Answer:
5.15 m
Step-by-step explanation:
To find how long the cable was originally, find the sum of the length of the piece that was cut off and the length of the remaining piece:
1.65 + 3.5 = 5.15
The cable was originally 5.15 m long.
Douglas has a box with 49 paper clips.
Of the paper clips, 15 are yellow, 9 are
red, 6 are blue, 11 are orange and 8
are green. Douglas randomly picks 2
paper clips from the box.
If the first paper clip is red, what is the probability that the second paper clip is blue?
Answer:
6/48 is the likely possibility that he will pull out a blue one.
Step-by-step explanation:
The first thing you will look at is how many blue there is and in this case there is 6. All you have to do (if it didn't already) is add up all of the paperclips and put the blue total number to get your answer. So if there was 49 but he drew out one to make it 48. So the answer is 6/48
Factorize:
x^4 - 6x^2 - 27
x^4 - 6x^2 - 27
Let u = x^2
We know that x^4 = (x^2)^2.
u^2 - 6u - 27
(u - 9)(u + 3)
Now, back-substitite for u.
(x^2 - 9)(x^2 + 3)
The RIGHT SIDE FACTOR is the difference of two squares.
So, x^2 - 9 becomes (x - 3)(x + 3).
(x - 3)(x + 3)^2
Done.
Which is the best estimate of 11 and one-fifth divided by 2 and three-fourths?
Answer:
4 should be the answer to the question
Answer:
11 1/5 divided by 2 3/4:
11 1/5 is a bit less than 12, and 2 3/4 is a bit less than 3
The answer, therefore, should be fairly close to 12 ÷ 3
12 ÷ 3 is 4
Answer is 4
Step-by-step explanation:
WHICH TABLE IS A FUNCTION?
TABLE A
TABLE B
NEITHER
BOTH
Answer:
I honestly think its neither
15% tip on a bill of $51.03
Answer:
7.6545
Step-by-step explanation:
i need help with these questions
What is the Mean of 2,10,18,14,6
Answer:
10
Step-by-step explanation:
2+10+18+14+6= 50
then divide by 5 to get mean = 10
Answer:
the answer is 10
Step-by-step explanation:
if you add up all the numbers you get 50
and if you divide it by the number of results, in this case 5, you get 10!
What is the successor of 2,550
Answer:
2551
Step-by-step explanation:
The successor of a number is 1 more than it.
PLS GIVE BRAINLIEST
Nathan measured a line to be 7.4 inches long. If the actual length of the line is 7.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer:
2.8%
Step-by-step explanation:
(7.4 - 7.2) / 7.2 =
0.2 / 7.2 =
2.7777777777778%
Find the recursive rule, explicit rule, and f(20)
Answer:
Recursive:
[tex]f(1)=4, f(n)=f(n-1)-4[/tex]
Explicit:
[tex]f(n)=4-4(n-1)[/tex]
And the 20th term f(20) is -72.
Step-by-step explanation:
We have the sequence:
4, 0, -4, -8...
Let’s find the recursive and explicit rule for the sequence.
Recursive Rule:
Let’s determine the factor by which the sequence is decreasing by. We see that each subsequent term is 4 less than the previous term. In other words, our common difference is -4.
So, this is a arithmetic sequence.
The standard format for an recursive rule for an arithmetic sequence is:
[tex]f(1)=a , f(n)=f(n-1)+(d)[/tex]
Where a is the initial term and d is our common difference.
From our sequence, we know that our initial term a is 4.
We also determined that our common difference is -4.
Substitute. Hence, our recursive rule is:
[tex]f(1)=4, f(n)=f(n-1)-4[/tex]
Explicit Rule:
The standard format for an explicit rule for an arithmetic sequence is:
[tex]f(n)=a+d(n-1)[/tex]
Where a is the initial term and d is the common difference. So, again, let’s substitute 4 for a and -4 for d. Hence, our explicit formula is:
[tex]f(n)=4-4(n-1)[/tex]
To find f(20), we can use the explicit formula. It is possible to use the recursive formula, but it gets tedious. Therefore, we will substitute 20 for n for our explicit formula:
[tex]f(20)=4-4(20-1)[/tex]
Evaluate:
[tex]\begin{aligned} f(20)&=4-4(19) \\ f(20)&=4-76 \\ f(20)&=-72 \end{aligned}[/tex]
Hence, our 20th term is -72.
