Let x be the first number in the sequence. Then the first three numbers are
{x, x + 3, x + 6}
The next sentence says that the sequence
{x + 1, x + 9, x + 25}
is geometric, which means there is some fixed number r for which
x + 9 = r (x + 1)
x + 25 = r (x + 9)
Solve for r :
r = (x + 9)/(x + 1) = (x + 25)/(x + 9)
Solve for x :
(x + 9)² = (x + 25) (x + 1)
x ² + 18x + 81 = x ² + 26x + 25
8x = 56
x = 7
Then the three numbers are
{7, 10, 13}
Please help me, by completing this proof!
Answer:
Step-by-step explanation:
Statement Reasons
1). Line PQ is an angle bisector of ∠MPN D). Given
2). ∠MPQ ≅ ∠NPQ A). Definition of angle bisector
3). m∠MPQ = m∠NPQ F). Definition of congruent
angles.
4). m∠MPQ + m∠NPQ = m∠MPN C). Angle addition postulate
5). m∠MPQ + m∠MPQ = m∠MPN G). Substitution property of
equality
6). 2(m∠MPQ) = m∠MPN B). Distributive property
7). m∠MPQ = [tex]\frac{1}{2}(m\angle MPN)[/tex] E). Division property of equality
What is the median to 17,19, 20, 21, 22, 25, 29, 30, 32, 35
Answer:
23.5
Step-by-step explanation:
The median is the middle value when the numbers are put in order from smallest to largest
17,19, 20, 21, 22, 25, 29, 30, 32, 35
There are 10 numbers
17,19, 20, 21, 22, 25, 29, 30, 32, 35
The middle is between 22 and 25
(22+25)/2 = 47/2 =23.5
An automobile manufacturer has given its car a 46.7 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this car since it is believed that the car has an incorrect manufacturer's MPG rating. After testing 150 cars, they found a mean MPG of 46.5. Assume the population standard deviation is known to be 1.1. A level of significance of 0.05 will be used. State the null and alternative hypotheses.
Answer: See explanation
Step-by-step explanation:
The null hypothesis H0: The null hypothesis states that there is no relationship between the two things that are being considered.
The alternative hypothesis is contradictory to H0 and it explains that there is a relationship between the two selected variables.
Based on the question, the null hypothesis H0 is that the rating of car is equal to 46.7 miles per gallon. μ = 46.7 MPG
The alternative hypothesis Ha is that the rating of the car is not equal to 46.7 Miles per gallon. μ ≠ 46.7 MPG
Match the expressions given in words with their algebraic expressions.
&+59
5(5—9)
5+39
5(9-5)
-56
Answer:
5+39 this is the answer 5+39
Divide and check by multiplying the quotation by the divisor 8m^4+12m^3 over 4m
Answer:
2m^3 + 3m^2
Step-by-step explanation:
8m^4+12m^3
---------------------
4m
2m^3 + 3m^2
Check
4m(2m^3+3m^2)
8m^4 + 12 m^3
Find the measure of angle x in the figure below:
A triangle is shown. At the top vertex of the triangle is a horizontal line aligned to the base of the triangle. The angle formed between the horizontal line and the left edge of the triangle is shown as 57 degrees, the angle formed between the horizontal line and the right edge of the triangle is shown as 61 degrees. The angle at the top vertex of the triangle is labeled as y, and the interior angle on the right is labeled as 67 degrees. The interior angle on the left is labeled as x.
35°
47°
51°
62°
Your answer iss...
It is 51º
A certain positive integer has exactly 20 positive divisors.
What is the largest number of primes that could divide the integer?
thx for the help in advance
9514 1404 393
Answer:
3
Step-by-step explanation:
20 has at most 3 proper factors greater than 1: 2×2×5. Each of these can represent a prime factor of the number of interest, and is 1 more than that prime's power. That is, the number of interest (n) will have at most 3 prime factors p, q, r, and will be ...
n = p·q·r^4
_____
For some prime factorization ...
[tex]\displaystyle n=\prod_{k=1}^m{p_k^{q_k}}[/tex]
The total number of divisors of n is ...
