Parallel lines have equal slopes.
The line parallel to the graph of \(y = -\frac 23x - 5\) has a slope of -2/3
The equation of the line is given as:
\(y = -\frac 23x - 5\\\)
A linear equation is represented as:
\(y = mx + c\)
Such that: m represents the slope
For two lines with slopes m1 and m2.
If the lines are parallel, then:
\(m_1 = m_2\)
This means that:
A line parallel to the graph of \(y = -\frac 23x - 5\) has a slope of -2/3
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Multiply 531.7 and 9 together. Round to the nearest hundredth when necessary.
Answer:
4,785.3
Step-by-step explanation:
531.7 x 9
= 4,785.3
PLEASSSEEEE help me with all three and if they are CORRECT I will give you brainliest
Answer:
1)
\( {x}^{2 \times3} {y}^{5 \times 3} \)
\( {x}^{6} {y}^{15} \)
2) 8+4=12
3) xy³÷x⁴y²=
\( {x}^{ -3} {y}^{ - 1} \)
10.6575
Rounded in whole form
Answer:
i am pretty sure its 11
Step-by-step explanation:
bc if you look at the nymber next to 0 its .6 and they say 5 and up round UP!!
Answer:
11
Step-by-step explanation:
Rounded to Nearest Whole Number =
11
Rounded to Nearest Tenth =
10
Rounded to Nearest Hundredth =
0
Rounded to Nearest Thousandth =
0
Solve the following equations: e^−x^−e^x =3
We have to find the value of x for the given equation e^(−x^)−e^x =3. Here we can use a small trick to get the solution. We know that e^-x is the reciprocal of e^x. So we can replace e^-x with 1/e^x. Now we have the equation e^(−x^)−e^x =3 in the form e^x - 1/e^x = 3.
This is a quadratic equation in the form ax^2 + bx + c = 0. Here a = 1, b = 0, c = -3. We can solve this quadratic equation to get the value of x.
Given equation is e^(−x^)−e^x =3.We can replace e^-x with 1/e^x.Now the equation is e^(x) - 1/e^(x) = 3.
Let's take e^x as a variable and solve the equation:e^x - 1/e^x = 3Multiplying both sides by e^x, we get e^x * e^x - 1 = 3e^xNow e^(2x) - 3e^x - 1 = 0.
This is a quadratic equation in the form ax^2 + bx + c = 0. Here a = 1, b = -3, c = -1.
We can solve this quadratic equation using the quadratic formula which is given as:x = [-b ± sqrt(b^2-4ac)]/2a.
Substituting the values, we get:x = [-(-3) ± sqrt((-3)^2-4(1)(-1))]/2(1)x = [3 ± sqrt(13)]/2Hence the value of x is x = [3 ± sqrt(13)]/2.
We can solve the given equation e^(−x^)−e^x =3 using a small trick. We know that e^-x is the reciprocal of e^x. So we can replace e^-x with 1/e^x. Now we have the equation e^(−x^)−e^x =3 in the form e^x - 1/e^x = 3. This is a quadratic equation in the form ax^2 + bx + c = 0.
Here a = 1, b = 0, c = -3. We can solve this quadratic equation to get the value of x.We have, e^x - 1/e^x = 3Multiplying both sides by e^x, we get e^x * e^x - 1 = 3e^xNow e^(2x) - 3e^x - 1 = 0This is a quadratic equation in the form ax^2 + bx + c = 0. Here a = 1, b = -3, c = -1.
We can solve this quadratic equation using the quadratic formula which is given as:x = [-b ± sqrt(b^2-4ac)]/2aSubstituting the values, we get:
\(x = [-(-3) ± sqrt((-3)^2-4(1)(-1))]/2(1)x = [3 ± sqrt(13)]/2So the value of x is x = [3 ± sqrt(13)]/2.\)
Hence the solution of the equation e^(−x^)−e^x =3 is x = [3 ± sqrt(13)]/2.
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Is .083 greater than .81
Answer:
no .083 is less than .81
good luck buddy
Answer:
no its is not
Step-by-step explanation:
HELP ASAP PLEASE! THANKS!!!
Using it's concept, the range of the function is given by:
y ≥ 1
What is the range of a function?
The range of a function is composed by the set that contains all output values for the function. Considering the graph of the function, the range is given by all the values of y, which compose the vertical axis of the graph.
Looking at this graph, the function assumes values of 1 and greater, hence the range of the function is given by:
y ≥ 1.
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help please
i don't understand
Answer:
I believe it has 9 edges, comment if u need me to explain more
Answer:
6
Hope it helps!
