Answer:
5, 12, 19, 26, 33
Step-by-step explanation:
This is an arithmetic sequence since there is a common difference between each term. In this case, adding 7 to the previous term in the sequence gives the next term. In other words, an=a1 + d(n − 1) .
Arithmetic Sequence: d=7
This is the formula of an arithmetic sequence.an=a1 + d(n-1)
Substitute in the values of
a1=5 and d=7. an=5 + (7) (n − 1)
Simplifly each term : an=5 + 7n − 7
Subtract 7 from 5.
an=7n − 2
A scuba diver has a taut rope connecting the dive boat to an anchor on the ocean floor. The rope is 95 feet long and the water is 40 feet deep. To the nearest tenth of a foot, how far is the anchor from a point directly below the boat?
7,425 ft
86.2 ft
103.1 ft
3,712.5 ft
The current in one part of a series circuit is 3 – 2j amps. The current in
another part of the circuit is 2 + 4j amps. Find the total amps in the circuit. .
Answer:
5 + 2j Amps
Step-by-step explanation:
current in part one = 3 -2j A
Current in second part = 2 + 4j
Total amps in the circuit = 3 - 2j + 2 + 4j
Collect the like terms
Total amps in the circuit = 3+2-2j+4j
Total amps in the circuit = 5 + 2j
Hence the total amps in the circuit is 5 + 2j Amps
The total amps in the circuit described is; 5 +2j
Since current flows in the same direction in a series circuit.
We can evaluate the total current that flows in the circuit as follows;
Total current = 1st part current + 2nd part currentTotal current = 3 – 2j + 2 + 4j Total amps = 5 +2j.Read more;
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What is the value of m?
Answer:
23
Step-by-step explanation:
400 - 8m = 216
move 8m to the other side
400 = 216 + 8m
subtract 216 from both sides
8m = 184
divide both sides by 8
m = 23
Answer:
23
Step-by-step explanation:
400 - 216 = 184
184/8 = 23
Check
400 - 8m = 216
400 - 8(23) =
400 - 184 =
216 = 216 :)
Edward deposited $7,000 into a savings account 4 years ago. The simple interest rate is 5%. How much
money did Edward earn in interest?
Substitute the values into the equation
Interest = $ • • years
answer: $1,440
explanation: here’s the equation with the values in this case
>> interest = 7,000 x 0.05 x 4
after multiplying, you get 1,440, which is the simple interest
**tip: turn the rate/percent into a decimal, then multiply
HI CAN ANYONE PLS ANSWER DIS MATH PROBLEM!!!!!!!!!!!
C
Because it is not a constant change
Which sequence of transformations on preimage ∆ABC will NOT produce the image ∆A'B'C'?
A.
reflection across the line y = -x followed by a rotation 180° counterclockwise about the origin
B.
reflection across the y-axis followed by a rotation 90° clockwise about the origin
C.
reflection across the line y = x
D.
rotation 180° clockwise about the origin followed by a reflection across the line y = -x
E.
reflection across the x-axis followed by a reflection across the y-axis
Answer:
a
Step-by-step explanation:
Which trig function would you use?
⠀⠀ ⠀ ⠀⠀ [tex]\huge{\tt{\red{❥}\green{A}\purple{N}\pink{S}\blue{W}\orange{E}\red{R}}}[/tex] Sine
HELPPPPPPPPPPP omll i cant fail
Answer:
F(-2)=2
Step-by-step explanation:
F(x)=4x+10
F(-2)
F(-2)=4(-2)+10
-8 +10
F(-2)= 2
A rectangular parking lot has an area of 1650 yd.² the length of the parking lot is 55 yards what is the width of the parking lot in yards
Answer:
The width of parking lot is 30 yards.
Step-by-step explanation:
Given that:
Area of rectangular parking lot = 1650 yards square
Length of parking lot = 55 yards
Width of parking lot = x yards
Area of rectangle is given by:
A = Length * Width
1650 = 55x
Dividing both sides by 55
[tex]\frac{55x}{55}=\frac{1650}{55}\\x=30[/tex]
Hence,
The width of parking lot is 30 yards.
Three students, Hunter, Gavin, and Levi, line up one behind the other. How many
different ways can they stand in line?
