Answer:
324 and 144
Step-by-step explanation:
We require
a₁, a₂, a₃, a₄
where a₂ and a₃ are the required geometric means
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 729 and a₄ = 64, thus
729(r³) = 64 ( divide both sides by 729 )
r³ = [tex]\frac{64}{729}[/tex] ( take the cube root of both sides )
r = [tex]\sqrt[3]{\frac{64}{729} }[/tex] = [tex]\frac{4}{9}[/tex] , then
a₂ = 729 × [tex]\frac{4}{9}[/tex] = 81 × 4 = 324
a₃ = 324 × [tex]\frac{4}{9}[/tex] = 36 × 4 = 144
Thus
729, 324, 144, 64
A taxi service charges you $1.50 plus $0.60 per minute for a trip to the airport. The distance to the airport is 10 miles, and the total charge is $13.50
How many minutes did the ride to the airport take?
Answer:
20 minutes
Step-by-step explanation:
The question can be shown like so, 1.5+0.6x
Since the total charge was 13.5, you can write an equation
13.5=1.5+0.6x
Simplify using property of subtraction
13.5 - 1.5= 1.5 - 1.5 + 0.6x
12 = 0.6x
Simplify using property of division
12/0.6= 0.6x/0.6
x=20
Write 68,127,000,000,000,000 in scientific notation. (x10^
Answer:
6.8127 × 10^16
Step-by-step explanation:
Hope this helps:)
Answer:
6.8127 *10^16
Step-by-step explanation:
Scientific notation is a way to make these numbers easier to work with. In scientific notation, you move the decimal place until you have a number between 1 and 10. Then you add a power of ten that tells how many places you moved the decimal.
What is this slope ?
this fall 126 students participated in the soccer program, while 54 played volleyball. what was the ratio of soccer players to volleyball player?
Answer:
126:54, or
63:27,or
7:3
Step-by-step explanation:
we can see that 126 can be divided by 2, and so can 54, so we reduce to #2,
we can see #2 can be divided by 9, so we get to #3
Charlie's rectangular swimming pool has a volume of 600 cubic feet. The neighbor's
pool has the same length and height, but the width is three times larger. What is the
volume of the neighbor's pool?
A 1200 cu ft
B 1800 cu ft
C 603 cu ft
D 200 cu ft
The density of matter is calculated using the formula p = ", where p is the density in grams per cubic centimeter, m
is the mass in grams, and V is the volume in cubic centimeters. If a sample of 105 grams of silver has a density of 10.5
grams per cubic centimeter, what is the volume of the sample, in cubic centimeters?
0.01
O 0.1
O
1
10
Answer:
Volume = 0.1 cu. cm.Step-by-step explanation:
p = m V
where p = 10.5 grams/cu. cm.
m = 105 grams
plugin values into the equation:
10.5 grams/cu. cm. = 105 grams V
V = 10.5 grams/cu. cm.
105 grams
V = 0.1 cu. cm.
What is -4x<8. I’m a little confused.
Answer:
x > -2
Step-by-step explanation:
what is 5+5= because i have no clue
Answer:
5+5=10
Are you a student of class 1??
WIILL GIVE BRAINLIEST.
Which statement best illustrates using the vertical line test to determine if the graph below is a function of x?
The graph is not a function of x because the line x = 0 intersects the graph at two points.
The graph is a function of x because the line x = 5 does not intersect the graph.
The graph is not a function of x because the line y = 0 intersects the graph at two points.
The graph is a function of x because the line y = 5 does not intersect the graph.
Answer:
C: The graph is not a function of x because the line y = 0 intersects the graph at two points.
Step-by-step explanation:
The line y = 0 will intersect the ellipse at the points, (-4 , 0) , (4 , 0)
An arts academy requires there to be 3 teachers for every 54 students and 6 tutors for
every 60 students. How many students does the academy have per teacher? Per tutor? How many
tutors does the academy need if it has 130 students?
Answer: The academy has 18 students per teacher. The academy has 10 students per tutor. The academy needs 13 tutors for 130 students.
Step-by-step explanation:
54/3=18
60/6=10
130/10=13
Answer:
The academy has 19 students per teacher.
The academy has 12 students per tutor.
The academy needs 12 tutors.
Step-by-step explanation:
Simplify 2(x+3)-2(x-6)
Answer:
18
Step-by-step explanation:
=(2)(x)+(2)(3)+(−2)(x)+(−2)(−6)
=2x+6+−2x+12
Combine Like Terms:
=2x+6+−2x+12
=(2x+−2x)+(6+12)
Answer:
2 (x+3) -2 (x-6) =18
Step-by-step explanation:
2 (x+3)= 2x+6
=2x+6-2 (x-6)
-2 (x-6)= -2x+12
=2x+6-2x+12
=2x-2x+6+12
6+12
=18
Expand (2x + 3)^5 using the Binomial Theorem and Pascal’s triangle. Show all steps.
Answer:
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243
Step-by-step explanation:
(2x + 3)⁵
₅C₀ (2x)⁵ (3)⁰ + ₅C₁ (2x)⁴ (3)¹ + ₅C₂ (2x)³ (3)² + ₅C₃ (2x)² (3)³ + ₅C₄ (2x)¹ (3)⁴ + ₅C₅ (2x)⁰ (3)⁵
Use Pascal's triangle to find nCr.
