[tex]-8(x-4)-3\leq 5[/tex]
fifteen less than the product of twenty-three and 2.8
(23 * 2.8) - 15
23 * 2.8 = 64.4
64.4 - 15 = 49.4
The profit, in dollars, a company makes selling a new line of iPhones is given by the
equation P(x) = −0.03x^2 + 225x − 24000, where x is the number of iPhones sold.
a) Find the instantaneous rate of change of the profit at x = 1000 iPhones sold.
b) Interpret your result.
The instantaneous rate of change is the change in the concentration of rate that occurs at a particular point of time. The variation in the derivative values at a particular point denotes the instantaneous rate of change. The instantaneous rate of change at a point is the value of derivative function evaluated at that point.
P(x) = −0.03x^2 + 225x − 24000
To find the instantaneous rate of change we need to differentiate the equation with respect to x
P'(x) = -0.06x +225
at x =0
P'(0)= 225
now put x = 1000 because we need to know instantaneous rate of change of the profit at x = 1000 iPhones sold
P'(1000) = -0.06(1000) + 225
= -60 + 225
= 165
Hence, the instantaneous rate of change of the profit at x = 1000 iPhones sold is 165
This means that the increase in sales also increase the profit but at a decreasing rate or the marginal profit of iPhones increases with decreasing rates
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The following table shows the average total cost, measured as dollars expended per pupil, of operating a high school with the given enrollment. This table is based on a study of economies of scale in high school operations from the 1960s.
Enrollment 170 250 450 650
Average total cost 539 482 421 415
What would you estimate for the average cost per student at an enrollment of 750 students? $
Using linear regression, the estimate for the average cost per student at an enrollment of 750 students is of $373.
How to find the equation of linear regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
For this problem, the points are given as follows:
(170, 539), (250, 482), (450, 421), (650, 415).
Inserting these points into the calculator, the function is:
y = -0.24733x + 558.23703.
When x = 750:
y = -0.24733(750) + 558.23703 = 373.
The estimate for the average cost per student at an enrollment of 750 students is of $373.
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Cedric lives in an apartment and pays the following expenses each month: electric bill,
$33.90; TV streaming service, $24.99; and rent, $538.95. Estimate his total expenses for
the month by first rounding each value to the nearest tens place.
A. $550
B. $590
C. $598
D. $600
Answer:
C. $598
Step-by-step explanation:
$33.90 = $34
$24.99 = $25
$539.95 = $539
Simplify -100 square rooted
Answer:
√-100 = 10 i
Step-by-step explanation:
√-100 = √100 × √-1
The square root of 100 is 10. Furthermore, the square root of negative 1 is an imaginary insignificant number (iota) which can be transliterated as i. That's it. Now, we have our answer to the square root of negative 100.
Evaluate 5x, for x=9
Answer: 45
Step-by-step explanation:
1. Replace x with 9 in term. Replacing x with 9 turns the term 5x into 5(9).
2. Multiply. 5 times 9 = 45.
This means that if x is equal to nine, then 5x is equal to 45/
Gabrielle buys a plant that is 3 inches tall. It grows at a rate of 3 1 inches per month. The graph below represents the relationship between the number of months and the height of the plant.
The expression that represents the relationship between the number of months and the height of the plant will be 3 + 3.1m
How to illustrate the information?It should be noted that from the information, Gabrielle buys a plant that is 3 inches tall and the plant grows at a rate of 3.1 inches per month.
Therefore, the expression to show the relationship will be:
= 3 + (3.1 × m)
= 3 + 3.1m
Therefore, the expression that represents the relationship between the number of months and the height of the plant will be 3 + 3.1m.
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21/09/22
un articulo regulamente cuesta $85 pesos esta a
la venta con un descuento del 30% del precio regular
¿Cual es el precio de venta?
Slove this question!!!!!!!!!!!!!!
Answer:
247/8
Step-by-step explanation:
How would you write 125/6^−4using a positive exponent?
Answer: 162000
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
162000
[tex]\displaystyle\\Answer:\ (\frac{6}{125})^4[/tex]
Step-by-step explanation:
[tex]\displaystyle\\(\frac{125}{6} )^{-4}=\\\\(\frac{6}{125})^{-(-4)}= \\\\(\frac{6}{125})^4[/tex]
What is the correct classification for each given angle? Drag and drop the answer into the box to match each angle. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. ∠RQU ∠SQU ∠RQT Ray R Q and Ray Q T are connected at point Q 90 degrees apart from each other. Line VQS extends diagonally down to the up right at point Q and forms an interior angle labeled as 19 degrees and 71 degrees. Ray QU extends down to the right of the QT and forms an interior angle labeled as 18 degrees.
∠RQU is an obtuse angle.
∠SQU is an acute angle.
∠RQT is an right angle.
How to Classify Angles?A right angle equals 90 degrees.An acute angle is less than 90 degrees.An obtuse angle is less than 180 degrees but greater than 90 degrees.A straight angle equals 180 degrees.m∠RQU = 19 + 71 + 18 = 108°.
Therefore, ∠RQU is an obtuse angle.
m∠SQU = 71 + 18 = 89°
Therefore, ∠SQU is an acute angle.
m∠RQT = 71 + 19 = 90°
Therefore, ∠RQT is an right angle.
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What is the minium value of the function g (x) = x^2 - 6x - 12?
The minimum value of the function is = -12
The function g(x) is defined for integers x such that if x is even, g(x) = x/2 and if x is odd, g(x) = x + 5.
given that , g(x)= x^2 - 6x - 12
asked to find minimum value
to get minimum value of g(x) put x=0
on putting x=0 ,the value of x^2 becomes 0
the value of 6x also becomes 0
so the equation g(0) becomes 0-0-12
g(0)= -12
on putting x=0 we get g(0) as -12 which is its minimum value
we get minimum value for g(x) when x=0
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Answer:
The function's minimum value is -12.
Step-by-step explanation:
Integers x are used to define the function g(x), and it is defined so that if x is even, g(x) = x/2 and if x is odd, g(x) = x + 5.
Considering, g(x)=x2 - 6x - 12
requested to determine the minimal value
Put x=0 to obtain the minimal value of g(x).
When x=0 is entered, the value of x2 is changed to 0.
6x's value is also reduced to 0.
so the equation g(0) becomes 0-0-12
g(0)= -12
on putting x=0 we get g(0) as -12 which is its minimum value
we get minimum value for g(x) when x=0
Calculate and interpret the residual for the flower that had 2 tablespoons of sugar and looked fresh for 204 hours.
The Residual is -8.4 hours and the interpretation of the given residual is that the carnation stayed fresh for 8.4 hours less than expected based on how much sugar it received.
How to find the residual of a scatter plot?A residual plot is a type of scatter plot where the horizontal axis represents the independent variable, or input variable of the data, and the vertical axis represents the residual values.
Now, looking at the given residual plot and using a calculator online, we can say that the equation of the least squares regression line is;
y^ = 180.8 + 15.2x
Now, for 2 tablespoons of sugar , we have x = 2. Thus;
y^ = 180.8 + 15.2(2)
y^ = 212.4 hours
Residual for 204 hours is;
Residual = 204 - 212.4 = -8.4 hours
Thus, the interpretation of the given residual is that the carnation stayed fresh for 8.4 hours less than expected based on how much sugar it received.
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Complete question is;
Does adding sugar to the water in a vase help flowers stay fresh? To find out, two statistics students went to a flower shop and randomly selected 12 carnations. When they got home, the students prepared 12 identical vases with exactly the same amount of water in each vase. They put one tablespoon of sugarin 3 vases, two tablespoons of sugar in 3 vases, and three tablespoons of sugar in 3 vases.In the remaining 3 vases, they put no sugar. After the vases were prepared, the students randomly assigned 1 carnation to each vase and observed how many hours each flower continued to look fresh.
