Find the 8th term of the geometric sequence 3, 9, 27, ...
Answer:
The geometric sequence given is:
3, 9, and 27
When provided with a geometric sequence we must first calculate the common ratio
r is obtained by dividing a term by its preceding term.
1) 9
---- = 3
3
2) 27
---- = 3
9
for the sequence
Common ratio r = 3First term a = 3n = 8The 8th term can be obtained through formula
n-1 (8 - 1)
T = ar = 3 × 3
n
7
= 3 × 3
= 3 × 2187 = 6561
NO LINKS!!!
A mechanic charges $45 to inspect your heater, plus $80 per hour to work on it. You owe the mechanic a total of $385. Write and solve an equation to find the amount of time (h) (in hours) the mechanic works on your heater.
What is the equation and and the answer?
Answer:
385=80x+45
x=4.25 hours
Thomas is opening a savings account. Which integer represents his possible balance after making a deposit
A -10
B-5
C 0
D 10
find the slope of the line:
Find the length of BC. Round your answer to the nearest tenth.
Answer:
6.8cm
Step-by-step explanation:
I dont have an explanation
Kelly rides the bus to work d days each month. She pays a fare of $2.25 each time. On t of those days, she pays an additional fare of $0.75 to transfer onto another bus. The expression shown can be used to find her total cost for bus fare for the month.
d × 2.25 + t × 0.75
Which statement explains how to find Kelly’s total bus fare for the month?
Answer: A: find the product of D and $2.25 and the product of t and $0.75. Then find the sum of the two products.
The total fare for the bus can be found by first find the product of d and $2.25 and the product of t and $0.75. Then find the sum of the products.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given that,
The total fare for the bus can be calculated using the expression
d × 2.25 + t × 0.75
Here d is the total days that Kelly worked in a month.
On each of these days, she pays a fare of $2.25.
Total fare now = d × 2.25
Find this product.
There is also an additional fare of $0.75 to transfer onto another bus on t of these days.
Additional fare = t × 0.75
Find this product.
Add the resultant both products.
Hence the statement which explains how to find Kelly's total bus fare for the month is first find the product of d and $2.25 and the product of t and $0.75. Then find the sum of the products.
Learn more about Expressions here :
https://brainly.com/question/28172855
#SPJ2
A: y=5x+7 b:y= 3x+5 c: y=2x+5
Answer: A: y=5x+7
Step-by-step explanation: Hope this help :D
Diana finished 5/8 of her homework. what percentage is equivalent to the fraction of homework that Diana completed
Answer:62.5%
Step-by-step explanation:
While taking inventory at her pastry shop, Aisha realizes that she had 1/4 of a box of baking powder yesterday, but the supply is now down to 1/6 of a box. How much more baking powder did Aisha have yesterday?
Answer:
1/12
Step-by-step explanation:
[tex]\frac{1}{4} - \frac{1}{6}[/tex]
[tex]\frac{6 - 4}{24}[/tex]
[tex]\frac{2}{24}[/tex]
Converting to its simplest form, divide numerator and denominator by 2 = 1/12
if p and q vary inversely and p is 17 when q is 15, determine q when p is equal to 5
Answer:
Step-by-step explanation:
q = 51
Writing these statements symbolically, we get p = k/q. This is inverse variation.
Solving for k, we get k = pq. Thus the governing equation is k = pq, or k = (17)(15) = 255.
We then have a specific equation: p = 255/q, or q = 255/p.
If p is 5, q is q = 255/5 = 51
for brainiest:):):):):):):):):):):):)
Answer:
a) 12.5 in
b) 9.6 ft
Step-by-step explanation:
Since the scale is 2:5, you can use cross multiplication. 5*5=2x; 25=2x. Divide 2 on both sides and.. BOOM! you get 12.5.
You can do the exact same thing with the second blank. 2*24=5x; 48=5x. Divide 5 on both sides and you get... 9.6 feet!
