Answer:
[tex]\frac{dy}{dx}=-\frac{x}{y}[/tex]
Step-by-step explanation:
Use implicit differentiation:
[tex]x^2+y^2=25\\\\2x+2y\frac{dy}{dx}=0\\ \\2y\frac{dy}{dx}=-2x\\ \\\frac{dy}{dx}=-\frac{x}{y}[/tex]
Remember to treat "y" as a constant in implicit differentiation and include dy/dx.
A cell phone measures 10 cm long, 6 cm long, and 2 cm high. What is the volume of the cell phone?
Answer: 120cm
Step-by-step explanation:
Multiply length x width x height
10 x 6 x 2 is equal to 120, so the volume is 120cm or centimetres.
Answer:
10cmx6cmx2cm
6x2=12
12×10=120cm
What would you do if fear was not a factor and you could not fail?`
i know it's not a maths question but let's try
Answer:
Well, i would just say you just had to do your best in everything that you do. No pressure , no stress don't overwork yourself and simply take action. Then you will have a chance to get what you want because you tried your best to get to it. Although sometimes we don't get what we want, atleast we'll be closer. As they say, 'Aim for the sun to reach the moon"
Step-by-step explanation:
You're welcome
What is the coefficient of x in 4+[tex]3y^{2}[/tex]+x?
ASAP PLS ANSWER
Hello!
Please remember that
The coefficient is the number before a variable.Example:
4T+5H
In this example, the coefficient of T is 4, and the coefficient of H is 5.
So let's identify the coefficient of x.
It seems like x doesn't have a coefficient, but it does.
It's equal to 1.
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
Can you please help
Answer:
used formula to find Area of parallelogram
area of parallelogram =b× h
Step-by-step explanation:
solution :
given ,
h = 7cm
b = 9 cm
we know ,
Area of parallelogram = b× h
=63cm²
How much of a radioactive kind of promethium will be left after 20 days if you start with
9,056 grams and the half-life is 5 days?
in 20 days 4 half life will be completed
so n = 4
formula :-
[tex] \frac{ A\degree}{ {2}^{n} } = \frac{9056}{ {2}^{4} } = \frac{9056}{16} = 566grams[/tex]
The radioactive kind of promethium will have 566 grams left after 20 days.
What is half-life?Half-life is the time required for a quantity to reduce to half of its initial value.
Given, A radioactive kind of promethium with 9,056 grams and a half-life is 5 days.
∴ In the next 5 days, it'll have (9056/2) = 4528 grams.
Next 5 days it'll have (4528/2) = 2269 grams.
As it has a half-life in 5 days and 20 is multiple (4×5).
After 20 days the radioactive material will have (9056/2⁴) grams.
= 566 grams left.
learn more about half-life here :
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A sample of bacteria is decaying according to a half-life model. If the sample begins with 500 bacteria,
and after 17 minutes there are 150 bacteria, after how many minutes will there be 10 bacteria
remaining?
When solving this problem, round the value of k to four decimal places and round your final answer to
the nearest whole number.
contact +2348021312463, he can help you
after approximately 137 minutes, there will be 10 bacteria remaining.
To find the time at which there will be 10 bacteria remaining, we can use the half-life model for exponential decay, which is given by:
N(t) = N₀ * [tex](1/2)^{(t / t_{half})[/tex]
where:
N(t) = the number of bacteria at time t
N₀ = the initial number of bacteria
t = time (in minutes)
t_half = the half-life of the bacteria
We are given that the initial number of bacteria (N₀) is 500 and after 17 minutes there are 150 bacteria (N(17) = 150).
Let's use this information to find the value of k (the decay constant):
150 = 500 * [tex](1/2)^{(17 / t_{half})[/tex]
Divide both sides by 500:
[tex](1/2)^{(17 / t_{half})[/tex] = 150 / 500
[tex](1/2)^{(17 / t_{half})[/tex] = 0.3
Now, we can write the equation as an exponent:
17 / t_half = log base (1/2) of 0.3
Using logarithms:
t_half = 17 / log base (1/2) of 0.3
Now, calculate t_half:
t_half = 17 / log base 2 of 0.3 ≈ 38.555
Now, we can find the time at which there will be 10 bacteria remaining (N(t) = 10):
10 = 500 * [tex](1/2)^{(t / 38.555)[/tex]
Divide both sides by 500:
[tex](1/2)^{(t / 38.555)[/tex] = 10 / 500
[tex](1/2)^{(t / 38.555)[/tex] = 0.02
Write the equation as an exponent:
t / 38.555 = log base (1/2) of 0.02
Using logarithms:
t = 38.555 * log base 2 of 0.02 ≈ 137.08
Rounding to the nearest whole number:
t ≈ 137
So, after approximately 137 minutes, there will be 10 bacteria remaining.
Learn more about half-life model here
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Given that V=1,3,4,2 and W= 6,4,7,2 then VW is
Select one:
of
O 4
0 1,3,6,7
O 2
0 2,4
Answer:
2,4 possibly
Step-by-step explanation:
if its V (intersection) W
then its 2,4
if it has something to do with patterns then i dont know
The family soent 125$ in may for electric bills, in june the bill increased by 12% bc they used the ac more often. Write a equation to calculate their total electricity bill in june. Let y equal the total cost
Answer:
125x 12 and divide the answer
Step-by-step explanation:
Answer:
125x 12 and divide the answer
Step-by-step explanation:
There are several ways to reduce how much does it cost to run an air conditioner. The two main ones are:Buying an air conditioner with a high energy efficiency rating (EER, SEER, CEERratings are valid specifications).Reducing the number of hours per day that you use a given air conditioner.Note: It’s recommended to estimate how much electricity does an air conditioner use before buying a specific unit.On average, running an air conditioner costs between $0.06 and $0.88 per hour. Let’s calculate how much does air conditioning cost per month (running 8h per day):
In a certain triangle, two of the sides have measures of 13 and 16. If the triangle is isosceles, then which of the following could be the measure of the third side?
A. 3
B. 29
C. 13
D. 32
PLEASEEE help! I think it's A or B
Answer:
Choice C.
An isosceles triangle always has two sides of the same length.
Stephanie has brought 12 bottles of juice to a party but there are more than 12 children. If she gives each child
3/4 of a bottle, how many children will she be able to serve?
Answer:
16 children
Step-by-step explanation:
divide 12 by .75 you get 16
hope that helps
Complete the missing exponent 64=4_
Answer:
64=4^3
Step-by-step explanation:
4x4x4=64. 4x4x4=4^3 as there are three 4s. Hope it helps!
Find f(x+2) if f(x)=(5x^2)-2x+3
Answer:
Use the given functions to set up and simplify f(x+2).
5x2+18x+19 This is the Answer if using The Function Operation.
-------------------------------------------------------------------------------------------------------
10x−2 This is the Answer if you want to find the Derivative
--------------------------------------------------------------------------------------------------------
I don't know if my answer is right if it's wrong I am sorry.
Anyways have an amazing day!
The following list gives the number of pets for each of 14 students.
2
,
0
,
2
,
4
,
4
,
4
,
3
,
2
,
3
,
4
,
1
,
3
,
3
,
2
Find the modes of this data set.
If there is more than one mode, write them separated by commas.
If there is no mode, click on "No mode."
Answer:
2,3,4
Step-by-step explanation:
Given data:
2,0,2,4,4,4,3,2,3,4,1,3,3,2
Solution:
Mode = Most often number
There are
4 = two's
1 = zero's
4 = four's
4 = Three's
1 = ones's
Hence the mode is:
2,3,4
~lenvy~
what is the area of the regular hexagon
Answer:
720
Step-by-step explanation:
n*180
n
the answer is 720
Nine times the sum of a number and 2 is equal to 4.
Answer:
9(n+2) = 4
Step-by-step explanation:
9(n+2) = 4
to solve for 'n' first distribute the 9 to get:
9n + 18 = 4
subtract 18 from each side to get:
9n = -14
n = -14/9
the formula P=F/A,where P=pressure,F=force,andA=area,is used to caculate pressure.solve this formula for F
[tex]P= \dfrac FA \implies F = PA[/tex]
A trapezoid has sides of length 16.7 centimeters, 12.9 centimeters, 16.7 centimeters, and 18.9 centimeters. What is the perimeter? centimeters
Answer:
65.2 cm
Step-by-step explanation:
P = a + b + c + d
P = 16.7 cm + 12.9 cm + 16.7 cm + 18.9 cm
P = 65.2 cm
The perimeter of the trapezoid is 65.2 cm.
Answer:
To find the perimeter of this trapezoid, simply add all four sides (since there are only four sides to a trapezoid):-
16.7 + 12.9 + 16.7 + 18.9
= 65.2 centimetres is the perimeter.
You can picture it like this;
A prize is divided in the ratio 5:1 if the larger share is £65 what is the total prize?
Answer:
£78
Step-by-step explanation:
65 divided by 5= £13
13+65=£78
Answer:
£78
Step-by-step explanation:
Let the total value be T.
£65/T = 5/(5 + 1)£65/T = 5/6T = 65 x 6 / 5T = 13 x 6T = £78What is the characteristics of a scatterplot
Answer:
Graphs pairs of numerical data, with one variable on each axis, to look for a relationship between them
Step-by-step explanation:
The scatter diagram graphs pairs of numerical data, with one variable on each axis, to look for a relationship between them. If the variables are correlated, the points will fall along a line or curve. The better the correlation, the tighter the points will hug the line.
lesson 8 practice probelms position,speed, and directions
The area labeled B is 9 times the area labeled A. Express b in terms of a.
b=_____?
Hi there!
For the graph on the left, we know that the area A is equal to:
[tex]A = \int\limits^a_0 {e^x} \, dx[/tex]
Area 'B' is 9 times this area, so:
[tex]B = 9 \cdot \int\limits^a_0 {e^x} \, dx[/tex]
We can evaluate the integral:
[tex]B = 9 \cdot \int\limits^a_0 {e^x} \, dx \\\\B = 9 \cdot e^x \left \| a}} \atop {0}} \right. \\\\B = 9 (e^a - 1)[/tex]
We also know that:
[tex]B = \int\limits^b_0 {e^x} \, dx[/tex]
Evaluate:
[tex]B = e^x \left \| b}} \atop {0}} \right. = e^b - 1[/tex]
Set the two equations for 'B' equal:
[tex]e^b - 1 = 9(e^a - 1)\\\\e^b - 1 = 9e^a - 9 \\\\e^b = 9e^a - 8[/tex]
Take the natural log of both sides:
[tex]ln(e^b) = ln(9e^a - 8)\\\\\boxed{b = ln(9e^a - 8)}[/tex]
Ben is going on a 380-mile trip. If he drives for 2 hours at an average speed of 50 miles per hour, how many miles will he still have left to go on on his trip?
Answer:
19000
Step-by-step explanation:
1 hour = 50 miles
2 hour = 100 miles
50×380 = 19000
find measure of the missing angles and justify your answer with postulates and theorems.
Answer:
Step-by-step explanation:
write a function that transforms f(x)=2^3+4 in the following way: stretch vertically by a factor of 6 and shift 5 units left.
Answer:
f(x) = 2x3 + 4
Stretch vertically be a factor of 2:
f(x) = 2*2x3 + 4 = 4x3 + 4
Shift 5 units to the left:
f(x) = 4(x+5)3 + 4
A=
B=
C=
? ? ? ? ? ? ? ? ? ? ? ? ? ?
Answer:
a=5 b=7 c=9
hope I helped :)
I need step by step written answer for this
Answer:
-1/2
Step-by-step explanation:
2/5 * - 3/7 - 1/14 - 3/7 * 3/5
= - 6/35 - 1/14 - 9/35
= - (6*2)/(35*2) - (1*5)/(15*5) - (9*2)/(35*2)
= - 12/70 - 5/70 - 18/70
= (-12 - 5 - 18)/70
=- 35/70
= - 1/2
can someone please help with this problem please
Answer:
1360 seats sold
Step-by-step explanation:
total seats = 1600
total seats sold = 85% of 1600
= 85/100 × 1600
= 85 × 16
= 1,360 seats sold
candy that costs 31 cents per pound is mixed with candy that costs 46 cents per pound to obtain 50 pounds of candy that costs 40 cents per pound. How many pounds of each of the two types of candy are in the mix?
Answer:
20 lb of 31 cent candy, 30 lb of 46 cent candy
Step-by-step explanation:
sorry don't have one
here is a smiley face for you
:D
The amount of each type of candy (in pounds) that are mixed for the considered condition is: 20 pounds of first type of candy and 30 pounds of second type of candy.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For this case, we can assume the separate weights of each type of candies to be represented by variables.
Let we have:
x = weight (in pounds) of first type of candy whose cost is 31 cents per pound.y = weight (in pounds) of second type of candy whose cost is 46 cents per pound.x pounds of first type of candy is mixed with y pounds of second candy.
The weight of the mixture = x + y = 50 pounds
The cost of the mixture = 40 cents per pound = [tex]40 \times 50 = 2000[/tex] cents
Cost of the mixture = cost of x pounds of first candy+ cost of y pounds of second candy = [tex]31x + 46y[/tex]
Thus, we get [tex]31x + 46y =2000[/tex]
Therefore, we got a system of two linear equations as:
[tex]x +y = 50\\31x + 46y =2000[/tex]
From first equation, we get:
[tex]x = 50 -y[/tex]
Substituting this value in second equation, we get:
[tex]31(50-y) + 46y =2000\\1550 + 15y = 2000\\15y = 450\\\\y = 450/15 = 30[/tex]
Putting this value of y in equation for x, we get:
[tex]x = 50-y = 50-30 = 20[/tex]
Thus, the amount of each type of candy (in pounds) that are mixed for the considered condition is: 20 pounds of first type of candy and 30 pounds of second type of candy.
Learn more about solving system of linear equations here:
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The graph shows the amount of caffeine left in the body after drinking a 20-ounce soft drink with 90 milligrams of caffeine. Which of the following exponential equations best fits the data?
y=90(2)^
y=2(90)^x
y=0.5(90)^x
y=90(0.5)^x
Answer:
y=90(0.5)^x
The y-intercept is (0,90), so when x=0, y should be 90.
By replacing x=0 in all equations you get;
1)
y=90(2)^0 =90 accepted
2)
y=2(90)^0 =2 rejected
3)
y=0.5(90)^0 =0.5 rejected
4)
y=90(0.5)^0 =90 accepted
Since this is an exponential decrease,
y=90(2)^x is rejected.
A string of decorative lights has 32 bulbs for every 2 feet of wire.
What is the unit rate of bulbs per yard?
HELP !!!!!
Answer:
First convert two feet into yards, knowing that:
1 foot = 0.333... yards
So,
2 feet in yards would mean double of 0.333... because one single foot is 0.333... yards.
2(0.333...)
= 0.666..., which we can round to 0.67.
So our new ratio will be 32 bulbs per 0.67 yards.
Now we convert this ratio into a unit rate,
Order your units;
Bulbs 32 47.76
______ ______ = ______, which rounds to about 48.
Yards 0.67 1
So the unit rate is 48 bulbs per yard.