Answers
9514 1404 393
Answer:
26,244
Step-by-step explanation:
The sequence is geometric with a common ratio of -3. The general term is ...
an = (a1)r^(n-1)
The first term is 4, so we have ...
an = 4·(-3)^(n-1)
For n=9, we find the 9th term to be ...
a9 = 4·(-3)^(9-1) = 4·3^8
a9 = 26,244
_____
Additional comment
When -3 is raised to an even power, the sign of the product is positive, the same as 3 raised to that power.
Related Questions
A cylinder has a radius of 20 meters. It’s volume is 13,816 cubic meters. What is the height of the cylinder
Answers
Answer:
H ≈ 10.994424 m ≈ 11 mStep-by-step explanation:
[tex]V=\pi R^2\cdot H\\\\V=13\,816\ m^3\\R=20\,m\\H=??\\\\13\,816=\pi\cdot20^2\cdot H\\\\13\,816=400\pi H\\\\13\,816\approx1256.637 H\\\\H\approx10.994424\,m[/tex]
Please help due tonight
Tom buys 3 burgers and 5 drinks for $34. Jane buys 2 burgers and 6 drinks for $36. How much is each burger and each drink?
Answers
3b+5d=34
2b+6d=36
This is a simultaneous equation
Times top equation by two and bottom by 3
6b+10d=68
6b+18d=108
Subtract bottom equation by top one
-8d=-40
d=5
substitute this into an equation
3b+25=34
-25 from both sides
3b=9
b=3
drink is $5 burger is $3
Please help.. Answer number 34 and 35. For number 34 find the measures of the numbered angles in each isosceles trapezoid. For number 35 find the measures of the numbered angles in each kite.
Answers
Answer:
33. m∠1 = 135°, ∠3 = 45°, ∠2 = 135°
34. m∠1 = 80°, m∠2 = 100°, m∠3 = 100°
35. m∠1 = 90°, m∠2 = 25°
Step-by-step explanation:
33. The given parameters of the isosceles trapezoid are;
The measure of one of the base angles = 45°
For an isosceles trapezoid, the base angles are equal, therefore, we have;
The measure of the other base angle = m∠3 = 45°
Similarly, m∠1 = m∠2
Also, we have;
The sum of the interior angles in a trapezoid = The sum of the interior angles in a quadrilateral = 360°
∴ 45° + m∠3 + m∠1 + m∠2 = 360°
By substituting the known values, we have;
45° + 45° + m∠1 + m∠2 = 360°
From m∠1 = m∠2, we have;
45° + 45° + m∠1 + m∠1 = 90° + 2·m∠1 = 360°
2·m∠1 = 360° - 90° = 270°
∴ m∠1 = 270°/2 = 135°
m∠1 = 135° = m∠2
Therefore, we have;
∠3 = 45°, ∠1 = 135°, ∠2 = 135°
34. The measure of the base angles = 80°
∴ The measure of the other base angle = m∠1 = 80°
m∠2 = m∠3
80° + m∠1 + m∠2 + m∠3 = 360°
∴ 80° + 80° + 2·m∠2 = 360°
m∠2 = (360° - (80° + 80°))/2 = 100°
m∠2 = 100° = m∠3
35. The kite comprises of two half isosceles triangles
The base angles of the right half isosceles triangle = 65°
The angle formed by the diagonals of the kite = 90° (Perpendicular diagonals theorem)
Therefore, m∠1 = 90°
The diagonals bisect the angles at the vertices (Kite theorem)
Therefore, we have;
65° + 90° + m∠2 = 180°
m∠2 = 180° - (65° + 90°) = 25°
m∠2 = 25°.
Determine whether ABCD is a parallelogram if AB = 6, BC = 12, CD = 6, and DA = 12. Justify your answer
A/ Yes; Opposite sides are congruent to each other.
B/ Yes; Opposite sides are parallel to each other.
C/ Yes; Opposite angles are congruent to each other.
D/ No
Answers
In Las Vegas, Nevada, stores charge a 4.6% state sales tax and a 3.65% county sales tax. Yuki is purchasing a handbag priced at $220 before tax.
How much sales tax does Yuki pay for her handbag purchase?
Answers
Answer:
$18.15
Step-by-step explanation:
Yuki is paying tax of 4.6% + 3.65% = 8.25%
Converting to decimal form, that is 8.25/100 = 0.0825
Multiply that by the original sale price. 0.0825 x $220 = $18.15 exactly for tax.
The question asks for the tax, NOT for the total she will pay. Please don't get them mixed up.
With word problems, alwasy double check that you are answering what is actually asked. :)
James wants to buy a house.
The price of the house is a quarter of a million pounds.
James has to pay a deposit for the house.
The deposit is 15% of the price of the house.
James already has part of the deposit.
He has £32 000
(a) How much more money does James need for the deposit?
Answers
Answer:
27,200
Step-by-step explanation:
15% of 32,000 pounds is 4,800. Just subtracting them will end you with 27,200.
Will be the answer for this question
The perimeter of triangle ABC is 96. Find the value of x. 4x + 1 2x 3x + 2 perimeter of ABC = 96
Answers
Answer:
4.5is answer
Step-by-step explanation:
perimeter of ABC = 96
4x + 1 2x 3x + 2=96
21x=96
x=96/21=4.5
At a zoo, the price of 4 adult tickets and 6 child tickets is $77.The price of 6 adult tickets and 4 child tickets is $83. What is the ticket price for one adult and for one child?
Answers
Answer:
the cost of 1 child ticket is $6.5 and the cost of 1 adult ticket is $9.5
Step-by-step explanation:
Given that:
the price of 4 adult tickets & 6 child tickets = $77
the price of 6 adult tickets & 4 child tickets = 83
then the price of 1 adult ticket and 1 child ticket will be:
Let assume that the cost of 1 adult ticket to be $p
Then;
the cost of 4 adult ticket = $4p
Similarly, the cost of 6 adult ticket = $6p
However, assuming that the cost of 1 child ticket is $q
Then;
the cost of 6 child ticket = $6q
the cost of 4 child ticket = $4q
∴
We can express them with their given prices that:
4p + 6q = 77 --- (1)
6p + 4q = 83 --- (2)
From equation (1), let 4p = 77 - 6q
Then; [tex]p = \dfrac{77 - 6q}{4}[/tex]
replace the value of p into equation (2)
∴
[tex]6 \Big ( \dfrac{ 77 - 6q }{4}\Big) + 4q = 83[/tex]
[tex]\dfrac{462 - 36q}{4}+ 4q = 83[/tex]
[tex]115.5 - 9q + 4q = 83 \\ \\ 115.5 -5q= 83 \\ \\ 115.5 - 83 = 5q \\ \\ 32.5 = 5q[/tex]
[tex]q= \dfrac{32.5}{5}[/tex]
q = 6.5
Since q = 6.5, then using equation (1)
4p + 6(6.5) = 77
4p +39 = 77
4p = 77 -39
4p = 38
p = 38/4
p = 9.5
Thus, the cost of 1 child ticket is $6.5 and the cost of 1 adult ticket is $9.5
<><><><>Simple true and false math<><><><>
Answers
Answer:
true
Step-by-step explanation:
just my opinion but for me it's true
Answer:
TRUE I AGREE WITH THE PERSON UP ABOVE
Step-by-step explanation:
What is the solution set of –|x| = –8?
{8}
{–8}
{–8, 8}
no solution
Answers
Answer:
its c -8,8
Step-by-step explanation:
The soccer club held a spaghetti dinner. They sold 39 child tickets for $3.75 each and 27 adult tickets for $5.95 each. The amount for 11 child tickets was refunded. Estimate the amount of income received by the soccer club.
Answers
Answer:
265.65
Step-by-step explanation:
(3.75*39)+(27*5.95)-(11*3.75) = 265.65
HELPPP PLEASE!!!! HELP
Answers
2 x=7
3 t=3
B1 x=3
2 x=2
3 z= √6
What is the volume of a cylinder with radius 6 and height of 4. Use 3.14 for pi
Answers
given: x+y=10 if x=-21, what is y?
Answers
Answer: y = 31
Step-by-step explanation: all you need to do is plug in the x
since x = -21 we can put: -21 + y = 10
now we add 21 to both sides giving us: y = 31
Answer:
(-21,22)
Step-by-step explanation:
x+y=10
x=-21
subtitue the x value
-21+y=2
solve for y
y=22
Then write your answer by ordered pair
(-21,22)
Write down in terms of n an expression for the nth term of the following sequence
12 16 20 24 28
Answers
Answer:
4n + 8
Step-by-step explanation:
y-(-3y) combine the like terms to create an equivalent expression
Answers
Answer: 4y
Step-by-step explanation:
Distribute the negative sign to get rid of the parentheses
y+3y = 4y
Pass a brotha some help :(
Answers
Answer and Step-by-step explanation:
Distribute the 1p to the y and -6 and distribute the 2 to the 3y and 6.
10y - 50 + 6y + 12
Now, combine like terms.
16y - 38
#teamtrees #PAW (Plant and Water)
A middle school took all of its 6th grade students on a field trip to see a symphony at
a theater that has 4500 seats. The students filled 2205 of the seats in the theater.
What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answers
Answer:
49%
Step-by-step explanation:
to get the percentage you put the number of occupied seats over total number of seats and multiply it by 100 over 1
please help me with this
Answers
Answer:
a=8/2 b=9/4 c=13/5
16. Hanna has a bag of 23 marbles. 5 marbles are red, 6 marbles are blue, and the rest
are pink. Abby takes out two pink marbles without replacing them. What is the
probability that the next marble he draws will be blue?
A. 10/21
B. 4/21
C. 2/7
D. 6/23
Answers
Answer:
C. 2/7
Step-by-step explanation:
When two pink marbles are taken without replacement then the total number of marbles in the bag are reduced to 21 marbles. So the blue marble, which are currently in total 6 marbles, is taken out of the total of 21 marbles. The calculation of which is done as below:
Probability of Next Marble to be blue
= Blue Marble / Total Marbles in the bag
= 6 / 21
= 2 / 7
Hence, the correct option is C. 2/7
in an equilateral triangle the sides are 14sqrt7. find the length of the altitude
Answers
Answer:
1
Step-by-step explanation:
If the density of a piece of wood is 0.85 g/cm3, what is the volume if the mass of 24.99 cm3?
Answers
Answer:
to find volume
Step-by-step explanation:
I think so it is like this 24.99/0.85 =29.4
what is £120 by 40% Decreased
Answers
Explanation:
Decrease: (1-40%)
120 x (1-40%)
= 120 x 60/100
= 120 x 3/5
= 360/5
= £72
Answer:
£72
Step-by-step explanation:
100% - 40 = 60%
60/100 = 0.6
0.6 * £120 = £72
40/100 = 0.4
0.4 * £120 = £48
To check:
£72 + £48 = £120
Hope that helps!
In 42 minutes, Mr. Goo can run 6 miles. How long does it take him to run 1 mile?
Answers
Answer:
7 min
Step-by-step explanation:
Answer:
7 Minutes
Step-by-step explanation:
If you divide 42 by 6, you get 7.
I need some help here please
Answers
Answer:
d. raíz de 44
[tex] \sqrt{48 \\ } [/tex]
That’s because in radicals if there’s a square inside they square root that and put it on the outside. For example for √8, it would be 2√2, since the four can be square rooted, and there is still a 2 left inside the square root. For √48, there is a sixteen inside so you square root the 16 and get 4√3. Hope this helps
a population of 100,000 decreases by 6% each year. write a graph to explain that
Answers
Answer:
Step-by-step explanation:
Your graph equation is going to be y = 100,000 - .06x
The grocery store had 4lb bag of oranges for 4.80$ and a 6lb bag for 6.18$ . What is the difference of the 4lb bag of oranges and the 6lb bag of oranges
Answers
Answer:
$1.38
Step-by-step explanation:
The grocery store had 4lb bag of oranges for 4.80$ and a 6lb bag for 6.18$ . What is the difference of the 4lb bag of oranges and the 6lb bag of oranges
The cost difference is calculated as:
Cost of 6lbs of oranges - Cost of 4lbs of oranges
Cost of 6lbs of oranges = $6.18
Cost of 4lbs of oranges = $4.80
Hence,
= $6.18 - $4.80
= $1.38
The heights of the three tallest boys in a fifth–grade class are 1.575 m, 1.526 m, and 1.474 m. Which is one of the three boys' heights rounded to the nearest hundredth of a meter?
answers
1.57 m
1.48 m
1.52 m
1.47 m
Answers
Answer:
D. 1.47
Step-by-step explanation:
Answer:
1.47
Step-by-step explanation:
What is the equation of a circle centered at the origin with radius 20
Answers
Answer:
we have a rule
(x-h)²+(y-v)²=r²
while h is the x intercept
v is y intercept
r is the radius
so the answer will be
x²+y²=400
or
x²+y²=20²
Is my answer right? if not can you please show me the correct answer
Answers
Answer: No, is a=9
Step-by-step explanation: