Answer:
The term rule will be:
[tex]a_n=n+21[/tex]
Step-by-step explanation:
Given the sequence
[tex]22, 23, 24, 25, ...[/tex]
Computing the common difference of all the adjacent terms
[tex]22,\:23,\:24,\:25[/tex]
[tex]23-22=1,\:\quad \:24-23=1,\:\quad \:25-24=1[/tex]
As the difference between all the adjacent terms is the same and equal to
[tex]d=1[/tex]
The first element of the sequence
[tex]a_1=22[/tex]
We know that An Arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting [tex]a_1=22[/tex], and [tex]d=1[/tex] in the nth term to get the term rule
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]a_n=\left(n-1\right)+22[/tex]
[tex]a_n=n+21[/tex]
Therefore, the term rule will be:
[tex]a_n=n+21[/tex]
Solve for the variables
Answer:
P = 32
x = 35
Step-by-step explanation:
For the first diagram,
The two angles given are corresponding angles. Corresponding angles are equal;
So;
the first angle is a right angle triangle;
90 = 3P - 6
3P = 90 + 6
3P = 96
P = 32
For the second diagram;
The sum of those two angles is 180°
(x + 75) + 2x = 180
x + 2x + 75 = 180
3x + 75 = 180
3x = 180 - 75
3x = 105
x = 35
what is the slope of (7,-8) and (9,9).....
Answer:
(7,8) = 0,0) (−6,6)
(5,4) (−9,7)
(0,1) (1,0)
(9,9) = (0,9) (8,6)
(−5,9) (3,0)
(1,−2) (3,6)
Elena wants to make a scale drawing of her bedroom using the scale 4cm to 1m. If Wall A in the drawing is 10 cm long, what is the actual length? *
Answer:
2.5m
Step-by-step explanation:
Given the equation
4x + 2y = 10 (standard form), what is the slope-intercept form of this equations?
Answer:
y=-2x+5
Step-by-step explanation:
hope i helped
Answer:
Y=2x+5
Step-by-step explanation:
Move the variable (x) to the right
2y= 10-4x
divide both sides of the equation by 2
y=5-2x
and then reorder the terms
y=-2x+5
:)
I need to know if 198 to 1287 and 2 to 13 are equivalent ratios
yes they are equivalent
Step-by-step explanation: try dividing 198 and 1287 and the same to 2 and 13 you should get the same for both.
Let a = 8i + 2j, b = –3i + j, and c = 2i – 5j, where i and j are unit vectors.
What is 4a + 2b – 9c in terms of i and j?
8i – 35j
8i – 2j
8i + 53j
8i + 55j
Answer:
D
Step-by-step explanation:
The value of the vector (4a + 2b – 9c) as per scaler multiplication of vector method is 8i + 55j.
What is vector?A vector is a physical quantity that has both magnitude and direction.
What is unit vector?A vector that has magnitude of 1 is called unit vector.
Given, a = 8i + 2j, b = –3i + j, and c = 2i – 5j.
In order to find the value of the vector (4a + 2b – 9c) in terms of i and j, we need to perform scaler multiplication of vector.
Here, i and j are unit vectors.
Therefore: (4a + 2b – 9c)
= 4(8i + 2j) + 2(–3i + j) - 9(2i – 5j)
= (32i + 8j - 6i + 2j - 18i + 45j)
= (8i + 55j)
Therefore, Option(D) is correct answer.
Learn more about vector here: https://brainly.com/question/25544738
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Need help with this. Please
Answer: 14
Step-by-step explanation:
It seems Line AC bisects that angle so we know that 7x=-3x+20 so to figure out x we solve this equation to get 10x=20 and x=2 from there we input the x into BAC to get m<BAC=14
Please help and answer
Answer:
B) 4(6x) and 24x are equivalent.
I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking as Brainliest. Have a great day!
pleaseee help
will mark BRAINLIEST
Answer:
(2,-1) is the answer
Step-by-step explanation:
my aunt told me ::(())
Answer:
(2,-1)
Step-by-step explanation:
79 questions dang
2,996 ÷ 11
What is the quotient and remainder
Answer:
2,996 ÷ 11 = 272.36
Step-by-step explanation:
Two groups of students order hamburgers and hot dogs at a local restaurant. The first group orders 3 hamburgers and 4 hot dogs for a total cost of $30.33. The second group orders 3 times as many hamburgers as the first group and 5 hot dogs. The second group’s total is $63.06. What is the cost of a hamburger at this restaurant?
Answer:
3.63666666667 or about $3.64
Step-by-step explanation:
63.06 - 30.33 = 32.73(this is the price for 9 hamburgers)
32.73/9 = 3.63666666667(The price for hamburgers.)
Label the parts of the graph listen item bank or some important labels for sections of the image below to find out more information about labels some have more details available when you click on them drag and drop each label to the corresponding area it identifies in the image
Answer:
The point in the middle at (0,0) is the origin. The line that goes up and down is the y-axis. The lign that goes left to right is the x axis. The y intercept is at (0,-5). The x intercept is at (6,0).
Step-by-step explanation:
The answer is attached.
What are intercepts?The point where the line or curve crosses the axis of the graph is called intercept.
xy-axes:- The x and y-axis are two important lines of the coordinate plane. The x-axis is a horizontal number line and the y-axis is a vertical number line.
xy-intercepts:-
If a point crosses the x-axis, then it is called the x-intercept. If a point crosses the y-axis, then it is called the y-intercept.
