Answer: 1,953,125
This is one single value and it is just a bit under 2 million.
Or more accurately, it's a bit over 1.9 million.
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Explanation:
a = 5 = first termr = -5 = common ratioNote that dividing any term by its previous term gets us the common ratio
r = term2/term1 = -25/5 = -5r = term3/term2 = 125/(-5) = -5The r value must stay the same the entire time, or else the sequence isn't geometric.
The nth term of any geometric sequence is a*(r)^(n-1). With the 'a' and 'r' values we found, we update that to 5(-5)^(n-1)
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To verify that is the correct nth term expression, plug in various values of n to compare it with the given sequence.
If we tried n = 2 for instance, then we find the 2nd term is
5(-5)^(n-1) = 5(-5)^(2-1) = -25
which matches what your teacher gave you. I'll let you verify the other terms.
-----------------
The last thing we need to do is plug in n = 9 and simplify
5(-5)^(n-1)
5(-5)^(9-1)
5(-5)^8
5(390625)
1,953,125 this is one single value (rather than 3 separate values)
Can someone answer this?
Answer:
Step-by-step explanation:
6x-1+3x+5x+3+4x+8+5x+5=360 degree(sum of exterior angle of a pentagon is 360 degree)
23x+15=360
23x=360-15
x=345/23
x=15
therefore the value of x is 15 degree.
The graph shows the function f(x) = 2*
What is the value of x when f(x) = 4?
A. 3
B. 1
C. 2
D 0
Answer:
Step-by-step explanation:
2
GIVING OUT BRAINLIEST ANSWER PLSS HELP!
Answer:
It should be c
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The answer is A
Very few circles are congruent. Certainly if a circle has a radius of 8 and another one 2 city blocks away also has a radius of 8, both are congruent. But if one of them has a radius of 4 and the other a radius of 10, they are not congruent.
A does not have to be true.
Find the sum and product of zeroes of the quadratic polynomial 3x² + 5x-2.
Answer:
see first of all it is a quadratic polynomial so it will have 2 zero alpha and beta
now , we will find value of a , b, c
so,
a= 3
b= 5
c= -2
now, sum of the zeros ( alpha + beta) =-b/a
so,-5/3
now product of zeros (alpha *beta) = c/a
so, it will we -2/3
hope you get it !
increase 21 kobo by 35%
Answer:
28.35
Step-by-step explanation:
you can use mathswatch or hegarty maths to help u
Answer for brainlest
Answer:
see explanation
Step-by-step explanation:
∠ 4 and ∠ 6 are same- side interior angles and supplementary, sum to 180°
Step-by-step explanation:
[tex]angle \: 4 \: makes \: a \: c \: shape \: when \: refering \: it \: to \: angle \: 6 \: which \: is \: terefore \: a \: correspndin \: angle \: \\ \\ [/tex]
Help pls I’ll give extra points
Answer:
a
Step-by-step explanation:
you are correct it is a (decreases) when objects move farther away the strength of the force becomes less.
Solve for the value of x. Round to the nearest tenth.
A cellphone tower casts a shadow 30 feet
long at the same time that a man 6 feet tall
cast a shadow of 2.4 feet. How tall is the
cellphone tower?
Answer:
75ft
Step-by-step explanation:
if the shadow of a 6ft = 2.4ft
then the shadow of x=(30/2.4)×6=75
Which function is a translation of the parent absolute value function?
A: f(x) = 2/1
B. f(x) = |x+61
C. f(x) = x1
D. f(x) = -4/41
Answer:
B. f(x) = | x + 61 |
Step-by-step explanation:
An absolute value function is known by single vertical parenthesis demarcating the equation on both sides.
The only option with this indication is option B.
B. f(x) = | x + 61 |
This equation can be solved in two ways;
first; f(x) = - (x + 61)
second; f(x) = x + 61
I need help with this asap thank you
Answer:a
Step-by-step explanation:a
Graph y = -2 – 6.
could someone graph this on a khan academy number line?
Answer:
plot ur x,y coordinates as (0,-8) (1,-8)
If w = 7a + 4b, which of the following equations is solved for a?
Answer: a= w - 4b/ 7
Step-by-step explanation:
5/2x + 3 = 4/x x = -1 x = -4 x = 4
Answer:
x = 0.5
Step-by-step explanation:
[tex]\frac{5}{2x} +3=\frac{4}{x}[/tex]
[tex]2x(\frac{5}{2x} +3)=2x(\frac{4}{x})[/tex]
5 + 6x = 8
5 - 5 + 6x = 8 - 5
6x = 3
[tex]\frac{6x}{6} =\frac{3}{6}[/tex]
x = 0.5
Assume that females have pulse rates that are normally distributed with a mean of beats per minute and a standard deviation of beats per minute.
a. If 1 adult female is randomly selected, find the probability that her pulse rate is between beats per minute and beats per minute.
b. If 4 adult females are selected, find the probability that they have pulse rates with a mean between 68 beats per minute and 76 beats per minute.
c. Why can the normal distribution be used in heartbeat even the sample side does not exceed 30?
Answer:
a) This is the p-value of Z when X = A subtracted by the p-value of Z when X = B.
b) P-value of Z when X = 76 subtracted by the p-value of X = 68.
c) Because the underlying distribution(pulse rates of females) is normal.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex].
standard deviation of beats per minute.
a. If 1 adult female is randomly selected, find the probability that her pulse rate is between A beats per minute and B beats per minute.
This is the p-value of Z when X = A subtracted by the p-value of Z when X = B.
b. If 4 adult females are selected, find the probability that they have pulse rates with a mean between 68 beats per minute and 76 beats per minute.
