The differential for P = 0.2x² -17x -10 is P' = 0.4x - 17
Step-by-step explanation:
Let us revise how to differentiate an equation with respect to x
If the equation is [tex]y = ax^{n}+b[/tex] , where a , b are constant
The differentiation of the term [tex]ax^{n}[/tex] is [tex]a(n)x^{(n-1)}[/tex] (multiply the coefficient of x by the power"n" and subtract 1 from the power)The differentiation of the term b is 0, because b is a constantThe differentiation of y is [tex]\frac{dy}{dx}=a(n)x^{(n-1)}+0=a(n)x^{(n-1)}[/tex]You can write [tex]\frac{dy}{dx}[/tex] as y'∵ P = 0.2x² - 17x - 10
- Let us differentiate each term
∵ The differentiation of 0.2x² is [tex]0.2(2)x^{2-1}=0.4x^{1}=0.4x[/tex]
∵ The differentiation of -17x is [tex]-17(1)x^{1-1}=-17x^{0}=-17(1)=-17[/tex]
∵ The differentiation of -10 is zero because the differentiation
of the numerical term is 0
∴ The differentiation of P is P' = 0.4x - 17
The differential for P = 0.2x² -17x -10 is P' = 0.4x - 17
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Graph the line represented by the equation. y−3=−12(x+4)
Answer:
equation of the line = y=12x+45 i cant rlly graph it for you
Step-by-step explanation:
y-3 = 12 (x+4)
y-3 = 12x + 48
-3 -3
y=12x + 45
Keisha has a total of 90 coins all of which are either dimes or quarters the total value of the coins is $13.50 find the number of each type of coin
How do you solve 10n - 40
Answer:
10(n-4)
Step-by-step explanation:
10n-40=10(n-4)
If this is what you were asked to find, then that's the answer. Because 10n-40 is just an expression, it's not something you can solve for it, since it's not an equation. So I simplified this expression for you by factoring.
Find all possible values of parameter a such that x^2−|x−a|−|x−1|+3≥0 inequality holds for all real values of x.
Answer:
x ≤ 2
Explanation:
As with equations, there may be instances in which there is no solution to an inequality. Isolate the absolute value by subtracting 9 from both sides of the inequality. The absolute value of a quantity can never be a negative number, so there is no solution to the inequality.
Find the area of this rectangle 1.6 inches 8 inches
Final answer:
The area of the rectangle is 12.8 square inches.
Explanation:
The area of a rectangle can be found by multiplying its length by its width. In this case, the length of the rectangle is 1.6 inches and the width is 8 inches. So, the formula for the area is:
Area = length x width
Substituting the given values, we get:
Area = 1.6 inches x 8 inches = 12.8 square inches
Which of the following is written in correct scientific notation?
A. 809 * 104
B. 80.9 * 104
C. 80.9 * 10-4
D. 8.09 * 104
First, correct answer gets brainiest
which of the following is written in correct scientific notation?
Hailey has a summer job at the water slide park. She earns $9.50 an hour as a lifeguard, but never works more than 25 hours in a week. She determines that her salary is modeled by the function s = 9.5h.
Answer:
{0 ≤ h ≤ 25}
Step-by-step explanation:
The domain of a function is the set of all values for independent variable for which the function must be defined.
Given: The amount earned by Hailey for one hour work =$9.50
She determines that her salary is modeled by the function .
Here h is the independent variable such that 's' is dependent on 'h'.
Since she never works more than 25 hours in a week.
Therefore, the maximum hours she will work = 25
Hence, the domain of this function in this situation is {0 ≤ h ≤ 25}, where h is number of hours she works.
Answer:
{0 ≤ h ≤ 25}
Step-by-step explanation:
The domain of a function is the set of all values for independent variable for which the function must be defined.
Given: The amount earned by Hailey for one hour work =$9.50
She determines that her salary is modeled by the function .
Here h is the independent variable such that 's' is dependent on 'h'.
Since she never works more than 25 hours in a week.
Therefore, the maximum hours she will work = 25
Hence, the domain of this function in this situation is {0 ≤ h ≤ 25}, where h is number of hours she works.
