Answer:
3/2
Step-by-step explanation:
Given
[tex]t_1 = 96[/tex]
[tex]r = \frac{1}{4}[/tex]
Required
Find t4
The nth term of a geometric sequence is calculated as:
[tex]t_n = t_1 * r^{n-1[/tex]
So:
[tex]t_4 = t_1 * r^{4-1[/tex]
[tex]t_4 = t_1 * r^3[/tex]
This gives:
[tex]t_4 = 96 * \frac{1}{4}^3[/tex]
[tex]t_4 = 96 * \frac{1}{64}[/tex]
Express as a single fraction
[tex]t_4 = \frac{96}{64}[/tex]
[tex]t_4 = \frac{3}{2}[/tex]
Hence, the 4th term is 3/2
Compare the fractions using the LCM.
3/5 and 1/4
Answer:
20
Step-by-step explanation:
z^m-n (z^m+ z^m+n + z^n)
Answer:Your left hand side evaluates to:
m+(−1)mn+(−1)m+(−1)mnp
and your right hand side evaluates to:
m+(−1)mn+(−1)m+np
After eliminating the common terms:
m+(−1)mn from both sides, we are left with showing:
(−1)m+(−1)mnp=(−1)m+np
If p=0, both sides are clearly equal, so assume p≠0, and we can (by cancellation) simply prove:
(−1)(−1)mn=(−1)n.
It should be clear that if m is even, we have equality (both sides are (−1)n), so we are down to the case where m is odd. In this case:
(−1)(−1)mn=(−1)−n=1(−1)n
Multiplying both sides by (−1)n then yields:
1=(−1)2n=[(−1)n]2 which is always true, no matter what n is
given that a>0 compare a+20/40 and a+10/20
Answer:
a+20/40 < a+10/20
Step-by-step explanation:
What is the slope of a line that includes the points (-4,1) and (10,-6)?
Answer:
[tex]\frac{-1}{2}[/tex]
Step-by-step explanation:
Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
insert points
[tex]\frac{1-(-6)}{(-4)-10}[/tex]
solve
[tex]\frac{7}{-14}[/tex]
[tex]\frac{-1}{2}[/tex]
In the sketch below, two parallel lines are cut by a transversal.
Answer:
m<1 = 150°
Step-by-step explanation:
Given:
m<1 = (4x + 50)°
m<2 = (7x - 25)°
Required:
m<1
Solution:
To find m<1, we need to create an equation that will enable us determine the value of x.
Thus,
4x + 50 = 7x - 25 => corresponding angles are congruent to each other
4x + 50 - 7x = 7x - 25 - 7x (subtraction property of equality)
-3x + 50 = - 25
-3x + 50 - 50 = -25 - 50 (substraction property of equality)
-3x = -75
-3x/-3 = -75/-3 (division property of equality)
x = 25
✅m<1 = (4x + 50)°
Plug in the value of x
m<1 = 4*25 + 50 = 100 + 50
m<1 = 150°
The time it takes to drive to Myrtle Beach varies inversely with the speed you drive. If it takes you 4 hours to reach Myrtle Beach when driving at a speed of 60 mph, how much time would it take if you drove at a speed of 80 mph?
If you drove at 80mph it would take you approximately 3 hours
This is because 60 is 75% of 80 and 3 hours is 75% of 4 hours.
25% of 4 hours is 1 hour
4 hours - 1 hour = 3 hours
Raul wants to buy a new bike from a store having a 10% off sale on
all bikes. The bike he wants has a sale price of $135. Write and solve
an equation to find the original price, b, of the bike.
by
Answer:
p = $150
Step-by-step explanation:
Let p represent the original price. Then 10% of that is the discount: 0.10p.
The price after discount is 90% of the original price, or (1.00-0.10)p = 0.90p = $135. We next solve this equation for p: 0.90p = $135, or p = $150.
Hellppp plzzz !!!! I will mark Brainly edit
Answer:
12
Step-by-step explanation:
Answer:
12
Hope this helps! Have a nice day!
help me please if you know the answer
Answer:
D as 32 divided by 8 is 4
Step-by-step explanation:
A quotient is a result obtained by dividing one quantity by another.
Answer:
The second choice is the correct answer. d/8=4
Step-by-step explanation:
if something is a quotient it means it is the solution of a division problem. So we know it cant be the first. the last one doesn't make sense because it says that 8 and a number d equals 4 so it cant be that 8*4=d. that also goes for the third problem because it has to equal 4 and that equals d not 4.
To find this out we see that because it is the quotient of a number and 8 is 4, that means that we have to have a number divided by 8, the only one with that is the second one.
The difference between x and 8 is equal to 15
Answer:
x = 23
Step-by-step explanation:
15 + 8 is 23 so x = 23
If 5 hamburgers cost $10, what is the cost for 3 hamburgers?
Answer: 6$
Step-by-step explanation: 5 divided by 10 = 2$ so 3 x 2 = 6
I do not hold responsibility if you get it wrong :(
I need some quick help
Answer:
Answer #2
Y = 1/4x
Step-by-step explanation:
5. The vertices of a parallelogram on a cartesian plane are as follows; (1,4),
(2, 2), (6,3), and (5,5). Find the measure of the longest diagonal.
Answer:
idontknow
Step-by-step explanation:
Answer:
first you need to understand what is a diagonal then if you understand them you can use the opposite coordinates to calculate the diagonals using the distance formula for example [tex] [/tex][tex]d = \sqrt{(x - x) { }^{2} } + \sqrt{(y} - y) {?}^{2} [/tex]then after that you will subtitute the for x of opposite vertices same for y make sure if you get an answer you take a positive square root if i a rootComplete the table. Then
identify the y-intercept
and the coordinate
where x = 1.
Consider the following
exponential equation.
Sketch the graph of the
exponential function.
y = 16(4x+1)
у
х
-2
-1
o
1
2
3
As x increases (x ).
у
As x decreases (x-co),
у
Answer:
y x
-2 1/4
-1 1/2
0 1
1 2
2 4
Step-by-step explanation:
its easy algbra
doing it rn to
math is so hard :’) and I need help:
Which equation matches this table?
X 0 3 9 11 13
Y 6 9 15 17 19
1. y = x + 5
2. y = x + 6
3. y = x + 3
4. y = x - 6
Answer:
The answer would be
2. y= x + 6
Answer: The answer would be
2. y= x + 6
Step-by-step explanation:
how many miles can u drive in 1 hour
╔═.✵.══════════╗
A N S W E R
╚══════════.✵.═╝
✩ ✩ ✩
It depends on the speed the car is going. If you are going 1 MPH you will drive a single mile per hour, but 2 MPH is 2 miles per hour. That's where the term "MPH" comes in, it tells you how many miles you will be driving per hour.
MPH = Miles Per Hour
Hope this helped, love! ✩ ✩ ✩
Use the Distributive Property to
REWRITE 5(p - 8)
Please helpppppppppp
Answer:
77 cubed in.
Step-by-step explanation:
I think it is 77 cubed inches because the formula is V-bh
Solve the exponential equation.
(½)x = 32
-5
1/5
-1/5
Answer:
-5
Step-by-step explanation:
(1/2)^x=2^-x
32=2^5
2^-x=2^5
-x=5
x=-5
Answer:Answer:
-5
Step-by-step explanation:
(1/2)^x=2^-x
32=2^5
2^-x=2^5
-x=5
x=-5
Step-by-step explanation:
The penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is 20 \text{ meters}20 meters20, start text, space, m, e, t, e, r, s, end text. One penguin swims half way around the island before hopping out.
How far did the penguin swim?
Give your answer in terms of pi.
9514 1404 393
Answer:
10π meters
Step-by-step explanation:
The circumference of the island is given by the formula ...
C = πd
where d represents the diameter of the circle.
Halfway around is half the circumference, so the distance the penguin swam is ...
1/2C = (1/2)π(20 m) = 10π m
The penguin swam 10π meters.
Answer:
10pi
Step-by-step explanation:
The circumference of the island is given by the formula ...
C = πd
where d represents the diameter of the circle.
Halfway around is half the circumference, so the distance the penguin swam is ...
1/2C = (1/2)π(20 m) = 10π m
Paul has a pocket full of 150 coins containing pennies, nickels and dimes. If 24% of his coins are pennies, and 51 of his coins are nickels, how many dimes does he have?
Answer:He has 63 dimes
Step-by-step explanation:
Hope this helps!
24% of 150=36
51+36=87
150-87=63
2. The amount of sap that is collected from
six sugar maples from a 12-acre forest of
sugar maples that are being tapped.
Population:
Sample:
The temperature at noon is 7 less than twice the temperature at 6:00 a.m. At noon it is 61 degrees. The temperature at 6:00 a.m. is t degrees. what is the temperature at 6:00 a.m.?
Answer:
34 degrees
Step-by-step explanation:
The equation that represents this situation is
2t - 7 = 61
to solve, start by adding 7 to both sides
2t = 68
then divide both sides by 2
t = 34
What is the area of the triangle at the right?
Answer:
13.16
Step-by-step explanation:
formula= (absin∅)/2
= (4×9×sin47)/2
= 13.16
Manny's muffins sells 50 muffins each day. 12 of these are blueberry. If they sell a 150 muffins tomorrow, how many blueberry muffins can they expect to sell?
Answer:
36
Step-by-step explanation:
12 times 3
Answer:
probably 36
Step-by-step explanation:
Please help meeeeee
A carnival game has 150 rubber ducks floating in a pool. The person playing
the game takes out one duck and looks at it.
• If there's a red mark on the bottom of the duck, the person wins a small
prize.
Many ducks do not have a mark.
After 50 people have played the game, only 3 of them have won a small
prize.
Estimate the number of the 150 ducks that you think have red marks on
the bottom.
Answer:
Pretty sure it's 17 ducks.
The correct answer is based on the information given, we can estimate by probability that there are approximately 9 ducks with red marks on the bottom out of the 150 ducks in the pool.
To estimate the number of ducks with red marks on the bottom, we can use the information given: out of 50 people playing the game, only 3 have won a small prize.
We can assume that the probability of winning a small prize is the same for each player, and that each duck is equally likely to have a red mark.
If only 3 out of 50 people have won a small prize, we can estimate that the probability of winning is approximately 3/50.
Let's denote the number of ducks with red marks as "x." The probability of winning a small prize can be represented as x/150 (since there are 150 ducks in total).
Setting up the equation:
x/150 = 3/50
To solve for x, we can cross-multiply:
50x = 3 * 150
50x = 450
Dividing both sides by 50:
x = 9
Therefore, based on the information given, we can estimate by probability that there are approximately 9 ducks with red marks on the bottom out of the 150 ducks in the pool.
Learn more about probability here:
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4. Write an equation of a line that passes
through the points (-5, -11) and (-2,1).
Answer:
y=4x+9
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-(-11))/(-2-(-5))
m=(1+11)/(-2+5)
m=12/3
m=4
y-y1=m(x-x1)
y-(-11)=4(x-(-5))
y+11=4(x+5)
y=4x+20-11
y=4x+9
Amira sells balloon animals. She uses the same number of balloons for each animal she makes. The table compares the number of balloon animals sold and the remaining number of balloons on a certain day.
Animals Balloons
20 180
29 144
38 108
How many balloons does Amira use for each balloon animal?
Answer:
36/9=4
Step-by-step explanation:
i tried it on khan it worked
Michael has $1,076.98 in his checking account. He is going to spend $536.32 on a new television, and he will spend the rest on
speakers that cost $47.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael
can buy without spending more money than he has in his account?
Answer:
11
Step-by-step explanation:
Memorial Day Spending The National Retail Federation conducted a national randomly-selected survey of 8,526 consumers on September 1-9, 2009 asking households how much they plan to spend on Memorial Day. I would like to know if the average amount households planned to spend on Memorial Day is less than $57. What are the observational units
Answer:
households
Step-by-step explanation:
An observational units are defined as the entity for which the information is received and the statistics are compiled of in the process of collecting the statistical data. It is also known as the statistical unit.
In the context, National Retail Federation is conducting a survey asking various households how much they are planning to spend on the memorial day. So the observational units in this study are the household because the information are collected on the basis of each household going to spend on the Memorial day.
The observational units in this will be households.
What will be the observational unit?An observational unit is defined as the entity for which the data is received and the statistics are collected in the process of collecting the statistical data. It is also known as the statistical unit.
In this context, National Retail Federation is executing a survey asking various households how much they are planning to spend on memorial day.
So the observational units in this study are the household because the information is gathered on the basis of each household going to expend on Memorial day.
Thus the observational units in this will be households.
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