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.
===========================================================
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)
-----------------
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)
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
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.
I need help with this asap thank you
Answer:a
Step-by-step explanation:a
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
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 besties please flip the picture to see better
Answer:
E. C= 80+ 12n
Step-by-step explanation:
____________
increase 21 kobo by 35%
Answer:
28.35
Step-by-step explanation:
you can use mathswatch or hegarty maths to help u
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
What does 7 x 1/3 equal to
[tex]7 \times \frac{1}{3} \\ \\ = \frac{7 }{3} [/tex]
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
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
If w = 7a + 4b, which of the following equations is solved for a?
Answer: a= w - 4b/ 7
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).
convert 0.5kg to ounces
Answer:
17.6369809748oz
Step-by-step explanation:
hope this helps
Answer:
17.637
Step-by-step explanation:
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.
Solve the expression: x = 5, y = 8. x² - 3y =
Answer:
x^2-3y
5^2-3*8
25-24
1
Step-by-step explanation:
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]
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°
_______
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
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:
A jacket that normally sells for $160 is on sale for 25% off. What is the sale price of the jacket?
○ $40
○ $120
○ $135
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
Match the base to the corresponding height.
Base (b)
Height (h)
b
b
h
b
Answer: See the diagram below
=================================================
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.
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.
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)
Solve for the value of x. Round to the nearest tenth.
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.
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:
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 !