Answers
Step-by-step explanation:
pick me as the brainliest. thx
Related Questions
Identify the initial amount a and the rate of decay r (as a percent) of the exponential function y=575(1-0.6)^t. Evaluate the function when t=3 . Round your answer to the nearest tenth.
Answers
The required simplified value of the function when t= 3 is y = 36.8.
To Identify the initial amount a and the rate of decay r (as a percent) of the exponential functionⁿ.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
Given expression,
\(y=575(1-0.6)^t\)
put t = 3
y=575(1-0.6)³
y = 36.8
Thus, the required simplified value of the function when t= 3 is y = 36.8.
learn more about function here:
brainly.com/question/21145944
#SPJ1
anyone know the answer to this?
Answers
\(V=7\text{ in}\cdot 5\text{ in}\cdot7 \text{ in}=245\text{ in}^3\)
i need help please i dont understand
Answers
Answer:
answer attached
Step-by-step explanation:
A jar contains 4 red marbles numbered 1 to 4 and 12 blue marbles numbered 1 to 12. A marble is drawn at random from the jar. Find the probability of the given event. (a) The marble is red
Your answer is :
(b) The marble is odd-numbered
Your answer is :
(c) The marble is red or odd-numbered
Your answer is :
(d) The marble is blue and even-numbered
Your answer is :
Answers
a) The probability of drawing a red marble is 1/4.
b) There is a 3/8 chance of drawing an odd-numbered stone.
c) There is a 7/16 chance of drawing a red or odd-numbered marble.
d) The odds of drawing the blue, even-numbered marble are 3/8.
(a) The ratio of red marbles to all other marbles in the jar represents the likelihood of drawing a red marble.
(4) red marbles are present.
(4) + (12) = (16) marbles total
As a result, there is a 4/16 or 1/4 chance of drawing a red marble.
(b) The proportion of odd-numbered marbles to all marbles in the jar determines the likelihood of drawing an odd-numbered marble.
6 odd-numbered marbles make up the total (red marbles numbered 1 and 3, and blue marbles numbered 1, 3, 5, and 7)
There are 16 marbles in total.
The likelihood of drawing an odd-numbered stone is therefore 6/16 or 3/8.
(c) The likelihood of drawing a red or odd-numbered marble is calculated as the product of the odds of drawing each type of marble, less the likelihood of drawing a red or odd-numbered stone (i.e., marble number 1).
a red marble's chances of being drawn = 1/4
Probability of drawing an odd-numbered marble = 3/8
Probability of drawing a marble that is both red and odd-numbered = 1/16
Therefore, the probability of drawing a red or odd-numbered marble is (1/4) + (3/8) - (1/16) = 7/16.
(d) The proportion of blue and even-numbered marbles to all other marbles in the jar determines the likelihood that a blue and even-numbered marble will be drawn.
Six blue and even-numbered marbles make up the total (blue marbles numbered 2, 4, 6, 8, 10, and 12)
Total number of marbles = 16
Probability of drawing the marble is blue and even-numbered = 6/16 or 3/8
Find out more about Probability
brainly.com/question/3845099
#SPJ4
What is the value of negative 7 divided by 5?
Answers
Answer:
-7/5 or -1.4
Step-by-step explanation:
Consider the following equation. 2x2 – y2 = 5 (a) Find y' by implicit differentiation. y' = X (b) Solve the equation explicitly for y and differentiate to get y' in terms of x. y' = ±|| X
Answers
The value of y' by implicit differentiation is y' = 2x / y and the value of y is y = √2x² + 2C
Given
The function is .
2x² – y² = 5
x and y are variables.
a)
Differentiation implicitly to get y'
So,
Function = 2x² – y² = 5
Differentiate,
4x - 2y y' = 0
-2 y y' = -4x
y' = 2x / y
b)
To solve the equation explicitly for y and differentiate to get y' in terms of x.
y' = 2x / y
Apply seperation of variables,
yy' = 2x
Integrate both sides,
y²/2 = x² + C
y² = 2x² + 2C
Take square root on both sides,
y = √2x² + 2C
Know more about implicit differentiation,
https://brainly.com/question/20319481
#SPJ4
Your car averages 31 mph on the highway, but the actual mileage varies from average by at most 5 mph. What is your range of mileage?
Answers
Answer:
26-36
Step-by-step explanation:
If I'm not mistaken, the range of milage should be 26-36 mph, because we know that the maximum you will deviate from your avergae is 5 in either direction. So, you can subtract 5 from 31 (26) and add 5 to 31 (36) to get the range.
Hope this helps! :)
Is the Inequality always, sometimes, or never true? -6(2x-10)+12x less than or equal to 180
Answers
Answer:
always true
Step-by-step explanation:
Original inequality:
\(-6(2x-10)+12x\le180\)
Distribute the -6
\(-12x+60+12x\le180\)
Combine like terms:
\(60\le180\)
As you can see the expression on the left side is constant, so it is always true, since the constant (60) is less than 180
Which of the following fractions have the same value as 16+(-3)? Check all that apply.
16
-3
-16
-3
-16
3
16
(16
3
-10)
16
-3
Answers
Select the best answer for the question
15. Rene Rodrigues vacationed in Mexico and spent 9,200 pesos. What would this be in U.S. dollars? (Round to the nearest cent. Use the Currency Conversion chart in the textbook.)
O A. $576.80
O B. $515.20
O C. $164,285.72
O D. $164,218.00
Answers
can you solve this? what is sin 60
Answers
Answer:
Yo the answers B
√3/2
Step-by-step explanation:
You can either make a graph or write a ratio to find the slope
Answers
Answer:
The slope is:
m = 2Step-by-step explanation:
Given the table
Pounds, x 3 4 5 6
Cost, y 6 8 10 12
Taking any two points let say (3, 6) and (4, 8)
\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)
\(\left(x_1,\:y_1\right)=\left(3,\:6\right),\:\left(x_2,\:y_2\right)=\left(4,\:8\right)\)
\(m=\frac{8-6}{4-3}\)
Refine
\(m=\frac{2}{1}\)
\(m = 2\)
Therefore, the slope is:
m = 2Lawyer Fees:
A lawyer charges a base (one time) fee of
$200 and $75 each hour for consulting with
her. What would be the equation to model the situation?
Answers
8 hours = $275 x 8
= 2,200
what is - 4x +7 > x -13
Answers
Answer:
\(\huge\boxed{\sf x < 4}\)
Step-by-step explanation:
Given inequality:-4x + 7 > x - 13
Subtract x to both sides
-4x - x + 7 > -13
-5x + 7 > -13
Subtract 7 to both sides
-5x > -13 - 7
-5x > -20
Divide -5 to both sides
x < -20/-5
x < 4\(\rule[225]{225}{2}\)
Answer:
\(x < \bf 4\)
Step-by-step explanation:
\(-4x + 7 > x -13\)
We have to make \(x\) the subject of the equation:
• Subtract \(x\) from both sides:
\(-4x - x + 7 > -13\)
⇒ \(-5x + 7 > -13\)
• Now subtract 7 from both sides:
\(-5x > -13 - 7\)
⇒ \(-5x > -20\)
• Next divide both sides by -5, and remember that dividing an inequality by a negative number reverses the inequality symbol:
\(x < \frac{-20}{-5}\)
⇒ \(x < \frac{20}{5}\)
⇒ \(x < \bf 4\)
35 percent of 150 is about 50 is this reasonable or unreasonable
Answers
The statement that 35 percent of 150 is about 50 is completely false and hence unreasonable as 35 percent of 150 is exactly equal to 52.50.
In the given problem which is related to percentage of some specific number, the value is obtained by direct multiplication of percentage with the given number to get the answer. Percentage is defined as the ratio which is given with respect to number 100 or 100 units as a whole. Its symbol is %. It is a dimensionless quantity and hence has no units as ratios does not have units.
The given equation can be represented as follows to obtain the answer:
(35/100) × 150 = 52.50
Since 52.50 cannot be considered close to 50, hence the statement is u reasonable. Though 52.5 can be considered as about 52 or 53.
Learn more about percentage at:
brainly.com/question/24877689
#SPJ4
7) What does a multiplier of \( 1.2 \) mean?
Answers
A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.
A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.
A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.