Sample of 4 means that we have [tex]n = 4, s = \frac{\sigma}{\sqrt{4}} = 0.5\sigma[/tex]
The formula for the z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{X - \mu}{0.5\sigma}[/tex]
[tex]Z = 2\frac{X - \mu}{\sigma}[/tex]
This probability is the p-value of Z when X = 76 subtracted by the p-value of X = 68.
c. Why can the normal distribution be used in heartbeat even the sample side does not exceed 30?
Because the underlying distribution(pulse rates of females) is normal.
A factory is discharging pollution into a lake at the rate of r(t) tons per year given below, where t is the number of years that the factory has been in operation. Find the total amount of pollution discharged during the first 7 years of operation. (Round your answer to two decimal places.)
Answer:
The total amount of pollution discharged during the first 7 years of operation is 1.955 tons
Step-by-step explanation:
Given
[tex]r(t) = \frac{t}{t^2 + 1}[/tex]
Required
The total amount in the first 7 years
This implies that:
[tex]r(t) = \frac{t}{t^2 + 1}; [0,7][/tex]
The total amount is calculated by integrating r(t) i.e.
[tex]v = \int\limits^a_b {r(t)} \, dt[/tex]
So:
[tex]v = \int\limits^7_0 {\frac{t}{t^2 + 1}} \, dt[/tex]
--------------------------------------------------------------
We have:
[tex]t^2 + 1[/tex]
Differentiate
[tex]d(t^2 + 1) = 2t[/tex]
Rewrite as:
[tex]2t = d(t^2 + 1)[/tex]
Solve for t
[tex]t = \frac{1}{2}d(t^2 + 1)[/tex]
---------------------------------------------------------------------------
So:
Make t the subject
[tex]v = \int\limits^7_0 {\frac{t}{t^2 + 1}} \, dt[/tex]
[tex]v = \int\limits^7_0\frac{1}{2}* {\frac{d(t^2 + 1)}{t^2 + 1}} \, dt[/tex]
[tex]v = \frac{1}{2}\int\limits^7_0 {\frac{d(t^2 + 1)}{t^2 + 1}} \, dt[/tex]
Integrate
[tex]v = \frac{1}{2}\ln(t^2 +1)|\limits^7_0[/tex]
Expand
[tex]v = \frac{1}{2}[\ln(7^2 +1) - \ln(0^2 +1)][/tex]
[tex]v = \frac{1}{2}[\ln(50) - \ln(1)][/tex]
[tex]v = \frac{1}{2}[3.91 - 0][/tex]
[tex]v = \frac{1}{2}[3.91][/tex]
[tex]v = 1.955[/tex]
What does 7 x 1/3 equal to
[tex]7 \times \frac{1}{3} \\ \\ = \frac{7 }{3} [/tex]
find the measure of the exterior angle 1. with one angle is 50 degrees and 28 degrees
Answer:
D. 78°
Step-by-step explanation:
50°+28°= 78°
_______
My math assignment is due in 15 min pls help with this question
Answer:
1st quartile: 2.6
2nd quartile or median: 3.1
3rd quartile: 3.25
Step-by-step explanation:
please help ASAP will give brain list!
Answer:
Step-by-step explanation:
Look at the graph at the time given and determine how the line will continue based on its current trajectory;
A. T
B. S
C. 20 minutes
Help me plsssssssss :(
Answer:
I would love to help you but what am I helping with there is no question there other that "Help me plssssss"
Step-by-step explanation:
Solve the expression: x = 5, y = 8. x² - 3y =
Answer:
x^2-3y
5^2-3*8
25-24
1
Step-by-step explanation:
HELP ME PLEASE! 20 POINTS!
Answer:
1 no answer=1/100
2 no answer=1/100
3 no answer=100
Step-by-step explanation:
A coffee vending machine fills 100 cups of coffee before it has to be refilled. On a Monday, the mean number of ounces filled in a cup of coffee was 7.5. The machine is known to have a standard deviation in filling volume of 0.25 ounces. Find a 99% confidence interval for the mean number of ounces dispensed by this machine.
Answer:
The 99% confidence interval for the mean number of ounces dispensed by this machine is (7.44, 7.56).
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{0.25}{\sqrt{100}} = 0.06[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 7.5 - 0.06 = 7.44 ounces.
The upper end of the interval is the sample mean added to M. So it is 7.5 + 0.06 = 7.56 ounces.
The 99% confidence interval for the mean number of ounces dispensed by this machine is (7.44, 7.56).
Match the base to the corresponding height.
Base (b)
Height (h)
b
b
h
b
Answer: See the diagram below
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Explanation:
The base is always perpendicular to the height, meaning the two form a 90 degree angle (aka right angle).
In column 1, refer to the figures as 1, 2 and 3 (working top to bottom).
In column 2, refer to the figures as A, B, C
Figure 1 matches with figure B
Figure 2 matches with figure C
Figure 3 matches with figure A.
These matches are of course the base with the proper height.
Help besties please flip the picture to see better
Answer:
E. C= 80+ 12n
Step-by-step explanation:
____________
convert 0.5kg to ounces
Answer:
17.6369809748oz
Step-by-step explanation:
hope this helps
Answer:
17.637
Step-by-step explanation:
Calculate the gradient of the line 2y =8x+4
Answer:
m=4
2y/2=y
8x/2=4x
4/2=2
so
y=4x+4
any one got reddit
mine is u/RealAd8482
I use to have reddit sorry
Answer:
Yes
Step-by-step explanation:
Mines is u/Brown_Bear17
A jacket that normally sells for $160 is on sale for 25% off. What is the sale price of the jacket?
○ $40
○ $120
○ $135