9514 1404 393
Answer:
C. 45
Step-by-step explanation:
Apparently, your recursive definition is ...
[tex]a_1=5\\a_n=a_{n-1}\cdot3[/tex]
Each term is 3 times the previous one, so the sequence starts ...
5, 15, 45, 135, 405, ...
The 3rd term is 45.
Obiwan is standing at a distance of 1.5m from the base of a tree. From where he is standing, he can see the top of the tree. If the tree is 15m high and Obiwan is 1m tall, what is the angle of elevation of the top of the tree?
Answer:
∅ = 83.9º
Step-by-step explanation:
tan = opp/adj
opp = 15 - 1 = 14
tan∅ = 14/1.5
∅ = arctan 14/1.5
use calculator
∅ = 83.884496433714593º
Rounded
∅ = 83.9º
Help with number 16 please
Answer:
the answer is c. 300
Step-by-step explanation:
18+32×12÷2
base 1 + base 2 × height ÷ 2
The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 6 minutes and a population standard deviation of 2 minutes.
Find the probability that it took less than one minute to find a parking space. Round answer to four decimal places.
Answer:
56
Step-by-step explanation:
Answer: 0.0062
Step-by-step explanation:
please help me look at the photo!
What is the volume of the following rectangular prism? (please help)
Answer:
?
Step-by-step explanation:
i think ljhh ako naiintindihan
2x-4=20
Please fast with steps !
Answer:
x=12
hope it will helpful to you
Which function is shown in the graph below?
Answer:y=log1x
Step-by-step explanation:
which figure shows the radius of circle O?
Answer:
D
Step-by-step explanation:
The radius of a circle refers to a segment connecting the center of the circle to the circumference of the circle. This can be seen in selection D), as a segment connects the center of the circle (O) to the circumference or outer edge of the circle.
Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers.
Carpeted Un-Carpeted
15.9 8.1 15 7.2 10.4 6.1
11.2 16 11.2 6.8 11.3 6.8
8.6 10 12.1 6.3
Requried:
State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms.
Answer:
The null (H[tex]_{0}[/tex]) and alternative (H[tex]_{1}[/tex]) hypotheses can be stated as follows:
H[tex]_{0}[/tex]: μ[tex]_{1}[/tex] = μ[tex]_{2}[/tex].
H[tex]_{1}[/tex]: μ[tex]_{1}[/tex] > μ[tex]_{2}[/tex].
Step-by-step explanation:
In the question, the given assertion is that carpeted rooms have more bacteria than uncarpeted rooms, i.e. μ[tex]_{1}[/tex] > μ[tex]_{2}[/tex].
The assertion made in the question can either be the null hypothesis (H[tex]_{0}[/tex]) or the alternate hypothesis (H[tex]_{1}[/tex]). An equality must be present in the null hypothesis. The alternative hypothesis expresses the exact opposite of the null hypothesis if the claim is the null hypothesis.
Therefore, the null (H[tex]_{0}[/tex]) and alternative (H[tex]_{1}[/tex]) hypotheses can be stated as follows:
H[tex]_{0}[/tex]: μ[tex]_{1}[/tex] = μ[tex]_{2}[/tex].
H[tex]_{1}[/tex]: μ[tex]_{1}[/tex] > μ[tex]_{2}[/tex].
What is the answer to number question
Answer:
1.5
Step-by-step explanation:
5*.3
Two expressions of the equation
Step-by-step explanation:
let the expression of the equation be :
x+y=0
x²+y²= 5
hope it is helpful to you
I need about 2 of these but pls explain so I can learn and try on my own pls
These problems are based on the Pythagorean Theorem. The Pythagorean Theorem is a^2 + b^2 = c^2. If the two sides are equal, the triangle is a right triangle. If c^2 is less, the triangle is acute. If c^2 is more, the triangle is obtuse.
Obtuse: c^2 > a^2 + b^2
Acute: c^2 < a^2 + b^2
Right: c^2 = a^2 + b^2
#7 --- Obtuse
21^2 ___ 8^2 + 15^2
441 ___ 64 + 225
441 > 289
#8 --- Right
20^2 ___ 12^2 + 16^2
400 ___ 144 + 256
400 = 400
#9 --- Acute
6^2 ___ 4^2 + 5^2
36 ___ 16 + 25
36 < 41
Hope this helps!
The cost of making 6 chairs is $410. The cost of making 22 chairs is $570.
What is the cost per chair?
What is the fixed cost (or startup cost) that you need to spend before making the first chair?
Write a linear equation that tells you the total cost, C. of making x chairs.
CE
What is the total cost of making 17 chairs? $
If your total cost is $820, how many chairs did you make?
Answer:
if it cost 410 dollars to make 6 chairs we can divide 410 by 6 which is 68.3333333333 or 68 1/3
now for the other set of chairs we can divide 570 by 22 which is
25.9090909091 or 25.9
and for the rest it doesn't make any sense to me sorry
Which of the following best describes the equation below? y = x + 8 OA. function only B. both a relation and a function Oc. neither a relation nor a function OD. relation only?