Read more about multipliers:
brainly.com/question/15883095
Use Newton's method to approximate a root of the equation 4x ^ 7 + 2x ^ 4 + 2 = 0 as follows. Let x_{1} = 2 be the initial approximation The second approximation is x_{2}
Answers
Given the equation:
\(4x^7+2x^4+2=0\)You need to remember that Newton's method to approximate a root of the equation provides this formula:
\(x_{n+1}=x_n-\frac{f(x_n)}{f^{\prime}(x_n)}\)In this case:
\(f(x_n)=4x^7+2x^4+2\)Then, you need to derivate it, in order to find:
\(f^{\prime}(x_n)\)Use these Derivative Rules:
\(\begin{gathered} \frac{d}{dx}(x^n)=nx^{n-1} \\ \\ \frac{d}{dx}(k)=0 \end{gathered}\)Where "k" is a constant.
You get:
\(f^{\prime}(x_n)=(4)(7)x^6+(2)(4)x^3+0\)\(f^{\prime}(x_n)=28x^6+8x^3\)• Knowing that:
\(x_1=2\)You can set up that:
\(x_2=2-\frac{4x^7+2x^4+2}{28x^6+8x^3}\)Substitute the given value of "x" and evaluate, in order to find the second approximation:
\(\begin{gathered} x_2=2-\frac{4(2)^7+2(2)^4+2}{28(2)^6+8(2)^3} \\ \\ x_2=\frac{1583}{928} \end{gathered}\)• Now you can set up that:
\(x_3=\frac{1583}{928}-\frac{4x^7+2x^4+2}{28x^6+8x^3}\)Then, substituting the corresponding x-value and evaluating, you get:
\(x_3=\frac{1583}{928}-\frac{4(\frac{1583}{928})^7+2(\frac{1583}{928})^4+2}{28(\frac{1583}{928})^6+8(\frac{1583}{928})^3}\)\(x_3\approx1.45\)Hence, the answers are:
• Second approximation:
\(x_2=\frac{1583}{928}\)• Third approximation:
\(x_3\approx1.45\)This trapezoid-based right pyramid has a volume of 48m3 .What is the area of the base of the pyramid?
Answers
Answer
Explaination
Answer:
18
Step-by-step explanation:
i did my khan
18) Abhasra took a trip to Malaysia. Upon
leaving she decided to convert all of her
Ringgits back into dollars. How many
dollars did she receive if she exchanged 24
Ringgits at a rate of 4 Ringgits to $1?
Answers
Answer:
6 dollars
Step-by-step explanation:
its math
For the line and point on the picture, find a perpendicular line, through the given point. please look at the picture to see the point and line and answer choices.
Answers
Answer:
y = - 7
Step-by-step explanation:
Solve please 6th grade math
Answers
The expression that describes the relationship is as follows:
D. The number of sheets of paper is 50 times the number of packages
How to represent an expression?The number of sheet of paper in x packages is described by the rule y = 50x.
Therefore, the verbal description that describes the relationship can be represented as follows:
y = 50x
where
x = number of packagesy = number of sheet of paperTherefore, the number of sheets of paper is 50 times the number of packages describes the relationship.
learn more on equation here: https://brainly.com/question/30444054
#SPJ1
the dimensions of col a and nul a add up to the number of columns in a.
a. true
b. false
Answers
Using Rank theorem , the dimensions of col A and Null A add up to the number of colmns in A. It is true statement.
The rank of matrix A denoted as rank(A) is the dimension of the column space Col(A).
The nullity of matrix A written as nullity(A) is the dimension of the null space Nul(A)
Rank Theorem:
If A is a matrix with n columns, then
Rank (A) + nullity (A) = n
In other words we can say that
dim (Col(A) ) in column space + dim (Nul(A)) in empty space = total number of columns in A
The rank theorem is really important theorem.
It is gives a strong relationship between the Null space ( all possible vector x such that Ax = 0) and the column space (the set of vectors b matching Ax=b) explain the two main objectives. The more freedom we have for choosing x, the less freedom we have for choosing b, and vice versa.
To learn more about Rank theorem, refer:
https://brainly.com/question/12914662
#SPJA
SOLVE HYPOTENUSE LEG-HL
-GEOMETRY
Answers
\(\huge \rm༆ Answer ༄\)
The required information needed to prove the two triangles congruent by HL congruency criteria is ~
\( \sf {VW} \cong BA\)Determine whether each of the following functions is a solution of laplace's equation uxx uyy = 0.
