Answer:
see explanation
Step-by-step explanation:
The n th term of a geometric sequence is
= a
where a is the first term and r the common ratio
Both a and r have to be found
Given a₃ = - 2, then
ar² = - 2 → (1)
Given a₇ = - 32, then
a = - 32 → (2)
Divide (2) by (1)
= , that is
= 16 ( take the fourth root of both sides )
r = 2 ← common ratio
Substitute r = 2 into (1)
a × 2² = - 2, that is
4a = - 2 ( divide both sides by 4 )
a = - ← first term
Hence
= - ← explicit formula
and
= - × = - 0.5 × 512 = - 256
Step-by-step explanation:
The age of 10 factory workers is shown in the table. If a 58 year-old worker is added, by how much will this increase the median age of the workers?
Answer: 3 years
Step-by-step explanation:
usa test prep
Given the circle O with the diameter AB. Find x in degrees.
A) 40 degrees
B) 60 degrees
C) 80 degrees
D) 120 degrees
Answer:
B) 60 degrees
Step-by-step explanation:
. If you know the circumference of the circle, divide it by π to get the diameter.
Solve for b.
b - 16 = 83
b =
Answer:
Hello! answer: b = 99
Step-by-step explanation:
To find b we just have to add 83 + 16 so
83 + 16 = 99 and 99 - 16 = 83 So B = 99
Answer:
B=99
Step-by-step explanation:
in our school school we were told that if a number is on the other side of the equals and it is - when you take it to the other side it will be addition so that is what I've just done hope you understand and if it was addition when we take it to the other side it would be subtraction.
Find the equation of the line.
Answer:
y = -3/2x + 3
Step-by-step explanation:
y = -3/2x + 3
The diameter of a truck wheel is 56.5 inches. What is the circumference of
the wheel?
Answer: 177.4999849 , or 56.5pi
Step-by-step explanation:
You simply divide the diameter by 2 to get the radius (28.25) and then plug into the circumference equation, 2*pi*r = Circumfrence.
Answer:
177.5 inches
Step-by-step explanation:
c = 2πr
d = r2
56.5/2=28.25
28.25x3.14= 88.705
88.705x2=177.41
Round, and you’ll get 177.5.
which expression is equivalent to ? Assume .
Answer:
A)
Step-by-step explanation:
Patrick is driving form Sydney to Canberra. He travels for 288km trip in 4 hours. What's his average speed?
Answer:
v = 72 km/h
Step-by-step explanation:
Given that,
The distance covered by the Patrick, d = 288 km
Time taken, t = 4 hours
We need to find the average speed of Patrick. We know that the average speed of an object is equal to the total distance covered divided by total time taken. Let it is v. So,
[tex]v=\dfrac{d}{t}\\\\v=\dfrac{288\ km}{4\ h}\\\\v=72\ km/h[/tex]
So, his average speed is equal to 72 km/h.
Choose the expression that shows the difference between x and y.
Answer:
the difference between x and y is x-y.
Step-by-step explanation:
have x 50 notes and y N100 notes. There
are eight notes altogether and their total
value is N550. How many of each note do
I have
Answer:
hi
Step-by-step explanation:
hi
Use the calculator to see how much you can save. Let's say you start with $2,000, save $100 a month for 10 years, and the account has a 2.5% interest rate. Based off of that calculation, how much interest would you earn?
Answer:
2500
so first you have to 100x 10 then times 2.5
Step-by-step explanation:
Rewrite each number sentence using numerals and symbols.Find 5 less than the product of 8 and 4 *
In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student has a cat given that they do not have a dog? ( NO LINKS )
Given:
Number of students who has a cat and a dog = 5
Number of students who has a cat but do not have a dog = 11
Number of students who has a dog but do not have a cat = 3
Number of students who neither have a cat nor a dog = 2
To find:
The probability that a student has a cat given that they do not have a dog.
Solution:
Let the following events:
A = Student has a cat
B = Do not have a dog
Total number of outcomes is:
[tex]5+3+11+2=21[/tex]
The probability that a student has a cat but do not have a dog is:
[tex]P(A\cap B)=\dfrac{11}{21}[/tex]
The probability that a student do not have a dog is:
[tex]P(B)=\dfrac{11+2}{21}[/tex]
[tex]P(B)=\dfrac{13}{21}[/tex]
The conditional probability is:
[tex]P\left(\dfrac{A}{B}\right)=\dfrac{P(A\cap B)}{P(B)}[/tex]
[tex]P\left(\dfrac{A}{B}\right)=\dfrac{\dfrac{11}{21}}{\dfrac{13}{21}}[/tex]
[tex]P\left(\dfrac{A}{B}\right)=\dfrac{11}{13}[/tex]
Therefore, the probability that a student has a cat given that they do not have a dog is [tex]\dfrac{11}{13}[/tex].
A circular pool has a radius of 3.2 meters. which is closest to the area of the pool
Answer:
32.17
Step-by-step explanation:
[tex]A= \pi[/tex] × [tex]r^{2}[/tex]
A= [tex]\pi[/tex] × [tex]3.2^{2}[/tex] ≈ [tex]32.16991[/tex]
A= [tex]32.17[/tex]
Please help me Sally hiked 6 tenths of a 3.6 mile trail. How many miles did Sally have left to hike?
Answer:Sally hiked 2.16 miles
Step-by-step explanation:
Sally hiked 6 tenths of a 3.6 mile trail.
6 tenths means 6/10
Therefore, Sally hiked 6/10 x 3.6 mile= 2.16 miles
what is this please!!!!! 20= -6+2n
Answer:
n = 13
Step-by-step explanation:
20= -6+2n
Add 6 to each side
20+6= -6+6+2n
26 = 2n
Divide each side by 2
26/2 = 2n/2
13 =n
A solid with volume 8 cubic units is dilated by a scale factor of k to obtain a solid with volume V cubic units. Find the value of k which results in an image with each given volume.
a. 216 cubic units
k=
b. 1 cubic unit
k=
c. 1,000 cubic units
k=
Answer:
a. k = 27
b. k = 216
c. k = 0.216
Step-by-step explanation:
The value of the scale factor can be given by the following formula:
[tex]k = \frac{Final\ Volume}{Initial\ Volume}[/tex]
where,
Initial Volume = 8 cubic units
a.
Final Volume = 216 cubic units
Therefore,
[tex]k = \frac{216\ cubic\ units}{8\ cubic\ units}[/tex]
k = 27
b.
Final Volume = 1 cubic units
Therefore,
[tex]k = \frac{216\ cubic\ units}{1\ cubic\ units}[/tex]
k = 216
c.
Final Volume = 1000 cubic units
Therefore,
[tex]k = \frac{216\ cubic\ units}{1000\ cubic\ units}[/tex]
k = 0.216
Worth lots of point will give brainiest! Help ASAP! Has to be correct.
Find the measure of measurement of angle w.
Answer:
w=87
Step-by-step explanation:
4x+7=5x-13
7=x-13
x=20
45 Points HELP RIGHT NOW!!!! Due in 2 hours!!!!! NO websites are allowed and please give me the order like this I need the steps too!!! I will mark you brainless too don’t answer for points or your reported
1 (table)
2(dog walker)
3(Ms Scholl)
Kayaker=12.5, so 12 knots
Commercials=9 commercials per hour
Dog= 7 miles
Tutoring=750 dollars
Without multiplying order the following products from least to greatest
Answer:
It would be:
4 5/9 x 1/2
4 5/9 x 10/10
4 5/9 x 6
Step-by-step explanation:
f(x) = x°-9x
g(x) = x2 - 2x-3
Which of the following expressions is equivalent to f(x)/g(x), for x > 3
Is this unbiased or biased?
The Bernal leadership class is going to sell spirit t-shirts for students and needs to order a color that most students would like to wear, so they ask every fourth student entering the school about their favorite t-shirt color to make a decision about all Bernal students.
Biased, because some students may not like that color, and thus going off of the most popular opinion is only supporting the most popular color. Adding onto that, not every student even gets to vote since it is only every 4th student.
HELP ASAP!
Find the surface area of the figure. Round to the nearest hundredth if necessary ^
Answer:
1187.52 yd^2
Step-by-step explanation:
SA=2πrh+2πr^2
R=9
H=12
So, 2(3.14)(9)(12)+2(3.14)(9)(9)=1187.57yd^2
Debra and her study partner flipped a coin 90 times. they flipped 40 heads and 50 tails. What is the experimental probability that the next flip will be heads upl
Answer:
1/2
Step-by-step explanation:
If you have two possible outcomes then the chance you will get heads is 1/2.
Have a wonderful day! :)
i need the correct answer please i’ll give u a brainliest
Answer:
V=75.4 m^3
Step-by-step explanation:
V=pi*r^2*h
V=pi*2^2*6
V=4*6*pi
V=24*pi
V=75.39 or 75.4 m^3
eight less than five times a number is greater than 6
Answer:
8 - 5x > 6
Step-by-step explanation:
Answer is in the problem:
eight = 8
less than = minus ( - )
five times a number = 5x (dont know the number so we put down "x")
is greater than 6 = > 6
does that make sense?
3x + 2y = 9
y = 4x – 1
(solve algebraically)
help me please ! i’ll mark brain list and double the points .
Answer:
32
Step-by-step explanation:
that just is the answer use pyth theorem them add 8
A recipe for lemonade calls for 4
cups of sugar for every 24 cups of cold
water. If you only have 2 cups of sugar,
how much water should you use?
please help me.
Here are the final scores for professional soccer team for past 5 tournament
3, 4, 1, 5, 2
Find the mean absolute deviation of team's scores.
A. 1.2
B. 3
C. 0.6
D. 3.2
Answer:
B(3)
Step-by-step explanation:
reorder 1,2,3,4,5
middle number is 3
Write a set of parametric equations for the equation x = 3y - 2 given that t= x + 3
Answer:
i hope you meant "y" instead of "t" because that would make so much more sense. all you have to do with this is replace "y" in the equation with "x + 3" (this makes the equation x = 3[x + 3] - 2). now, you multiply and combine the like-terms (making x = 3x + 7). you now continue by subtracting 3x from both sides of the equation to make -2x = 7 and dividing to make x = -3.5
Step-by-step explanation:
x = 3(x + 3) - 2
x = 3x + 9 - 2
x = 3x + 7
-2x = 7
x = -3.5