Answer:
base: 4
exponent: 3
numerator: 1
denominator: 64
Step-by-step explanation:
4^4 * 4^-2: Here you subtract 2 from 4 (just basic rules)
so you get 4^2/4^5
4^2/4^5: you subtract 5 from 2 (also basic rules)
then you would get 4^-3
To put in positive exponents you do 1/4^3
which gets you 1/64
During a sale, a store offered a 25% discount on a tablet computer that originally sold
for $320. After the sale, the discounted price of the tablet computer was marked up
by 25%. What was the price of the tablet computer after the markup? Round to the
nearest cent.
Answer:
304
Step-by-step explanation:
x/760 40/100=
760x40=30,400
30,400 divided by 100=304
Answer: she/he is wrong.
Step-by-step explanation:
no offence.
Help me please I’ll give brainliest if your correct
To find the selling price that will yield the maximum profit, we need to find the vertex of the quadratic function given by the profit equation y = -5x² + 286x - 2275.The x-coordinate of the vertex can be found using the formula:
x = -b/2a
where a = -5 and b = 286.
x = -b/2a
x = -286/(2(-5))
x = 28.6
So, the selling price that will yield the maximum profit is $28.60 (rounded to the nearest cent).
Therefore, the widgets should be sold for $28.60 to maximize the company's profit.
Hope I helped ya...
Answer:
29 cents
Step-by-step explanation:
The amount of profit, y, made by the company selling widgets, is related to the selling price of each widget, x, by the given equation:
\(y=-5x^2+286x-2275\)
The maximum profit is the y-value of the vertex of the given quadratic equation. Therefore, to find the price of the widgets that maximises profit, we need to find the x-value of the vertex.
The formula to find the x-value of the vertex of a quadratic equation in the form y = ax² + bx + c is:
\(\boxed{x_{\sf vertex}=\dfrac{-b}{2a}}\)
For the given equation, a = -5 and b = 286.
Substitute these into the formula:
\(\implies x_{\sf vertex}=\dfrac{-286}{2(-5)}\)
\(\implies x_{\sf vertex}=\dfrac{-286}{-10}\)
\(\implies x_{\sf vertex}=\dfrac{286}{10}\)
\(\implies x_{\sf vertex}=28.6\)
Assuming the value of x is in cents, the widget should be sold for 29 cents (to the nearest cent) to maximise profit.
Note: The question does not stipulate if the value of x is in cents or dollars. If the value of x is in dollars, the price of the widget should be $28.60 to the nearest cent.
Let r = ⟨7, 1⟩, s = ⟨–6, 2⟩, and t = ⟨–9, –3⟩. What is 10r + s – t? ⟨55, 9⟩ ⟨55, 15⟩ ⟨73, 6⟩ ⟨73, 15⟩
Answer: d. 73,15
Step-by-step explanation:
10r + s -t = ⟨73, 15⟩
What are coordinates?Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane.
Given:
r = ⟨7, 1⟩, s = ⟨–6, 2⟩, and t = ⟨–9, –3⟩.
10r + s -t
=10(7,1 ) + (-6, 2) - (-9, -3)
=(70 - 6 + 9 , 10 + 2 + 3)
= (73, 15)
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in one town, 35% of all voters are democrats. if two voters are randomly selected for a survey, find the probability that they are both democrats. round to the nearest thousandth if necessary.
The probability that both randomly selected voters are Democrats is approximately 0.123.
To find the probability that both randomly selected voters are Democrats, we can use the concept of independent events.
Given that 35% of all voters in the town are Democrats, the probability of selecting a Democrat for the first voter is 0.35. Since the events are independent, the probability of selecting another Democrat for the second voter is also 0.35.
To calculate the probability that both events occur, we multiply the probabilities together:
Probability of both voters being Democrats = 0.35 * 0.35 = 0.1225
Rounding to the nearest thousandth, the probability that both randomly selected voters are Democrats is approximately 0.123.
Therefore, the probability that both voters selected for the survey are Democrats is approximately 0.123 or 12.3% (rounded to the nearest thousandth).
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5 A cell phone company is offering 2 different monthly plans. Each plan charges a monthly fee pulls an additional cost per gigabyte of data
used.
Plan A: $50 fee plus $7.50 per gigabyte of data
Plan B: $60 fee plus $5.00 per gigabyte of data
Answer:
What are you tring to figure out? How many gigabytes?
Step-by-step explanation:
i need help with biconditnoal statement for the conditional statement
if a figure extends in only one direction, then it is a ray
How to do u substitution with indefinite integrals.
The corresponding differential element, rewrite the integral in terms of the new variable, integrate with respect to the new variable, replace the new variable with the original variable, and simplify the expression to find the solution.
To perform u-substitution with indefinite integrals, follow these steps:
Identify a suitable substitution: Look for a part of the integrand that resembles the derivative of a function. Choose a variable u to substitute for that part.
Calculate du: Take the derivative of u with respect to the original variable. This will help us express du in terms of the original variable.
Rewrite the integral: Substitute the chosen variable and du in the original integral, replacing the part to be substituted with u and the corresponding differential element du.
Integrate with respect to u: Treat the integral as a new integral with respect to u. Evaluate the integral using the rules of integration.
Replace u with the original variable: Rewrite the result of the integration in terms of the original variable.
Simplify and solve: If necessary, simplify the expression further or perform additional algebraic manipulations to obtain the final result.
Let's illustrate these steps with an example:
Consider the integral ∫(2x + 3)² dx.
Identify a suitable substitution: Let u = 2x + 3.
Calculate du: Take the derivative of u with respect to x: du/dx = 2. Rearrange the equation to solve for du: du = 2 dx.
Rewrite the integral: In terms of u and du, the integral becomes ∫u² (du/2).
Integrate with respect to u: Treat the integral as a new integral with respect to u: (1/2) ∫u² du = (1/2) * (u³/3) + C, where C is the constant of integration.
Replace u with the original variable: Substitute back u = 2x + 3 in the result: (1/2) * ((2x + 3)³/3) + C.
Simplify and solve: Further simplify the expression if necessary to obtain the final result.
In summary, to perform u-substitution with indefinite integrals, identify a suitable substitution, calculate the corresponding differential element, rewrite the integral in terms of the new variable, integrate with respect to the new variable, replace the new variable with the original variable, and simplify the expression to find the solution.
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HEY CAN ANYONE PLS ANSWER DIS MATH PROBLEM!
I give Brainlliest! 15 pionts!
Write the decimal as a percent.
0.768 =
Answer:
76.8%
Step-by-step explanation:
All you have to do is multiply the decimal by 100.
Answer:
76.8%
Step-by-step explanation:
I just did a thing and got the answer -v-
maria made a cubical tank which can hold 42875 cubic meter of water. what is the height of the tank
Answer:
35 meters
Step-by-step explanation:
Since it's a cubical tank, its height, width and length are equal.
\(\sqrt[3]{42875}=35\)
if a person invests $290 at 6% percent annual interest, find the approximate value of the investment at the end of 15 years
$695.00 would be your answer :)
At a charity fundraiser, each female attendant donated $1,200 and each male attendant donated $800. If the average donation at the fundraiser was $900, what was the ratio of the number of female attendants to the number of male attendants.
Using the mean concept, the ratio of the number of female attendants to the number of male attendants was of 3.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
In this problem:
There were f + m donations.The sum was of 1200f + 800m.The average was of 900.Hence:
\(\frac{1200f + 800m}{f + m} = 900\)
1200f + 800m = 900f + 900m
100m = 300f
\(\frac{f}{m} = 3\)
Hence the ratio was of 3.
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The statue of liberty casts a 122 foot shadow at the same time ryan casts a 2 foot shadow. If the statue of liberty is 305 feet tall how tall is ryan?
Step-by-step explanation:
2 objects and their shadows create 2 similar right-angled triangles.
that means all angles are the same, and the side lengths of one triangle correlate to the corresponding side lengths of the other triangle via the same factor.
so,
122 × f = 2
f = 2/122 = 1/61
therefore, Ryan is
305 × f = 305 × 1/61 = 5 ft
tall.
If the Statue of Liberty is 305 feet tall, Ryan is 5 feet tall.
What is proportion?A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.
Given that,
The length of shadow of Statue of Liberty = 122 foot.
The length of shadow of Ryan = 2 foot.
Also, the height of Statue of Liberty = 305 feet.
Let the height of Ryan = x
To find the value of x,
Use ratio and proportion method,
122 / 305 = 2 / x
x = 2 x 305 / 122
x = 305 / 61
x = 5
The height of Ryan is 5 feet.
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d2+3a+6+a=?
I got confused and I need some help here. . .
I assume that the "d2" was a typo as a problem such as this with 2 variables would require a system of equations.
I also assume that the ? is a typo and will replace it with 0, however you can repeat my steps with whatever it actually it.
I assume that the correct form is 2 + 3a + 6 + a = 0
2 + 3a + 6 + a = 0
Combine like terms
8 + 3a + a = 0
8 + 4a = 0
move 8 to other side
4a = -8
a= -8/4
a = -2*
plug this value of a into the original equation
2 + 3(-2) + 6 + (-2) = 0
The statement is true!
* This probably isn't your answer! Repeat my steps with whatever the value of "?" is.
What are the coordinates of point A?
Answer:
-4,-3
Step-by-step explanation:
Answer: I can't see the 4th answer but i and going to guess it's (-4,-3).
I think you answer is D. (-4,-3).
I hope it's right
Calculate the volume of the Tetrahedron with vertices P(2,0,1),Q(0,0,3),R(−3,3,1) and S(0,0,1) by using 1/6
of the volume of the parallelepiped formed by the vectors a,b and c.
The volume of the tetrahedron with given vertices is 2.
To calculate the volume of the tetrahedron using 1/6 of the volume of the parallelepiped formed by the vectors a, b, and c, we need to find the vectors formed by the given vertices and then calculate the volume of the parallelepiped.
The vectors formed by the given vertices are:
a = PQ
= Q - P
= (0, 0, 3) - (2, 0, 1)
= (-2, 0, 2)
b = PR
= R - P
= (-3, 3, 1) - (2, 0, 1)
= (-5, 3, 0)
c = PS
= S - P
= (0, 0, 1) - (2, 0, 1)
= (-2, 0, 0)
Now, we can calculate the volume of the parallelepiped formed by vectors a, b, and c using the scalar triple product:
Volume of parallelepiped = |a · (b × c)|
where · denotes the dot product and × denotes the cross product.
a · (b × c) = (-2, 0, 2) · (-5, 3, 0) × (-2, 0, 0)
= (-2, 0, 2) · (-6, 0, 0)
= 12
So, the volume of the parallelepiped formed by vectors a, b, and c is 12.
Finally, we can calculate the volume of the tetrahedron:
Volume of tetrahedron = (1/6) * Volume of parallelepiped
= (1/6) * 12
= 2
Therefore, the volume of the tetrahedron is 2.
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Write 2/8 in simplified form
Answer:
1/4
Step-by-step explanation:
because you basically divided by two on
Answer:
1/4 is the answer mark me brainliest
for the arithmetic sequence beginning with the terms {5, 6, 7, 8, 9, 10...}, what is the sum of the first 17 terms? 187 243 221 200 save
Answer:
221
Step-by-step explanation:
5 is the first term, then:
5 + 16 = 21
22 is the last term
5 + 21 = 26
6 + 20 = 26
7 + 19 = 26
.....
.....
12 + 14 = 26
and
13
There are 8 sum of 26 each and 13
Then:
8*26 + 13 = 221
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Simplify the complex numbers using de Moivre's Theorem and match them with their solutions 2(3+1) 2. cos(20°) + sin(20°)] 2[ coo(4)+isin(7)]* (-1+i) -41 (1+1) -16 4+4731 Reset Next
The complex numbers are solved using De Moivre's Theorem and then are matched with their respective solutions.
What is De Moivre's Theorem?
De Moivre's formula, also known as the theorem and identity of de Moivre, says that for any real number x and integer n, holds -
(cos x + i sin x)^n=cos nx + i sin nx
where i is the imaginary unit (i^2 = 1).
Also, [r(cos x + i sin x)]^n = r^n(cos nx + i sin nx) or [r cis x]^n = [r^n cis nx].
The first complex number is (1+i)^5.
Solve using De Moivre's formula -
(1+i)^5 = [√2{(1/√2)+(i/√2)}^5]
=(√2)^5[cos(π/4)+i sin(π/4)]^5
=(√2)^5[cos(5π/4)+i sin(5π/4)]
=(√2)^5[(-1/√2)-(i/√2)]
=4(-1-i)
=-4-4i
The second complex number is (-1+i)^6.
Solve using De Moivre's formula -
(-1+i)^6=(1-i)^6
=[√2{(1/√2)-(i/√2)}^6]
=(√2)^6[cos(-π/4)+i sin(-π/4)]^6
=(√2)^6[cos(-6π/4)+i sin(-6π/4)]
=8(0+1i)
=8i
The third complex number is 2[cos(20)+i sin(20)]^3.
Solve using De Moivre's formula -
2[cos(20)+i sin(20)]^3=2^3[cos(60)+i sin(60)]
=8[(1/2)+{(√3)i/2}]
=4+4√3i
The last complex number is 2[cos(π/4)+i sin(π/4)]^4.
Solve using De Moivre's formula -
2[cos(π/4)+i sin(π/4)]^4=2^4[cos(4π/4)+i sin(4π/4)]
=16[cos(π)+i sin(π)]
=16(-1+i(0)]
=-16
Therefore, the complex numbers are solved using the theorem.
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A variable is normally distributed with mean 9 and standard deviation 2.
a. Find the percentage of all possible values of the variable that lie between 8 and 14.
b. Find the percentage of all possible values of the variable that exceed 5.
c. Find the percentage of all possible values of the variable that are less than
The percentage of all possible values of the variable that are less than is 0.
A variable is normally distributed with mean 9 and standard deviation 2. The percentage of all possible values of the variable that lie between 8 and 14.To find the percentage of all possible values of the variable that lie between 8 and 14, we need to find the z-scores of 8 and 14 first.$$z=\frac{x-\mu}{\sigma}$$For x = 8,$$z=\frac{x-\mu}{\sigma}=\frac{8-9}{2}=-0.5$$For x = 14,$$z=\frac{x-\mu}{\sigma}=\frac{14-9}{2}=2.5$$Now we can find the percentage of all possible values of the variable that lie between 8 and 14 using the standard normal distribution table.$$P( -0.5< z <2.5) = P(z<2.5) - P(z< -0.5)$$$$=0.9938-0.3085 = 0.6853$$Therefore, the percentage of all possible values of the variable that lie between 8 and 14 is 68.53%.The percentage of all possible values of the variable that exceed 5.To find the percentage of all possible values of the variable that exceed 5, we need to find the z-score of 5 first.$$z=\frac{x-\mu}{\sigma}=\frac{5-9}{2}=-2$$Now we can find the percentage of all possible values of the variable that exceed 5 using the standard normal distribution table.$$P(z>-2)=1-P(z< -2)$$$$=1-0.0228=0.9772$$Therefore, the percentage of all possible values of the variable that exceed 5 is 97.72%.The percentage of all possible values of the variable that are less than.To find the percentage of all possible values of the variable that are less than, we need to find the z-score of first.$$z=\frac{x-\mu}{\sigma}=\frac{ - \infty -9}{2}=-\infty$$Now we can find the percentage of all possible values of the variable that are less than using the standard normal distribution table.$$P(z< -\infty)=0$$Therefore, the percentage of all possible values of the variable that are less than is 0.
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Need help with this PLEASE NEED HELP ASAP
What is the volume and the surface area of the right solid whose base is shown
if the sides are 1 foot high? What is the volume of a cone that has the same base
and the same altitude? Dimensions are in feet.
The volume of the cone = 0.262 feet³.
What is cone?The word "cone" is derived from the Greek word "konos," which denotes a peak or a wedge. Apex and base both refer to the pointy end, which is referred to as the apex. A cone is a three-dimensional geometric structure with a smooth transition from a flat, generally circular base to the apex or vertex, a point that creates an axis to the base's center.
Given that,
base of the cone = 1 foot
thus, radius (r) = 0.5 foot
altitude = 1 foot
thus, volume (V) = 1/3 πr²h
or, V = 1/3 π × (0.5)² × 1
or, V = 0.262 feet³
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Help me with this question please
Answer:
x- axis , quadrant 2 , quadrant 3
Step-by-step explanation:
(9.5, 0 ) ← is located on the x- axis
(- 4, 7 ) ← is located in Quadrant II
(- 1, - 8 ) ← is located in Quadrant III
What is the value of this expression when n = -6?
Answer:
B
Step-by-step explanation:
that means we put -6 into every place, where n is showing in the expression, and then we simply calculate.
cubic root(4n - 3) + n
n = -6
cubic root(4×-6 - 3) - 6 = cubic root(-27) - 6 =
= -3 - 6 = -9
for the problem of approximating the probability of a 6 in rolling a die, a. identify an appropriate family of distributions;
The appropriate family of distributions to approximate the probability of rolling a 6 on a fair die is the discrete uniform distribution, which assumes equal probabilities for each outcome. In this case, the probability of rolling a 6 would be approximately 1/6 based on the assumption of fairness.
For the problem of approximating the probability of rolling a 6 on a fair die, an appropriate family of distributions to consider is the discrete uniform distribution.
The discrete uniform distribution is commonly used to model situations where each outcome has an equal probability of occurring. In the case of rolling a fair die, the die has six equally likely outcomes (numbers 1 to 6).
Each outcome has a probability of 1/6 of occurring, making the discrete uniform distribution a suitable choice.
By assuming a discrete uniform distribution, we can assign equal probabilities to each outcome (1/6 for rolling a 6) and approximate the probability of rolling a 6 based on the assumption of fairness.
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B
1
M INTY
-2
Ta
P
A
2
-2
C
2
D
X
Which figure represents the image of trapezoid LMNF
after a reflection across the x-axis?
O figure A
Ofigure B
O figure C
O figure D
The coordinate of the trapezoid LMNF after a reflection across the x-axis are L = (-2, -3), M = (-2, -6), N = (-1, -6) and F = (-1, -4).
The answer is A.
How to find the figure represents the image of trapezoid LMNF after a reflection across the x-axis?
The reflection across the x-axis transforms a point in the plane to its mirror image with respect to the x-axis. Given the coordinates (x, y) of a point in the plane, the coordinates of its reflection across the x-axis are given by (x, -y).
The coordinate of the trapezoid LMNF before a reflection is:
L = (-2, 3)
M = (-2, 6)
N = (-1, 6)
F = (-1, 4)
Thus, the coordinate of the trapezoid LMNF after a reflection will be:
L = (-2, -3)
M = (-2, -6)
N = (-1, -6)
F = (-1, -4)
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The function y = 10 + 2.25(x - 4) can be used to determine the cost in dollars for a taxi ride of
x miles. What is the rate of change of the cost in dollars with respect to the number of miles?
F $4 per mile
G $12.25 per mile
H $10 per mile
J $2.25 per mile
The Earth and Neptune both orbit the sun. Earth orbits the sun _____ times for each time Neptune orbits.
Answer:
165
Step-by-step explanation:
Answer: Neptune makes a complete orbit around the Sun (a year in Neptunian time) in about 165 Earth years (60,190 Earth days).
Step-by-step explanation:
ez pls just osmoene help
Which answer below represents the following mixed radical written as an entire radical?
3a2b3 18a7b113
Select one:
a. 486 a13b20 3
b. 45 a13b20 3
c. 54 a9b14 3
d. a 54 a3b14 3
WEGNERKOLMP PLEASE ANSWER THIS MATH QUESTION !!! 20 POINTS AND BRAINLIEST !!
Answer:
c tomato 2.5
pepper = 3.5
Step-by-step explanation:
Let t= the price of tomato plants
p =the price of pepper plants
3t+ 4p = 21.50
5t+ 2p = 19.50
Multiply the second equation by -2
-10t -4p =-39
Add this to the first equation to eliminate p
-10t -4p =-39
3t+ 4p = 21.50
---------------------
-7t = -17.5
Divide by -7
t = 2.5
Now find p
5t+ 2p = 19.50
5( 2.5) + 2p = 19.50
12.5+2p = 19.50
Subtract 12.5 from each side
2p =7
p =3.5
We want the price of 1 tomato and 1 p
3.5+2.5
Answer:
C
Step-by-step explanation:
Let t = price of tomato plants
and p = price of pepper plants
3t + 4p = 21.50 ...... (1)
5t + 2p = 19.50 ..... (2)
Multiplying eqn. (2) by - 2
(5t + 2p) * (- 2) = (19.50) * (- 2)
- 10t - 4p = - 39
-10t - 4p = - 39
3t + 4p = 21.50
____________
-7t = -17.5
t = 2.5
Putting t = 2.5 in eqn. (2), we get:
= 5 * (2.5) + 2p = 19.50
12.5 + 2p = 19.50
2p = 7
= 3.5
Price of one tomato and one pepper plant = 3.50 + 2.50