In an AP with 18 terms the common difference is $-3$−3 . If the nth term is $-5$−5, what is its first term?
Answers
Answer:
46
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here d = - 3 and [tex]a_{18}[/tex] = - 5 , thus
a₁ + (17 × - 3) = - 5
a₁ - 51 = - 5 ( add 51 to both sides )
a₁ = 46
Answer:
a = 46
Step-by-step explanation:
Refer to the attachment.
Related Questions
Billy has a bag of 30 marbles must choose only six marbles to bring for show and tell what is the size of the sample space in this experiment
Answers
Answer:
593775
Step-by-step explanation:
M is between L and N. If LN = 91 and LM = 23, find MN.
Answers
Answer:
MN = 68
Step-by-step explanation:
LN = 91
LM = 23
Points L, M, and N are collinear, therefore, according to the segment addition postulate, the following can be deduced:
LM + MN = LN
23 + MN = 91 (Substitution)
Subtract 23 from both sides
23 + MN - 23 = 91 - 23
MN = 68
Peter purchases a baseball card for $150 as an investment. His research tells him that the value of
the card should double every 3 years. When will the card reach a value of $ 4000?
Answers
Answer:
6 years
Step-by-step explanation:
Given
[tex]Initial\ Investment = 150[/tex]
[tex]Ratio = double[/tex]
Required
When will it get to 4000
This question illustrates a geometric progression and will be solved using:
[tex]T_n = ar^{n-1}[/tex]
In this case;
[tex]T_n = 4000[/tex]
[tex]r = double = 2[/tex]
[tex]a = 150[/tex]
So, we're to solve for n
[tex]4000 = 150 * 2^{n - 1}[/tex]
Divide through by 150
[tex]\frac{4000}{150} = 2^{n-1}[/tex]
[tex]26.67= 2^{n-1}[/tex]
Take Log of both sides
[tex]Log26.67= Log2^{n-1}[/tex]
Apply law of logarithm
[tex]Log26.67= ({n-1})Log2[/tex]
Take Log values
[tex]1.42602301569 = (n - 1) * 0.30102999566[/tex]
Make n - 1 the subject
[tex]n - 1 = \frac{1.42602301569}{0.30102999566}[/tex]
[tex]n - 1 = 4.73714591984[/tex]
Add 2 to both sides
[tex]n = 1 + 4.73714591984[/tex]
[tex]n = 5.73714591984[/tex]
[tex]n = 6[/tex] (Approximated)
Hence, it'll take 6 years
You need to buy some chicken for dinner tonight. You found an ad showing that the store across town has it on sale for $2.79 a pound, which is cheaper than your usual neighborhood store, which sells it for $3.19 a pound. Is it worth the extra drive?
Answers
5^7/5^5 hurrrrrrrrryyyyyyyyyyyyy
Answers
Answer:
25
Step-by-step explanation:
PLEASE HELP! An angle's measure is equal to 24 less than its complement. Find the measure of the angle.
Answers
The Larger complement angle is 57 degrees and Small angle is 33 degrees.
Given about the complement angles.
Complement angles means, the two angles will add up to 90 degrees.
Then angles is x+(x-24)=90
⇒2x=90+24
⇒2x=114
⇒x=57
So, the larger angle is 57 degrees.
small angle is 90-57=33 degrees.
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By treating savings as an ___ it guarantees that you will save the money instead of spending it
Answers
does the number 15/3 belong to the set of natural/counting numbers?
Answers
If r=8 units and h=11 units, what is the volume of the cylinder shown above? Use 3.14 for pi. HELP ME
Answers
Answer:
The answer is
2210.56 units³Step-by-step explanation:
Volume of a cylinder is given by
V = πr²hwhere
r is the radius of the cylinder
h is the height
From the question
r = 8 units
h = 11 units
Substitute the values into the above formula and solve
V = 3.14(8)²(11)
= 3.14(64)(11)
= 3.14 × 704
We have the final answer as
V = 2210.56 units³
Hope this helps you
Solve each literal equation for the given variable y=x+12;x
Answers
Answer:
Step-by-step explanation:
x + 12 = y
x = y - 12
PLZ HELLLLLLPPPPPPPP!
