The given equation solved for z is z = s/(r - 6c⁴)
Solving linear equationsFrom the questions, we are to solve the given equation for the specified value
The given equation is
s = zr - 6zc⁴
The specified value is z.
Thus, we are to solve for z.
Solving for z
s = zr - 6zc⁴
First, factor out z
s = z(r - 6c⁴)
Now, divide both sides by r - 6c⁴
s/(r - 6c⁴) = z(r - 6c⁴)/r - 6c⁴
s/(r - 6c⁴) = z
∴ z = s/(r - 6c⁴)
Hence, the given equation solved for z is z = s/(r - 6c⁴)
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Can someone please help me answer question 17
Answer:
Concepts: Basic Linear Algebra
X Cartons 1 Carton = 12 eggs Y Carton 1 Carton = 18 eggs72 eggs total Hence 12X + 18Y = 72 To meet your question guidelines: 12X+18Y-72=0find the product(x+2)(y^2+2y-12)
Answer::
\(=xy^2+2xy-12x+2y^2+4y-24\)Explanation:
Given the expression:
\(\mleft(x+2\mright)\mleft(y^2+2y-12\mright)\)First, distribute the left bracket:
\(=x\mleft(y^2+2y-12\mright)+2\mleft(y^2+2y-12\mright)\)Next, open the bracket:
\(=xy^2+2xy-12x+2y^2+4y-24\)Heather buys a TV for $2,100, a game system for $400, and a game for $50. If sales tax is 8% what will she pay in tax?
Answer:
2754
Step-by-step explanation:
=2550
108%=x
108x2550/108
275400/100
2754
4. Determine whether each equation defines y as a function of x.
a) x4 + y = 16
b) x2 + y2 = 100
c) x+y3 = 64
Answer:
I believe it is A!!!!!
Step-by-step explanation:
I took the test E2020
27 points if someone gets it right.
A bag has 4 oranges, 1 red rock, 2 green rocks, 6 white rock, and 5 black rocks. You randomly pull a rock out of the bag, put it back, then pull another one.
What is the probability of getting a white then a white? Write your answer as a fraction
Answer: 1/6
Step-by-step explanation:
I need help one last time.
Here are the answer choices.
Y = 72
Y = 16
Y = 32
Y = 1
Answer:
y = 32
Solving Way #1:
This way uses the "tip" they give us of finding the relation between the first two values and then applying it to the second x.
k = \(\frac{y}{x}\)
2 = \(\frac{16}{8}\)
-
y = kx
y = (2)(16)
y = 32
Solving Way #2:
Since they vary directly which each other, we can set up a proportion to solve. I have y values on the top and x values on the bottom.
\(\frac{16}{8} =\frac{y}{16}\)
256 = 8y
32 = y
y = 32
Either way, when x is 16 y is 32.
The circumference of a circle is 31.4 inches. Enter the radius of the circle, in inches. Round your answer to the nearest whole number.
Answer:
Should be 5 in.
Step-by-step explanation:
C=2*Pi*R
31.4=2*3.14*R
substitute 5 for radius= 2*5=10
10*3.14=31.4
Evaluate the function (f-g)(x) for x=6
Answer: I think its 8
Step-by-step explanation:
Consider each of the following statements and state the Null and Alternate Hypothesis. - The average student owes at least $75,000 in student loans. - The label on a soft drink bottle states that it contains on the average exactly 67.6 fluid ounces. - Most hospitals' service goal is to respond to medical emergencies with a mean time of 12 minutes or less
The label on a soft drink bottle states that it contains, on average, exactly 67.6 fluid ounces.
Most hospitals' service goal is to respond to medical emergencies with a mean time of less than 12 minutes.
Statement 1:
Null Hypothesis (H₀): The average student owes less than $75,000 in student loans.
Alternate Hypothesis (H₁): The average student owes at least $75,000 in student loans.
Statement 2:
Null Hypothesis (H₀): The label on a soft drink bottle states that it contains, on average, less than 67.6 fluid ounces.
Alternate Hypothesis (H₁): The label on a soft drink bottle states that it contains, on average, exactly 67.6 fluid ounces.
Statement 3:
Null Hypothesis (H₀): Most hospitals' service goal is to respond to medical emergencies with a mean time of 12 minutes or more.
Alternate Hypothesis (H₁): Most hospitals' service goal is to respond to medical emergencies with a mean time of less than 12 minutes.
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Find f(3) for the
piece-wise function.
f(x) =
2x
HIN
X
+
if x < 1
if x ≥ 1
f(3) = [?]