HELP IM ON GRADPOINT I AM ON A QUIZ IF I CAN ALSO GET THE REST OF THE ANSWERS I WILL MARK BRAINLYEST
Answer:
top is independent, bottom is dependent
Step-by-step explanation:
top has only 1 answer, bottom has infinite answers
Factor-262 +65k - 2b
Answer:
-262 +65k =2b is not factorable with rational numbers
Step-by-step explanation:
Lisa loaned John $5000 at an interest rate of 6%. He repaid her $5750 to cover the principal and interest. How long did he borrow the money?
Answer:
time in years = 2.5 years
Step-by-step explanation:
time = interest / (principal amount x rate)
time = 750 / 5000 x 0.06
time = 750 / 300
time = 2.5 years
Solve for a
ab + c = d
c
—-
a= b+ d
b
——-
a= (c+d)
(d-c)
a= ———
b
Answer:
A
Step-by-step explanation:
just took the test
Count by 50 cents up to $4.00. Use dollar notation
Please help me
Answer:
1$, $1.50, $2, $2.50, $3, $3.50
Answer:
$1.00, $1.50, $2.00, $2.50, $3.00, $3.50
Step-by-step explanation:
Just add .50 (cents) on every time. When it comes to dollar notation, it should be marked with the dollar sign in front, and then the dollar amount, and then a decimal and the cent amount. The cent amount would be to the hundreths.
The corner market sells potatoes at a rate of 1/2 dollars per potato.
1. Amanda is only able to spend $5 on potatoes. What is the most number of potatoes she can buy?
2. Sam wants to buy 15 potatoes. How much will that cost him?
Answer:
The cost of 15 potatoes is $7.50
Step-by-step explanation:
The potatoes are sold at a rate of $0.5 per potato.
1. Given Amanda can only spend $5 on potatoes at that price, she can buy at most $5 / 0.5 = 10 potatoes.
Amanda can buy at most 10 potatoes
2. Sam wants to buy 15 potatoes at that very same price. The cost of 15 potatoes is:
15 * $0.5 = $7.50
The cost of 15 potatoes is $7.50
help me plz asap now I just need answer question in pic
I was just about to ask this question
Step-by-step explanation:
Im on this question rn, i need help to :(
Answer: just guess :)
Step-by-step explanation:
Debra Goforth's savings account shows a balance of $904.31 on March
1st. The same day, she made a deposit of $375.00 to the account. She
also made deposits of $500.00 on April 1st and May 1st. The bank pays
interest at a rate of 5.5 percent compounded daily. What will be the
amount in her account on May 29?
Answer:
Debra Goforth's savings account shows a balance of $904.51 on March 1. The same day, she ... of $904.51 on March 1. The same day, she made a deposit of $375.00 to the account. She also made deposits of $500.00 on April 1 and May 1. The bank pays interest at a rate of 5.5 percent compounded daily.
Step-by-step explanation:
Hope this helps!
pls ayuda es para hoy mismo y es un examen
Answer:
-4
6x+29=5
6x=5-29
6x=-24
x=-4
Answer
es-4
Step-by-step explanation:
What system of inequalities is shown in the graph?
A. x 2x + 3
B. x 3x + 2
C. x ≤ −1 and y ≤ −0.4x + 2
D. x ≤ −1 and y ≤ −2x + 2
14. Devon has an area rug with a width 3 feet less than its length, l. He has purchased a larger rug to fit into his new dorm room. Both length and width of Devon's new rug are 2 feet longer than the original. Find the simplified expression of the perimeter and the NEW rug. plsssss help.me show work
Answer:
Perimeter of the new rug = 4x+2 feet
Step-by-step explanation:
Let the length be x feet and the width of the first rug will be x- 3 feet
Area = length * breadth = x * (x-3) = x²- 3x
Length of the new rug = x+2 feet
Width of the rug = x+2-3= x-1 feet
Perimeter of the recatngle = 2( length + breadth)
= 2( x+2 + x-1)
= 2 (2x+1)
= 4x+2 feet
somebody please help me what is 15 / 3 ×7/20
Answer:
1.75
Step-by-step explanation:
By Order of Operations, You read it left to right since Multiplication and Division are of the same importance. You would start with 15/3, which is 5.
Then your equation would be: 5*7/20.
Again, you would just read it left to right, 5*7=35
Then divide by 20, which is 1.75.
What is the image of (-4,-7)(−4,−7) after a reflection over the x-axis?
Answer:
(-4,7)
Step-by-step explanation:
(-4,-7) is in the bottom left corner on a graph. The x axis goes horizontal so if it reflects it would be at (-4,7)
What is the greatest common factor of 9 and 12? 3 9 36 108
Answer:
The GCF would be 3
Step-by-step explanation:
You’re welcome :)
Answer:
1. A
Step-by-step explanation:
It will take 20 points to make the playoffs, the Hockey Team coach told the players. "We get 2 points for a win and 1 point for a tie." Let be the number of wins and be the number of ties. Write an equation to describe the values of and that will let them make the playoffs.
