Answer:
The answer is 0.27333 just put a line above the second three.
Answer:
0.273333
Step-by-step explanation:
186.80/720
= 0.273333
Your total monthly bill (T
) from the Electric and Gas Company depends on how much electricity and how much gas you use each month. For every kilowatt hour of electricity (k
) you use, you are charged $0.25
and for each therm (t
) of gas used you are charged $0.97
.
Which of the following equations represents the relationship between electricity and gas used and your bill?
The equation representing the relationship between Electricity and Gas used, and your Bill is:
T = 0.25 * k + 0.97 * t
Step-by-step explanation:
Make a plan:
We need to find the equation that represents the relationship between the total monthly bill (T), The Kilowatt Hours of Electricity used (k), and the Terms of Gas used (t).
T = 0.25 * k + 0.97 * t
Solve the problem:
1 - Write the Equation for the cost of Electricity:
0.25 * k
2 - Write the Equation for the Cost of Gas:
0.97 * t
3 - Combine the Equations to Represent the total Monthly Bill (T):
T = 0.25 * k + 0.97 * t
Draw the Conclusion:Hence, The equation representing the relationship between Electricity and Gas used, and your Bill is:
T = 0.25 * k + 0.97 * t
I hope that helps!
The radius of a circle is 20 in. Find its circumference in terms of π
Answer:
40π inches
Step-by-step explanation:
What is the formula for the circumference of a circle?
The formula for the circumference of a circle is:
C = 2πr(where C is the circumference and r is the radius)
If the radius of the circle is 20 inches, then its circumference in terms of π would be:
C = 2π × 20 = 40π inchesTherefore, the circumference of a circle when the radius is 20in is 40π inches.
Answer:
C = 40π
Step-by-step explanation:
To calculate the circumference of a circle, we will use the formula
C = 2πr
And we're asked to find C in terms of pi.
So all I need to do is plug in 20 for the radius, and then multiply.
I plug in 20 for the radius, r: C = 2π × 20
Multiply: C = 40π
Therefore, C = 40π.
One number is 4 less than a second number. Twice the second number is 13 less than 5 times the first. Find the two numbers.
Answer:
7 , 11
Step-by-step explanation:
Let the second number be 'x'
the first number = x - 4
Twice the second number : 2*x = 2x
5times first = 5*(x -4) = 5*x - 5*4 = 5x - 20
13 less than 5 times the first = 5x - 20 - 13 = 5x - 33
5x - 33 = 2x
Add 33 to both sides
5x - 33 + 33 = 2x +33
5x = 2x + 33
Subtract '2x'from both sides
5x - 2x = 2x - 2x + 33
3x = 33
Divide both sides by 3
\(\frac{3x}{3}=\frac{33}{3}\)
x = 11
First number = x - 4 = 11 - 4 = 7
The numbers are 7 , 11
A cylinder has a radius of 4 millimeters. Its volume is 200.96 cubic millimeters. What is the height of the cylinder?
Answer:
3.999 millimeters.
Step-by-step explanation:
To find the height of the cylinder, we can use the formula for the volume of a cylinder:
V = πr²h
Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).
200.96 = π(4²)h
200.96 = 16πh
To solve for h, we can divide both sides of the equation by 16π:
200.96 / (16π) = h
Using a calculator, we can calculate the approximate value of h:
h ≈ 200.96 / (16 × 3.14159)
h ≈ 3.999
Therefore, the height of the cylinder is approximately 3.999 millimeters.
Show that the equations x+y+z = 4, 2x+5y-2z =3, x+7y-7z =5 are not consistent
Answer:
We can start by using the second equation to eliminate x:
2x + 5y - 2z = 3
2x = -5y + 2z + 3
x = (-5/2)y + z + 3/2
Now we can substitute this expression for x into the first and third equations:
x + y + z = 4
(-5/2)y + z + 3/2 + y + z = 4
(-5/2)y + 2z = 5/2
x + 7y - 7z = 5
(-5/2)y + z + 3/2 + 7y - 7z = 5
(9/2)y - 6z = 7/2
Now we have a system of two equations with two variables, (-5/2)y + 2z = 5/2 and (9/2)y - 6z = 7/2. We can use any method to solve for y and z, such as substitution or elimination. However, we will find that the system is inconsistent, meaning there is no solution that satisfies both equations.
Multiplying the first equation by 9 and the second equation by 5 and adding them, we get:
(-45/2)y + 18z = 45/2
(45/2)y - 30z = 35/2
Adding these two equations, we get:
-12z = 40/2
-12z = 20
z = -5/3
Substituting z = -5/3 into (-5/2)y + 2z = 5/2, we get:
(-5/2)y + 2(-5/3) = 5/2
(-5/2)y - 10/3 = 5/2
(-5/2)y = 25/6
y = -5/12
Substituting y = -5/12 and z = -5/3 into any of the original equations, we get:
x + y + z = 4
x - 5/12 - 5/3 = 4
x = 29/12
Therefore, the solution is (x, y, z) = (29/12, -5/12, -5/3). However, if we substitute these values into any of the original equations, we will find that it does not satisfy the equation. For example:
2x + 5y - 2z = 3
2(29/12) + 5(-5/12) - 2(-5/3) = 3
29/6 - 5/2 + 5/3 ≠ 3
Since there is no solution that satisfies all three equations, the system is inconsistent.
Step-by-step explanation:
Answer:
See below for proof.
Step-by-step explanation:
A system of equations is not consistent when there is no solution or no set of values that satisfies all the equations simultaneously. In other words, the equations are contradictory or incompatible with each other.
Given system of equations:
\(\begin{cases}x+y+z = 4\\2x+5y-2z =3\\x+7y-7z =5\end{cases}\)
Rearrange the first equation to isolate x:
\(x=4-y-z\)
Substitute this into the second equation to eliminate the term in x:
\(\begin{aligned}2x+5y-2z&=3\\2(4-y-z)+5y-2z&=3\\8-2y-2z+5y-2z&=3\\-2y-2z+5y-2z&=-5\\5y-2y-2z-2z&=-5\\3y-4z&=-5\end{aligned}\)
Subtract the first equation from the third equation to eliminate x:
\(\begin{array}{cccrcrcl}&x&+&7y&-&7z&=&5\\\vphantom{\dfrac12}-&(x&+&y&+&z&=&4)\\\cline{2-8}\vphantom{\dfrac12}&&&6y&-&8z&=&1\end{aligned}\)
Now we have two equations in terms of the variables y and z:
\(\begin{cases}3y-4z=-5\\6y-8z=1\end{cases}\)
Multiply the first equation by 2 so that the coefficients of the variables of both equations are the same:
\(\begin{cases}6y-8z=-10\\6y-8z=1\end{cases}\)
Comparing the two equations, we can see that the coefficients of the y and z variables are the same, but the numbers they equate to is different. This means that there is no way to add or subtract the equations to eliminate one of the variables.
For example, if we subtract the second equation from the first equation we get:
\(\begin{array}{crcrcl}&6y&-&8z&=&-10\\\vphantom{\dfrac12}-&(6y&-&8z&=&\:\:\;\;\:1)\\\cline{2-6}\vphantom{\dfrac12}&&&0&=&-11\end{aligned}\)
Zero does not equal negative 11.
Since we cannot eliminate the variable y or z, we cannot find a unique solution that satisfies all three equations simultaneously. Therefore, the system of equations is inconsistent.
From a list of 100 grade 12 students numbered 00 to 99, a sample of ten is taken. For each example below, identify what sampling method was used. Justify your choices.
a. 7, 17, 27, 37, 47, 57, 67, 77, 87, 97
b. 30, 31, 32, 33, 34, 35, 36, 37, 38, 39
c. 25, 21, 29, 28, 20, 52, 54, 50, 57, 51
d. 5, 14, 28, 38, 41, 55, 68, 70, 84,92
Answer:
Following are the solution to this question:
Step-by-step explanation:
We used sampling technique to collect samples throughout the instance of Options a and b because here each successive sample frame has the same gap of 10 (in the example) and in 'b' is 1, but we use a simple random sampling in 'b' and 'c' to collect the test because they can't follow any specific pattern from of the collecting systems here.
the following figure shows triangle abc with side lengths ab=10 bc=8 and ca=5 de is constructed parallel to ab and to originate at point d, the missing of ac
Answer:
Step-by-step explanation:
Part 1 of 2
Evaluate the function f(x)=x-7 at the given value of the variable.
a. f(13)
b. f(3)
Answer:
a)
b)-4
Step-by-step explanation:
a) f(13) = 13-7=
b) f(3)= 3-7= -4
it wants the coordinates of L.If you could give me the answer without explantion i will leave a good reveiw
SOLUTION
From the diagram,
The co-ordinates of L = ( 0 , d )
how do you convert complex numbers to polar form
Answer:
Step-by-step explanation:
Let r and θ be polar coordinates of the point P (x, y) that corresponds to a non-zero complex number z = x + iy. The polar form or trigonometric form of a complex number P is z = r (cos θ + i sin θ)
please answer correctly
will give out brainliest, a THX, a friend request, and will rate ur answer
Answer:
10 11/15
Step-by-step explanation:
the improper fraction you would use is 23/5 and 7/3
to convert improper fractions you would take the whole number multiply by the denominator and then add the numerator so 4*5 which is 20 + 3
do that to both fractions then multiply
23 7 and you will get 161/15 which simplifies to 10 11/15
5 3
Answer:
Hi there!!
