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Related Questions
Solve the following equation.
x
5
+
64
x
2
=
0
x
5
+64x
2
=0
Answers
The value of x in the equation x⁵ + 64x² = 0 is x = 0 or x = -8 after taking common.
What is a polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
It is given that the polynomial equation is:
x⁵ + 64x² = 0
x²(x³ + 64) = 0
x² = 0 or x³ + 64 = 0
x = 0 or x³ = -64
x = 0 or x = -8
Thus, the value of x in the equation x⁵ + 64x² = 0 is x = 0 or x = -8 after taking common.
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What are the next two terms after -13, 8, -5, 3,-2
Answers
The next two terms in the sequence, -13, 8, -5, 3,-2 is 1 and -1.
What are the next two terms?The mathematical operations that would be used to determine the next two terms are addition and subtraction. Addition is used to determine the sum of two or more numbers. Subtraction is used to determine the difference between two or more numbers.
The first step is to determine the relationship between the numbers in the sequence. Looking at the numbers, it can be seen that the the difference between the first number and the second number gives the third number.
-13 + 8 = -5
-5 + 3 = -2
3 - 2 = 1
-2 + 1 = -1
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Write an expression for the sequence of operations described below.
triple u, multiply v by the result, then multiply what you have by t
Answers
3u(v)(t)
Find the first derivative.
Answer: y’ = 2/3 x^1/2 - 2/ sqrt of x - 5/2x^2/3
I’m given an answer but don’t know how to get it.
Answers
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{ \sqrt{x} (2x - 4) -( \frac{{x}^{2} - 4x + 5) }{2 \sqrt{x} } )}{x } [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{ {x}^{2} - 4x + 5 }{ \sqrt{x} } [/tex]
We know, division rule of differentiation :
[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{u}{v} [/tex]
then,
[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{v\frac{du}{dx} - u \frac{dv}{dx} }{(v) {}^{2} } [/tex]
So, let's do the same in given equation :
[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{ \sqrt{x} \frac{d}{dx}(x {}^{2} - 4x + 5) - ( {x}^{2} - 4x + 5) \frac{d}{dx}( \sqrt{x} ) }{( \sqrt{x} ) {}^{2} } [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{ \sqrt{x} (2x - 4) -( {x}^{2} - 4x + 5) \frac{1}{2 \sqrt{x} } }{x } [/tex]
[ This is the required Answer, but you can simplify it however you want according to the choices given ]
[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{x \bigg( \frac{\sqrt{x} (2x - 4)}{x} -( {x}^{2} - 4x + 5) \frac{1}{2x \sqrt{x} } \bigg)}{x } [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{\sqrt{x} (2x - 4)}{x} -( {x}^{2} - 4x + 5) \frac{1}{2x \sqrt{x} } [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{(2x - 4)}{ \sqrt{ x}} - \frac{( {x}^{2} - 4x + 5) }{2 \sqrt{x {}^{3} } }[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
number of odd number outcomes when a die is rolled
Answers
Answer:
Explanation:
A die has 6 faces numbered 1 to 6.
The sample space when a die is rolled is:
[tex]\lbrace1,2,3,4,5,6\rbrace[/tex]Thus, the number of odd number outcomes when a die is rolled is:
Kate paid 2.50 for 8 juice boxes how much should kate be expected to pay for 24 juice boxes
Answers
2.50 x 24= 60 for 24 juice boxes .
====================================================
Work Shown:
(2.50 dollars)/(8 juice boxes) = (x dollars)/(24 juice boxes)
2.50/8 = x/24
2.50*24 = 8x
60 = 8x
8x = 60
x = 60/8
x = 7.50
----------------
Another approach:
She paid $2.50 for 8 juice boxes. The unit price is 2.50/8 = 0.3125 dollars per juice box. Multiply this by 24 to get 24*0.3125 = 7.50
----------------
Yet another method:
We know the cost for 8 juice boxes is $2.50
We want to know the cost for 24 juice boxes.
The jump from 8 to 24 is "times 3". So we'll multiply the $2.50 cost by 3 to get 3*2.50 = 7.50
We can think of it like this
[tex]\frac{2.50 \ \text{dollars}}{8 \ \text{juice boxes}}=\frac{3*2.50 \ \text{dollars}}{3*8 \ \text{juice boxes}}=\frac{7.50 \ \text{dollars}}{24 \ \text{juice boxes}}[/tex]
Find an equation to represent a line that goes through (1, 10) and (2, 8).