Enter
The value of the piecewise function for f(3) is 4
How to evaluate the piece-wise function for f(3)From the question, we have the following parameters that can be used in our computation:
f(x) = 2x if x < 1
f(x) = 1/2x + 5/2 if x >= 1
The function f(3) implies that we make use of the function
f(x) = 1/2x + 5/2
This is because it is valid for x >= 1
substitute the known values in the above equation, so, we have the following representation
f(3) = 1/2 * 3 + 5/2
Evaluate
f(3) = 4
Hence, the piecewise function for f(3) is 4
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What determines where the graph will cross the x-axis?.
The graph will cross the x-axis if the multiplicity of the real root is odd.
What is polynomial?
In arithmetic, a polynomial is an expression consisting of indeterminates and coefficients, that involves solely the operations of addition, subtraction, multiplication, and positive-integer powers of variables.
Main body:
For polynomials, the graph will cross the x-axis if the multiplicity of the real root is odd, and just touch the x-axis if the multiplicity of the real root is even. (The multiplicity of the root is the number of times it occurs as a root)
(a) y=(x+1)^2(x-2) The graph crosses at x=2 (multiplicity 1) but touches at x=-1 (mulitplicity 2)
(b) y=(x-4)^3(x-1)^2 The graph crosses at x=4 (multiplicity 3) but touches at x=1 (m=2)
(c) y=(x-3)^2(x+4)^4 The graph touches at x=3 and x=-4 as the multiplicities are both even.
The graphs: (a) black, (b) red, (c) green
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In a certain company, the measured thickness m of a helicopter blade must not differ from the standard s by more than 0.14 millimeters. The manufacturing engineer expresses
Kthis as Im-s/s0.14. Find the limits of m if the standards is 18.92 millimeters.
What is the solution? Select the correct choice below and fill in any answer boxes within your choice.
If In a certain company, the measured thickness m of a helicopter blade must not differ from the standard s by more than 0.14 millimeters. The solution is 18.78 ≤m≤ 19.06.
How to find the limits?In order to find the limits we would have to add Standard 18.92 to the expression and as well less the standard from the expression 0.14.
Given data:
Manufacturing engineer expression /m-s/ ≤ 0.14
Standard = 18.92 millimeters
Hence,
Limit of m:
18.92 ± 0.14
m - 18.92 ≤ 0.14
= 19.06
And
-(m- 18.92) ≤ 0.14
m ≥ 18.78
So,
Solution =18.78 ≤m≤ 19.06
Therefore the solution is 18.78 ≤m≤ 19.06.
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Jodie started washing her car at 10:15 am she finished at 10:50 am how long did it take jody to wash her car.
Answer:
35 minutes
Step-by-step explanation:
this requires us to find out how long it took and because both times given to figure this out are within the same hour it is easy to figure out in this case, 50 - 15 = 35. This is not as simple with all problems like this but because of the times given in this problem its much easier.
10x+5 is greater than or equal to 2x-3
Answer:
x ≥ - 1
Step-by-step explanation:
10x + 5 ≥ 2x - 3 ( subtract 2x from both sides )
8x + 5 ≥ - 3 ( subtract 5 from both sides )
8x ≥ - 8 ( divide both sides by 8 )
x ≥ - 1
Set up a system of equation and solve for x and y;Michelle finds some dimes and nickels, total 20 coins in her change purse. She counts $1.40 altogether. How many (x) dimes and (y) nickels does she have?
Therefore , the solution of the given problem of equation comes out to be Michelle has 12 nickels and 8 dime in her coin purse.
What is equation?Complex algorithms frequently employ variable words to demonstrate coherence between two opposing assertions. Equations are academic expressions that are used to demonstrate the equality of different academic figures. Consider the information provided by y + 7, when combined with generate y + 7, raising instead produces b + 7 within this situation, as opposed to another technique that could divide 12 into two parts.
Here,
Permit x and y to represent the amount of dimes and nickels, respectively.
Since there are 20 pieces in total, the following is true:
=> x + y = 20 ...(1)
=> 10x + 5y = 140 ...(2)
We can now solve for x in terms of y using equation (1):
=> x = 20 - y
When we enter this formula in place of x in equation (2), we obtain:
=> 10(20 - y) + 5y = 140
By enlarging the parentheses and streamlining, we obtain:
=> 200 - 10y + 5y = 140
Further simplification results in:
=> -5y = -60
When we multiply both parts by -5, we get:
=> y = 12
To find x, we can solve equation (1) by substituting this number of y. The result is:
=> x + 12 = 20
=> x = 8
Michelle has 12 nickels and 8 dime in her coin purse.
