Answer:
We can see that:
a₀ = 4
a₁ = 4/3
a₂ = 4/9.
We easily can see that the n-th therm of this will be:
aₙ = 4/3^n.
Now, the denominator increases as n increases, then for a really large n, aₙ will tend asymptotically to zero. This means that this summation converges.
We can write this summation as:
4*∑(1/3)^n.
The sum for the first N-th therms is:
We know that for a summation:
1 + r + r^2 + r^3 + ... + r^N = (1 - r^(N + 1))/(1 - r)
4 + 4*(1/3) + 4*(1/3)^2 + ... + 4*(1/3)^N = 4*( 1 - (1/3)^(N + 1))/(1 - (1/3))
Now, for the complete sum we have that:
n = {0, 1, 2, ...}
We know that for a summation:
∑a*r^n
with n = {0, 1, ...}
the sum is = a/(1 + r).
in this case we have:
a = 4, r = 1/3.
Then the sum is:
S = 4/(1 - 1/3) = 4/(2/3) = 3*2 = 6
how much is twice the size if im 3 ft 7 in tall
Answer:
the answer is 7.1 inches tall
Round 2.1132 to the nearest hundredth.
Answer:
Answer:
2.11
Step-by-step explanation:
hope this helps :)
Answer:
It would be 2.1100
Step-by-step explanation:
Justin bought 12 souvenirs
during 6 days of vacation. How
many days will Justin have to
spend on vacation before he will
have bought a total of 20
souvenirs ?
Answer:
10
Step-by-step explanation:
a stone which is dropped into a dry well hits the bottom in 2.2s how deep is the well. take g=10m/s
Answer:
23.7m
Step-by-step explanation:
Given parameters:
Time taken = 2.2s
Acceleration due to gravity = 10m/s
Unknown:
Depth of the well = ?
Solution:
To solve this problem, we simply apply one of the motion equations;
S = ut + [tex]\frac{1}{2}[/tex] gt²
where S = depth of the well
u = initial velocity
t = time taken
g = acceleration due to gravity
Input the parameters and solve for S;
Note initial velocity = 0;
S = [tex]\frac{1}{2}[/tex] x 9.8 x 2.2²
S = 23.7m
8.032×10^-4 in standard form
Answer:
0.0008032
Step-by-step explanation:
Hope this helps!
Answer:
80,320
Step-by-step explanation:
Find the value of the power.
3 exponent 5
Answer:
243
Step-by-step explanation:
3*3*3*3*3=243
Answer:
243
Step-by-step explanation:
This need help jxb...
Answer:
That would be y = 2x.
How many different rays can be formed from five collinear points?
Answer:
eight
Step-by-step explanation:
There are eight different rays that can be formed from five collinear points.
What are the collinear points?Collinear points are defined as points that are along a straight line represented by a collinear. Because a straight line may be drawn continuously between any two points, they are always collinear.
If five points are collinear, it means they lie on a single straight line.
The number of rays is determined by n collinear points
In general, for n collinear points, there are 2(n−1) different rays.
As per the question, substitute the value of n = 5 for the above formula,
⇒ 2(5−1)
⇒ 2 x 4
⇒ 8
Thus, there are eight different rays can be formed from five collinear points.
Learn more about the collinear points here:
brainly.com/question/5191807
#SPJ2
Determine the ordered pair that satisfies the equation, -5x - 6y = -8.
Answer:
-2&-4
Step-by-step explanation:
-5x-6y=-8
it is a quadratic equation:
-5x-6y+8=0
(x-2)(x-4)
cross multiple and you'll get
-5x-6y+8=0
On October 1, 2018 stokes company paid Eastport Reynolds $4800 for a 12 month lease, deferal
Answer:
phototmathbdbdjsknaisjdbxiehevdixjbwjwosjznaksojxbwjs
Increased by 175%, the number of 24 becomes what?
Answer:
66
Step-by-step explanation:
increase the number by 175% of its value.
percentage increase = 175% × 24
new value =
24 + percentage increase =
24 + (175% × 24) =
24 + 175% × 24 =
(1 + 175%) × 24 =
(100% + 175%) × 24 =
275% × 24 =
275 ÷ 100 × 24 =
275 × 24 ÷ 100 =
6,600 ÷ 100 =
66
which number is the same as 0.000 000 1: 10^7 or 10^-7
Answer:
= 1 × 10^-7
(scientific notation)
= 1e-7
(scientific e notation)
= 100 × 10^-9
(engineering notation)
(billionth; prefix nano- (n))
= 0.0000001
(real number)
Step-by-step explanation:
10^7 = 10000000
Is the square root of 14 +6.2 less than 3 pi - 8.2?
