Answer:
[tex]a_{n}[/tex] = 6n + 1
Step-by-step explanation:
This is an arithmetic sequence with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 13 - 6 = 7 and d = 6 , then
[tex]a_{n}[/tex] = 7 + 6(n - 1) = 7 + 6n - 6 = 6n + 1
Answer:
the first few terms would be
7, 13, 19, 25, 31
nth term = 7 + 6(n+1)
nth term = 7+ 6n + 6
nth term = 6n + 13
What is the explicit formula for the sequence 10, 15, 22.5, 33.75, …?
Answer:
Step-by-step explanation:
Since there's no one one number you can add to one number in the sequence to get to the next number, this is not arithmetic. It must be geometric. We need then to find the common ratio. Let's start with the first 2 numbers, find a ratio, and then use it to test for accuracy.
10x = 15 and
x = [tex]\frac{15}{10}=\frac{3}{2}[/tex] If this is in fact a geometric sequence witha common ratio of 3/2, we should be able to multiply 15 by 3/2 to get to the next number in the sequence. Let's try it out:
[tex]15(\frac{3}{2})= \frac{45}{2}=22.5[/tex] Good. So the common ratio is 3/2. The formula for an explicit geometric formula is
[tex]A_n=a_1(r)^{n-1[/tex] where a1 is the first number in the sequence and r is the common ratio. Filling in:
[tex]A_n=10(\frac{3}{2})^{n-1[/tex]
Given the following quadratic equation, find the average rate of change
for the interval (1,3]. *
f(x)= 3x^2
A hat contains slips of paper with the names of the 26 other students in Eduardo’s class on them, 10 of whom are boys. To determine his partners for the group project, Eduardo has to pull two names out of the hat without replacing them.
What is the probability that both of Eduardo’s partners for the group project will not be boys?
StartFraction 9 Over 65 EndFraction
StartFraction 24 Over 65 EndFraction
StartFraction 64 Over 169 EndFraction
StartFraction 128 Over 325 EndFraction
Answer:
24/65
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
edge 2023
PLEASE HELP MEE 1616,
What is the value of f in the equation 7f-1=6
Answer:
f = 1
Step-by-step explanation:
7f-1=6
Add 1 to each side
7f-1+1=6+1
7f = 7
Divide each side by 7
7f/7 = 7/7
f = 1
Triangle ABC is reflected across x = 1 and y = -3. What are the coordinates of reflection image of A after both reflections
Answer:
(1,0)&(0,-3)
Step-by-step explanation:
might be not sure..
For EASY BRAINLIEST!!! Please help.
Question: When 6 is added to four times a number, the result is 42. Find the number
Step-by-step explanation:
Let x be the number
6+4x=42
4x=36
x=9
!!!!!!!
Find the median of the given data 60cm,56cm,45cm,50cm,54cm,51cm,52cm,48cm,46cm,53cm
6.perimeter of the given shape above is
a) 20 feet
b) 40 feet
c) 30 feet
d) 25 feet
e) 10 feet
first ,length(l)=14 feet,
bredth(b)=6feet.
now, perimeter = 2(l+b)
=2(14+6)
= 2×20
= 40 feeet
Hope this helps you....
A cookie factory monitored the number of broken cookies per pack yesterday.
Answer:
Confidence Interval - 2.290 < S < 2.965
Step-by-step explanation:
Complete question
A chocolate chip cookie manufacturing company recorded the number of chocolate chips in a sample of 50 cookies. The mean is 23.33 and the standard deviation is 2.6. Construct a 80% confidence interval estimate of the standard deviation of the numbers of chocolate chips in all such cookies.
Solution
Given
n=50
x=23.33
s=2.6
Alpha = 1-0.80 = 0.20
X^2(a/2,n-1) = X^2(0.10, 49) = 63.17
sqrt(63.17) = 7.948
X^2(1 - a/2,n-1) = X^2(0.90, 49) = 37.69
sqrt(37.69) = 6.139
s*sqrt(n-1) = 18.2
[tex]s\sqrt{\frac{n-1}{X^2 _{(n-1), \frac{\alpha }{2} } }[/tex] [tex]\leq \sigma \leq s\sqrt{\frac{n-1}{X^2 _{(n-1), 1-\frac{\alpha }{2} } }[/tex]
confidence interval:
(18.2/7.948) < S < (18.2/6.139)
2.290 < S < 2.965
Which expression is equal to 4?
