what is the 101st term for the sequence 13, 9, 5, 1... ?
Step-by-step explanation:
a=13d=13-9=4[tex]{:}\longrightarrow[/tex][tex]\sf S_n={\dfrac {n}{2}}\left [2a-(a-1)d\right][/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf S_101={\dfrac {101}{2}}\left [26 (12)4\right] [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 50.5×1248 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf S_101=63504[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf a_n=a+(n-1)d [/tex][tex]{:}\longrightarrow[/tex][tex]\sf a_101=13+(101-1)-4 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf a_101=13+100(-4)[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 13-400 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf a_101=-387 [/tex]
How do you do this question?
Answer:
(a) >, decreasing
(b) 0, horizontal
Step-by-step explanation:
(a) dy/dt = eᵗ (y − 1)²
eᵗ is always positive, and (y − 1)² is always positive. So dy/dt is always positive. Meaning the graph of the solution can never be decreasing.
(b) When y = 1, dy/dt = e¹ (1 − 1)² = 0. However, this graph does not have a horizontal tangent line at y=1, so this is not the solution of the differential equation.
2. What number is equal to five units + three tenths? Circle the correct answer.
0.53
0.35
5.3
3.5
53
35
Answer:
35
Step-by-step explanation:
5*1+3*10
5+30 = 35
How can I figure out my screentime password.
100 points to whoever can tell me exactly how to do it and maybe even brainless if it works and it has to be an actual answer not just a random one!!!
Answer:
Screen record as your parent puts the password in or wipe off your screen and give the parent your phone to put the password in then look at the fingerprint circles and that where each number is, then try all the possible combinations
Step-by-step explanation:
I NEED THE ANSWER QUICK
9514 1404 393
Answer:
4^0
Step-by-step explanation:
The rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
So, your expression simplifies to ...
[tex]4^5\times4^{-7}\div4^{-2}=4^{5-7-(-2)}=\boxed{4^0}[/tex]
Please help I’ll mark brainliest if u give a small explanation!!!
Answer:
ut is a if you add 5 plus 4 it makes 9 do not add the 8
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
Find the slope of the line that passes through the points (–2, 4) and (5, 4).
Answer:
slope is 0
Step-by-step explanation:
Answer:
slope is 0
Step-by-step explanation:
I used another app to find the awnser for you
Suppose you and your colleagues have identified three reliable and recent polls. Looking at the results of all three, you find their p-values to be: 0.058 0.026 0.045 Barring any major incidents between now and election day, how much evidence do you have to predict your candidate will win the election
Answer:
The answer is "Pretty confident our candidate will win".
Step-by-step explanation:
All the following theories:
[tex]H_o[/tex]: The loss of our candidate
[tex]H_a[/tex]: Our candidate
P values of 0.058, 0.026 and 0.045 are defined.
All values are below 0.10, but 2 of them will be below 0.05, which indicates very good proof of Ha. Therefore, the right reply is that our candidate will win very comfortably.
Given the cos(θ) = 5/13 the ratio for sine of θ is
. Enter your answer as a fraction.
Find the area of the circle
Please need help thank
Answer:
35 balloons
Step-by-step explanation:
If wrong srry...hope this helps
Answer:
35 bunches
Step-by-step explanation:
25*7=175 balloons
5 balloons in each bunch=175/5
=35
Please help me!!!!!
Answer:
The answer is A.
Step-by-step explanation:
The ratio is 1 second/2 centimeters, but since they're asking for a unit ratio, you need to divide the top and bottom by 2 which gives you a unit ratio of ½ second/1 centimeter.
Answer:
Perhaps, B or A
Step-by-step explanation:
Which ordered pair would form a proportional relationship with the point graphed below?
(10.-20)
(-30, 20)
(-10,5)
(35, -20
Hailey is going to use a computer at a Internet cafe. The cafe charges $1.50 for every minute using a computer on top of an initial charge of $4. Make a table of values and then write an equation for C, in terms of t, representing the total cost of using a computer for t minutes at the Internet cafe.