Consider a separation performed on a 35.0 mm long open tubular column with a 0.50 mm diameter, and a 2.0 μm thick stationary phase. Compound A eluted at 12.46 min, compound B eluted at 13.12 min, and the unretained solvent eluted at 1.265 min. What are the adjusted retention times, tr\', and retention factors, k, for compounds A and B?
What is the relative retention, alphar, for this separation?
The width at half-height, w1/2, of the peak for compounds A and B are 0.141 min and 0.272 min, respectively. Find the number of theoretical plates, N, and plate height, H, for each compound.
Relative retention (α ) is 1.06
What is relative retention ( α)?This factor gives an idea as to how far two compounds can be separated by a given stationary phase. For any two compounds 1 and 2, the relative retention, α is the ratio of their adjusted retention times. Hence, α= t'R2 / t'R1 . relative retention ( α) has to be always more than 1.
For A,
Retention (\(t_r_A\)) = 12.46
Time
Baseline peak width (W) = 0.141
Number of theoretical plates, N(A) = 16 (\(t_r\)/w)²
= 16(12.46/0.141)²
= 124,944.7
For B,
Retention Time (\(t_r_B\)) = 13.12
Baseline peak width (w) = 0.272
Number theoretical plates, N(B) = 16 (\(t_r\)/w)²
= 16 (13.12/0.272)²
= 37,226.3
\(\textup{Adjusted retention time,} t_R_'=t_R-t_m\)
\(\textup{Retention factor,} k=\frac{t_R_'}{t_m}\)
For A
\(t_R\)' = (12.46 min) - (1.265min) = 11.195 min
Retention factor = 11.95/1.265 = 8.85
For B
\(t_R\)' = (13.12 min) - (1.265 min) = 11.855
Retention Factor = 11,855/ 1,265 = 9.37
\(\textup{Relative Retention }, \alpha =\frac{t_R_'(B)}{t_R_'(A)}\)
\(=\frac{9.37}{8.85} = 1.06\)
Hence, relative retention (α) is 1.06
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Pls help me and I’ll give brainliest
Answer:
-2
Step-by-step explanation:
do you need an walk through?
If the coefficient of the determination is 0. 63, what is the
percent of R^2?
a. 63%
b. 37%
c. 0. 63
d. 0. 37
Answer:
63%
Step-by-step explanation:
The coefficient of determination, R^2, represents the proportion of the variance in the dependent variable that can be explained by the independent variable(s). To convert the coefficient of determination from a decimal to a percentage, you multiply it by 100.
In this case, the coefficient of determination is given as 0.63. To find the percentage of R^2, we multiply 0.63 by 100:
0.63 * 100 = 63
Therefore, the percent of R^2 is 63%. Thus, the correct answer is option a. 63%.
please help i’ll give brainliest
Grasshoper and Rabbits is correct answer .
The 5th term of an arithmetic sequence is 8 and the 10th term is 28. Find a and d.
a = -8 and d = 4 satisfy the conditions of the the 5th term of an arithmetic sequence is 8 and the 10th term is 28.
What is an arithmetic sequence?
In an arithmetic sequence, each term is equal to the previous term plus a common difference (d).
Let's use this information to set up two equations using the given values:
The 5th term of the sequence: a + 4d = 8 (since the 5th term is a+4d)
The 10th term of the sequence: a + 9d = 28 (since the 10th term is a+9d)
Now we have two equations with two variables (a and d). We can solve for these variables by using a system of equations:
a + 4d = 8 (equation 1)
a + 9d = 28 (equation 2)
Subtracting equation 1 from equation 2 gives:
5d = 20
Therefore, d = 4.
Now we can substitute d = 4 into either equation 1 or equation 2 to solve for a. Let's use equation 1:
a + 4d = 8
a + 4(4) = 8
a + 16 = 8
a = -8
Therefore, the first term of the arithmetic sequence is -8, and the common difference is 4.
To check that these values are correct, we can verify that the 5th and 10th terms of the sequence match the given values of 8 and 28, respectively:
5th term = a + 4d = -8 + 4(4) = 8
10th term = a + 9d = -8 + 9(4) = 28
Therefore, a = -8 and d = 4 satisfy the conditions of the problem.
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Complete question is: a = -8 and d = 4 satisfy the conditions of the the 5th term of an arithmetic sequence is 8 and the 10th term is 28.
Solve the following equation for the variable x. Show your complete work (looking for exact steps not just the answer) 2+x+6-2+8= 24
Two kinds of tickets to an outdoor concert were sold: lawn tickets and seat tickets. Less than 400 tickets in total were sold. Lawn tickets cost $30 each and seat tickets cost $50 each. The organizers want to make at least $14,000 from ticket sales.
Write a system of inequalities to represent the situation. Be sure to define your variables.
Answer:
Tickets to sit on the bench (b) = 150
Tickets to sit on the lawn (l) = 200
Step-by-step explanation:
Tickets to sit on a bench (b)cost $75 each.
Tickets to sit on the lawn (l) cost $40 each
350 tickets had been sold
$19,250 had been raised through tickets sales
This forms a simultaneous equation:
b + l = 350 ... (i)
75b + 40l = 19,250 ... (ii)
Multiplying (i) by 40 and (ii) by 1 we get;
40b + 40l = 14,000 ... (i)
75b + 40l = 19,250 ... (ii)
Subtracting (ii) - (i) we get;
35b = 5250
b = 5250 ÷ 35 = 150
Answer:
X+=4
Step-by-step explanation:
I did it
in the formula, =1+(2-3)+5/6-6^2, what will access evaluate first?
in the formula, =1+(2-3)+5/6-6^2, The final result of the formula is -35.1667.
In the formula =1+(2-3)+5/6-6^2, the order of operations dictates that the exponentiation operator (^) is evaluated first, followed by multiplication and division from left to right, and then addition and subtraction from left to right.
So, access will evaluate 6^2 first, which equals 36. Then, it will evaluate the division 5/6, which equals 0.8333 (rounded to four decimal places).
Next, it will evaluate the subtraction (2-3), which equals -1. Then, it will evaluate the addition (1+(-1)), which equals 0. Finally, it will evaluate the multiplication (-6 * 6), which equals -36.
Putting it all together, we get:
=1 + (2-3) + 5/6 - 6^2
= 1 + (-1) + 0.8333 - 36
= -35.1667
Therefore, the final result of the formula is -35.1667.
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Jade wants to verify that the expression 5(3x-6) is equivalent to 15x - 30. She substitutes 2 into each expression and
evaluates each one. How will she know if 5(3x-6) is equivalent to 15x - 30?
They are equivalent if the two values are the same.
They are equivalent if the value for 5(3x + 6) is greater.
They are equivalent if the value for 15x + 30 is greater.
O They are equivalent if one value is negative and the other value is positive.
Save and Exit
Mark this and return
Submit
Next
5(3x-6) is equivalent to 15x - 30 if they are equivalent if the two values are the same.
What is expression?An expression is a set of terms combined using the operations +, – , x or , /.
Given expression:
5(3x-6) is equivalent to 15x - 30.
If we put x=2 in both expression, we get finite value.
To check both the expression are equal or not we have to solve by putting the value.
So,
They are equivalent if the two values are the same otherwise not.
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X varies jointly as y and z.
Write an equation that express each relationship. Then solve the equation for y.
An equation that express each relationship for the joint variation is X = kyz. Solving for y will give the equation y = X/(kz)
What is joint variationJoint variation is a mathematical concept that describes the relationship between two or more variables.
If X varies jointly as y and z, we can express this relationship mathematically using the formula:
X = k × y × z
X = kyz
where k is a constant of proportionality.
We can solve for y by dividing both sides by kz follows:
X/kz = kyz/kz
X/(kz) = y
Therefore, the equation that express each relationship for the joint variation is X = kyz. And the equation solved for y is y = X/(kz).
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lb. = 196 oz. how many pounds is it?
Answer:
12.25
Step-by-step explanation:
Please help me with this question!!!!!
h = 11.9 cm
cos = adjacent/ hypotenuse
therefore:
cos(24) = h/ 13
rearrange:
h = 13cos(24)
put into calculator:
h = 11.8760...
rounded to one decimal point:
h = 11.9cm
Janie was asked to bring water for her daughter's soccer team. The coach told her he wants each player to drink 1 8 gallon of water after a game. There are 9 players on the team. How much water should Janie bring?
Answer:
1 gallon and 1 pint
Step-by-step explanation:
I guess that the actual amount of water needed per player is 1/8 of gallon and not 18 gallons.
You will need to bring 9 x 1/8 = 9/8 = 1 ¹/₈ gallons or 1 gallon and 1 pint
1 gallon = 4 quarts = 8 pints = 16 cups = 128 ounces
or
1 gallon = 3.785 liters
The US is one of the few countries (along with Liberia, and Myanmar) that still uses the imperial system to measure things, e.g. inches, feet, yards, pounds, miles, pints, gallons, etc. The rest of the world uses the metric system, e.g. meters, liters, kilograms, etc.
Answer:
1 1/8
Step-by-step explanation:
i did it on edge
\(x-4/5-x+1/6=1/3\)
The equation → x - 4/5 - x + 1/6 = 1/3 will have infinitely many solutions.
What is an equation?
A equation in mathematics is a mathematical statement depicting that the values of two mathematical expressions are equal. Some examples representing equations are -
y = 5x + 4
2x + 3y = 5x + 8π
cos(ny) = sin(πx)
Given is the following equation -
x - 4/5 - x + 1/6 = 1/3
We have -
x - 4/5 - x + 1/6 = 1/3
x - x - 4/5 + 1/6 = 1/3
- 4/5 + 1/6 = 1/3
Now, [x] will cancel out for ever possible value of [x], therefore, it will have infinitely many solutions
Therefore, the equation → x - 4/5 - x + 1/6 = 1/3 will have infinitely many solutions
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If p(a | b) = 0.4, p(b) = 0.8, and p(a) = 0.5, are the events a and b independent?
The events A and B are not independent.
Given that,
P(A|B) = 0.4
P(A) = 0.5
P(B) = 0.8
Two events A and B are said to be independent, if P(A∩B) = P(A) P(B)
We have, P(A|B) = P(A∩B)/P(B)
Therefore, P(A∩B) = P(A|B) P(B) = 0.4 x 0.8 = 0.32
Now P(A) P(B) = 0.5 x 0.8 = 0.4
So P(A∩B) ≠ P(A)P(B)
Therefore, the events A and B are not independent.
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I will give brainly :)
Find the missing side of this right
triangle.
х
9
11
x = V[?]
Answer:
Uh-
Look below.
Step-by-step explanation:
\(11^2+9^2=x^{2} \\\\121+81=x^{2} \\202=x^{2} \\\sqrt{202}\)
The measure of the side length (that is hypotenuse) of the right-angle triangle will be √202 units.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
Let the missing side of this right triangle be х.
Then the measure of the side length (that is hypotenuse) of the right-angle triangle will be
x² = 9² + 11²
x² = 81 + 121
x² = 202
x = √202
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Write three different complex fractions that simplify to 1/4.
Answer:
7/11 over 28/11
15/4 over 15
13/16 over 13/4
Step-by-step explanation:
First to answer correctly gets brainliest
Find the measure of the angles of triangle BDE, where BD is the altitude drawn to the hypotenuse of isosceles right triangle ABC and DE is a perpendicular bisector of BC.
Okay, here are the steps:
* Triangle ABC is an isosceles right triangle. This means angles A and C are equal.
* BD is the altitude drawn to the hypotenuse BC. This means BDE forms another right triangle with right angle at B.
* DE is the perpendicular bisector of BC. This means DE splits BC into two equal segments.
* Since BC is split into two equal segments, angles BDE and DBE must also be equal. We can call them both x.
* In the big triangle BDE:
- Angle at B is 90 degrees (right angle)
- One other angle is x (as discussed)
- Interior angles of a triangle sum to 180 degrees
So: 90 + x + x = 180
=> 2x = 90
=> x = 45
Therefore, the measures of the angles of triangle BDE are:
BDE = 45 degrees
DBE = 45 degrees
Angle at B (90 degrees)
Does this make sense? Let me know if you have any other questions!
Which linear function represents the line given by the point-slope equation y - 3 = 4(x - 5)?
O f(x) = 4x - 17
Of(x) = x - 20
O f(x) = 7x-5
f(x) = 4x - 2
Answer:D.f(x)=4x-10
Step-by-step explanation:
2020edge
A company offers premium cable for 39.96 pet month plus a one time set fee. The total cost for setup and 6 months I'd 264.70 wrote and solve a linear equation
The cost per month is 39.96, the setup fee is 24.94, and the equations are x = 39.96 and 6x + y = 264.70.
What is equation?A formula known as an equation uses the equals sign to denote the equality of two expressions.
Given data:
A company offers premium cable for 39.96 per month plus a one-time set fee,
The total cost for setup and 6 months I'd 264.70
Write the equation as shown below,
The number of months × price per month + one-time setup fee = total cost
Calculate the equations,
x = number of months, y = setup fees
1 × x + y = 39.96 ⇒ x = 39.96 (y = 0 for one month)
6 × x + y = 264.70 ⇒ 6x + y = 264.70
Solve the above equation by the elimination method
x = 39.96 and y = 24.94
Therefore, the cost per month is 39.96, the setup fee is 24.94, and the equations are x = 39.96 and 6x + y = 264.70.
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help me RQ i need the answer i give out brainlist and 5.0 if ur correct !!!
Answer:
C) the length of each shape will alternate between even and odd numbersStep-by-step explanation:
the rest are incorrect
What is UW? For brainliest
Answer:
UW = 5
Step-by-step explanation:
use the altitude rule and set up a proportion:
4/UW = UW/6.25
cross-multiply:
UW² = 25
UW = \(\sqrt{25}\)
UW = 5