Answer:
3720087
Step-by-step explanation:
Given that,
A geometric sequence : 567,-189,63
First term is : 567
Common ratio : 567/-189 = -3
The nth term of a GP is given by :
[tex]a_n=ar^{n-1}[/tex]
n = 9
So,
[tex]a_9=567\times (-3)^{9-1}\\\\a_9=3720087[/tex]
So, the 9th term of the geometric sequence is 3720087.
13+6y y=6 evaluate
━━━━━━━☆☆━━━━━━━
▹ Answer
49
▹ Step-by-Step Explanation
Substitute:
13 + 6(6)
Solve:
6 * 6 = 36
13 + 36 = 49
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Answer: 49
Step-by-step explanation: To evaluate 13 + 6y if y = 6,
we start by substituting 6 in for y.
So we have 13 + 6(6).
Remember to use parentheses when
substituting numbers in for variables.
Now, we use the order of operations to simplify from here.
Since multiplication comes before addition, our next step is
to multiply 6(6) to get 36, and we have 13 + 36, which is 49.
Zach is 4 years older than twice his sister Maya’s age. Zach is 28 years old. Let m represent Maya’s age. During the Strategize step of the five-step problem-solving plan, which expression would you use to represent Zach’s age?
Answer:
2m + 4 = 28
Step-by-step explanation:
Zach = 28 years old
2 times Maya's (m) age
2*m
4 years older plus twice Maya's age.
2 * m + 4 = 28
2m + 4 = 28
Hope it helps : )
50 Points, thanks for the help :)
Each question is related to the first question. I don't get this stuff fsr
（＞人＜；）
Answer:
See bolded for each part below.
Step-by-step explanation:
Attachment 1. (a) The range is 400 dollars, as her greatest balance was 400 dollars, so her domain would be 3 weeks.
( b ) Remember that B(0) models the balance over the course of 0 days. As you can see that starting mark is about half of the greatest balance on the graph, 400 dollars. Therefore you can estimate B(0) to be $200.
(c) B(12) models the balance over the course of 12 days. It mentions that at B(12) the balance reaches $0, so in function notation that would be B(12) = 0.
(d) Segment 4 would represent that information. As you can see on the graph, the only time period with which the balance became 0 is represented by the fourth segment.
Attachment 2. (a) As you can see on the graph, Ebony reached $400 on day 4, and stayed as such throughout day 8 (modeled by line segment 2). Therefore B(5) = 400 = B(6) = B(7).
(b) We also know that B(0) = ( About ) 200, B(4) = 400. Therefore B(1) = 250, B(2) = 300, B(3) = 350. The slope changes by a rate of 50.
(c) Jade is incorrect. By looking at the graph you can see that the rate from day 8 to day 12 is greater than the rate from day 0 to day 4.
Attachment 3. (a) I would say the amounts she deposited were less than $100 per day. Remember that from day 0 to 4 the slope is about 50. The slope of the line segment that models this situation, line segment 6, has about the same slope, 50.
(b) On day 21 she had 300 dollars, as it seems that this marking is between the starting amount (200) and 400. There are 5 days between 16 and 21. On day 16 she deposited 100 dollars. From then on she apparently deposited 50 dollars,
100 + 50 * 4 = 100 + 200 = 300 ✓
[tex]m. \: 2cos \: a = \sqrt{2 + \sqrt{2 + \sqrt{2 + 2cos \: 8a} } } [/tex]
please help me.....
I need full work!!
