Answer:
Step-by-step explanation:
The sequence is nor properly written. This is correct sequence
49, 36, 25, 16, 9, 4, 1...
Merely looking at the sequence, we can see that it doesn't form an arithmetic sequence nor does it form a geometric sequence.
The values of the sequence are all perfect squares.
Rewriting the sequence;
7², 6², 5², 4², 3², 2², 1²...
Now we can see that the base values for an arithmetic sequence as shown:
7, 6, 5, 4, 3, 2, 1...
We find the common difference of this sequence as shown
d = T2-T1 = T3-T2 = T4-T3
Given T1 = 7, T2 = 6, T3 = 5, T4 = 4
Substitute
d = 6-7 = 5-6 = 4-5 = -1
d = -1
Get the nth term using the sequence
Tn = a+(n-1)d
a is the first term
d is the common difference
n is number of terms
Tn = 7+(n-1)(-1)
Tn = 7+(-n+1)
Tn = 7+1-n
Tn = 8-n
Since their power are constant i.e squared, hence we will square the ntj term as well to get the nth term of the original sequence as;
Tn = (8-n)²
To conclude, we can say that the sequence is neither arithmetic nor geometric sequence since the terms of the sequence are prefect squares.
Write an equation in slope-intercept form for the line with slope 2/5 and y-intercept -6 .
Answer:
[tex] y = \frac{2}{3}x - 6 [/tex]
Step-by-step explanation:
Recall that the the equation of a line in slope-intercept form is given as [tex] y = mx + b [/tex].
m = the slope of the line
b = the y-intercept. This is the point at which the line intercepts the y-axis.
We are given:
slope (m) = ⅖
y-intercept (b) = -6
All you need to do to get an equation of the line is to simply substitute m = ⅔ and b = -6 into [tex] y = mx + b [/tex].
[tex] y = \frac{2}{3}x + (-6) [/tex]
[tex] y = \frac{2}{3}x - 6 [/tex]
The equation for the line is .[tex] y = \frac{2}{3}x - 6 [/tex]
3. Determine if the graph below is a function.
Explain your reasoning.
Answer:
A function defines one variable in terms of another. The statement "y is a function of x" (denoted y = y(x)) means that y varies according to whatever value x takes on. A causal relationship is often implied (i.e. "x causes y"), but does not *necessarily* exist.
Step-by-step explanation:
find the first 3 powers of 7
Answer:
7, 49, 343
Step-by-step explanation:
Just do it
Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. The distribution of pH levels for all community swimming pools in a large county is approximately normal with mean 7.5 and standard deviation 0.2. According to swimming pool studies, the safest pH levels for water in swimming pools are between 7.2 and 7.8. (a) One community swimming pool in the county will be selected at random. What is the probability that the selected pool has a pH level that is not considered safe
Answer:
The value is [tex]P(A) = 0.133617[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 7.5[/tex]
The standard deviation is [tex]\sigma = 0.2[/tex]
The safest water level is between 7.2 and 7.8
Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as
[tex]P(A) = 1 - P(7.2 \le X \le 7.8 )[/tex]
Here
[tex]P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } < \frac{X - \mu }{ \sigma } <\frac{ 7.8 - \mu }{\sigma } )[/tex]
Generally [tex]\frac{X - \mu }{ \sigma } = Z (The \ standardized \ value \ of X )[/tex]
So
[tex]P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z <\frac{ 7.8 - 7.5 }{0.2 } )[/tex]
[tex]P(7.2 < X < 7.8 ) = P(-1.5 < Z <1.5)[/tex]
=> [tex]P(7.2 < X < 7.8 ) = P(Z < 1.5) - P( Z < - 1.5) [/tex]
From the z-table the probability of (Z < -1.5) and ( Z <1.5) are
[tex]P(Z < 1.5) = 0.93319[/tex]
and
[tex]P(Z < -1.5) = 0.066807[/tex]
So
[tex]P(7.2 < X < 7.8 ) =0.93319 - 0.066807 [/tex]
[tex]P(7.2 < X < 7.8 ) =0.0866383[/tex]
So
[tex]P(A) = 1 - 0.0866383[/tex]
=> [tex]P(A) = 0.133617[/tex]
The probability that the selected pool has a pH level that is not considered safe pool is 0.1336
The given parameters are:
[tex]\mathbf{\mu = 7.5}[/tex]
[tex]\mathbf{\sigma = 0.2}[/tex]
Start by calculating the probability that a pool is safe.