Answer:
D
Step-by-step explanation:
When taking an esponent to an exponent multiply them
4 ^(1/3)^3 = 4^1 = 4
Find the distance between the two points in simplest radical form (-3,-2), (-8,4)
Answer:
√61
Step-by-step explanation:
Which describes the
correlation shown in the scatterplot? help pls
Answer:
B
Step-by-step explanation:
There is a negative correlation. The direction of a line if we plot it generally through thi scatter plot would be going down, negative.
Answer:
Negative Correlation
Step-by-step explanation:
Because the graph shows that the y axis is on 4 and then goes down to 2
Point E is located at (-1,6) and point F is located at (3,9). What are the coordinates of point that partitions the directed line segment EF in a 3 : 2 ratio?
Answer:
(7/5, 39/5)
Step-by-step explanation:
you could use this formula:
(m₁x₂ + m₂x₁ / m₂+m₁ , m₂y₂ + m₂y₁ / m₂+m₁)
where m₁ = 3 (from the ratio)
m₂ = 2 (from the ratio)
x₁ = -1
x₂ = 3
y₁ = 6
y₂ = 9
= [3(3) + 2(-1) / (3+2)], [3(9) + 2(6) / (3+2)]
= (9-2) / 5, (27+12) / 5
= (7/5, 39/5)
If f(x)=-4^2-6x-1 and g(x)=-x^2-5x+3 find (f-g)(x)
Given:
The functions are:
[tex]f(x)=-4x^2-6x-1[/tex]
[tex]g(x)=-x^2-5x+3[/tex]
To find:
The function [tex](f-g)(x)[/tex].
Solution:
We have,
[tex]f(x)=-4x^2-6x-1[/tex]
[tex]g(x)=-x^2-5x+3[/tex]
We know that,
[tex](f-g)(x)=f(x)-g(x)[/tex]
[tex](f-g)(x)=(-4x^2-6x-1)-(-x^2-5x+3)[/tex]
[tex](f-g)(x)=-4x^2-6x-1+x^2+5x-3[/tex]
Combining like terms, we get
[tex](f-g)(x)=(-4x^2+x^2)+(-6x+5x)+(-1-3)[/tex]
[tex](f-g)(x)=-3x^2+(-x)+(-4)[/tex]
[tex](f-g)(x)=-3x^2-x-4[/tex]
Therefore, the required function is [tex](f-g)(x)=-3x^2-x-4[/tex].
The diagonal of a TV is 26 inches long. Assuming that this diagonal forms a
pair of 30-60-90 right triangles, what are the exact length and
width of the TV? PLEASE HURRY
Answer:
D
Step-by-step explanation:
30-60-90
Hypotenuse = 26
one side is half.
the other side is 1/2[tex]\sqrt{3}[/tex]
Mark rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 5.
I have more q if you get this right will Pay 5 everything is in the picture also leave your contact info.
Answer:
bottom right and the middle one from the left
Answer:
c
Step-by-step explanation:
Need helppp pls!!!!
Answer:
130º
Step-by-step explanation:
it seems like this would make a circle which adds up to 360º so first add the two numbers (150+80=230) then subtract from the amount it should be (360-230=130)
How many solutions does the equation sin(5x) = 1/2 have on the interval (0,2pi]?
Answer:
1/2 has two solutions for 5x
Step-by-step explanation:
But if you add 2pi, 4pi, 6pi, 8pi to the solutions then divide by 5, you get 10 solutions for x
Which one of the following is a non-profit financial intermediary?
Leasing company
Mutual fund
Credit union
Investment bank
Answer:
The answer is Credit union
Step-by-step explanation:
Help i will give brainliest to the best answer.
Answer:
-2
Step-by-step explanation:
1. reduce the numbers by taking out the greatest common factor which is 9.
2. taking out 9 leaves you with [tex]-8[/tex] multipied by 1/4
Answer:
-2
Step-by-step explanation:
[tex](-\frac{8}{9} )[/tex] ÷[tex](\frac{4}{9})[/tex]
changing division sign to multiplication and doing reciprocal
[tex]-\frac{8}{9}*\frac{9}{4}[/tex]
9 and 9 gets cancel so,
[tex]-\frac{8}{4}[/tex]
4 divides 8 exactly by 2 and keep minus sign as it is
-2
A, B and C are corners of a parallelogram
A= (-2,3) B=(3,2) C=(5,-3)
What are the co-ordinates of D, the 4th corner?
Answer:
Step-by-step explanation:
in a parallelogram diagonals bisect each other.
so mid points are same.
