9514 1404 393
Answer:
C: 2 and 3 only.
Step-by-step explanation:
We know the sum or difference of two odd numbers is even, eliminating choices (1) and (4).
The product of two odd numbers is odd, so (2) is one of the true statements.
__
Let x/y = k, where x and y are both odd. Then x = ky. If k is even, then x is even, a contradiction. So, k must be odd. The integer ratio of two odd numbers is odd, so (3) is one of the true statements.
Only statements (2) and (3) are true.
Independent Practice
Write an explicit rule for a geometric sequence that has 1 as its first term and a common ratio of –4. What is the seventh term of this sequence?
A.
an=−4 · (1)n−1; −4a subscript n baseline equals negative 4 times left parenthesis 1 right parenthesis superscript n minus 1 baseline semi-colon negative 4
B.
an=−4 · (7)n−1; −470,596a subscript n baseline equals negative 4 times left parenthesis 7 right parenthesis superscript n minus 1 baseline semi-colon negative 470,596
C.
an=1 · (−4)n−1; 4,096a subscript n baseline equals 1 times left parenthesis negative 4 right parenthesis superscript n minus 1 baseline semi-colon 4,096
D.
an=1 · (−4)n; −16,384a subscript n baseline equals 1 times left parenthesis negative 4 right parenthesis superscript n baseline semi-colon negative 16,384
Answer: The Answer Is Letter B Or Letter C..... 12*4*2= 96
B.
an=−4 · (7)n−1; −470,596a subscript n baseline equals negative 4 times left parenthesis 7 right parenthesis superscript n minus 1 baseline semi-colon negative 470,596
C.
an=1 · (−4)n−1; 4,096a subscript n baseline equals 1 times left parenthesis negative 4 right parenthesis superscript n minus 1 baseline semi-colon 4,096
Step-by-step explanation: First Term: 2, Second Term: 6, Third Term: 18, Forth Term: 54, Fifth Term: 162
Geometric sequences and series
A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r.
Example
Write the first five terms of a geometric sequence in which a1=2 and r=3.
We use the first given formula:
Just as with arithmetic series it is possible to find the sum of a geometric series. It is found by using one of the following formulas:
Video lesson
Use the formula for the sum of a geometric series to determine the sum when a1=4 and r=2 and we have 12 terms.
HURRY!!!
Given: PB tangent
PV, PU Secants
If m VU = 80° and m ST = 30°, then m<1 = 25 40 55
Answer:
25°
Step-by-step explanation:
(80-30)/2
= 50/2
= 25
Answered by GAUTHMATH
Measure of angle 1 from the given circle is 40 degree. Therefore, option B is the correct answer.
What is secant tangent rule?If a line is drawn from an external point to a circle, creating a tangent segment and a secant segment, then the length of the tangent segment squared is equal to the product of the lengths of the secant segment and its external segment.
Given that, PB is tangent and PV and PU are secant.
Here, measure of arc VU = 80° and measure of arc ST = 30°
Now, m∠1=1/2 ×measure of arc VU
m∠1=1/2 ×80°
m∠1=40°
Therefore, option B is the correct answer.
To learn more about the circle theorems visit:
https://brainly.com/question/19906313.
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please help i need the coordinates of A
Answer:
(-6,2)
Step-by-step explanation:
The equation of a straight line can be written in the
form 3x + 2y - 8 = 0.
(a) Rearrange this equation to make y the subject.
(b) Write down the gradient of the line.
(c) Write down the coordinates of the point where
the line crosses the y-axis.
(pls give a full working )
Answer:
see explanation
Step-by-step explanation:
Given
(a)
3x + 2y - 8 = 0 ( subtract 3x - 8 from both sides )
2y = - 3x + 8 ( divide the terms by 2 )
y = - [tex]\frac{3}{2}[/tex] x + 4
(b)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{3}{2}[/tex] x + 4 ← is in slope- intercept form
with slope ( gradient) m = - [tex]\frac{3}{2}[/tex] and
(c)
c = 4
That is crosses the y- axis at (0, 4 )
Find the length of x. Assume the triangles are similar.
A. 2.5
B. 4.4
C. 4.0
D. 3.5
Answer:
the answer is get to be D-3.5
here is another question i need help
Rob is investigating the effects of font size on the number of words that fit on a page. He changes the font size on an essay and records the number of words on one page of the essay. The table shows his data.
A 2-row table with 10 columns. The first row is labeled font size with entries 14, 12, 16, 10, 12, 14, 16, 18, 24, 22. The second row is labeled word count with entries 352, 461, 340, 407, 435, 381, 280, 201, 138, 114.
Which equation represents the approximate line of best fit for data, where x represents font size and y represents the number of words on one page?
y = –55x + 407
y = –41x + 814
y = –38x + 922
y = –26x + 723
Answer:
y = -26.059x + 722.63
Step-by-step explanation:
The equation that represents the approximate line of best fit for data will be D. y = –26x + 723.