Answer:
Hunter, Gavin Levi
Levi, Gavin, Hunter
Gavin, Hunter, Levi
Hunter Levi Gavin
Levi Hunter Gavin
Gavin Levi Hunter
6 different ways
The number of different ways this can be done is 6 ways
Permutation and combinationGive the following students Hunter, Gavin, and Levi, line up one behind the other. They can line up in any form as they wish.
In order to line them up as they wish, we will take the factorial of the total student. In general;
n! = n(n-1)!
Since there are 3 students, the different ways can they stand in line is;
3! = 3 * 3 * 1
3! = 6
Hence the number of different ways this can be done is 6 ways
Learn more on permutation here: https://brainly.com/question/12468032
What is the common ratio of the following geometric sequence? 6,9,27/2,81/4,...
a. r=-2
b. r=2
c. r=3/2
d. r=2/3
Answer:
C
Step-by-step explanation:
The common ratio (r) can be found as
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{9}{6}[/tex] = [tex]\frac{3}{2}[/tex] → C
The common ratio of the geometric sequence is c. r = 3/2.
To determine the common ratio of a geometric sequence, we need to find the ratio between consecutive terms.
In the given sequence: 6, 9, 27 / 2, 81 / 4, ...
To find the ratio between consecutive terms, we divide each term by its preceding term.
9 / 6 = 3 / 2
(27 / 2) / 9 = 3 / 2
(81 /4 ) / (27 / 2) = 3 / 2
We observe that the ratio between consecutive terms is always 3 / 2.
Therefore, the common ratio of the geometric sequence is c. r = 3/2.
To know more about common ratio click here :
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A hobby store marks up remote-controlled cars 20%. The original price was $35. What is the retail price to purchase a remote-controlled car at the hobby store?
Answer:
The retail price to purchase a remote-controlled car at the hobby store is $42
Step-by-step explanation:
Original Price of remote controlled car = $35
Mark up = 20%
We need to find retail price.
First we will find mark up value i.e. 20% of 35 and then add it to the original price to find retail price.
Finding 20% of 35
[tex]20\% \:of\: 35\\=\frac{20}{100}\times 35\\=7[/tex]
So, mark up price is $7
Now, the retail price will be:
Retail price = Original Price + Mark up
Retail price = 35 + 7
Retail price = 42
So, the retail price to purchase a remote-controlled car at the hobby store is $42
Give me 3 examples of a ratio
Answer:
2:4 like in a basketball game 2/4 like a fraction 2:4 like a competitive thing
Step-by-step explanation:
What is the complete factorization of -x^2+3x+28
Answer:
I dont know
Step-by-step explanation:
Answer:
-(x+4)(x-7)
Step-by-step explanation:
Factor out 28. Whichever pair equals to 3 would be the correct pair for factorization. In this case, it's 7 and -4
100 points please help !!!!!!!!!!
It is chromatic because of all the colors.
Answer:
The third option
Step-by-step explanation:
It explains the purpose of it.
A 64 ounce bottle of orange juice has 48 ounces of water.What percent of the juice is water? Someone please help!!
Answer:
75 percent
Step-by-step explanation:
Who knows both of them ??? pleaseee
Step-by-step explanation:
question 13: false
question 14: 1
2/3 = 16/x
What is X
Answer:
Step-by-step explanation:
x=24
Answer:
X = 24
Step-by-step explanation:
Learn what 2/3 equals
2/3 = 0.666
Divide 16 until it equals that number
16/24 = 0.666
Please help !! Will mark brainliest answer
Answer:
x = 12
Step-by-step explanation:
18:24 (comparing the same sides for the similar shapes; 18 and 24) when simplified down is equal to 3:4.
Using this 3:4 scale factor we can find the missing side x.
Solving for x :
[tex]\frac{3}{4}[/tex] × 16 = 12
x = 12
OR: Set up a proportion:
[tex]\frac{24}{16}[/tex] × [tex]\frac{18}{x}[/tex]
cross-multiply
16 × 18 = 288
24 × x = 24x
288 = 24x
x = 12
4y - 9 - 6y = 2 (y + 5) -3
Help
Answer:
y = −4
Step-by-step explanation:
72÷853 PLZ HELP ASP I need an answer fast
Answer:
0.084408 or 8.44%
Step-by-step explanation:
hope this helps :)
Answer: 0.0084
Step-by-step explanation:
<8
Dean is comparing prices on ground beef. Store A is selling 5 pounds of ground beef for $23.49. Store B is selling 8 pounds of ground beef for $36.96.