[tex]\left\begin{array}{c}1\\1\ 1\\1\ 2\ 1\\1\ 3\ 3\ 1\\1\ 4\ 6\ 4\ 1\\1\ 5\ 10\ 10\ 5\ 1\end{array}\right[/tex]
1 (2x)⁵ (3)⁰ + 5 (2x)⁴ (3)¹ + 10 (2x)³ (3)² + 10 (2x)² (3)³ + 5 (2x)¹ (3)⁴ + 1 (2x)⁰ (3)⁵
(2x)⁵ + 15 (2x)⁴ + 90 (2x)³ + 270 (2x)² + 405 (2x)¹ + 243
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243
hiiiiii i need help
Answer:
3 goes with 8 and 5 goes with 2
Step-by-step explanation:
I hope this helps!
help pleassseeeeee nowwwwww
The picture is above. PLEASE HELP.
Answer:
f(4) = -28
Step-by-step explanation:
f(x) = -[tex]x^{2}[/tex] - 6x + 12
f(4) = -[tex]4^{2}[/tex] - 6(4) + 12
f(4) = -16 - 24 + 12
f(4) = -40 + 12
f(4) = -28
The larger of two numbers is equal to three times the smaller.if twice the larger is added to three times the smaller, the sum is 27.Find the anwser
Pls help thank you
Answer:
These numbers are 3 and 9Step-by-step explanation:
x - smaller number
3x - three times the smaller number = the larger number
2×3x - twice the targer number
2×3x+3x - twice the larger is added to three times the smaller
2×3x + 3x = 27
6x + 3x = 27
9x = 27
÷9 ÷9
x = 3
3x = 3×3 = 9
find the line of the equation that passes through (3, -4) and is parallel to 3x + y + 2 = 0
leave your answer in the form of y = mx + c
hi
3x+y +2 = 0 so y = -3x-2
parrallel line has the same slope , so is -3x
then : -3 (3) +c = -4
-9 +c = -4
c = -4 +9
c = 5
so parallel is : y= -3x +5
Through (1,-4) Slope = -8
A. Rewrite the equation of the line in slope intercept form
B. Identify the slope and y intercept
(Show steps )
Answer:
Rewriting the equation in slope intercept form is: Y= -8x+4
Step-by-step explanation:
Im sure there's a faster way to solving this, but I'm just in 8th grade so I'm gonna apply what I know so far.
First of all, we know that our slope is -8... so we have y= -8x so far
From here, to find out y intercept I knew that our slope deals with all the points assigned, therefore we know that from -4 the change would be -8 so we get -12. We can also go the other way. This means that we plus 8 to get positive 4. (Side note: the change in our x value is 1 so we know that our y intercept is always dealing with a 0 in the x position) ex. (0,9) the y intercept would be 9.
To wrap things up, the slope is -8 and the y intercept is 4.
We then get Y= -8x+4
Hope this helps! :)
why is math so hard to me but easy for everyone else what division like 31 / 16 is very hard for me
Jackie worked 7.5 hours yesterday. If she earns $8.05 an hour, how much did she earn yesterday?
Answer:
$56.50
Step-by-step explanation:
I think. Something close to that.
Answer:
Hi there!
Your answer is:
Estimated to 60.38$
Step-by-step explanation:
7.5 hrs yesterday
8.05$ per hour
7.5hrs * 8.05dollars per hour = 60.375$
Estimated to 60.38$
The graph represents the balance on Harrison’s car loan in the months since purchasing the car.
Answer: It’s A
Step-by-step explanation:
Answer:
A,the loan balance decreases $500 per month.
Step-by-step explanation:
find the next terms
I, II, III, IV, V, ___, ___, ___, ___, ___
whats the conjecture?
______________
Find the square root of 38 rounded to 3 decimal places
Answer:
6.1
Step-by-step explanation:
Answer:
6.164? idkr sorry
Step-by-step explanation:
Chantel counted 48 books on 6 shelves in the library. How many books would she expect to count on 12 shelves?
3(4x-7)=27
What does x =?
Please help asap im timed!!!
Answer:
x = 4
Step-by-step explanation:
3 x ( 4x -7 ) = 27
3 x 4x = 12x
3 x -7 = -21
12x -21 = 27
12x -21 + 21 = 27 + 21
12x = 48
12x/12 = 48/12
x = 4
If ΔMTV is reflected across the y-axis, what are the resulting coordinates of point M?
(-2, -5)
(-2, -5)
(5, -2)
(5, -2)
(-2, 5)
(-2, 5)
(-5, 2)
(-5, 2)
The answer is A (-2,5).
HOPE IT HELPS (◕‿◕✿) SMILE!!Two sides of a right triangle measure 2 units and 4 units. What is the area of the square that shares a side with the third side of the triangle?
Answer:
The area of the square is 12 squares unit
Write 1/4x-3/4y=-1 in standard form
work out
need asap
please
Answer:
The Answer Should be x-3y=-4
Step-by-step explanation:
Mr.Afzal bought an article for Rs4400 for 3years at 8 percent what was the interest charge?
pls solve this question iwill mark as brainlist.
[tex]\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]
Here , the given data is :
Principal = Rs 4400 . ( P )Time = 3 years . ( T ) Rate of Internet = 8% . ( R )We can calculate Simple Interest using ,
[tex]\boxed{\purple{\bf Simple\: Interest=\dfrac{P\times\:R\:\times\:T}{100}}}[/tex]
On substituting the respective values ,
⇒ SI = P × R × T / 100.
⇒ SI = Rs 4400 × 8 × 3 / 100 .
⇒ SI = Rs 44 × 8 × 3 .
⇒ SI = Rs 1,056 .
Hence the required Interest is Rs 1,056.
how would i solve (4x 3 + 7y 3z 4) 2 ?
Answer:
=(4x*3+7z*3z*4)*2
=(12x +84z²) *2
ans =24x+168z²
Step-by-step explanation:
ur question is wrong i guess check it plzz