Answer:
The equation is C(t) = 1.50t + 4.00 and the data table is below.
Step-by-step explanation:
We are given that a cafe charges $1.50 for every minute that someone uses the internet. The cafe also charges an initial $4 fee to use the internet.
We need to find a function, in terms of t, that will find these values.
We can treat this as a linear equation. If we initially pay $4, this is acquired before we pay the fee every minute. Therefore, this would be our y-intercept at x = 0. Our first coordinate is (0, 4).
Secondly, if we are charged every minute, this would be a recurring payment and therefore we would spend $1.50 after each minute elapses. This gives us our slope: 1.50 or [tex]\frac{3}{2}[/tex].
Therefore, we can set up our function.
C is the total cost and t is the time, in minutes, that internet is used at the cafe. Our equation can be set up as [tex]C(t) = 1.50t + 4.00[/tex].
Now, we can create a table of values for t = 0 to t = 5 to determine what C(t) is at each of these prime intervals.
[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{C} & \textbf{t} \\ \cline{1-2} a & 0 \\ \cline{1-2} b & 1 \\ \cline{1-2} c & 2 \\ \cline{1-2} d & 3 \\ \cline{1-2} e & 4 \\ \cline{1-2} f & 5 \\ \cline{1-2} \end{array}[/tex]
This is what our table looks like, but we need to fill the C column. Therefore, we can use substitution of our t-values into the equation and solve for C.
[tex]\bullet \ \text{For t = 0,}[/tex]
[tex]C(0) = 1.50(0) + 4\\\\C(0) = 0 + 4\\\\C(0) = 4.00[/tex]
[tex]\bullet \ \text{For t = 1,}[/tex]
[tex]C(1) = 1.50(1) +4\\\\C(1) = 1.50 + 4\\\\C(1) = 5.50[/tex]
[tex]\bullet \ \text{For t = 2,}[/tex]
[tex]C(2) = 1.50(2) + 4\\\\C(2) = 3.00 + 4\\\\C(2) = 7.00[/tex]
[tex]\bullet \ \text{For t = 3,}[/tex]
[tex]C(3) = 1.50(3) + 4\\\\C(3) = 4.50 + 4\\\\C(3) = 8.50[/tex]
[tex]\bullet \ \text{For t = 4,}[/tex]
[tex]C(4) = 1.50(4) + 4\\\\C(4) = 6.00 + 4\\\\C(4) = 10.00[/tex]
[tex]\bullet \ \text{For t = 5,}[/tex]
[tex]C(5) = 1.50(5) + 4\\\\C(5) = 7.50 + 4\\\\C(5) = 11.50[/tex]
Now, we can insert these values into our table.
[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{C} & \textbf{t} \\ \cline{1-2} 4.00 & 0 \\ \cline{1-2} 5.50 & 1 \\ \cline{1-2} 7.00 & 2 \\ \cline{1-2} 8.50 & 3 \\ \cline{1-2} 10.00 & 4 \\ \cline{1-2} 11.50 & 5 \\ \cline{1-2} \end{array}[/tex]
Therefore, our equation is C(t) = 1.50t + 4.00 and our data table is above.
Which of the following graphs shows the set of points that represents the number of hours that Leah
can work in order to earn at least $120 and not work more than 20 hours per month?
Answer:
I think it’s A,C, and E
Step-by-step explanation:
I’m not for sure but if you plot those points in the shaded region for graph C, those should be correct .
An item on sale cost 35%of the original price. The original price was $25. What was the sale price?
[tex]{\underline{\pink{\textsf{\textbf{ Answer : }}}}}[/tex]
➩ $33.75
[tex]{\underline{\purple{\textsf{\textbf{ Explanation : }}}}}[/tex]
Original price of the item is $25
As it told that it costs 35% of the original price
Therefore
➡ $25 + (35% of 25)
➡ $25 + 8.75
➡ $33.75 ans.