9514 1404 393
Answer:
B. both a relation and a function
Step-by-step explanation:
Every linear equation with defined slope is both a relation and a function.
__
Only a vertical line of the form x=constant is linear equation that is a relation, but not a function.
This is my last one I’m happy
Answer:
105
Step-by-step explanation:
So, we know the formula is:
D=rt or D=r*t
We only need 2 of the 3 sets of values given in the table, one to find our answer, and the other to double check our answer.
Here are the two sets we can look at:
t=2, d=210
t=3, d=315
Lets plug these in and solve:
210=r*2
Divide both sides by 2 to get r alone:
105=r
Now lets check if this is true by pluggin in 105 for r in the second set, and seeing if it works:
D=r*t
315=105*3
=
315=315
So 105 is our answer.
Hope this helps!
What is the equation of a circle with center (1,-4) and radius 2?
O
A. (x-1)2 + (y + 4) = 4
B. (x-1) - (y + 4)2 - 4
O C. (x+1)2 + (y - 4)2 - 4
D. (x - 1)2 + (y + 4)2 - 2
Can someone please answer this please
Answer: I don't know but i have the formula.
Step by Step: [tex]A=\frac{1}{2}b h[/tex]
A scientist is conducting an experiment on two types of bacteria to determine which type will grow faster in a pool. After collecting data for two weeks, she finds that she can model the growth rates as follows:
Bacteria 1: y = 4x
Bacteria 2: y = 4x2
In these models, y represents the number of bacteria colonies and x represents the number of hours.
Based on these models, which type of bacteria is growing faster?
Answer:
bacteria 1
Step-by-step explanation:
i got it right
whats the probabily of drawing one blue marbel from a bag that contains 4 red marbels 6 green marbles and 1 white marbel and 3 blue marble
Answer: 3/14
Step-by-step explanation:
Number of red marbles = 4
Number of green marbles = 6
Number of white marbles = 1
Number of blue marbles = 3
Total number of marbles = 14
Therefore, the probability of drawing one blue marble will be:
= Number of blue marbles / Total number of marbles
= 3/14
Simplify: (5x + 3) – (3x – 2)
Answer: 2x+5
Step-by-step explanation:
(5x + 3) – (3x – 2)
5x+3-3x+2
2x+5
Answer:
[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]
╭⋟───────────────
[tex](5x+ 3) - (3x - 2) \\ = 5x + 3 - 3x + 2 \\ = 5x - 3x + 3 + 2 \\ = 2x + 5[/tex]
───────────────⋞╯
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
A student's course grade is based on one midterm that counts as 20% of his final grade, one class project that counts as 10% of his final grade, a set of homework assignments that counts as 50% of his final grade, and a final exam that counts as 20% of his final grade. His midterm score is 63, his project score is 89, his homework score is 92, and his final exam score is 77. What is his overall final score? What letter grade did he earn (A, B, C, D, or F)? Assume that a mean of 90 or above is an A, a mean of at least 80 but less than 90 is a B, and so on
Answer:
85 i guess
Step-by-step explanation:
2
Question 10 Multiple Choice Worth 5 points)
(06 02 MC)
Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations?
1
5x + 2y = 2
3x - 3y = 18
The slopes are the same, and the y.Intercepts are the same
The slopes are the same, and the y-intercepts are different
The slopes are different, and the y-intercepts are the same
Previous Question
Question 1 (Answered)
ON
Type here to search
O
BE
C
84'F Rain coming
AG
Answer:
the slopes are different, and the y-intercepts are also different
Step-by-step explanation:
We can rewrite the equations given in slope-intercept to easily determine the slope (m) and the y-intercept (b). Slope-intercept equation is y = mx + b
Let's rewrite each equation:
✔️5x + 2y = 2
Subtract 5x from each side
2y = -5x + 2
Divide both sides by 2
y = -5x/2 + 2/2
y = -⁵/2(x) + 1
The slope (m) = -⁵/2
y-intercept (b) = 1
✔️3x - 3y = 18
Subtract 3x from each side
-3y = -3x + 18
Divide both sides by -3
y = -3x/-3 + 18/-3
y = x - 6
Slope (m) = 1
y-intercept (b) = -6
✅Therefore, the slopes are different and the y-intercepts are also different
HELP!! I don’t know part c or d and I need to know if part a and b are correct thanksss
Answer:
d=67257
c=93
Step-by-step explanation:
Find the 22nd term of the arithmetic sequence whose common difference is d =3 and whose first term is a_1=-20
Find the area of the following circle.
plz I need this fast!
------11m------
379.94 m 2
34.54 m 2
94.985 m 2
17.27 m 2
Answer:
[tex]A=379.94\ m^2[/tex]
Step-by-step explanation:
Given that,
The radius of a circl is 11 m
We need to find the area of the circle. The forcemula for the area of a crcle is given by :
[tex]A=\pi r^2[/tex]
Put all the values,
[tex]A=3.14\cdot11^{2}\\A= 379.94\ m^2[/tex]
So, the area of the circle is equal to [tex]379.94\ m^2[/tex].
