A bouncing ball reaches a height of 27 feet at its first peak 18 feet at its second peak and 12 feet at its third peak Describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak
Answer: 8
Step-by-step explanation:
A Geometric sequence can be used:
To Model this sequence you need to use this formula
A (subscript n) = Ar(n-1)
a = value of the first term
n = the # of the term you want to find (For example, if you want to find the term number 3, it is 12)
r = the common ratio, this is obtained by dividing the second term in the sequence by the first.
So the value of r is = 2/3 because 27 times 2/3 = 18 which is the second term
n = 4 since you want to find the 4th term in the sequence
Plug it in and results are
4th term = 27(2/3)^(4-1) = 8
Sample Response:
There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.
The need the distance
we have a formula for the distance between two poits
AB=[tex]\sqrt{(5-2)^2+(10-2)^2}[/tex]
AB=[tex]\sqrt{3^2+8^2}[/tex]
AB=[tex]\sqrt{9+64}[/tex]
AB=[tex]\sqrt{73}[/tex]
AB=8.54400
AB≈8.54
Answer:
X = root 73
Step-by-step explanation:
Basically you have to use the slope formula and slope intercept aka y = mx+b to find the equation. The equation is: 8/3x minus 10/3 and if you were to set this equation to zero and plug in root 73 you would get 0 meaning this answer is true/right.
If -1 is subtracted from 5, what will be the result?
greater than 4
equal to 4
positive, but less than 4
negative
Answer:
Greater than 4.
Step-by-step explanation:
the answer is 6, and 6 > 4.
Have a good day! God bless! :D
The Star television costs $750 more than the Jupiter television. The two models cost $2,600 all together. Sandra writes an equation to find the cost of the two models. If c represents the cost of the Jupiter television, which of the following would be true when verifying the solution of the equation? Check all that apply. Sandra substitutes c = 925 into the equation c + (c + 750) = 2,600. Sandra substitutes c = 925 into the equation c + (c minus 750) = 2,600. Sandra finds a true statement after substituting 925 into the equation. Sandra finds a false statement after substituting 925 into the equation. When Sandra evaluates the equation with c = 925, she subtracts 750 from 925. Then, she adds that sum to 925. She finds that the value is not equal to 2,600. When Sandra evaluates the equation with c = 925, she adds 925 to 750. Then, she adds that sum to 925. She finds that the value is 2,600.
Answer:
A. Sandra substitutes c = 925 into the equation c + (c + 750) = 2,600.
C. Sandra finds a true statement after substituting 925 into the equation.
F. When Sandra evaluates the equation with c = 925, she adds 925 to 750. Then, she adds that sum to 925. She finds that the value is 2,600.
Step-by-step explanation:
select the first one, then the 3rd one, then the 6th one <3
15 POINTS!!!
Solve the equation.
x over four – 5 = –8
A. –27
B. –12
C. –7
D. 12
x/4 - 5 = -8
=> x/4 = -8 + 5
=> x/4 = -3
=> x = -3 × 4
=> x = -12
So, answer is B. –12
please, help, asap thank youu
Answer:
i think it might be B or D
Examine the triangles below. Solve for y.
Answer:
10 = y
Step-by-step explanation:
5 and 4 was in the first triangle, in the other triangle its 14 and y 14 is 10 times bigger than 4 so y is 10
9f + 4 - 7f = 8 pls help
Step-by-step explanation:
f = 2 is the correct answer
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Restaurant A sells 10 tacos for $8.50. How much does Restaurant A charge for 1 taco?
Answer:
$0.85
Step-by-step explanation:
Given that,
Price of 10 tacos for $8.50
We need to find the charge for 1 taco.
We can find it using the unitary method.
10 tacos = $8.50
1 taco = [tex]\dfrac{8.5}{10}[/tex] = $0.85
Hence, restaurant A charge $0.85 for 1 taco.
$9.39 with a 3.5% tax. What is the subtotal plus the tax? With a tip of 20% what is the total wit tax plus the 20% tip equal to?