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B. Sketch the graph of the following given a point and a slope 2 a. P (0,4); m 3 b. P (2, 3): m 2 c. P (-3,5); m = -2 d. P (4, 3): m= 3 3 e. P (3,-1) m=-- 4
The graph of the line with a point (3, -1) and a slope -4 is as shown below;
To sketch the graph of the following given a point and a slope, the formula that must be used is `y-y1 = m(x-x1)` where (x1, y1) is the given point and m is the given slope. To find the graph, this formula must be applied for each given point. The graph of each given point with its corresponding slope is as follows;
a. P (0,4); m 3
The equation of the line is: `y-4=3(x-0)`
Simplify: `y-4=3x` or `y=3x+4`The graph of the line with a point (0, 4) and a slope 3 is as shown below;b. P (2, 3): m 2The equation of the line is: `y-3=2(x-2)`Simplify: `y-3=2x-4` or `y=2x-1`
The graph of the line with a point (2, 3) and a slope 2 is as shown below;
c. P (-3,5); m = -2The equation of the line is: `y-5=-2(x+3)`
Simplify: `y-5=-2x-6` or `y=-2x-1`
The graph of the line with a point (-3, 5) and a slope -2 is as shown below;
d. P (4, 3): m= 3
The equation of the line is: `y-3=3(x-4)`
Simplify: `y-3=3x-12` or `y=3x-9`The graph of the line with a point (4, 3) and a slope 3 is as shown below;e. P (3,-1) m=-- 4The equation of the line is: `y-(-1)=-4(x-3)`
Simplify: `y+1=-4x+12` or `y=-4x+11`
The graph of the line with a point (3, -1) and a slope -4 is as shown below;
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The slope of the line is negative, which means the line slants downward as it moves from left to right.
To sketch the graph of the following given a point and a slope we can follow the following steps:
Step 1: Plot the given point on the coordinate plane.
Step 2: Use the given slope to determine a second point.
The slope is the ratio of the rise over run and tells us how to move vertically and horizontally from the initial point.
Step 3: Connect the two points to create a line that represents the equation with the given slope and point.
P (0, 4); m = 3Since we know the point (0,4) and slope m = 3 ,
we can use slope-intercept form to find the equation of the line.
Slope-intercept form is:y = mx + bwhere m is the slope and b is the
y-intercept.
To find b, we can substitute the given values:
x = 0,
y = 4, and
m = 3y = mx + b4
= 3(0) + bb
= 4
Now we know that the y-intercept of the line is 4,
so we can write the equation as:y = 3x + 4
The graph of this equation is shown below:
The slope of the line is positive, which means the line slants upward as it moves from left to right.
P (2, 3); m = 2
Since we know the point (2,3) and slope m = 2 ,
we can use slope-intercept form to find the equation of the line.
Slope-intercept form is:y = mx + bwhere m is the slope and b is the
y-intercept.
To find b, we can substitute the given values:
x = 2,
y = 3, and
m = 2y
= mx + b3
= 2(2) + bb
= -1
Now we know that the y-intercept of the line is -1, so we can write the equation as:y = 2x - 1
The graph of this equation is shown below:
The slope of the line is positive, which means the line slants upward as it moves from left to right.
P (-3, 5); m = -2Since we know the point (-3,5) and slope m = -2 ,
we can use slope-intercept form to find the equation of the line.
Slope-intercept form is:
y = mx + bwhere m is the slope and b is the y-intercept.
To find b, we can substitute the given values:x = -3, y = 5, and m = -2y = mx + b5 = -2(-3) + bb = -1
Now we know that the y-intercept of the line is -1, so
we can write the equation as:y = -2x - 1
The graph of this equation is shown below:
The slope of the line is negative, which means the line slants downward as it moves from left to right.P (4, 3); m = 3
Since we know the point (4,3) and slope m = 3 , we can use slope-intercept form to find the equation of the line.
Slope-intercept form is:y = mx + bwhere m is the slope and b is the
y-intercept.
To find b, we can substitute the given values:
x = 4,
y = 3, and
m = 3y
= mx + b3
= 3(4) + bb
= -9
Now we know that the y-intercept of the line is -9, so we can write the equation as:y = 3x - 9
The graph of this equation is shown below:
The slope of the line is positive,
which means the line slants upward as it moves from left to right.P (3,-1); m = -4
Since we know the point (3,-1) and slope m = -4 ,
we can use slope-intercept form to find the equation of the line.
Slope-intercept form is:y = mx + b
where m is the slope and b is the y-intercept.
To find b, we can substitute the given values:x = 3, y = -1, and m = -4-1 = (-4)(3) + bb = 11
Now we know that the y-intercept of the line is 11, so we can write the equation as:y = -4x + 11
The graph of this equation is shown below:
The slope of the line is negative, which means the line slants downward as it moves from left to right.