This is represented as: P(7.2 < x < 7.8)
Calculate the z-scores for x =7.2 and 7.8 using:
[tex]\mathbf{z = \frac{x - \mu}{\sigma}}[/tex]
So, we have:
[tex]\mathbf{z = \frac{7.2 - 7.5}{0.2} = -1.5}[/tex]
[tex]\mathbf{z = \frac{7.8 - 7.5}{0.2} = 1.5}[/tex]
So, we have:
[tex]\mathbf{P(7.2 < x < 7.8) = P(-1.5 < z < 1.5)}[/tex]
This gives
[tex]\mathbf{P(7.2 < x < 7.8) = P(z < 1.5) - P(z < -1.5)}[/tex]
Using z table of probabilities, we have:
[tex]\mathbf{P(7.2 < x < 7.8) =0.9332 - 0.0668}[/tex]
[tex]\mathbf{P(7.2 < x < 7.8) =0.8664}[/tex]
The probability that the pool is not safe is calculated using the following complement formula
[tex]\mathbf{P(Not\ Safe) = 1 - P(Safe)}[/tex]
So, we have:
[tex]\mathbf{P(Not\ Safe) = 1 -0.8664}[/tex]
[tex]\mathbf{P(Not\ Safe) = 0.1336}[/tex]
Hence, the probability that the pool is not safe is 0.1336
Read more about probabilities at:
https://brainly.com/question/11234923
PLEASE HELP WILL GIVE BRAINLIEST AND 20 POINTS!
what is the rate of change of
0.860, 3.302
Electrical Resistance The electrical resistance R of a wire varies inversely with the square of its diameter d. If a 25-foot wire with a diameter of 2 millimeters has a resistance of 0.5 ohm, find the resistance of a wire having the same length and a diameter of 3 millimeters.
Answer:
The answer is below
Step-by-step explanation:
The electrical resistance R of a wire varies inversely with the square of its diameter d:
R ∝ 1 / d
Let k represent the constant of proportionality, hence we can represent the statement as an equation:
[tex]R=\frac{k}{d^2}\\ \\when\ R=0.5 \Omega,d=2\ mm\\\\0.5=\frac{k}{2^2} \\\\k=2\\\\The\ equation\ becomes :\\\\R=\frac{2}{d^2}\\ \\When\ d=3, we\ find\ R\\\\R=\frac{2}{3^2} \\\\R=0.22\ \Omega[/tex]
Which symbol does a formula start with? = % + ^
Answer:=================================================
Step-by-step explanation:
the first one
Answer:
========================================================================================================================================
Step-by-step explanation:
it's the equal sign
Please help!
A painter earns $15 per hour. What is the minimum number of hours he must work to earn at least $200? Write an inequality to represent this situation and solve. Show your work.
7th grade math help me plzzzz
Answer:
a) -16
b)7
c) -4
d) 9
Step-by-step explanation:
by solving
Your teacher invented another game: You will pick one card from a deck of cards. If
you pick a heart, you will win $25.00. Otherwise, you will lose $5.00.
From the standpoint of the player, what is the expected value of this game?
Enter expected value
What does the expected value tell us about the game?
O The game is good to play, you will make money on average.
O The game is NOT good to play, you will tend to lose money.
O It doesn't matter if you play, you will generally break even.
