A particle moves along the curve y = 5x^2 – 1 in such a way that the y value is decreasing at the rate of 2 units per second. At what rate is x changing when x = 1?
Decreasing one fifth unit/sec
Increasing one fifth unit/sec
Decreasing one tenth unit/sec
Increasing one tenth unit/sec
Answer:
The correct option is;
Increasing one fifth unit/sec
Step-by-step explanation:
The equation that gives the curve of the particle of the particle is y = 5·x² - 1
The rate of decrease of the y value dy/dt = 2 units per second
We have;
dy/dx = dy/dt × dt/dx
dy/dx = 10·x
dy/dt = 2 units/sec
dt/dx = (dy/dx)/(dy/dt)
dx/dt = dy/dt/(dy/dx) = 2 unit/sec/(10·x)
When x = 1
dx/dt = 2/(10·x) = 2 unit/sec/(10 × 1) = 1/5 unit/sec
dx/dt = 1/5 unit/sec
Therefore, x is increasing one fifth unit/sec.
PLease help me! its urgent due now
You decide to invest $997.90 at an interest rate of 17% l, how long will it take to triple your money? Round to the nearest whole number.
Answer:
Approximately 18 years
Step-by-step explanation:
Triple: 997.90*3. which is 2993.7
997.90*0.17*x=2993.7
(x is time)
169.643x=2993.7
x=2993.7/169.643
x= approximately 17.64....... years/
18 years.
Hope this helps plz hit the crown :D
solve this question
a=7+3
Answer:
10Step-by-step explanation:
The answer is 10 because 7 + 3 equals 10!
This can be proven by adding 7 + 3 or by subtracting in a certain way.
7 + 3 = ?
7 + 1 = 8
7 + 2 = 9
7 + 3 = 10
You can show more work by subtracting your answer or 10 in this case, which means that you subtract 7 by 10 or 3 by 10, either way is ok.
If you subtract 7 by 10, ( 10 - 7 ) then you get 3
If you subtract 3 by 10, ( 10 - 3 ) then you get 7
If the number you subtracted matches the number that you didn't subtract, then your answer is correct.
Hope this helps! <3
is it one to one or onto? why?
Answer:
Step-by-step explanation:
Given quadratic function is,
f(x) = -x² - x + 1
Range of the function has been defined as (-∞, [tex]\frac{5}{4}[/tex] ]
Domain of the function is a set of all real numbers.
From the graph of this function,
At x = -3 and x = 2, value of y = -5
But for one to one functions, every x value should map to a different value of y.
Therefore, function is not one to one.
Since, every value of domain (x-value) maps the range (y-value) in the given range (-∞, [tex]\frac{5}{4}[/tex] ], function will be defined as onto.
Therefore, this function is ONTO, but NOT ONE TO ONE.
Using the scenario below, what would you do in each step of the SIPDE
process:
You are driving at 55 mph on an Interstate. A car in front of you has a
blow out on its right front tire.
Answer:?
Step-by-step explanation:
Answer: scanning, predicting, identifying, decision making, and executing
Step-by-step explanation:
how do you solve this equation k=4L-7
Answer:
l=k/4+7/4
Step-by-step explanation:
How to write an equation in slope-intercept form with a graph
For example:
Answer:
y = - x - 1 is the answer to the graph
If csc Ф = 4/3, what is the value of sin Ф
Step-by-step explanation:
Since cosecx = 1 / sinx,
sinФ = 1 / cosecФ = 1 / (4/3) = 3/4.
3 number sentences with the answer of 2021.
Number sentence may have exponents, parenthesis, etc.
Help me please. I need helpppppoooooopppppopopppp
Answer:
0
Step-by-step explanation:
The minimum number of cavities a patient had was 0 cavities.
Answer:
0
Step-by-step explanation:
The smallest number that indicates cavity is '0' therefore it is the minimum number of cavities
Jordan is buying plastic plates for a party.The plates usually cost $2.40 per 10 plates,but they are on sale for 30% off usual price.If jordan buys 50 plates,how much will they cost
30% off means they are paying 70% of the original price.
Sale price = 2.40 x 0.70 = $1.68 for 10 plates
50 plates / 10 = 5
They buy 5 packages of plates.
