Answer:
zero
Step-by-step explanation:
A bouncy ball is dropped such that the height of its first bounce is 6.5 feet and each successive bounce is 78% of the previous bounce's height. What would be the height of the 10th bounce of the ball? Round to the nearest tenth (if necessary).
Answer:
Approximately \(0.7\; {\rm ft}\).
Step-by-step explanation:
If the current bounce is of height \(h\; {\rm ft}\), the next bounce would be of height \((78\%\, h)\; {\rm ft}\), which is equal to \((0.78\, h)\; {\rm ft}\).
It is given that the first bounce is of height \(6.5\; {\rm ft}\). Relative to this first bounce:
The \(n = 2\) bounce is dampened \((2 - 1) = 1\) time. The height of this bounce would be \(((0.78)\, 6.5)\; {\rm ft} = ((0.78)^{2 - 1} \, 6.5)\; {\rm ft}\).The \(n = 3\) bounce is dampened \((3 - 1) = 2\) times. The height of this bounce would be \((0.78)\, ((0.78)\, 6.5)\; {\rm ft} = ((0.78)^{3 - 1} \, 6.5)\: {\rm ft}\).In general, the \(n\)th bounce would have been dampened \((n - 1)\) times. The height of that bounce would be \(((0.78)^{n - 1}\, 6.5)\; {\rm ft}\).
Thus, the \(10\)th bounce would have been dampened \((10 - 1) = 9\) times. The height of that bounce would be \(((0.78)^{10 - 1} \, 6.5)\; {\rm ft} \approx 0.7\; {\rm ft}\) (rounded to the nearest tenth, one digit after the decimal point.)
8x+2y=16
Slope intercept form
Answer:
2y = -8x +16
y= -4x+
Step-by-step explanation:
Answer:
y = -4x + 8
Step-by-step explanation:
Formula we use,
→ y = mx + b
Conversion into slope-intercept form,
→ 8x + 2y = 16
→ 2y = -8x + 16
→ y = (-8x + 16)/2
→ y = -4x + 8
Hence, the answer is y = -4x + 8.
Apples are $1.99per pound you need 3 1/4 pound to make apple crisp how much will you spend on apples in total
Answer:
1.99/1 pound = x/3.25 pound (3 1/4 =3.25)
Cross multiply
X=(1.99)(3.25)=$6.47
Step-by-step explanation:
ANSWER THIS FOR BRAINLIST If my food bill is $13.83 and I left a 2 dollar tip and also payed with a 20 dollar bill how much change would I recive
Answer:
$$$$4.17
Step-by-step explanation:
20-13.83=6,17
6.17-2=4.17
Answer:
$4.17
Step-by-step explanation:
$13.83+ tip ($2.00)=$15.83
$20.00-$15.83=$4.17
what is the radius of a right circular cylinder with a volume of 12 in3 if it has a minimum surface area?
The value of radius of a right circular cylinder is 1,248 in for which the minimum surface area is obtained.
Define right circular cylinder?A cylinder with two circular bases and a line connecting their centers that is perpendicular to both bases.Volume of the right circular cylinder be;
v(c) = 12 in³ = π*r²*h
In which, h is the height of the cylinder,
Then , h = 12 / π*r²
Surface area of a right circular cylinder is:
S = area of base and top + lateral area
S(A) = 2*π*r² + 2*π*r*h ....eq 1
Put value of 'h' in equation (1)
S(r) = 2*π*r² + 2*π*r* ( 12 / π*r²)
S(r) = 2*π*r² + 24 /r
Differentiate both sides,
S´(r) = 4*π*r - 24 /r²
Put , S´(r) = 0 to get the critical points.
4*π*r - 24 /r² = 0
π*r - 6/r² = 0
π*r³ - 6 = 0
r³ = 1,91
r = 1,248 in
Check for the minimum surface area for r = 1,248 in.
Find the second derivative,
S´´(r) = 4*π + 48/r³
S´´(r) will always be positive.
Thus, the minimum surface area S is for r = 1,248 in.
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The researcher meets with one participant and asks a series of pre-determined questions using a topic guide. What type of qualitative data collection is this
The qualitative data collection method described, where the researcher meets with one participant and asks pre-determined questions using a topic guide, is commonly known as an "interview." Interviews are a form of qualitative data collection where the researcher engages in a direct conversation with the participant to gather information and insights related to the research topic. The questions are typically structured or semi-structured, allowing for flexibility and deeper exploration of the participant's experiences, perspectives, and opinions.
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What do YOU think about LOVE?
Answer: it amazing
Step-by-step explanation:
a rare coin is currently worth $450. the value of the coin increases 4% each year. determine the value of the coin after 7 years.
Answer:310.45
Step-by-step explanation:
pie charts are most effective with ten or fewer slices.
Answer:
True
Step-by-step explanation:
When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.
the graph below shows the growth of three samples of the different bacteria on petri dishes incubated over 24 hours as temperature was increased 10 degrees every eight hours: graph of bacteria counts at different temperatures shows 5 bacteria per cm squared at 20, 30 and 40 degrees celsius for sample 1; shows 2 bacteria per cm squared at 20, 4 bacteria per cm squared at 30 degrees celsius, and 7 bacteria per cm squared for at 40 degrees celsius for sample 2; shows 3 bacteria per cm squared at 20, 8 bacteria per cm squared at 30 degrees celsius, and 12 bacteria per cm squared for at 40 degrees celsius sample 3. which statement best explains the data trend observed in the bacteria samples?
The correct answer is option b) Bacteria in samples 2 and 3 mutated quickly to adjust to temperature change.
From the given graph it is seen that sample 1 is not showing any growth or decline despite of the temperature change. One cannot ascertain its gene expression. On the other hand, Sample 2 shows a slight change from 4cm² to 7cm² bacteria count and Sample 3 shows a wide change as per temperature change from 8cm² to 12cm². Hence it can be said that samples 2 and 3 mutated to adjust to the temperature compared to sample 1 which showed no changes.
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Complete Question
the graph below shows the growth of three samples of the different bacteria on Petri dishes incubated over 24 hours as the temperature was increased 10 degrees every eight hours: (Graph in the figure attachment) which statement best explains the data trend observed in the bacteria samples?
a) All bacteria samples grow better at higher temperatures.
b) Bacteria in samples 2 and 3 mutated quickly to adjust to temperature change.
c) Temperature changes do not affect gene expression for growth in sample 1.
d) Bacteria in sample 1 will eventually die out at higher temperatures.
Line m is perpendicular to x − 2y = −1 and passes through (9, 2). What is the slope of line m?
Answer:
7
Step-by-step explanation:
Need help !
Is it linear , quadratic, exponential
Answer:
Exponential
Step-by-step explanation:
So lets look at the table.
When x = 1, y = 3
When x = 2, y = 9.
Hmmm, this doenst seem like x+number=y. It doesnt seem like a quadratic, where the values go up, then down, then up again. Or vise versa.
So this rules out linear and quadratic, for the x doesnt change by a constant, or change the direction of y.
This leaves exponential or none of the above.
When x = 3, y = 27
When x = 4, y = 81
This seems like a exponent, since:
3 to the first power is 3
3 to the second power is 9
3 to the third power is 27
and 3 to the fourth power is 81
Answer:
exponential function
Hope this helps! ;)
can someone pls help
The required area of the parallelogram and pentagon is 91 unit² and 75 unit².
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram = 13 × 7 = 91 unit²
Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
= 5 [1/2 × 5 × 6]
= 75 suqare units.
Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².
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Irma measured the floor of her storage unit, which is rectangular. It is 5 feet wide and 13 feet from one corner to the opposite corner. How long is the storage unit?
According to given information, the length of the rectangular storage unit is 12 feet.
What is rectangle?
A rectangle is a two-dimensional shape with four sides and four right angles. It is a quadrilateral with opposite sides that are parallel and equal in length.
We can use the Pythagorean theorem to find the length of the storage unit. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the 5-foot-wide floor and the length of the storage unit form the two sides of a right triangle, with the diagonal (the distance from one corner to the opposite corner) being the hypotenuse. We can set up the equation as:
\(hypotenuse^2 = side1^2 + side2^2\)
where side1 = 5 feet and hypotenuse = 13 feet.
Simplifying this equation, we get:
\(hypotenuse^2\)\(= 5^2 + side2^2\)
169 = 25 + \(side2^2\)
\(side2^2\) = 144
side2 = 12
Therefore, the length of the storage unit is 12 feet.
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Match the name of the individual to a description of his
accomplishment.
___________oil production
___________steel
manufacturing
___________mechanized
production of clothing
___________expanded
industrialization to
continental Europe
A. William
Cockerill
B. Andrew
Carnegie
C. John D.
Rockefeller
D. Francis Cabot
Lowell
Answer:
Answer:
oil production: John d Rockefeller
steel manufacturing: Andrew Carnegie
Clothing: william cockerill
industrializatuon expansion: Frances Cabot Lowell
Step-by-step explanation:
Use the formula to find the surface area of the figure. Show your work.
so we know the diameter is 11.4, that means its radius is half that, or 5.7.
\(\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5.7\\ h=14.2 \end{cases}\implies SA=2\pi (5.7)(14.2+5.7) \\\\\\ SA=11.4\pi (19.9)\implies SA=226.86\pi \implies SA\approx 712.70~in^2\)
someone pls complete this. I will give brainliest
The values of the variables are:
1.
a = 14.69
b = 20.22
2.
p = 11.28
q = 4.08
3.
x = 18.25
y = 17
4.
a = 9
b = 16.67
We have,
1.