How to illustrate the equation?It should be noted that an equation is simply used to illustrate the mathematical expressions between variables.
To find an equation of a line, it's important to identify the slope, the point, and then substitute the values into the point-slope form.
Using the given data you can build the linear regression that is described by the linear function y=ax+b, you can see that a = -26 and b = 723 in the attached diagram.
In this case, the equation that represents the approximate line of best fit for data will be y = –26x + 723. The line expresses the relationship between the points.
Learn more about equations on:
https://brainly.com/question/13763238
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Two consecutive even whole numbers have a product of 360. What is the smaller of the
two numbers
1. Why should you plan for retirement now?
2. What are 2 different ways that you can save for retirement and what are the benefits of these methods?
3. Why is it important to make sure your retirement account has compounded interest?
4. What is one example of something you could do in the next 5 years to start saving for retirement?
5. What advice you would give to a friend or family member who is thinking of retiring soon? (Right answer only please) :)
1. Because if you have a plan early then you can start saving early, which increases the amount you will have. The future is also unpredictable
2. Set aside money over a set period (put aside money each month, year). You can set up a plan through your employer ie 401K, or set up an individual retirement plan (IRA). Your employer takes a percentage you choose out of your check each month (commonly 3%, 5%, %10, 15%). The money is taken from your paycheck before taxes therefore it lowers your income and you pay less in taxes. An IRA is similar to a bank account as you choose when and how much you put in over time. Both can be withdrawn at 59 1/2.
3. Compound interest essentially earns you more money for retirement. It can be important because you earn more than with regular interest.
4. Start balancing expenses, make a plan for retirement and practicing saving. It would also be beneficial to start setting aside money for retirement even if you haven't opened an account yet.
5. Make sure you can comfortably live off of your retirement. If you can't it would be best to maximize your retirement and savings, or consider working seasonally or part-time
The triangle below is isosceles. Find the length of side x in simplest radical form with
a rational denominator.
х
V10
Answer: 2=
=
Submit Answer
Answer:
x=2*sqrt(5)
Step-by-step explanation:
Since the triangle is isosceles, the other side of the triangle is sqrt(10) too. By using Pythagoras theorem, we have 10+10=x^2, x=2*sqrt(5).
what is x increased by 10 divided by 4 as an expression?
please help need answer, I ask you don't answer if you don't know the answer, thank you!
Answer:
[tex]\displaystyle \frac{x+10}{4}[/tex]
Step-by-step explanation:
We want to write an expression for the phrase: "x increased by 10 divided by 4."
If x is being increased by 10, the expression is:
[tex]x+10[/tex]
And if it is then divided by 4, we can place the entire expression over four. Hence:
[tex]\displaystyle \frac{x+10}{4}[/tex]
Our expression is:
[tex]\displaystyle \frac{x+10}{4}[/tex]
If the lengths of the legs of a right triangle are 4 and 8, what is the length of the
hypotenuse?
O A. 12
B. 4sqrt5
Oc. 32
D. 4sqrt3
Answer:
option A. twelve because hypotenuse angle is equal to perpendicular to the sum base
Can someone help me on this
Answer:
The choose (C)
F(x)=x/ (x+1)(x-2)
Help needed ! Asap rocky! U hurddd mamahuevo
Answer:
Step-by-step explanation:
Hello!
x < -45/15
=>
{xIx<-3}
Find an equation in slope-intercept form of the line that has slope –7 and passes through point A(8,-4)
a.) y = 52x + 7
b.) y = 7x + 52
c.) y = -7x - 52
d.) y = -7x + 52
Answer:
y = -7x + 52
Step-by-step explanation:
y = -7x - b
-4 = -7(8) + b
-4 = -56 + b
52
please help me please i will give brainliest
Answer:
2.6
Step-by-step explanation:
espero ter ajudado
this is for my lil bro. I kinda forgot how to do this so help would be appreciated.
Answer:
Yes
Step-by-step explanation:
-10x+4y ≥-4
Plug in (0,-1)
-10(0) +4(-1) ≥-4
-4 ≥ -4
This is a true statement so the point is a solution
Answer:
Yes
Step-by-step explanation:
Substitute x = 0 and y = -1
Then
[tex] - 10(0) + 4( - 1) \geqslant - 4 \\ - 4 \geqslant - 4[/tex]
Divide 2 divided by 1/2
Answer:
yea it should be 4
Step-by-step explanation:
all you doing is dividing
the width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle.
Answer: 80, 40
Step-by-step explanation: I just made an equation which went something along the lines Of 3.1x=248 , then you get 80, then 40.
Write down the nth term of the following sequence
the following pattern are made using small squares
Answer:
a) [tex]n = 4 + 7\cdot i[/tex], [tex]\forall\, i \in \mathbb{N}_O[/tex], b) [tex]n = 2 + (i+1)^{2}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]
Step-by-step explanation:
a) The sequence is representative for an arithmetic sequence, whose key characteristic is that difference is between two consecutive elements is the same. In particular, the sequence has a difference of 7 between any two consecutive elements and the initial element is 4. Hence, we can derive the following formula:
[tex]n = n_{o} + r\cdot i[/tex], [tex]\forall\, i \in \mathbb{N}_O[/tex] (1)
Where:
[tex]n_{o}[/tex] - Initial element.
