2.
You drop a ball from a height of 1.5 meters. Each curved path has 74% of the height of the previous path. a. Write a rule for the sequence using centimeters. The initial height is given by the term n = 1. b. What height will the ball be at the top of the sixth path?
A. A(n) = 150 • (0.74)^n–1 ; 33.29 cm
B. A(n) = 1.5 • (0.74)^n–1 ; 0.33 cm
C. A(n) = 150 • (74)^n–1 ; 332,850,993,600 cm
D. A(n) = 0.74 • (1.5)^n–1 ; 5.62 cm
Answers
Answer:
A. A(n) = 150 • (0.74)^n–1 ; 33.29 cm
Step-by-step explanation:
This is a geometric sequence.
a%5B1%5D=1.5m=150cm, r=0.74
The formula is
a%5Bn%5D=a%5B1%5Dr%5E%28n-1%29
Just substitute a1 = 150cm and r = 0.74
a%5Bn%5D=150%280.74%29%5E%28n-1%29
That's the rule.
For the second part, substitute n = 6
cm.
Related Questions
PLS I NEED HELP IM STUCKKKKK
Answers
Answer:
D
Step-by-step explanation:
We can cross off a because it is impossible to have negative of a material.
Now lets get into the System of equations. First subtract both of them to have one common variable(we will find the second one later)
- P + N = 134
- P + 3.1N = 241.10
2.1N = 107.1
107.1/2.1 = 51
Now we know that n = 51
lets substitute,
P + 51 = 134
P = 83
Lets check
83 + 51 = 134
Great! The asnwer is D
Answer:
D.
. . . . .. . . . . . .. . .. . . . . . . . ..
How do I solve:
1/6x - 4 =5/6x + 2
Answers
Answer:
The answer is x=-9
Step-by-step explanation:
I hope this helps you!
The ratio of Tom's age to his nephew's age is 3:1 . The difference in their ages is 24 years.How old is Tom now?
Answers
Answer:
the age of toms nephew is 8 years
what's 4 divided by 5/7 as a mixed number in its simplest form
Answers
Answer:
8[tex]\frac{1}{7}[/tex] (in mixed fraction)
Step-by-step explanation:
4 ÷ [tex]\frac{5}{7}[/tex]
can also be written as
[tex]\frac{4}{1}[/tex] ÷ [tex]\frac{5}{7}[/tex]
[tex]\frac{4}{1}[/tex] ×[tex]\frac{7}{7}[/tex] [tex]\frac{5}{7}[/tex] × [tex]\frac{1}{1}[/tex] (to do the denominators same)
[tex]\frac{28}{7}[/tex] ÷ [tex]\frac{5}{7}[/tex]
= [tex]\frac{28/5}{7}[/tex]
= [tex]\frac{5.6}{7}[/tex]
= [tex]\frac{5.6}{7}[/tex] × [tex]\frac{10}{10}[/tex] (to remove the decimal point)
= [tex]\frac{56}{7}[/tex]
= 8[tex]\frac{1}{7}[/tex] (in mixed fraction)
40 x 3 x 100 ? What is the product
Answers
Answer:
12,000
Step-by-step explanation:
40*3 = 120
120*100 = 12,000
What is the solution to this equation?
5x + 9 - 3x = 18 + 15
A. x = 8
B. x = 21
C. x = 3
D. x = 12
ANSWER: D (x = 12)
Answers
Answer:
x = 12
Step-by-step explanation:
5x + 9 - 3x = 18 + 15
2x + 9 = 33
2x (+ 9 - 9) = 33 - 9
2x/2 = 24/2
x = 12
[tex] \huge\boxed{\mathfrak{Question} \downarrow}[/tex]
What is the solution to this equation?
5x + 9 - 3x = 18 + 15[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \sf5 x + 9 - 3 x = 18 + 15[/tex]
Combine 5x and -3x to get 2x.
[tex] \sf2x+9=18+15 [/tex]
Add 18 and 15 to get 33.
[tex] \sf2x+9=33 [/tex]
Subtract 9 from both sides.
[tex] \sf2x=33-9 [/tex]
Subtract 9 from 33 to get 24.
[tex] \sf2x=24 [/tex]
Divide both sides by 2.
[tex] \sf \: x=\frac{24}{2} \\ [/tex]
Divide 24 by 2 to get 12.
[tex] \boxed{ \boxed{ \bf \: x=12 }}[/tex]
The value of x is 12. Yes, the option you clicked is correct. D. x = 12 (✓)Simplify the expression and write the result in standard form, a+bi
3 √-25 =
Answers
Answer:
[tex]3 + \sqrt{ - 25} = 3 + \sqrt{25} i\\ = 3 + 5i \\or \: \\ 3 \sqrt{ - 25} \\ = 3 \times 5i = 15i \\ thank \: you \\ [/tex]
A car travelling at 30 km/h takes 6/5 hours to travel a certain distance. How many minutes less will the car take to cover the same distance if its speed is now 45 km/h?