Answer:94.985 m 2
Step-by-step explanation:
During the first 13 weeks of the television season, the Saturday evening 8:00 p.m. to 9:00 p.m. audience proportions were recorded as ABC 30%, CBS 27%, NBC 26%, and independents 17%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 96 homes, CBS 69 homes, NBC 90 homes, and independents 45 homes.Test with α = 0.05 to determine whether the viewing audience proportions changed.State the null and alternative hypotheses.H0: pABC ≠ 0.30, pCBS ≠ 0.27, pNBC ≠ 0.26, pIND ≠ 0.17Ha: pABC = 0.30, pCBS = 0.27, pNBC = 0.26, pIND = 0.17 H0: pABC = 0.30, pCBS = 0.27, pNBC = 0.26, pIND = 0.17Ha: pABC ≠ 0.30, pCBS ≠ 0.27, pNBC ≠ 0.26, pIND ≠ 0.17 H0: The proportions are not pABC = 0.30, pCBS = 0.27, pNBC = 0.26, pIND = 0.17.Ha: pABC = 0.30, pCBS = 0.27, pNBC = 0.26, pIND = 0.17 H0: pABC = 0.30, pCBS = 0.27, pNBC = 0.26, pIND = 0.17Ha: The proportions are not pABC = 0.30, pCBS = 0.27, pNBC = 0.26, pIND = 0.17.Find the value of the test statistic. (Round your answer to three decimal places.)Find the p-value. (Round your answer to four decimal places.)p-value =State your conclusion.Reject H0. There has been a significant change in the viewing audience proportions. Reject H0. There has not been a significant
change in the viewing audience proportions. Do not reject H0. There has been a significant change in the viewing audience proportions. Do not reject H0. There has not been a significant change in the viewing audience proportions.
Part 1: Do not reject H0. There has not been a significant change in the viewing audience proportions.(The above conclusion holds as the p-value is greater than the significance level of 0.05)
Part 2:
H0:
Ha:
Part 3: The test statistic is given as 3.0081.
Part 4: The p-value is given as 0.39037
Step-by-step explanation:
As per the data
Part 2
H0:
Ha:
Part 3
As per the sample is of 300 homes, the expected values are given as
ABC=p(ABC)*300=0.30*300=90
CBS=p(CBS)*300=0.27*300=81
NBC=p(NBC)*300=0.26*300=78
IND=p(IND)*300=0.17*300=51
Now the values actually are given as
ABC=94
CBS=71
NBC=88
IND=47
So the test static is given as
So the test statistic is given as 3.0081.
Part 4
Now the degree of freedoms are given as 4-1=3
and chi square is given as 3.0081 so for α = 0.05 , the p-value is given as 0.39037
Part 1.
As the value of p in part 4 is greater than the value of α = 0.05, thus Do not reject H0. There has not been a significant change in the viewing audience proportions.(The above conclusion holds as the p-value is greater than the significance level of 0.05)
PLS HELP LAST THING I NEED FOR MATH THIS SCHOOL YEAR
ANSWER WITH STEP BY STEP SOLOUTION/PROCESS = BRAINLIEST ANSWER AND 5* VOTE
TROLLS = WILL GET ALL THEIR ANSWERS AND QUESTIONS REPORTED
PART 2, PART 1 ALREADY POSTED CHECK PROFILE
Answer:
B = 25 because 180-25-130 = 25 and all angles within triangle add to 180 degrees
a = 6 because the triangle is isosceles and we can see symmetry and draw this to prove on two opposite lines, therefore we can now find height easier.
c = 10. 876 because 130/2 = 65 degree and with new central height we can find Right Angle and using 6 x sin (65) = 5. 438 then we multiply by 2 to find c
Then all you have to do is re-write and round to the nearest 10th and check the units and write degree sign where required.
Step-by-step explanation:
Find an equation for the line perpendicular to y= -4/3x+5 with y-intercept (0,-12). Write the answer in slope-intercept form
Answer:
y=3/4x−12.
Step-by-step explanation:
Slope of the perpendicular line is negative inverse: m=34.
The equation of the perpendicular line is y=3x4+a.
To find a, we use the fact that the line should pass through the given point: −12=(34)⋅(0)+a.
a=−12.
Therefore, the equation of the line is y=3x4−12.
If this helps you, please give bainliest!
sum of 15,-2 and 7 is
Answer:
20
Step-by-step explanation:
15+(-2)+7=13+7=20
[tex]\longrightarrow{\blue{20}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]\:15 + ( - 2) + 7[/tex]
➺ [tex] \: 15 - 2 + 7[/tex]
➺ [tex] \: 22 - 2[/tex]
➺ [tex] \: 20[/tex]
Note:-[tex]\sf\pink{PEMDAS\: rule.}[/tex]
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Daryl invested $2,200 for 3 years. He received interest of $264. What was the interest rate?
Answer:
4%
Step-by-step explanation:
264 interest/3 years=88 interest/year
principal x interest rate =interest/year
2200 x interest rate =88
interest rate =88/2200
interest rate =.04 or 4%
