Kayaker=12.5, so 12 knots
Commercials=9 commercials per hour
Dog= 7 miles
Tutoring=750 dollars
The 15th term of an arithmetic sequence is 21 and the common difference is -4.
(a) Find the first term of the sequence.
(b) Find the 29th term of the sequence.
(c) Find the sum of the first 40 terms of the sequence.
Answer:
a. Firat term of the sequence= 77
b. 29th term of the sequence= -35
c. Sum of the first 40 terms of the sequence= -40
Step-by-step explanation:
The first term of the sequence is 77, the 29th term of the sequence is -35 and the sum of the first 40 terms of the sequence is -40.
Given that, [tex]a_{15} =21[/tex] and d=-4.
What is the nth term of the arithmetic sequence?The nth term of the arithmetic sequence is [tex]a_{n} =a+(n-1)d[/tex].
To find the first term of the sequence:
[tex]a_{15}[/tex]=a+(15-1)(-4)
⇒21=a+(15-1)(-4)
⇒a=77
To find the 29th term of the sequence:
[tex]a_{29}[/tex]=77+(29-1)(-4)=-35
To find the sum of the first 40 terms of the sequence:
The first n terms of a sequence [tex]=\frac{n}{2}[2a+(n-1)d)][/tex]
[tex]S_{40} =\frac{40}{2}[2 \times77+(40-1)(-4))][/tex]
=20(154-156)=-40
Therefore, the first term of the sequence is 77, the 29th term of the sequence is -35 and the sum of the first 40 terms of the sequence is -40.
To learn more about the arithmetic sequence visit:
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hello please help prize is brainliest
Answer:
1.) Four
2.) Six
3.) Three
Step-by-step explanation:
Can i get brainliest im one away from becoming an expert
Multiply (4x+2)(2x+6)
What is the middle term of the simplified answer?
Answer:
28x
Step-by-step explanation:
Use foil to get
8x^2 +28x+12
middle term is 28x
How many solutions does the equation
2 + 6(2 - 4) = 3x 18 + 3x have?
A infinite
B 0
C 1
D 2
Keisha's teacher gives her the following information:
• m, n, p, and q are all integers and p = 0 and q +0
• A= and B=;
What conclusion can Keisha make?
Answer: b
Step-by-step explanation: b
can u guys help me with this
Answer:
Step-by-step explanation: Finding the height can be solved using a simple formula using the length of the base and the area. You should multiply length times area! hope this helps.
what are the next two terms in the sequence?: 1, -2, 4, -8
Answer:
16 and -32Step-by-step explanation:
-2÷1 = -2
4÷(-2) = -2
-8:4 = -2
So this is a geometric sequence with a common ratio of -2
Therefore:
the 5th term: -8×(-2) = 16
the 6th term: 16×(-2) = -32
i will give brainliest tovthe first person that answers
Answer:
hii
Step-by-step explanation:
your kitchen clock has a radius of 8 inches. you want to know how much it will cost to cover the outside edge of the clock in silver that costs $2.50 per inch.
Answer:
31 cents
Step-by-step explanation:
do 2.50 divided by 8 which is 31 cents per inch
A water park keeps track of the number of times each visitor goes down water slides during their visit . The data shows the number of times 12 visitors went down a water slide.
4, 22, 16, 10, 11, 20, 20, 12, 6, 3, 11, 1
Create a histogram of this data.
To create a histogram, hover over each age range on the x-axis. Then click and drag up to plot the data.
Answer:
Refer to image
Step-by-step explanation:
When creating a histogram it is best to create a range for the different variables that are available.
So for the sake of covering all the possible ranges from 1 - 22, let's divide it into 5 categories.
0 - 5
6 - 10
11 - 15
16 - 20
21 - 25
Now that we have set ranges for the different variables, we then find the frequencies.
0 - 5 : 3
6 - 10 : 2
11 - 15 : 3
16 - 20 : 1
21 - 25 : 3
Now that we have all the values we can then create our histogram
/
which of these expression is equivalent to -2(3-y)
[tex]( - 6 + 2y)[/tex]
answer the question
Find the lateral area of the cone to the nearest whole
number.
Answer:
lateral area = pi x radius x slant height
slant height = 40^2 + 30^2 = 1600 + 900= [tex]\sqrt{2500}[/tex] = 50
3.14 x 30 x 50 = 4710m^3
Hope that answers your question
Don't hesitate to leave a comment if you are confused about something
Step-by-step explanation:
image is right there please help
Answer:
Step-by-step explanation:
Can you at least put the questio here
The grocery store has 19.2 pounds of rice. If the rice is divided equally into 8 bags, how many pounds of rice will be in each bag?
Answer:
2.4 pounds
Step-by-step explanation:
19.2 pounds÷ 8 bags= 2.4 pounds per bag
HELP FOR BRAINLIST!!!!!!!!!
Answer:
literally none of these are correct i'm in college and none of these are right. bro talk to your teacher
Step-by-step explanation:
The above equation is equal to 6c x 3. NONE OF YOUR OPTIONS SIMPLIFY TO THAT???
