I need help with this plz help me
Answer:
Please check the explanation.
Step-by-step explanation:
1) Writing the equation of the pattern
Figure 1 has 4 circles.
Figure 2 has 7 circles.
Figure 3 has 10 circles.
Thus, the sequence becomes
4, 7, 10,...
Finding the common difference between the adjacent terms
d = 7 - 4 = 3, d = 10 - 7 = 3
As the common difference is the same, so this represents the Arithmetic sequence.
so
d = 3
as
a₁ = 4
Thus, the nth term of the Arithmetic sequnce is
aₙ = a₁ + (n-1)d
aₙ = 4 + (n-1)3
aₙ = 4 + 3n - 3
aₙ = 1 + 3n
2) Determining the circles in the 23rd figure
As the nth term is given by
aₙ = 1 + 3n
putting n = 23
a₂₃ = 1 + 3(23)
a₂₃ = 1 + 69
a₂₃ = 70
3) Determining the figure having 82 circles
As the nth term is given by
aₙ = 1 + 3n
Given
aₙ = 82
To determine
n=?
Thus,
aₙ = 1 + 3n
82 = 1 + 3n
3n = 82-1
3n = 81
Dividing both sides by 3
n = 27
Therefore, 27th figure will have 82 circles.
PLEASE HELP PLS
Which of the following lineat functions have a rate of change that is greater than 14?
Answer
The third table has a gradient of 20, so third table is one of them.
The other one is the last case, For an hour, Fahim earning $1010 so that is the rate per hour.
Step-by-step explanation:
Can someone please write an equation to model this scenario which relates to the first two questions. I need it ASAP!
Matt works at a job where he makes a base pay of $200 per week and $50 per sale. (Use an x and a y. Y is the total amount he makes and x is the number of sales.)
: )
Answer:
y = 50x + 200
Step-by-step explanation:
the 200 is the y intercept because it is where his pay starts, so even if Matt doesnt make any sales he will still get 200 that week
the slope (50) is determined because that is what will change
if he makes 2 sales he will make 100 + 200 that week, and if he makes 4 sales he will make 200 + 200 that week and so on
pls help me with this question.
Answer:
Option B
Step-by-step explanation:
Slope = Change in y / Change in x
Slope = (8 - 2) / {6 - (-4)}
Slope = 6 / (6 + 4)
Slope = 6 / 10
Slope = 3 / 5
So option B is your answer
Kendra knits hats. She starts with 334 yd of yarn. After knitting for 514 h, there is 118 yd of yarn left. At what rate does the amount of yarn change? Show your work.
Answer:
Step-by-step explanation:
Total yarn = 334 yards
Amount remaining = 118 yards
Amount knitted = 512
amount per hat =x
amount used = y
amount used = 334 - 118 = 514*x
y= 216= 514x
216 = 514 x Divide by 514
216/514 = x
.42 yards/hat = x
Simplify the following expression:
3x (7x-4)-(x-8)
Answer:
=21x2−13x+8
Step-by-step explanation:
=3x(7x−4)+−1(x−8)
=3x(7x−4)+−1x+(−1)(−8)
=3x(7x−4)+−x+8
Distribute:
=(3x)(7x)+(3x)(−4)+−x+8
=21x2+−12x+−x+8
Combine Like Terms:
=21x2+−12x+−x+8
=(21x2)+(−12x+−x)+(8)
=21x2+−13x+8
Answer:
[tex]=21x^{2} -13x+8[/tex]
Step-by-step explanation:
Hurry please!
How do you put 14 1/2 into a calculator without the '/' ?
Answer:
well you do 1 divided by 2 which is 0.5
Step-by-step explanation:
The length of a rectangle is 2 feet less than 4 times the width. The area is 256ft2. Find the dimensions of the rectangle.
Answer:
[tex]W = 8.255[/tex]
[tex]L = 31.02[/tex]
Step-by-step explanation:
Let L = Length and W = Width.
