The first 5 terms of the arithmetic sequence are: 5, 9, 13, 17, 21.
How to find the first 5 terms?Here we have an arithmetic sequence, such that the recursive formula is:
[tex]a_n = a_{n- 1} + 4[/tex]
Such that:
a₁ = 5.
Using that formula we can get the next 4 terms. For the second term we use n = 2, so we get:
[tex]a_2 = a_1 + 4 = 5 + 4 = 9[/tex]
For the third term we have:
[tex]a_3 = a_2 + 4 = 9 + 4 = 13[/tex]
For the fourth term we have:
[tex]a_4 = a_3 + 4 = 13 + 4 = 17[/tex]
For the fifth term we have:
[tex]a_5 = a_4 + 4 = 17 + 4 = 21[/tex]
Then the first 5 terms of the sequence are:
5, 9, 13, 17, 21.
If you want to learn more about sequences, you can read:
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Which equations are correct? Select each correct answer.
6a5(6a5)=36a25
6b4(−3b4)=−18b8
5x4(4x2)=20x6
3z7(4z2)=12z9
Answer:
2, 3, 4,
Step-by-step explanation:
I took the k12 quiz and i remeber putting these as my answer.
Hope this helps!
(3.15x10^4) (5.15x10^-7 express the result as a decimal
Answer: 1.62225 x 10^-2 or 0..0162225
Step-by-step explanation:
(7y - 23)
(23x - 16)
(8x – 21)
In need of help ASAP
I don’t get this problem at all-
Answer:
2nd option
Step-by-step explanation:
If AB is a tangent to the circle then ∠ B is right angle
Using the converse of Pythagoras' identity.
If the square of the longest side is equal to the sum of the squares on the other 2 sides, then the triangle is right
longest side = 52 and 52² = 2704
48² + (10 + 10)² = 48² + 20² = 2304 + 400 = 2704
Then AB is a tangent to the circle since ∠ B is a right angle
11. Which could be the table of values that was used to graph the function of x shown below?
Answer:
D
Step-by-step explanation:
Here, we want to select the possible table of the given line
Let us look at the intercepts
On the x-axis, we have an intercept at x = 2
On the y-axis, we have an intercept at y = -4
This means that when y = 0, x = 2 and when x = 0, y = -4
Looking at the options, the table that supports this answer is the table of option D
b. 21.8°
5. Find the measure of the angle to the nearest tenth of a degree.
cos Y=0.5135
30.9
c.
1.7. In a Maths class, the girl to boy ratio is 7:5.
If there are 20 boys, how many girls are in the class?
Answer:
28 girls
Step-by-step explanation:
Let total students be ‘X’
No of girls = (X-20)
Girls/Boys=7/5=(X-20)/20
7(20) =5(X-20)
140=5X-100
5X=240
X = 240/5
X =48
So, Total Students are 48
No of girls = (X-20) = 48-20 = 28
Which polygons are similar?
1
2
3
4
Triangle 1 and 4 are similar using AAA
number one and four.......
should I be worried about my upcoming exams?
Answer:
i don't know but I am I have them Monday I'm pretty sure I will fail in math but you'll be good
Step-by-step explanation:
brainlyest please I'm trying to get my thing up
A ping-pong ball rolls forward 6 meters to the right, and bounces backward 3 meters to the left. It traveled a total displacement of.
Answer:
a displacement of 3 meters.
Step-by-step explanation:
you move 6 meters to the right, then 3 meters to the left
6 - 3 = 3
displacement is the distance away from the starting point
The ball traveled a total displacement of 3m.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
<------------6m----------------->
Ball ____________________
Ball_________
<------3m------>
Distance traveled by the ball.
= 6 m + 3m
= 9 m
Displacement is the shortest distance traveled by the ball.
= 6 - 3
= 3m
Thus,
Displacement is 3m.
Learn more about expressions here:
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Which statements are true about the x-intercepts of quadratic functions?
All quadratic functions have exactly one x-intercept.
An x-intercept is located at the point on the function where the value of x is 0.
A quadratic function can have up to two x-intercepts.
An x-intercept of a quadratic function is also called a zero of the function.
If x = 0 is an x-intercept of a quadratic function, then (x + a) is a factor of the function.
Answer:
Step-by-step explanation:
The following statements are true:
1. A quadratic function can have up to two x-intercepts.
2. An x-intercept of a quadratic function is also called a zero of the function
Am I right please tell me I really NEED IT
Answer:
it would 13
Step-by-step explanation:
19-6=13 there you go
Construct the following shapes:
A concave hexagon with one angle of 45⁰ and one side length of 4 cm.
A trapezoid ABCD where AB = 8cm, and CD = 4 cm. What is the measure of each internal angle (use your protractor to measure)?
[To be solved on grid paper]
answer this question! i am having some trouble in khan..
Maribel pidio 100 refrescos a una tienda,los de naranja se los vendieron a $35.00 y los de cola a $38.00 si pago en total $3620 cuantos refrescos de naranja pideo
Answer:
the number of orange sodas be 60
Step-by-step explanation:
Let us assume the orange ones be x
And, the cola ones be y
Now according to the question
x + y = 100
y = 100 - x.........(1)
35x + 38y = $3,620........(2)
Now put the value of equation 1 in equation 2
So,
35x + 38(100- x) = 3620
35x + 3800 - 38x = 3620
-3x = -180
x = 60
Hence, the number of orange sodas be 60
How does dating violence affect health? Click all that apply.
Answer:
b. c. d
Step-by-step explanation:
Answer:
Some teens are at greater risk than others.
For example, youth who are victims of teen dating violence are more likely to experience symptoms of depression and anxiety. Engage in unhealthy behaviors, like using tobacco, drugs, and alcohol. Exhibit antisocial behaviors, like lying, theft, bullying, or hitting.
Step-by-step explanation:
Yes all 3 you choose are correct
Please someone help, I know its kind of a lot, but I need these answers fast pls.
Using the graphing calculator, type in the table and complete a linear regression. The value of the correlation coefficient is found next to the letter (__) in the table. The value of the correlation coefficient is (__) [round to the hundredths place]. When the correlation coefficient is interpreted, it means that the correlation is (__) and (__). This means the points will be (__) [close or further away] to the line.
Answer:
Im not sure
Step-by-step explanation:
GOOD LOOK ON YOUR TEST HE DISCONN-ECTED
what's the total price paid on a softball bat that costs $129.95 with a sales tax rate of 6.5%
Answer:
about $84.47
Step-by-step explanation:
6.5%=0.65
129.95x0.65=84.4675
=84.47
A rectangular prism has a length of 4 inches, a height of 5 inches, and a width of 19 inches. What is its volume, in cubic inches?
Answer:
380 cubic inches
Step-by-step explanation:
The basic formula is length x width x height, so it's pretty simple, you just do 4 x 19 x 5! The order doesn't matter as long as it's just the length worth and height
I, sometimes do length x width, then use the answer for that and multiply it by the height (So that I can break it down)
Anyone know how to answer this question
Answer:
x²+y²=225
Step-by-step explanation:
when centered at the origin the equation of a circle is x²+y²=r²
we are given x and y so 9²+12²=r²
[tex]r^{2} =9^{2} +12^{2}\\ =81+144\\ =225[/tex]
Find the area of the semicircle
Answer:
3.92yd
Step-by-step explanation:
pi r²÷2
pi 2.5²÷2=3.92
What is the difference in a SSS Postulate (side-side-side) and SAS Postulate (Side-angle-side)? How do i know which one its going to be? Thanks!!!
What are the length and width of the rectangle?
(picture included)
Answer:
a or c
Step-by-step explanation:
I don’t know ask for help sorry don’t blam this on me
what is the length of LK?
Answer:
26 i think
Step-by-step explanation:
The Riddle Family has a total monthly budget of $3,400. If the utilities represent 15% of the budget, then how much money is the Riddle Family spending on
utilities each month?
Answer: $510
Step-by-step explanation:
Total monthly budget = $3,400.
Percentage of total budget spent on utilities = 15%
The amount that the Riddle Family spending on utilities each month will then be:
= 15% × $3400
= 15/100 × $3400
= 0.15 × $3400
= $510
Answer:
0.15 * 3400 = $________ utilities cost per month
Multiply the monthly cost by 12.
can someone help with just question 3 and 4 i will give brainliest
please help me please will give brainliest
Answer:
[tex]16\sqrt{17}[/tex]
Step-by-step explanation:
The perimeter is two times width plus two times length:
[tex]2\sqrt{17} + 2\cdot 7\sqrt{17} = 2\sqrt{17} + 14\sqrt{17} = 16\sqrt{17}[/tex]
There is no way to simplify further.
Not sure how to do this one. Could use some help!
Answer:
0<x<3 and 8<x<9
Step-by-step explanation:
Increasing intervals always relate to x-values. The increasing interval is from (0,3) and (8,9).
Hillary, Ashley, Will, and Carlton were planning a surprise anniversary party for Viv and Phillip. The trip was going to cost the kids a total of $8000. Hillary was willing to pay for 30% of the trip. Carlton was willing to pay for ¼ of what Will paid. Will was going to pay for 2/5 of the trip, and Ashley was going to pay for the rest of the trip. a) Create an equation that could be used to determine how much each person paid for the trip. b) Determine how much each person paid for the trip.
Answer:
Hillary 2400
carlton 800
will 3200
ashley 1600
Step-by-step explanation:
hillary 30% of 8000 ---- 8000:100×30=2400
will 2/5 of 8000 8000:5×2=3200
carlton 1/4 of will's---- 3200:4=800
ashley: rest, which is 8000-(2400+3200+800)=8000-6400=1600
I need help with some scientific notation problems
Answer:
1) 4.5 x 10^3 =4,500
2)5.78 x 10^-2
3) 5.7 x 10^1 = 57
4) 6.256 x 10^-3 = 0.006256
5) 7.3 x 10^2 = 730
6) 4.2 x 10^-5 = 0.000042
7) 7x10^-3 = 0.007
8) 2.563 x 10^1
9) 3.0025 x 10^2 = 300.25
10) 1.456 x 10^-1