While this is with theta instead of A it still is the same thing. I hope this helps
Answer: see proof below
Step-by-step explanation:
Use the following Double Angle Identity:
cos 2A = 2 cos²A - 1
Proof RHS → LHS
Given: [tex]\sqrt{2+\sqrt{2+\sqrt{2+2cos8A}}}[/tex]
Factor: [tex]\sqrt{2+\sqrt{2+\sqrt{2(1+cos8A)}}}[/tex]
Let α = 4A: [tex]\sqrt{2+\sqrt{2+\sqrt{2(1+cos2\alpha)}}}[/tex]
Double Angle Identity: [tex]\sqrt{2+\sqrt{2+\sqrt{2(1+2cos^2\alpha-1)}}}[/tex]
Simplify: [tex]\sqrt{2+\sqrt{2+\sqrt{2(2cos^2\alpha)}}}[/tex]
[tex]\sqrt{2+\sqrt{2+2cos\alpha}}}[/tex]
Substitute (α = 4A): [tex]\sqrt{2+\sqrt{2+2cos4A}}}[/tex]
Factor: [tex]\sqrt{2+\sqrt{2(1+cos4A)}}}[/tex]
Let β = 2A [tex]\sqrt{2+\sqrt{2(1+cos2\beta)}}}[/tex]
Double Angle Identity: [tex]\sqrt{2+\sqrt{2(1+2cos^2\beta-1)}}}[/tex]
Simplify: [tex]\sqrt{2+\sqrt{2(2cos^2\beta)}}}[/tex]
[tex]\sqrt{2+2cos\beta}[/tex]
Substitute (β = 2A): [tex]\sqrt{2+2cos2\alpha}[/tex]
Factor: [tex]\sqrt{2(1+cos2\alpha)}[/tex]
Double Angle Identity: [tex]\sqrt{2(1+2cos^2\alpha-1)}[/tex]
Simplify: [tex]\sqrt{2(2cos^2A)}[/tex]
2 cos A
2cos A = 2cos A [tex]\checkmark[/tex]
help find x out of these 4 questions i can’t find the answer anywheew
Answer:
Option D. 11√6/2
Step-by-step explanation:
We'll begin by calculating the side opposite to angle 60°.
This is illustrated below:
Angle θ = 60°
Opposite =?
Hypothenus = 11
Using the sine ratio, we can obtain the side opposite to angle 60° as follow:
Sine θ = Opposite/Hypothenus
Sine 60 = Opposite /11
Cross multiply
Opposite = 11 × Sine 60
Sine 60 = √3/2
Opposite = 11 × √3/2
Opposite = 11√3/2
Finally, we shall determine the value of x as follow:
Angle θ = 45°
Opposite = 11√3/2
Hypothenus = x
Using the sine ratio, we can obtain the value of x as shown below:
Sine θ = Opposite/Hypothenus
Sine 45° = 11√3/2 /x
Cross multiply
x × Sine 45° = 11√3/2
Sine 45° = 1/√2
x × 1/√2 = 11√3/2
x/√2 = 11√3/2
Multiply through by √2
x = √2 × 11√3/2
x = 11√6/2
How to do this question plz answer
Answer:
The way to solve the question is:
Depth = Volume/ (Width x Length)
Volume = Depth x Length x Width
=> Volume = 12 x 15 x 5
=> Volume = 12 x 75
=> Volume = 900
Depth= 900 / (Width x Length)
=> Depth = 900/ 5 x 15
=> Depth = 900/75
=> Depth = 12
f(x)=-x^2+7x-13 {Find }f(-3) it's not -25....so if that's ur answer..it's wrong
VERY IMPORTANT THAT U CAN ANSWER AS FAST AS POSSIBLE!!!!!!! IM ON A TIME CRUNCH!!!!!!
Answer:
-43
Step-b-y-step explanation:
f(x)= -x^2+7x-13 so
f(-3)= - (-3)^2 + 7(-3) - 13
= -9 - 21 - 13
= -43.
For 12 months,Janenne has belonged to a book-of-the-month-club.Janenne has spent 70.45 on the club.The first month, she payed a monthly fee and spent an additional 10.45 on books.She has only payed the monthly fee since then.What is the initial values of the rate of change of the function
Answer:
The rate of change of the function = 5
Step-by-step explanation:
From the given parameters, we have;
The number of months Janenne has belonged to the book-of-the-month-club = 12
The amount Janenne has spent on the club = 70.45
The amount she paid in the first month = Monthly fee + 10.45
Let the monthly fee = x
The total amount Janenne has spent on the club can be given by the following formula;
10.45 + 12×x = 70.45
12×x = 70.45 - 10.45 = 60
x = 60/12 = 5
The monthly due of the book club = 5
Therefore, the rate of change of the function × 5
The function of the amount spent on the club = Y = t×x
Where;
x = The rate of change of the function
t = The time in months
The rate of change of the function = 5.
please help me on this
Answer:
The correct answer is True.
Step-by-step explanation:
Altitude: vertical distance either between the top and bottom of something or between a base and something above it.
One side of a rhombus is 20mm, and the longer diagonal is 32mm. Find the area of the rhombus.