Answers
y = -2x + 12 is the linear equation of the line that passes through the coordinates of points (1, 10) and (2, 8).
What is the equation of line with the given coordinates?The formula for equation of line is expressed as;
y = mx + b
Where m is slope and b is y-intercept.
The slope of a line is expressed as change in y over change in x.
Slope m = (y₂-y₁)/(x₂-x₁)
Given the data in the question;
Point 1 ( 1, 10 )
x₁ = 1y₁ = 10Point 2 ( 2, 8 )
x₂ = 2y₂ = 8First, we determine the slope of the line.
Slope m = (y₂-y₁)/(x₂-x₁)
Slope m = ( 8 - 10 )/( 2 - 1 )
Slope m = (-2)/( 1 )
Slope m = -2
Now, determine the y-intercept b, by substituting the slope and the coordinates of one point into the equation of line formula.
y = mx + b
10 = -2(1) + b
Solve for b
10 = -2 + b
b = 10 + 2
b = 12
Now that we have the slope m and y-intercept b, plug these into y = mx + b to determine the equation of the line.
y = mx + b
y = -2(x) + 12
y = -2x + 12
Therefore, the equation of the line that goes through the given points is y = -2x + 12.
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For whom would a car loan be a better option than a car lease?
A.
Kate frequently changes her cars, constantly switches professions, and detests selling and trading cars.
B.
Brian likes the feeling of owning his own car. He takes good care of it and doesn't like changing cars often.
C.
Joe hates the idea of maintaining his car. He prefers to have a car that is always under warranty.
Answers
Brian likes the feeling of owning his own car. He takes good care of it and doesn't like changing cars often is whom a car loan would be a better option than a car lease and is denoted as option B.
What is a Car loan?This is referred to as the total money borrowed which is used in the purchase of a car while on the other hand car lease involves the vehicle being made available to be driven for certain period of time or limit.
Since Brian likes the feeling of owning his own car and doesn't change cars often, then the car loan is best for him as it becomes his after the money or amount to be repaid is completed.
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Please help I’ll mark you as brainliest if correct!
Answers
Answer:
A is 729,2187,6561 and it would be geometric
B is 46,55,64 and is arithmetic
C is 32,36,40 and is arithmetic
how could you use a graph of a proportional relationship to find any ratio in the the proportional relationship why does this work?
Answers
It should be emphasized that a connection is proportional if its graph is a line that passes through its origin.
How should the information be illustrated?If the graph of a connection is a line passing through the origin, the connection is proportionate. If it is not a line or ray that fails to achieve this, the ratio is not proportional.
The equation for the proportionality constant is K = y/x. This is the same equation used to get the slope of a straight line with respect to the origin.
If the graph of a connection is a line or ray that goes through the origin, the relationship is proportional. If the line or ray does not pass through the origin, it is not proportional.
Additionally, if anything is not linear, it is not proportional.
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(b)A sight-seeing ship is stopped in the water for an hour, miles from the shore. Then the captain heads the ship back to the shore at a constant rate. The ship docks at shore for awhile, then returns to the open sea
Answers
Solution:
Given that a sight-seeing ship is stopped in the water for an hour, miles from the shore. Then the captain heads the ship back to the shore at a constant rate. The ship docks at shore for awhile, then returns to the open sea.
This implies that that:
ਦੀ ਲੋੜ ਹੀ I — I — Alls – PRAAT
Answers
The given polynomial is:
[tex]30x^3-13x^2-40x-12[/tex]Substitute x = -2/5 into the expression:
[tex]30\left(-\frac{2}{5}\right)^3-13\left(-\frac{2}{5}\right)^2-40\left(-\frac{2}{5}\right)-12=0[/tex]Therefore by the remainder theorem x = -2/5 is a root.
[tex]\begin{gathered} x=-\frac{2}{5} \\ multiply\text{ both sides by 5} \\ 5x=-2 \\ 5x+2=0 \end{gathered}[/tex]Hence, the factor is
5x + 2
A
Answer:
A
Step-by-step explanation:
[tex]{ \tt{ {30x}^{3} - {13x}^{2} - 40x - 12}}[/tex]
- For a value to be a factor of a function, the function range must be zero if the factor is substituted into it.
Testing with 5x+2
[tex]{ \tt{5x + 2 = 0}} \\ { \tt{x = - \frac{2}{5} }}[/tex]
Therefore;
[tex]{ \tt{ = 30( - \frac{2}{5}) {}^{3} - 13( - \frac{2}{5} ) {}^{2} - 40( - \frac{2}{5}) - 12 }} \\ \\ = { \tt{0}}[/tex]
hence 5x + 2 is a factor
During the month, Fisher Company's Work in Process inventory account was credited for $120,500, which represented the Cost of Goods Manufactured for the month. Only one job remained in process on May 31; this job had been charged with $9,600 of applied overhead cost. The amount of direct materials cost in the unfinished job would be:
Answers
The amount of direct materials cost in the unfinished job would be $97600.
What is direct material cost?The price of direct materials is directly related to the unit of production and is immediately identifiable. For instance, the price of glass is a direct material expense in the production of light bulbs. The primary component needed for the production of commodities or products was material. Costs of raw materials or components used directly in the production of goods are referred to as direct material costs. For instance, if Company A manufactures toys, the cost of the plastic used to build the toys would be an example of a direct material cost.
Given Data
Work in Process inventory account was credited for $120,500.
charged with $9,600 of applied overhead cost.
Direct material cost = Work in progress - Overhead cost - Direct labor
Direct labor = 9600 ×[tex]\frac{100}{75}[/tex]
Direct labor = 12800
Direct material cost = 120000 - 9600-12800
Direct material cost = 97600
The amount of direct materials cost in the unfinished job would be $97600.
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A circular disc has a circumference of 141 meters. If we multiply the radius of the circular disc by 12, what will be the circumference of the new disc? OA) 168 m OB) 248 m OC) 4147 m OD) 352 m
Answers
PLEASE HELP ASAP Solve for y, z, x, or t: z-a=z/b if b does not equal 1
Answers
On solving the equation z-a = z/b if b≠1 , for z we get z=ab/(b-1) .
in the question ,
the equation is given as
z-a = z/b
adding "a" to both the sides
we get
z-a+a = z/b + a
z = z/b + a
subtracting z/b from both the sides , we get
z - z/b [tex]=[/tex] z/b - z/b + a
z - z/b = a
taking z common
z(1-1/b) = a
taking LCM as b and solving further , we get
z (b-1)/b = a
on cross multiplication we get
z = ab/(b-1)
Therefore , on solving the equation z-a = z/b if b≠1 , for z we get z = ab/(b-1) .
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Sonya drinks a 32 oz energy drink containing 80 calories per 12 oz how many calories did she drink
Answers
Answer:
213
Step-by-step explanation:
First we decide how many ounces 12 has in 32 (2.6)
Then we multiply 2.6 to 80 calories and get 213 calories
When a number is added to 20 and 5 is subtracted from the number, their product is 150. Find the two possible numbers.
Answers
Answer:
24 ajsndkalxndma skwma wjlslaos ndnajala
Can someone help me with exterior angle theorem?
Answers
According to the exterior angle theorem, an external angle's measure is equal to the sum of its remote interior angle's two measurements. The opposite interior angles are another name for the remote interior angles. Where can I determine a triangle's outer angle? In a triangle, how can I determine the interior and outside angles?
Take the total of two interior angles of a triangle that are known and deduct it from 180 to find the internal angle of the triangle.
Simple addition of the triangle's two opposite internal angles will yield the triangle's external angle. 180° minus the inside angle equals each exterior angle. Using this formula requires the knowledge of the corresponding internal angle. Exterior angle = Total.
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I need help on this :)
Answers
Explanation
We are given the following equation:
[tex]x^2=-12[/tex]We are required to determine the solution of the given equation.
This is achieved thus:
[tex]\begin{gathered} x^2=-12 \\ \text{ Square root both sides} \\ x=\pm\sqrt{-12} \\ \text{ We know that }\sqrt{-1}=i \\ x=\pm\sqrt{3\times4\times-1} \\ x=\pm\sqrt{3}\times2\times i \\ x=\pm2\sqrt{3}i \\ x=-2\sqrt{3}i\text{ }or\text{ }2\sqrt{3}i \end{gathered}[/tex]The only solution to this equation involves complex numbers. So, there is no real solution.
Hence, the answer is:
[tex]No\text{ }solution[/tex]Exponential Growth and Decay : Growth Formula : y = a(1 + r)', Decay Fórmula: y = a(1 – r) 1. Suppose you deposited $5,500.00 at a bank with an annual interest rate of 5%. What would be the amount in the bank after 20 years?
Answers
in this case we have that it is growth formula, so we have that r= 0.05 and a =5500. Therefore the formula is
[tex]y=5500\cdot(1.05)^t[/tex]we only need to replace t by 20 and calculate
[tex]y=5500\cdot1.05^{20}=14593.13[/tex]so after 20 years we hace $14593.13 in our bank account
Set up a proportion and solve.
Find the cost of 3 scarves if 2 scarves cost $22.80.
Answers
Answer:
Proportion: 22.80/2=x/3
x= 34.20
Step-by-step explanation:
First find what the value of one scarf is:
22.80/2=11.40
Then multiple by 3 to get $34.20
Answer:
Proportion : 1 scarf = $11.40
Cost of 3 scarves = $34.20
Step-by-step explanation:
GIVEN: 2 SCARVES = 22.80
LET X = # OF SCARVES
2X=22.80
X=$11.40
$11.40(3) = cost of 3 scarves
$34.20 = cost of 3 scarves
I need help with the 16
Answers
NSWER
EXPLANATION
In a isometry the distances between points are conserved, so the image of segment PQ has to have the same length as segment PQ.
When we have a translation defined by a vector the x-coordinate of the vector tells the horizontal translation and the y-coordinate the vertical translation.
For this problem, if the vector is <3, 5>, we have to translate each point 3 units to the right and 5 units up.
[tex]Q(-2,-2)\to Q^{\prime}(-2+3,-2+5)=(1,3)[/tex][tex]P(-4,-4)\to P^{\prime}(-4+3,-4+5)=(-1,1)[/tex]The endpoints of the image segment are Q'(1, 3) and P'(-1, 1)
Which of the following numbers could not be used to describe a distance walked? O 19 feet 0-140 feet 0 -125 feet 12 feet
Answers
NSWER
140 Ffeet
EXPLANATION
istance is an absolute value wquantity, so it is expressed either as a positive value or an absolute value of a negative number.
What is the slope of a line perpendicular to the line whose equation is 3x-12y=-108
Answers
Answer:
-4
Step-by-step explanation:
Given:
Equation of line is 3x-12y = -108.To Find:
Slope of line perpendicular to the given line.Concept used:
For a line ax+by+c = 0 , the slope is equal to -a/b.Slope of a line perpendicular to a line say ax+by+c = 0 will be b/a.For the given equation, we have
a = 3, b = -12 and c = 108
So, Slope of line perpendicular to given line = -12/3 = -4
So, the slope of required line is -4.
The slope of a line perpendicular to the line whose equation 3x - 12y = - 108 will be negative 4.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equation is given below.
3x - 12y = - 108
Convert the equation into a slope intercept, then we have
3x - 12y = - 108
12y = 3x + 108
y = (1/4)x + 9
The product of the slopes of the perpendicular line will be a negative one. Then we have
(1/4)m = -1
m = - 4
The slope of a line perpendicular to the line whose equation 3x - 12y = - 108 will be negative 4.
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Solve simultaneously:y = 5x + 210y - 50x = 20
Answers
ANSWER
Infinitely many solutions (0 = 0)
EXPLANATION
We have the two equations and we are to solve them simultaneously.
We have:
y = 5x + 2 ___(1)
10y - 50x = 20 ___(2)
Put (1) in (2):
We have that:
10(5x + 2) - 50x = 20
50x + 20 - 50x = 20
=> 50x - 50x = 20 - 20
=> 0 = 0
This kind of solution implies that there are infinitely many solutions to this equation.
The cholesterol levels of an adult can be described by a normal model with a mean of 185 mg/dL and a standard deviation of 29. What percent of adults do you expect to have cholesterol levels over 190 mg/dL?
Answers
Given
mean = 185 mg/dL
standard deviation = 29
Required: The percent of adults that have cholesterol levels over 190 mg/dL
Step 1: Find the z-score for the given cholesterol level using the formula:
[tex]\begin{gathered} z\text{ = }\frac{x\text{ - }\mu}{\sigma} \\ Where\text{ }\mu\text{ is the mean} \\ and\text{ }\sigma\text{ is the standard deviation} \end{gathered}[/tex]Substituting the given values:
[tex]\begin{gathered} z\text{ = }\frac{190-\text{ 185}}{29} \\ z\text{ = 0.1724} \end{gathered}[/tex]Step 2: Using a normal distribution table, find the probability of a random value greater than 0.1724
[tex]P(x\text{ >}0.1724)\text{ = 0.43156}[/tex]Step 3: Convert to percent by multiplying by 100%
[tex]\begin{gathered} =\text{ 0.43156 }\times\text{ 100} \\ =\text{ 43.156}\% \\ \approx\text{ 43.2\%} \end{gathered}[/tex]Hence, the percent of adults that should have a cholesterol level greater than 190 mg/dL is 43,2%
Type a paragraph in which you use at least two linking commas, two semicolons, and one colon.
Need two commas (,,)
two semicolons (;;)
one colon (:)
and not run on sentences and of course put period.
Answers
There are numerous advantages of involving oneself in sports. First and foremost, as known by all and very definitively, competitions increase the physical fitness of an individual. Additionally, sports also contribute to building stable mental well-being of a person. Various researchers show that people who are in the daily practice of sports in any form record better mental as well as physical health. Moreover, sports also eliminates the risk of a person catching diseases or facing any bodily interruptions. Competitions increase immunity and increase people’s stamina.
A cylindrical bucket contains 314 cubic inches of water. the height of the water is 4 inches. What is the radius of the bucket, to the nearest whole number
Answers
The radius of the cylindrical bucket which contains 314 cubic inches of water and 4 inch height of water is 5 inches.
What is the radius of the cylindrical bucket?A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )
Given the data in the question;
Volume V = 314 in³Height h = 4 inRadius r = ?To determine the radius r, plug the given values into the volume formula above and solve r.
V = π × r² × h
314 in³ = 3.14 × r² × 4
314 in³ = r² × 12.56 in
Divide both sides by 12.56 in
r² = 314 in³ / 12.56 in
r² = 25 in²
Take the square root of both sides
r = √( 25 in² )
Radius r = 5 in
Therefore, the radius r of the cylindrical bucket is 5 inches.
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When $\dfrac{2}{13}$ is written as a decimal, what is the $2000^\text{th}$ digit after the decimal point?
Answers
The 2000th digit after the decimal point is 5. See the explanation below.
What is the explanation that resolved the above problem?
First, we divide the fraction to get the decimal number.
2/13 = 0.15384615384
Paying close attention, you'd notice that after the 6th number forms the decimal point, the number forms a loop that repeats again. That is:
0.153846 153846 154...
Hence, to detect the 2000th number,
we divide 2000/6
we are left with 2
(that is 333 x 6 = 1998)
Hence we count two from the decimal and that gives us the 2000th digit.
That is: 5
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Full Question:
[tex]When $\dfrac{2}{13}$ is written as a decimal, what is the $2000^\text{th}$ digit after the decimal point?[/tex]
Mr. rivas bought 12 tickets to the high school drama production and spent $40. he purchased a combination of child tickets for $2 each & adult tickets for $6 each, write a system of equations to determine the number of child’s tickets (x) and adult tickets (y) he bought , the solve this system using any method you’d like.
Answers
Answer:
x = 8, y = 4
This can also be written as an ordered pair: (8, 4)
Step-by-step explanation:
First, set up a system of equations:
x + y = 12, $2x + $6y = $40
The first equation shows that there are a total of 12 tickets, and the other shows that the total of money for all the tickets adds to $40.
Then, solve by elimination by subtracting twice the first equation from the second to isolate y:
2x + 6y = 40
- (2x + 2y = 24)
0 + 4y = 16
And now we can solve for y:
4y = 16
y = 4
Then, put this back into the original equation to solve for x:
x + y = 12
x + 4 = 12
x = 8