[tex]\displaystyle\prod_{k=1}^m{(q_k+1)}[/tex]
Select the statement that best justifies the conclusion based on the given information.
l is in plane M,
x is on line l
Conclusion: x is in plane M.
a. A plane contains at least three points not all on the same line.
b. If two points lie in a plane, then the line containing them lies in that plane.
c. If a plane contains a line, it contains the points on the line.
d. Exactly one plane contains a given line and a point not on the line.
9514 1404 393
Answer:
c. If a plane contains a line, it contains the points on the line.
Step-by-step explanation:
The only statement relating a point on a line to the plane containing the line is the one shown above.
_____
Additional comment
Identifying true statements is a reasonable strategy for many multiple-choice questions. Another strategy that can be employed is finding the one true statement that is relevant to the question being asked.
A research report claims that 20% of all individuals use Firefox to browse the web. A software company is trying to determine if the proportion of their users who use Firefox is significantly different from 0.2. In a sample of 200 of their users, 26 users stated that they used Firefox.
Required:
Using this data, conduct the appropriate hypothesis test using a 0.01 level of significance.
Answer:
Reject H0
Step-by-step explanation:
Z = -2.474873734
survey (positive) 26
n (total) 200
p 0.2
p /point est. 0.13
POPULATION(min) 4000
np >= 5 ? YES 40
n(1-p) >= 5 ? YES 160
Sample is valid
Confidence Level - "P" values
99% 2.58
Confidence Interval - "P" values
(0.0686 , 0.1914 )
Reference=0.2 Reject H0
please help brainliest to correct answer
Answer:
Question for number 3 is -3
Question for number 4 is 6
Step-by-step explanation:
Brainless please
A sample tested the claim that heights of men and heights of women have difference variances, with s=7.42388 cm for women and 7.14974 cm for men. The sample sizes are n1=144 and n2=156. When using the F test with these data, is it correct to reason that there is no need to check for normality because n1>30 and n2>30?
No. The F test has a requirement that samples be from the normally distributed populations, regardless of how large the samples are.
The F-test simply shows whether the variances that are in the numerator and the denominator are equal. The F-test can be applied on a large sampled population.
One main assumption of the F test is that the populations where the two samples are drawn are normally distributed.
Regarding the question, it's important to note that when using the F test with these data, it's not correct to reason that there is no need to check for "normality".
It should be noted that the F test has a requirement that samples are from the normally distributed populations, regardless of how large such samples are.
Read related link on:
https://brainly.com/question/16786843
Which expression is equivalent to the following complex fraction?
Answer:
The correct choice is option B. y+1/y-1
Step-by-step explanation:
Help please! it’s due soon
Answer:
33. That means (A) can be any number and b times any number wilo get 0 so any numbr will do
34.It is wrong because if x equals 40 anything multiply that will be more than that and so isnt a good reasoning
how do you tell how many times greater is the 5 in 458,039 than the 5 in 271,145
Answer:
count the number of places it is. The 5 in 458,039 is in the 10,000 place and the 5 in 271,145 is in the ones place so the 5 in 458,039 is 10,000 times greater
Which Expression is equivalent to -2(x + 6) 2x + (-12) 2x + 12 2x + 6
Answer:
-2x -8
Step-by-step explanation:
If the sequence 2, 4, 6, 10, 16, ... were to follow the same pattern as the Fibonacci sequence, what are the next three terms?
Answer:
26, 42, 68
Step-by-step explanation:
In the Fibonacci sequence, each number is equal to the sum of the two previous numbers. Denoting the sequence as a, we can say that
a₁=2
a₂=4
a₃=6
a₄=10
a₅=16
What we can see here is that each number a₃ or above is equal to the sum of its two previous numbers. For example, a₃ = a₁+a₂ = 2 +4 = 6
Therefore,
a₆ = a₄+a₅ = 10+16 = 26
a₇ = a₅+a₆ = 16 + 26 = 42
a₈ = a₆+a₇ = 26 + 42 = 68
r-(-4x - (y + y)); use x = -4, and y = -3 evaluate
Answer:
insert values of x and y
r - ( -4(-4) - ( -3-3))
r - ( 16 +6 )
r - 22
Doneeeeeeeeeeeeeeeeee3
1+9+40-40+40+10x2 equals what?