Answer:
384 sq mm
Step-by-step explanation:
Remember that the diagonals of a rhombus are perpendicular bisectors of each other.
So, one side of the rhombus, half the longer diag and half the shorter diag form the 3 sides of a right triangle
with the rhombus side being the hypotenuse.
In this case, let the shorter diagnoal be x mm. In the right triangle,
Hypotenuse = 20
One side = 32/2 = 16
Other side = x/2
Applying Pythagoras principle,
[ check the file attatched ] (taking only the positive square root)
So the shorter diagonal = 12*2 = 24 mm
Area of the rhombus is given by the formula (1/2)*d1*d2 where d1, d2 are the 2 diagonals.
Here, the area = (1/2)*32*24 = 32*12 = 384 sq mm
Which expression is equivalent to 6 minus (negative 8)? Negative 6 + 8 Negative 6 + (negative 8) 6 + (negative 8) 6 + 8
Answer:
6+8
a negative minus a negative equals a positive and x minus a negative is addition
Answer:
6+8
Step-by-step explanation:
6 minus (negative 8)
6 - (-8)
We know that subtracting a negative is like adding
6+8
Help needed ASAP will give brainliest
Answer:
-5
Step-by-step explanation:
counting is like backwards in negatives so a +5 is slow and a +25 is high but in negatives its the opposite because you are missing that many
I dont really know who to explain it but I hope this helps
Please help I will give out brainliest
Answer:
answer in attachment
Step-by-step explanation:
Factories this problem
Answer:
This expression has no factors
Step-by-step explanation:
You can't factorize it because it has no factors.
If 14 were sqrt-able then there would have been a factor
Hello I have a question
A circular field has a diameter of 32 meters. A farmer wants to buy enough grass seed to cover the field. One box of grass seed will cover 66m Work out how many boxes of grass seed the farmer need to buy.
Write an expression to represent the sum of three times the square of a number and -7.
In your expression, what is the value of the constant?
Answer:
3x^2-7
-7 is the constant
3 is the coefficient
x is the variable
Step-by-step explanation:
(3x^2)+(-7)
what is the measure of ∠ABC? chile I'm confused
I hope this helps! :)
The answer is 120 degree
Pls mark as brainliest
Answer:
Simple 1 part 120 degrees
Step-by-step explanation:
35 divided by 4 = 8 R3
Answer:
[tex]\Large \boxed{8\frac{3}{4} }[/tex]
Step-by-step explanation:
35 ÷ 4 = 8 R3
The quotient is 8.
The remainder is 3.
The divisor is 4.
Rewrite as a mixed fraction.
[tex]\displaystyle \sf quotient \frac{remainder}{divisor}[/tex]
35 divided by 4 gives the mixed fraction 4 3/8.
We have,
35 divided by 4 = 8 R3
When we divide 35 by 4, the result is:
35 ÷ 4 = 8 with a remainder of 3.
Or, in the form of mixed fraction we can write as
Divisor x quotient / Remainder
Then, 4 3/8 is the mixed fraction.
Thus, 35 divided by 4 gives the mixed fraction 4 3/8.
Learn more about Mixed fraction here:
https://brainly.com/question/29019463
#SPJ6
Two of the angles in a triangle measure 35 and 8. What is the measure of the third angle?
Answer:
137°
Step-by-step explanation:
Total angle of a triangle:
a + b + c = 180°
35 + 8 + c = 180°
c = 180° - 43° = 137°
3 1/2+ 5 3/8 can you solve please
Answer:
71/8
8.875
8 7/8
Step-by-step explanation:
plss help me!!
A navy ship observes an illigal boat 'd' miles away to it's West. If the boat travels at a 'u' velocity towards the south , and it's given that the maximum velocity of the ship's canon is λu ( λ<1)
and the max range they can be shot at is 'v',
show that if λ^2 +(v/d)^2 <1 ,
1) that the illigal boat can avoid any harm caused by the navy ship.
( use relative velocity triangles and geometry)
Step-by-step explanation:
The problem statement says λ<1. If this is true, then the cannonball is slower than the boat, and it will never reach the boat. So I assume it's actually λ>1.
If we say t is the amount of time, then the boat travels south a distance of ut, and the cannonball travels a distance of λut.
v = λut
ut = v/λ
Using Pythagorean theorem:
d² + (ut)² > v²
d² + (v/λ)² > v²
λ²d² + v² > λ²v²
λ²d² > (λ² − 1) v²
λ² / (λ² − 1) > (v/d)²
Can you explain exponents
Answer:
Read Exp:
Step-by-step explanation:
Exponents are like a simpler way to multiply something by itself a certain amount of times.
So like if you were to see 7^4 on a test or assignment you would solve it like this:
- 7x7x7x7.
It just means 7 times itself 4 times. NOT 7 times 4.
What is the factored form of x2 + 12x – 64?
Answer:
The answer is
( x - 4)( x + 16)Step-by-step explanation:
x² + 12x - 64
To factorize the expression write 12x as a difference
That's
x² + 16x - 4x - 64
Factor out x from the expression
That's
x( x + 16) - 4x - 64
Factor out - 4 from the expression
That's
x( x + 16) - 4 ( x + 16)
Factor out (x + 16) from the expression
We have the final answer as
( x - 4)( x + 16)Hope this helps you
With work please!!!
f(x) = -x^4 + 5x - 4x^2
(f (2))^2
Answer: 484
===============================================
Work Shown:
First let's compute f(2). We replace every x with 2 and then use PEMDAS to simplify
f(x) = -x^4 + 5x - 4x^2
f(2) = -(2)^4 + 5(2) - 4(2)^2
f(2) = -16 + 5(2) - 4(4)
f(2) = -16 + 10 - 16
f(2) = -6 - 16
f(2) = -22
Then we square this result to find the value of [tex][ f(2) ]^2[/tex]
[tex]f(2) = -22\\\\\left[ f(2) \right]^2 = [ -22 ]^2\\\\\left[ f(2) \right]^2 = 484[/tex]
Simplify the expression
2(7n+5m-3m)
Answer:
2(7n+2m)
2(7n+(5m-3m))
answer: 2(7n+2m)
A high school graduating class is made up of 505 students. There 175 more girls than boys. How many boys are in the class
Answer:
165
Step-by-step explanation:
let the number of boys be x and girls be y.
But there are 175 more girls than boys, so y = x + 175
sum of boys and girls is 505
x + y = 505
and y = x + 175
x + x + 175 = 505
2x = 330
x = 165
2 multiplied by -1 divided by 2
Answer:
-1
Step-by-step explanation:
2 * -1 = -2
Then, -2 / 2 = 1
A quiz consists of 15 multiple choice questions, each with five possible answers, only one of which is correct. If a student guesses on each question, what is the mean and standard deviation of the number of correct answers
Answer:
The mean and standard deviation of the number of correct answers is 3 and 1.55 respectively.
Step-by-step explanation:
We are given that a quiz consists of 15 multiple choice questions, each with five possible answers, only one of which is correct.
Let X = the number of correct answers
The above situation can be represented through binomial distribution;
[tex]P(X = x) = \binom{n}{r}\times p^{r}\times (1-p)^{n-r}; x = 0,1,2,3,......[/tex]
where, n = number of samples (trials) taken = 15 multiple choice questions
r = number of success
p = probability of success which in our question is probability of
one correct answer out of 5, i.e; p = [tex]\frac{1}{5}[/tex] = 0.2
So, X ~ Binom(n = 15, p = 0.2)
Now, the mean of the number of correct answers is given by;
Mean of X, E(X) = [tex]n \times p[/tex]
= [tex]15 \times 0.2[/tex] = 3
And the standard deviation of the number of correct answers is given by;
Standard deviation, S.D.(X) = [tex]\sqrt{n \times p\times (1-p)}[/tex]
= [tex]\sqrt{15 \times 0.2\times (1-0.2)}[/tex] = 1.55
If the volume of a cube is 27m3 find one of it's sides
Answer:
3
Step-by-step explanation:
Cube volume formular = Side^3
27 = x^3
[tex]\sqrt[3]{27} = 3\\[/tex]
Check = 3*3*3 = 27
3 is the answer
Please help me it’s emergency please
Answer:
-17x
Step-by-step explanation:
(2x^3 - x^2) - (3x^3 - 2x^2)
(8x - 2x) - (27x - 4x)
6x - 23x
-17x
(I haven't seen many questions like this before, but I think that this may be the answer.)
Answer:
The other person is correct he should get brainliest!
Hope this helps!