Calculate and interpret the residual for the flower that had 2 tablespoons of sugar and looked fresh for 204 hours.
Bao goes out to lunch. The bill, before tax and tip, was $15.80. A sales tax of 4.5% was
added on. Bao tipped 15% on the amount after the sales tax was added. How much tip
did she leave? Round to the nearest cent.
Answer:
$18.59
Step-by-step explanation:
Tax:
15.80 x .045 = .711
Cost after tax:
15.80 +.711 = 16.511
Tip:
16.511 x .15 = 2.47665
Total cost
16.511 + 2.47665 = 18.58665 Rounded to the nearest penny is $18.59
At SpaceX, level 1 engineers make a salary of $56,000 a year and level 2 engineers get a yearly salary of $68,000. They have 8 total engineers, all which are level 1. They are looking to promote some of them to level 2. However, next year they’ll only be able to afford $472,000 in engineer salaries.
Write a system of equations befitting this problem where a is the number of level 1 engineers and b is the number of level 2 engineers.
Number of level 1 engineers is 6 and number of level 2 engineers is 2.
Let a is the number of level 1 engineers working at SpaceX and b is the number of level 2 engineers working at SpaceX.
So, Total Numbers of Engineers at SpaceX is 8.
[tex]a+b=8\\[/tex]
Yearly Salary of a Level 1 Engineer that will get is $56,000. and yearly salary of a Level 2 Engineer that will get is $68,000.
And the amount of salary next year company will only be able to afford $472,000.
So,
[tex]56000a + 68000b = 472000[/tex]
Solving both the equation
[tex]a+ b = 8\\56000a + 68000b = 472000[/tex]
on multiplying first equation -56000 and adding it
[tex]-56000x - 56000y = -448000\\56000x + 68000y = 472000[/tex]
[tex]12000b = 24000\\b = 2\\[/tex]
So, a = 6.
So, Number of level 1 engineers is 6 and number of level 2 engineers is 2.
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Number of level 1 engineers is 6 and number of level 2 engineers is 2.
Let a is the number of level 1 engineers working at SpaceX and b is the number of level 2 engineers working at SpaceX.
SinceTotal Numbers of Engineers at SpaceX is 8.
[tex]a+b=8[/tex]
Yearly Salary of a Level 1 Engineer that will get is $56,000. and yearly salary of a Level 2 Engineer that will get is $68,000.
And the amount of salary next year company will only be able to afford $472,000.
So,
[tex]56000a+68000b=472000[/tex]
Solving both the equation
on multiplying first equation -56000 and adding it
[tex]-56000a-56000b=-448000\\56000a+68000b=472000[/tex]
[tex]12000b = 24000\\b = 2000[/tex]
So, a = 6.
So, Number of level 1 engineers is 6 and number of level 2 engineers is 2.
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Let a and b be real numbers where a + b 0. Which of the following functions could represent the graph below?
q
Of(x) = x(x-a)2(x-b)4
O f(x) = x(x-a)³(x-b)²
Of(x)=(x-a)(x- b)²
Of(x)= x²(x-a)5(x-b)
X
d Fuit
Next
Submit
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Answer
Determine the mass in (g) of 2.6x10-3 mol Na2So4
Answer:
0.36933g or 0.3693g in 2.6 x 10^-3 moles of Na2SO4
Step-by-step explanation:
Molar mass
Na = 22.99
S = 32.07
O = 16
Na(2) + S + O(4) =
22.99(2) + 32.07 + 16(4) =
45.98 + 32.07 + 64 = 142.05g
Na2SO4 = 142.05g
2.6 x 10^-3 moles = 0.0026 moles
0.0026 x 142.05 = 0.36933
Which type of data cannot be sorted?
Answer:
credit card an bank information
medical history
Write the equation of the line that passes through the points (1,−9) and (3,−17).
Answer:
Step-by-step explanation:
Point slope form y-y₁ = m(x-x₁)
-9 - (-17) = m(1 - 3)
8 = m(-2)
-4 = m
y= -4x + b
-9 = -4(1) + b
b = -5
y = -4x - 5
Need some help with this
find the width and height of an newer 90 inch televison whose aspect ratio is 16:9
The width and height of a newer 90 inch televison whose aspect ratio is 16:9 are 57.6 and 32.4 inches
How to find the width and height of an newer 90 inch televison whose aspect ratio is 16:9?The given parameters are
Aspect ratio = 16 : 9
Size = 90 inches
The width is calculated as
Width = 16/(16 + 9) * 90
Evaluate
Width = 57.6
This means that
height = 9/(16 + 9) * 90
Evaluate
height = 32.4
Hence, the width and height of a newer 90 inch televison whose aspect ratio is 16:9 are 57.6 and 32.4 inches
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The table represents a funtion. which value is an output of the function?
A) -6
B) -2
C) 4
D) 7
Answer:
B
Step-by-step explanation:
f(x) = function
you can see -6, 4 and seven are the values of x, which is not a function. and -2 is value of f(x) which is a function
A taxi service charges you $1.25 plus $0.75 per mile
driven to the airport. The total cost of the trip to the
airport was $12.50. How many miles was the trip to the
airport?
19 miles
17 miles
13 miles
15 miles
11 miles
Length of gestation < 20 weeks 20 − 27 weeks 28 − 36 weeks > 36 weeks Probability .0004 .0059 .0855 .9082 Furthermore, the conditional probability of low birth weight, given that length of gestation is < 20 weeks is .540 while this probability is .813, given that length of gestation is 20−27 weeks, is .379 when given that length of gestation is 28 − 36 weeks, and this probability is .035, given that length of gestation is > 36 weeks. (a) What is the probability that an infant has a low birth weight? (b) Show that the events {length of gestation ≤ 27 weeks} and {low birth weight} are not independent. (c) What is the probability of having a length of gestation ≤ 36 weeks given that a child is low birth weight?
(a) The probability of an infant has a low birth weight is equal to 1540.
(b) Won't find a probability that the event is not less than 27 and are not independent. So we need to answer that we will have to find a low both by given less than equal to the 27 point.
(c) Probability in less than equal to 36 and 8, given problem the 1 now for the probability the we have found already equal to 0692 point and for the time it will be the sum of the 3 of them.
The length of the gestation 123 under 4, and the first 1 will be small and then the came 3 weeks, and this 1 will be from the 22. The 27 weeks- and this will be the 28 to the 36 weeks- this will be the greater than the 36 weeks and we have the probability for each of them, for the first 1 will be. The 1 will be 59 point. This 1 will be the 855, and this 1 will be the ebon 9 to 82 and the next 1. We will have the call this. The means that the will be the frame is not the lowest weight, so condition will be low, and this 1 will be no more, which makes it easier now and no more no more. It will be, and this will be no more.
It will again now and then no more so from the question here even to win be less than 20, with the probability low weight equal to 1540, the common among 1 minus that equal to 46 point the next 1 for the 2227 point, the probability equal to the 1, is 13, the common 1 equals to 1 minus 0 upon , 131 minus upon 13 ease and the next 1 will on 3791 minus 379 to 621, and the last 1 will be the 1351 minus 35 o 965, and that will be the summary of The question here the question: find the probability that an infant has a child, so we have the lobed and we want to root the. By going to the first plan, and this 1 . I got you this 1 and then got you. got the last 1 and then got to the low, so we multiply them like a pair and then we add them up. So if we do it, we should get the tiptoe. We keep going like this until the last value will be on 982 time 35, and if we compute it, we will have the 4 times 4 plus 59 times upon a 13 plus 3855 times 379 plus upon 9082 times 35 equal to 0692 point for the question B, won't you find a probability that the event is not less than 27 and are not independent. So we need to answer that we will have to find a low both by given less than equal to the 27 point, so it will be between the both of them here. So we will end up the first and second 1, so we will have. It will be equal to. I will try to find the probability, the al and the less than equal to 27 point. So we'll add up this 1 and this 1 together. So we get on 5 , 59 and 10 times 13, and if we compare the 54 plus 5910 on a 135127 point and then we want to find a probability of the time with the probability point probably the end. We have equal to the 1692 we found in the time when the problem is the last time question to 27 will be the sum of the all be the 59, and we can equal to the 59 times 4 equal to the 2152 times 10 to the power. Minus 6 and it's a different form, the 127 point, so the form they are not independent and for of question c 1251 is the probability of the testation will be less than equal to the thirty. Sixth, given that this 1 by the formula equal probability in less than equal to 36 and 8, given problem the 1 now for the probability the we have found already equal to 0692 point and for the time it will be the sum of the 3 of them here on together, so it will be easy adjacent to her .0692 l minus the last 1 here will be minus 982 times 35 and if we compute it, we go have on in 82 times 35006. So let me compute again. 0.9082100. .035 point. the son from here, so let me compare again time, 5 or so 59 times upon it: 13 plus 55 times 3 on 982 times upon 35, then this 1 equal to the point 6 p. This will be correct here, 692 point. So this 1 minus 82 times 5692 point and if we compute we can equal to the 0.54071.
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Y=-1/2x+2 Find the x intercept of each line define below and compare they values
The x intercept of the defined line is x = -4
How to find the x intercept of the defined line?The equation of the line is given as
y = 1/2x + 2
At the x intercept of the defined line, the value of y is 0
i.e. y = 0
So, we have
1/2x + 2 = 0
Subtract 2 from both sides of the equation
So, we have
1/2x = -2
Multiply through the equation by 2
So, we have
x = -4
Hence. the x intercept of the defined line is x = -4
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Question 1
The point (6, y) lies on the line
y = -8x + 2. Find y
Answer:
y=-50
Step-by-step explanation:
x=6
substitute x and u will find the answer
If the temperature on the ground is 63F, then the air temperature x miles high is given by T=63−29x. Determine the altitudes at which the air temperature is less than 4.4F.
The temperature is less that 4.4 °F for altitudes greater than 2.021 miles high.
In which altitudes do we get a certain range of temperatures?
Herein we find that the temperature, in grades Fahrenheit, decreases linearly inasmuch as the altitude, in miles, increases. In accordance with the statement, we solve for T in the following inequality:
63 - 29 · x < 4.4
63 - 4.4 < 29 · x
58.6 < 29 · x
29 · x > 58.6
x > 2.021 mi
The temperature is less that 4.4 °F for altitudes greater than 2.021 miles high.
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Here are 4 triangles that have been transformed by a different transformation. Which transformation is a reflection? Can someone please help me with this
Answer:
choice 1 or A the first one
Step-by-step explanation:
Find a degree 3 polynomial with real coefficients having zeros 2 and 4 i and a lead coefficient of 1. Write P in expanded form. Be sure to write the full equation, including P ( x ) =
The degree of the polynomial is a f(x)=x^3-2x^2+16x-32.
According to the statement
We have to find that the degree of the polynomial.
So, For this purpose, we know that the
The degree of a polynomial is the highest power of the variable in a polynomial expression.
From the given information:
with real coefficients having zeros 2 and 4 i and a lead coefficient of 1.
Then
We know that the complex zeros always occur in pairs.
zeros are 2,4i,-4i
f(x)=(x-2)(x-4i)(x+4i)
f(x)=(x-2)((x)^2-(4i)^2)
f(x)=(x-2)(x^2-16i^2)
f(x)=(x-2)(x^2+16)
f(x)=x^3-2x^2+16x-32.
So, The degree of the polynomial is a f(x)=x^3-2x^2+16x-32.
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