From the formula R(300) - C(300) we understand that is loss of 7500 for the company.
The given functions are R(x) = 55x and C(x) = 15,000 + 30x.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is R(300) - C(300).
Now, R(300) = 55 × 300 = 16500
C(300) = 15,000 + 30 × 300
=15,000 + 9000
= 24,000
Now, R(300) - C(300) = 16500-24000
= -7,500
Therefore, from the formula R(300) - C(300) we understand that is loss of 7500 for the company.
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make x the subject of the relaton3x-ax=2x+5
Answer:
x =5/ (1-a)
Step-by-step explanation:
3x-ax=2x+5
Subtract 2x from each side
3x -ax-2x = 2x+5-2x
3x -ax -2x = 5
combine like terms
x-ax = 5
Factor out x
x(1-a) =5
Divide each side by 1-a
x =5/ (1-a)
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
[tex]3x-ax=2x+5\\\\3x-ax-2x=5\\\\(3-2)x-ax=5\\\\x-ax=5\\\\x(1-a)=5\\\\\dashrightarrow x=\dfrac{5}{1-a}[/tex]
From a random sample of 20 bars selected at random from those produced, calculations gave a mean weight of = 52.46 grams and standard deviation of s = 0.42 grams. Assuming t distribution is followed, construct a 90% confidence interval for the mean weight of bars produced, giving the limits to two decimal places.
Answer:
(52.30 ; 52.62)
Step-by-step explanation:
Given :
Sample size, n = 20
Mean, xbar = 52.46
Standard deviation, s = 0.42
We assume a t - distribution
The 90% confidence interval
The confidence interval relation :
C.I = xbar ± Tcritical * s/√n
To obtain the Tcritical value :
Degree of freedom, df = n - 1 ; 20 - 1 = 19 ; α = (1 - 0.90) /2 = 0.1/2 = 0.05
Using the T-distribution table, Tcritical = 1.729
We now have :
C.I = 52.46 ± (1.729 * 0.42/√20)
C. I = 52.46 ± 0.1624
C.I = (52.30 ; 52.62)
if √7-y=6, then y=
-29
-5
1
29
I don't know
Hello!
√7 - y = 6 <=>
<=> -y = 6 - √7 <=>
<=> y = -6 + √7 => √7 - (-6 + √7) = 6
Good luck! :)
Answer:
-29
Step-by-step explanation:
When you substitute 1 for y in the original equation, you get:
7−(1)−−−−−−√
=?
6
6–√
≠
6 So 1 is not a solution.
Help please Find the measure of the missing angles.
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Answer:
x = 64°
y = 26°
Step-by-step explanation:
Angle x and 26° together make a right angle, so ...
x = 90° -26° = 64°
Angles x and y together make a right angle, so ...
y = 90° -(90° -26°) = 26°
The global surface water area is 361, 132,000 square metres. Calculate the volume of water needed to cause a 3mm in sea level.
Answer:
The volume of water is 396 cubic meter.
Step-by-step explanation:
Area of water, A = 132000 square meter
Height, h = 3 mm = 0.003 m
The volume of water is given by
V = Area x height
V = 132000 x 0.003
V = 396 cubic meter.
p=2,-3 and Q= -1,4. Evaluate 3q-2p
Answer:
When p=2 , q=-1
3q-2p
3(-1) - 2(2)
(3)-4
-1
When p=-3 , q=4
3(4)-2(-3)
(12 )-(-6)
=18
Write down all the Subsets of {20,40}
Answer:
{20}, {40}, {20,40}, { }
5. A Ferris wheel at an amusement park measures 16m in diameter. It makes 3 rotations
every minute. The bottom of the Ferris wheel is 1m above the ground. Riders board the
Ferris wheel at the minimum point.