Let coordinates of D be (x,y)
mid point of AC=midpoint Of BD
(-2+5)/2=(x+3)/2
x+3=-3
x=-3-3=-6
x=-6
(3-3)/2=(2+y)/2
y+2=0
y=-2
so D is (-6,-2)
The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y - 4 = 1/4(x - 8). What
iS the slope-intercept form of the equation for this line?
O y = 1/4x- 12
O y= 1/4x-4
O y= 1/4x+2
O y= 1/4x+6
Answer:
3rd option
Step-by-step explanation:
The equation of a line in point slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Given
y - 4 = [tex]\frac{1}{4}[/tex] (x - 8)
with m = [tex]\frac{1}{4}[/tex] and (a, b) = (8, 4 )
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept ) , then
y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
To find c substitute (8, 4) into the partial equation
4 = 2 + c ⇒ c = 4 - 2 = 2
y = [tex]\frac{1}{4}[/tex] x + 2 ← equation in slope- intercept form
Can you please help. Evaluate angles d and e, giving reasons for your answer.
Answer:
<d = 25 degrees and <e = 130 degrees
Step-by-step explanation:
We have a vertical angle, so the opposite sides of this angle are the same. This means that the angle opposite to 25 degrees also measures 25 degrees. We have one angle of the triangle. Since the triangle is isosceles, the angle d is the same as 25 degrees.
<d = 25 degrees
The interior angles of a triangle add up to 180 degrees, and we now have 2 angles, so:
<e = 180 - 25 - d
<e = 155-25
<e = 130 degrees
Answer:
<d = 25 degree and <e = 130 degree
Step-by-step explanation:
Let <d, <e and <f be the respective angles
<f = 25 degree (Vertically opposite angles are equal)
side fe = side ed (given)
Therefore, <f = <d (angles opposite to equal sides are equal)
Therefore, <d = 25 degree
<d + <e + <f = 180 degrees (Angle sum property)
25 + 25 + <e = 180
50 + <e = 180
<e = 180 - 50
<e = 130 degree
Therefore, <d = 25 degree and <e = 130 degree
Hope u understood
Please mark as brainliest
Thank You
Find the equation of the line that passes through the points (4,
11) and (-1,1). Write your answer in slope-intercept form. Bonus points for
writing it in the two other forms (make sure you label which form is which).
Step-by-step explanation:
the slope = (1-11)/(-1-4) = -10/(-5) = 2
the equation is : y -11 = 2(x-4)
=> y -11 = 2x -20
y = 2x -8 +11
y = 2x +3
other forms :
<=> 2x - y = -3
<=> 2x - y + 3 = 0
In the diagram below, DE is parallel to xy. What is the value of x?
115
E
*
xº
Y
A. 115
B. 85
C. 105
D. 65
The measure of the angle x will be 65°. Then the correct option is B.
What is an angle?Corresponding angle – If two lines are parallel, then the third line. The corresponding angles are equal angles.
Linear angle – If the total of two angles is 180 degrees, they are said to be linear angles.
Let y be the corresponding angle of x and linear pair of 115°.
∠y + 115° = 180°
∠y = 65°
Then the angle y and angle x are corresponding angles. Then we have
∠x = ∠y
∠x = 65°
Then the correct option is B.
The complete question is given below.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
Answer: 65
Step-by-step explanation:
help asap pls ----------------------------------- Also tell me the graph from the second/third photo not the equation
Answer:
graph "B"
at 0 graph = -1200 that is the production cost
Step-by-step explanation:
22/9 divided by 8, please hurry test is timed!
Answer:
0.30(5)
the 5 is repeating
Step-by-step explanation:
calculator
Please please please help me
Answer:
2nd option
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
P (- 8, 1 ) → P' (- 8, - 1 )
Q (- 6, - 8 ) → Q' (- 6, 8 )
R (4, - 3 ) → R' (4, 3 )
What is the volume of this container 4 ft2 2 ft3 2 ft2 4 ft3
Answer:
2 [tex]ft^{3}[/tex]
Step-by-step explanation:
volume of a cuboid = length * breadth * height
= 2*1*1
=2 [tex]ft^{3}[/tex]
Answer:
The volume of container is 2 ft ³.
Step-by-step explanation:
We have,
Length = 1 ft .Breadth = 1 ft.Height = 2 ft.We have Formula, Volume of Cuboid.
[tex] \small \sf \mapsto \: Volume = length × breadth × height[/tex]
substitute the values
[tex] \small \sf \mapsto \: Volume = 1 ft × 1 ft × 2 ft[/tex]
multiply the values
[tex] \small \sf \mapsto \: Volume = 2 \: ft {}^{3} [/tex]
Hence, the volume of container is 2 ft ³.