For more references on intercepts, click;
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A rectangle has a length that is 3 more than twice the width. It's perimeter is 96 inches
Answer:
L=33in
W=15in
Step-by-step explanation:
Step one:
given
let the width be x
W=x inches
L= 2x+3 inches
perimeter= 96inches
Step two:
Required
the dimensions of the rectangle
The perimeter is
P=2L+2W
96=2(2x+3)+2(x)
open bracket
96=4x+6+2x
collect like terms
96-6=6x
90=6x
divide both sides by 6
x=90/6
x=15 in
The width is 15 in
The length
L=2x+3
L=2(15)+3
L=30+3
L=33in
Answer:
2 (w) + 2(2w + 3) = 96
Step-by-step explanation:
Pls help .............
Answer:
Top one
Step-by-step explanation:
pls help, will gove brainiest to whoever answers all
Consider the line y=- 2x+7.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
the slope is rhe same -2
Step-by-step explanation:
the slope is the opposite +1/2
write the slope intercept form of the equation of the line that goes through the point (5,-6) and has a slope of 2
Answer:
y = 2x - 16
Step-by-step explanation:
Slope-intercept form: y = mx + b
Given:
Slope(m): 2
Point: (5, -6)
To write the equation in slope-intercept form we need to find the slope(m) and the y-intercept(b).
Since we were given the value of the slope, the only thing we have to do is find the y-intercept. To do this, input the values of the slope and the given point into the equation and solve for b:
y = mx + b
-6 = 2(5) + b
-6 = 10 + b
-16 = b
The y-intercept is -16.
Now that we know the slope and the y-intercept, we can write the equation:
y = 2x - 16
Can someone help me with this question? I am willing to give brainliest + 20 points. Please explain WHY you think this answer is correct so I can have a better understanding.
Answer:
The third
I think its the third because everyone added to the left is -2 from the right
Answer:
The answer is A becuase the initial value is what y is when x = 0 and if you see the pattern between 10 and 8 and also 8 and 6 you see the rate of change is -2. Just add 2 to y when x = 1 so 10 + 2 is 12 which gives the answer A.
Step-by-step explanation:
Please help!!
What is the maximum value of 3x + 5y in the feasible region?
(3, 7)
(0,7)
(6, 3)
(6, 0)
Answer:
Minimum value is 18
It occurs at P(6,0)
Step-by-step explanation:
The given objective function is
The vertices of the feasible region are .
We plug in the vertices in to feasible region and evaluate to obtain,
P(0,7) = 3(0) + 5(7)
P(0,7) = 0+35
P(0,7) = 35
P(3,7) = 3(3) + 5(7)
P(3,7) = 9+35
P(3,7) = 44
P(6,3) = 3(6) + 5(3)
P(6,3) = 15+15
P(6,3) = 33
P(6,0) = 3(6) + 5(0)
P(6,0) = 18+0
P(6,0) = 18
Two angles are complementary. The measure of one angle is 15 ° more than twice the other. What is the measure of the smaller angle? 1) 25 ° 2) 35 ° 3) 55 ° 4) 65 °
Answer:
1) 25 °
Step-by-step explanation:
Two angles are complementary when the measure of the angles between sum up to 90°;
Given;
Angle 1 = a
Angle 2 = b
a = 15 + 2b
Angle a + Angle b = 90°
15 + 2b + b = 90
15 + 3b = 90
3b = 90 - 15
3b = 75
b = 25°
the length of the floor is 32 m longed than it’s witdth and there is greater than 200 square meters. You will cover the floor completely with tiles. what will be the possible dimension of the floor?
with solution po sana ty pooooo
Answer:
Step-by-step explanation:
The area of the floor A = Length * Width
Given
A = 200 square meters
If the length of the floor is 32 m longed than it’s width then;
L = 32+W
A = LW
200 = (32+W)W
200 = 32W + W²
W²+32W-200 = 0
W = -32±√32²+800/2
W = -32±42.71/2
W = -32+42.71/2
W = 10.71/2
W = 5.35 m
L = 32+5.35
L = 37.35m
Hence the dimension is 5.35ft by 37.35m
Write the square root for each number
Step-by-step explanation:
7=2 8=12 10=10 11=9
Answer:
√(4) is 2
√(100) is 10
√(144) is 12
√(81) is 9
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
2/3
Step-by-step explanation:
Isabella has $9 in a savings account. The interest rate is 10%, compounded annually. To the nearest cent, how much interest will she earn in 3 years?
what is the value of f(x)=2/3x + 4 when x = 9
Answer:
10
Step-by-step explanation:
Given
f(x) = [tex]\frac{2}{3}[/tex] x + 4 ← substitute x = 9
f(9) = [tex]\frac{2}{3}[/tex] × 9 + 4
= 2 × 3 + 4
= 6 + 4
= 10
one day less than three weeks is how many days?
Answer:
21
Step-by-step explanation:
multiply 7 by 3=
7x3=21
jadas turtle walked 10 feet then half that length
Answer:
he walked 15 feet in total
Step-by-step explanation:
I'm not sure if u asked a question or not
Write an expression for "777 times rrr."
Answer:
7^3 x r^3
Step-by-step explanation:
What is the slope and the y-intercept of the graph of the linear function shown on the grid ?
Answer:
Slope: -1/4; Y-Intercept: 1.5
Step-by-step explanation:
Step 1: Find the slope. The best way to do this is to transform the two given points to y=mx+b form. When given two points, the best way to find the slope will be to do y2-y1/x2-x1. In this equation it would be -2-0/2+6, which is -2/8, simplified is -0.25 or -1/4. So we have the slope, which can determine the length of the line.
Step 2: Find the Y-Intercept. Finding the Y-intercept is so much simpler when given a graph, since all you have to do is find where the line goes through the y-axis, which in this case is (0,1.5), meaning that the y-intercept is 1.5 (note: the y-intercept can also be found when x=0, for example (0,9).
Hope this helped, good luck!
What’s the slope,y-intercept, transformations of (-) and (2)
