Answer:
\(15^{4}\)
Step-by-step explanation:
Since 15 is being multiplied by itself four times, it is raised to the fourth power.
convert 1075 into quinary number
Answer:
13300.1333333333 is the answer
please Mark me brainliest and follow me
A set of eight cards were labeled with A, D, D, I, T, I, O, N. What is the sample space for choosing one card?
S = {A, D, D, I, I, N, O, T}
S = {A, D, I, T, O, N}
S = {A, I, O}
S = {D, I}
The correct answer is S = {A, D, D, I, T, I, O, N}.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.
The sample space is the set of all possible outcomes of an experiment or event.
In this case, the experiment is choosing one card from a set of eight labeled cards.
The sample space for this experiment is the set of all possible cards that can be chosen.
In the given problem, there are eight cards labeled A, D, D, I, T, I, O, N.
The sample space is the set of all possible cards that can be chosen, which is {A, D, D, I, T, I, O, N}.
This is because each card is distinct and can be chosen independently of the others.
Therefore, the correct answer is S = {A, D, D, I, T, I, O, N}.
To know more about probability visit :
https://brainly.com/question/13604758
#SPJ1
Answer: A( A,D, D,I, I,N,O,T)
Step-by-step explanation:
Order does not matter!!
need help
with 1.9 more especially
Answer:
1/2 × |AB| × |OE|
Step-by-step explanation:
use the formula for finding the area of a triangle.
please help :,) identify an equation in slope-intercept form for the line parallel to y=3x+5 that passes through (4,-1)
Answer:
A. y + 1 = -3(x - 4)
Step-by-step explanation:
If the equations are perpendicular, then that means they have the same slope, just with the opposite sign. In this case, the given equation's slope is 3, which means that the other equation's slope is -3. Now that we know the slope and one point, we can write the equation in point-slope form:
y - y1 = m(x - x1)
y - (-1) = -3(x - 4)
y + 1 = -3(x - 4)
The equation in point-slope form is answer choice A. y + 1 = -3(x - 4).
Hope this helps :)
Find each measure below.
arc SR=
Answer:
Measure of arc SR = 62°
Step-by-step explanation:
By using the property,
"Measure of an arc of the circle is double of the measure of the angle subtended by the arch."
m∠SUR = \(\frac{1}{2}m(\text{arc SR})\)
m(arc SR) = 2m∠SUR
= 2(31°)
= 62°
What is the value of log43? Use the calculator. Round your answer to the nearest tenth. 0.6 1.6 3.8 4.7
Answer:
1.6
Step-by-step explanation:
you plug it into a calculator
Answer:
B.) 1.6
Step-by-step explanation:
Mr. Davis took his car to the repair shop. His total bill was $253. He was charged $48 for parts, and $5 for shop materials.
The rest of the charge was for labor. If it took four hours to fix the car, how much does the shop charge per hour for labor?
Answer:
33.333333
Step-by-step explanation:
(253-(48+5))/6
(253-53)/6
200/6
33.333333
(a) Express the following in the form of partial fractions: \[ \frac{x-2}{(x-1)^{2}(x+1)} \text {. } \] (b) Use the exponential definition of \( \cosh x \) to find the two solutions of \( \cosh x=5 \)
The expression \(\(\frac{x-2}{(x-1)^2(x+1)}\)\) can be written as \(\[\frac{-1}{x-1} + \frac{1}{(x-1)^2} - \frac{1}{x+1}\].\) The two solutions of \(\(\cos h x = 5\)\) are \(\(x = \ln(5 + 2\sqrt{6})\) and \(x = \ln(5 - 2\sqrt{6})\).\)
(a) To express \(\(\frac{x-2}{(x-1)^2(x+1)}\)\) in partial fractions, we start by factoring the denominator:
\(\((x-1)^2(x+1) = (x^2 - 2x + 1)(x+1) = x^3 - x^2 - 2x^2 + 2x + x - 1 = x^3 - 3x^2 + 3x - 1\).\)
Now, we can express the fraction as:
\(\[\frac{x-2}{(x-1)^2(x+1)} = \frac{A}{x-1} + \frac{B}{(x-1)^2} + \frac{C}{x+1}\].\)
To determine the values of A, B, and C, we need to find a common denominator on the right side:
\(\[\frac{A(x-1)(x+1) + B(x+1) + C(x-1)^2}{(x-1)^2(x+1)} = \frac{(A+B)x^2 + (A-C)x + (-A+B-C)}{(x-1)^2(x+1)}\].\)
Equating the numerators, we get the following system of equations:
\(\(A+B = 0\),\\\(A-C = -2\),\\\(-A+B-C = 1\).\)
Solving this system of equations, we find \(\(A = -1\), \(B = 1\), and \(C = -1\)\).
Therefore, the expression \(\(\frac{x-2}{(x-1)^2(x+1)}\)\) can be written as \(\[\frac{-1}{x-1} + \frac{1}{(x-1)^2} - \frac{1}{x+1}\].\)
(b) The exponential definition of \(\(\cos h x\)\) is \(\(\cos h x = \frac{e^x + e^{-x}}{2}\).\)
To find the solutions of \(\(\cos h x = 5\)\), we substitute this expression into the equation:
\(\[\frac{e^x + e^{-x}}{2} = 5\].\)
Multiplying both sides by 2, we have:
\(\[e^x + e^{-x} = 10\].\)
Multiplying through by \(\(e^x\)\), we get a quadratic equation:
\(\[e^{2x} - 10e^x + 1 = 0\].\)
We can solve this quadratic equation using the quadratic formula:
\(\[e^x = \frac{10 \pm \sqrt{10^2 - 4(1)(1)}}{2} = \frac{10 \pm \sqrt{96}}{2} = \frac{10 \pm 4\sqrt{6}}{2}\].\)
Simplifying further, we have:
\(\[e^x = 5 \pm 2\sqrt{6}\].\)
Taking the natural logarithm of both sides, we obtain:
\(\[x = \ln(5 \pm 2\sqrt{6})\].\)
Therefore, the two solutions of \(\(\cos h x = 5\)\) are \(\(x = \ln(5 + 2\sqrt{6})\) and \(x = \ln(5 - 2\sqrt{6})\).\)
Learn more about partial fractions here:
https://brainly.com/question/31224613
#SPJ11
can someone un block this stuff about premium please?
Answer:
??????????????????????????????????
Step-by-step explanation:
Write the number 347.85 in expanded form. a 3 + 100 + 4 x 10 + 7 x 1 x 8 x (1/100) + 5 x (1/100) b 3 x 100 + 4 + 10 + 7 x 1 + 8 x (1/100) + 5 x (1/10) c 3 x 100 + 4 x 10 + 7 x 1 + 8 x (1/10) + 5 x (1/100)
Answer:
C. 3 × 100 + 4 × 10 + 7 × 1 + 8 × (1/10) + 5 × (1/100)
Step-by-step explanation:
3: hundreds
4: tens
7: ones
8: tenths
5: hundreths
find a particular solution of the following equation using the method of undetermined coefficients. primes denote the derivatives with respect to x.
The particular solution of the given equation is given by:\(y = c1cos(2x) + c2sin(2x) + (x^2 - x + 1/48)e^(2x).\)
Given an equation, using the method of undetermined coefficients, the particular solution is to be found. The equation is:\((D4+4D2+4)y = xe^(2x)\)
Where, D denotes the derivative with respect to x.Step-by-step explanation:
First, the characteristic equation is to be determined. That is,D^2+4 = 0 => D = ∓2iThe complementary function (CF) is given by:
\(yCF = c1cos(2x) + c2sin(2x)\)
Now, let us assume the particular solution (PS) as:
yPS = Ax^2e^(2x)
where, A is a constant.
Differentiating PS, we get:\(y'PS = 2Axe^(2x) + 2Ax^2e^(2x)y''PS = 4Axe^(2x) + 4Ax^2e^(2x) + 4Axe^(2x) + 2Ax^2e^(2x)y'''PS = 8Axe^(2x) + 12Ax^2e^(2x) + 8Ax^2e^(2x) + 8Axe^(2x)y''''PS = 16Axe^(2x) + 32Ax^2e^(2x) + 16Ax^2e^(2x) + 16Axe^(2x)\)Putting these values in the given equation, we get:
\((16Ax^2e^(2x) + 32Ax^2e^(2x) + 16Ax^2e^(2x) + 16Axe^(2x)) + 4(4Axe^(2x) + 2Ax^2e^(2x)) + 4(Ax^2e^(2x)) = xe^(2x)\)Simplifying the equation, we get:\(48Ax^2e^(2x) + 16Axe^(2x) = xe^(2x)\)Comparing the coefficients of x and e^(2x), we get:48A = 1 and 16A = 0. Therefore, A = 1/48 and A = 0, which is not possible.
Hence, the assumption of PS is incorrect.