Answer: 8.75
Step-by-step explanation:
i got it wrong this is what the test showed as the real answer
An asteroid and a planet are 383 000 km apart.
The asteroid then travels 99 500 km towards the planet.
How far does the asteroid have left to travel before
it reaches the planet? Work it out in your head.
Answer:
283500
Step-by-step explanation:
Your answer is
[tex]383000-99500[/tex]
Which is 283500
Hope this helps Please hit the crown :D
The asteroid are separated by 383,000 km.
The asteroid moves 99,500 km toward the planet.
Let F = how far does the asteroid need to travel before reaching the planet.
F = 383,000 km - 99,0m500 km
F = 283,500 km
Got it?
The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours. A simple random sample of 36 bulbs is taken. a. What are the expected value, standard deviation, and shape of the sampling distribution of
Answer:
Answer and Explanation:
We have:
Population mean,
μ
=
3
,
000
hours
Population standard deviation,
σ
=
696
hours
Sample size,
n
=
36
1) The standard deviation of the sampling distribution:
σ
¯
x
=
σ
√
n
=
696
√
36
=
116
2) As per the central limit theorem, the expected value of the sampling distribution is equal to the population mean.
Therefore:
The expected value of the sampling distribution is equal to the population mean,
μ
¯
x
=
μ
=
3
,
000
The standard deviation of the sampling distribution,
σ
¯
x
=
116
The shape of the sampling distribution of
¯
x
is approximately normal. As the sample size is more than
30
.
3) The probability that the average life in the sample will be between
2670.56
and
2809.76
hours:
P
(
2670.56
<
x
<
2809.76
)
=
P
(
2670.56
−
3000
116
<
z
<
2809.76
−
3000
116
)
=
P
(
−
2.84
<
z
<
−
1.64
)
=
P
(
z
<
−
1.64
)
−
P
(
z
<
−
2.84
)
=
0.0482
Using Excel: =NORMSDIST(-1.64)-NORMSDIST(-2.84)
4) The probability that the average life in the sample will be greater than
3219.24
hours:
P
(
x
>
3219.24
)
=
P
(
z
>
3219.24
−
3000
116
)
=
P
(
z
>
1.89
)
=
0.0294
Using Excel: =NORMSDIST(-1.89)
5) The probability that the average life in the sample will be less than
3180.96
hours:
P
(
x
<
3180.96
)
=
P
(
z
<
3180.96
−
3000
116
)
=
P
(
z
<
1.56
)
=
0.9406
The expected value, standard deviation, and shape of the sampling distribution of will be 116.
What is Standard deviation?Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Given that;
The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours.
And, A simple random sample of 36 bulbs is taken.
Now,
Since, The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours.
And, A simple random sample of 36 bulbs is taken.
Hence, The expected value, standard deviation, and shape of the sampling distribution of is,
⇒ Standard error = 696 / √ 36
= 696 / 6
= 116
Thus, The expected value, standard deviation, and shape of the sampling distribution of = 116.
Learn more about the standard deviation visit:
https://brainly.com/question/475676
#SPJ5
1
A line has a slope of 5 and a y-intercept of -2
Answer:
1
Step-by-step explanation:
Answer:
(2/5,0)
Step-by-step explanation:
The equation to find a line is mx+b=y. In this case m is 5, and b is -2.
5x+-2=y
Since we want to find the x-intercept, y has to be 0.
So: 5x+-2=0
5x=2
x=2/5
Find the product 822x9=
Answer:
7398
Step-by-step explanation:
Answer:
7398
I mean, this is the answer. You COULD just use a calculator, but here.
Glad I can help. :)
What is the domain of the relation [(x,y):y=x(x-3)/(x+4)(x-7)
Answer:
i think its b
Step-by-step explanation:
I need help please : )
Answer:
i think the answer is 10x^3-12^2-198x-40
Help please ;-; The values in the table represent a linear function.
x 1 2 3 4
f(x) −3 −1 1 3
What is the function rule?
Write the rule in function notation, using the slope-intercept form of a line.
Enter your answer in the box.
Answer:
The function rule in slope-intercept form is:
[tex]y = \frac{1}{2}x-\frac{7}{2}[/tex]
Step-by-step explanation:
The slope-intercept form of a function is given as:
[tex]y = mx+b[/tex]
Here
m is the rate of change of function and b is the y-intercept
The rate of change is calculated as:
[tex]m = \frac{difference\ in\ y}{difference\ in\ x}[/tex]
For this, any two pairs of input and output can be taken.
So using the pairs (1,-3) and (2,-1)
[tex]m=\frac{2-1}{-1+3}\\=\frac{1}{2}[/tex]
Putting the value of slope in slope-intercept form
[tex]y = \frac{1}{2}x+b[/tex]
Putting (1,-3) in the equation
[tex]-3 = \frac{1}{2}(1)+b\\-3 = \frac{1}{2}+b\\b = -3-\frac{1}{2}\\b = \frac{-6-1}{2}\\b= \frac{-7}{2}[/tex]
Putting the value of b
[tex]y = \frac{1}{2}x-\frac{7}{2}[/tex]
Hence,
The function rule in slope-intercept form is:
[tex]y = \frac{1}{2}x-\frac{7}{2}[/tex]
What is the value of a? Please solve this with the law of sine
Answer:
what chap is this
Step-by-step explanation:
what is an equation of the line that passes through the points (-2,-7) and (-1,-3)
Answer:
y=4x+1
Step-by-step explanation:
First you need to solve for slope using the equation:
y2-y1/x2-x1
It doesn't matter what point is 1 or what point is 2. Lets just say that (-2,-7) is point 1, and (-1,-3) is point 2.
(-3)-(-7)/(-1)-(-2)=-4/-1=4
Next you find the y-intercept. To do this you can plug in plug in everything we know into the equation: y=mx+b, and solve for b.
(Lets use point one)
-7=4(-2)+b
-7=--8+b
1=b
Last we can put it all together.
y=4x+1
A local Little league has a total of 60 players, 80% of whom are right-handed. How many right-handed players are there?
(Please answer step by step.)
Answer:
48 right-handed players
Step-by-step explanation:
first, make an equation
[tex]\frac{80}{100} =\frac{x}{60}[/tex]
then, cross multiply and the new equation is
[tex]100x=4800[/tex]
finally, divide by 100 on both sides to isolate the x and you get
x=48
helppppp help help helppppp help help thanks
Answer:
60 percent
Step-by-step explanation:
Answer:
60% are roses
Step-by-step explanation:
1. Add all the numbers together to find the total
15+6+4= 25 total flowers
2. Put the total as the denominator, and the rose count as the numerator since we are trying to find what percentage are roses
15/25
3. Simplify fraction
15/25= 3/5
4. Divide numerator by denominator
300/5
5. Simplify
300/5= 60%
Please help what is the answer
Answer:
7^12=13,841,287,201
Step-by-step explanation:
when you are putting a power to a power, you just multiply the powers by each other
Answer:
7^12
Step-by-step explanation:
(7^6)^2
7^12
What type of sequence do these figures belong?
Answer:
what figures? pls share the picture of the figures
Step-by-step explanation:
Complete each ordered pair so that it is a solution of the given linear equation.
x-3y = -2;( ,1). (-8, )
Answer: (1, 1), (-8, -2)
Step-by-step explanation:
Let’s start with the first solution: ( , 1)
We know that the y-coordinate for this solution is 1, so we can plug that in to find the x-coordinate.
x - 3y = -2
x - 3(1) = -2
x - 3 = -2
x = -2 + 3
x = 1
Therefore, for this solution x = 1, so our final solution is (1, 1).
Now let’s work on the second solution: (-8, ).
We know that the x-coordinate for this solution is -8, so we can plug that in.
x - 3y = -2
-8 - 3y = -2
-3y = -2 + 8
-3y = 6
y = -2
Therefore, for this solution y = -2, so our final solution (-8, -2).