Hope this helps! :)
help me please aaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
v=-16
Step-by-step explanation:
-2=2+v/4
(we know that 2+-4=-2 so we can see if that works)
(4*-4=-16)
2+-16/4=-2
(-16/4=-4)
2+-4=-2
solve this for me plzzzz and thxxx
Anyone please me on this!!
Answer:
27 degrees
Step-by-step explanation:
So looking at this rhombus, we can make out 4 seperate traingles.
How many degrees are in a traingle? 180.
Looking at the traingle with z angle in it, we can see that it is a right traingle.
Now, lets subtract that 90 degrees from the 180.
This leaves us with the 63 degrees and x that make up the 90 degrees that are left.
Now all we have to do is subtract the 63 degrees from the 90 total degrees that we have left, and we will find out what z is equal to.
90 minus 63 is 27, so the angle of z is:
27 degrees
I hope this helps!
Note that I assumed these are right traingles, however I dont see how you can solve this without these being right trianlges, since you cannot use sin, cos, or tan to find this value without another angle or side length.
100 POINTS PLEASE HELP QUICKLY
A savings account starts with $312.50. After 9 years of continuous compounding at an interest rate, r, the account has $1250.
What is the interest rate percentage?
Round the answer to the nearest hundredth.
P = 312.50
t = 9
r = ?
P(t) = P(9) = 1250
P(t) = Pe^(rt)
P(t) = Pe^(rt)
1250 = (312.50)e^(9r)
1250/312.5 = e^(9r)
4 = e^(9r)
ln(4) = ln(e^(9r))
ln(4) = (9r)ln(e)
[cancel out the e with ln on right side]
ln(4) = (9r)
ln(4) /9 = r
0.15 = r
ANSWER: 0.15 is the interest rateThe compound interest is computed both on the principal and the interest year on year. The rate of the interest is 0.16 or 16%.
What is savings account?A savings account is a type of account where an individual can save money for future purposes.
Here we havethe following information;
Principal = $312.50
Time = 9 years
Amount = $1250.
rate = ?
Using the formula;
A = P(1 + r/n)^nt
Where n =1
1250 = 312.50( 1 + r)^9
1250/312.50 = ( 1 + r)^9
4 = ( 1 + r)^9
1.16 = 1 + r
r = 1.16 -1
r = 0.16 or 16%
Learn more about compound interest: https://brainly.com/question/9904853?
On a certain hot summer's day, 335 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $619.2. How many children and how many adults swam at the public pool that day?
Answer:
57
Step-by-step explanation:
Let c represent the number of children ($1.75 each) and a represent the number of adults ( $2.00 each).
We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c
We also know that $1.75 c + $2.00 a = $609.25
By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25
Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25
Subtract $680 from both sides and combine like terms to get - $0.25 c = -
$70.75
Now, divide both sides by -$0.25 to get c = 283, the number of children.
The number of adults is 340 - c or 340 - 283 = 57
Questions are in the image above.
Answer:
hope this helps
you will find all answer in the photo i sent
Write the equation of the circle ?
Center (-1,0)
Radius:4
Answer:
(x+1)^2 + y ^2 = 16
Step-by-step explanation:
center: (-1,0)
radius=4
(x-h)^2 + (y-k)^2 = r^2
(h,k) = center
plug in the center
(x+1)^2 + (y+0) ^2 = r^2
r^2 = (4)^2
r^2=16
(x+1)^2 + y^2 = 16
Evaluate the expression for the given value.
2w+2l, when w=7, l=5
Answer:
2w+2l.
2(7)+2(5).
14+10.
24.