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solve the equation 5x+x-7=4x-2-x
Answer:
\(x=\frac{5}{3}\)
Step-by-step explanation:
Brainliest pls?
What are the 3 ways in math?
Step-by-step explanation:
Today, we are going to be talking about the three-way principle of mathematics. Basically, there are three ways to solve a problem in math: verbally, graphically, or by example. In this lesson, we will discuss each of these principles by solving sample problems using each type.
A cylindrical can holds three balls. The balls touch the top, bottom and sides of the can. The radius of one ball is 6 cm. Find the volume of the remaining space inside the cylinder. Use 3.14 for π. please someone help me.
Answer:
16286.01632
Step-by-step explanation:
V=πr2h=π·122·36≈16286.01632
1. Solve: 6 yd. 9 ft. 4 in. x 2 =
A. 12 yd. 18 ft. 8 in.
B. 18 yd. 12 ft. 8 in.
C. O yd. 18 ft. 8 in.
D. 7 yd. O ft. 8 in.
Answer:
A.
Step-by-step explanation:
6*2 = 12
9*2 = 18
4*2 = 8
Answer is 12 yd. 18 ft. 8 in.
If, BC = 10 and the angle a = 25 degrees, find any missing angles or sides. Give your answer to at least 3 decimal digits.
Given that BC = 10
\(\propto\text{ = 25}\)AC is the hypotenuse
BC is the opposite angle of alpha
AB is the adjacent
To get Beta
\(\begin{gathered} \beta\text{ = 180 - }\alpha\text{ - 90} \\ \beta\text{ = 180 - 25 - 90} \\ \beta\text{ = 65} \end{gathered}\)To get AC, we can use the trigonometric function
\(\sin \text{ 25=}\frac{10}{AC}\)AC = 10/ sin 25
AC = 10/ 0.423
AC = 23.662
To get AB
\(\tan \text{ 25 = }\frac{10}{AB}\)AB = 10 / tan 25
AB = 10 / 0.466
AB = 21. 445
Consider the line 4x+2y=-7.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
Answer:
To find slop from the given equation,
Slope (m) =
\( \frac{ - \: cofficients \: of \: x }{cofficient \: of \: y} \)
So, slope of this equation is - 2
For perpendicular case,
M1 . M2 = - 1
Thus, m2 = 2 ( for this equation)
Similarly,
For parallel case,
M1 = m2
Thus, m2 = - 2 ( for this equation)
Keep asking sir/maamRound each fraction to help you estimate the solution for the following equation:1/6 + 5/6 = ____A. 0B. 1/2C. 1D. 2
The estimation of the equation 1/6 + 5/6 is 1 (option C).
For rounding a fraction to the nearest whole number, use the "rounding half up" rule if necessary.
To estimate the solution for the equation 1/6 + 5/6, we can round each fraction to the nearest whole number.
The fraction 1/6 is closer to 0 than it is to 1, so we will round it to 0.
The fraction 5/6 is closer to 1 than it is to 0, so we will round it to 1.
Now we can estimate the solution for the equation as follows:
0 + 1 = 1
Therefore, the estimated solution for the equation 1/6 + 5/6 is 1.
The correct answer is C. 1.
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the mean weight of an adult is 66 kilograms with a variance of 144 . if 123 adults are randomly selected, what is the probability that the sample mean would be greater than 66.7 kilograms? round your answer to four decimal places.
Answer:
The mean weight of an adult is 66 kilograms with a variance of 144. If 123 adults are randomly selected, the sample mean would follow a normal distribution with a mean of 66 kilograms and a standard deviation of sqrt(144/123) = 3/sqrt(123) kilograms.
We can standardize the sample mean to find the probability that it would be greater than 66.7 kilograms. The standardized value for 66.7 is (66.7 - 66) / (3/sqrt(123)) = 2.3094.
Using a standard normal distribution table, we find that the probability of a standard normal variable being greater than 2.3094 is approximately 0.0104.
Therefore, the probability that the sample mean would be greater than 66.7 kilograms is approximately 0.0104, rounded to four decimal places.
Step-by-step explanation:
24)The table represents some points on the graph of a linear function. Which function represents the same relationship?
A) g(x) = 2x
B) g(x) = x - 3
C) g(x) = x - 8
D) g(x) = 2x - 8
25)Which system of equations could be used to solve for the point of intersection of the lines on the graph?
A) y = 3/4x + 1 and y = -4/3x + 9
B) y = 3/4x - 1 and y = -4/3x + 9
C) y = 3/4x - 1 and y = -3/4x = 9
D) y = 4/3x + 1 and y = -4/3x + 9
Answer:
A) D) g(x) = 2x - 8
2) B) y = 3/4x - 1 and y = -4/3x + 9
Step-by-step explanation:
1)
In the table, we have the points
(5, 2)
(7, 6)
(9, 10)
(10, 12)
This seems to be a linear relationship, so let's try that:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1)
If we use the first two points, we get the slope:
a = (6 - 2)/(7 - 5) = 4/2 = 2
if we use the first and last point, we get the slope:
a = (12 - 2)/(10 - 5) = 10/5 = 2
Then we can conclude that this is a linear relationship with a slope equal to 2.
y = 2*x + b
To find the value of b, we can just replace any of the points of the data table in the equation, for example, i will use the point (5, 2).
this means that x = 5, and y = 2.
2 = 2*5 + b
2 = 10 + b
2 - 10 = b
-8 = b
Then the equation is:
y = 2*x - 8
the correct option is: D) g(x) = 2x - 8
2) Here we have two lines, notice that we can with just looking at the image, know the y-intercept of each line.
The one with a positive slope (grows to the right) has a y-intercept = - 1.
The one with a negative slope (grows to the left) has a y-intercept = 9.
The two options that match this condition are:
B) y = 3/4x - 1 and y = -4/3x + 9
C) y = 3/4x - 1 and y = -3/4x + 9
Where the only difference is the slope of the black line.
so et's check which slope matches that line.
In the graph we can see that it passes through the points:
(0, 9) and the point (6, 1)
Then the slope is:
a = (1 - 9)/(6 - 0) = -8/6 = -4/3
Then the correct option is where the negative slope is -4/3, that one is
B) y = 3/4x - 1 and y = -4/3x + 9
someone please help me with these
The standard equation for each parabola is given as follows:
Parabola 1: (x + 3)² = -4(y - 3).Parabola 2: (x - 2)² = 4(y + 5).How to define the standard equation of a parabola?The equation of a parabola of vertex with coordinates (h,k) is given according to the rule presented as follows:
(x - h)² = 4p(y - k).
The coordinates of the vertex of each parabola is given as follows:
Parabola 1: (-3,3).Parabola 2: (2,-5).Hence the values of h and k for each parabola are given as follows:
Parabola 1: h = -3, k = 3.Parabola 2: h = 2, k = -5.The directrix of a parabola is given by the horizontal line with definition presented as follows:
y = k - p.
Hence the value of p of each parabola is obtained as follows:
Parabola 1: Directrix y = 4, hence 3 - p = 4 -> p = -1.Parabola 2: Directrix y = -6, hence -5 - p = -6 -> p = 1.More can be learned about the equation of a parabola at brainly.com/question/29210301
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Write as an exponent with the base of b:
\(bb^{m}\)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\(b. {b}^{m} = {b}^{1 + m} \)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Leanne works at a restaurant. For dinner, there is a choice of 3 main dishes and 2 sides.
Main Dish: Burger(B), Chicken (C), Pasta (P)
Sides: Apple (A), Fries (6)
Leanne lists all possible ways a person could order their dinner. She lists these combinations:
BA, BF, CA, CF, PA, PF, AB, FB, AC, FC, AP, FP.
Is Leanne correct? Use the drop-down menus to explain your reasoning.
Click the arrows to choose an answer from each menu.
For each main dish, there are Choose... different sides a person can choose. So, there are
a total of Choose... possible ways a person could choose their dinner. Leanne is
Choose...
Answer:
I feel like its that but im rlly not sure.
Step-by-step explanation:
Leanne's list is incorrect and there are 3 different sides a person can choose. So, there are a total of 6 possible ways a person could choose their dinner.
How to determine the number of combinations?The given parameters are:
Main Dish: B, C and P
Sides: A and F
Using the above parameters, the combination of dishes are:
BA, BF, CA, CF, PA and PF
Hence, we can conclude that Leanne list is incorrect
Also, we have:
Dish = 3
Sides = 2
So, the number of dinner to choose is:
Dinner = 3 * 2 = 6
Hence, a person could choose their dinner in 6 ways
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PLEASE HELP!!! The line graph shows Calvin’s savings account balance at the end of each month for 6 months.
About how much more money did Calvin have in his account at the end of June than at the end of April?
Assessment graphic
$50
$75
$90
$25
Answer:
$20
Step-by-step explanation:
Answer:
I know the answer now its 25$
Step-by-step explanation:
I figured it out
A number less than twenty five
Answer:
A number less than 25 is 24 or below that.
Step-by-step explanation:
Hope this helps! Not sure if this is what you need but I hope it is