Answer:
No. √14 + 6.2 is more than 3π - 8.2
Step-by-step explanation:
√14 + 6.2
√20.2
≈ 4.494
π ≈ 3.14159
3(3.14159) - 8.2
9.42577 - 8.2
1.22477
Therefore, the answer is no.
which number line and expression show how to find the distance from -4 to 1?
Answer:
the correct answer is C
Graph the line y=−3x+b if it is known that the graph goes through point:
A(−2, 4)
2-1= plz help me i need help
Answer:
1 :)
Step-by-step explanation:
The graph of which of the following equations is parallel to the graph of 9x +y = 2?
Answer:slope~9
Y intercept (0,2)
X. Y
0. 2
2/9 0
Step-by-step explanation:
The graph displays the function g(x) = Equals 2 cosine (x + StartFraction pi Over 2 EndFraction) minus 2.
Which function h(x) results when g(x) is translated StartFraction 7 pi Over 8 EndFraction units right and 1 unit down?
h (x) = 2 cosine (x minus StartFraction 3 pi Over 8 EndFraction) minus 1
h (x) = 2 cosine (x minus StartFraction 3 pi Over 8 EndFraction) minus 3
h (x) = 2 cosine (x + StartFraction 11 pi Over 8 EndFraction) minus 1
h (x) = 2 cosine (x + StartFraction 11 pi Over 8 EndFraction) minus 3
On a coordinate plane, a function has a maximum of 0 and minimum of negative 4. It completes one period at 2 pi. It decreases through the y-axis at (0, negative 2).
Answer:
its b on edge 2021
Step-by-step explanation:
The required function h(x) is [tex]h (x) = 2 cos (x + \frac{11\pi }{8} ) - 3[/tex] . Option d is correct.
Function g(x) = [tex]2 cos (x +\frac{\pi }{2} )- 2[/tex]
Equation which includes trigonometric operators eg sin, cos.. etc.. In algebraic processes.
Here, the phase of the curve is increase by 7π/8.
So the phase = π/2 + 7π/8
= 11 π/8
And Shift of curve along y axis is by -1.
So, the total shift = -2-1
= -3
⇒ h(x) = [tex]2 cos (x + \frac{11\pi }{8} ) - 3[/tex]
Thus, h(x) = [tex]2 cos (x + \frac{11\pi }{8} ) - 3[/tex].
Learn more about trigonometry equations here:
brainly.com/question/22624805
#SPJ2
12x+8y=28 in slope intercept form
Answer:
Step-by-step explanation:
y = − 3 /2 x + 7/ 2
Step-by-step explanation:
The given expression is:
12x + 8y = 28
Problem;
Express in slope-intercept format;
Solution:
The equation of a straight line is given as;
y = mx + c
where y is the y-coordinate
m is the slope
x is the x-coordinate
c is the intercept
To solve this problem simply express the given equation as that of a straight line.
12x + 8y = 28 in the form y = mx + c
12x + 8y = 28
take 12x to the other side;
8y = 28 - 12x
divide by 8 to isolate the y;
[tex]\frac{8y}{8} = \frac{28}{8} - \frac{12x}{8}[/tex]
y = [tex]\frac{7}{2} - \frac{3x}{2}[/tex]
Re-arranging gives;
y = [tex]\frac{-3x}{2} + \frac{7}{2}[/tex]
This is the slope-intercept form.
what are the slopes of the two lines?
Step-by-step explanation:
The slopes of two lines are equal
what is the value of the Expression below
Your answer is -2 (aka option b that would be)
Find the standard deviation of the following data. Round your answer to one decimal place. x 00 11 22 33 44 55 P(X
Complete question :
Find the standard deviation of the following data. Round your answer to one decimal place.
X: 0 1 2 3 4 5
P(X) : 0.2, 0.3, 0.1, 0.1, 0.1, 0.2
Answer:
1.833
Step-by-step explanation:
Given the data :
X: 0 1 2 3 4 5
P(X) : 0.2, 0.3, 0.1, 0.1, 0.1, 0.2
Standard deviation (s) = Sqrt[Σx²*f(x) - E(x)²]
E(x) = (0*0.2) + (1*0.3)+(2*0.1)+(3*0.1) + (4*0.1) + (5 * 0.2) = 2.2
Sqrt[Σx²*f(x) - E(x)²]: [(0^2 * 0.2)+(1^2 * 0.3)+(2^2 * 0.1)+(3^2 * 0.1) + (4^2 * 0.1) + (5^2 * 0.2)] - 2.2²
Sqrt(8.2 - 4.84) = 1.833
5/680 long divison explanation
The R.D. Wilson Company makes a soft drink dispensing machine that allows customers to get soft drinks from the machine in a cup with ice. When the machine is running properly, the average number of fluid ounces in the cup should be 14. Periodically the machines need to be tested to make sure that they have not gone out of adjustment. To do this, six cups are filled by the machine and a technician carefully measures the volume in each cup. In one such test, the following data were observed:_______.