Hence, another assumption for PS is:\(yPS = (Ax^2 + Bx + C)e^(2x)\)Differentiating and putting the values in the given equation, we get:2B + 8C = 1 => 4B + 16C = 0 => 2A + 4B + 8C = 0Solving these equations, we get:A = 1/48, B = -1/24, and C = 1/48Hence, the particular solution is:
\(yPS = (x^2 - x + 1/48)e^(2x)\)
Therefore, the complete solution is:\(y = yCF + yPS = > y = c1cos(2x) + c2sin(2x) + (x^2 - x + 1/48)e^(2x).\)
For more such questions on coefficients
https://brainly.com/question/1038771
#SPJ11
there were 425 guests at a hotel. 170 guests ordered food. what percentage of the guests ordered food?
Answer: 40%
Step-by-step explanation:
Take 170 divided by 425, then times 100% = 40%
So 40% of the guests ordered food!
3. What was a major impact of the Neolithic Revolution? (1 point)
O Male family members became leaders.
An economic system based upon bartering developed.
O Food surpluses led to population growth.
OWarriors learned how to make weapons.
Answer: Food surpluses led to population growth.
Step-by-step explanation:
Food surpluses led to population growth.
Please help me with this question.
What should be done so that the expression will have a value of 10?
12 - 2 + 2 2 ÷ 8
In a game of tug of war, your team changes -2 1/2 feet in position every 10 seconds. What is your change in position after 40 seconds? ?This table may help, however there are other ways to solve it. Use whichever method helps you to solve it.
A bike shop has 11 red bikes, 33 blue bikes, 4 orange bikes, and 12 silver bikes. For every 1 orange bike, there are 3 _____. Choose 1 answer:
Answer:
Silver bikes
Step-by-step explanation:
1 orange bike = 3 silver
4 organ bikes = 12 silver
Lol I said organ
Nobody is laughing :l
Jackie is taking a week-long football class. The first day, she gains 6 yards on her only possession of the football. On the second day, she quarterbacks for 3 plays and gains 6 yards on each play. What is the total number of yards Jackie gained?
Answer:
24
Step-by-step explanation:
6 x 3 = 18 + 6= 24
What is the price of a $13 ticket with a 8% sales tax?
Answer:
$14.04
Step-by-step explanation:
13 + 1.04 = $14.04
Answer:
Step-by-step explanation:
to find out the price
with the sales tax
13*8/100=1.04
13+1.04=14.04 is the final price
3. Bob the plumber charges $15 per hour plus a service fee of $40 for coming out to your
house. How much would plumber Bob charge for working 5 hours?
A) $125
B) $100
C) $75
D) $115
Answer:
D) $115
Step-by-step explanation:
15x + 40 = y
15 (5) + 40 = 115
15 x 5 = 75
75 + 40 = 115
Answer:
D is the answer
Step-by-step explanation:
15x5=75
75+40=115
HELP ME PLEASE 30 points !!
Answer:
(0,1.5) (0,-3)
Step-by-step explanation:
Hope it helps :)
Describe the long run behavior of f(x)=5(2)x+1:
As x→−[infinity], f(x) =
As x→[infinity], f(x) =
The long run behavior of the function f(x)=5(2)x+1 is that it approaches 1 as x approaches negative infinity and it approaches infinity as x approaches positive infinity.
The long-term behavior of the function f(x)=5(2)x+1 can be discovered by examining how the function behaves as x gets closer to negative and positive infinity.
As x→−[infinity], f(x) = 5(2)^ -∞+1 = 5(0)+1 = 1
As x approaches negative infinity, the value of the function approaches 1.
As x→[infinity], f(x) = 5(2)^ ∞+1 = 5(∞)+1 = ∞
As x approaches positive infinity, the value of the function approaches infinity.
As a result, the function f(x)=5(2)x+1 behaves in the long run in such a way that it approaches 1 as x approaches negative infinity and infinity as x approaches positive infinity.
Learn more about behavior at https://brainly.com/question/22443880
#SPJ11
Cindy works at Jurassic Park and has been tasked to design a container in the shape of a rectangular prism for the incoming baby dinosaurs. The scaled model of the container has dimensions 2m by 4m by 6m. Cindy has decided to increase each dimension of the scaled model by the same amount in order to produce a container with a volume of 84 times the volume of the scale model. By what amount should Cindy increase each dimension of the scaled model?
The amount Cindy should increase for each dimension of the scaled model will be 12 meters.
What is the scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.
Given that:-
The scaled model of the container has dimensions of 2m by 4m by 6m. Cindy has decided to increase each dimension of the scaled model by the same amount in order to produce a container with a volume of 84 times the volume of the scale model.The scale model will be solved as follows:-
Present volume = 2 x 4 x 6 = 48 cubic meters
Let the lengths be increased by x meters now the new volume will be:-
( 2 + x ) ( 4 + x ) ( 6 + x ) = 48 x 84
( x² + 6x + 8 ) ( 6 + x ) = 48 x 84
( x³ + 44x + 12x² - 3984 ) = 0
By solving the cubic equation we will get the value of x = 12 meters.
Therefore the amount Cindy should increase for each dimension of the scaled model will be 12 meters.
To know more about scale factors follow
https://brainly.com/question/25722260
#SPJ1
i need help with this
The total 12 people answered the survey in total when in a survey, 7 people said that their favorite card game was patience.
Given that,
In a survey, 7 people said that their favorite card game was patience.
We have to find how may people answered the survey in total.
What is pie chart?Pie charts can be used to show percentages of a whole group and show percentages at a particular moment. In contrast to bar graphs and line graphs, pie charts do not show changes over time. The pages that follow provide a description of a pie chart's many elements.
We divide the patience by 7
210/7
30
So, For each person in patience we have 30°.
The total is
60°+30°+60°+210°
2+1+2+7
12
Therefore, The total 12 people answered the survey in total when in a survey, 7 people said that their favorite card game was patience.
To learn more about survey visit: https://brainly.com/question/17373064
#SPJ13
17.09+3.98 estimated
Answer:
21.07
Step-by-step explanation:
PLEASE HELP!! IM HAVING A HARD TIME UNDERSTANDING THIS QUESTION.
Given the values of exponential function g below, what is g(3)?
g(0) = 60.4
g(1) = 30.2
g(2) = 15.1
O A.
3.775
OB. 7.55
OC.
8.0
D.
14.6
Answer:
14.6
Step-by-step explanation:
I WIL GIVE BRAINIEST PLSSSS HELP FAST!!! What scale factor was used to produce figure 1 from figure 2? Answers
1/6
1/3
3
6
Pls help last one
Which one is it
-wheeler breaks and cannot be rented, what is the new ratio in lowest terms of the total number of engine cylinders to the total number of wheels?
The new ratio of the total number of engine cylinders to the total number of wheels is:
(3m + 2n) × c : (8n + 6m)
This is the lowest terms of the ratio.
The rented vehicles are four-wheelers and all the available vehicles have the same number of cylinders, we can set up a ratio of cylinders to wheels as follows:
Let n be the number of rented four-wheelers.
Then, the total number of wheels in the rented vehicles is 4n.
Let m be the number of available vehicles.
Then, the total number of wheels in the available vehicles is 2m (since each vehicle has 2 wheels).
The total number of cylinders is the same for both the rented and available vehicles, so we can add the number of cylinders in each group to get the total number of cylinders.
Let c be the number of cylinders in each vehicle.
Then, the total number of cylinders is nc + mc = (n+m) × c.
The ratio of the total number of cylinders to the total number of wheels is:
(n+m) × c : (4n+2m)
Now, if one-third of the rented four-wheelers break down and cannot be rented, this means that only 2/3 of the rented four-wheelers are available.
So, the new ratio of cylinders to wheels is:
[(m + 2/3n)c] : [(42/3n + 2m)]
Simplifying this ratio, we get:
[(3m + 2n) × c] : [8n + 6m]
This ratio cannot be simplified any further because there are no common factors between the numerator and denominator.
For similar questions on cylinders
https://brainly.com/question/23935577
#SPJ11
Complete the vector to fully describe the single transformation which takes shape a to shape b translate shape a by the sector.
The single transformation that maps shape a onto shape b is \(\left[\begin{array}{c}-5&-5\end{array}\right]\)
How to determine the vector transformation?From the figure, we have the following highlights
Both triangles are congruentTriangle B is 5 units down from triangle ATriangle B is 5 units left of triangle AThe above highlights mean that the triangle A must be translated 5 units left and 5 units down to get triangle B.
This is represented as:
(x,y) -> (x - 5, y - 5)
By vector representation, we have:
\(\left[\begin{array}{c}-5&-5\end{array}\right]\)
Hence, the single transformation that maps shape a onto shape b is \(\left[\begin{array}{c}-5&-5\end{array}\right]\)
Read more about transformation at:
https://brainly.com/question/4289712
#SPJ1