Answer:
a. $9.72
b. $11.60
Step-by-step explanation:
$9.39*(1+(3.5/100)) = $9.72
$9.39*(20/100) = $1.88
$9.72+$1.88 = $11.60
I NEED HELP ASAP, ILL MARK BRAINLIEST!!!
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y < 2x − 7
y is greater than or equal to negative 1 over 2 times x plus 3
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (3, −7) included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)
Answer:
A: The line is a dotted line and the shaded part is on the right side of the line
B: Yes it is correct because if u put in the x value and the y value and calculate it the statement is true.
umm help?
310−−√
30√10
3√5
3√10
15√5
44−−√
222−−√
440−−√
211−−√
411−−√
192−−−√
824−−√
83√
643√
106√
Step-by-step explanation:
idek what u mean so can u explain or a pic
Help please, will mark brainliest.
Step-by-step explanation:
y = -2x² + 9x - 11 (2 complex solutions)
y = 3x² - 6x + 3 (1 distinct real solution)
y = -x² - 4x + 7 (2 real solutions)
WORTH ALOT OF POINTS PLEASE SHOW WORK!!!!
Write four sets of values that represent y = 4Xin the table below.
Answer:
Step-by-step explanation:
y = 4 * x
you can replace y and x with any values, but it has to be correct. you can say 15 = 4 * 3, but that isn't correct. but you can say 16 = 4 *4
The value of the equation is y = 4x
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
y = 4x be equation (1)
On simplifying the equation , we get
when x = 1
y = 4 ( 1 )
y = 4
when x = 2
y = 4 ( 2 )
y = 8
when x = 3
y = 4 ( 3 )
y = 12
when x = 4
y = 4 ( 4 )
y = 16
Therefore , the values of y are { 4 , 8 , 12 , 16 }
Hence , the equation is y = 4x
To learn more about equations click :
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A line passes through (10,5) and (13,-4). Write the equation of the line in standard form.
A. 3x-y=5
B. 3x-y=25
C. 3x+y=25
D. 3x+y=35
a baby was born with a weight of five pounds and then began to gain 1.25 pounds per month. write an equation for w in terms of t representing weight in pounds of a newborn baby t months after birth
Answer:
w times t
Step-by-step explanation:
Answer:
1.25t+5
Step-by-step explanation:
period
The temperature in Tampa increased from 4 a.m. to 4 p.m. on one day in February. The table of values below represents temperature as a function of time.
Time
5:53 a.m.
6:53 a.m.
8:53 a.m.
11:53 a.m
3:53 p.m.
Temperature
(°F)
60.1
60.1
66.9
75.2
78.1
Over which interval was the average rate of change per hour the greatest?
Answer:
its b
Step-by-step explanation:
Time interval 6:53 a.m to 8:53 a.m, the average rate of change per hour the greatest.
Given,
Time Temperature (°F)
5:53 a.m. 60.1
6:53 a.m. 60.1
8:53 a.m. 66.9
11:53 a.m 75.2
3:53 p.m. 78.1
From 5:53 a.m. to 6:53 a.m. the temperature is constant. So average rate of change per hour is 0.
From 6:53 a.m to 8:53 a.m. the temperature is increasing from 60.1 to 66.9 or 6.8 in 2 hours . So average rate of change per hour is [tex]\frac{6.8}{2} =3.4[/tex].
From 8:53 a.m. to 11:53 a.m the temperature is again increasing from 66.9 to 75.2 or 8.3 in 3 hours. So average rate of change per hour is [tex]\frac{8.3}{3} =2.76[/tex].
From 11:53 a.m to 3:53 p.m. the temperature is again increasing from 75.2 to 78.1 or 2.9 in 4 hours. So average rate of change per hour is [tex]\frac{2.9}{4}=0.725[/tex].
Now clearly from the above points time interval 6:53 a.m to 8:53 a.m, the average rate of change per hour the greatest.
For more details on temperature scale follow the link:
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Help? How to solve step by step?
Answer: (x+2)^2/x+2
= x+2 * x+2 / x+2
= x+2
Hope it helped u,
pls mark as the brainliest
^_^
Jane said that 6(64) = 6(50) + 6(14). Is she correct? Use the Distributive Property to explain your answer.
Answer:
Yes.
Step-by-step explanation:
6(64) = 6(50+14)
Using the Distributive Property, 6 needs to be multiplied by both 50 and 14.
6(50+14) = 6(50) + 6(14)
Thus, Jane is correct.
1. One factor is a two digit number between 1 and 10 2. One factor is a two digit number between 1 and 10 ( different from the first) 3. The product is greater than 8. But less than 10
Answer: 3.5 * 2.5 = 8.75
Step-by-step explanation:
The factors are to be less than 10 but are should be two digit numbers. The only way this is possible would be if they had decimals.
Which two numbers below 10 can give a product less than 10 but more than 8?
3 and 3 would give 9 which is the closest to our constraints.
Both numbers cannot be similar however and have to have a decimal but the factors should be around 3 but not up to 4 as this would pass the 10.
3.5 * 2.5 = 8.75 would work.
Given 264 feet of fencing, write an equation that can be used to calculate the area enclosed by
the fencing
What dimensions will maximize the area enclosed by the fencing?
Answer
(264/4)x66=4356 using a square
Step-by-step explanation:
each side will have 66 feet on fenecing adding up to 264 feet. A square is the most effiecnt shape to enclose and area.
what does x equal in 6x + 9 = -12
Answer:
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. . 。 。
. 。 ඞ 。 . •
ﾟ -3.5 was the answer. 。 .
' 1 Impostor remains 。
ﾟ . . , . .
Step-by-step explanation:
6x + 9 = -12
-9 -9
6x = -21
Divide -21 by 6
x = -3.5
the sum of 2 numbers is 49. Twice the smaller number is 97 less than 3 times the larger number. What are the numbers?
Answer:
let the larger and smaller number be x and y respectively
first condition
x + y = 49
second condition
3x = 2y+97
3x-2y =97
Multiplying first condition by two and adding both equations
2x + 2y = 98
3x -2y = 97
5x = 195
x = 195/5 = 39
putting the value of x in
x + y = 49
y = 49 -39 = 10
again
Step-by-step explanation:
Solve for x:[tex]\frac{9}{x}= \frac{x}{16}[/tex]
A.144
B.12
C.24
D.18
how do u add really big fractions
Answer:
It depends on your situation
Step-by-step explanation:
If you have a mixed fraction, for example: 5 23/3000 + 101 777/3000 you would have to make them irrational numbers and add them. Like so: 3000x5 = 15000. 15000+23 = 15023. 15023/3000. Same process but this time you get 303777/3000. You then add the numerators (top numbers) and you'll get the sum over 3000.
For regular fractions you simply add the numerators. If your denominators are not the same, you need to find a common term that both can fit into. If the denominators are not the same, no matter the size of the fraction, you cannot add it.
Veronica is shopping for school clothes. She wants to buy pants and shirts. The cost of her clothes can be found using the expressions 30x+ 25y where x is the number of pants and y is the number of shirts. She will also pay 8 tax. If Veronica buys eight shirts and two pairs of pants use the expression from question 4 to determine the total cost of the bill including 8% tax
Answer:
$280.80
Step-by-step explanation:
Given:
C = 30x+ 25y
Where,
C = total cost
x = number of pants
y = number of shirts.
If Veronica buys eight shirts and two pairs of pants
C = 30x + 25y
= 30(2) + 25(8)
= 60 + 200
= 260
C = $260
Sales tax rate = 8%
Amount of sales tax = 8% of $260
= 8/100 × 260
= 0.08 × 260
= $20.80
Total cost of the bill including 8% tax = $260 + $20.80
= $280.80
Distance in Feet
1. Earlier this week the famous "Live Cannonball” - Gunter Money was shot from a cannon at the Austin Expo.
Gunter flew to a height of 70 feet and traveled a distance of 160 feet only to land perfectly in a safety net.
Assume (0, 0) was the starting point for Gunter's flight and that he landed in the net at (160, 0).
(a) Use matrices to find the equation for Gunter Money's path.
(b) Write the equation for Gunter Money's path in vertex form.
US 11:50
acer
9514 1404 393
Answer:
a) y = -7/640x^2 +7/4x
b) y = -7/640(x -80)^2 +70
Step-by-step explanation:
a) Given the equation in standard form:
y = ax^2 +bx +c
we can use the points (0, 0), (80, 70), and (160, 0) to find the values of a, b, c.
a·0 +b·0 +c = 0
a·80^2 +b·80 +c = 70
a·160^2 +b·160 +c = 0
The first equation tells us that c=0, so we can write a reduced matrix for the last two equations. The augmented matrix is ...
[tex]\left[\begin{array}{cc|c}6400&80&70\\25600&160&0\end{array}\right][/tex]
A matrix solver finds the solution to be ...
a = -0.0109375 = 7/640, b = 1.75 = 7/4
The standard-form equation for Money's path is ...
y = -7/640x^2 +7/4x
__
b) Factoring out -7/64, we have ...
y = -7/640(x^2 -160x)
adding and subtracting the square of the x-coefficient, we have ...
y = -7/640(x^2 -160x +6400) +70
y = -7/640(x -80)^2 +70
3 tane sorum var 3 ü de 9.sınıf sorusu bu 3 sorusu cevaplayanı en iyi seçeceğim
1) Vitaminlerin özellikleri nelerdir?
2)Buldukları besinler nelerdir?
3)İnsanların beslenmesindeki önemi nedir?
Answer:
1.
Bazı vitaminler yağda çözünür; diğerleri suda çözünür. Suda çözünen vitaminler (C, tiamin, riboflavin, piridoksin, biotin, pantotenik asit, folat, B12) bir veya daha fazla polar veya iyonize edilebilir gruba sahip olma eğilimindeyken, yağda çözünen vitaminler (A, D, E ve K) ağırlıklı olarak aromatik ve alifatik karakterlere sahiptir.
2.
Besinler, yaşam ve sağlık için gerekli olan gıdalardaki bileşiklerdir ve bize enerji, onarım ve büyüme için yapı taşları ve kimyasal süreçleri düzenlemek için gerekli maddeler sağlar. Altı ana besin maddesi vardır: Karbonhidratlar (CHO), Lipitler (yağlar), Proteinler, Vitaminler, Mineraller, Su.
3.
Vitaminlerin farklı görevleri vardır - enfeksiyonlara direnmenize, sinirlerinizi sağlıklı tutmanıza ve vücudunuzun gıdalardan veya kanınızdan düzgün pıhtılaşmak için enerji almasına yardımcı olur. Beslenme Yönergelerini takip ederek, bu vitaminlerin çoğunu yiyeceklerden yeterince alacaksınız. Mineraller ayrıca vücudunuzun çalışmasına yardımcı olur.
Step-by-step explanation:
This is the best i could do...
help help help help guys show your solution and answer the question
Answer:
1) I just simply added the numerators because the denominators of both fractions are equal. As the denominators are same , I simply wrote 6 by taking the L.C.M of both denominators.
4)
[tex] \frac{5x - 3}{6} + \frac{x - 9}{6} [/tex]
[tex] = > \frac{5x - 3 + x - 9}{6} [/tex]
[tex] = > \frac{6x - 12}{6} [/tex]
Taking 6 common from numerator,
[tex] = > \frac{6(x - 2)}{6} [/tex]
Cancelling 6 from both numerator & denominator,
[tex] = > x - 2[/tex]
What is the percentage change ? 54 decreased to 32?
Answer:
21
Step-by-step explanation: