Answer:
1
Step-by-step explanation:
(-2)(1/4)=-1/2
(-2)(-1/2)
=1
the third term of the geometric sequence with first term = 1/4 and common ratio r = -2 is 1
We have a geometric sequence in which the first term is [tex]\frac{1}{4}[/tex] and the common ratio is -2.
We have to find the third term of this geometric sequence.
What is the formula to find the [tex]n^{th}[/tex] term of a geometric sequence?The formula to find the [tex]n^{th}[/tex] term of a geometric sequence with first term [tex]a_{1}[/tex] and common ratio r is -
[tex]a_{n} =a_{1} r^{n-1}[/tex]
In our question, [tex]a_{1}[/tex] = [tex]\frac{1}{4}[/tex] and r = -2 and n =3.
Substituting the values, we get -
[tex]a_{3} =\frac{1}{4}(-2)^{3-1} = \frac{1}{4} (-2)^{2} =\frac{1}{4}\times4=1[/tex]
Hence, the third term of the geometric sequence with first term = 1/4 and common ratio r = -2 is 1.
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How many three-letter permutations
can you make using the letters in
BEACH?
Can someone please help me?
Answer:
60
Step-by-step explanation:
nPr=n!/(n-r)!
5!/(5-3)!
(5*4*3*2*1)/(2*1)
120/2
60
Answer:
60
Step-by-step explanation:
A permutation is a rearrangement of its elements in any sequence or linear order.
We are asked to rearrange the word BEACH into three letter permutations.
We find that each letter represents the first letter 5 x 3 = 15
Then distributes 5 places, so that 15 x 5 = 60
asnwer question in screenshot pls
It's not a typo that 0 is written twice.
==============================================================
Explanation:
This is considered a step function because it resembles steps or a staircase. The vertical pieces aren't drawn to allow it to remain a function (or else it fails the vertical line test). Also there should be open holes at each left endpoint.
Recall that any horizontal line has a slope of 0 due to the fact that the rise is 0
slope = rise/run
The rise takes care of the vertical change in position. But if the line doesn't go up or down, then rise = 0 leads to slope = 0.
In short, the slope of each horizontal portion is 0. It doesn't matter which sub-section you focus on.
This is why you'll type 0 into the first two boxes.
------------------
As for the remaining two boxes, you'll be looking where the graph is the highest and the lowest to determine the max and min y values respectively.
We see that y peaks at y = 4 at the very top. So you'll type 4 into the third box.
Furthermore, we see that the lowest part of the graph is when y = -3. Therefore, this is the minimum aka smallest y value and you'll type -3 into the fourth box.
C no dolfneidlxnxbxjkdkdmd dnkfldmfkd
Birifnff
Answer:
this is even math bro
Step-by-step explanation:
| Find the quadratic polynomial whose
Sum and products of zeros are 21/8 and 5/16
Answer:
[tex]16x^{2} -42x+5[/tex]
Step-by-step explanation:
Sum of its zeroes=[tex]\alpha +\beta =\frac{21}{8} \\[/tex]
Product of its zeroes=[tex]\alpha \beta[/tex]=[tex]\frac{5}{16}[/tex]
Formula to form a quadratic polynomial:
[tex]p(x)=k[x^{2} -(\alpha +\beta )x+\alpha \beta ][/tex]
p(x)=[tex]k[x^{2} -(\frac{21}{8} )x+\frac{5}{16}][/tex]
p(x)=[tex]16[x^{2} -(\frac{21}{8} )x+\frac{5}{16}][/tex]
p(x)=[tex][16x^{2} -42x+5][/tex]
The quadratic polyniomial is [tex]16x^{2}-42x+5[/tex]
PLEASE HELP! 20 POINTS 1) A ball is thrown starting at a time of 0 and a height of 2 meters. The height of the ball follows the function H(t)=−4.9t2+25t+2. What is the height of the ball at each second from 0 to 5? (I'll put a picture of the graph.) 2) Which expression could represent the height of a soccer ball as it is in the air after being kicked? (This is part 2 to question 1) A. −16t+9 B. −16t2+4t3 C. 9t2+25t D. −16t2+25t+1
Answer:
a or b
Step-by-step explanation:
it just looks like b or a
H(t) = -4.9t^2 + 25t + 2
Height is a function of time
plug in 0, 1,2,3,4, and 5 to find the height at 0, 1,2,3,4, and 5 seconds.
at t = 0
H(0) = -4.9(0)^2+25(0) + 2 = 2 meters
Repeat for T=1,2,3,4 and 5
Notice the ball peaks around t = 3 seconds and starts to descend.