a) Determine the equation that models Emily's height (m) with respect to time (in seconds)
above ground. [3A]
b) A 12m tree stands near the Ferris wheel. For how long (in seconds) is Emily higher than
the tree during the first rotation? Round to 2 decimal places. [4A]
Following are the responses to the given points:
For point a:
[tex]Diameter\ (d)= 16\ m\\\\[/tex]
Calculating the 3 rotations for every minute:
Calculating time for completing 1 rotation:
[tex]1\ rotation=\frac{60}{3}= 20\ second\\\\period=20 \ second\\\\[/tex]
The standard form of the equation of the sine and cosine function is:
[tex]y=A \sin \{ B(x-c)\} +D\\\\y=A \cos \{ B(x-c)\} +D\\\\[/tex]
Calculating the Amplitue:
[tex]A=\frac{max-min}{2}=\frac{17-1}{2}=\frac{16}{2}=8\\\\Period=\frac{2\pi}{B}\\\\20=\frac{2\pi}{B}\\\\B=\frac{2\pi}{20}\\\\B=\frac{\pi}{10}\\\\[/tex]
Calculating the phase shift:
for [tex]\sin[/tex] function: [tex]c=5[/tex]
for [tex]\cos[/tex] function: [tex]c=10[/tex]
Calculating the vertical shift:
[tex]\to D=\frac{max+ min }{2}=\frac{17+ 1}{2}=\frac{18}{2}=9\\\\y=8 \sin \{ \frac{\pi}{10}(t-5)\} +9\\\\y=8 \cos \{ \frac{\pi}{10}(t-10)\} +9\\\\[/tex]
For point b:
[tex]y> 12\ m\\\\12=8 \sin \{ \frac{\pi}{10}(t-5)\} +9\\\\12-9=8 \sin \{ \frac{\pi}{10}(t-5)\} \\\\3=8 \sin \{ \frac{\pi}{10}(t-5)\} \\\\\frac{3}{8}=\sin \{ \frac{\pi}{10}(t-5)\} \\\\\sin^{-1}\frac{3}{8}=\frac{\pi}{10}(t-5) \\\\\frac{\pi}{10} (0.38439677)=(t-5) \\\\1.22357+5=t \\\\t=6.22357\ second\\\\t=6.22\ second\\\\\sin^{-1}\frac{3}{8}=\frac{\pi}{10}(t-5) \\\\\frac{\pi}{10} (2.7571961)=(t-5) \\\\t=8.7764+5\\\\t=13.78\ second\\\\t_2-t_1=13.7764-6.22357= 7.55283\approx 7.55\ second \\\\[/tex]
Learn more:
Rotation: brainly.in/question/39626227
PLEEASE HELP ME IM RUNNING LATE
If mC = 49 , find the values of x and y.
Answer:
m∠y=41
m∠x=90
Step-by-step explanation:
It is an isosceles triangle, so m∠B=49 too
49+49=98
180-98=82
82÷2=41
m∠y=41
41+49=90
180-90=90
m∠x=90
Find X?
please help?
Look at one side of the triangle. It forms a right triangle with 45 degree angles.
A 45 degree triangle the base and height are the same, so the height would also be 26.
The hypotenuse(x) of a 45 degree right triangle is the side length time the sqrt(2)
The answer is: 26 sqrt(2)
Which ratio expresses the scale used to create this drawing?
1 square=10 yards
Answer:
option B
Step-by-step explanation:
option B
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Someone help me pls !!!!!
Answer:
1)a
the problem asks"what PERCENT of 5 is 4?"
2)part
it gives both the percent and the whole, so your left with the part
3)Whole
4 is a part which is 80%
Step-by-step explanation:
A television stand at Wiles' Discount Mart is $187, and the sales tax is 6%. What is the amount of tax to be paid for the TV?
Answer:
$11.22
Step-by-step explanation:
100% = 187
1% = 187/100 = $1.87
6% = 1%×6 = 1.87×6 = $11.22
Answer:
In this case, you need to calculate the 6% of the price, which is 187 $.
We only need to multiply the price (187) by the percentage (6%):
187 * 0.06 = 11.22
So the tax would be $11.22
PLEASE i need the answers!!!!!!!!!
I have no time please if you know the answer please tell MEEE!!!!!!!!!!!
Answer:
5x^2(2-3x)
(n+4)(x+y)
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST
Using the table above, if the reserve requirement is 10%, then the additional amount the bank could loan out is
$40,000
$60,000
$300,000
$340,000
$1,800,000
A new restaurant sells cheeseburgers for 6$, french fries for 3$, and salads for 8$ On opening night, the restaurant sold items and made 1070$. They sold 4 times as many fries as salads. How many cheeseburgers were sold?
Answer:
25 cheeseburger
Step-by-step explanation:
I checked and get that 4 times fries as many as salad means that fries = 4 times Salad.
Brainliest please~
25 cheeseburgers were sold.
What is algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
Let cheeseburger be x
Price of x = 6
Let French Fries be y
Price of y = 3
Let salads be z
Price of z=8
x+ y+ z =220
6x + 3y + 8z = 1070
4 y = z 4 times as many as
= 4 times - Fries is more than Salad
Substitute 3 in 1
x + 4 z + z =220
x+5z =220
Substitute 3 in 2
6x + 12z +8z = 1070
6x + 20z = 1070
3x + 10z - 535
From 4: x=220-5z
Substitute into 3 (220-5z) +10z = 535
660 - 15z+10z=535
- 5z = - 125
z = 25
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A person can see the top of a building at an angle of 65°. The person is standing 50 ft away from
the building and has an eye level of 5 ft. How tall is the building to the nearest tenth of a foot?
O 107.2 ft
O 112.2 ft
O 50.3 ft
O 26.1 ft
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Answer:
(b) 112.2 ft
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
For the given geometry, this becomes ...
tan(65°) = (height above eye level)/(50 ft)
Then we have ...
(height above eye level) = (50 ft)tan(65°) = 107.2 ft
Adding the height of eye level will give us the height of the building.
building height = (eye level height) + (height above eye level)
building height = (5 ft) + (107.2 ft)
building height = 112.2 ft
what value of n make an equation??
Answer:
[tex]\frac{4}{27}[/tex]
Step-by-step explanation:
simplify the terms on both sides;
12*18*n=32
n*216=32
n=32/216
simplified --> 4/27
you can check by plugging it back into the equation;
12*n*3*6=4*8
12*(4/27)*3*6=32
216*(4/27)=32
32=32
A. Two numbers are in the ratio 5:7. When 3 is added to each number, the new ratio becomes 3 : 4. Find the numbers.
Answer:
answer is 3 and ratio of two different numbers
Simplify 12w + 2 (w + 3)
Answer:
= 14w + 6
Step-by-step explanation:
= 12w + 2w + 6
Add similar elements: 12w + 2w = 14w
= 14w + 6
help with plz thank you
Your answer is in the attachment..
Hope the answer helps you..
.
.
Select it as the BRAINLIEST..
Answer:
38. skipping by 3s
14, 17, 20, 23, 26, 29, 32, 35, 38
Assume that thermometer readings are normally distributed with a mean of 0 degrees C and a standard deviation of 1.00 degrees C. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in celsius degrees)
Between -1.42 and 1.61
The probability of getting a reading between -1.42 degrees C and 1.61 degreesC is_______ ( round to four decimal places as needed)
Answer:
The probability of getting a reading between -1.42 degree C and 1.61 degree C is 0.8685.
Step-by-step explanation:
We are given that
[tex]Mean,\mu=0[/tex] degree C
Standard deviation, [tex]\sigma=1[/tex] degree C
We have to find the probability of the reading between -1.42 and 1.61.
[tex]P(-1.42<x<1.61)=P(\frac{-1.42-0}{1}<\frac{x-\mu}{\sigma}<\frac{1.61-0}{1})[/tex]
[tex]P(-1.42<x<1.61)=P(-1.42<Z<1.61)[/tex]
[tex]P(-1.42<x<1.61)=P(Z<1.61)-P(Z<-1.42)[/tex]
Using the formula
[tex]P(a<z<b)=P(z<b)-P(z<a)[/tex]
[tex]P(-1.42<x<1.61)=0.94630-0.07780[/tex]
[tex]P(-1.42<x<1.61)=0.8685[/tex]
Hence, the probability of getting a reading between -1.42 degree C and 1.61 degree C is 0.8685.
The birth rate of a population is b(t) = 2000e0.023t people per year and the death rate is d(t)= 1410e0.017t people per year, find the area between these curves for 0 ≤ t ≤ 10. (Round your answer to the nearest integer.) people
Answer: 7118
Step-by-step explanation:
Given
Birth rate is [tex]b(t)=2000e^{0.023t}[/tex]
Death rate is [tex]d(t)=1410e^{0.017t}[/tex]
Area between them is given by
[tex]\Rightarrow A=\int _0^{10}2000e^{0.023t}-1410e^{0.017t}dt\\\Rightarrow A=\int _0^{10}2000e^{0.023t}dt-\int _0^{10}1410e^{0.017t}dt\\\Rightarrow A=22486.95652 -15368.99999\\\Rightarrow A=7117.95652[/tex]
Thus, the area between the curves is [tex]7117.95652\approx 7118[/tex]
There are two independent file servers in a web site. Either file server works with a probability of 0.6. And this web site is up if either file server is working. The probability that the web site is up is _____.
Answer:
The probability that the web site is up is 0.84 = 84%.
Step-by-step explanation:
For each web server, there are only two possible outcomes. Either it is working, or it is not. The probability of a web server being working is independent of any other web server, which meas that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Either file server works with a probability of 0.6.
This means that [tex]p = 0.6[/tex]
Two servers.
This means that [tex]n = 2[/tex]
The probability that the web site is up is
At least one server working, which is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{2,0}.(0.6)^{0}.(0.4)^{2} = 0.16[/tex]
Then
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.16 = 0.84[/tex]
The probability that the web site is up is 0.84 = 84%.
4, 1 and 0, -4 on a graph
Answer:
Hope this will help.
I need help with this
Answer:
C
The lines will intersect once because this systems has one solution
Step-by-step explanation:
Start by putting everything into slope intercept form (AKA y=mx+b
2x-4y=3
2x-3=4y
y= .5x-.75
And the other one
7y-5x=8
-5x-8= -7y
y=(5x+8)/7
Because their slopes are different there's an intersection
Because their y intercepts are different there's only 1 solution
Halp me please. This questions is killing me. I need the answer. Solve $3a + 4b = a - 8b + 24$ for $a$ in terms of $b$.
Answer:
a=12-6b
Step-by-step explanation:
move b and a to their respective sides, getting a = -6b+12
tada :)
As per linear equation, the value of 'a' in terms of 'b' will be
a = 12 - 6b.
What is a linear equation?A linear equation is an equation that has one or multiple variables with the highest power of the variable is 1.
Given, (3a + 4b) = (a - 8b + 24)
⇒ 3a - a = - 8b + 24 - 4b
⇒ 2a = - 12b + 24
⇒ a = (- 12b + 24)/2
⇒ a = - 6b + 12
⇒ a = 12 - 6b
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Help with question number one please
Answer:
165 hits
Step-by-step explanation:
27.5% of 600 is 600 x 27.5 / 100 = 165
What’s the answer to the question down below
Any linear equation can be written as
y = mx+b
where m is the slope and b is the y intercept
m = 1/2 in this case. It represents the idea that the snow fell at a rate of 1/2 inch per hour. In other words, the snow level went up 1/2 an inch each time an hour passed by.
b = 8 is the y intercept. It's the starting amount of snow. We start off with 8 inches of snow already.
The info "snow fell for 9 hours" doesn't appear to be relevant here.
Select all the correct answers.
Charles is reading about computers. He learns that a computer processor can perform one command in approximately 0.000000016
nanoseconds. What is this number expressed in scientific notation?
s
1.6E-8
1.6 x 10-7
1.6 x 10-8
1.6E-7
1.6 x 108
1.6E8
1.6 x 107
1.6E7
Next
Reset
82°F
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Answer:
1.6×10^-81.6E-8Step-by-step explanation:
The place value of a digit to the right of the decimal point is 10 to the negative power of the digit count. The 1st digit right of the decimal point has a place value of 10^-1.
Here, the most significant digit of 0.000000016 is in the 8th place to the right of the decimal point, so its place value is 10^-8.
0.000000016 = 1.6×10^-8
Another way to write the same number is 1.6E-8. (The "E" is a stand-in for ×10^.)
_____
Your (graphing or scientific) calculator or a spreadsheet can display this in scientific notation for you.
__
That many nanoseconds, as this problem states, would be 1.6×10^-17 seconds. "Nano" is an SI prefix meaning 10^-9.