1.68 x 5 = $8.40
Total price = $8.40
Answer:
Step-by-step explanation:
2.40 X 5 =$12
12 X 0.3=$3.6 off
12-3.6=$8.40
Therefore it'll cost $8.40
Graph a line that constans the point (-7,-4) and has a slope of -2/3
Answer:
2-3 -7-4 is the answer I hope it helps
I have a question on Khan Academy and it says super salad dressing is made with 8 mL of oil for every 3 ml of vinegar which of the following mixtures will take the same as super salad dressing
then it says choose 3 answers there's 5 choices a b c and d a is 80 ml of oil with 30 ml of vinegar
B is 3 ml oil with 8 ml of vinegar
C is 56 mL of oil with 21 mL of vinegar
d 40 mL of oil with 25 mL of vinegar
e is 48 mL of oil with 18 mL of vinegar
Answer:
e
Step-by-step explanation:
8ml x 6= 48ml of oil
3ml x 6= 18ml of vineger
Elena walked 12 miles. Then she walked 0.25 that distance. How far did she walk altogether? Select all that apply.
The amount of variation in the dependent variable that cannot be accounted for by the combination of independent variables in regression analysis is called .
Answer:
A linear function has an x-intercept of 12 and a slope of StartFraction 3 Over 8 EndFraction. How does this function compare to the linear function that is represented by the table?
x
y
Negative two-thirds
Negative three-fourths
Negative one-sixth
Negative StartFraction 9 Over 16 EndFraction
One-third
Negative StartFraction 3 Over 8 EndFraction
StartFraction 5 Over 6 EndFraction
Negative StartFraction 3 Over 16 EndFraction
It has the same slope and the same y-intercept.
It has the same slope and a different y-intercept.
It has the same y-intercept and a different slope.
It has a different slope and a different y-intercept
Step-by-step explanation:
Helppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
-5, -2, 1, 3.
Step-by-step explanation:
This is how you would put them in order from least to greatest.
Answer:
-5,-2,1,3
Step-by-step explanation:
Hope it helps
Identify the like terms:
4x - 7+ 6y + 2x + x + 16 - 3x
Answer:
4x−7+6y+2x+x+16−3x
=4x+−7+6y+2x+x+16+−3x
Combine Like Terms:
=4x+−7+6y+2x+x+16+−3x
=(4x+2x+x+−3x)+(6y)+(−7+16)
=4x+6y+9
Answer:
=4x+6y+9
find the value of variable y using appropriate identity (y-5)2-(y-3)2=12
Answer:
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow (y-5)2-(y-3)2=12 [/tex]
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow 2y-10-2y-6=12[/tex]
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow 2y-2y-10-6=12 [/tex]
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow -16=12 [/tex]
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow y's\:value\:is\:undefined [/tex]
Answer:
[tex] {(y - 5)}^{2} - {(y - 3)}^{2} = 12 \\ = ( {y}^{2} - 10y + 25) - ( {y}^{2} - 6y + 9) = 12 \\ = {y}^{2} - 10y+ 25 - {y}^{2} + 6y - 9 = 12 \\ = - 4y + 16 = 12 \\ = - 4y = 12 - 16 \\ = - 4y = - 4 \\ = y = \frac{ - 4}{ - 4} \\ = \boxed{y = 1}[/tex]
y=1 is the right answer.I will give brainliest!!!! What is the area of a circle with a circumference of 16?
Answer:
20.37183...
hope this helps!
Answer:
Step-by-step explanation:
the area is 20.37 if u need the steps just add a comment and ill show the steps
Determine the intercept of the line
Question 18 will give brainliest
Answer:
as below
Step-by-step explanation:
It was estimated that 650 people would attend the baseball game, but 683 people actually attended.
What is the percent error, to the nearest percent, of the estimate?
Answer:5
Step-by-step explanation:
I need help, can someone tell me the answer to 13x + 3 - 7x - 1? Please and thank you.
Answer:
6x+2 is the answer
Step-by-step explanation:
.......
Riley buys ice cream and oranges at the store.
She pays a total of $37.15.
She pays a total of $3.62 for the ice cream.
She buys 7 bags of oranges that each cost the same amount.
How much does each bag of oranges cost?
Answer:
4.79 dollars.
Step-by-step explanation:
7x + 3.62 = 37.15
7x= 37.15-3.62
7x=33.53
x= 33.53/7=4.79 dollars.
Helpppppppppppppppppppppppppppppppp[ppppppppp
Is it true that Terms with no variables are like terms?
Answer:
yes
Step-by-step explanation:
Please help me wiyh this
In triangle △WXY, XY ≅ WX and m∠X=38 Find m∠W
Order the following from biggest to smallest = 10 g = 10 kg = 10 mg
Answer:
10 kg = 10g = 10 mg
Hope this helped ;)
Which of the following expression is a perfect square?
A. 4x
B. 4x2
C. 6x4
D. 8x