H(1) = (-4.9)(1^2) + 25(1) + 2 = 22.1 meters
H(2) = (-4.9)(2^2)+25(2)+2=32.4 meters
H(3) = 32.9 meters
H(4) = 23.6 meters
H(5) = 4.5 meters
Solve for w. | – w|≥2 Write a compound inequality like 1 < x < 3 or like x < 1 or x > 3. Use integers, proper fractions, or improper fractions in simplest form.
Answer:
[tex]-2 \geq w \geq 2[/tex]
Step-by-step explanation:
Given
[tex]|-w| \geq 2[/tex]
Required
Solve for w
[tex]|-w| \geq 2[/tex]
In absolution functions;
[tex]|-w| = |w|[/tex]
So, the given expression can be rewritten as
[tex]|w| \geq 2[/tex]
Removing the absolute sign, will gibe
[tex]w \geq 2[/tex] or [tex]w \leq -2[/tex]
When the second inequality os rewritten, it gives
[tex]w \geq 2[/tex] or [tex]-2 \geq w[/tex]
Reorder both inequalities
[tex]-2 \geq w[/tex] or [tex]w \geq 2[/tex]
Lastly, both inequalities are combined
[tex]-2 \geq w \geq 2[/tex]
Pleaseee i'm struggling so hard on this Geometry thing, show work please
Answer:
(12x+1)+(5x-3)=117
combine like terms 12x+5x=17x
1+-3= -2
17x-2=117
add 2 to both sides to isolate the variable
17x=119
divide both sides by 17 to further isolate the variable
x=119/17
x=7
answer is x=7
Step-by-step explanation:
add both angles to be the sum of the angle DEF and determine what x must be by the steps above
Answer:
x=7°
Step-by-step explanation:
Form an equation:
12x+1+5x-3=117°
Collect like terms:
Like terms are terms with the same variables and powers.
12x+5x=17x
1-3=-2
put I back into an equation:
17x-2=117°
As we want x, you would have to do inverse operations to 'undo the equation'.
117+2=119°
17x=119°
119÷17=7° (We divide by 17 because when a number is next to a letter, in algebra, it means you times so we have to do the opposite and divide)
So, x=7
Hope this helps :)
SOMEONE PLZ HELP ME ON THIS PROBLEM!!!!! I WILL GIVE BRAINLIEST TO THE BEST ANSWER!!!!!
Answer:
D
Step-by-step explanation:
End behaviour refers to the asymptotes, which both exponential functions have the same one at y = 2. However, they have different y - intercepts. The first one has a y - intercept of 4 and the second one has a y - intercept of 6. Thus, the answer is D.
Answer:
D. They have different y-intercepts but the same end behaviorStep-by-step explanation:
Let's name the function from graph: f
for f:
y-intercept = f(0) = 4
for x → ∞, f(x)→2
for g:
y-intercept = f(0) = 4(¹/₄)⁰+2 = 4•1+2 = 4+2 = 6 ≠4
f(1) = 4(¹/₄)¹+2 = 4•¹/₄+2 = 1+2 = 3
f(2) = 4(¹/₄)2+2 = 4•¹/₁₆+2 = ¹/₄+2 = 2¹/₄
f(3) = 4(¹/₄)³+2 = 4•¹/₆₄+2 = ¹/₁₆+2 = 2¹/₁₆
f((5) = 4(¹/₄)⁵+2 = 4•¹/₁₈₂₄+2 = ¹/₅₁₂+2 = 2¹/₅₁₂
....
so for x x → ∞, f(x)→2
jawaban dari 5x – 7 = 13 adalah....... dijawab ya....
Answer:
x = 4
Step-by-step explanation:
5x - 7 = 13
5x = 13 + 7
5x = 20
x = 20/5
x = 4
solve this equation -2x+9=-5x-15
Answer:
x = -8
I hope this helps!
Gabby is touring New York City with her family. They want to visit the Empire State Building, Central Park, and Times Square before their dinner reservations at 8:25 P.M. They want to spend 1 hour and 10 minutes at the Empire State Building, 2 hours and 50 minutes in Central Park, and 1 hour in Times Square. What is the latest time Gabby's family can start their tour in order to make it to dinner on time?
Answer:
3:25 pm
Step-by-step explanation:
How much time do they need for tours
Empire State Building : 1 hour 10 minutes
Central Park 2 hour 50 minutes
Times Square 1 hour
-------------------------------
4 hours 60 minutes
but 60 minutes = 1 hour so subtract 60 minutes and add 1 hour
4 hours 60 minutes
+1 -60
--------------------------------
5 hours
They need 5 hours for the tours
We have to be at dinner at 8:25 so we need to start 5 hours earlier
8:25
- 5
------------------
3:25
We can start no later than 3:25 pm
Answer:
3.25
Step-by-step explanation:
First convert into minutes
1 hour = 60 minutes
Empire state building:
60 + 10 = 70
Central park:
60 + 60 + 50 = 170
Times square:
60
Now add all minutes together.
70 + 170 + 60 = 300 minutes.
Convert into hours:
300 / 60 = 5 hours.
8 - 5 = 3
So, Gabby's family can start their tour at 3:25 at most to get to dinner on time.
Hope this helped.
Help please!!!! Thank you
Answer:
E) 15pi/2
Step-by-step explanation:
The total circle area is pi*r^2. r = 6. so the total area is 6^2pi, or 36pi.
However, we are dealing with 75/360 of a circle, or 5/24 of a circle. 5/24 * 36pi = 15pi/2.
You have been saving $12 each week for many weeks. One day, you decide to count your savings and find that you have $384. Write and solve a multiplication equation to find how many weeks w you have been saving.
Answer:
Hope I helped! Brainleist!
Step-by-step explanation:
you get $12/week
and you have $
your equation is
y=12x
now...
y = 384
so
384=12x
x= 32
What types of concurrent constructions are needed to find the orthocenter of a triangle? A. intersection of the lines drawn perpendicular to each side of the triangle through its midpoint B. intersection of the lines drawn to bisect each vertex of the triangle C. intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side D. intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex
Answer:
intersection of the lines drawn to bisect each vertex of the triangle
Step-by-step explanation:
trust
The table below shows one doctor's patients who got the flu and whether or not they took a vitamin each day. What is P(took a vitamin | got the flu)? (Note: If your fraction will reduce, you need to reduce it.)
Answer:
1/4
Step-by-step explanation:
25 people took a vitamin and still got the flu and the total number is 100 so the fraction is 25/100 which can be reduce to 1/4
The P(took a vitamin | got the flu) will be 1/4.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Here, the table below shows one doctor's patients who got the flu and whether or not they took a vitamin each day.
We need to find the P(took a vitamin | got the flu).
Now, 25 people took a vitamin and still got the flu.
The total number is 100.
So, the fraction is 25/100 which can be reduce to 1/4.
P(took a vitamin | got the flu) = 25/100
P(took a vitamin | got the flu) = 1/4
Therefore, the P(took a vitamin | got the flu) will be 1/4.
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Use the discriminant to determine the number of real solutions to the equation. −8m^2+2m=0
Answer:
discriminant is b²-4ac
= 2²-4(-8)(0)
= 0
one solution
hope this helps :)
if the area is 1 then what is the side length of a square?
Answer:
1
Step-by-step explanation:
Since we are taking the area of a square, you can take the square root of its area to find the side lengths.
√1 = 1
g(x)=7x-2/5x+1
Find g^-1(x), where g^-1 is the inverse of g.
Also state the domain and range of g^-1 in interval notation.
a man stride is 7/8 metre long. how many strides does he take in walking a distance of 98m
Answer:
112
Step-by-step explanation:
To find the number of strides, divide the distance by the distance per stride:
(98 m)/(7/8 m/stride) = (98)(8/7) strides = 112 strides
He takes 112 strides in walking 98 m.
Please help URGENT!!... There are 200 students in the 7th grade class at Manchester Middle School. Of these students, 22% play football, and 12% play baseball. Eight students play on both teams. What is the probability that a student plays either football or baseball? A. 30% B. 38% C. 26% D. 34%
Answer:34
Step-by-step explanation:just add the percents
Answer:
C. 26%
Step-by-step explanation:
We can sort students into three categories: Football Only, Baseball Only, and students who play Both.
Firstly, let's turn the percentages into numbers to make the calculations easier:
To find 22% convert into decimal and multiply:
0.22 x 200 = 44 TOTAL Football players
Similarly, 0.12 x 200 = 24 TOTAL Baseball players.
The question then tells us that 8 students play both.
This means there are 44-8 = 36 students who play ONLY football, and
24-8= 16 students who ONLY play baseball:
Football Only: Both: Baseball Only:
36 8 16
44 Total Football and 24 total baseball
The question asks the probability of a student playing EITHER football OR baseball which therefore does not include the students who play both.
Now we can add up all these numbers of students which gives us:
36 + 16 = 52
Now to find the percentage we just divide 52 by 200:
52/200 = 0.26 which is equivalent to 26%.
Therefore the answer is C. 26%
Hope this helped!
5y-5y^2-5+2+2y+3y^2-1
Answer:
7y - 2y² - 4
Step-by-step explanation:
5y - 5y² - 5 + 2 + 2y + 3y² - 1
5y + 2y - 5y² + 3y² - 5 + 2 - 1 (combine like terms)
7y - 2y² - 4
Help pls!! I’m bad at geometry lol
Answer:
The perimeter of a shape is the length around it.
Step-by-step explanation:
We will be using the x and y values and add them together to find the total perimeter.
To do this, let's find all the values of the 2 axis:
(2 to 4) = 2
(1 to 3) = 2
(4 to 10) = 6
(3 to 1) = 2
(10 to 12) = 2
(1 to 8) = 7
(12 to 2) = 10
(8 to 1) = 7
We now add these values together which gives us 38. Don't forget to add the units afterwards (cm, m and so forth).
-5r+8r+5 what is the anwser
Answer:
-5r + 8r +5
= (-5+8)r+5 (we can calculate number in same variabe)
= 3r +5
hope it helps ^°^
Answer:
3r + 5.
Step-by-step explanation:
-5r + 8r + 5
= 8r - 5r + 5
= 3r + 5.
Hope this helps!
write in exponent from 7x7x7x7x7
Answer: 7⁵
Step-by-step explanation:
7×7×7×7×7
Here 7 is mutiplied by 7 , 5 times
Therefore it will be 7 to the power 5 = 7⁵
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How much cement is needed for a hole 0.4m wide and 1m long.
Answer:
its 80 meters longs
Step-by-step explanation:
if it is wrong just go look it up
Christian ran 4 1/4 miles on Monday and 2 2/3 miles on Tuesday. On Wednesday, he ran 1 1/3 fewer miles than he ran on Monday. How many miles did he run in all? SHOW YOUR WORK AND EXPLAIN PLEASE I WILL MARK YOU BRAINIEST.
Answer:
9.83 miles
Step-by-step explanation:
Distance covered on Monday = 4.25 miles
Distance covered on Tuesday = 2.66 miles
Distance covered on Wednesday
= 4.25 - 1.33 = 2.92 miles
Total distance covered in Three days = 9.83miles
Laura brought some fish; salt water ($2 each) and fresh water ($1 each). If she has 15 fish - how many of each did she buy?
Answer:
are you sure there is no further info
Step-by-step explanation:
you need to fill a water jug with 8.23 L. you filled it with 2.92 L and then added 3.14 more how much more water do you need?
Write the equation for the horizontal line going through the
point (3,7).
y =
Answer: y = 7
This is because every point on this horizontal line has a y coordinate of 7.
For instance, the points (0,7) and (3,7) are on this horizontal line. The x coordinate doesn't matter. All that matters is that y is 7. Since x doesn't matter, it's the reason why it doesn't show up in the answer.
Selling frozen yogurt at a fair, you make $565 and use 250 cones. A single-scoop cone cost $2 and a double-scoop cone cost $2.50. How many of each type of cone did you sell?
The seller sold 120 single-scoop cones and 130 double-scoop cones to make $565.
250 cones were used while selling yogurt and made $565.
There are two types of cones:
Single-scoop cone that cost $2.
Double-scoop cone that cost $2.50.
We need to know how many cones of each type were used while selling yogurt that made $565.
This is a system of linear equations problem.We will have to make two linear equations using the given statements and apply the substitution method to get our answer.
Consider,
x = single-scoop cone.
y = double-scoop cone.
Now, we can make two linear equations:
x + y = 250............(A)
2x + 2.50y = 565...............(B)
Apply substitution method.
From (A) we get,
x = 250 - y...............(C)
And putting x = 250 - y in (B) we get,
2 ( 250 - y ) + 2.50y = 565
500 - 2y + 2.50y = 565
0.50y = 565 - 500
0.50y = 65
y = 65 / 0.50
y = 6500 / 50
y = 130
Putting y = 50 in (C) we get,
x = 250 - 130
x = 120
We have,
x = 120 and y = 130
We see that we need 120 single-scoop cones and 130 double-scoop cones to make $565.
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