So:
[tex]L = 4W - 2[/tex]
[tex]Area = 256[/tex]
Required
Find L and W
Area is calculated as:
[tex]Area = L * W[/tex]
Substitute 4W - 2 for L and 256 for Area
[tex]Area = (4W - 2) * W[/tex]
[tex]256 = (4W - 2) * W[/tex]
Open Bracket
[tex]256 = 4W^2 - 2W[/tex]
Divide through by 2
[tex]128 = 2W^2 - W[/tex]
Equate to 0
[tex]2W^2 - W - 128 = 0[/tex]
An equation [tex]aw^2 + bw + c = 0[/tex] has the roots
[tex]W = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 2[/tex] [tex]b = -1[/tex] [tex]c = -128[/tex]
So:
[tex]W = \frac{-(-1)\±\sqrt{(-1)^2 - 4*2*-128}}{2*2}[/tex]
[tex]W = \frac{1\±\sqrt{1 +1024}}{4}[/tex]
[tex]W = \frac{1\±\sqrt{1025}}{4}[/tex]
[tex]W = \frac{1\± 32.02}{4}[/tex]
[tex]W = \frac{1+ 32.02}{4}[/tex] or [tex]W = \frac{1 - 32.02}{4}[/tex]
[tex]W = \frac{33.02}{4}[/tex] or [tex]W = \frac{-31.02}{4}[/tex]
[tex]W = 8.255[/tex] or [tex]W = -7.755[/tex]
But the dimension can not be negative.
So:
[tex]W = 8.255[/tex]
Recall:
[tex]L = 4W - 2[/tex]
[tex]L = 4 * 8.255 - 2[/tex]
[tex]L = 31.02[/tex]
in the sequence 11, 13,15,17 the first term is and the 4th term is ?
PLS HELP
Answer:
Isnt the
Step-by-step explanation:
Isnt the first term 11
And the 4th 17 lol
can someone check these and tell me which ones are in the wrong column, thanks
Answer:
∠2 and ∠5 should not be Alternate exterior angles. ∠2 and ∠11 can be Alternate exterior angles if that is an option. The rest is correct. As for consecutive interior angles, you have (∠3 and ∠9), (∠4 and ∠10), (∠7 and ∠13) and (∠8 and ∠14).
Step-by-step explanation:
Alternate exterior angles are basically like the angles that are the combination of a vertically opposite angle and a corresponding angle. Since the vertical lines are not parallel, ∠2 and ∠5 cannot be Alternate exterior angles.
Consecutive interior angles are any pair of angles that are within a pair of parallel lines and add up to 180°.
17 times 0.0167. Can someone solve this step by step
Answer:
0.2839
Step-by-step explanation:
Can you tell me what part you are stuck on?
Answer:
0.2839
Step-by-step explanation:
-First, move the decimal over 4 places to the right to make 0.0167 into a whole number, which will turn into 167.
-Now, multiply 17 times 167 to get 2839.
-Finally, since the decimal from 0.0167 was moved 4 places to the right, it needs to be moved back 4 places to the left. Once it was moved back 4 places to the left, the answer should now be 0.2839
Hope this helps! :)
help for brainliest plsssssssssssssssssssssssssssssssssss
Answer:
32 canned goods per tub. There was one can left over.
Step-by-step explanation:
Answer:
32 in each tub with 1 left over I'm pretty sure
Step-by-step explanation:
think about how many times 5 can 161, then see what the number left over is. In this case, 5 can go into 161, 32 times with 1 left over
Ivette buys a pack of 8 birthday cards for $1.20 using the nickels shown below. How much does he spend on each card??
Answer:
15 cents or 5 nickels
Step-by-step explanation:
It’s $1.20 for 8 birthday cards so you do 1.20 divided by 8.
1.20 divided by 8 is 0.15 which is 15 cents. 15 cents is equal to 5 nickels.
Hope this helps :)
PLEASE HELP ME HURRY
2/5 of the class is male
40% of the class is male
3/5 of the class is female
60% of the class is female
Not sure if this is right, but this is what I got.
What is the distance from L to M?
Answer:
B or A
But i would go with B
Step-by-step explanation:
Answer:
A. 14 units
Step-by-step explanation:
You can just count blocks down and right. (vertical and horizontal)
6th Grade Math Homework!
Will give brainiest!
15 Points!!
Please solve
ONLY ANSWER IF YOU HAVE THE ANSWERS
Don't need to explain
Keep in mind there are 2 pictures!
PLEASE HELP!! AND FAST!!
Hot dogs come packed 10 in a package. Hot dog buns come packed 8 in a package.
If we want one hot dog for each bun for a picnic, with none left over, what is the least amount of each we need to buy?
How many packages of each item would we have to buy?
Answer:
5 hot dogs packs at least and 4 buns packs at least
Step-by-step explanation:
which shows the use of the associative property?
Answer:
The correct answer is Option 2:
[tex]7+(\frac{1}{5}+n) = (7+\frac{1}{5})+n[/tex]
Step-by-step explanation:
Associative property consists of three quantities. Associative property for addition states that the result of adding three numbers will be same no matter what the order of addition is.
Let a,b and c be three numbers
Then associative property can be stated as:
[tex]a+(b+c) = (a+b)+c[/tex]
Now looking at the options it can be observed that the following choice shows the associative property
[tex]7+(\frac{1}{5}+n) = (7+\frac{1}{5})+n[/tex]
Hence,
The correct answer is Option 2:
[tex]7+(\frac{1}{5}+n) = (7+\frac{1}{5})+n[/tex]
Answer:
its B
Step-by-step explanation:
i got it right on Edg
What is the first step in solving the following system of equations?
3 x + y = 23.
8 x + 2 y = 23.
Answer:
Solve the first equation for y
Step-by-step explanation:
What is negative 3/2 divided by 11/6?
Answer: 0.81818181818
Step-by-step explanation:
Answer:
-9/11
Step-by-step explanation:
You have to find the reciprocal of the number you're dividing by. In your case the number you are dividing by is 11/6. Just flip 11/6 to get the reciprocal, and the multiply it by -3/2. 6/11 is the reciprocal of 11/6.
[tex]-\frac{3}{2} * \frac{6}{11} = -\frac{18}{22}[/tex]
Simplify by dividing by 2.
-9/11 is the answer.
HOPE THIS HELPS!!
Bobby was painting a sign that was 2 3/4 feet by 1 1/2 feet. Use the model to help find the area of the sign.
What was the area of the sign in square feet?
A. 4 1/4 square feet
B. 4 1/8 square feet
C. 3 1/4 square feet
D. 3 1/8 square feet
Answer:
4 1/8 square feet
Step-by-step explanation:
Area= l*b assuming that it's a rectangle or a square
2 3/4* 1 1/2= to do this we need to convert these mixed fractions to improper fractions (How to convert-Multiply the whole number part by the fraction's denominator. Add that to the numerator. Then write the result on top of the denominator.)
so, 2 3/4 converted will be- 11/4
& 1 1/2 converted will be- 3/2
11/4*3/2=33/8
Now we need to convert this into a mixed fraction again, coz the question was given in that form. (How to convert-Multiply the whole number part by the fraction's denominator. Add that to the numerator Then write the result on top of the denominator.)- so,
The ans would be 4 1/8 sqft
50 points! PLEASE HELP WITH THIS! Show how you got the answers!!! WIll mark as brainliest!!! DONT ANSWER IF YOU DONT KNOW IT!!
Answer:
8. 9.1
9. 12.2
Step-by-step explanation:
8. let x represent the missing side:
Using pythagoras theorem;
13.3² = x² + 9.7²
x² = 13.3² - 9.7²
x² = 82.8 taking the square root of both sides;
x = 9.1
9. let y represent the missing side:
Using pythagoras theorem;
y² = 10² + 7²
y² = 149 taking the square root of both sides;
y = 12.2
A lion needs to eat at least 15 pounds of food each day. The zoo feeds the lion using canisters that each contain 3 pounds of food. The lion has already consumed 9 pounds of food. How many more canisters x of food does the lion need to eat? Write your answer as an inequality.
Answer:
15 lbs total
1 canister - 3 lbs
lion has already consumed 9 pounds, "3 x 3 canisters of food"
15 - 9 = 6
6/3 = 2
the person needs to feed the lion 2 more canister
ANSWER IS 2
Step-by-step explanation:
Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years. (4 points)
Number of years 1 2 3
Option 1 (amount in dollars) 1100,1210,1331
Option 2 (amount in dollars) 1100 ,1200,1300
Answer:
Option 1:
f(n) = 1000(1.1)ⁿ
Option 2:
1000 + 100n
Can someone help me with both these answers I’m marking brainliest
Answer:
X = 12/60%
60% = 0.6
X = 12/0.6
X = 20.
For the second one, multiply 350 by 0.02, which is just 2% in decimal form.
350*0.02 =7
That's 7 eggs.
Hope this helps!
What is 3 /49 as a decimal?
Answer: 3/49 as a decimal is 0.06122
In order for Josh to graph the solution to the inequality 4x - 2y > 6, which of the following steps does he need to use? Select all that apply.
Shade above the line.
Solve the inequality as y < 2x-3.
Draw the line y=2x-3 as a solid line.
Draw the line y=2x-3 as a dashed line.
Shade below the line.
Solve the inequality as y> 2x-3.
Solve the inequality as y < 2x-3.
Draw the line y=2x-3 as a dashed line.
Shade below the line.
Josh needs to follow the steps to draw the required inequality graph.
Solve the inequality y < 2x - 3 by solving for the x and y-interceptDraw the straight line y < 2x - 3 as a dashed line (since we have less than sign )Shade below the line. (Below the line are shaded for inequality sign that is "less than")Inequality expressions are expressions that are not separated by an equal sign.
Given the inequality expression 4x - 2y > 6,
Dividing through by 2 will give:
4x/2 - 2y/2 > 6/2
2x - y > 3
Make y the subject of the formula
-y > -2x + 3
y < 2x -3
For Josh to plot the inequality graph of y < 2x - 3, he needs to follow the process;
Solve the inequality y < 2x - 3 by solving for the x and y-interceptDraw the straight line y < 2x - 3 as a dashed line (since we have less than sign )Shade below the line. (Below the line are shaded for inequality sign that is "less than")Learn more here: https://brainly.com/question/6874464
EASY POINTS FOR Y'ALL!!!!!!
Answer:B
Step-by-step explanation:
Answer:
D, is the correct answer!!
Step-by-step explanation:
Which part of this graph shows a nonlinear relationship?
Depth of water
2
3
Time
A. 2.
B. 1
C. 3
O D. 4
The non-linear relationship is shown in part 1 of the graph. Then the correct option is B.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
In the given graph we can see the variation in the depth of the water with respect to time. In the first part, the relation is non-linear because the graph is curved.
In the remaining parts, there are straight lines which are showing linear relationships.
Hence, the correct option is B.
To know more about graphs follow
https://brainly.com/question/25020119
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Can you show steps on how to do 2 – 8x = -22 ? Thank you!
Answer:
x squared = 8x
Step-by-step explanation:
Move
8
x
to the left side of the equation by subtracting it from both sides.
x
2
−
8
x
=
0
Factor
x
out of
x
2
−
8
x
.
Tap for more steps...
x
(
x
−
8
)
=
0
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to
0
.
x
=
0
x
−
8
=
0
Set the first factor equal to
0
.
x
=
0
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
8
The final solution is all the values that make
x
(
x
−
8
)
=
0
true.
x
=
0
,
8