Answer:
70
Step-by-step explanation:
1+9+40-40+40+10*2
----------------------- 20
10+40-40+40+20
50 (-40+40 cancels out to 0) +20
50+20= 70
(Following PEMDAS)
Multiply, add, subtract.
if you were to instead go through it left to right, you would get 120, which is incorrect.
Write the quadratic function f(x) = x2 - 2x - 8 in factored form.
A) f(x) =(x - 4)(x - 2)
B) f(x) =(x + 4)(x - 2)
C) f(x) =(x - 4)(x + 2)
D) Rx) =(x + 4)(x + 2)
Answer:
Hello,
answer C
Step-by-step explanation:
[tex]f(x)=x^2+2x-8\\\\=x^2-4x+2x-8\\\\=x(x-4)+2(x-4)\\\\=(x-4)(x+2)\\\\Answer\ C[/tex]
(a) If y varies directly as x, and y=24 when x=16, find y when x=12.
(b) In a formula, z varies inversely as P. If Z is 200 when P is 4, find z when P is 10.
Answer:
(a) 18
(b) 80
Step-by-step explanation:
(a) let y=kx
so, 24=16k
or, k=24/16 or, k=3/2
now, putting x=12
y=kx
or, y=(3/2)×12
or, y=3×12/2
or, y=36/2
or, y=18
(b) let P=k/z
so, 4=k/200
or, k=800
when P = 10
P=k/z
or, 10=800/z
or, z=800/10
or, z=80
a² +6²
a-b
if a = 3 and b = 4
Evaluate each expression using the variable replacements.
Answer:
-45Step-by-step explanation:
let a= 3 and b= 4a² + 6² / a - b= 3² + 6² / 3 - 4= 9 + 36 / -1= 45 / -1= -45[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Please help me please! I really need it! Thank you so much!!!!!!!!!!! Sorry Quality is really bad
Answer:
7[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
- 2[tex]\frac{1}{3}[/tex] - ( - 10[tex]\frac{1}{6}[/tex] ) = - 2[tex]\frac{1}{3}[/tex] + 10[tex]\frac{1}{6}[/tex] = - 2[tex]\frac{2}{6}[/tex] + 10[tex]\frac{1}{6}[/tex] = ( 10 - 2 ) + ( [tex]\frac{1}{6}[/tex] - [tex]\frac{2}{6}[/tex] ) = 8 - [tex]\frac{1}{6}[/tex] = 7 + ( [tex]\frac{6}{6}[/tex] - [tex]\frac{1}{6}[/tex] ) = 7[tex]\frac{5}{6}[/tex]
HELP! I really need the answer quick!!!!!!!
Answer:
139°
Step-by-step explanation:
8x+51+6x-25=180
14x+26=180
14x=180-26
14x=154
x=154/14
x=11
<AOB= 8x+51 = 8(11)+51 = 88+51 = 139
Suppose the discrete random variable X has the probability distribution below:
X 0 1 2 3 4
P(X) 0.11 0.52 0.19 0.12 0.06
1pt a right parenthesis space F i n d space P left parenthesis X less than 3 right parenthesis
2pt b right parenthesis space F i n d space P left parenthesis X greater or equal than 1 right parenthesis
2pt c right parenthesis space F i n d space mu subscript X
2pt, 1pt d right parenthesis space F i n d space sigma subscript X squared space a n d space sigma subscript X
(a) P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.11 + 0.52 + 0.19 = 0.82
(b) P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.52 + 0.19 + 0.12 + 0.06 = 0.89
(c) µ = 0×0.11 + 1×0.52 + 2×0.19 + 3×0.12 + 4×0.06 = 1.5
(d) σ² = (0²×0.11 + 1²×0.52 + 2²×0.19 + 3²×0.12 + 4²×0.06) - µ² = 1.07
σ = √(σ²) ≈ 1.03
find the sum or difference of 4/5 - (-3 4/5)
Answer:
4 3/5
Step-by-step explanation:
4/5 - (-3 4/5)
Subtracting a negative is like adding
4/5 + 3 4/5
3 8/5
3 5/5 + 3/5
3+1+3/5
4 3/5
What is the range of the function in the graph?
Answer:
b=70
Step-by-step explanation:
The range is the value that the output takes
In this graph, the output is constant at 70
The output value is b
b=70
A ball is thrown straight up into the air from an initial height of 5 feet at time t = 0. The height, in feet, of the ball above the ground is given by h(t), where t is measured in seconds for 0 ≤ t ≤ 15. Based on the values of t and h(t) given in the table, for which value of t would the speed of the ball most likely be the greatest?
t (seconds) 0 3 6 9 12 15
h(t) (feet) 5 12 15 11 6 0
Select one:
a. 2 seconds
b. 5 seconds
c. 9 seconds
d. 15 seconds
Answer:
5 seconds
Step-by-step explanation:
The speed of an object is the rate of distance over time. The value of time (t) at the greatest speed of the ball is at 2 seconds
First, we calculate the speed using:
[tex]Speed = \frac{h(t)}{t}[/tex] --- i.e. distance/time
At t = 0, h(t) = 5
So;
[tex]Speed = \frac{5}{0} = unde fine d[/tex]
At t = 3, h(t) = 12
[tex]Speed = \frac{12}{3} = 4[/tex]
At t = 6, h(t) = 15
[tex]Speed = \frac{15}{6} = 2.5[/tex]
At t = 9, h(t) = 11
[tex]Speed = \frac{11}{9} = 1.2[/tex]
At t = 12, h(t) = 6
[tex]Speed = \frac{6}{12} = 0.5[/tex]
At t = 15, h(t) = 0
[tex]Speed = \frac{0}{15} = 0[/tex]
By comparing the above values, we notice that as time and height increases, the value of speed reduces.
This means that the greatest value of speed will be at the least value of time (t).
From the given options, the least value of time is at:
[tex]t = 2[/tex]
Hence, the value of time (t) at the greatest speed of the ball is at 2 seconds
Read more about speed at:
https://brainly.com/question/7359669
Solve 7 ( x + 1 ) + 2 = 5x + 15
Answer:
x = 3
Step-by-step explanation:
7(x + 1) + 2 = 5x + 15
~Simplify left side
7x + 7 + 2 = 5x + 15
~Combine like terms
7x + 9 = 5x + 15
~Subtract 9 to both sides
7x = 5x + 6
~Subtract 5x to both sides
2x = 6
~Divide 2 to both sides
x = 3
Best of Luck!
find the product
(4\m+m)(4/m-m)
[tex]\\ \sf\longmapsto \dfrac{4}{m+m}\times \dfrac{4}{m-m}[/tex]
[tex]\\ \sf\longmapsto \dfrac{4\times 4}{(m+m)(m-m)}[/tex]
[tex]\boxed{\sf (a-b)(a+b)=a^2-b^2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{16}{m^2-m^2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{16}{0}[/tex]
[tex]\\ \sf\longmapsto \infty[/tex]
Answer:
(16-m^4)/m^2
Step-by-step explanation:
=([tex]\frac{4}{m}[/tex]+m)([tex]\frac{4}{m}[/tex]-m)
=[tex]\frac{4+m^2}{m}[/tex]*[tex]\frac{4-m^2}{m}[/tex] (LCM)
[tex]\frac{16-m^4}{m^2}[/tex] (a-b)(a+b)
Find the minimum turning point of y = x^2 + x - 12
Answer:
(x+4)(x-3)
Step-by-step explanation:
x^2+x-12
=x^2+(4-3)x-12
=x^2+4x-3x-12
=x (x+4)-3 (x+4)
=(x+4)(x-3)
Answer:x=6
Step-by-step explanation:
