Answer:
[tex]p_{20} = 1.25528[/tex]
P₀ = 206 and difference d = 6
Step-by-step explanation:
Step(i):-
Given that the arithmetic sequence
206,212,218,224,.....
P₀ = 206 and difference d = 212-206 = 6
The [tex]n^{th}[/tex] term of the sequence
[tex]t_{n} = ar^{n-1}[/tex]
Step(ii):-
The [tex]n^{th}[/tex] term of the sequence
[tex]P_{n} = ar^{n-1}[/tex]
Put n=20
[tex]P_{20} = 206 ( 6) ^{20-1}[/tex]
[tex]p_{20} = 1.25528[/tex]
A solid gold ingot has a volume of 200 cm3 and a mass of 3.9 kg.
What is the density of gold?
Step-by-step explanation:
convert 3.9 kg to grams
3.9×1000=3900 g
density = mass/ volume
= 3900/ 200
=19.5 g/cm3
Hello, I need help with a math question, please tell me if I am right. *Refer to the photo*
As I can tell the tables are right but it would be a function since none of the x's repeat
Consider a population that grows to the recursive rule Pn= Pn-1 + 50,
with initial population Po = 200
(a) Use the recursive formula to find: p1 and p2
(b) Find an explicit formula for the population.
(c) Use the explicit formula to find P60
Answer:
a) P₁ = 250 and P₂ = 300
b) The explicit formula Pₙ = 150+ 50 n
c) [tex]P_{60} = 3150[/tex]
Step-by-step explanation:
Step(i):-
Given that Pₙ = pₙ₋₁ +50 and P₀ = 200
Put n =1
P₁ = P₀+50 = 200+50 = 250
Put n =2
P₂ = P₁+50 = 250+50 = 300
Put n=3
P₃ = P₂+50 = 300+50 = 350
and so on
The sequence 200,250,300,350,..
Step(ii):-
The sequence 200,250,300,350,.. is an arithmetic sequence
The explicit formula
Pₙ = a+(n-1)d
Pₙ = 200+(n-1)50
Pₙ = 200+ 50 n -50
Pₙ = 150+ 50 n
The explicit formula Pₙ = 150+ 50 n
c)
The [tex]n^{th}[/tex] term of the sequence
Pₙ = 150+ 50 n
put n=60
[tex]P_{60} = 150 + 50 (60) = 3150[/tex]
Give 3 values for x that make the inequality true. x < 3
Answer:
2, 1, 0
Step-by-step explanation:
they are less than 3 (Please mark brainliest)
A mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint. To make the same shade of purple paint using 35 teaspoons of blue paint, how much red paint would you need?
12 teaspoons
18 teaspoons
14 teaspoons
26 teaspoons
Answer:
26 teaspoons
Step-by-step explanation:
15+20=35
6+20=26
Please save me :( I am bad at math
Answer:
d. 11050
Step-by-step explanation:
1. you're dividing to see how much one costs, 4420 divided by 4 = 1105
2. multiply by 10, 1105 x 10 = 11050 (add a zero)
Answer:
i dont know the exact answer but i can give you the instuctions on how to do do it.
Step-by-step explanation:
1. Cut 4420 in half (4420 divided by 2). Store that for later. This is two hours.
2. Multiply 4420 by 2 (This will give you 8 hours which, in mathematics, when added with two is ten.)
3. Add the answers you got from 1 and 2 to get your answer.
And there you have it.
Hope this helps!
-Alex
what is the answer of 2 1/12 - 1 3/12?
Answer:
5/6
Step-by-step explanation:
5x - D
X is 87 D is 986
Answer:
894
Step-by-step explanation:
Can some answer and explain thank you! I’ll mark brainliest too❤️❤️
Answer:
B= -1cm negative 1 + dx negative 1 A negative 1
step-by-step explanation:
SIMPLIFYING:
A(bx+c)=d
(bx*a+c*a)=d
SOLVING FOR VARIABLE B :
Move all the terms containing b to the left , all of
Add ' -1cA ' to each side of the equation.
b x a + Ca + -1cA= -1cA+d
COMBINE LIKE TERMS: cA + -1cA=0
b x A to = -1cA + d
b x A = -1cA + d
Divide each side by 'xA'
b=-1cx negative 1 + dx negative 1 A negative 1
hope it is helpful .
Help me pls anyone?
Answer:
m= -2
Step-by-step explanation:
Round the number 0.86431 to 2 decimal places.
Answer:
0.86
Step-by-step explanation:
0.86431 -> 0.86
Answer:
0.86
Step-by-step explanation:
since the number is the third decimal place is lesser than five, the number in the second decimal place remains thee same and will not increase
A rectangular swimming pool is 8 ft deep. One side of the pool is 3.5 times longer than the other. The amount of water needed to fill the swimming pool is 5488 cubic
feet. Find the dimensions of the pool.
Answer:
Dimension of pools are length = 42 ft , width = 12 ft and depth = 8 ft that is 42ft × 12ft × 8 ft
Step-by-step explanation:
given that depth of pool = 8 ft
let say one side of pool that is width = x
so other side of pool that is lenght = 3.5x [ given ]
volume of rectangular swimming pool is same as amount of water required to fill the swimming pool = 4032 cubit ft
Volume of rectangular pool = length × width × depth of swimming pool
⇒ 4032 cubic ft = 3.5x × x × 8
⇒ 4032/(3.5 ×8 ) = x²
⇒x² = 144
⇒x = √144 = 12
⇒3.5x = 12 × 3.5 = 42
hence dimension of pools are length = 42 ft , width = 12 ft and depth = 8 ft that is 42ft × 12ft × 8 ft
Step-by-step explanation:
Plzz complete #’s 1, 3, 5, 7, and 9 first person with all correct answers will get brainliest
try using the app Photomath for numbers 1-3!