Which store is offering the better deal on ground beef? Show your work.
Answer: Store B
Step-by-step explanation:
A person Rents a canoe for 4 Hours and paid a total of $36. of Renting a canoe costs am initial fee of the $2 Plus an additional amount for each hour the canoe is rented,which graph represents the total cost,y, in dollars of renting a canoe for x hours
Answer:
Additional fee or hour = $8.5
y = $2 + 8.5x
Step-by-step explanation:
Given that :
Total paid = $36
Number of hours = 4
Initial rental fee = $2
Additional fee per hour = a
Total amount = initial rental fee + additional fee per hour * number of hours
36 = 2 + 4a
36 - 2 = 4a
34 = 4a
a = 8.5
Hourly fee = $8.5
Therefore, the cost formula
y = initial fee + regular fee * number of hours
y = $2 + 8.5x
increase 30 kg by 12%
Answer:
33.6kg
Step-by-step explanation:
30kg : 100% = x kg : 112%
100x = 112 x 30
100x = 3360
3360 divided by 100
= 33.6kg
Using the common denominator, what is an equivalent fraction for 2/7
?
Answer:
The fraction 4/14 is equal to 2/7 when reduced to lowest terms. To find equivalent fractions, you just need to multiply the numerator and denominator of that reduced fraction (2/7) by the same interger number, ie, multiply by 2, 3, 4, 5, 6
14 POINTS + Brainliest to first correct answer with explanation and diagram.
How do you divide Fractions?
Tysm!
So for example we have
1/2 divided by 1/6
What we will do it’s
Leave the first one As it is
Turn the second fraction (the one you want to divide by) upside down
The change the divide to multiply
Multiply the first fraction by that reciprocal
Simplify the fraction (if needed)
So it’s will be like this
1/2 x 6/1 = 6/2
Simplify it
6/2 =3
I hope it’s will help u ✨
5t^-2 • 2t^-5
can someone write the steps? i can’t remember the formula so i’m stuck
Just multiply the numbers 5 and 2 to get 10. Then add the the exponent t and add the exponents together so you answer would be 10t^-7
Brainiest please?
Devaughn's age is three times Sydney's age. The sum of their ages is 104 . What is Sydney's age?
Answer:
26
Step-by-step explanation:
u dont need it
Darion got a $75 gift card to an online music store. He uses the gift
card to purchase a game for $29.99. He also wants to use the gift
card to buy some songs on Apple Music. Each song costs $1.29.
Write and inequality for this situation.
Answer:
29.99 - 1.29s ≤ 75
Step-by-step explanation:
s = songs on Apple Music
≤ = less than or equal to
The Student Advisory Council here at PC sells red and pink carnations every year for Valentine's Day. The number of red carnations sold was 3 more than 2 times the number of pink carnations sold. Red Carnations were sold for $ 0.50 each and Pink Carnations sold for $0.75 exh . The club made $600.00 . How many of each carnation were sold?
Answer:
The number of :
Red carnations sold = x = 687 carnations
Pink carnations sold = y = 342 carnations
How many of each carnation were
Step-by-step explanation:
Let us represent
The number of :
Red carnations = x
Pink carnations = y
The Student Advisory Council here at PC sells red and pink carnations every year for Valentine's Day.
The number of red carnations sold was 3 more than 2 times the number of pink carnations sold.
x = 3 + 2y .....Equation 1
Red Carnations were sold for $ 0.50 each and Pink Carnations sold for $0.75 exh . The club made $600.00 .
$0.50 × x + 0.75 × y = $600
0.5x + 0.75y = 600...... Equation 2
Using substitution method:
Let us substitute, 3 + 2y for x in Equation 2
0.5(3 + 2y) + 0.75y = 600
1.5 + y + 0.75y = 600
y + 0.75y = 600 - 1.5
1.75y = 598.5
y = 598.5/ 1.75
y = 342 carnations.
Solving for x
x = 3 + 2y .....Equation 1
x = 3 + 2(342)
x = 3 + 684
x = 687 carnations
Therefore, The number of :
Red carnations = x = 687 carnations
Pink carnations = y = 342 carnations