Answer:
1536 and 6144
Step-by-step explanation:
you are multiplying by 4
I hope this helps you to understands better
The next two-term of the sequence is 1536 and 6144 and the multiplicity is 4
Given the sequence of numbers expressed as 6, 24, 96, 384, ...
The given sequence is a geometric sequence. The nth term of the sequence is expressed as;
[tex]T_n = ar^{n-1}[/tex]
a is the first term
r is the common ratio or multiplicity
n is the number of terms
Given the following parameters
a = 6
r = 24/6 = 96/24 = 4
n = 5 and 6 (5th and 6th term)
For the fifth term;
[tex]T_{5} = 6(4)^{5-1}\\T_5=6(4)^4\\T_5 = 1536[/tex]
For the sixth term;
[tex]T_{6} = 6(4)^{6-1}\\T_6=6(4)^5\\T_6 = 6144[/tex]
Hence the next two-term of the sequence is 1536 and 6144 and the multiplicity is 4
Learn more here: https://brainly.com/question/9300199
Help!!! I need the answer!!
Answer:
Step-by-step explanation:
3/4a>-16=
a >- 64/3 or -21 1/3
Rob loves to snowboard in the winter, so he is looking at the cost of ski lift tickets for different mountains. Peak Point is selling 5-day packs for $275.60. Grand Mountain is selling 3-day packs for $174.75. Which mountain offers the better deal?
Answer: Peak Point offers the better deal.
Step-by-step explanation:
To find which has the best price, we need to know the cost for one day at each mountain. To do this, we would divide the cost of each pack by the number of days it pays for, so
$275.60/5 days
and $174.75/3 days.
Peak Point costs $55.12 per day while Grand mountain costs $58.25 for each day. This shows that Peak Point clearly has the better deal, costing $3.13 less for every day included in the pack.
what is the domain of g?
Answer:
(4,-5) is the answer
hope it helps you!!!!!!!
Step-by-step explanation:
.
Answer:
actual answer
Step-by-step explanation:
4(3xy^4)^3/(2x^3y^5)^4
Answer:
[tex]\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}=\frac{27}{4x^9y^8}[/tex]
Step-by-step explanation:
Given the expression
[tex]\:\:\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}[/tex]
solving the expression
[tex]\:\:\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}=4\cdot \:\frac{\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}[/tex]
[tex]=4\:\frac{27x^3y^{12}}{16x^{12}y^{20}}[/tex]
[tex]=4\cdot \frac{3^3}{2^4x^9y^8}[/tex]
The multiply fractions are defined as
[tex]\:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}[/tex]
so the expression becomes
[tex]=\frac{3^3\cdot \:4}{2^4x^9y^8}[/tex]
[tex]=\frac{3^3\cdot \:2^2}{2^4x^9y^8}[/tex]
[tex]=\frac{3^3}{2^2x^9y^8}[/tex]
Refining
[tex]=\frac{27}{4x^9y^8}[/tex]
Therefore,
[tex]\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}=\frac{27}{4x^9y^8}[/tex]
7th grade math need asap. Lilliana is training for a marathon. She runs the same distance every day for a week. On Monday, Wednesday, and Friday, she runs 2 laps on a running trail and then runs 6 more miles. On Tuesday and Sunday, she runs 4 laps on the trail and then runs 2 more miles. On Saturday, she just runs laps. How many laps does Lilliana run on Saturday?
Answer:
5 Laps
Step-by-step explanation:
The question says that she runs the same distance everyday. This shows us that...
2 laps on a running trail and 6 more miles = 4 laps on a running trail and 2 more miles
We can turn laps into the variable L and miles into the variable M to create an equation
2 L + 6 M = 4 L + 2 M
We can start by subtracting 2 M from both sides to get:
2 L + 4 M = 4 L
Now, we can subtract 2 L from both sides
4 M = 2 L
This tells us that 2 laps are 4 miles which means that 1 lap is 2 miles.
Now, we can break down either side of the equation. Let's break down
2 L + 6 M
First, we can turn the miles into laps. We know that 2 miles is one lap so we can divide 6 by 2. Our Equation:
2 L + 3 L
Now, we can simplify this :
5 L
Now we know that she ran 5 laps on saturday.
Hope this Helps!!! :)
Let me know in the comments if this answer was perfect or if I should change anything!!!
Substitute the given values into the formula, and solve for the unknown variable.
1
A= 2h(B+b); A=44, B = 2, b= 9
h=
Step-by-step explanation:
44 = 2 * h * 11
44 = 22 * h
divide 22 on both sides, and you get the answer
2 = h
A = 2h(B + b)
Disregard my first reply.
Here is the math work.
44 = 2h(2 + 9)
44 = 4h + 18h
44 = h(4 + 18)
44/(4 + 18) = h
44/22 = h
Divide top and bottom by 11.
4/2 = h
2 = h
Done!
1
Steve saw 313 birds during a bird-watching trip to Yellowstone National Park. He observed 15 more trumpeter swans than sand-hill cranes. He saw twice as many mountain chickadees as dusky grouses. How many birds of each type did Steve observe if he saw half as many trumpeter swans as dusky grouses?