14.25 13.7 14.02
14.13 13.99 14.0
Based on these sample data,which of the following is true if the significance level is .05?
A) No conclusion can be reached about the status of the machine based on a sample size of only six cups.
B) The null hypothesis cannot be rejected since the test statistic is approximately t = .29,which is not in the rejection region.
C) The null hypothesis can be rejected since the sample mean is greater than 14.
D) The null can be rejected because the majority of the sample values exceed 14.
Answer:
The null hypothesis cannot be rejected since the test statistic is approximately t = .20,which is not in the rejection region.
Step-by-step explanation:
Data: 14.25, 13.7, 14.02, 14.13, 13.99, 14.0
Mean = [tex]\frac{Sum}{n}=14.015[/tex]
Standard deviation =[tex]\sqrt{\frac{\sum(x-\bar{x})^2}{n}}=0.1836[/tex]
Claim : Average number of fluid ounces in the cup should be 14.
Null hypothesis : [tex]H_0:\mu = 14[/tex]
Alternate hypothesis :[tex]H_a:\mu \neq 14[/tex]
n = 6
[tex]t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}\\t=\frac{14.015-14}{\frac{0.1836}{\sqrt{6}}}\\t=0.20\\\alpha = 0.05t_{df,\alpha}=t_{(5,0.05)}=2.571[/tex]
t critical > t calculated
So, we failed to reject null hypothesis
So, Option B is true
Hence The null hypothesis cannot be rejected since the test statistic is approximately t = .20,which is not in the rejection region.
If y = –4 when x = 10, find y when x = 5.
Answer:
y=2
Step-by-step explanation:
y/x = k
Given y =4, x = 10 , It can be expressed as the ratio is 4/10. We set the other as y/5. By the definition two ratios are equal. 4/10 = y/5 . Multiply to each side by 5. 4/10*5 = y/5*5 . 20/10 = y
y = 2
Answer: y=2
Step-by-step explanation: If 10=4, then 5 equals 4 divided by 2, which equals 2.
Hopefully this helped! :D
Snail moves 6 inches in 120 minutes. What was average speed of snail in inches per minute
Answer:
.2 inches a min.
Step-by-step explanation:
Answer:
0.05
Step-by-step explanation:
6 divided by 120 = 0.05
Hope this helps☺️
Carl wrote three numbers between 0.47 and 0.48 What numbers did Carl write?
Answer:
Three examples are 0.471, 0.472, 0.473.
Always remember there are more than 2 place values in decimals! Do not be afraid to extend it. Have a nice day and mark brainliest if possible :)
i mark as brainliest
Answer:
the third one
Step-by-step explanation:
if im wrong you don't have to mark as braniest
There are 8 dinner rolls in a package.
How many packages will be needed to feed 100 people if each person has 2 dinner rolls? Enter the correct answer to complete the statement.
They will need
packages.
Answer: 25 packages
Step-by-step explanation: 100x2=200 / 200/8=25
Answer:
100x2 = 200 dinner rolls
200 ÷ 8 = 25 packages
Determine whether the following probabilities are best categorized as subjective, empirical, or classical probabilities.
a. Before flipping a fair coin, Sunil assesses that he has a 50% chance of obtaining tails. Subjective probability Empirical probability Classical probability
b. At the beginning of the semester, John believes he has a 90% chance of receiving straight A’s. Subjective probability Empirical probability Classical probability
c. A political reporter announces that there is a 46% chance that the next person to come out of the conference room will be a Republican, since there are 80 Republicans and 93 Democrats in the room. Subjective probability Empirical probability Classical probability
a) Classical. This is because there are 2 sides and 1/2 = 0.50 = 50% is the chance of landing on tails. Classical probability is also known as theoretical probability.
b) Subjective. This is based off John's belief and his gut feeling. There doesn't seem to be any empirical data to back him up, unless he's looking back at previous semesters.
c) Empirical. When you have a finite set of data and you compute the probability based on it like what we're doing here, we're computing empirical probability. Another example would be that if you flipped a coin 30 times and got 17 heads, then the empirical probability of getting heads is 17/30 = 0.5667 approximately. Note how this is slightly different from the theoretical probability 0.50