Answers
Both functions are the solution to the given Laplace solution.
Given Laplace's equation: \(u_{x x}+u_{y y}=0\)
We must determine whether a given function is the solution to a given Laplace equation.If a function is a solution to a given Laplace's equation, it satisfies the solution.(1) \(u=e^{-x} \cos y-e^{-y} \cos x\)
Differentiate with respect to x as follows:
\(u_x=-e^{-x} \cos y+e^{-y} \sin x\\u_{x x}=e^{-x} \cos y+e^{-y} \cos x\)
Differentiate with respect to y as follows:
\(u_{x x}=e^{-x} \cos y+e^{-y} \cos x\\u_{y y}=-e^{-x} \cos y-e^{-y} \cos x\)
Supplement the values in the given Laplace equation.
\(e^{-x} \cos y+e^{-y} \cos x-e^{-x} \cos y-e^{-y} \cos x=0\)
The given function in this case is the solution to the given Laplace equation.
(2) \(u=\sin x \cosh y+\cos x \sinh y\)
Differentiate with respect to x as follows:
\(u_x=\cos x \cosh y-\sin x \sinh y\\u_{x x}=-\sin x \cosh y-\cos x \sinh y\)
Differentiate with respect to y as follows:
\(u_y=\sin x \sinh y+\cos x \cosh y\\u_{y y}=\sin x \cosh y+\cos x \sinh y\)
Substitute the values to obtain:
\(-\sin x \cosh y-\cos x \sinh y+\sin x \cosh y+\cos x \sinh y=0\)
The given function in this case is the solution to the given Laplace equation.
Therefore, both functions are the solution to the given Laplace solution.
Know more about Laplace's equation here:
https://brainly.com/question/14040033
#SPJ4
The correct question is given below:
Determine whether each of the following functions is a solution of Laplace's equation uxx + uyy = 0. (Select all that apply.) u = e^(−x) cos(y) − e^(−y) cos(x) u = sin(x) cosh(y) + cos(x) sinh(y)
Can someone help me with this Question.
Answers
The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.
\(P=3W+D\)A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.
B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.
\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.
That leaves \(27-14=13\) matches. These represent the matches team lost.
Finally, the answers are below.
\(A)29\)
\(B)13\)
Answer:
a) 29 points
b) 13 losses
Step-by-step explanation:
You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.
A 8 wins, 5 drawsThe number of points the team has is ...
P = 3W +D
P = 3(8) +(5) = 29
The team has 29 points.
B 54 pointsYou want the number of losses the team has if it has 54 points and 12 draws after 39 games.
The number of wins is given by ...
P = 3W +D
54 = 3W +12
42 = 3W
14 = W
Then the number of losses is ...
W +D +L = 39
14 +12 +L = 39 . . . substitute the known values
L = 13 . . . . . . . . . . subtract 26 from both sides
The team lost 13 games.
__
Additional comment
In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)
<95141404393>
Suppose a company did $2,000,000 in annual maintenance in 2013 and expects 80% of those to renew for 2014. Suppose that product sales for 2013 were $2,000,000 (which included free maintenance in 2013) and 75% of those were expected to pay an annual maintenance of 10% of the purchase price in 2014.
What will be the annual maintenance collected in 2014?
Answers
The annual maintenance collected in 2014 will be $1,750,000.
How to calculate the annual maintenance collected in 2014?To calculate the annual maintenance collected in 2014, we need to find the number of customers who will renew their maintenance contract and the number of customers who will pay for maintenance as a percentage of product sales in 2013.
Number of customers renewing maintenance in 2014 = 80% of $2,000,000 = $1,600,000
Number of customers paying for maintenance in 2014 = 75% of $2,000,000 = $1,500,000
So, the total annual maintenance collected in 2014 will be:
$1,600,000 + $1,500,000*10% = $1,750,000
Therefore, the annual maintenance collected in 2014 will be $1,750,000.
Learn more about calculate
brainly.com/question/30781060
#SPJ11
Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function?
Answers
The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).
option C.
Which ordered pair can be plotted together?The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is determined as follows;
The four points include;
A = (1, 2)
B = (2, - 3)
C = (-2, - 2)
D = (-3, 1)
The ordered pair that can be plotted together with these four points, must fall withing these coordinates. Going by this condition we can see that the only option that meet this criteria is;
(2, - 1)
Thus, the ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).
Learn more about ordered pairs here: https://brainly.com/question/30467126
#SPJ1
What strategy would be the best to solve this problem?
Ann-Marie bought apples. She kept one-third for herself and gave the rest to 4 friends. Each friend got 2 apples. How many apples did Ann-Marie buy?
What strategy would be the best to solve this problem?
A. guess, check and revise
B. work backwards
C. use a formula
D. look for patterns
Answers
Answer:
look for patterns also, Ann purchased 12 apples
Step-by-step explanation:
x apples
1/3 of x, (x - x/3) = (3x - x) /3 = 2x/3
Number of people who shared (2x/3) = 4 with each getting 2Total number shared = 4 * 2 = 8Fraction shared = total shared2x/3 = 8Multiply both sides by 3(2x/3) * 3 = 8 * 32x = 24x = 12
Let p be a prime of the form 4k+3 for some k∈Z ≥0
Show that x^2+1 is irreducible in Z_p[x]. Hint: multiplicative order of a root.
Answers
- Assume that \(x^2+1\) can be factored as (x-a)(x-b) in \(Z_p[x]\).
- Show that this assumption leads to a contradiction by considering the multiplicative order of a root.
- Conclude that \(x^2+1\) is irreducible in \(Z_p[x]\).
To show that the polynomial \(x^2+1\) is irreducible in \(Z_p[x]\), where p is a prime of the form 4k+3 for some k∈Z ≥0, we need to demonstrate that it cannot be factored into two polynomials of lesser degree.
To begin, let's assume that \(x^2+1\) can be factored as (x-a)(x-b) in \(Z_p[x]\). Our goal is to show that this assumption leads to a contradiction.
Let's consider a root of \(x^2\) +1 in \(Z_p\).
Since \(Z_p\) is a field, every nonzero element has a multiplicative inverse. We'll denote the multiplicative inverse of an element x as \(x^-1.\)
If a is a root of \(x^2+1\), then (\(a^2+1\)) ≡ 0 (mod p). This implies that \(a^2\) ≡ -1 (mod p).
Now, let's consider the multiplicative order of a.
The multiplicative order of an element a in \(Z_p\) is the smallest positive integer k such that \(a^k\) ≡ 1 (mod p).
Since p is of the form 4k+3, we know that p ≡ 3 (mod 4). This implies that (p-1) is divisible by 4.
Now, let's consider the multiplicative order of \(a^2\) in \(Z_p\).
By Euler's theorem, we know that \(a^(p-1) ≡ 1 (mod p).\)
Since (p-1) is divisible by 4, we can write (p-1) as 4m for some integer m.
So,\((a^2)^(4m) ≡ 1 (mod p).\)
Expanding this, we have \(a^(8m)\) ≡ 1 (mod p).
Since the multiplicative order of a is the smallest positive integer k such that \(a^k\) ≡ 1 (mod p), we have k ≤ 8m.
Now, let's consider the multiplicative order of a. If k is the multiplicative order of a, then k divides (p-1).
Since (p-1) = 4m, we have k ≤ 4m.
Combining the inequalities, we get k ≤ 8m ≤ 4m.
This implies that k ≤ 4m.
However, since (p-1) = 4m, we have k ≤ (p-1)/4.
Since p is of the form 4k+3, (p-1)/4 is not an integer.
Therefore, we have a contradiction.
Hence, our assumption that \(x^2+1\) can be factored as (x-a)(x-b) in \(Z_p[x]\)leads to a contradiction.
Therefore, \(x^2+1\) is irreducible in \(Z_p[x].\)
To summarize:
- Assume that \(x^2+1\) can be factored as (x-a)(x-b) in \(Z_p[x]\).
- Show that this assumption leads to a contradiction by considering the multiplicative order of a root.
- Conclude that \(x^2+1\) is irreducible in \(Z_p[x]\).
Learn more about Euler's theorem from this link:
https://brainly.com/question/31821033
#SPJ11
"7 people go on a camping trip where they must spilt 2 gallons of water equally" Do I have to do 7 Wholes/Pieces Of 1 Whole but splitted into 7 pieces" Please help.
Answers
Answer:
each camper would have to take 2/7 gallons of water
Step-by-step explanation: