Answer:
640/60Step-by-step explanation:
Close number to 641 is 640
Close number to 59 is 60
Estimate for 641/59 ⇒ 640/60
A particle moves on the hyperbola xy=15 for time t≥0 seconds. At a certain instant, x=3 and dx/dt=6. Which of the following is true about y at this instant?
Answer:
[tex]y[/tex] is decreasing by 10 units per second.
Step-by-step explanation:
Given information:
The particle moves on the hyperbola [tex]xy=15[/tex]
Time [tex]t\geq 0[/tex]
Now at a certain instant , [tex]x=3[/tex] and [tex]\frac{dx}{dt} = 6[/tex]
Now, Differentiating [tex]xy=15[/tex] with respect to [tex]t[/tex]
We get:
[tex]x.\frac{dy}{dt} +y.\frac{dx}{dt} =0[/tex]
Now substitute the values in above equation:
[tex]3\frac{dy}{dt}+ 5 \times 6=0[/tex]
[tex]3 \frac{dy}{dt}=-30\\\frac{dy}{dt} =-10[/tex]
The negative sign indicates that [tex]y[/tex] is decreasing by 10 units per second.
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The particle follows hyperbolic path. The value of [tex]y[/tex] is decreasing at the rate of [tex]10[/tex] units per seconds.
Given: A particle moves on the hyperbola [tex]xy=15[/tex] for time [tex]t\geq0[/tex] seconds. At a certain instant, [tex]x=3[/tex] and [tex]dx/dt=6[/tex].
According to question,
hyperbola curve is [tex]xy=15[/tex].
Differentiating the curve w.r.t [tex]t[/tex] we get:
[tex]x\cdot \frac{dy}{dt}+y\cdot\frac{dx}{dt}=0[/tex]
Now substituting the values are [tex]x=3[/tex] and [tex]dx/dt=6[/tex].
[tex]3\cdot \frac{dy}{dt}+5\times6=0[/tex]
[tex]\frac{dy}{dt}=\frac{-30}{3}\\\frac{dy}{dt}=-10[/tex]
Therefore, [tex]y[/tex] is decreasing [tex]10[/tex] units per seconds.
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If A(-2 , 10) and B(4 , -2), then AB=?
Answer:
AB(6;-12)
Step-by-step explanation:
The length of AB is 10 units.
What is a line segment ?A line segment is a subset of a line which has two end points.Distance of a given line segment with two endpoints and a pair of co-ordinates can be obtained by [tex]\sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex] this formula know as distance formula.
According to the given question co-ordinate of two points are given and we have to find the distance.
We know that distance between two points is given by
[tex]\sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
Here A = (x₁,y₁) = (-2,10) and B = (x₂,y₂) = (4,-2).
∴ AB = [tex]\sqrt {\left( {-2 - 4 } \right)^2 + \left( {10 -2 } \right)^2 }[/tex].
AB = [tex]\sqrt {\left( {-6} \right)^2 + \left( {8 } \right)^2 }[/tex]
AB = [tex]\sqrt {\left( {36} \right) + \left( {64} \right) }[/tex]
AB = [tex]\sqrt {100}[/tex]
AB = 10 units.
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given p ll r and m angle 8=119, find m angle 11
Estimate to compare. Write<,>, or=.
Sorry for the bad photos
Answer:
<
Step-by-step explanation:
Write the number three hundred forty two thousand six hundred eight in number form
Answer:
342:608
Step-by-step explanation:
from the start and end up to the last
Daniel fish tank holds 24 L of water he uses a 4 L bucket to fill the tank how many buckets of water are needed to fill the tank
Answer:
6 buckets have to be filled, put in tank and refilled.
Step-by-step explanation:
Volume = 24 L
Volume Container = 4 L
Number of buckets = Fish Tank Volume / volume of container
Number of buckets = 24 / 4
Number of bucket refills = 6
Denmark uses the kroner as its currency. Before a trip to Denmark, Mia wants to exchange $1,700 for kroner.