Sin 36 = a / 25
0.59 = a/25
a = 0.59 x 25
a = 14.69
Cos 36 = b / 25
0.81 = b / 25
b = 0.81 x 25
b = 20.22
2.
Sin 20 = q / 12
0.34 = q / 12
q = 0.34 x 12
q = 4.08
Cos 20 = p / 12
0.94 = p / 12
p = 0.94 x 12
p = 11.28
3.
Sin 43 = y/25
0.68 = y / 25
y = 0.68 x 25
y = 17
Cos 43 = x/25
0.73 = x / 25
x = 0.73 x 25
x = 18.25
4.
Sin 57 = 14 / b
0.84 = 14 / b
b = 14 / 0.84
b = 16.67
Cos 57 = a / b
0.54 = a / 16.67
a = 0.54 x 16.67
a = 9
Thus,
The values of the variables are:
1.
a = 14.69
b = 20.22
2.
p = 11.28
q = 4.08
3.
x = 18.25
y = 17
4.
a = 9
b = 16.67
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[1/3 Points) DETAILS PREVIOUS ANSWERS Find the Nth partial sum of the infinite series and evaluate its limit to determine whether the series converges or diverges. 1 Σ. n +7 + SN - X converges O diverges If the series is convergent, find its sum. (If an answer does not exist, enter DNE.)
The series diverges, and there is no sum for this series.
How to find out the sum for this series?To find the Nth partial sum of the infinite series and evaluate its limit, we first need to analyze the given series. The series is represented as:
Σ (1 / (n + 7))
To determine whether the series converges or diverges, we can use the Comparison Test. Let's compare the given series with another series, 1/n. Since 1/n is a harmonic series and it diverges, if our given series also diverges, it must satisfy the inequality:
1 / (n + 7) >= 1 / n
Now, let's find the Nth partial sum (S_N) and evaluate its limit:
Step 1: Write the general term of the series:
a_n = 1 / (n + 7)
Step 2: Find the Nth partial sum S_N:
S_N = Σ (1 / (n + 7)) from n=1 to N
Step 3: Evaluate the limit of S_N as N approaches infinity:
lim (S_N) as N -> ∞
Since 1 / (n + 7) >= 1 / n, the limit of S_N as N approaches infinity will also be infinity. Therefore, the series diverges, and there is no sum for this series. If the series were convergent, we would be able to find its sum, but since it diverges, the answer is DNE (Does Not Exist).
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Based on the latest U. S. Census count, only 48. 0% of Alaskans are female while 51. 7% of Rhode Islanders are
female.
What is the probability that randomly chosen samples of 50 residents from each of the two states would show a
larger proportion of women in Alaska than in Rhode Island?
So, The probability that randomly chosen Sample of so residents from each of the two states. The proportion of women in Alaska logger than in Rhodes island is 0.3556.
Given that based on the latest U.S census Count, only 48% of Alaskans are females white 51.7% of Rhode islanders are female.
Let x denote the females in Alaska and y denote the females in Rhode island.
Since, 48% Alaskans ore females.
So, P(x)=0.48
And 51.7 \% of Rhode islanders are females
So, P(y)=0.517.
Now, randomly chosen sample of so residents
from each of the two states.
Now, randomly chosen sample of residents from each of the two states.
So, \(x \sim\) {Binomial}(50 , 0.48)
Ana, \(y \sim\) Binomial (50, 0.517 )
E(x)=50 * 0.48=24
E(y)=50 * 0.517=25.85
V or (x)=50 * 0.48(1-0.48)=12.48
\(Voo_0\)(y)=50 * 0.57(1-0.517)=12.4856
Now, we have to find the probability that the proportion of women in Alaska is larger than in Rhode island.
i.e,
\(P(x > y) \\= P(x-y > 0)\)
Using normal approximation
\($$=p\left[z > \frac{0-(24-25.85)}{\sqrt{12.48-12.4856}}\right]$$\)
\(=P(z > 0.3703) \quad[\text { where } z \sim N(0,1)] \\ =0.3556 \quad \text { (from } z \text { table) }\)
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What are the four conditions necessary for X to have a Binomial Distribution? Mark all that apply.
a. There are n set trials.
b. The trials must be independent.
c. Continue sampling until you get a success.
d. There can only be two outcomes, a success and a failure
e. You must have at least 10 successes and 10 failures
f. The population must be at least 10x larger than the sample. T
g. he probability of success, p, is constant from trial to trial
Options a, b, d, and g are the correct conditions for a Binomial Distribution.
The four conditions necessary for X to have a Binomial Distribution are:
a. There are n set trials: In a binomial distribution, the number of trials, denoted as "n," must be predetermined and fixed. Each trial is independent and represents a discrete event.
b. The trials must be independent: The outcomes of each trial must be independent of each other. This means that the outcome of one trial does not influence or affect the outcome of any other trial. The independence assumption ensures that the probability of success remains constant across all trials.
d. There can only be two outcomes, a success and a failure: In a binomial distribution, each trial can have only two possible outcomes. These outcomes are typically labeled as "success" and "failure," although they can represent any two mutually exclusive events. The probability of success is denoted as "p," and the probability of failure is denoted as "q," where q = 1 - p.
g. The probability of success, p, is constant from trial to trial: In a binomial distribution, the probability of success (p) remains constant throughout all trials. This means that the likelihood of the desired outcome occurring remains the same for each trial. The constant probability ensures consistency in the distribution.
The remaining options, c, e, and f, are not conditions necessary for a binomial distribution. Option c, "Continue sampling until you get a success," suggests a different type of distribution where the number of trials is not predetermined. Options e and f, "You must have at least 10 successes and 10 failures" and "The population must be at least 10x larger than the sample," are not specific conditions for a binomial distribution. The number of successes or failures and the size of the population relative to the sample size are not inherent requirements for a binomial distribution.
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we can extend our defintion of the average value over a continous function to an infinite interval by defining the average value f on the interval [0, infinity) to be
We can extend our definition of the average value over a continuous function to an infinite interval by defining the average value f on the interval [0, ∞) to be \(\lim_{t \to \infty}\frac{1}{t-a}\int\limits^t_a {f(x)\\} \, dx\) .
The definition of the average value of a continuous function f(x) can be expanded to include the infinitely long interval [a,∞] as follows:
\(\lim_{t \to \infty}\frac{1}{t-a}\int\limits^t_a {f(x)\\} \, dx\)
Let's assume that f(x) is any continuous function. Assume that the integral \(\int\limits^i_0 {f(x)} \, dx\) is divergent and that f(x)≥0 in the range [a,∞].
Show that, if this limit exists, \(f_{ave} = \lim_{x \to \infty} f(x)\) .
Hence, We can extend our definition of the average value over a continuous function to an infinite interval by defining the average value f on the interval [0, ∞) to be \(\lim_{t \to \infty}\frac{1}{t-a}\int\limits^t_a {f(x)\\} \, dx\) .
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Find 80% of 14,236.
Enter the correct answer in the box.
Answer:
Step-by-step explanation:
11388.8
Hope it helped you.
Please mark me brainliest.
Answer:
11388.8
Step-by-step explanation:
plz brainliestt
Circle O has a radius of 12.
Find the area of the shaded region rounded to the nearest whole number.
Answer:
~ 340
Step-by-step explanation:
A = pi * r^2
The big circle is r1 = 12cm so the small r2=6cm
A= A1 - A2 = (pi * r1^2)-( pi*r2^2) = 339,29 ~ 340 square cm
If the radius of the small circle is 12cm then: r1 = 24cm and r2 = 12cm and calculate it the same way
How many sides do 2 decagons and 5 hexagons have in all?
Answer: 50 sides
Step-by-step explanation:
a decagon has 10 sides and 2 decagons have 20 sides total
a hexagon has 6 sides and 5 hexagons have 30 total
20 + 30 = 50
Therefore the answer is 50 sides
Simplify. Remove all perfect squares from inside the square root.
Answer:
2x²√13
Step-by-step explanation:
√52x⁴ = √4×13×x⁴ = 2x²√13
40 students and 24 staff members how many is on the same team with same number of students and staff
The number on same team with same number of students and staff is 8.
What is a factor?A factor of a number simply means a number that divides another number without having a reminder.
In this case, there are 40 students and 24 staff members. Therefore, to have same team, we have to find the highest common factor for the numbers.
The highest common factor for 24 and 40 will be:
24 = 2, 3, 4, 6, 8, 12 and 24
40 = 2, 4, 5, 8, 10, 20 and 40
The highest factor is 8 which is the correct answer regarding the question.
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helppp asap Given:
Prove: ΔKVM ~ ΔBVG
Triangle KVM is similar to triangle BVG because angle M = angle G = 90° and angle V is common to both triangles.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.
For two triangles to be similar, the corresponding angles must be congruent i.e equal.. Also the ratio of the corresponding sides of similar triangles are equal.
angle M and G are both 90° , this means they are equal.
angle KVM = BVG
therefore angle K = angle B
Since all the corresponding angles are equal, we can say triangle KVM is similar to triangle BVG
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1. Which of the following moving at the same speed, wouldbe hardest to stop?*
(12 points)
car
bus
Frisbee
stroller
Answer:
Bus
Step-by-step explanation:
If the bus has the most weight than the force it would edmit would be greater than any other
Math equations that equal 31
Pls help plsssssss thanks
Answer:
1. 99.33
2. 96