Answer:
trumpeter swans = t = 41
sand-hill cranes = s = 26
chickadees = c = 164
dusky grouses = d = 82
Step-by-step explanation:
Total birds = 313
Let
trumpeter swans = t
sand-hill cranes = s
chickadees = c
dusky grouses = d
t = 15 + s
c = 2d
d = 2t
t + s + c + d = 313
(15+s) + s + 2d + d = 313
15 + s + s + 2(2t) + 2t = 313
15 + 2s + 4t + 2(15+s) = 313
15 + 2s + 4(15 + s) + 30 + 2s = 313
15 + 2s + 60 + 4s + 30 + 2s = 313
105 + 8s = 313
8s = 313 - 105
8s = 208
s = 208 / 8
= 26
s = 26
t = 15 + s
= 15 + 26
= 41
d = 2t
d = 2(41)
= 82
c = 2d
c = 2(82)
= 164
trumpeter swans = t = 41
sand-hill cranes = s = 26
chickadees = c = 164
dusky grouses = d = 82
what is the vertex of the parabola using this equation y=-x^2+4x+5
Answer:
(2, 9)Step-by-step explanation:
[tex]y=-x^2+4x+5\quad \implies\quad a=-1\,,\ b=4\,,\ c=5\\\\h=\dfrac{-b}{2a}=\dfrac{-4}{2(-1)}=2\\\\k=c-\dfrac{b^2}{4a}=5-\dfrac{4^2}{4(-1)}=5-\dfrac{16}{-4}=5+4=9[/tex]
Or by completing the square:
[tex]y=-x^2+4x+5\\\\y=-(x^2-4x)+5\\\\y=-(\underline{x^2-2\cdot x\cdot 2+2^2}-2^2)+5\\\\y=-\left((x-2)^2-4\right)+5\\\\y=-(x-2)^2+4+5\\\\y=-(x-2)^2+9\quad\implies\quad h=2\,,\ k=9[/tex]
Steven has 10 1/4 pages of homework. If he finishes 2 1/2 pages every ten minutes, how many pages will Steven have left after 10 minutes?
A. He has completed all pages of homework.
B. 12 3/4 pages
C. 7 3/4 pages
D. 2 1/2 pages
Answer: 7 3/4
Step-by-step explanation:
From the question, we are informed that Steven has 10 1/4 pages of homework and that he finishes 2 1/2 pages every ten minutes.
The number of pages that Steven will have left after 10 minutes will be:
= 10 1/4 - 2 1/2
= 7 3/4
He'll have 7 3/4 pages left
Three less than “x” is equal to 13.
Answer:X=16
Step-by-step explanation:
16-3=13
Answer:16
Step-by-step explanation:16-3=13
Solve using the quadratic formula: 5x2 + 5x = -5
Wilfred is feeding his goats. He gives 56% of the bag of feed to the goats in field A and the rest to the goats in field B. If the bag has 21kg of feed, how much do the goats in field A get?
Answer:
[tex]Feeds = 11.76kg[/tex]
Step-by-step explanation:
Given
[tex]Field\ A= 56\%[/tex]
[tex]Field\ B= The\ rest[/tex]
[tex]Bag = 21kg\ feed[/tex]
Required
Determine how much goats in field A, get.
To do this, we simply multiply the percentage feed received by goats in field A by the actual bags of feeds
i.e.
[tex]Feeds = 56\% * 21kg[/tex]
Convert percentage to decimal
[tex]Feeds = 0.56 * 21kg[/tex]
[tex]Feeds = 11.76kg[/tex]
Hence, goats in field A get 11.76kg of feeds
Someone help me with this please
Graph y = 5/3x - 9
Answer:
The answer is in the attached screenshot
the Y intercept is 9
the slop is 5/3
hope this helps.
Step-by-step explanation:
May I have brainliest please? :)
Answer:jdjej
Step-by-step explanation: so u can give him brainliest
5x+4=x+44 solve for x
Answer:
x=10
Step-by-step explanation:
hope this helps
5x = x + 44 - 4
5x = x + 40
5x - x = 40
4x=40
x=40/4
x = 10
This homework is really confusing me. PLEASE HELP SOON. i also haven't been able to understand this topic that well so if someone could explain some stuff that would be good
I've been having some problems too
:/
Which of the following represents the graph and y-intercept of the function 3x + y = -2?
HELP! I’m not even ahlf way doen!
Planet Fitness charges a $5 per month plus a
one-time membership fee of $60.
a.) Write a linear equation for the situation
where x is the number of months and y
is the total cost.
b.) How many months have passed if you
paid $114? SHOW ALL WORK.
Divide. Reduce the answer to lowest terms.
3/4 ÷ 1/3
Answer:
when dividing fractions folow these steps:
first, you need to switch the denom and num of the second fraction:
3/4 ÷ 1/3---> 3/4 ÷ 3/1
Next you just switch the sign of the negative to a multiplication sign and multiply:
3/4 ÷ 3/1---> 3/4 x 3/1
3/4 x 3/1 -----> 9/4
9/4, 2 1/4 - these are your answers. Either are correct
Step-by-step explanation:
Answer:
2 1/4
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs. Match each population trend to a contributing factor. government-sponsored family control programs agricultural economies medical advancements Industrial Revolution high birthrate arrowRight low death rate arrowRight increase in food supply arrowRight low birthrate arrowRight Reset Next
Answer:
Matching the population trend to a contributing factor:
Contributing Factors Population Trends
government-sponsored family control programs Low birth rate
agricultural economies increase in food supply
medical advancements low death rate
Industrial Revolution high birth rate
Step-by-step explanation:
a) Contributing factors are some negative or positive factors that influence or cause a single event or chain of events that result to the incident.
b) Defining population trends:
1) High birth rate: the industrial revolution triggered high birth rate, following increased food supply and medical advancements.
2) Low death rate: medical advancements brought about low death rate as better healthcare is provided to the sick.
3) Increase in food supply: large-scale agricultural economies ensured increasing food production and supply.
4) Low birth rate: when governments started sponsoring family control programs, the resulting effect was low birth rate.
Answer:
The first one is children and adolescents
the second one is adults
the third one is pregnancy
the last one is indivisuals with brittle bones
Step-by-step explanation:
hope this helps :D
determine the equation of the quadratic function represented by the table of values below: x -4 -3 -2 -1 0 1 y -20 -13 -8 -5 -4 -5
Answer: y = -1*x^2 - 4
Step-by-step explanation:
A generic quadratic equation is written as:
y = a*x^2 + b*x + c
we need to find the values of a, b, and c
We have the table:
x y = f(x)
-4 -20
-3 -13
-2 -8
-1 -5
0 -4
1 -5
In the table we can see two things:
y(0) = a*0^2 + b*0 + c = c = -4
Then we know that:
y(x) = a*x^2 + b*x - 4
Now we only need to find a and b.
We also can see that we have symmetry around the point x = 0, this means that x = 0 is the vertex of the quadratic equation, and for a general case the vertex is at:
x = -b/2a
and this is equal to zero:
-b/2a = 0
then we must have b = 0.
So for now, the equation is:
y = a*x^2 -4
Now we can just replace the values of any of the points to find the value of a, for example we can use the point (1, -5)
this means that:
y = -5 = a*1^2 - 4
-5 = a - 4
-5 + 4 = a
-1 = a
Then the quadratic equation is:
y = -1*x^2 - 4
In the first week of July, a record 1,060 people went to the local swimming pool. In the second week, 100 fewer people went to the pool than in the first week. In the third week,140 more people went to the pool than in the second week. In the fourth week, 146 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
Answer:
there was a total of 954 people at the pool
Step-by-step explanation:
Answer: 246
Step-by-step explanation:
What's the gcf of 47 and 17
Answer:
The GCF of 47 and 17 is 1
Step-by-step explanation:
If f(y) = 2y - 2/5,
what is f(f^-1(1024))?
Answer:
-0.399
Step-by-step explanation:
f^-1(1024)=(2*1024-2/5)^-1= 0.000488
f(0.000488)=2*0.000488-2/5= -0.399
PLEASE HELP i don’t understand
Answer:
29.7
Step-by-step explanation:
y = 2.7x + 2.7
y = 2.7(1) + 2.7 = 5.4
y = 2.7(2) + 2.7 = 5.4 + 2.7 = 8.1
y = 2.7(3) + 2.7 = 8.1 + 2.7 = 10.8
y = 2.7(4) + 2.7 = 10.8 + 2.7 = 13.5
y = 2.7(10) + 2.7 = 27 + 2.7 = 29.7
What is the value of y?
Answer:
Step-by-step explanation:
(12,5)
4/6 + 1/12. Quick answer.
nvm lol 3/4( had to redo
What is the slope of the line that
passes through these two points?
(-3, 2)
(4, 2)
Remember, Slope
rise (y2-yı)
run (x2-x1)
Simplify your answer completely.
Answer:
The line has a slope of zero which means the line is a horizontal line.
Step-by-step explanation:
Given that:
The two points are (-3,2) and (4,2)
Slope of a line is given by the formula,
[tex]m = \frac{Rise}{Run} = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Here,
[tex]x_{1}=-3,\ y_{1}=2\\x_{2}=4,\ y_{2}=2[/tex]
Putting these values in formula;
[tex]m=\frac{2-2}{4-(-3)} \\m = \frac{0}{4+3}\\m = \frac{0}{7} = 0[/tex]
Hence,
The line has a slope of zero which means the line is a horizontal line.
Divide. Reduce the answer to lowest terms.
14/3 ÷ 4
Answer:
Work shown below!
Step-by-step explanation:
[tex]\frac{14}{3}[/tex] ÷ [tex]\frac{4}{1}[/tex] = [tex]\frac{14}{3}*\frac{1}{4} = \frac{14}{12}=\frac{7}{6}[/tex]
Answer:
the correct answer is 1 1/6
What is the length of side BC of the triangle?
Enter your answer in the box.
units
Answer:
BC is 28
Step-by-step explanation: