The period of time does the stock price rise is 0 ≤ t ≤ 10/3.
It would sell in 3.34 days.
What is differentiation?It is the process of finding the derivative, or rate of change, of a function.
The price of a certain computer stock after t days is
p(t) = 100 + 20t - 3t²
Now, take the derivative of the given function and equate it to zero to find the critical points,
p'(t) = 20 - 6t = 0
t = 20/6
t = 10/3 days
Thus, there are two intervals in which the given function is defined
(0, 10/3) and (10/3, ∞)
For the interval (0,10/3 ),
p'(1) = 20 - 6(1) =14
For the interval (10/3, ∞),
p'(2) = 20 - 6(2) = 8
Since p'(t) in the interval (0, 10/3) indicates that the function is increasing.
0 < t <10/3
Since at the point t = 3.34 days it would sell.
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Find the factor of each ff.
49x²-63x+7
Answer:
7(7x²-9x +1)
Step-by-step explanation:
49x²-63x+7
7(7x²-9x +1)
covert this rational number to its decimal form and round to the nearest thousandth. 7/9
Answer:
0.778 to the nearest thousandth.
Step-by-step explanation:
Dividing 7 by 9:
9) 7.000000
0.7777777 .... <-- quotient
So it is 0.778 to the nearest thousandth.
In order to select new board members, the French club held an election. 25% of the 84 members of the club voted. How many members voted?
Answer: 21 people voted
Step-by-step explanation:
an easy way to do this is simply multiply 84 * 0.25.
This gives you [tex]\frac{1}{4}[/tex] of the original amount
in this case 84×0.25 = 21
This means that 21 people voted
What is the mean absolute deviation.
Answer:
1.56 rounded 1.6
Step-by-step explanation:
MAD (Mean Absolute Value):
step 1: Find the mean of the data
formula: sum of the data set / total number of terms
sum of the data set: 4 + 9 + 4 + 5 + 3 = 24
total number of terms: there is 5 numbers in the data set
mean = 24 / 5
mean = 4.8
step 2: Find the distance between each data and mean.
3, 4, 4, 5, 9
Distance between 3 and 4.8 is 1.8 (4.8 - 3 = 1.8)
Distance between 4 and 4.8 is 0.8 (4.8 - 4 = 0.8)
Distance between 4 and 4.8 is 0.8 (4.8 - 4 = 0.8)
Distance between 5 and 4.8 is -0.2 (4.8 - 5 = -0.2)
Distance between 9 and 4.8 is -4.2 (4.8 - 9 = -4.2)
step 3: take the absolute value of any negative numbers
|-0.2| and |-4.2| is 0.2 and 4.2
step 4: add all the distances
1.8 + 0.8 + 0.8 + 0.2 + 4.2 = 7.8
step 5: divided it by the number of data
7.8 / 5 = 1.56
Let me know if you have any questions !
Which is a coeffecient
Answer:
B is a coefficient
Step-by-step explanation:
Coefficient of 2O2 is 2.
B = 2
The following table gives the statements and justifications for solving the equation 4(x - 7) + 14 =
3x - 9.
Which of the following gives the justification steps in the correct order?
Answer:
From top to bottom:
Simplify
Combine like terms
Subtract 3x from both sides
Add 14 on both sides
Step-by-step explanation:
Hope this helps
What is the value of the rational expression below when xis equal to 4?
x-12/x-8
Answer:
= -7
Step-by-step explanation:
given x = 4
12/4 = 3
4 - 3 - 8 = -7
A 2-pack of movie tickets costs $17.24. What is the unit price
Answer:
As the two pack of ticket cost 17.24. Mean that the unit or the price of one pack will be half of it which is
8.62
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
If a satellite can travel 200ft per second, how many hours will it take the satellite to travel 10,000 miles?
Let's examine what the problem gives us:
Distance ⇒ 10000 milesTime ⇒ 200 ftWhat does the problem want:
⇒ time (in hours)
Must find the relationship between distance, speed, and time:
⇒ Distance = Speed * Time
⇒ [tex]Time = \frac{Distance}{Speed}[/tex]
Let's convert some units:
We want the time in hours and distance in miles, but we have speed in feet per sec, and we want miles per hour⇒ let's convert
⇒ [tex]\frac{200_.ft}{1_.s}*\frac{3600_.s}{1_.hr}*\frac{1_.mi}{5280_.ft}=136.36_. mi/hr[/tex]
Now let's solve:
[tex]Time = \frac{Distance}{Speed}=\frac{10000_.mi}{136.36.mi/hr} =73.33_.hrs[/tex]
Answer: 73.33 hrs (estimated)
What is the surface area of the box formed by the pattern below?
Answer:
S.A = 2( L×W+W×H+ H×L)
= 2(2×4+4×1+1×2)
= 2(8+4+2)
2(14)
= 2×14= 28
Step-by-step explanation:
answer 28
If xy + 1/(xy) = 2 , then what does (x^2)(y^2) + 1/((x^2)(y^2)) = ?
Show all work.
Show any graphical support.
Explain what happened with both the math work and the graph(s).
Think about what happened.
Would it happen with more terms or the next function in the sequence?
Why or why not? Explain.
The value of the expression will be [tex](xy)^2+\dfrac{1}{(xy)^2}=2[/tex]
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that:-
The value of the expression is [tex]xy+\dfrac{1}{xy}=2[/tex]
So we need to find [tex](xy)^2+\dfrac{1}{(xy)^2}=?[/tex]
The value of the expression will be calculated as:-
[tex]xy+\dfrac{1}{xy}=2[/tex]
Squaring the above equation.
[tex](xy)^2+\dfrac{1}{(xy^2)}+2\times (xy)^2\times \dfrac{1}{(xy^2)}=4[/tex]
[tex](xy)^2+\dfrac{1}{(xy^2)}=2[/tex]
Again squaring the above expression.
[tex](xy)^4+\dfrac{1}{(xy^4)}+2\times (xy)^4\times \dfrac{1}{(xy^4)}=4[/tex]
[tex](xy)^4+\dfrac{1}{(xy^4)}=2[/tex]
Hence the value of the expression will be [tex](xy)^2+\dfrac{1}{(xy)^2}=2[/tex]
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Rewrite the equation below so that it does not have fractions:
3/4x - 2 = 5/12
Do not use decimals in your answer.
Answer:
Equation = [tex]\frac{3}{4}[/tex] x - 2 = [tex]\frac{5}{12}[/tex]
First: [tex]\frac{3}{4}[/tex] x = [tex]\frac{5}{12}[/tex] + 2
Then: [tex]\frac{3}{4}[/tex] x = [tex]\frac{29}{12}[/tex]
Answer: x = [tex]\frac{29}{9}[/tex] —> 9x = 29
—-
Have a nice day!!
Margot has 8 kilograms of apples.how many liters Of apple juice can Margot make. How do l do this?????
Answer:
so about 4?
Step-by-step explanation:
1 kilogram = 1,000 grams
2 kilograms = 2 times 1,000 which equals 2,000 grams
2,000 grams makes one liter
uhh this is just an educated guess...
Determine which expressions represent purely real numbers and which expressions represent non-real complex numbers. -i^2+i^3 7-5i √ 6 0+9i √(-5)^2 -12 2 -7i^2
purely real number
non-real complex number
Purely real numbers are in the form of a+0i, while the Non-real complex numbers are in the form of a+bi.
What are Purely real numbers and Non-real complex numbers?Purely real numbers are in the form of a+0i, while the Non-real complex numbers are in the form of a+bi.
The given expressions can be simplified in the following manner,
[tex]-i^2+i^3 = -(\sqrt{-1})^2+(\sqrt{-1} \times \sqrt{-1} \times \sqrt{-1}) = 1 -i[/tex] 7-5i [tex]\sqrt{-6} = \sqrt{-1 \times 6} = \sqrt{-1} \times \sqrt{6} = 0+ i\sqrt{6}[/tex]i⁶ = (i²)³ = (-1)³ = -1 = -1 +0i0+9i [tex](\sqrt{-5})^2 = (\sqrt{-1 \times 5})^2 = -1 \times 5 = -5+0i[/tex] -12 = -12+0i[tex]2 -7i^2 = 2-7(-1) = 2+7 = 9+0i[/tex]Purely real numbers (a+0i)
-1 +0i-5+0i-12+0i9+0iNon-real complex number (0+bi)
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Answer:
Step-by-step explanation:
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The first three terms of an arithmetic progression are 2x, x+4, 2x - 7 respectively.
a. Find the value of x
b. Find the three terms
(6 m
c. What is the common difference?
Answer:
a) x = 7.5
b) 15, 11.5, 8
c) -3.5
Step-by-step explanation:
As there is a common difference between consecutive terms of an arithmetic progression, then:
[tex]a_3-a_2=a_2-a_1[/tex]
Given:
[tex]a_1=2x[/tex][tex]a_2=x+4[/tex][tex]a_3=2x-7[/tex]Therefore:
[tex]\implies a_3-a_2=a_2-a_1[/tex]
[tex]\implies (2x-7)-(x+4)=(x+4)-2x[/tex]
[tex]\implies 2x-7-x-4=x+4-2x[/tex]
[tex]\implies x-11=-x+4[/tex]
[tex]\implies 2x=15[/tex]
[tex]\implies x=7.5[/tex]
Inputting the found value of x into the term expressions to find the three terms of the arithmetic progression:
[tex]a_1=2(7.5)=15[/tex][tex]a_2=(7.5)+4=11.5[/tex][tex]a_3=2(7.5)-7=8[/tex]The common difference (d) is the difference between each consecutive term. To find the common difference, subtract one term from the next term:
[tex]\implies d=a_3-a_2= 8 - 11.5 = -3.5[/tex]
[tex]\implies d=a_2-a_1= 11.5-15 = -3.5[/tex]
Therefore, the common difference is -3.5
15. Chris can run at a constant speed of 12 km/h. How long will it take him to run from
his home to the park, a distance of 0.8 km?
Remember to check that your answer is reasonable.
Answer:
Step-by-step explanation
1= 12
.8 of 1 = 48
so it should only take him 48 minutes since hes not taking a full hour but 0.8 is two of from an hour
Calculate the volume of this cylinder, giving your answer to 1 decimal place.
Step-by-step explanation:
given radius r =20÷2=10
Height h=9
volume of cylinder
v= πr^2h = 22÷7 ( 10)^2 ×(9)
= 2828.571429.
hence the required volume of cylinder is 2828.571429
Two lines intersect at a point, forming angle 1, angle 2, angle 3, and angle 4.
Angle 1 and angle 3 are vertical angles.
Angle 2 and angle 4 are vertical angles.
m angle1 = 70
What is the measure of angle 2?
O 20°
O 70°
O 90°
O 110°
which of the follow r-values represents the no or low coorelation
The r-value that represents the no or low correlation is 0.0
How to determine the r-value?For a r value to show no correlation, then the r value must be 0 or close to 0
Since the r values are not given, then we can assume that the r value is 0
Hence, the r-value that represents the no or low correlation is 0.0
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Urgent help!!!
Write equation in slope intercept form.
1.25 (25) = 31.25
The equation in slope intercept form is,[tex]31.25 = 1.25 \times 25 +0[/tex]. The given equation is obtained by comparing the standard equation of the straight line.
What is a slope of a straight line?
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The given equation is;
1.25 (25) = 31.25
31.25=1.25 (25)
The standard equation of the slope intercept form. is;
[tex]\rm y = mx +x[/tex]
On comparing the given equation with the above equation, we get;
y=31.25
m=1.25
x=25
c=0
The equation in slope intercept form is;
[tex]31.25 = 1.25 \times 25 +0[/tex]
Hence, the above equation is the slope intercept form.
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If my grade is currently a B, 86% and I get a 50% or higher on a test has 100 questions and that is 30 percent of my grade, what will my grade be?
Answer:
like a 85 hop this helps I'm so sorry have a good day stay safe
Answer:
your grade will be 166%.
Step-by-step explanation:
First I subtract 86-50=36.
second I add 100+30=130.
total is 130+36=166%
Help please I don’t get this one
Answer:
[tex]P = 8\pi[/tex]
Step-by-step explanation:
To solve this problem, we must calculate the circumference of one circle and multiply it by two because there are 2 circles (4 halves), that make up the perimeter.
We know the diameter is 4m, thus, the circumference of one circle (two halves) is:
[tex]C_1 = \pi d\\C_1 = \pi 4[/tex]
To get the total perimeter (circumference) multiply the result by 2:
[tex]C = C \times 2\\C = 4\pi \times 2\\C = 8\pi[/tex]
A budget splits the money available each month between departments A, B and C in the ratio 4:2:3. 1.1 If the total amount available in the budget is R 450 000 for the upcoming month, how much will department B have available?
Answer:
B = R 100 000
Step-by-step explanation:
B will be 2 out of 4 + 3 + 2 = 2/9 of the total
2/9 * 450 000 = 100 000
What is the approximate value of X?! Help ASAP please
Triangles are similar
x/5=12/1313x=60x=60/13x=4.615x=4.62Option E
Answer:
Both of the triangles are similar but they look like they have been rotated a bit. Sides x is similar to 12 and side 5 (the hypotenuse) is similar to 13. Therefore we can just set up an equation and cross-multiply.
[tex]\frac{x}{5} = \frac{12}{13}[/tex]
[tex](x * 13) = (5 * 12)[/tex]
[tex]13x = 60[/tex]
Divide 12 from both sides
[tex]13x/13 = 60/13[/tex]
[tex]x=4.615[/tex]
Best option would be Option E, 4.62
Jesse measured a farm and made a scale drawing. The scale of the drawing was 1 centimeter = 4 meters. If the actual width of the goat pen is 8 meters, how many centimeters wide is the goat pen in the drawing?
how many ways can 3 city council members from a list of 20 candidates be selected
what is the slope of the line
Answer:
Step-by-step explanation:
(0, 2) (2, 0)
(0-2)/(2-0)= -2/2= -1
y - 2 = -(x - 0)
y - 2 = -x + 0
y = -x + 2
Find the factor of each ff.
8t²-16t-4
Answer:
For me, this quadratic expression can simply be factored by 4 because all the values divide by four. so:
[tex]4( {2}t^{2} - 4t - 1)[/tex]
Step-by-step explanation:
Just factor it by 4
Answer:
4(2t^2 - 4t - 1)
Step-by-step explanation:
8t²-16t-4
= 4(2t^2 - 4t - 1)
2t^2 - 4t - 1 is prime so there are no more factors.
i need this answer as fast and soon as possible
Answer:
1.732
Step-by-step explanation:
now bsf yall know........
Answer:
24 - 14.4b
Step-by-step explanation:
