Answer:
Approximately 3 bottles
Step-by-step explanation:
28*4 = 112 tablets in a month
122/55 = 2.218 bottles
Basically, you will need to buy 3 bottles.
find derivative of f(x)=[tex]9x^{2}(1+2x^{-3})[/tex]
The derivative of the given equation is x = −3√2 ≈−1.259921049894873.
What is a derivative?In mathematics, the derivative is the rate of variation of a function given respect to a variable. Derivatives are essential for solving calculus related differential equation issues.
What exactly is a derivative in calculus?The derivative is defined as the slope of a straight line that is tangent towards the curve at a certain location. An additional derivative definition is the limit of the function's instantaneous rate of evolution as the time between observations approaches zero. activity, such as currency and interest rate risk, for a set length of time.
What is the significance of studying derivatives?It is significant because many physical phenomena, such as velocity, acceleration, and force, are defined with an instantaneous rate of change of some other quantity.
According to the given data:Given :
9x^2(1+2x^-3).
= [tex]9\left(\frac{2}{x^3}+1\right) x^2[/tex]
= [tex]\frac{\mathrm{d}}{\mathrm{d} x}\left[9\left(\frac{2}{x^3}+1\right) x^2\right][/tex]
= [tex]=9\left(\frac{\mathrm{d}}{\mathrm{d} x}\left[\frac{2}{x^3}+1\right] \cdot x^2+\left(\frac{2}{x^3}+1\right) \cdot \frac{\mathrm{d}}{\mathrm{d} x}\left[x^2\right]\right)[/tex]
= [tex]=9\left(\left(2 \cdot \frac{\mathrm{d}}{\mathrm{d} x}\left[\frac{1}{x^3}\right]+\frac{\mathrm{d}}{\mathrm{d} x}[1]\right) x^2+\left(\frac{2}{x^3}+1\right) \cdot 2 x\right)[/tex]
= [tex]=9\left(\left(2(-3) x^{-4}+0\right) x^2+\left(\frac{2}{x^3}+1\right) \cdot 2 x\right)[/tex]
= [tex]=9\left(2\left(\frac{2}{x^3}+1\right) x-\frac{6}{x^2}\right)[/tex]
= [tex]=18\left(\frac{2}{x^3}+1\right) x-\frac{54}{x^2}[/tex]
= [tex]\frac{18 x^3-18}{x^2}[/tex]
x = −3√2 ≈−1.259921049894873.
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A barge (flat bottomed freight boat) moving with a speed of 1.00 m/s increases speed uniformly, so that in 30.0 seconds it has traveled 60.2 m. What is the magnitude of the barge's acceleration?
Answer:(a) Choose the initial point where the pilot reduces the throttle and the final point where the boat passes the buoy: X
i
=0,X
f
=100m,
V
xi
=30m/s,V
xf
=?,a
x
=−3.5m/s
2
,andt=?
X
f
=X
i
+V
xi
t+
2
1
a
x
t
2
100m=0+(30m/s)t+
2
1
(−3.5m/s
2
)t
2
(1.75m/s
2
)t
2
−(30m/s)t+100m=0
We use the quadratic formula:
t=
2a
−b±
b
2
−4ac
t=
2(1.75m/s
2
)
30m/s±
900m
2
/s
2
−4(1.75m/s
2
)(100m)
=
3.5m/s
2
30m/s±14.1m/s
=12.6s or 4.53s
The smaller value is the physical answer. If the boat kept moving with the same acceleration, it would stop and move backward, then gain speed, and pass the buoy again at 12.6s.
(b) V
xf
=V
xi
+a
x
t=30m/s−(3.5m/s
2
)4.53s=14.1m/s
Step-by-step explanation:
what is the answer to -24-(-19)
[tex] \tt{ \\ - 24 - ( - 19) \\ \\ \green \rightarrow - 24 + 19 = - 5}[/tex]
The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a student's alarm clock has a 8.2% daily failure rate.
a. What is the probability that the student's alarm clock will not work on the morning of an important final exam?.
b. If the student has two such alarm clocks, what is the probability that they both fail on the morning of an important final exam?
c. What is the probability of not being awakened if the student uses three independent alarm clocks?
The solution to the probabilities in this principle of redundancy are:
a) 0.082b). 0.006724c.) 0.000551How to solve for the probabilityA. The probability that the alarm clock of this student would not work on the morning of an important exam is
= 8.2%
= 0.082
b. The probability that the 2 alarms would fail on the morning of an important exam is
p(alarm 1 failing) x p(alarm 2 failing)
= 0.082 x 0.082
= 0.006724
c. The probability that the student would not wake with the use of 3 independent alarms
= p(alarm 1 failing) x p(alarm 2 failing) x p(alarm 3 failing)
= 0.082 x 0.082 x 0.082
= 0.000551
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Math question please answer
Answer:
Option 3
Step-by-step explanation:
See attached image.
The population of Brazil was 10.112 million in 1855 and 12.51 million in 1860. Estimate the population of Brazil in 1870.
A.
11.82 million
B.
12.81 million
C.
19.15 million
D.
20.00 million
Based on the population of Brazil in 1855 and 1860, the estimated population in 1870 is C. 19.15 million
What is Brazil's estimated population in 1870?The increase in the population between 1855 and 1860 was:
= 12.51 - 10.112
= 2.398 million
The increase is:
= 2.398/10.112
= 24%
With an increase of 24% every 5 years, the population in 1870 is:
= 10.112 x (1 + 24%)³
= 19.27 million
In conclusion, we can estimate that the population of Brazil in 1870 was 19.15 million.
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1/5x+1/4=1/2(x+5) What is x
Answer: [tex]-\frac{15}{2}[/tex] or -7.5
Step-by-step explanation:
[tex]\frac{1}{5} x + \frac{1}{4} = \frac{1}{2} (x+5)[/tex]
[tex]\frac{1}{5} x + \frac{1}{4} = \frac{1}{2}x + \frac{5}{2}[/tex]
[tex]\frac{1}{5} x + \frac{1}{4} - \frac{5}{2}= \frac{1}{2}x[/tex]
[tex]\frac{1}{4} - \frac{5}{2}= \frac{1}{2}x - \frac{1}{5} x[/tex]
[tex]-\frac{9}{4} = \frac{3}{10} x[/tex]
[tex]-\frac{9}{4} divide \frac{3}{10}= x[/tex]
[tex]x = -\frac{15}{2}[/tex]
n×50=5,000 explain solution.
Answer:
100 is your answer
Step-by-step explanation:
I simply switched around the equation the answered it that way
Example: n×50=5,000
5000/50=n
500/50=100
Please please help me i need help with explanation please see picture
In 2-15, estimate each product.
77 x 412
Answer:
Hope this helps :)
412 × 77 = 31,724
Which is estimated about 30,000 something.
34.624 times what equals 34,624
Answer:
1000
Step-by-step explanation:
The equation is,
→ 34.624 × x = 34624
Solving for the value of x,
→ 34.624 × x = 34624
→ x = 34624/34.624
→ [ x = 1000 ]
Thus, value of x is 1000.
between which two hundred thousands is the number 185,104
Answer:
185,104 is between 100,000 and 200,000.
Hope this helps :)
Step-by-step explanation:
100,000 comes before 185,104 and 200,000 comes after 185,104.
What is the answer?I am really lost.
Answer:
nine, you could find the answer from the instruction
Benny received an amount of money on Monday. Every subsequent day, the amount of money he received was twice as much as that received the previous day. On the fifth day, he received $112. How much money did he receive on Monday?
Answer:
He received $7
Step-by-step explanation:
$7 - Monday {first day}
$7 × 2 = $14 Tuesday {second day}
$14 × 2 = $28 Wednesday {third day}
$28 × 2 = $56 Thursday{ fourth day}
$56 × 2 = $112 friday {fifth day}
The square of an integer is 100.
What can you say about the cube of the intger
The possible cubes of an integer whose square is 100 can be 1000 and (-1000).
If the square of an integer is 100, then to find the value of integer we need to know the square root of 100
There exist two square roots of any number one with negative sign and another with positive sign
The square roots of the given integer that is 100 are 10 and -10
Now, we need to find out the value of [tex]10^{3}[/tex] and [tex]-10^{3}[/tex]
First cube [tex]10^{3}[/tex] which can also be written as 10×10×10 = 1000
Second cube [tex]-10^{3}[/tex] which can also be written as( -10)×(-10)×(-10) = (-1000)
So, the possible cubes of an integer whose square is 100 can be 1000 and (-1000).
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Nancy spent 1/5 of her money on a dress and 1/4 of the remainder on a handbag, if she spent a total of $100, how much did he have at first?
Nancy had $ 250 at the start when she did not buy anything given by the equation $ 100 = 2 x / 5
Let the original amount Nancy have first be x.
Therefore, Money spent on dress = x / 5
Remaining money = x - x / 5
= 4 x / 5
Money spent on handbag = (1 / 4) × 4 x / 5
= x / 5
Total total money spent is given by the equation:
= x / 5 + x / 5 = $ 100
$ 100 = 2 x / 5
2 x = $ 500
⇒ x = $ 500 / 2
⇒ x = $ 250
Hence, Nancy had $ 250 at the start when she did not buy anything given by the equation $ 100 = 2 x / 5
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What is the ratio for dogs is 5 to 3. There are 25 dogs how many cats are there
Answer:
25:15
Hope this helps :)
Step-by-step explanation:
5:3 so since there is 25 dogs we had to multiply 5 to the 5 in 5:3. We will have to multiply 5 to the 3 in 5:3 to get number of cats.
5:3 = 25:15
Answer:
[tex] = 15[/tex]
Step-by-step explanation:
Taking that the ratio of dogs to cats is 5:3, then:
dogs =5cats = 3The number of dogs = 25, so:
[tex]5 = 25 \\ 3 = x \\ x= 25 \times 3 \div 5 \\ x = 15[/tex]
How many 3 digit passcodes are possible if the digits, chosen from the set {1, 2, 3, 4, 5}, cannot be repeated and the first digit must be an even number.
==================================================
Explanation:
The first digit must be even, so we have this subset {2,4} to pick from for that first digit. There are 2 choices here.
Whatever is picked for the first digit cannot be re-selected. So we have 5-1 = 4 choices left for the second digit, and then 4-1 = 3 choices for the third digit.
Overall we have 2*4*3 = 24 different passcodes.
Is the following relation a function? x y (1 4 )(−1 −2 )(3 10)( 5 16) a Yes b No
The relation defined by the given set of coordinates → (1, 4) , (−1, −2 ) , (3, 10) , (5, 16) represents a function.
What is function?
A function is relation between a dependent [x] and independent [y] variable . The value of the dependent variable [y] depends upon the value of the independent variable [x].
Given is a relation defined by the following set of coordinates -
(1, 4) , (−1, −2 ) , (3, 10) , (5, 16).
For a given relation, defined by the given set of coordinates to be a function, there should be a unique value of y-coordinate for a unique value of x-coordinate. However, the value of y-coordinate can be same for different values of x-coordinates. From the relation given, we can see that - for every value of x, there are unique values of y. Hence, the given relation is a function.
Therefore, the relation defined by the given set of coordinates → (1, 4) , (−1, −2 ) , (3, 10) , (5, 16) represents a function.
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One month, Miko bought two books at a used book store for $2. Over the next few months, she bought four books for a total of $5, six books for a total $7, and eight books for a total of $10. Is the cost proportional to the number of books purchased? Explain.
$190 is the cost proportional to the number of books purchased'
What is the short answer to cost?
A company's cost is the amount of money it had to spend to create its goods or services. It is calculated as the sum that the business spends to create a specific number of a product. Simply put, it is the cash that a business spends on things like labor, services, raw materials, and other costs.Mike purchased total books = 2 × $2 + 4 × $5 + 6 × $7 + 8 × $10
= 4 + 20 + 30 + 56 + 80
= $190
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simplify
please solve this...
Answer:
y-1/y^2 +4y
Step-by-step explanation:
2y - 1/y x (y + 4) - y-2/y^2 +4y - 2y -8
2y-1/y x (y+4 - y-2/y x (y +4 ) - 2(y + 4)
2y -1 / y x (y+4) - y-2/(y+4) x (y-2)
2y-1/y x (y+4) - 1/y +4
2y -1 -y/y x (y + 4)
y-1/y^2 +4y
Answer:
[tex]\dfrac{y-1}{y(y+4)}[/tex]
Step-by-step explanation:
Given expression:
[tex]\implies \dfrac{2y-1}{y^2+4y}-\dfrac{y-2}{y^2+2y-8}[/tex]
Factor the denominators of both fractions:
[tex]\implies \dfrac{2y-1}{y(y+4)}-\dfrac{y-2}{y^2+4y-2y-8}[/tex]
[tex]\implies \dfrac{2y-1}{y(y+4)}-\dfrac{y-2}{y(y+4)-2(y+4)}[/tex]
[tex]\implies \dfrac{2y-1}{y(y+4)}-\dfrac{y-2}{(y-2)(y+4)}[/tex]
Cancel the common factor (y - 2) of the right fraction:
[tex]\implies \dfrac{2y-1}{y(y+4)}-\dfrac{1}{(y+4)}[/tex]
Adjust the fractions based on the LCM of y(y + 4):
[tex]\implies \dfrac{2y-1}{y(y+4)}-\dfrac{y}{y(y+4)}[/tex]
[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}:[/tex]
[tex]\implies \dfrac{2y-1-y}{y(y+4)}[/tex]
Simplify:
[tex]\implies \dfrac{y-1}{y(y+4)}[/tex]
Daisy walked from home to her friends house, which is 700m away, in 5 minutes. she stayed for 30 minutes, then walked home in 10 minutes
Based on the distance of her friend's house, the rate at which Daisy walked to the house was 140 m/s and the rate at which she walked home was 70 m/ s.
What was the rate that Daisy walked?The rate that Daisy walked to her friend's house can be found by the formula:
= Distance to friend's house / Number of minutes it took
= 700 / 5
= 140 m/ s
When Daisy was walking home, her rate was:
= Distance to home / Number of minutes it took
= 700 / 10
= 70 m/ s
Rest of the question:
What was Daisy's walking speed going to her friend's house and coming back?
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2(x-3) + 5x less than or equal to 9x - 14
Answer: It would most llikely be more than, but im not sure.
Find an equation of the place contains the curve with the vector (6 sint, cost, -cost)
The equation of the plane contains the curve with the vector (6 sint, cost, -cost) is [tex]F(t)=(6sint\ , \ cost , \ -cost)[/tex]
A parametric equations is a type of equation with an independent variable, called the parameter (often denoted by t), in which the dependent variable is defined as a continuous function of the parameter and does not depend on any other existing variables. A parametric equation gives the equation of the curve on the coordinate plane. It usually takes the form given by two different functions of coordinates and variables which is given by [tex]F(t)=(x(t) , y(t) , z(t) )[/tex] ...(1)It is given that a plane contains the curve with the vector (6 sint, cost, -cost) which can be written as [tex]x(t)=6sint ,\ y(t)=cost , \ z(t)=-cost[/tex]
Putting above values in equation (1) , we get
[tex]F(t)=(6sint\ , \ cost , \ -cost)[/tex]
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Function Operations
Given the functions: f(x) = 6x + 3 and g(x) = x² + 10x - 7,
Part 1
[tex](f+g)(x)=f(x)+g(x) \\ \\ =(6x+3)+(x^2 +10x-7) \\ \\ =\boxed{x^2 + 16x-4}[/tex]
Part 2
[tex](f-g)(x)=f(x)-g(x) \\ \\ =(6x+3)-(x^2 +10x-7) \\ \\ =6x+3-x^2-10x+7 \\ \\ =\boxed{-x^2 - 4x+10}[/tex]
Part 3
[tex](f\cdot g)(x)=f(x) \cdot g(x) \\ \\ =(6x+3)(x^2 +10x-7) \\ \\ =6x^3 + 60x^2 - 42x+3x^2 + 30x-21 \\ \\ =\boxed{6x^3 + 63x^2 - 12x-21}[/tex]
Part 4
[tex]\left(\frac{f(x)}{g(x)} \right)=\frac{f(x)}{g(x)} \\ \\ =\boxed{\frac{x^2 + 10x-7}{6x+3}}[/tex]
Can anyone help me with this problem?
Answer:
I genuinely believe the answer is five
Step-by-step explanation:
What is the slope of the line that contains the points (4, 3) and (2, 7)?
if f is a function from R to R such that f(x)f(y)=f(x+y)+f(z-y) and f(1)=3, then what is the value of f(7)?
I suppose you mean
[tex]f(x) f(y) = f(x + y) + f(x - y)[/tex]
Let [tex]x=1[/tex] and [tex]y=0[/tex]. Then
[tex]f(1) f(0) = f(1 + 0) + f(1 - 0) \implies f(1) f(0) = 2 f(1) \implies f(0) = 2[/tex]
Now if we fix [tex]y=1[/tex], the functional equation reduces to the recurrence relation
[tex]f(x) f(1) = f(x + 1) + f(x - 1) \implies f(x+1) - 3f(x) + f(x-1) = 0[/tex]
and we can find [tex]f(7)[/tex] with a few rounds of substitution.
[tex]x=1 \implies f(2) - 3f(1) + f(0) = 0 \implies f(2) = 3f(1) - f(0) = 7[/tex]
[tex]x=2 \implies f(3) - 3f(2) + f(1) = 0 \implies f(3) = 3f(2) - f(1) = 18[/tex]
[tex]x=3 \implies f(4) - 3f(3) + f(2) = 0 \implies f(4) = 3f(3) - f(2) = 47[/tex]
[tex]x=4 \implies f(5) - 3f(4) + f(3) = 0 \implies f(5) = 3f(4) - f(3) = 123[/tex]
[tex]x=5 \implies f(6) - 3f(5) + f(4) = 0 \implies f(6) = 3f(5) - f(4) = 322[/tex]
[tex]x=6 \implies f(7) - 3f(6) + f(5) = 0 \implies f(7) = 3f(6) - f(5) = \boxed{843}[/tex]
Carlos' pay stub is shown. What is his net
pay? Round to the nearest cent.
Gross Pay (Wages)
Medicare
Social Security (6.2%)
Federal Withholding
Income Tax (19%)
Gross Pay-$1,800.00
Medicare-$26.10
Social Security (6.2%)-?
Federal Withholding Income Tax (19%)-?
By removing the taxes from the gross pay, we can see that Carlos' net pay is 1,320.30 dollars.
How to get Carlos' net pay?To get Carlos' net pay, we need to take his gross pay, which is $1,800.00 and subtract all the taxes shown here.
The taxes (in percentage) are:
Income tax = 19%Social security = 6.2%The total percentage in these taxes is 19% + 6.2% = 25.2%
Then a 25.2% of the gross pay will be gone in taxes, then we need to subtract:
0.252* $1,800.00 = $453.60
We also need to subtract the $26.10 for Medicare, then we will get that Carlos' net pay is given by the expression:
$1,800.00 - $26.10 - $453.60 = $1,320.30
We conclude that, after taxes and that, Carlos' net pay is 1,320.30 dollars.
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5k + 3 ≤ − 32 or −4k + 7 < −29
Answer/Step-by-step explanation:
5k + 3 ≤ -32 or -4k + 7 < -29
-3 -3 -7 -7
5k ≤ -35 -4k < -36
÷5 ÷5 ÷-4 ÷-4
k ≤ -7 k > 9
<---- ------------>
<----|----------------O----------->
-7 9
(-∞, -7], (9, ∞)
I hope this helps!