The side length in centimeters of a triangle are 5x,32,and 2(3x+2) the perimeter of the triangle is 80 centimeters What is the length is centimeters of the shortest side of the triangle
Answer:
the answer is 20
Step-by-step explanation:
in the question they want the shortest side length of the triangle and they gave you the perimeter.
what we want to find is the x value.
so,
perimeter= the sum of all sides.
substituting,
80= 5x + 32 + 2 (3x+2)
80= 5x +32+6x+4
80=11x+36
80-36=11x
44=11x
44/11=x
4=x
so, the value of x is 4. then we substitute the 4 in each x to find our shortest length.
5*4=20
32
2 (3*4+2)=28
so the shortest length is 20.
we can also check our answer to see if it is correct.
20+33+28= 80.
PLZZ ILL GIVE BRAINLIESTTT
Answer:
give me poi tasjnsaklaalwkdbfbdjwo
Exponential functions
Answer:
oh no i dunno how to do this
Step-by-step explanation:
Answer:
36, 6, (1/)36
1/6 ^ -2 = 6^2 = 36
1/6 ^ -1 = 6^1 = 6
1/6 ^2 = 1/36
You can buy a 6 back of Gatorade for $4.99 or you can buy 1 for $0.89. Which is
the better buy?
6 for $4.99
1 for $0.89
Answer: 6 for $4.99
Step-by-step explanation: You would be better off buying 6 for $4.99 because the unit rate of each bottle is cheaper. You can find the unit rate by dividing 4.99 by 6 which equals .83
If you were to buy 6 for .89 you would end up spending $5.34.
Hope this helps :)
Answer:
6 for 4.99
Step-by-step explanation:
.89 x 6= 5.34
kam
A company's stock was selling at
$28 a share. A month later, it was
selling at $21 a share. What is the
percent loss?
[?]%
Answer:Im pretty sure it's 25% percent loss
Step-by-step explanation:
sorry if im wrong
Which point on the graph represents the y-intercept?
Help??? The answer I put was an accident and I can’t take it away
Answer:
try clicking on another option?
25
What is the solution to the equation 12(x+5) = 4x?
Answer:
x = -7.5
Step-by-step explanation:
12(x+5) = 4x
12x+ 60 = 4x
60 = -8x
-7.5 = x
Please help!!!!! 8th grade mathHint not A
Answer:
c
Step-by-step explanation:
it passes vertical line test and is linear
Answer:
C
Step-by-step explanation:
The answer is C. Hoped it helped.
PLEASE HELPLPPPpppppp
Answer:
40
Step-by-step explanation:
it could be 40 all I did was subtract 80 from 120 but ¡dk wasn't really good in geometry
A candy company can sell fruit gums in rectangular boxes or in cylindrical tubes. Each box is 8 cm by 3 cm by 7 cm. Each cylinder has radius 3 cm and height 6 cm. The company wants the packaging that uses less material. Which packaging should the company choose? Justify your choice.
Answer:
i. The company should use the cylindrical tubes.
ii. This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²
Step-by-step explanation:
i, Which packaging should the company choose?
The packaging that uses less material is the one with the least surface area. So, we find the surface area of each material.
For the rectangular box, the surface area, A = 2(lb + lh + bh) where l = length, b = breadth and h = height. Since each box is 8 cm by 3 cm by 7 cm,l = 8 cm, b = 3cm and h = 7cm.
So, ,A = 2(lb + lh + bh)
,A = 2( 8 cm × 3 cm + 8 cm × 7 cm + 3 cm × 7cm)
A = 2(24cm + 56 cm + 21cm)
A = 2(101 cm²)
A = 202 cm²
For the cylindrical tube, the surface area, A' = 2πr(r + h) where r = radius of cylinder and h = height of cylinder.
Since each cylinder has radius 3 cm and height 6 cm, r = 3cm and h = 6 cm.
So, A' = 2πr(r + h)
A' = 2π(3 cm)(3 cm + 6cm)
A' = (6π cm)(9 cm)
A' = 54π cm²
A' = 169.65 cm²
Since the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²
The company should use the cylindrical tubes.
ii. Justify your choice.
This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²