Your answer is:
\(10 \times \frac{11}{15} \)
Step-by-step explanation:
\(4 \times \frac{3}{5} \)
Multiply 4 by the denominator and add to the numerator!
4×5+3
20+3
23
23/5 ×
\(2 \times \frac{1}{3} \)
2×3+1
6+1
7
7/3×
7/3 × 23/5
7× 23 = 161
3×5= 15
161/15
SIMPLIFY!
10 & 11/15
Hope this helps
1. 18x^3-2x^2+4x-1
1.1 How many terms are in 18x^3-2x^2+4x-1
The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.
The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.
The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.
In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.
In this polynomial, we have:
Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)
Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)
Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)
Term 4: -1 (This is a constant term with a degree of 0.)
We can see that there are four distinct terms separated by addition and subtraction operations:
18x³, -2x², 4x, and -1.
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Can u please help me with 3&4 I’m giving 20 point please help me
Answer:
Step-by-step explanation:
The question is in the picture.
Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16
The table shows the test scores of students who studied for a teat as a group (group a) and students who studied individually (group b).
Which would be the best measures of center and variation to use to compare the data?
Answer:
https://rr.noordstar.me/83819a0f
Answer: B
Step-by-step explanation:
I didn't waste time looking at if the data was Symmetric or skewed, because A, C and D are all false statements:
A - If it's skewed Mean wouldn't be used
C - If it's Symmetric IQR wouldn't be used
D - If it's skewed Standard Deviation wouldn't be used
A cable that weighs 8 lb/ft is used to lift 900 lb of coal up a mine shaft 450 ft deep. Find the work done. Show how to approximate the required work by a Riemann sum. (Let x be the distance in feet below the top of the shaft. Enter xi* as xi.)
Given :
Work done by a segment dx of a cable :
dW = 8dx x = 8x dx
So, work done by whole cable :
\(W=\int\limits^{450}_0 {8x} \, dx\\\\W = 4x^2|_0^{450}\\\\W = 4( 450^2)\\\\W= 810000\ ft- lb\)
Now, work done to bring coal up :
\(W'=900\times 450\ ft-lb\\\\W'=405000\ ft-lb\)
Therefore, total work done is ( 810000 + 405000 ) = 1215000 ft-lb .
Hence, this is the required solution.
find the measure of m
Answer:
47*
Step-by-step explanation:
Each corner of the square is 90*
angle CBE + angle ABE = 90*
fill in the blanks
43 + x = 90
subtract 43 from both sides
x = 47*
If 678 math majors at a conference comprise 85% of all people at the conference, how many people are at the conference?
There are total of 798 people at the conference.
How do you take the percentage?The percentage symbolizes a part out of a hundred. The word usually % tends to refer to one hundred percent. It is signified by the symbol "%." Listed below are some percentage examples: 10% is 1/10 of a fraction.For, the given question;
Let the total number of people at the conference be 'x'.
The, 85% of the total are of math majors.
The total of math majors are 678.
Thus,
85% of total = math majors
85% of x = 678
(85 × x)/100 = 678
Do the simplification;
x = (678 × 100)/85
x = 797.65
x = 798 (approx)
Therefore, the total number of present people at conference are 798.
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Solve for x by writing the equation in exponential form.
log5(x) = 2
Given :-
log 5(x) = 2To Find :-
The value of x.Solution :-
As we know that if ,
log_a(b) = c
then ,
a^c = b
Therefore Using this ,
=> x = 5²
=> x = 25
Hence the required answer is 25.
Answer:
x = 25.Step-by-step explanation:
\( \: \: \: \sf \: log_5x = 2 \\ \\ \sf \implies \: x = {5}^{2} \\ \\ \sf \implies \: x = 25\)
Marcus designed a large salt-water aquarium in the shape of a rectangular prism. The aquarium has a width of x feet. The length of the aquarium is 5 feet more than the width. The depth of the aquarium is 10 feet less than twice the width. Given the aquarium's volume in cubic feet is 22 times greater than its width in linear feet, what is the depth of the aquarium? Enter your answer in the box. depth = ft
Answer:
2
Step-by-step explanation:
Took the test.
f(x) = 4/5 x - 2
Find f(3)
Answer is a fraction
Answer:
2/5
Step-by-step explanation:
f(x) = 4/5 x - 2
Let x=3
f(3) = 4/5 *3 - 2
=12/5 -2
=12/5 -10/5
= 2/5
What is the degree of the polynomial, y^2+7x^14-10x^2?
The degree of the polynomial is 14
How to determine the degree of the polynomial?The polynomial is given as:
y^2+7x^14-10x^2
Here, we assume that the variable of the polynomial is x
The highest power of x in the polynomial y^2+7x^14-10x^2 is 14
Hence, the degree of the polynomial is 14
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A deli wraps its cylindrical containers of hot food items with plastic wrap. The containers have a diameter of 5.5 inches and a height of 3 inches. What is the minimum amount of plastic wrap needed to completely wrap 8 containers? Round your answer to the nearest tenth and approximate using π = 3.14.
51.8 in2
99.3 in2
595.8 in2
794.4 in2
The minimum amount of plastic wrap needed to completely wrap 8 containers is 794. 4 in². Option D
What is the minimum amount?The area of each circular end is:
A = πr²
A = 3.14 × (2.75)²
A = 23.68in²
The area of the rectangular side is:
A = h * circumference
circumference = 5.5in * π
circumference = 17.27in
Using the given height of 3 inches, we get:
A = 3in * 17.27
A = 51.81in²
Therefore, the total surface area of each container is:
A = 2 * 23.68 + 51.81
A = 98.17in²
To wrap 8 containers, we need to multiply the surface area of each container by 8:
Total surface area = 8 × 98.17
Total surface area = 794. 4 in²
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Please Help!
The question is below in the photo.
Answer:
Step-by-step explanation:
torque =Fr sin θ
=10×0.30 sin 30
=3×1/2
=1.5 Nm
Drag the expressions to the correct locations on the image. Not all expressions will be used.
Given the polynomial below
\((x^3-8x+6)\div(x^2-2x+1)\)Using the long division method
The answer in the equivalent form
\(_{}q(x)+\frac{r(x)}{b(x)_{}}\)Where
\(\begin{gathered} q(x)=quotient=x+2 \\ r(x)=\text{remainder}=-5x+4 \\ b(x)=\text{divisor}=x^2-2x+1 \end{gathered}\)The answer is
\(q(x)+\frac{r(x)}{b(x)_{}}=(x+2)+\frac{-5x+4}{x^2-2x+1}\)
How do you balance a firm’s need to succeed and the need for not asking the workers for perfection?
The way to balance a firm's need to succeed and the need for not asking the workers for perfection is through the offering of training to workers, which allows them to notably improve their performances autonomously, without this being directly instigated by the company's directory.
That is, through the education of workers in the different areas of their jobs, the level of the same will be improved and better results will be obtained.
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one and three fifths plus three and two thirds equals blank
Answer: 5 4/15
Step-by-step explanation:
1 3/5 + 3 2/3 = 8/5 + 11/3
Find the common denominator (5 and 3) = 15
So 8/5 equals to 24/15 because if 5 x 3 = 15 , 8 must also multiply by 3.
11/3 equals to 55/15 because if 3 x 5 = 15 , 11 must also multiply by 5.
Thus 24/15 + 55/15 = 79/15
This is an improper fraction, so converting to mixed number:
79/15 = 5 4/15 because 5 x 15 + 4 = 79
Solve the equation with rational exponents
(x-1)3/2=27
\(~~~~~~(x-1)^{\tfrac 32} =27\\\\\implies \left[(x-1)^{\tfrac 12} \right]^3 = 3^3\\\\\implies (x-1)^{\tfrac 12} = 3~~~~~~~~~;[\text{Cube root on both sides}]\\\\\implies x -1 = 9~~~~~~~~~~~~;[\text{Square both sides}]\\\\\implies x = 10\)
(4x)m+(5x+3)m+(5x+1)m=102
Find the sides of the triangle. Perimeter =102
Here is the set up:
Side 1 is 4x.
Side 2 is 5x + 3
Side 3 is 5x + 1
The perimeter is 102.
Perimeter = side 1 + side 2 + side 3
102 = 4x + 5x + 3 + 5x + 1
102 = 14x + 4
Take it from here.
the probability of heads of a coin is , and this bias is itself the realization of a random variable which is uniformly distributed on the interval . to estimate the bias of this coin. we flip it times, and define the (observed) random variable as the number of heads in this experiment. throughout this problem, you may find the following formula useful: for every positive integers , given the observation , calculate the posterior distribution of the bias . that is, find the conditional distribution of , given . for ,
The resulting conditional mean squared error of the LMS estimator, given N=3 is 0.0383746
What is conditional distribution formula?In general, the conditional distribution of X given Y does not equal the conditional distribution of Y given X, i.e., pX|Y(x|y)≠pY|X(y|x). If X and Y are independent, discrete random variables, then the following are true: pX|Y(x|y)=pX(x)pY|X(y|x)=pY(y)
What is full conditional distribution?The full conditional for a given node (parameter) is simply the product of the probability model (likelihood or prior) for that node and its parent node (at least up to a constant of proportionality).
1) fY|N(y∣N=3)=84 y^6 (1-y)^3
2)0.0636363
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