
Everything looks fine in this problem.
5+p=10 what does p equal
Answers
Answer:
p=5
Step-by-step explanation:
5+p=10
Hence, p=10-5
=5
Answer:
5
Step-by-step explanation:
1. Move the constant to the right- hand side and change its sign.
p=10-5
2. Subtract the numbers
p=10-5
the answer is 5
im in need of help for this problem (listing BRAINLIST and giving points) :)
Answers
I hope this is help full to you
Tan x=d/f
Cos x = f/e
Hope it helps!
Un frutero ha comprado 165kg de manzanas a 2 € el kilo; se le han estropeado 15 kg y el resto los
vende a 4 € el kilo. ¿ Cuánto ha ganado?
Answers
Step-by-step explanation:
165kg=330$
150*4=600$
600-330=270
espero te ayude :D
A statistics student is studying if there is a relationship between the price of a used car and the number of miles it has been driven. She collects data for 20 cars of the same model with different mileage, and determines each car’s price using a used car website. The analysis is given in the computer output.
Predictor Coef SE Coef t-ratio p
Constant 24157.2 2164.1 2.965 0.046
Mileage -0.181 0.024 5.377 0.000
S = 3860.7 R-Sq = 68.0% R-Sq(Adj) = 67.5%
Using the computer output, what is the equation of the least-squares regression line?
ŷ = –0.181 + 24157.2x
ŷ = 24157.2 – 0.181x
ŷ = 2164.1 + 0.024x
ŷ = 0.024 + 2164.1x
Answers
========================================================
Explanation:
Simply look at the "coef" column to find the values you need. The constant is the term that isn't attached to the variable. The mileage coefficient is basically the slope.
You can think of it like
price = constant + (mileage coefficient)*(mileage)
The mileage coefficient being negative tells us we have negative correlation going on here. As x increases, y decreases. This makes sense because the car's value is expected to go down the more mileage is added on it.
PLEASE HELP!
A 95% confidence interval is found to be (28, 32). The sample standard deviation is 7, and the sample size is 49. If you wanted a smaller interval, what could you do? A. Decrease the sample size to 36. B. Increase the standard deviation to 10. C. Increase the confidence level to 99.7%. O D. Increase the sample size to 64. SUBMIT
Answers
Using the formula for the margin of error, it is found that a smaller confidence interval would be obtained as follow:
D. Increase the sample size to 64.
What is the margin of error of a confidence interval?It is given by the following formula:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which:
z is the critical value(direct proportional with the confidence level).s is the standard deviation.n is the sample size.For a smaller interval, we need to decrease the margin of error, which is possible increasing the sample size, hence option D is correct.
More can be learned about margin of error at https://brainly.com/question/25779324
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how do I
graph y+2= - 5/7 (x+6)
Answers
What’s the ratio of 20 to 6
Answers
Answer:
333..%
Step-by-step explanation:
hope this helps
Gary has four times as many points as Frank. Evan has five times as many as Frank. Dave is two times as many as Frank. altogether they have a total of 1,260 points
Answers
Answer:
the answer to this would be 114 i think sorry is im wrong
Step-by-step explanation:
ACTIVITY
Jump to level 1
Complete the equation involving x. Order terms like the physical situation, and
simplify.
A 4 foot wide painting should be centered on a 12 foot wide wall. How many
feet (x) should be on each side of the painting?
Answers
Answer:
4 feet of wall should be on each side of the painting.
Step-by-step explanation:
Given that a 4 foot wide painting should be centered on a 12 foot wide wall, to determine how many feet (X) should be on each side of the painting, the following equation must be solved:
(Total wide of the wall - wide of the painting) / 2 = X
(12 - 4) / 2 = X
8/2 = X
4 = X
Therefore, 4 feet of wall should be on each side of the painting.
Find the slope in each line