A. Does bank A or Bank B have the better exchange rate? Explain.
B. How many more kroner would Mia get if she exchanged her $1,700 at the bank with the better exchange rate?
Answer:
a. Bank A
b. 8,670 Kroner
Step-by-step explanation:
a. The bank that will give Mia a better exchange rate is the Bank who's exchange rate is higher in value, that is has more units of Kroner per $1.
Let's find which Bank has the best exchange rate.
Using the pair, (100, 510),
Bank A exchange rate = [tex] \frac{510}{100} = 5.1 [/tex]
Bank A exchange rate is 5.1 kroner per dollar
Using the point, (10, 50) on the graph,
Bank B exchange rate = [tex] \frac{50}{10} = 5 [/tex]
Bank B exchange rate is 5.0 kroner per dollar.
✅Therefore, Bank A has a better exchange rate.
Mia will get more Kroner per each dollar she wants to exchange if she lots for Bank A.
b. If Mia exchanged her $1,700 at Bank A, she would get:
1,700 × 5.1 = 8,670 Kroner.
a) The bank A have the best exchange rate.
b) Mia will receive an addition of 1303,90 crowns with the better exchange rate.
a) Given the existence of linear relationship between the amount of dollars ([tex]x[/tex]) and the expected amount of crowns ([tex]y[/tex]), the exchange rate ([tex]r[/tex]) is represented by the slope of each line, which is determined by definition of secant line. The greater the slope, the better the exchange rate.
Now we proceed the exchange rate for each bank:
Bank A
[tex]r_{A} = \frac{612-408}{120 - 80}[/tex]
[tex]r_{A} = 5.1\,\frac{DKC}{USD}[/tex]
Bank B
[tex]r_{B} = \frac{130 - 0}{30 - 0}[/tex]
[tex]r_{B} = 4.333\,\frac{DKC}{USD}[/tex]
The bank A have the best exchange rate.
b) The addition ([tex]\Delta y[/tex]), in crowns, is defined by the following formula:
[tex]\Delta y = (r_{A}-r_{B})\cdot x[/tex] (1)
If we know that [tex]r_{A} = 5.1\,\frac{DKC}{USD}[/tex], [tex]r_{B} = 4.333\,\frac{DKC}{USD}[/tex] and [tex]x = 1700\,USD[/tex], then the addition is:
[tex]\Delta y = (5.1-4.333)\cdot 1700[/tex]
[tex]\Delta y = 1303,90\,DKC[/tex]
Mia will receive an addition of 1303,90 crowns with the better exchange rate.
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Q: It costs $3.45 to buy 3/4 lb of chopped walnuts. How much would it cost to purchase 7.5 lbs of walnuts?
*I'll be posting a question later with 50 points, so look out for that!*
Answer:
$34.5
Step-by-step explanation:
$3.45 for 3/4
-Divide by 3-
$1.15 for 1/4
-Multiply by 4-
$4.6 for 4/4 OR 1
-Multiply by 7.5-
$34.5 for 7.5
At the store, a frozen turkey costs $0.99
per pound and a fresh turkey costs $1.69
per pound.
How much more does a 15-pound fresh
turkey cost?
Answer:frozen turkey is $11.00 fresh is $20.28 cents
Step-by-step explanation:
so $8.40 cents
is 1087.5 larger than 2,175
Answer:
Yes - I MEAN NO
Step-by-step explanation:
bigger 1st number - 2ND NUMBER BIGKER
Answer:
No, because 2175 is larger than 1087.5
Step-by-step explanation:
Samuel has a board that is 44 inches long. He wants to cut it into two pieces so that one piece is 6 inches longer than the other. Which of the equations below could be used to find the length of the shorter piece, s?
Check ALL that apply.
2s = 50
s + s + 6 = 44
s + s = 44 + 6
2s = 38
2s + 6 = 44
s + 6 = 44
Answer:
s + s + 6 = 44
2s = 38
2s + 6 = 44
Step-by-step explanation:
Given parameters:
Length of the board = 44inches
Unknown:
equation to find the shorter piece s = ?
Solution:
let the longer piece = L
Shorter piece = s
s + L = 44 ---- i
Now,
L = s + 6 ----- ii
put L = s + 6 into i;
s + s + 6 = 44
2s + 6 = 44
2s = 44 - 6
2s = 38
Mary found a dining table on sale for 45% off. If the original price was $1,650, how much did she save?
m − 56/–7 = –6
solve for m
What is the perimeter of the rectangle?
Answer:
28
Step-by-step explanation:
If the area is 48. 48 divided by 6 is 8 right? Okay then, two sides of the rectangle is going to be 8 and 2 sides of the rectangle is going to be 6.
So, take 8+8 and 6+6 which equal 28.
remember, to find the perimeter you add.
which concludes the answer to be 28.
Answer:
28 units
Step-by-step explanation:
So to find the perimeter, you need to find the other length of the triangle. To find that, let's look at the area that was given. We know that area = L x W. So we have the width and when we divide it by the area we can find the missing length which should be: 48/6=8
So with both the length of 8 and the width of 6, we can find the perimeter is equal to:
Perimeter= 8 + 8 + 6 + 6
Perimeter=28
I need help this is confusing
Answer:
l: y = 4
m: y = -2x + 4
n: y = x - 1
p: x = -4
Step-by-step explanation:
y = mx + b
Slope = m
Y-intercept = b
What is the measure of AC?
You buy a burger that costs $5.99 and a piece of fruit that costs $1.75. If you have a $50 bill, how much change
will you get?
Answer: 42.26
Step-by-step explanation:
Answer:
42.26
Step-by-step explanation:
50.00
- 5.99
44.01
44.01
- 1.75
42.26
You want to have enough desserts for each of your 10 guests to have two servings. You decide each guest will want a serving of one of the pies and their second dessert will be either brownies or cake. How could you estimate what quantities to buy? (Hint: this requires critical thinking more than math). Be sure to fully explain your answer.
Answer:
Did u ever find the answer
Step-by-step explanation:
and if u didn't just tell me
What integer does Point A represent?
20 points!!
Answer:
The integer 'A' represents -8.
Answer:
-8
Step-by-step explanation:
Look at the number line, it goes to the left so its negative. It went be back 8 times, so wouldn't it be -8.
Solve for x. Your answer must be simplified. x/25>5
Answer:
x > 125
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define inequality
x/25 > 5
Step 2: Solve for x
Multiply 25 on both sides: x > 125Here we see that any number x greater than 125 would work as a solution.
The table shows the hourly wages (in dollars) of employees after they have worked at a company for x years. Use the linear regression feature
on a graphing calculator to find an equation of the line of best fit for the data. Round each value in your equation to the nearest hundredth.
Then use your equation to estimate the hourly wage of an employee who has worked at the company for 12 years.
Years, x Hourly wage (dollars per hour), y
1
$8.75
5
$10.50
3
$9.25
7
$11.25
The line of best fit is y =
The aproxímate hourly wage of a person who has worked at the company for 12 years is $___ per hour
Answer:
y= 0.5x + 8.2
$13.6 per hour
Step-by-step explanation:
(Is it weird that I had the same exact question? Maybe not. But I also found another person with the same question as me. It was a different question though. This is probably too late. But I'm just gonna try to answer it for anyone who needs it.
"Linear regression" is just a fancy word for scatter plots. Scatter plots take place in graphs. The dots or plots are scattered and the way they are scattered means something. If it's going down, it's negative, up it's positive, and if it's scattered, it has no corrolation.
Also, you should have learned this in 9th grade. So, check your notes.
If you don't have it, WRITE IT!!!
To find it in your calculator:
1. Go to "Lists and Spreadsheets"
2. Rename the first column "x" and the second on "y"
3. Write all of your numbers in the right column
1, 5, 3, 7 under the "x"
8.67, 10.50, 9.58, 11.41 under the "y"
4. Move your cursor to an empty cell
4. Click: "MENU" #4 #1 #3
5. Rename the correct rows "x" and "y" and press enter
6. Now you can find "m" and "b"
7. Then move your cursor to an empty cell and click "doc" "insert" #7
8. Find the x-axis and find "x"
9. Find the y-axis and find "y"
10. Now press "MENU" #4 #6 #1
And you found your y=mx+b: y=0.5x+8.2
Now, how much money per hour.
So you've found your m and b but now you have to:
1. Replace y with 15 and solve it
15=0.5x+8.2
-8.2 -8.2
6.8=0.5x
Divide 0.5 on both sides
6.8/0.5=13.6
13.6=x
$13.6 per hour
The function j(x)=31x represents the number of jumping jacks j(x) you can do in x minutes. How many jumping jacks can you do in 10 minutes?
Answer:
310 jumping jacksStep-by-step explanation:
Given function:j(x) = 31xTo findj(10)SolutionSubstituting the value of x in the given function:
j(10) = 31*10 = 310Francis deposits $11,000 in an IRA. What will be the value of his investment in 9 years if the investment is earning 4.1% per year and is compounded continuously?
Answer:
$15,059
Step-by-step explanation:
4.1 x 9 = 36.9
36.9% of 11,000 = 4059
11,000 + 4,059 = 15,059
The value of the investement after 9 years ompounded continuously is .$15792.44
Compound interestCompound interest is the interest on an amount of money invested
The formula for calculating compound interest is expressed as:
A =P(1+r)^n
Given
P = 11000
r = 4.1% = 0.041
n = 1
t =9 years
Substitute
A = 11000(1+0.041)^9
A = 11000(1.041)^9
A= .$15792.44
Hence the value of the investement after 9 years ompounded continuously is .$15792.44
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PLEASE HELP ME IM GIVEING POINTS AWAY BEING TOO LAZY TOO SOLVE MY CLASS WORK LOL
Answer:
17/24
Step-by-step explanation:
Apply the AB rule, Adjust the fractions based on LCM, then you want to apply the a/b fraction rule which would allow you to do -15+23/24 which gives you 17/24. Hope this helps!
Answer:
1/5
Step-by-step explanation:
I JUST DID THE MATH
The average of Johnny's two test grades is a 92 what must he get on his 3rd test to raise his average to a 94?
Answer:
Johnny needs to score 98 on third test to raise average to 94
Step-by-step explanation:
Given that average of two tests is 92.
The score of next test has to be found that means there will be a total of 3 tests.
The average will be:
[tex]Avg = \frac{test1+test2+test3}{3}[/tex]
It is also given that he has to raise his average to 98
We have to use the average formula for finding the third value
So,
[tex]94 = \frac{92+92+test3}{3}\\94*3 = 184+test3\\282 = 184+test3\\test3 = 282-184\\test3 = 98[/tex]
Hence,
Johnny needs to score 98 on third test to raise average to 94
Answer:
Johnny would need to get a 98
Step-by-step explanation:
You would need to use the average formula and see what it would be eual to.
slove by square roots :2x^2+11=131
Step-by-step explanation:
2x²+11=131
2x²=131-11
2x²=102
x²=102
2
x²=51
x=√51
Dawson practices soccer for 30 minutes each weekday the expression 30x can be used to find the total number of minutes Dawson has practiced at soccer what does x mean
Answer:
How many days he practiced I would assume.
Step-by-step explanation:
As an example lets say he practiced for 3 days then it would be 30(3) and that would add up to 90 mins, so yea how ever many days he practiced is X.
x=days practiced
Two vehicles, a car and a truck, leave an intersection at the same time. The car heads east at an average speed of 30 miles per hour, while the truck heads south at
an average speed of 70 miles per hour. Find an expression for their distance apart d (in miles) at the end of thours.
At the end of t hours, the two vehicles are miles apart.
(Simplify your answer. Type an exact answer, using radicals as needed.)
Write the opposite of each number 47 -33 243 -907 88
Answer:
-47 33 -243 907 -88
Step-by-step explanation:
Finding a Segment Length
What is the value of x and the length of segment DE?
E
F
15
9
9
2x + 3
2 10x + 15 = 9(9)
9
2x+3
X
Length of DE =
D
units
5
С
Answer:
x = 6.6
length of DE = 16.2
Step-by-step explanation:
edge 2020