WILL MARK BRAINLIEST!!!!!
Answers
Answer:
more than one than its a and b but only one than its a
6[12-(5+2)]+6(4•|-6|)
Answers
A map scale shows that 3 km = 2 cm. How many cm would represent 15 km on the map?
cm
Answers
Answer:
3 = 2
15 = 10
10 cm
Step-by-step explanation:
Question 4 -
Next >
What is the mode given the data set: 97, 82, 87, 97, 100, 75, 81?
A
81
B.
82
C.
97
D.
100
what’s the mode
Answers
Which of these sets of ordered pairs below does not represent a function?
{(1, 1) (2, 2) (3, 3) (4,4) (5,5)}
{(2, 1) (4, 2) (6, 3) (8, 1) (10, 2)}
{(0, 0) (2, 3) (3,6) (2.9) (6, 12}}
{(1,5) (2, 4) (3, 3) (4,2) (5, 1)]
Answers
Answer:
0,0
Step-by-step explanation:
The function set is empty
The ordered pair in options B and D does not represents the function.
The sets of ordered pairs {(1, 1) (2, 2) (3, 3) (4,4) (5,5)}, {(2, 1) (4, 2) (6, 3) (8, 1) (10, 2)}, {(0, 0) (2, 3) (3,6) (2.9) (6, 12)} and {(1,5) (2, 4) (3, 3) (4,2) (5, 1)}.
What is function?A function is defined as a relation between a set of inputs having one output each.
For the given ordered pairs graphs are plotted below.
A) The ordered pair {(1, 1) (2, 2) (3, 3) (4,4) (5,5)} represents the linear function.
B) The ordered pair {(2, 1) (4, 2) (6, 3) (8, 1) (10, 2)} does not represents the function.
C) The ordered pair {(0, 0) (2, 3) (3, 6) (2, 9) (6, 12)} does not represents the function.
D) The ordered pair {(1,5) (2, 4) (3, 3) (4,2) (5, 1)} represents the linear function.
Therefore, the ordered pair in options B and D does not represents the function.
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Nina’s total trip to and from work is 14 miles. If she works 243 days this year, how many miles will she drive to and from work?
Answers
Answer:
3,402
Step-by-step explanation:
Step 1:
243 × 14
Answer:
3,402
Hope This Helps :)
Answer:
3402
Step-by-step explanation:
Joe works for McDonalds. He was required to buy a uniform that costs $35 and he will earn $10 per hour. The
following function represents his overall income the first month. f(h) = 10h - 35. The h represents the hours he
works. What is the independent variable?
Answers
Answer:
The independent variable is the number of hours Joe works.
find x
x- 3 = 2 - 3
Answers
Answer:
x=2
Step-by-step explanation:
x-3=2-3
+3 +3
x=2
the 3 is being canceled out by the positive, because 3-3=0 therefore it's just canceled out, leaving you with x=2.
find the value of x if h is the midpoint of gj, gj equals 4x-6, and gh=27 - huryyyyyyy please.
Answers
Answer: X=15
Step-by-step explanation:
GH+HJ= GJ
27+27=4x-6
54=4x-6
60=4x
15=x
Kendra earns $11.60 per hour working at the movie theater. Each week, she donates of
10
her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked 8 hours
2
last week, how much money did she donate to the charity?
Answers
Answer:
$9.86
Step-by-step explanation:
First, write both numbers in the same form. Convert 8
1
2
to a decimal.
8
1
2
= 8+
1
2
= 8+
1×5
2×5
= 8+
5
10
= 8+0.5
= 8.5
Multiply.
11.6
× 8.5
580
+ 9280
98.60
Kendra earned $98.60 last week.
Now multiply to find how much money Kendra donated to the charity last week. She earned $98.60, and she donates
1
10
of her earnings each week.
First, write both numbers in the same form. Convert
1
10
to a decimal.
1
10
=0.1
Multiply.
98.6
× 0.1
9.86
Kendra donated $9.86 to the charity last week.