Answer:
[tex]2x+y\geq 20[/tex]
Step-by-step explanation:
Given that total points required to make the playoffs = 20 points
As there is 2 points for a win,
so points earned for x win = 2x
Similarly, as there is 1 point for a tie.
so points earned for y ties = 1[tex]\times[/tex] y= y
Total points earned for x win and y ties = 2x+y
As the team makes the playoff so the total points of the team must be equal to or greater than 20 points (i.e the minimum points to make the playoff), so
[tex]2x+y\geq 20[/tex]
Hence, the required equation is [tex]2x+y\geq 20[/tex].
Anelle is saving to buy a guitar that costs $350. So far she has saved $105.20. She wants to buy the guitar in 18 weeks. Based on this information, which statement is true?
Answer:
Step-by-step explanation:
350-105.20= 244.80 is still needed
I don't have the statements so...
244.80/18 weeks = 13.60 She'll need to save at least $13.60 a week for 18 weeks to make up the difference.
Answer:
Step-by-step explanation:
18x + 105.2 ≥ 350
18x ≥ 244.8
x ≥ 13.6
She has to save at least $13.6 per week.
In GHJ, GH = 21 inches, HJ = 24 inches, and GJ = 9 inches. Which statement is true? A. G is smallest B. J is smallest C. H is largest D. G is largest
Answer:
G is the smallest
H is the largest
Step-by-step explanation:
Given
[tex]GH = 21[/tex]
[tex]HJ = 24[/tex]
[tex]GJ = 9[/tex]
Required
Which of the statements is true
First, we need to solve for G, H and J as follows:
[tex]G + H = 21[/tex] --- (1)
[tex]H + J = 24[/tex] --- (2)
[tex]G + J = 9[/tex] --- (3)
Make G the subject in (1)
[tex]G = 21 - H[/tex]
Substitute 21 - H for G in (3)
[tex]21 - H + J = 9[/tex]
Collect Like Terms
[tex]-H + J = 9 - 21[/tex]
[tex]-H + J = -12[/tex]
Make J the subject
[tex]J = H - 12[/tex]
Substitute H - 12 for J in (2)
[tex]H + H - 12 = 24[/tex]
[tex]2H - 12 = 24[/tex]
Collect Like Terms
[tex]2H = 24 + 12[/tex]
[tex]2H = 36[/tex]
Solve for H
[tex]H = 18[/tex]
Substitute 18 for H in [tex]J = H - 12[/tex]
[tex]J = 18 - 12[/tex]
[tex]J = 6[/tex]
Substitute 18 for H in [tex]G = 21 - H[/tex]
[tex]G = 21 - 18[/tex]
[tex]G = 3[/tex]
So, we have that:
[tex]G = 3[/tex] [tex]J = 6[/tex] [tex]H = 18[/tex]
Hence, we can conclude that:
G is the smallest
H is the largest
12 + 4x – 4 = 12x – 9 – 8x
Answer:
No solution
Step-by-step explanation:
Basically the simplified equation is 17 = 0, which is wrong so there is no solution.
What is the larger number: 5 or the Square Root of 26. Why?
Step-by-step explanation:
square root of 26
becoz √26=5.099
=5.1
Answer:
square root of 26
Step-by-step explanation:
this is because when 26 is squared it equals 5.09902, so 5.1 is greater than 5
The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:
Graph titled Distance Vs Time is shown with Time in minutes along the x axis and Distance from Nest in miles along the y axis. The scale on the x axis shows the numbers 0 to 25 at increments of 5, and the scale on the y axis shows the numbers 1 to 8 at increments of 1. A straight line joins the ordered pairs 0, 3 and 5, 4 and 10, 5 and 15, 6 and 20, 7.
Based on the graph, what is the initial value of the graph and what does it represent? (1 point)
a
3 miles per minute; it represents the speed of the bird
b
0.2 mile per minute; it represents the speed of the bird
c
0.2 mile; it represents the original distance of the bird from its nest
d
3 miles; it represents the original distance of the bird from its nest
Answer:
(d).
Step-by-step explanation:
The y-intercept (0, 3) is initial value of graph ⇒ (d). 3 miles; it represents the original distance of the bird from its nest
Answer:
0.2 mile; it represents the original distance of the bird from its nest
Step-by-step explanation: