Answer:
The answer is below
Step-by-step explanation:
Let x represent the profit made from sales and c(x) the commission based on sells. If the profit is less then $1000,they 21%, hence:
if x < 1000, c(x) = 0.21x
If the profit is less between $1000 and $1200,they 22.5%, hence:
if 1000 < x < 1200, c(x) = 0.225x
If the profit is greater than $1200,they 23.5%, hence:
if x > 1200, c(x) = 0.235x
Therefore the commission represented as a piecewise function is:
[tex]c(x)=\left \{ {{0.21x\ \ x<1000} \atop {0.225x\ \ 1200<x<1000}} \atop {0.235x\ \ x>1200} \right.[/tex]
Consider a 176lb male farmer is in 104 degree heat. On this day, the humidity is low enough such that all the sweat evaporates from the farmer's skin, enabling him to maintain a body temperature of 100 degrees. The farmer sweats 1 liter of water per hour and 60% of the latent heat needed to Evan=pirate this sweat is provided by farmer's body. If the farmer suddenly dehydrates and stops sweating, how long will it take for his body temperature to rise to the near-fatal 104 degrees.
Answer:
t = 33 seconds
It is the amount of time when the temperature of the body will rise from 100 to fatal 104 in the absence of sweat.
Step-by-step explanation:
weight of the farmer = 176 lb
Sweating = 1 litre per hour
60% of above sweating is evaporated by the latent heat from farmers body.
Temperature outside = 104
Temperature of the Farmer = 100
Time to rise the temperature 4 degrees = ?
We need to use the specific heat formula to calculate the time to rise the temperature of the body of farmer.
Before, that let's convert weight of the farmer in Kg
W = 176 lb
1 lb = 0.453592 kg
176 lb = 79.8 kg
w = mg
g = 10
mass = m = 79.8/10
mass = 7.98 kg
Q = mc∆T
c = specific heat of water = 4,186
∆T = Temperature Change = 104-100
∆T = 4
Q = 7.98 x 4186 x 4
Q = 133617
t = Q/P
Power of Sun's Heat = 3.846×1026
t = 33 seconds
It is the amount of time when the temperature of the body will rise from 100 to fatal 104 in the absence of sweat.
Starter
Question 1: Simplify each of the following
(a) y + y + y + y
(b) w+W+W+W + W
(c) a + a + a + a + a + a
(d) 5+$+
(e) nun
Og+ 8 + 8 + g-8
(g) y + y + y + y - y - y
(h) + p-p-p
(1) 3y + 2y
0) 4a + 3a
(k) 9k + 5k
("m+ m
(m) 150 - 200
(n) 6w - 3w
(0) 10y + 3y - 5y
(p) 20 - 140
Answer:
a)y^3
o)7a^2
I know only that
Oliver read for 450450450 minutes this month. His goal is to read for 10\, percent more minutes next month. If Oliver meets his goal, how many minutes will he read in all during the two months
Step-by-step explanation:
450450450=100%
? =110%
110×450450450/100
495495495 mins=2nd month
add
495495495+450450450=
945945945 minutes
There are 945 minutes will he read in all during the two months.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Oliver read for 450 minutes this month.
And, His goal is to read for 10% more minutes next month.
Now,
Since, His goal is to read for 10% more minutes next month.
Hence, The extra minutes for next month = 10% of 450 minutes
= 10/100 × 450
= 45 minutes
Thus, The total minutes to read in all during the two months is,
⇒ 450 + (450 + 45) minutes
⇒ 450 + 495 minutes
⇒ 945 minutes
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For which x is f(x)=-3?
Answer:
This Problem has no answer
Step-by-step explanation:
if you have 1 variable you at least 2 facts that aren't the same to solve for the variable
Answer:
This problem does not have a definite answers
It can have infinite answers
what is tan theta when csc theta =2 sqrt 3?
Not really understanding how this works. If possible can someone explain step by step?
Answer:
[tex]\displaystyle \tan\theta=\frac{\sqrt{11}}{11}[/tex]
Step-by-step explanation:
Trigonometric Identities
If the trigonometric function value of an angle is given, we can find the rest of the trigonometric values of the angle by using one or more of the fundamental identities.
To solve this problem, we need to use the following identities:
[tex]\displaystyle \cot^2\theta=\csc^2\theta-1[/tex]
[tex]\displaystyle \tan\theta=\frac{1}{\cot\theta}[/tex]
Since we are given:
[tex]\displaystyle \csc\theta=2\sqrt{3}[/tex]
And the angle is in the first quadrant, calculate the cotangent:
[tex]\displaystyle \cot^2\theta=(2\sqrt{3})^2-1[/tex]
[tex]\displaystyle \cot^2\theta=4*3-1=11[/tex]
[tex]\displaystyle \cot\theta=\sqrt{11}[/tex]
The tangent is:
[tex]\displaystyle \tan\theta=\frac{1}{\sqrt{11}}[/tex]
Rationalizing the denominator:
[tex]\displaystyle \tan\theta=\frac{1}{\sqrt{11}}*\frac{\sqrt{11}}{\sqrt{11}}[/tex]
[tex]\boxed{\displaystyle \tan\theta=\frac{\sqrt{11}}{11}}[/tex]
Select all the fractions that are equal to 4.9
Answer:
49/10 or 4 and 9 /10ths
Step-by-step explanation:
The answer is at the top
Answer:
I didn't see any choices listed, but 4.9 as a fraction is 49/10
There are 55 apples in each row. There are 5000 rows. How many apples in all?
Answer:
you would take the amount of apples per row and multiply it by the amount of rows, so in this case it would be 55x5000 which is 275000
there's 275000 apples in all
can anyone please help me with this question??!?
Answer:
44°
Step-by-step explanation:
It should be the same old angle J
Tomic and Brooke make a game of shooting free throws. Each basket is worth 2 points. Each miss is worth
they make 16 baskets. What is the correct number of points that Tomic and Brooke scored?
points. Out of 30 free throws,
Select the correct answer.
A 40
B. 50 1 / 2
c. 28
D. 29 1/2
Answer:
Its technically impossible to tell if you don't tell us how many throws each person did.
Step-by-step explanation:
but i would guess 40
Answer:
Same I would guess A) 40 as well
Step-by-step explanation:
Three equations have the same solution. Identify the equation that does not have the same solution as the others, 7.25 -15 10 + z 9+2 11
Answer:
The second equation does not have the same solution, or -15 = -10 + z
Step-by-step explanation:
Every other equation is = to -2, while the one shown above is -5.
I need help quick what does this equal 3 4⁄6 × 7⁄3 × 9⁄2=
Step-by-step explanation:
try that hope this helps out
In 1983, a microwave oven cost $78.75. Today, a microwave oven costs $92.66. If the CPI is 177, what is the relation of the actual price of a microwave oven to the expected price, to the nearest cent?
a. The actual price is $46.73 lower than the expected price.
b. The actual price is $5.59 lower than the expected price.
C. The actual price is $13.91 higher than the expected price.
d. The actual price is $71.35 higher than the expected price.
Answer:
its A on e2020
Step-by-step explanation:
The actual price is $46.73 lower than the expected price.
The actual price is $46.73 lower than the expected price.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Now, The Formula for Consumer Price Index is,
⇒ [tex]CPI = C_{t} / C_{0}[/tex]
Where, CPI = consumer price index in the current period
Ct = expected cost in current period
C₀ =cost in the base period
Now, It is given that;
Price in base period in 1983 is, C₀= $78.75
The actual cost of the microwave oven = $92.66
Consumer Price Index= 177
So, We Can expected price of microwave oven in the current period
Ct = CPI * C₀ /100
= 177 × 78.75/100
= $139.39
Thus, Difference between the actual price and expected price is,
= 139.39 - 92.66
= $46.73
Therefore, The actual price is $46.73 lower than the expected price.
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252 = 42 x 6
Which statement does the equation represent? Answer options with 4 options
A. 42 is 6 more than 252.
B. 252 is 42 more than 6.
C. 42 is 6 times as many as 252.
D. 252 is 42 times as many as 6.
Solve this for me plz (11n - 3m) - n
Answer:
10n-3m
Step-by-step explanation:
Question 18. Suppose we have a piece of cardboard that is 40 cm by 25 cm.
Answer:
a. The length of the box = (40 - 2·x) cm
The height of the box = x cm
The width of the box = (25 - 2·x) cm
b. The formula for the volume of the box as a function of x is 4·x³ - 130·x² + 1000·x
c. The value of x that would maximize the volume of the box is x = 5 cm
d. The largest volume of the box is 2250 cm³
Step-by-step explanation:
a. The given parameters are;
The length of the cardboard = 40 cm
The width of the cardboard = 25 cm
The length of the box = (40 - 2·x) cm
The height of the box = x cm
The width of the box = (25 - 2·x) cm
b. The formula for the volume of the box = The area of the base of the box × Height of the box
The area of the base of the box = (40 - 2·x) × (25 - 2·x) = 1000 - 80·x - 50·x + 4·x²
∴ The area of the base of the box = 4·x² - 130·x + 1000
The height of the box = x
The volume of the box = (4·x² - 130·x + 1000) × x = 4·x³ - 130·x² + 1000·x
The volume of the box in terms of x, V = 4·x³ - 130·x² + 1000·x
c. At the extremum point, dV/dx = 12·x² - 260·x + 1000 = 0
x = (260 ± √((-260)² - 4 × 12 × 1000))/(2 × 12)
x = (260 ± 140)/(24)
x = 5 or x = 16.[tex]\bar 6[/tex]
At x = 5, the volume of the box is V = 4×5³ - 130×5² + 1000×5 = 2250
The volume of the box is V = 2250 cm³
At x = 16.67, the volume is 4×16.67³ - 130×16.67² + 1000×16.67 = -925.[tex]\overline {925}[/tex]cm³
Therefore, the value of x that would maximize the volume of the box is x = 5 cm
d. The largest volume of the box is 4×(5 cm)³ - 130×(5 cm)² + 1000×(5 cm) = 2250 cm³.
The vertices of a polygon are shown below.
P(1, 3). Q2,3), R(-4, 1),S(-4,-3), T(-2, -5), U(1, -5), V(3, -3),w(3, 1)
Which polygon has these vertices?
Hexagon
Plzzz help I will mark brainlest my time is running out!!!!!
Answer:
The Answer is C
Step-by-step explanation:
This applies to your exam.
Answer:
C
Step-by-step explanation:
This is correct on edge 2020.
Help ASAP due in five minutes
Answer:
2.25
Step-by-step explanation:
2/5 is equal to 4/10
(9/10)/(4/10)
(9/10)*(10/4)
90/40
9/4 = 2.25
(Can be checked if you multiply 4 by 2.25)
495 = 165 + 55m
What is m?
Answer: M = 6 can i have brainliest?
Step-by-step explanation:
Answer:
m=6
Step-by-step explanation:
First isolate the m by subtracting 165 from both sides.
495-165=330
165-165=0
330=55m
Since you know 330 is 55m to find m all you need to do is divide by 55 on both sides.
330/55=6
55m/55=m
6=m
Graph the following polynomial and write in factored form X=x^3+6x^2-x-30
Answer:
if your to factor using the rational roots test it would be (x−2)(x^2+8x+15)
but if your factor using the AC method it would be (x−2)(x+3)(x+5)
Can somebody plz help answer this word problem thanks!
(Show steps on how u get the answer)
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDD
Answer:
A
Step-by-step explanation:
I am a little confused with the "all trees $42" answer but if that means she could buy that size for $42 then I believe that is the answer that should be chosen because for question B, 6 per ft. would likely be 48 because 6x8 = 48, and I don't believe half ft would be $3. As for C, 22 plus 24 is 46. (24 would = $6 x 4 additional ft)
Which of the following best shows the commutative property of multiplication?
4 x 3 = 3 x 4
4 x 3 = 4 ÷ 1/3
4 x 3 = 4
4 x 3 = (2 x 2) x 3
Answer:
4x3=3x4
Step-by-step explanation:
Ata recent alumni reunion for a large university, a survey about the annual income was
given to the 2431 alums attending the reunion. Of the 42 alums who responded, the mean income was i
= $132,473. Describe how nonresponse might lead to bias in this study.
Answer:dasfsafasfadfadfadasdas
Step-by-step explanation:
fasfasfasdasfasfad
Can someone help me please
Answer:
the correct graph is b for this problem
Consider the function () = 2 + 3. Find its average rate of change on the interval −1 ≤ ≤ 3.
Answer:
See Explanation
Step-by-step explanation:
The function is not properly given. So, to solve this question I'll assume it is:
f(x) = x² + 3
Required
Calculate the average rate of change on −1 ≤ x ≤ 3.
[The average rate of change (R) is calculated using:]
R = (f(b) - f(a))/(b - a)
[Where]
a ≤ x ≤ b = −1 ≤ x ≤ 3.
[This means that]
a = -1
b = 3
[Solving f(b); We have]
f(x) = x² + 3
[Substitute b for x]
f(b) = b² + 3
[Substitute 3 for b]
f(3) = 3² + 3 = 9 + 3 = 12
[Solving f(a); We have]
f(x) = x² + 3
[Substitute a for x]
f(a) = a² + 3
[Substitute -1 for b]
f(-1) = (-1)² + 3 = 1 + 3 = 4
[So, the equation becomes]
R = (f(b) - f(a))/(b - a)
R = (12 - 4)/(3 - (-1)
R = 8/(3+1)
R = 8/4
R = 2
[Hence, the average rate of change is 2]
What is a simplified expression for (x−y)−(x+y)?
Answer:
-2y
Step-by-step explanation:
Let's simplify step-by-step.
x−y−(x+y)
Distribute the Negative Sign:
=x−y+−1(x+y)
=x+−y+−1x+−1y
=x+−y+−x+−y
Combine Like Terms:
=x+−y+−x+−y
=(x+−x)+(−y+−y)
=−2y
Answer:
-2y
Step-by-step explanation:
............... ..........
Wally must complete 40 hours of community service. He does 3 hours each day. Write a linear equation to represent the hours Wally has left after x days.
Answer: y = 40 - 3x
Step-by-step explanation:
x = # of days
y= number of hours remaining
40 minus 3 times the number of days Wally volunteers would be the formula to find the number of hours he has remaining after a certain number, x, days.
Identify the following series as arithmetic, geometric, both, or neither
[tex]2x + 2 {x}^{2} + 2 {x}^{3} + ... + 2 {x}^{n} [/tex]
Given:
The series is
[tex]2x+2x^2+2x^3+...+2x^n[/tex]
To find:
Whether the given series is arithmetic, geometric, both, or neither.
Solution:
We have,
[tex]2x+2x^2+2x^3+...+2x^n[/tex]
Difference between consecutive terms are:
[tex]d_1=a_2-a_1[/tex]
[tex]d_1=2x^2-2x[/tex]
[tex]d_1=2x(x-1)[/tex]
And,
[tex]d_2=a_3-a_2[/tex]
[tex]d_2=2x^3-2x^2[/tex]
[tex]d_2=2x^2(x-1)[/tex]
Here, [tex]d_1\neq d_2[/tex].
So, the given series is not an arithmetic series.
Ratio between consecutive terms are:
[tex]r_1=\dfrac{a_2}{a_1}[/tex]
[tex]r_1=\dfrac{2x^2}{2x}[/tex]
[tex]r_1=x[/tex]
And,
[tex]r_2=\dfrac{a_3}{a_2}[/tex]
[tex]r_2=\dfrac{2x^3}{2x^2}[/tex]
[tex]r_2=x[/tex]
Similarly upto last pair of consecutive terms.
[tex]r_{n-1}=\dfrac{a_n}{a_{n-1}}[/tex]
[tex]r_{n-1}=\dfrac{2x^n}{2x^{n-1}}[/tex]
[tex]r_{n-1}=x[/tex]
Since, [tex]r_1=r_2=...=r_{n-1}[/tex], so the given series have a common ratio.
Therefore, it is a geometric series.
open this pic and I'll give brainliest answer
Answer:
wait im confused open the picture or answer it?
Step-by-step explanation:
In a school of 450 students, 110 of them are in the choir, 240 of them are in the band and 60 students are in the choir and the band.
please help
Answer:
whats the question?
Step-by-step explanation:
Answer:
Okay so by the looks of it you need to know how many people aren't in anything.
Step-by-step explanation:
110 + 240 = 350
450 - 350 = 100
100 - 60 = 40
So 40 students are in nothing. But you probably need to know how many students are in band. I would guess around 30 students are in band.
I hope this helped if it didn't I'm sorry.
The snow is now 52 inches deep. If this was a 77% decrease, what was the initial depth? What equation can help you find this?
Answer:
The required equation is:
0.23x = 52
Hence, option A is true.
Step-by-step explanation:
Given
Let 'x' be the initial depth
The snow is now 52 inches deep and it is a 77% decrease.
Let the initial 'x' depth be represented as 100%.
x → 100%
Given the current 52 inches is a 77% decrease. So, we need to decrease the 77/100 or 0.77 from the initial depth, so
[100% - 77%] of x = 52
[100/100 - 77/100] × x = 52
[1 - 0.77] × x = 52
0.23x = 52
Therefore, the required equation is:
0.23x = 52
Hence, option A is true.