Answer:
- 0.25
Step-by-step explanation:
Common ratio
[tex]r = \frac{succeeding \: term}{preceding \: term} \\ = \frac{80}{ - 320} \\ = - \frac{1}{4} \\ = - 0.25[/tex]
Given that :-
Geometric sequence → -320,80,-20,5
To find :-
Common ratio .
Solution :-
Common ratio = ar/a
→ Here a = -320
→ ar = 80
→ Common ratio = 80/-320
→ Common ratio = -1/4Let's check it →
Taking a = 80 and ar = -20
→ Common ratio = -20/80
→ Common ratio = -1/4So common ratio will be -1/4
HELPPPPP
An example of something discrete is
A.a set of friends: John, Martin, and Bill
B. a set of dice landing on 3 and 4
C. both of the above
Explanation:
Choice A is discrete because it is a finite set. There aren't infinitely many names in here.
The same goes for choice B as well. We have two items in this set { (3,4), (4,3) }. The set of all possible dice rolls is also discrete as there are 6^2 = 36 different ways to roll two dice.
An example of a set that isn't discrete, and continuous, would be the set of real numbers. In this set, we can pick any two values and find the midpoint. We can do this infinitely many times. So in a way, this set is very dense and we can infinitely zoom into a particular region. We can't do the same for a set of finitely many items.
Solve for the exterior angle in the image below?
Answer:
x = 7
Exterior angle = 139°
Step-by-step explanation:
[tex] (15x + 34) [/tex] is an exterior angle to the ∆ given.
29° and [tex] (12x + 26) [/tex] are two opposite interior angles of the ∆.
According to the external angle theorem, [tex] (15x + 34) = 29 + (12x + 26) [/tex]
Solve for x using this expression
[tex] 15x + 34 = 29 + 12x + 26 [/tex]
[tex] 15x + 34 = 29 + 26 + 12x [/tex]
[tex] 15x + 34 = 55 + 12x [/tex]
[tex] 15x + 34 - 12x = 55 + 12x - 12x [/tex]
[tex] 15x - 12x + 34 = 55 [/tex]
[tex] 3x + 34 - 34 = 55 - 34 [/tex]
[tex] 3x = 21 [/tex]
[tex] \frac{3x}{3} = \frac{21}{3} [/tex]
[tex] x = 7 [/tex]
Exterior angle = [tex] (15x + 34) [/tex]
Plug in the value of x
[tex] 15(7) + 34 = 105 + 34 = 139 [/tex]
Exterior angle = 139°
The cost of 16 television sets is $640,160. What is the cost of 1 television set? (Round off the amount to the nearest thousand and then calculate.)
Answer:
$40000
Step-by-step explanation:
640160≈640000
640000/16=40000
What is the image of the point (4,5) after a rotation of 90° counterclockwise about
the origin?
Answer:
A counterclockwise rotation of 270º about the origin is equivalent to a clockwise rotation of 90º about the origin. Given a point (4, 5), the x-value, i.e. 4 and the y-value, i.e. 5 are positive, hence the point is in the 1st quadrant of the xy-plane.
Hope it helped u if yes mark me BRAINLIEST... Plz. Plz plz!
Tysm!
Given m<1+m<2=180
Prove: L||M
PLEASE HELP ME!! uwu
Answer:
a 1 vertical angles
2 converse of the same side interior angle theorem
Step-by-step explanation:
<1 = <3 because they are vertical angles
Vertical angles are opposite angles formed by the same lines and sharing a vertex
<2 + <3 = 180
converse of the same side interior angle theorem
If the angles on the same side between two lines add to 180, this is the same side interior angle theorem
Eli has a number cube. Each side has a different number: 1, 2, 3, 4, 5, or 6. Eli will roll the number cube once. What is the probability he will roll a 4?
Answer:
E. is the correct^
Step-by-step explanation:
You are playing basketball with your friends. The height (in feet) of the ball above the ground t seconds after a shot is released from your hand is modeled by the function f(t)= -16t^2 + 32t + 5.2. What is the value of t when the ball is released from your hand ?
Answer:
Value of (t) = 0
Step-by-step explanation:
According to the scenario no time has passed.
t = 0
Given:
f(t)= -16t² + 32t + 5.2
When t = 0
So.
f(t)= -16t² + 32t + 5.2
f(0)= -16(0)² + 32(0) + 5.2
f(0) = 5.2 feet
there are twelve months in every year. The number of years is x. The number of months is y.
Answer:
12x = y
Step-by-step explanation:
12 months per x
12x
this means
12x = y
Hope that helped!!! k
simplify 6+7x-4-3x-11
Answer:
4x-9
Step-by-step explanation:
6+7x-4-3x-11
Combine like terms: 7x-3x = 4x
:6-4-11 = -9
Combine them together and you get 4x-9
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Subtract 4 from 6
7 x +2-3x-11
Subtract 3x from 7x
4x+2-11
Subtract 11 from 2
4x-9
What information do you need to accurately describe a translation
Answer:
make sure you have a good understanding of the subject you are translating, and that the translation is for that subject
To make a bow out of ribbon, Carrie needs 1
1
4
yards of ribbon. If Carrie bought 8
3
4
yards of ribbon at a sale, how many bows could she make?
Answer:
7 bows
Step-by-step explanation:
I will assume that the numbers are [tex]1\frac{1}{4}[/tex] and [tex]8\frac{3}{4}[/tex]. To find the answer, we can do:
[tex]8\frac{3}{4} / 1\frac{1}{4}\\ = \frac{35}{4} / \frac{5}{4} \\= \frac{35}{4} * \frac{4}{5}\\= \frac{35}{5}[/tex]
= 7 bows
just need help with this problem
Please please help I would give anything just please help and check if I’m right it’s algebra 2
Answer:
In no 4 you have written option B but it should be option C. All of the other except it is correct.
For any positive integer n, the sum of the first n positive integers equals n ( n 1 ) 2 . What is the sum of all the even integers between 99 and 301
Answer:
The sum of all the even integers between 99 and 301 is 20200
Step-by-step explanation:
For the sum of all the even integers between 99 and 301, this can be calculated using the formula for Sum of n terms in an Arithmetic Progression (AP)
Sum of n terms in an AP [tex]S_{n}[/tex]= [tex]\frac{n }{2}[ 2a + (n - 1)d][/tex]
Where [tex]n[/tex] is the number of terms
[tex]a[/tex] is the first term
and [tex]d[/tex] is the common difference
The AP for the sum of all the even integers between 99 and 301 will look like
100 + 102 + 104 + ... + 300
[tex]a[/tex] = 100
[tex]d[/tex] can be calculated by taking the difference of the first two terms or any two consecutive terms of the AP
Hence, [tex]d[/tex] = 102 - 100 = 2
[tex]n[/tex] can be determined from the formula used to calculate the Last term of an AP
[tex]l = a + (n - 1)d[/tex]
Where [tex]l[/tex] is the last term
In the AP, the last term, [tex]l[/tex] = 300
Then
[tex]300 = 100 + (n - 1)2\\300 - 100 = (n - 1)2\\200 = (n - 1) 2\\(n - 1) = 200 / 2\\n - 1 = 100\\n = 100 + 1\\n = 101[/tex]
Hence, there are 101 terms in the AP
Now, to determine the sum
[tex]S_{n}[/tex]= [tex]\frac{n }{2}[ 2a + (n - 1)d][/tex]
[tex]S_{n} =\frac{101}{2}[ 2(100) + (101 - 1)2]\\ S_{n}=\frac{101}{2}[ 200 + (100)2]\\ S_{n}=\frac{101}{2}[ 200 + 200]\\S_{n}=\frac{101}{2}[ 400]\\S_{n} = 20200[/tex]
Hence, the sum of all the even integers between 99 and 301 is 20200
If 11 is added to the square of a number, the result is 92
Answer:
Algebraic expression ; 11+x^2 =92
Solved answer = 9
Step-by-step explanation:
Let the unknown number be x ;
[tex]11 + x^2 = 92[/tex]
Solve for x ; Collect like terms ;
[tex]x^2 = 92-11\\\\x^2 = 81[/tex]
Square root both sides ;
[tex]\sqrt{x^2} = \sqrt{81} \\\\x = 9[/tex]
please help :(
Write a story for this equation: $10 - $4.05 = c.
Answer:
Mr Singh went to the shops to buy some Coke. He wanted a $10 dollar pack which had 12 coke cans. He had a coupon which took off $4.05. Using the information above, what did Mr Singh pay?
Answer:
Step-by-step explanation:
John is given $10 pocket money. After spending $4.05 in the local store he has c dollars left.
How do I find the slope to this equation ?
2х-Зу = 12
Answer:
slope = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x - 3y = 12 ( subtract 2x from both sides )
- 3y = - 2x + 12 ( divide all terms by - 3 )
y = [tex]\frac{2}{3}[/tex] x - 4 ← in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex]
Answer:
2/3
Step-by-step explanation:
Slope of the equation is determined as per slope-intercept form:
y = mx +bBring the given equation to mentioned form:
2x - 3y = 12 ⇒ make y the subject3y = 2x - 12 ⇒ divide all terms by 3y = 2/3x - 4 ⇒ this is the slope-intercept formSince m = 2/3, it is the slope of the given equation
4
3x + 2(x - 5) = 25
Check your Solution
Answer:
x = 7
Step-by-step explanation:
3x + 2(x - 5) = 25
→ Expand brackets
3x + 2x - 10 = 25
→ Add the 'x's together
5x - 10 = 25
→ Add 10 to both sides to isolate 5x
5x = 35
→ Divide both sides by 5 to isolate x
x = 7
Solve the following word problem
The width of a rectangular parking lot is 20 meters less than the length. The perimeter is 200
meters. Find the length and the width.
Answer:
Length=60 meters, width=40 meters.
Step-by-step explanation:
If the perimeter of the rectangular is 200 that means length*width=100. So we take 50 and add 10 and subtract 10. So the width is 40 and the length is 60
two out of four snowmen built by young children have carrots for noses. what percentage or snowmen have carrots for noses??
A) 20%
B)40%
C) 50%
D) 100%
Algebraically determine each of the following for the function y=16 - 4x(squared). A) the x and y intercepts if any. B) the symmetry type (x axis, y axis, origin, or neither.)
Answer:
A) x intercept: (2, 0) , (-2, 0)
y intercept: (0, 16)
B) symmetric about y axis
Step-by-step explanation:
Given the function:
[tex]y=16-4x^{2}[/tex]
To find:
Algebraically, A) find the x and y intercepts and B) the symmetry type.
Solution:
A) x intercept, let us put y = 0
[tex]y=16-4x^{2}[/tex]
[tex]0=16-4x^{2}\\\Rightarrow 4x^2=16\\\Rightarrow x^2=4\\\Rightarrow x =+2, -2[/tex]
x intercept: (2, 0) , (-2, 0)
For y intercept, put x = 0
[tex]y=16-4x^{2}[/tex]
y = 16 - 0 =16
y intercept: (0, 16)
B) If the quadratic equation is given as: [tex]y=ax^2+bx+c[/tex],
the axis of symmetry is a vertical line [tex]x=-\frac{b}{2a }[/tex]
Here, c = 16
b = 0 and
a = -4
So, Axis of symmetry is:
[tex]x=-\dfrac{0}{2\times (-4)} = 0[/tex]
which is the equation of y axis.
So, given equation is symmetric about y axis.
difference of squares factoring ( please show work) :)
p2 - r2 = 0
Step-by-step explanation:
p² − r² = 0
(p − r) (p + r) = 0
p = r or -r
Points W, K, and are collinear.
Line CA and line YK intersect at .
Point is not contained on line m.
Answer:
1) J, k and w
2)Y
3) ONE
Step-by-step explanation:
The three collinear points on line m are
✔ J, K, and W
.
Point
✔ Y
is not on line m.
✔ One
line(s) could be drawn through points P and X.
Answer:bcd
Step-by-step explanation:
Does anyone know this?
Answer:
The input cannot be repeated, unlike the output which doesn't really matter if it is repeated in other words a function is a relation in which each input has only one output. Therefore the answer to this is A
Step-by-step explanation:
Write a verbal sentence to represent the equation
X/4+8=-16
Answer:
The sum of X divided by 4 and 8 is -16.
Step-by-step explanation:
The main numbers we are adding are X/4 and 8, so those can be referred to as "the sum of". X/4 is simply "X divided by 4".
This all equals -16, so we have:
The sum of X divided by 4 and 8 is -16.
Solve for x:
3/4 + 2/3 + 8/9 = 2 x/36
Algebra 2
Answer:
x = 11
Step-by-step explanation:
Steps as below:
3/4 + 2/3 + 8/9 = 2 x/363*9/4*9 + 2*12/3*12 + 8*4/9*4 = 2 x/3627/36 + 24/36 + 32/36 = 2 x/3683/36 = 2 x/362 11/36 = 2 x/36x= 11A function is called from the main function and then it calls itself five times. The depth of recursion is
Answer: five.
Step-by-step explanation: The depth of a recursion or Recursive statement can simply be explained as the maximum number of times a function calls itself until the stopping condition is met. In the scenario above, the number of times the function calls itself is five hence the depth of recursion will be five. A Recursive function or algorithm involves repetitive calling of itself( that is the Recursive function) until the condition to stop is met, hence the number of times the fuction has to call itself before the stopping condition is satisfied is called the depth of the Recursive algorithm.
explain: Let's solve for x. labc=x−32 Step 1: Flip the equation. x−32=abcl Step 2: Add 32 to both sides. x−32+32=abcl+32 x=abcl+32 Answer: x=abcl+32
Answer:
x=abcl+32
Step-by-step explanation:
We need to solve for x for the below expression :
labc=x−32
Fisrt let's flip the question.
x-32=abcl
Add 32 on both the sides
x-32+32=abcl+32
We know that -32+32 = 0
x = abcl+32
So, the value of x is abcl+32.
Please answer this correctly, because I will know If the answer Is wrong. If It's right, I'll give out brainliest.
Answer:
113⁶ × 37³ × 51¹²
Step-by-step explanation:
(113² × 37 × 51⁴)³ =
113²ˣ³ × 37³ × 51⁴ˣ³ = ⇒ power of the power is the product of powers
113⁶ × 37³ × 51¹² ⇒ answer, no more simplifications possible
A triangle has sides of lengths 9, 7, and 12. Is it a right triangle? Explain.
Answer:
No, [tex] 9^2 +7^2 \neq 12^2 [/tex]
Step-by-step explanation:
[tex] 9^2 +7^2 = 81+ 49 =130...(1)[/tex]
[tex] 12^2 = 144...(2)[/tex]
From equations (1) & (2) it is obvious that:
[tex] 9^2 +7^2 \neq 12^2 [/tex]
Thus, the given is not a right triangle.