Please explain your answer. Thank you!
Answer:
OPTION A
Step-by-step explanation:
[tex]$ 9r + 2 = \frac{7(r - 5)}{3} $[/tex]
[tex]$ \implies 9r + 2 = \frac{7r - 35}{3} $[/tex]
Multiplying throughout by [tex]$ r $[/tex]we get:
[tex]$ 27r + 6 = 7r - 35 $[/tex]
[tex]$ \implies 20r = -41 $[/tex]
[tex]$ \therefore r = \frac{-41}{20} $[/tex]
OPTION A is the answer.
-0.5(x + 0.3) = 1.6x +0.9(x + 4.8) please show the work!
Answer:
Step-by-step explanation:
So basically what you want to do is start with the distributive property.
-0.5(x+0.3) = 1.6x+0.9(x+4.8) would then equal -0.5x-0.15 = 1.6x+0.9x+4.32.
Then, add the matching terms on the right side (the x values) 1.6x+0.9x =2.5x
Your equation should the look like -0.5x-0.15 = 2.5x+4.32.
Next, add -0.5x to 2.5x giving you 3x
The equation will look like -0.15 = 3x+4.32
After that subtract 4.32 from -0.15 leaving you with -4.47=3x
Divide 3x from both sides
Your answer should be x= -1.49.
I hope this was helpful and not super confusing! Also if anything is incorrect let me know! :)
Solve the system of equations by graphing where f(x)=5-2x and g(x)=(2/3)x-2. What is the value of x? 0 1 2 3 4
Answer:
The graph is uploaded in the attachment.
The value of x is 2.625.
Step-by-step explanation:
let us plot f(x), g(x) on y-axisso, f(x)=y and g(x)=y.
the first equation can be written as y=5-2xthe general equation of a straight is y=mx+c( where m is the slope and c is the y-intercept )
now comparing given equation with the general equation mentioned above, the slope of first line is -2 and its y-intercept is 5the slope of second equation i.e, y=(2/3)x-2 is 2/3 and its y-intercept is -2.now plot the graph using above information.(y-intercept is the the coordinate of a point where the line intersects y-axis)
(slope is the angle made by the line with the x-axis)
by seeing the graph, the value of x is 2.625.Write the decimal 1.0056 in word form
Answer:
one and fifty six hundred thousandths
Answer:
one and fifty-six ten-thousandths
~ or, simpler ~
one point zero zero five six
Step-by-step explanation: hope this helps :)
There is 1 red gumdrop and 4 green gumdrops in a small jar. Also, 2 pieces of butterscotch candy and 3 pieces of cinnamon
candy are in another jar. If Craig draws one piece of candy from each jar without looking, what's the probability that he will
get a red gumdrop and a piece of butterscotch candy?
Answer:
The probability that he will get a red gumdrop and a piece of butterscotch candy is 2/25
Step-by-step explanation:
The path to find the answer is to find the probability of both things happening and then multiply them. First, there is 1 red gumdrop and 4 green gumdrops in a jar. There are 5 gumdrops total so the probability of choosing a red one is 1/5. Next, there are 2 pieces of butterscotch candy and 3 pieces of cinnamon candy in another jar. There are 5 pieces of candy total so the probability of choosing a piece of butterscotch candy is 2/5. Finally multiply the two probabilities: 1/5 * 2/5 = 2/25.
The probability that Craig will draw a red gumdrop from the first jar and a butterscotch candy from the second jar is 0.08 or 8%.
Explanation:The subject of this problem is probability. Probability refers to the measure of the likelihood that an event will occur in a random experiment. In this specific problem, Craig randomly chooses one candy from each jar. We want to find the likelihood that Craig will choose one red gumdrop and one piece of butterscotch candy.
There are a total of 5 gumdrops in the first jar, with 1 being red. Thus, the probability of choosing a red gumdrop is 1/5. In the second jar, there are a total of 5 pieces of candy, with 2 being butterscotch. As such, the probability of choosing a butterscotch candy is 2/5.
To calculate the total probability, you multiply both probabilities, getting a final probability of (1/5) * (2/5) = 2/25 = 0.08. This means that there is an 8% chance that Craig will draw a red gumdrop and a butterscotch candy.
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least to greatest -4.3, -82.5, -41 4/5, -13 1/8
-82.5, -41 4/5, -13 1/8, -4.3
Final answer:
To arrange the numbers from least to greatest, you order them based on their value on the number line, with larger negative values representing smaller quantities. The numbers from least to greatest are -82.5, -41 4/5, -13 1/8, and -4.3.
Explanation:
To arrange the numbers -4.3, -82.5, -41 4/5 (which is -41.8), and -13 1/8 (which is -13.125) from least to greatest, we must compare their values on the number line. Larger negative numbers are those with the greater absolute value or those that are farther from zero in the negative direction.
Focusing on the given numbers:
-82.5 is the largest negative number, so it is the least.
-41 4/5 (or -41.8) is next, being less negative than -82.5.
-13 1/8 (or -13.125) is less negative than both -82.5 and -41.8.
-4.3 is the smallest negative number, so it is the greatest of the negatives.
Therefore, when ordered from least to greatest, the numbers are:
-82.5
-41 4/5
-13 1/8
-4.3
(7n + 2)(4n+8)
What is the answer?
Answer:
28 n 2 + 64 n + 16
Step-by-step explanation:
Miss Garcia is ordering pizza for students in the homework club. A large two-topping Pizza is 20% off the regular price of $15. Miss Garcia wants to know the sale price.What percent of the regular price is the sale price.
Answer:
Sale price is $12 which is 80% of the regular price.
Step-by-step explanation:
A large two-topping Pizza is 20% off the regular price of $15.
Therefore, the sale price is [tex]15(1 - \frac{20}{100} ) = 15 \times 0.8 = 12[/tex] dollars. (Answer)
Now, let us assume that x% of regular price i.e. $15 is the sale price i.e. $12.
So, [tex]\frac{15 \times x}{100} = 12[/tex]
⇒ [tex]x = \frac{12 \times 100}{15}[/tex]
⇒ x = 80% (Answer)
Answer:
15 regular price 20% discount ? sale price and the next answer is 0.8(15) and the sale price gone be 12.
Step-by-step explanation:
I did the I-ready Hope this helps.
0.8(15) answer 12 so thats how I know thats the sale price and they wanted to know what was the sale price. I did the I-ready..Now have a good day at school or whatever.
Write equation of a line that is parallel to x=8 and the passes through the point ( -3, -2)
Answer:
x = - 3
Step-by-step explanation:
x = 8 is the equation of a vertical line parallel to the y- axis.
Thus a line parallel to it will also be vertical with equation
y = c
Where c is the value of the x- coordinates the line passes through
The line passes through (- 3, - 2) with x- coordinate - 3, thus
x = - 3 ← equation of parallel line
There is no equation of a line that is parallel to x=8 and passes through the point (-3, -2).
Explanation:To find the equation of a line parallel to x = 8 and passing through the point (-3, -2), we need to know that a line with an equation x = a is a vertical line passing through the point (a, 0), and it has no slope. Since we need to find a line with the same slope as x = 8, we can set the equation to x = -3, which represents a vertical line passing through the point (-3, 0).
However, this line is parallel to x = 8 rather than passing through the point (-3, -2). Therefore, there is no equation of a line that is parallel to x = 8 and passes through the point (-3, -2).
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Solve -37+n=-56 for n.
Answer:
n=-19
Step-by-step explanation:
-37+n+37=-56+37
n=-19
Answer:
-37+n=-56
n= -56-(-37)
n= -19
Which measure of variability can be compared using the box plots?
Box plots are useful for comparing the measure of variability in datasets. Specifically, they compare the interquartile range (IQR), which is the range covering the middle 50% of a dataset. This is represented by the box in the plot, and additional info like median and potential outliers are also shown.
In the field of statistics, box plots, also known as box and whisker plots, are useful for comparing the measure of variability in a data set. The specific measure of variability that can be compared using the box plots is called the interquartile range (IQR).
The IQR is the range within which the middle 50% of a dataset falls. It is calculated by subtracting the lower quartile (25th percentile) from the upper quartile (75th percentile). These quartiles are represented on a box plot by the edges of the box, which makes it easier to visually compare the variability of different datasets.Box plots also present additional information like median and potential outliers in the data.
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How do you compare fractions?
You compare fractions by seeing the denominator is the same and then you add them or multiply them or diving them and that is how you compare fractions.
evaluate the expression 3 4/5x-2 1/2 for x =-10
Answer:
The value of given expression for x = - 10 is - 81
Step-by-step explanation:
Given expression as :
3 [tex]\frac{4}{5}[/tex]x - 2 [tex]\frac{1}{2}[/tex]
Or, 3 + [tex]\frac{4}{5}[/tex]x - 2 - [tex]\frac{1}{2}[/tex]
Or, [tex]\frac{19}{5}[/tex]x - [tex]\frac{5}{2}[/tex]
or, [tex]\frac{38 x - 25}{5}[/tex]
Now for x = - 10
[tex]\frac{38\times (- 10) - 25}{5}[/tex]
Or, [tex]{38\times (- 2) - 5}[/tex]
∴ - 76 - 5
Or, - 81
Hence The value of given expression for x = - 10 is - 81 Answer
Does anyone know the answer???
Answer:
3,600 m²Step-by-step explanation:
The formula of a surface area of a sphere:
[tex]SA=4\pi R^2[/tex]
R - radius
We have R = 30m.
Substitute:
[tex]SA=4\pi(30^2)=4\pi(900)=3600\pi\ m^2[/tex]
Please help me with this problem! I don't understand!
Determine the equation of a line perpendicular to -6x+9y-12=0 with the same y-intercept as the line defined by -8x+2y-6=0
Answer:
y = -3/2 x + 3
Step-by-step explanation:
If two lines' slopes multiply to get -1, they are perpendicular to each other.
In -6x+9y-12=0, find the slope by converting to slope-intercept form.
Isolate y:
-6x+9y-12=0
-6x+9y = 12
9y = 6x + 12
y = 6/9 x + 12/9
y = 2/3 x + 4/3
The slope in this line is 2/3.
To find the slope of a perpendicular line, find its negative reciprocal. The negative reciprocal is when you switch the top and bottoms numbers and multiply it by -1.
2/3 => -3/2
The slope of the perpendicular line is -3/2.
In -8x+2y-6=0, find the y-intercept by converting to slope-intercept form.
Isolate y:
-8x+2y-6=0
-8x + 2y = 6
2y = 8x + 6
y = 8/4 x + 6/2
y = 2x + 3
Slope-intercept form is y = mx + b, which b is the y-intercept.
The y-intercept is 3.
Substitute the slope and y-intercept values into the equation of a line in slope-intercept form.
y = mx + b
y = -3/2 x + 3
Solve the equation.
-3(y – 5) = 24
CHECK
Answer:
y=3 is the answer to this
Answer:
-3
Step-by-step explanation:
What is the ratio of 96 to 20
Answer:
24:5
Step-by-step explanation:
The area of a square is a function of its perimeter. Graph the function on a separate sheet of grid paper . Explain wether the function is linear and if the graph is increasing or decreasing .
How do i graph it ? and is the the function linear . Is the graph increasing or decreasing ? PLEASE HELP .
Answer:
Parabola [tex]P^{2}[/tex] = 16A
Non-linear function.
Increasing function.
Step-by-step explanation:
Let a be the side length of a square ,
Then, Perimeter of square (P) = 4a
So, a can be written as a = [tex]\frac{P}{4}[/tex]
Area of square (A) = [tex]a^{2}[/tex] .
So, A = [tex]\frac{P^{2} }{4^{2} }[/tex]
= [tex]\frac{P^{2} }{16 }[/tex]
[tex]P^{2}[/tex] = 16A
It is the equation of parabola. (similar to [tex]y^{2}[/tex] = 4ax)
It is a non - linear function as square of Perimeter is related to Area , not directly Perimeter.