The expression w4 - 36 is equivalent to
A (W2 – 18)(w2 – 18)
B (w2 + 18)(w2 – 18)
C (w2 - 6)(w2 – 6)
D (w2 + 6)(w2 – 6)
The equivalent expression of [tex]w^{4} -36[/tex] is [tex](w^{2} -6)(w^{2} +6)[/tex].
What is equivalent expression?Equivalent expressions are expressions that work the same even though they look different.
According to the given question.
we have an expression [tex]w^{4} -36[/tex]
The equivalent expression of the above expression can be given by
[tex]w^{4} -36[/tex]
⇒ [tex](w^{2}) ^{2} -(6)^{2}[/tex]
⇒[tex](w^{2}-6)(w^{2} +6)[/tex] (by using the property [tex]a^{2} -b^{2} = (a-b)(a+b)[/tex] )
Hence, the equivalent expression of [tex]w^{4} -36[/tex] is [tex](w^{2} -6)(w^{2} +6)[/tex].
Thus, option D is correct.
Find out more information about equivalent expression here:
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the product of a number and two more than the number .. what is the expression?
100 points
Choose the different ways that a graph can be misleading.
The y-axis starts at zero and uses consistent intervals.
Different bar heights are used on the same graph.
The y-axis doesn't start at zero.
The intervals on the y-axis are too large.
Different bar widths are used on the same graph.
The y-axis starts at zero but has different intervals.
Just a little note you put 50 points and not 100
The y-axis doesn't start at zero.
The intervals on the y-axis are too large.
Different bar widths are used on the same graph.
The y-axis starts at zero but has different intervals.
Answer:
The y-axis starts at zero and uses consistent intervals.
Step-by-step explanation:
Janet walks 950 metres every day. Determine what distance would Janet walk in an entire week. Express your answer in kilometres. (Remember to show your work
Answer:
6.65 kilometers
Step-by-step explanation:
950 * 7 days a week = 6650 meters
6650 meters / 1000 (conversion to kilometers) = 6.65 kilometers
Answer:
6.65 km
Step-by-step explanation:
Let's solve this in a set of fraction forms. Since 1 day is 950 meters, 1 week will be converted to days to be on equal grounds. 1 week = 7 days. Therefore, let us set up a fraction; Let "x" be the variable
[tex]\frac{950}{1}=\frac{x}{7}[/tex]
Step 1: Switch sides
[tex]\frac{x}{7}=\frac{950}{1}[/tex]
Step 2: Apply rule [tex]\frac{a}{1}=a[/tex]
[tex]\frac{x}{7}=950[/tex]
Step 3: Multiply both sides by 7
[tex]\frac{7x}{7}=950\cdot \:7[/tex]
Step 4: Simplify
[tex]x=6650[/tex]
Expressed: [tex]\frac{6650 meters}{1000}[/tex] (convertion to kilometers) = 6.65 kilometers
Therefore, Janet would walk 6.65 km in an entire week
What are some sources of new mathematical symbols that have been widely used?
does anyone mind helping me with this please?
A triangle has side length measurements of 7 ft., 2 ft., and 5
feet. Can this form a triangle? Explain why or why not.
Answer:
No
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
2 + 5 is only equal to 7
not greater than 7
Find the measure of the
indicated angle
Answer:
45
Step-by-step explanation:
180 in a triangle,
110 + 25 = 135
add on 45 = 180
what are the first three terms of the sequence defined by the following function?
f(n)=41+(n-1)^5
Answer:
41, 40 and 9Step-by-step explanation:
[tex]f(n)=41+(n-1)^5\\\\f(1)=41+(1-1)^5=41\\\\f(2)=41+(2-1)^5=41-1=40\\\\f(3)=41+(3-1)^5=41-32=9[/tex]
Please help asap will mark brainliest!!!!
Answer:
2,600.00
Step-by-step explanation:
How do you calculate this?
Answer:
hdwhdbehqj
Step-by-step explanation:
223499
3344rbjee
The woods behind Adam's house were 12 miles wide and 25 miles long. What is the area and perimeter
of the woods?
Answer: Perimeter = 74
Step-by-step explanation:
PLEASE HELP....ITS DUE TOMORROW !!!!
Answer:
Aired
Step-by-step explanation:
Help me plsssssss????
Answer:
CBD is 120 degrees
Step-by-step explanation:
x=30
4x30+30+30=180
Answer: 120°
Step-by-step explanation:
x + 4x + x = 180° (Since the sum of a straight line is 180°)
6x = 180°
x = 30°
To find the angle of 4x, we need to multiply 4 x 30°
120°
in a game the player wins if he rolls a 4 on a number cube if the numbered cube is rolled 24 times then what is the reasonable prediction for the number of unsuccesful rolls
If you roll a numbered cube once, your chance of getting a 4 is 1/6. If you roll twice, your chance of getting a 4 is 2/12. If you roll three times, your chance of getting a 4 is 3/18. You see the pattern here? Try it yourself and see if you can get it! If you can't understand it, let me know and I'll give you the answer!
(I like to try and help before I just give the answer straight away!)