Answers
[tex] \large \mathfrak{Solution : }[/tex]
Time taken when traveling at 30 km/h :
[tex] \dfrac{6}{5} \: \: hr[/tex][tex] \dfrac{6}{5} \times 60 \: min[/tex][tex]6 \times 12 \: min[/tex][tex]72 \: min[/tex]Distance travelled :
[tex]30 \times \dfrac{6}{5} [/tex][tex]6 \times 6[/tex][tex]36 \: km[/tex]now, if the speed is 44 km/h it will take :
[tex] \dfrac{36}{45} \: \: hr[/tex][tex] \dfrac{4}{5} \times 60 \: min[/tex][tex]48 \: min[/tex]The car will take 72 - 48 = 24 less minutes to cover same distance at an speed of 45 km/h .
What is the equation of the line that passes through the point (3, 2) and has a slope
of-K?
Answers
Answer:
[tex]y=\displaystyle -\frac{5}{3}x+7[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept
We're given that the slope is [tex]\displaystyle -\frac{5}{3}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\displaystyle -\frac{5}{3}x+b[/tex]
Now, to solve for the y-intercept, plug in the point (3,2) and solve for b:
[tex]2=\displaystyle -\frac{5}{3}(3)+b\\\\2=-5+b\\b=7[/tex]
Therefore, the y-intercept of the line is 7. Plug this back into [tex]y=\displaystyle -\frac{5}{3}x+b[/tex]:
[tex]y=\displaystyle -\frac{5}{3}x+7[/tex]
I hope this helps!
need help on precalculus
Answers
Answer:
arc = 15π
Step-by-step explanation:
The arc is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{225}{360}[/tex] ( r is the radius )
given diameter = 24 then r = 24 ÷ 2 = 12
arc = 2π × 12 × [tex]\frac{5}{8}[/tex]
= 24π × [tex]\frac{5}{8}[/tex]
= 3π × 5
= 15π
Josie left an $8.00 tip at the restaurant. How much was her total bill , is the tip was 20% of the total?
A $32
B $40
C $48
D $64
Answers
Answer:
c $48
Step-by-step explanation:
8 x 5 is 40 which is the price of the meal then plus the tip its 48
Which fraction is more than 1/2?
O 7/12
05/12
0 5/10
O 3/7
Answers
If you consider the each denominator, for the fraction to be greater than 1/2, then the numerator needs to be greater than 1/2 the denominator.
For example, with “something”/12: 6 is 1/2 of 12, so 6/12 is the same as 1/2. For a fraction of “something” / 12 to be greater than 1/2, the numerator needs to be greater than 6.
7/12 is.
With 5/12, 5 < 6, so 5/12 < 6/12, so 5/12 < 1/2.
With 5/10, half of 10 is 5, so 5/10 = 1/2
With 3/7, half of 7 is 3.5, so 3.5/7 is 1/2. Since 3<3.5, 3/7 < 1/2.
0.4(5x-15)=2.5(x+3) what is the value of x?
Answers
[tex]0,4(5x-15)=2,5(x+3)\\\\2x-6=2,5x+7,5\\\\2x-2,5x=7,5+6\\\\-0,5x=13,5 \ \ /\cdot(-2)\\\\\huge\boxed{x=-27}[/tex]
Answer:
Answer:
x=−27
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
0.4(5x−15)=2.5(x+3)
(0.4)(5x)+(0.4)(−15)=(2.5)(x)+(2.5)(3)(Distribute)
2x+−6=2.5x+7.5
2x−6=2.5x+7.5
Step 2: Subtract 2.5x from both sides.
2x−6−2.5x=2.5x+7.5−2.5x
−0.5x−6=7.5
Step 3: Add 6 to both sides.
−0.5x−6+6=7.5+6
−0.5x=13.5
Step 4: Divide both sides by -0.5.
−0.5x
−0.5
=
13.5
−0.5
x=−27
Answer:
x=−27
Donovan is measuring the angles of a triangle. He uses the first two angles and gets 10° and 120° what should be the measurement of the third angle
Answers
Answer:
50°
Step-by-step explanation:
The sum of a triangles' angles is 180°
Now set up an equation:
180 - (10 + 120) = ___
180 - 130 = 50°
−3,12,27, what is the answer
Answers
Answer:
The next term is 42
Step-by-step explanation:
Let's use Arithmetic Progression
a₁ = - 3
a₂ = 12
a₃ = 27
Now,
The Formula of Common Difference d is
d = a₂ - a₁
= 12 - (-3)
= 12 + 3
d = 15
d = a₃ - a₂
= 27 - 12
d = 15
Here, the common difference is same
aₙ = aₙ₋₁ + d
a₄ = a₄₋₁ + 15
a₄ = a₃ + 15
a₄ = 27 + 15
a₄ = 42
So, The next term is 42
-TheUnknownScientist
one third of the sum of a number and four
Answers
Answer:
[tex]\frac{1}{3} (n+4)[/tex]
That is what the expression would be
plzz help. what's the distance between 4.1 and -5.2 on a number line
Answers
Answer:
4.1 + 5.2 = 9.3
distance can never be negative
Step-by-step explanation:
7. Paula reduced the size of a rectangle to a height of 2 inches.
What is the new width if it was originally 24 inches wide and 12
inches toll?
& Simplify the expression, if possible. If not possible
in
Answers
Answer: if the width was not effected then the width is still 24 inches
if the area stayed the same, then
find area
area=legnth times width
288=12 times 24
so the new height./legnth =2
288=2 times width
divide by 2
144=width'
the new width =144
Write an absolute value equation that has the solutions x= -10 and x = -5
Answers
Answer:
∣x + 7.5∣ = 2.5
Step-by-step explanation:
∣x + 7.5∣ = 2.5
x + 7.5 = -2.5 OR x + 7.5 = 2.5
-7.5 -7.5 -7.5 -7.5
-------------------- ----------------------
x = -10 x = -5
As you can see, the equation ∣x + 7.5∣ = 2.5, satisfies both of the x values, x=-10 and x=-5.
The absolute value equation that has solutions x= -10 and x = -5 is | x + 7.5 | = 2.5.
What is an absolute function ?Absolute value function is always positive |x| = a implies x = a Or - x = - a
According to the given question we have to write a equation we have to write an absolute value equation that has solution x = -10 and x = - 5.
Let the absolute value be ∣x + 7.5∣ = 2.5.
∴ x + 7.5 = 2.5 OR - ( x + 7.5 ) = 2.5
x + 7.5 = 2.5
x = 2.5 - 7.5
x = - 5.
OR
- ( x + 7.5 ) = 2.5
- x - 7.5 = 2.5
- x = 2.5 + 7.5
- x = 10
x = - 10.
learn more about absolute value here :
https://brainly.com/question/1301718
#SPJ2
Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify
The cube of the difference of a number and 4.
Answers
Answer:
The difference of a number and 4:
x - 4The cube of the difference:
(x - 4)³Leaving this as is since no simplification is required.
Step-by-step explanation:
[tex]here \: number = x \\ difrence \: of \: number \: and \: 4 \\then \: its \: x - 4 \\ cube \: of \: this = {(x - 4)}^{3} \\ thank \: you[/tex]
Determine which of the following are functions. Select all that apply,
X
{(-4,2), (-2, 1), (1,3)
(-1,4), (0,5), (2,5)}
y 4.45X 9
-6
y
17
13
13
-2
D
Sicco
9
2.
6
oo
5
3
10
1
4
7
Intro
Done
Answers
Answer:
Try incerting a picture it might help me
Step-by-step explanation:
Answer:
a and d
Step-by-step explanation:
got it right.
Plz Help (ASAP) Thanks
Answers
Answer:
x^4 - 3x^2 + x^2 - 4
Step-by-step explanation:
hope it helps
Store employees are handing out coupons. Every 5th customer gets a free bagel coupon. Every 9th customer gets a free drink coupon. Which customer is the first to receive both coupons? the 30th customer the 45th customer the 60th customer the 90th customer
Answers
Step-by-step explanation:
hope you will understand ( ´ ▽ ` )ﾉ
Answer:
its 45 bc i searched up the answer and chose the other persons response and turns out its 45 not 60th
Step-by-step explanation:
Round 249798.828806 to the nearest ten.
Answers
The nearest ten
Answer: the answer is like it is
Step-by-step explanation:
You just round the number in the tenths 0 is closer to 0 then to 10!
Which expression fits the description
Answers
Can't see full image
Answer:
28:12
Step-by-step explanation:
When we take 7 and 3 and multiply them both by 4 we get 28 and 12.
hope this helps!
Please help me fast this question
Answers
Answer:
64÷16+[12x{16÷(16-10)}]
64÷16+[12x{16÷6}]
64÷16+[12x2.66666666667]
64÷16+32
4+32
36
Can someone plz help me I beg you :((
Answers
Answer:
all of them
Step-by-step explanation:
Three times a number w is less than 18. how would u type thi s
Answers
Solve - w < 6
Leyla rides her bike 81 miles each week. How many miles does she ride in 11 weeks
Answers
Answer:
891 miles
Step-by-step explanation:
You can either multply 81*11 or add 81 to itself 11 times
1 week: 81 miles
2 weeks: 81+81=162 miles
3 weeks: 162+81=243 miles
4 weeks: 243+81=324 miles
5 weeks: 324+81=405 miles
6 weeks: 405+81=486 miles
7 weeks: 486+81=567 miles
8 weeks: 567+81=648 miles
9 weeks: 648+81=729 miles
10 weeks: 729+81=810 miles
11 weeks: 810+81=891 miles
Evaluate x2 – 4x – 5, when x = -4
Answers
Answer:
3
Step-by-step explanation:
-8+16-5
Answer:
13Step-by-step explanation:
x2 - 4x - 5
4×2 - 4×4 - 5
8 - 16 - 5
8 - 21 = - 13
