Answer:
(A) the selling price is $20 per yards, and the expected yards to be sold is 10,000 yards
the derivative f'(20) is negative, which means the fabric producing company will sell 350 fewer yards when selling price is $20 per yard
(B) = R'(20) = $3000
∴the company will get extra $3000 revenue when selling price is $20 per yard
Step-by-step explanation:
A. given that
f(20)= 10,000
f'(20)= -350(first derivative)
the selling price is $20 per yards, and the expected yards to be sold is 10,000 yards
the derivative f'(20) is negative, which means the higher the price, it wil reduce the number of yards to be sold making it 350 fewer yards
(B) R(p) = p f(p)
f(20)= 10,000
f'(20)= -350(first derivative)
R(p) = p f(p)
differentiate with respect to p, using product rule
R'(p) = p f' (p) + f(p) (first derivative)
where p = 20
R'(20) = 20 f' (20) + f(20)
R'(20) = 20(-350) + 10,000
R'(20) = -7000 + 10,000
R'(20) = $3000
∴ the revenue is increasing by $3000 for every selling sold yard and increase in price per yard
help me pls pls pls
Answer:
i think it is E
Step-by-step explanation:
The point (5, -2) is rotated 90° about the origin. Its image is:
A certain mixture of paint contains 5 parts white paint for every 4 parts blue paint. If a can of paint contains 75 ounces of white paint, how many ounces of blue paint are in the can?
Answer:
60 ounces
Step-by-step explanation:
A certain mixture of paint contains 5 parts white paint for every 4 parts blue paint, that is, the white paint (w) to blue paint (b) ratio is 5:4. We can apply this ratio to different units such as ounces. This means that the mixture has 5 ounces of white paint to 4 ounces of blue paint. If a can of paint contains 75 ounces of white paint, the ounces of blue paint in the can are:
75 oz w × (4 oz b/5 oz w) = 60 oz b
PLEASE HELP!!!!! QUICK!! THANKS
Answer:
D. [tex] y = \frac{8}{x} [/tex]
Step-by-step explanation:
The inverse variation between two variables usually takes the following equation form:
[tex] y = \frac{k}{x} [/tex]
In the equation form given above,
[tex] k [/tex] could be value of any real number
x is the explanatory variable (independet variable), while y is the response variable (dependent variable)
Therefore, [tex] y = \frac{8}{x} [/tex] , is an example of an equation that shows inverse variation between the x and y variables.
The right option is D. [tex] y = \frac{8}{x} [/tex]
The loudness of s pile driver is 112dB . About how many times the sound intensity of a pile driver? round to the nearest ten
Answer:
[tex] db = 10 log_{10} (\frac{I}{I_o})[/tex]
With db =112 db, [tex]I_o =10^{-12} W/m^2[/tex] and solving for I the intensity we have:
[tex] \frac{db}{10}= log_{10} (\frac{I}{I_o})[/tex]
[tex] \frac{112}{10}= log_{10} (\frac{I}{10^{-12}})[/tex]
Now we can exponentiate with base 10 and we got:
[tex] 10^{11.2} = \frac{I}{10^{-12}}[/tex]
And solving we got:
[tex] I= 10^{-12} * 10^{11.2} = 0.158 \frac{W}{m^2} = 0.16 \frac{W}{m^2}[/tex]
Step-by-step explanation:
We knwo that the loudnes os 112 db and we want to find the intensity. So then we can use the following formula:
[tex] db = 10 log_{10} (\frac{I}{I_o})[/tex]
With db =112 db, [tex]I_o =10^{-12} W/m^2[/tex] and solving for I the intensity we have:
[tex] \frac{db}{10}= log_{10} (\frac{I}{I_o})[/tex]
[tex] \frac{112}{10}= log_{10} (\frac{I}{10^{-12}})[/tex]
Now we can exponentiate with base 10 and we got:
[tex] 10^{11.2} = \frac{I}{10^{-12}}[/tex]
And solving we got:
[tex] I= 10^{-12} * 10^{11.2} = 0.158 \frac{W}{m^2} = 0.16 \frac{W}{m^2}[/tex]
Answer: 40 ( to the nearest ten)
Step-by-step explanation:
Complete question :
The loudness of a jack hammer is 96 dB . Its sound intensity is about 0.004.
The loudness of a compactor is 94 dB . Its sound intensity is about 0.0025.
The sound intensity of the jack hammer is about 1.6 times the sound intensity of the compactor.
The loudness of a pile driver is 112 dB . About how many times the sound intensity of the jackhammer is the sound intensity of a pile driver? Round to the nearest ten.
Given that:
Sound intensity of jackhammer = 0.004
Sound intensity of compactor = 0.0025
Sound intensity of jackhammer is about 1.6 times the sound intensity of a compactor
Each factor of 10 in intensity corresponds to 10dB
Pile driver with loudness of 112dB ⇒ [tex]\frac{112}{10}=11.2[/tex]
Hence, 10^11.2 = 1.58489 × 10^11
Hence, sound intensity (I) in watts per m²
I = 1.58489 × 10^11 × 10^-12
I = 1.58489 × 10-1
I = 0.158489
Comparing the intensity of pile driver and jackhammer :
Intensity of piledriver / Intensity of jackhammer
[tex]\frac{0.158489}{0.004}[/tex]
= 39.622 ≅ 40 ( to the nearest ten )
25 points will mark brainlest as part of the save nature campaign the city Forest department has decided to grow more trees to kick off the campaign they start by planting 2 pine trees it has been decided that every year they will increase the amount of trees but 1 tree less than the square of the previous year's count which of the following recursives formulas can be used to determine the total number of tree planted in the future assume there is in limited space for trees and n is the number of years of the program's operation
Answer:
N(n+1) = N(n)^2 - 1, n>=0, N(0) = 2
or equivalently
N(n) = N(n-1)^2 - 1, n>0, N(0) = 2
Step-by-step explanation:
Year 0 = 2 trees
year 1 = 2^2-1 = 3
year 2 = 3^2-1 =8
year 2 = 8^2-1 =63
...
Recursive formula
Let
n = integer year number
N(n) = number of trees to plant in year n
N(n+1) = N(n)^2-1, n>=0, N(0) = 2
or equivalently
N(n) = N(n-1)^2, n>0, N(0) = 2
Whats the options???
An angle measures 125.6° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
The measure of each angle:
152.8° and 27.2°
Step-by-step explanation:
Supplementary angles sum 180°
then:
a + b = 180°
a - b = 125.6°
then:
a = 180 - b
a = 125.6 + b
180 - b = 125.6 + b
180 - 125.6 = b + b
54.4 = 2b
b = 54.4/2
b = 27.2°
a = 180 - b
a = 180 - 27.2
a = 152.8°
Check:
152.8 + 27.2 = 180°
Answers:
152.8° & 27.2°Step-by-step explanation:
Let x and y be the measures of each angle.
x + y = 180°
x - y = 125.6°
180 - 125.6 = 54.4
Now we divide 54.4 evenly to get y.
y = 27.2°
To get x, we substitute y into the equation.
x = 27.2 + 125.6
x = 152.8°
To check, we plug these in to see if they equal 180°.
27.2 + 152.8 = 180° ✅
I'm always happy to help :)Please help. I’ll mark you as brainliest if correct!
Answer:
CDs: $30,000bonds: $90,000stocks: $50,000Step-by-step explanation:
You can let c, b, s represent the investments in CDs, bonds, and stocks, respectively.
c + b + s = 170000 . . . . . . total invested
0.0325c +0.038b +0.067s = 7745 . . . . . . . annual income
-c + b = 60000
You can solve this set of equations using any of a number of methods, including on-line calculators, graphing calculators, scientific calculators, Cramer's Rule, substitution, elimination, and more. The solution is ...
c = 30,000
b = 90,000
s = 50,000
Maricopa's Success invested $30,000 in CDs, $90,000 in bonds, and $50,000 in stocks.
The parabola y= x2 - 4 opens:
O up
O down
O right
O left
Answer:
it opens up
goes up 4 but doesn't move left or right
Does the ordered pair (1,1) satisfy the following system of inequalities? {x−8y≤9−7x+5y<4
Answer:
YESStep-by-step explanation:
Substitute x = 1 and y = 1 to the both inequalities:
[tex]x-8y\leq9\\\\1-8(1)\leq9\\1-8\leq9\\-7\leq9\qquad\bold{TRUE}\\==================\\-7x+5y<4\\\\-7(1)+5(1)<4\\-7+5<4\\-2<4\qquad\bold{TRUE}[/tex]
Answer:
(1,1) does satisfy
x - 8y ≤ 9
- 7x + 5y < 4
Step-by-step explanation:
Well, first we need to plug in (1,1) into,
x - 8y ≤ 9
- 7x + 5y < 4
→ 1 - 8(1) ≤ 9
- 7(1) + 5(1) < 4
1 - 8 ≤ 9
-7 + 5 < 4
-7 ≤ 9
-2 < 4
Thus,
(1,1) does satisfy
x - 8y ≤ 9
- 7x + 5y < 4.
Hope this helps :)
You need to find the distance across a river, so you make a triangle. BC is 943 feet, m∠B=102.9° and m∠C=18.6° . Find AB.
Answer:
352.8 ft
Step-by-step explanation:
m∠A = 180° − 102.9° − 18.6° = 58.5°
AB = c and BC = a.
Use law of sines:
c / sin C = a / sin A
c / sin 18.6° = 943 / sin 58.5°
c = 352.8
H0:p=0.45 ; Ha:p>0.45
The p-value for this hypothesis test is 0.025.
The level of significance is α=0.05
Select the correct answer below:
a. There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.
b. There is NOT sufficient evidence to conclude that the proportion of agenda-less meetings isgreater than 45%.
c. There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 55%.
d. There is NOT sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 55%.
Answer:
Option A is correct
Step-by-step explanation:
From the question we are told that
The Null Hypothesis is [tex]H_o : p = 0.45[/tex]
The alternative hypothesis [tex]H_a : p > 0.45[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The p-value is [tex]p-value = 0.025[/tex]
Now looking at the given data we see that the the p-value is less than [tex]\alpha[/tex]
Generally when this occurs in a hypothesis test we reject the null hypothesis which mean that the result which we obtain is statistically significant.
Hence the alternative hypothesis is correct, which means that,
There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%. which is option A
someone could help me?
Answer:
[tex]B= 3.14 * 4^4 = 50.24cm^2\\h = 16cm\\V=B*h=50.24*16=803.84cm^3[/tex]
Step-by-step explanation:
The area of the base is the area of a circle with a radius equal to 4 cm. It means that the area can be calculated as:
[tex]B = 3.14 * r^2\\B= 3.14 * 4^4 = 50.24cm^2[/tex]
The height of the cylinder is shown in the picture, it is equal to 16 cm.
Finally, the volume of the cylinder can be calculated as:
[tex]V = B*h=50.24*16 = 803.84cm^3[/tex]
Where B is the base and h is the height of the cylinder.
Question 14 (5 points)
Which of the following gives the correct intercept points and vertex point for the function f(x) = x2 + 3x - 18?
A. y-intercept: (0,18); vertex point: ( – ; – 20_); xintercepts: (-3, 0) and (6,
0)
B. y-intercept: (0, -18); vertex point: (-1, – 19); x-intercepts: (-3, 0) and (-6,
0)
C. y-intercept: (0, -18); vertex point: ( - 2/3, - 20 1/4); x-intercepts: (3, 0) and (-
6,0)
D. y-intercept: (0, 18); vertex point: (-1, – 19); x-intercepts: (3,0) and (6, 0)
Answer:
C. y-intercept: (0, -18); vertex point: ( [tex]-\frac{2}{3}[/tex], [tex]-20\frac{1}{4}[/tex]); x-intercepts: (3, 0) and (-
6,0)
Step-by-step explanation:
Hope it helped
Answer:
C. y-intercept: (0, -18); vertex point: ( - 2/3, - 20 1/4); x-intercepts: (3, 0) and (-
6,0)
Step-by-step explanation:
It's a positive parabola, so that means it opens upward. Crossing the x-axis at -6 and 3 it's minimum is -20 and crosses the Y-axis at -18.
Simplify the expression:
2b – 5b + 7 + 3b
Answer:
7
Step-by-step explanation:
2b - 5b is -3b so it leaves the equation with -3b + 7 + 3b
-3b + 3b cancells out to 0 so it leaves the final answer to 7
plsd its urgent i am begging u i will give u anything plsss brainliest and 50 pounts i am so sad and depressed currently and school work is not helping so if u can help i will appreciate it
Answer: 245 cu. cm.
Step-by-step explanation:
4/7-2/5=20/35-14/35=6/35
42 cm3 represents 6/35 of the total volume
how many 6/35's are in 35/35 ? (the total volume)
(35/35)/(6/35)=(35/35)*(35/6)=35/6=5 5/6
(5 5/6)*(42)=(35/6)*(42)=35*7=245 cm3 is the total volume
CAN ANYONE HELP ME THANKS FOR BRAINLIEST ANSWER PLEASE What one is the standard form of the equation y = – 1/4 x – 2? A. x + 4y = 8 B. x + 4y = – 2 C. x + 4y = – 8 D. –x + 4y = – 8
Answer:
The standard form of the equation of y = -1/4x - 2 is x + 4y = -8 which is C
The time it takes to travel from home to the office is normally distributed with μ = 25 minutes and σ = 5 minutes. What is the probability the trip takes more than 40 minutes?
Answer:
The probability is [tex]P(X > x) = 0.0013499[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 25[/tex]
The standard deviation is [tex]\sigma = 5 \ minutes[/tex]
The random number [tex]x = 40[/tex]
Given that the time taken is normally distributed the probability is mathematically represented as
[tex]P(X > x) = P[\frac{X -\mu}{\sigma } > \frac{x -\mu}{\sigma } ][/tex]
Generally the z-score for the normally distributed data set is mathematically represented as
[tex]z = \frac{X - \mu}{\sigma }[/tex]
So
[tex]P(X > x) = P[Z > \frac{40 -25}{5 } ][/tex]
[tex]P(X > x) = 0.0013499[/tex]
This value is obtained from the z-table
A cylindrical can is to be made to hold 50 cm3 of oil. Determine the dimensions of the can that will minimize its surface area. What is the minimum surface area
Answer:
S(min) = 59,66 cm²
Step-by-step explanation:
The volume of a cylindrical can is:
V(c) = π*x²*h where x is radius of the base and h the height
V(c) = 50 cm³
50 = π*x²*h (1)
The surface area of the can (Sc) is Surface area of the base (Sb) plus surface lateral area (Sl)
S(b) = π*x²
And S(l) = 2*π*x*h
Then
S(c) = π*x² + 2*π*x*h
And surface area as a function of x is
From equation (1)
h = 50 /π*x² and plugging this value in the previous expression
S(x) = π*x² + 2*π*x*(50/π*x²)
S(x) = π*x² + 100/x
Taking derivatives on both sides of the equation
S´(x) = 2*π*x - 100/x²
S´(x) = 0 means 2*π*x - 100/x² = 0
π*x - 50/x² = 0
π*x³ - 50 = 0
π*x³ = 50
x³ = 50 / 3,14
x³ = 15,92
x = 2,51 cm
And h = 50 / π* (2,51)²
h = 2,53 cm
Then minimum surface area of the can is:
S(min) = 19,78 + 39,88
S(min) = 59,66 cm²
In a cinema, there are eight seats in a row. Four of the seats in one row are occupied. What fraction of seats are available in that row?
Answer:
[tex] \frac{1}{2} [/tex]Step-by-step explanation:
Given,
There are 8 seats in a row.
There are 8 seats in a row.4 seats are occupied.
Available seats = 8 - 4 = 4 seats
Fraction of seats available:
[tex] \frac{number \: of \: seats \: available}{total \: number \: of \: seats} [/tex]
[tex] = \frac{4}{8} [/tex]
Reduce the fraction with GCF 4
[tex] = \frac{1}{2} [/tex]
Hope this helps..
Best regards!!
Answer:
Your correct answer is that there are 4 seats available. The fraction version is 1/2
Step-by-step explanation:
Since there are 8 in a row and 4 are taken, subtract 8 by 4.
8 - 4 = 4 seats that are available.
Triangle ABC is congruent with triangle CDA Find the value of the pronumeral x.
Answer:
x = 25
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent.
That is ∠ D and ∠ B are corresponding angles and congruent, thus
4x - 20 = 2x + 30 ( subtract 2x from both sides )
2x - 20 = 30 ( add 20 to both sides )
2x = 50 ( divide both sides by 2 )
x = 25
Find the valuds to complete the table
Answer:
Where is the table
Step-by-step explanation:
I cant answer without it
explain square roots
Answer:A square root of a number is a value that, when multiplied by itself, gives the number. Example: 4 × 4 = 16, so a square root of 16 is 4. Note that (−4) × (−4) = 16 too, so −4 is also a square root of 16. The symbol is √ which always means the positive square root. Example: √36 = 6 (because 6 x 6 = 36)
A school has 39 vacancies for teachers.out of which 22 are for English language,21 are for mathematics and 17 are for fine arts.of these vacancies 11 are for both English language and mathematics,8 for mathematics and fine arts and 7 for both English and fine arts.calculate the number of teachers who must be able to teach all subjects and fine arts only
Answer:
12
Step-by-step explanation:
let
x= no. for English
y= no. for maths
z= no. for fine arts
a= no. for all subjects
x= 22
y= 21
z= 17
x+y+z= 39
x intersect y= 11
y intersect z= 8
x intersect z= 7
(4+a)+ (11-a)+ (7-a)+ (8-a)+ (2+a)+ (2+a)+ a= 39
34+a =39
a= 5
no.of teachers who teaches all & fine art only
= a + (2+a)
= 5+7
= 12
Which of the following is represented by MN ?
A.
Radius of the circle
B.
Diameter of the circle
C.
A chord of the circle
D.
Circumference of the circle
Answer:
A
Step-by-step explanation:
That is the radius. Since its half of the diameter.
Answer:
A. Radius of the circle
Step-by-step explanation:
A line segment that has as endpoints the center of a circle and a point on the circle is called a radius.
Answer: A. Radius of the circle
What number is in between 10 and 16?
Answer:
13
Step-by-step explanation:
10 + 16 = 26
26 divided by 2 = 13
The middle number is 13
Jim deposited $350 into a savings account with simple interest at Hunting Bank. He left the money in his account with no changes for 4 years. At the end of 4 years, his bank statement showed he had earned $32.50 in interest. What is Jim’s interest rate for his savings account? Round to the nearest tenth of a percent. S
Answer:
2.321428571%
Step-by-step explanation:
Given in the question,
P=$350
T=4years
I=$32.50
We know that
I=PTR/100
32.50=350*4*R/100
R=32.50*100/350*4
R=2.321428571%
So, the rate of interest is 2.321428571%
the petit chef co has 11.7 percent coupon bonds on the market with elven years left to maturtiy. The bonds make annuly payments and have a par value of 1000. If the bonds curtently sell for 1153.60 what is tje ytm
Answer:
9.40%
Step-by-step explanation:
Given:
Annual coupon rate = 11%
Time left to maturity = 11 years
Par value of bond = 1000
Present value of bond = 1153.60
Required: Find Yeild to Maturity (YTM)
To find the yield to maturity, use the formula below:
YTM = [Annual coupon+(Face value-Present value)/time to maturity]/(Face value+Present value)/2
where annual coupon = 1000 * 11% = 110
Thus,
[tex]YTM = \frac{\frac{110+(1000-1139.59}{9}}{\frac{(1000+1139.59)}{2}}[/tex]
YTM = 9.40%
Therefore the approximate YTM is 9.40%
In a clinical trial, out of patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that % of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than % of this drug's users experience flulike symptoms as a side effect at the level of significance?
Answer:
Step-by-step explanation:
Hello!
Out of 846 patients taking a prescription drug daily, 18 complained of flulike symptoms.
It is known that the population proportion of patients that take the drug of the competition and complain of flulike is 1.8%
Be the variable of interest:
X: number of patients that complained of flulike symptoms after taking the prescription drug, out of 846.
sample proportion p'= 18/846= 0.02
You have to test if the population proportion of patients that experienced flulike symptoms as a side effect is greater than 1.8% (p>0.018)
Assuming that the patients for the clinical trial were randomly selected.
The expected value for this sample is np=846*0.02= 1658 (the expected value of successes is greater than 10) and the sample is less than 10% of the population, you can apply the test for the proportion:
The hypotheses are:
H₀: p ≤ 0.018
H₁: p > 0.018
α: 0.01
[tex]Z= \frac{p'-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]≈N(0;1)
[tex]Z_{H_0}= \frac{0.02-0.018}{\sqrt{\frac{0.018*0.982}{846} } }= 0.437[/tex]
The p-value for this test is 0.331056
The decision rule is
If p-value ≤ α, reject the null hypothesis
If p-value > α, do not reject the null hypothesis
The p-value is greater than α, the decision is to reject the null hypothesis.
So at 1% significance level there is no significant evidence to reject the null hypothesis, you can conclude that the population proportion of patients that took the prescription drug daily and experienced flulike symptoms as a side effect is less or equal to 1.8%
I hope this helps!
Please answer this correctly without making mistakes
What is the correct answer
How far apart are the locksmith and the hotel?
The correct answer is 45.5 km
Explanation:
The total distance from the locksmith to the hotel, located in the east of the graph is not directly given; however, this distance can be calculated by considering the partial distances given. This includes the distance from the locksmith to the furniture store (18.3 km), and the distance between the furniture and the hotel (27.2) as the total distance = distance from the locksmith to the furniture store + distance from the furniture store to the hotel. Thus, the total distance is 18.3 km + 27.2 km which is equal to 45.5 km.