#3 - Simplify the expression. Type your answer with all lowercase letters and no spaces. Type your p variable first and g variable second in your answer. * 2(5p+2g)+5g
Answers
Answer: 10p+9g
Step-by-step explanation:
2(5p+2g)+5g
10p+4g+5g
10p+9g
I NEED HELP ASAP
Evaluate the expression for r = –3.
15 + 6r =
Answers
Answer: -3
Step-by-step explanation:
Since we are given the value of r, we can plug that value into the expression and solve.
15+6(-3) [multiply]
15-18 [subtract]
-3
Now, we know that the expresison is equal to -3.
the product of two numbers is 12
Answers
Answer:
1x12
2x6
3x4
4x3
6x3
12x1
Step-by-step explanation:
it could be 1 and 12 2 and 6 3 and 4
Step-by-step explanation:
THe product is the answer to a multiplication equation so the numbers above are all products of 12! :D
Can someone please help
Answers
Answer:
-6 degrees F
Step-by-step explanation:
We start with -8F as the temperature. It fell 10 degrees to 2F, then fell 8 degrees to -6F.
Answer:
The answer is 10 because -8 plus 10 is 2 - (-8) is still 10 however that's in a calculator the correct answer is -6
Jordan will hike a 10 mile trail at a rate of 2 mi/h. Write a linear equation to represent the distance of the trail that Jordan still has to hike after x hours. What does the y-intercept of the equation represent?
Answers
Answer:
y = 10 -2x; 10 is the length of the trail
Step-by-step explanation:
Jordan's remaining distance starts at 10 miles, and decreases 2 miles each hour:
y = -2x +10
The y-intercept is the length of the trail.
PLEASE HELP ASAP!!!!
Answers
Answer:
11
Step-by-step explanation:
Since M is on LN,
LM + MN = LN.
[tex](2x+7)+3x=4x+9[/tex]
Remove brackets:
[tex]2x+7+3x=4x+9[/tex]
Add the x terms:
[tex]5x+7=4x+9[/tex]
Subtract 7 from both sides:
[tex]5x+7-7=4x+9-7[/tex]
[tex]5x=4x+2[/tex]
Subtract 4x from both sides:
[tex]5x-4x=4x+2-4x[/tex]
[tex]x=2[/tex]
[tex]LM=2x+7=2(2)+7=4+7=11[/tex]
what is another way to represent this solution set?
Answers
Answer:
What solution set? I think you forgot to add a picture..
What solution do you need help with? :)
A mineral water bottle is 3/4 full and Denise drank 80% of the water. Find the percentage of water left in the bottle.
Answers
Answer:
nchhfhhhgfddnbnbbhtffghtnj5ydwkdyherv
Max goes to the gym every fourth day. Ellen’s exercise routine is to go every third day. Today is monday and both Max and Ellen are at the gym. What will the day of the week be the next time they are BOTH at the gym?
A. Sunday
B. Wednesday
C. Friday
D. Saturday
Answers
The day of the week will be Saturday the next time they are both at the gym.
What is Least Common Multiple(LCM)?The least common multiple is defined as the least positive integer that is dividable by both given numbers.
A group's Least Common Multiple (LCM) is the smallest number that is a multiple of all the numbers. For example, the LCM of 4 and 5 is 20; 20 is the smallest number that is both a multiple of 4 and a multiple of 5
To solve this problem, we need to find the least common multiple (LCM) of the two sequences of days, 3 and 4.
The LCM of 3 and 4 is 12, which means that after every 12 days, Max and Ellen will both be at the gym on the same day.
Starting from Monday, the next time Max and Ellen are at the gym together will be 12 days later, which is a Saturday.
Hence, the answer is an option (D) Saturday.
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Calculate the mean, median, and mode for the set 7, 9, 8, 8, 10, 9, 8, 7, 8, 6, 9, 5, 6, 8, 9, 7, 7, 8, 10, 8 please answer asap
Answers
Step-by-step explanation:
Mean (Average):7.89474. Median (Middle):8. Mode (Most Common):8
Answer:
Mean= 7+9+8+8+10+9+8+7+8+6+9+5+6+8+9+7+7+8+10+8/20= 7.85
Mode= 8(the most repeated number)
Median= 7+8/2=7.5 (the two numbers in the middle divided 2)