Also, it is a increasing function since as A increases P increases.
Final answer:
The function relating the area of a square to its perimeter is a quadratic function shown by the equation A = P²/16, which is graphed as a parabola. The graph is not linear, and it illustrates that as the perimeter increases, the area increases at an accelerating rate, hence it is always increasing.
Explanation:
To graph the function that relates the area of a square to its perimeter, first understand that the area A of a square is equal to the side length squared (s²), and the perimeter P is four times the side length (4s). These relationships can help us derive the function A = f(P). Here's how you would do it:
Start by expressing the side length s in terms of P: since P = 4s, then s = P/4.Substitute s = P/4 into the area formula: A = s² = (P/4)².Simplify the equation: A = P²/16. This equation shows that the area A is a function of the perimeter P.Plot this function by choosing values for P and calculating the corresponding A. For example, if P = 4, then A = 1; if P = 8, then A = 4, and so on.Plot the points on your graph paper and connect them with a curve.The graph of this function is not linear but a parabola opening upwards because it has the form of a quadratic equation A = P²/16. This means the graph will be an increasing curve as the perimeter increases, the area increases at an accelerating rate. It is important to note that the graph of this function is always increasing, and the rate of increase grows as the value of P increases
PLEASE HELP ASAP!!!
Functions f(x) and g(x) are shown below:
f(x) = x2
g(x) = x2 + 8x + 16
In which direction and by how many units should f(x) be shifted to obtain g(x)?
A.Left by 4 units
B. Right by 4 units
C.Left by 8 units
D. Right by 8 units
Answer:
A. Left by 4 units
Step-by-step explanation:
ƒ(x) = x²
It has a vertex at (0, 0), and the y-axis is the axis of symmetry
g(x) = x² + 8x + 16 = (x + 4)²
You have added 4 to the value of x, so you have shifted the graph four units to the left.
Thus, to make the graphs of ƒ(x) and g(x) coincide, you should shift ƒ(x) left by 4 units.
The diagram below shows ƒ(x) in red and g(x) in green.
If 6 workers paint 6 meters of a fence in 6 hours, how long will it take for 12 workers to paint 12 meters of the fence?
Answer:
2 days & 3 hours
Step-by-step explanation:
Answer: 6hrs
Step-by-step explanation:
6 lb 4 oz − 5 lb 10 oz
Answer:
10oz
Step-by-step explanation:
1 lb = 16 oz, so
(6*16 +4)-(5*16+10)
100-90=
10 oz
First, put both into just ounces. (1lb = 16oz)
6lb 4oz = 100oz.
5lb 10oz = 90oz.
Second, subtract.
100 - 90 = 10oz.
This is the answer. Note that 1lb = 16lb, so we can't put 10oz into pounds.
______
Hence, the answer is 10oz.
______
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Dylan opened a credit card account with $750.00 of available credit. Now that he has made some purchases, Dylan's account only has $412.50 of available credit. What is the percentage decrease of the amount of available credit in Dylan's account?
A. 34%
B. 55%
C. 45%
D. 82%
Answer:
C. 45%
Step-by-step explanation:
Initial credit in his account = $750.00
Credit in his account after some purchases = $412.50
⇒Decrease in credit = $750.00 - $412.50
⇒Decrease in credit = $337.5
percentage decrease of amount of available credit = [tex]\frac{decrease\ in\ credit}{initial\ credit}[/tex]×100
= [tex]\frac{337.50}{750.00}[/tex]×100
= [tex]\frac{9}{20}[/tex]×100
= 9×5
= 45%
∴Percentage decrease of the amount of available credit in Dylan's account is 45%
I really need help answer it correctly please please please I need help I can figured it out show your work answer it correctly please please please .
Answer:
This for a science class I am guessing
Step-by-step explanation:
8 A -3×6
9 C 12×5 - 3×6
10 A 15× 120 min
11 D 5×-50
12 A add profit subtract expenses from profit total
13 B 118- 34 then divide by 2
14 A add the two costs