Someone help give the answer
What is the value of 6x² when x = 1/3
A local hamburger shop sold a combined total of 575 hamburgers and cheeseburgers on Saturday. There were 75 fewer cheeseburgers sold
than hamburgers. How many hamburgers were sold on Saturday?
Answer:
D.
Step-by-step explanation:
it is right
convert each statement in-if then form.
quadrilateral is a figure with four sides.
Answer:
Step-by-step explanation:
If a quadrilateral is a figure, then it has four sides.
Heidi is building a stone path in her garden. It needs to be 8 feet to 8 1/2 feet long. Drag stones into the box
Answer:
where are the stones
Step-by-step explanation:
Answer:
you have to figure out how big the stones are and add to the box accordingly
Step-by-step explanation:
what is the probability of hitting 2 out of 4 pitches
angle A= ?
HELP HELP HELP
Answer:
A = 41.41
Step-by-step explanation:
Since this is a right angle, we can use trig functions
cos A = adjacent/ hypotenuse
Cos A = 6/8
Taking the inverse cos of each side
cos ^ -1 ( cos A) = cos ^-1 ( 6/8)
A =41.40962211
Rounding to the nearest hundredth
A = 41.41
The probability that you see a butterfly during a nature signature is 80% the probability that you see a turtle is 40% what is the probability of seeing both
Answer:
32%
Step-by-step explanation:
To find the probability of seeing both, multiply the probabilities together:
0.8(0.4)
= 0.32
So, the probability of seeing both is 32%
I need help plz ...........
A town of 3200, grows at a rate of 25% every year. Find the size of the city in 10 years.
The size of the city in 10 years is equal to 29,802.32
Given the following data:
Population = 3200Growth rate = 25% = 0.25Time = 10 years.To calculate the size of the city in 10 years:
In this exercise, you're required to determine the size of this city in the next ten (10) years.
The formula for exponential growth.Mathematically, the exponential growth of a population is given by this formula;
[tex]P = a(1+r)^t[/tex]
Where:
P is the total population.r is the growth rate.t is the time.Substituting the given parameters into the formula, we have;
[tex]P = 3200(1+0.25)^{10}\\\\P = 3200(1.25)^{10}\\\\P = 3200 \times 9.3132[/tex]
P = 29,802.32
Read more on here: https://brainly.com/question/23213182
Triangle ABC is an equilateral triangle. Segment AD measures 18 inches.
Triangle A B C is shown. A perpendicular bisector is drawn from point A to point D on side B C. The length of A D is 18. Line A C cuts side B C into 2 equal parts.
Which statements about the diagram are correct? Check all that apply.
BD = 9 in.
AB = 36 in.
DC = 6 StartRoot 3 EndRoot in.
AC = 12 StartRoot 3 EndRoot in.
BC = 18 StartRoot 3 EndRoot in.
Answer: C, D
Step-by-step explanation:
Answer:
C and D
Step-by-step explanation:
Edge 2021
Write an equation in slope-intercept form for the line that passes through
(–1, –2) and (3, 4).
WILL MARK BRAINLIEST ONLY HAVE 10 MINUTES AND I ADD EXTRA POINTS
Answer:
A
Step-by-step explanation: plz mark brainliest
If you see The abc triangle you can see that triangle DEF is about twice the size of the other triangle so if you would double the size of the small triangle by the same number which was 20 you would do 20 + 20 = 40 and you would multiply 4 x 5 which equals 20 and add 20 + 20 which equals 40 which is the double amount of triangle ABC
Answer:
an extra comment so the other guy gets brainlist:)
Step-by-step explanation:
Mr. Wilson spent $252 to stay 3 nights at pavia. Pavilions. At that rate, how much is he spending per night
statistics professor administered an exam to four different classes and obtained the average grades per
Answer:
where is the given?
Step-by-step explanation:
please give it to comment section and i will answer it
please help will give brainliest
Answer:
The third choice: 0.091
Step-by-step explanation:
There are only 9 cards with numbers that add up to 10:
19, 28, 37, 46, 55, 64, 73, 82, & 91
9/99 = 0.090909 or 0.091
Part B The three remaining sides of ABCD are not purely horizontal or vertical. You will use the Pythagorean Theorem to find the lengths of these sides. Start with AB place point E at (-5, 4), and draw AE and EB. Now you have right AAEB with AB as the hypotenuse. Find EB and AE using the coordinates of A, B, and E. Then use the Pythagorean Theorem to find AB. Show your work.
Answer:
EB = |1 – (− 5)| = 6
AE = |4 – (− 4)| = 8
Using the Pythagorean Theorem to find AB:
AB2 = EB2 + AE2
AB2 = 62 + 82
AB2 = 36 + 64
AB = [tex]\sqrt{100}[/tex]
AB = 10
Step-by-step explanation:
Answer:
AE = |4 + 4| = 8
EB = |1 + 5| = 6
Distance Formula: d = √(x2-x1)2 + (y2-y1)2
AB = √(x2-x1)2 + (y2-y1)2
A = (-5,-4)
B = (1,4)
AB = √(1-(-5))2 + (4-(-4))2
AB = √(6)2 + (8)2
AB = √(6)2 + (8)2
AB = √36 + 64
AB = √100
AB = 10