Answer:
C
Step-by-step explanation:
Question 2
2 pts
Two out of every five people who buy ice cream buys vanilla ice cream. If a store sells
65 ice cream cones in one day, about how many will be vanilla?
Question 3
2 pts
Answer:
26
Step-by-step explanation:
Given that :
2 out of every 5 people buys vanilla ice cream;
If Total number of ice cream sold in a day = 65 ; how many will be vanilla ;
Probability of purchasing vanilla ; p(vanilla) = 2/5 = 0.4
Hence, expected number who bought vanilla :
p(vanilla) * total number of icecream sold
0.4 * 65 = 26
Hence, about 26 of the 65 icecream sold are vanilla flavor.
−2(−1 1/4) Multiply. Write your answer as a fraction in simplest form.
Answer:
I want to say 2.5
Step-by-step explanation:
Xis normally distributed with mean 1,000 and standard deviation 250. What is the probability that X lies between 800 and 1, 100?
Answer:
0.4435
Step-by-step explanation:
Given that :
X is normally distributed:
mean(m) = 1,000
standard deviation (s) = 250
probability that X lies between 800 and 1,100?
Using the relation :
X = 800
Zscore = (x - m) / s
Zscore = (800 - 1000) / 250
Zscore = - 200 / 250
Zscore = - 0.8
P(Z ≤ - 0.8) = 0.2119
X = 1100
Zscore = (x - m) / s
Zscore = (1100 - 1000) / 250
Zscore = 100 / 250
Zscore = 0.4
P(Z ≤ 0.4) = 0.6554
P(Z ≤ 0.4) - P(Z ≤ - 0.8)
0.6554 - 0.2119
= 0.4435
HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP HELP
Answer:
Confusing! Where r the instructions?
Step-by-step explanation:
3)
The circumference of a circle is 14 cm. What is the radius of the circle?
Explain your reasoning.
Answer:
C = 2 * π * R = 2 * π * 14 = 87.9646 cm .
Step-by-step explanation:
Maggie makes blankets to sell. The table shows Maggie’s expense, f(x), her revenue, g(x), and her profit, h(x), per unit of yarn used, x.
Which expresses h(x) as a combined function?
h(x) =
x + f(x)
(f+g)(x)
(f-g)(x)
(g-f)(x)
Answer:
(g-f)(x)
Step-by-step explanation:
You have to subtract expenses from revenue and multiply by yarn to equal profit
Dale has three dollars more than twice the amount of money that Leo has.
Which statement makes this comparison using the correct variable expression?
A. If Leo has d dollars then Dale has 2(3) + D dollars.
B. If Leo has d dollars then Dale has 2d + 3 dollars.
C. If Leo has d dollars then Dale has d +2+3 dollars.
D. If Leo has d dollars then Dale has d/2 + 3 dollars.
Please help y'all I don't get this can you guys explain to?
Answer:
is leo has d dollars then dale has 2d + 3 dollars
Step-by-step explanation:
dale has twice the amount and three extra dollars.
so 2 x d is 2d
2d + 3
I don't believe I was shown how to complete this
1. A frame is 9 in wide and 6 in tall. If it is reduced to a width of 3 in then how
tall will it be?
Answer:
18 units tall
Step-by-step explanation:
As the frame is 9x6, and the width divides by 3, the height should multiply by 3. In this case, 6x3=18, so the height is 18 units. Hope it helps!
the ratio of students who walked home from school to the students who ride the bus home is 2.7. The number of the bus riders is how many times the number of students who walk home?
Answer:
3.5
Step-by-step explanation:
If there are 9 students total and the ratio is 2:7 for walk home to ride bus then the answer would you would divide 2 from 7 which can be written as 7/2 then you would get your answer. Plus if the question says how many times the number... that means division:).
HOPE THIS HELPS!!:)
The fence requires a post every 3 ft, and the fence is to be 30 feet long, how many posts are needed?
Which ratio is equivalent to 5:9?
9:45
25.81
27:15
30:54
Answer: 30:54
Step-by-step explanation:
5 X 6 =30
9 X 6 =54
For example: If you multiply the other ones say the first one, 9 X 5 =45 but 5 X 5=9 so that doesn't work.
Which shows the image of triangle WXY after the transformation R0, –90°(x, y)?
On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (2, negative 1), W prime (4, negative 1), X prime (4, negative 4).
On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (negative 4, 4), W prime (negative 4, 2), X prime (negative 1, 2).
On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (negative 1, 2), W prime (negative 1, 4), X prime (negative 4, 4).
On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (5, negative 3), W prime (5, negative 1), X prime (2, negative 1).
Answer:
Option C: The third graph
Step-by-step explanation:
Edge2020
Answer:
c
Step-by-step explanation:
on edge 2022
Write the following as an inequality. 9 is greater than x, and 3 is less than x Use x only once in your inequality. also please understand that two people need to answer the question for me to give brainiest, and yes once two people answer I will choose brainliest for whoever is correct
Answer:
9>x>3
Step-by-step explanation:
the open side always faces the greater value
3x +2 = 9x + 20 for x
Answer:
Use a calculator solved :)))
Step-by-step explanation:
Answer:
x=-3
Step-by-step explanation:
3x+2=9x+20
3x-9x=20-2
-6x=18
X=-3
Ryan buys 5 tickets for the school play, Each ticket costs $8.
How much does Ryan spend in all?
Answer:
$40
Step-by-step explanation:
1=8
5x8=40
Answer:
40 shillings.
Step-by-step explanation:
If 1 ticket=8 shillings, what about 5 tickets?
8 shillings multiplied by 5 it will be 40 shillings.
936,292 round to the nearest ten thousand
Answer:
940,000
Step-by-step explanation:
Since there is a 6 in 936,292, that gives you the right to make the ten thousandth higher if that makes sense
- 6 = 0.75 ( r - 12 )
what is r
Answer:
r=4
Step-by-step explanation:
-6=0.75(r-12)
-6= 0.75r-9
3=0.75r
r=4
Tell whether the given number is a solution of each question. ( Must show work for credit)
1. 9 = 2a + 3; 3
2. 5n - (-30) = 5; 7
3. 4.4r - 2.8 = 1.6; 1
Answer/Step-by-step explanation:
1. [tex] 9 = 2a + 3 [/tex] ; 3
Let's solve for a.
[tex] 9 - 3 = 2a [/tex] (subtraction property of equality)
[tex] 6 = 2a [/tex]
[tex] \frac{6}{2} = a [/tex] (division property of equality)
[tex] 3 = a [/tex]
[tex] a = 3 [/tex]
Therefore, 3 is a solution to 9 = 2a + 3
2. [tex] 5n - (-30) = 5 [/tex] ; 7
[tex] 5n + 30 = 5 [/tex] (- × - = +)
[tex] 5n = 5 - 30 [/tex] (Subtraction property of equality)
[tex] 5n = -25 [/tex]
[tex] \frac{5n}{5} = \frac{-25}{5} [/tex] (division property of equality)
[tex] n = -5 [/tex]
Therefore, 7 is not a solution of [tex] 5n - (-30) = 5 [/tex]
3. [tex] 4.4r - 2.8 = 1.6 [/tex] ; 1
[tex] 4.4r = 1.6 + 2.8 [/tex]
[tex] 4.4r = 4.4 [/tex]
[tex] \frac{4.4r}{4.4} = \frac{4.4}{4.4} [/tex]
[tex] r = 1 [/tex]
Therefore, 1 is a solution of [tex] 4.4r - 2.8 = 1.6 [/tex].
a circle's radius is 22. What is the circle's area. (you may round to the nearest tenth)
Answer:
1520.5 I believe the answer is