[tex]r[/tex] - Difference between two consecutive elements.
[tex]i[/tex] - Index.
If we know that [tex]n_{o} = 4[/tex] and [tex]r = 7[/tex], then the expression for the n-th term of the sequence is:
[tex]n = 4 + 7\cdot i[/tex], [tex]\forall \,i\in\mathbb{N}_{O}[/tex]
b) In this case, we have a geometric sequence described by the following equation:
[tex]n = 2 + (i+1)^{2}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex] (2)
The constant element ([tex]2[/tex]) represents the two extreme squares, whereas the second order binomial represents the total of squares in the middle ([tex](i+1)^{2}[/tex]) and emulates the area formula of the square.
Answer:
Step-by-step explanation:
?
If the ratio of the value of the Canadian dollar to the US dollar is $1.12: $1.00, how much Canadian money
is equivalent to US$250?
find x
2 ^30 divided by 8^9= 2x
Answer:
see below
Step-by-step explanation:
2^30
-------
8^9
Rewriting
8^9
2^3 ^ 9
We know a^b^c = a^(b*c)
2^(3*9) = 2^27
2^30
-------
2^27
We know a^b / a^c = a^(b-c)
2^(30-27) = 2^3
Assuming you mean 2^x
2^3 = 2^x
x=3
If you mean 2x
2^3 = 8
8 = 2x
Divide by 2
4 =x
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{2^{30}}{8^9}=2x}[/tex]
[tex]\mathsf{2^{30}}\\\mathsf{= \bf 1,073,741,824}\\\\\mathsf{8^9}\\\mathsf{= \bf 134,217,728}[/tex]
[tex]\mathsf{\rightarrow \dfrac{1,073,741,824}{134,217,728}= 2x}\\\\\\\mathsf{\dfrac{1,073,741,824}{134,217,728}= \bf 8}\\\\\\\mathsf{\rightarrow \ 8 = 2x}\\\\\\\\\large\textsf{TURN\ the\ EQUATION\ around}\\\\\\\mathsf{\rightarrow\ 2x = 8}\\\\\\\large\textsf{DIVIDE 2 to BOTH SIDES}\\\\\\\mathsf{\dfrac{2x}{2}=\dfrac{8}{2}}\\\\\\\large\textsf{CANCEL out: }\mathsf{\dfrac{2}{2}}\large\textsf{ because it gives you 1}\\\\\\\large\textsf{KEEP: }\mathsf{\dfrac{8}{2}}\large\textsf{ because it gives you the answer of x}[/tex]
[tex]\mathsf{x = \dfrac{8}{2}}\\\\\\\mathsf{x = 8\div 2}\\\\\\\mathsf{x = \bf 4}\\\\\\\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = 4}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
double a number plus 54 equals 8 times the number
2x+54=8x
So. The Answer is 7
NEED ASAP!!!
In this figure, AB || CD and m/_3=120
What is m/_6?
Enter your answer in the box
Answer:
m/_6=60
Step-by-step explanation:
angles 3 and 6 are same side interior angles makeing them suplimentary.
180-/_3=/_6
180-120=60
it works both ways as well!
Helppppp pleaseeee !!!!!!!!!!
Step-by-step explanation:
the 60 preliminary published articles are a constant.
all the new articles are simply added to that to get the total number of published articles.
every months produces 12 more articles.
so,
m = 1 means a = 60 + 1×12 = 72
m = 3 means a = 60 + 3×12 = 60 + 36 = 96
m = 4 means a = 60 + 4×12 = 60 + 48 = 108
m = 9 means a = 60 + 9×12 = 60 + 108 = 168
Suppose 60% of the graduating class in a certain high school goes on to college. If 126 students from this graduation class are going on to college, how many students are from this graduating class?
Answer: 210
percent * base = amount
.6 * base = 126
base = 126/.6
x = 210
Step-by-step explanation:
125 + (a-b)³ help me
Answer:
(5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)
Step-by-step explanation:
125 + (a - b)³ ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²)
Then
125 + (a- b)³
= 5³ + (a - b)³
with a = 5 and b = (a - b)
= (5 a a - b)(5² - 5(a - b) + (a - b)² )
= (5 + a - b)(25 - 5a + 5b + a² - 2ab + b²)
= (5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)
Helpppppppp pleaseeee
Answer:
5
Step-by-step explanation:
median means the number in the middle
4cosx - 2cos2x - cos4x=1
Answer:
x = 360°
Answered by GAUTHMATH
come help me!! rack up those points!! needing lots of help with geometry today :)
Answer:
312 in^2
Step-by-step explanation:
Yet again, not the best way but let's add up all the sides...
2(24+96+36) = 2(156) = 312 in^2
Hope this helped!
