Answer:
Explanation:
Given that Factory A produces 400lb Jelly beans and 100lb chocolate per hour. In order to produce an order of 12600lb of Jelly beans and 9400lb of chocolate, the number of hour needed is shown below:
\(\frac{12600}{400}+\frac{9400}{100}=\frac{251}{2}=125.5hrs\)Factory B produces 150lb Jelly beans and 350lb chocolate per hour. In order to produce an order of 12600lb of Jelly beans and 9400lb of chocolate, the number of hour needed is shown below:
\(undefined\)If 1+1 = x - 7
What is the value of X?
Answer:
1 cause its going to be one sometimes
Answer:
x = 9
Step-by-step explanation:
1+1 = x - 7
2 = x - 7
Add 7 to both sides to isolate the x:
2 + 7 = x - 7 + 7
9 = x
Hope this helps!
Solve The Equation !
‐5x – 3 < 2x – 18
Answer:
x>15/7
Step-by-step explanation:
Please break down how to do these pls
The value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08
Simplifying an equation is simply another way of saying solving a math problem. When you simplify a phrase, you are attempting to write it in the simplest way feasible. In conclusion, there should be no more adding, subtracting, multiplying, or dividing to do.
Given expression 1. -4\(x^{-2}\) + 3\(y^{0}\) 2. 2\(x^{0}\)\(y^{-2}\)
Expression for x =2 and y=5
-4x-2 + 3y0
= -4(2)-2 + 3(5)0
= 16+3
=19
Now
2x0y-2
= 2(2)0x(5)-2
= 2 x (1/25)
= 2 x 0.04
= 0.08
Therefore the value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08
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By using graphical method, find optimal solution of the problem max z = 3x + y s.t 2x - y ≤ 5 -x + 3y ≤ 6 x ≥ 0, y ≥ 0
By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.
To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.
Let's start by graphing the constraints:
1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.
2. Plot the line -x + 3y = 6 using a similar process.
3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.
Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.
Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.
Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.
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Solve the polynomial equation = 3
Answer:
lol the is no equation there to solve
rational numbers
help me please
Answer:
use a calculater multiply them
2 over 9 would just be 9 x 9= 81
4 over 2 would just be 2 x 2 x 2 x 2 = 16
do NOT do 2 x 4 bec that will be 8
Find the value of x for the following
Answer: x = 10
Step-by-step explanation:
4x+89=129
(2 parallel straight lines have congruent angles)
then solve for x.
Step 1: Subtract 89 from both sides of the equation.
4x = 40
(We want to isolate the variable x on one side of the equation. To do this, we need to get rid of the number 89 that is currently on the right side of the equation. To do this, we subtract 89 from both sides of the equation.)
Step 2: Divide both sides of the equation by 4.
x = 10
(To isolate the variable x further, we need to get rid of the coefficient 4 that is currently in front of x. To do this, we divide both sides of the equation by 4.)
The expression 2x – 3 represents
Answer:
two times some value subtracted by 3
Step-by-step explanation:
Data on the modulus of elasticity obtained 1 minute after loading in a certain configuration and 4 weeks after loading for the same lumber specimens is presented here.
Observation 1 min 4 weeks Difference
1 10,779 9,875 904
2 16,620 13,250 3370
3 17,300 14,720 2580
4 15,830 12,713 3117
5 12,970 10,120 2850
6 17,260 14,570 2690
7 13,400 11,220 2180
8 13,099 11,858 1241
9 13,630 11,420 2210
10 13,260 10,910 2350
11 14,370 12,110 2260
12 11,577 8,819 2758
13 15,470 12,590 2880
14 17,840 15,090 2750
15 14,070 10,550 3520
16 14,190 12,157 2033
Required:
Calculate and interpret an upper confidence bound for the true average difference between 1-minute modulus and 4-week modulus; first check the plausibility of any necessary assumptions. (Use α = 0.05. Round your answer to the nearest whole number.)
Answer:
The Confidence Interval = (2180, 2782)
Lower Bound for the true average difference between 1-minute modulus and 4-week modulus = 2180
Upper Bound for the true average difference between 1-minute modulus and 4-week modulus = 2782
- The interval obtained represents the range of values that the true average difference between 1-minute modulus and 4-week modulus can take on.
Step-by-step explanation:
The confidence interval for any distribution is the range of values that the true population mean can take on with some level of confidence.
It is given mathematically as
Confidence Interval = (Sample Mean) ± (Margin of Error)
The Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as
Margin of Error = (Critical Value) × (Standard Error of the Mean)
Before anything, we first state the conditions necessary for the confidence interval calculated to be valid.
- The sample must be a random sample extracted from the population distribution using random sampling technique.
- The sample distribution must be normal or approximately normal and this is confirmed by knowing that the population distribution is normal or almost normal.
These two conditions are assumed to be plausible for this sample distribution.
Here, we need the confidence interval for the true average difference between 1-minute modulus and 4-week modulus.
So, before anything, we need to first fin the sample mean and standard deviation for the differences obtained from the sample specimens.
904, 3370, 2580, 3117, 2850, 2690, 2180, 1241, 2210, 2350, 2260, 2758, 2880, 2750, 3520, 2033
Mean = (Σx/N)
Σx = Sum of all the variables = 39693
N = Sample size = 16
Sample Mean = (39693/16) = 2480.8125
Standard deviation = \(\sqrt{\frac{Σ(x - xbar)^{2}}{N-1}\\}\)
x = each variable
xbar = sample mean = 2480.8125
Note that we use (N-1) for the standard deviation because it is a sample standard deviation.
\(\sqrt{\frac{Σ(x - xbar)^{2}}{N-1}\\}\) = √(7227548.4375/15) = √(481836.5625)
= 694.14448243863 = 694.1445
Confidence Interval = (Sample Mean) ± (Margin of Error)
Margin of Error = (Critical Value) × (Standard Error of the Mean)
Confidence Interval = (Sample Mean) ± [(Critical Value) × (Standard Error of the Mean)]
Critical Value is obtained from the t-distribution table since no information on the population standard deviation is known.
For that, we need the significance level for the test and the degree of freedom.
Significance level = α = 0.05 (given in the question)
Degree of freedom = N - 1 = 16 - 1 = 15
t(0.05, 15) = 1.753 (from the t-distribution tables)
Standard error of the Mean = σₓ = (σ/\(\sqrt{N}\)) = (694.1445/\(\sqrt{16}\)) = 173.536125 = 173.536
Confidence Interval = (Sample Mean) ± [(Critical Value) × (Standard Error of the Mean)]
CI = (2480.8125) ± [(1.753 × 173.536)]
CI = (2480.8125) ± (301.09385)
CI = (2179.71865, 2781.90635)
CI = (2180, 2782)
This interval represents the range of values that the true average difference between 1-minute modulus and 4-week modulus can take on.
Hope this Helps!!!
You only have 30 hours of vacation time left I always work 8 hours per day so that means that I can take ___ days off
Answer:
3
Step-by-step explanation:
If he always works 8 hours per day then he can take 3.75 days off.
What is division?Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed.
We denote division by '÷' this symbol.
Given that,
He has only have 30 hours of vacation time left,
Working time = 8 hours/day
Days off = ?
If he has 30 hours of vacation time left and you work 8 hours per day, you can take the following number of days off:
= 30 hours/8 hours per day
= 3.75 days
So, you can take 3.75 days off, which is equivalent to 3 full days and 12 hours.
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eric have rock and classic. the rock is 3 times more than classic. let c represent classic. what the expression for number of rock
Answer:
3c
Step-by-step explanation:
3c im pretty sure. Since it is 3 times classic. classic is c. so rock must be R. so R=C3.
Help, please
f(n)=3(n+2)^2 (n-3) (n-2)
As n -----> -oo, f(n)----> ?
As n ----->oo, f(n) ----->?
The end behavior of the function f(n) = 3(n + 2)²(n - 3)(n - 2) is given as follows:
As n -> -oo, f(n) -> oo.As n -> oo, f(n) -> +oo.What is the end behavior of a function?The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.
The function for this problem is given as follows:
f(n) = 3(n + 2)²(n - 3)(n - 2).
Considering the degree, the function can be interpreted as follows:
\(3n^4\)
(for the limit when the input goes to infinity we consider only the term with the highest degree).
The leading coefficient is positive and the exponent is even, hence the end behavior is given as follows:
As n -> -oo, f(n) -> oo.As n -> oo, f(n) -> +oo.More can be learned about the end behavior of a function at brainly.com/question/1365136
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PLS NEED HELP WILL MARK BRAINLIEST
1) Olivia had 14 needles in her sewing kit, but she
lost r needles. Write the expression for the number
of needles in her sewing kit now.
Answer:
n = 14 - r
or
x = 14 - r
it doesnt really matter which variable you use for "number of needles"
Step-by-step explanation:
let number of needles now be n
n = 14 - r
If g(x) is the image of y=−2x^2−20x+2 after a translation right 4 units and up 2 units, write the equation of g(x) in the standard form of a quadratic function and describe its graph.
Enter the quadratic expression in standard form, a(x−h)2+k .
The standard form equation is g(x)=
The image of y = −2x^2 − 20x + 2 after a translation right 4 units and up 2 units is written in:
the form a(x−h)^2 + k is -2(x + 1)^2 - 107standard form of the equation is g(x) = -2x^2 - 4x - 108The graph will be a vertical parabola opening downwards
How to get the transformation imagewhen the function y = −2x^2 − 20x + 2 translates right 4 units it gives
y = -2(x - 4)^2 − 20(x - 4) + 2
going up two units
y = -2(x - 4)^2 − 20(x - 4) + 2 + 2
simplifying the equation further gives
y = -2(x - 4)(x - 4) − 20(x - 4) + 4
y = -2(x^2 - 8x + 16) - 20x - 80 + 4
y = -2x^2 + 16x - 20x - 32 - 80 + 4
y = -2x^2 - 4x - 108
completing the square
-2x^2 - 4x - 108 = 0
-2x^2 - 4x = 108
-2x^2 - 4x + (4/4)^2 = 108 -(4/4)^2
-2x^2 - 4x + (1)^2 = 108 - 1
-2(x + 1)^2 - 107
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A new is being built in Safety Harbor. The perimeter of the rectangular playing field is 582 yards. The length of the field is 4 yards less than quadruple the width. What are the dimensions of the playing field?
The dimensions of the rectangular field are given as follows:
Length: 232 yards.Width: 59 yards.How to obtain the perimeter of a rectangle?The perimeter of a rectangle is given by twice the sum of the length and the width of the rectangle, as follows:
P = 2(l + w).
For this problem, the perimeter is of 582 yards, hence:
2(l + w) = 582
l + w = 291.
The length of the field is 4 yards less than quadruple the width, hence:
l = 4w - 4.
Then the width is obtained as follows:
4w - 4 + w = 295
5w = 295
w = 295/5
w = 59.
The length is obtained as follows:
l = 4 x 59 - 4
l = 232 yards.
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Pls answer correctly I’ll give you brainliest
Answer:
1=2(4)+b
Step-by-step explanation:
slope intercept looks like this y=mx(or y=#x+#
if the slope is 2 the equation will be y=2x+b
to find b so x=4 and y=1 we can plug those numbers into the equation to find b
The area of a rectangle is 28 m', and the length of the rectangle is 1 m more than twice the width. Find the dimensions of the rectangle.
Answer:
8m ×3.5m
Step-by-step explanation:
Area of rectangle= length ×width
Let the length and width of the rectangle be L and W meters respectively.
Area of rectangle= LW
LW= 28 -----(1)
L= 2W +1 -----(2)
Subst. (2) into (1):
(2W +1)(W)= 28
Expand:
2W² +W= 28
-28 on both sides:
2W² +W -28= 0
Factorise:
(W +4)(2W -7)= 0
W +4=0 or 2W -7=0
W= -4 (reject) or W= 3.5
Substitute W= 3.5 into (2):
L= 2(3.5) +1
L= 7 +1
L= 8
∴ The dimensions of the rectangle is 8m ×3.5m.
A company pays $16 per hour for up to 8 hours of work. What is the equation for total pay (y) for hours worked (x), for 0-8 hours of work (x)?
Answer:
(16•8x)=y
Step-by-step explanation:
$16 per hour=x
total amount = y
(16•8x)=y
HELP ME PLEASE I DO NOT KNOW THIS! WILL GIVE BRAINLIEST
Answer:
8 is the answer
Step-by-step explanation:
Pls mark me the brainliest ☺☺
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
Chef Rita is cooking for a Sunday brunch. She knows that 222222 pancakes can feed 888 people. She is wondering how many people (p)(p)left parenthesis, p, right parenthesis she can feed with 555555 pancakes. She assumes each person eats the same quantity of pancakes.
How many people can Rita feed with 555555 pancakes?
Answer:
20
Step-by-step explanation:
I did it on khan academy
Answer: 20
Step-by-step explanation: i got it from brainly
If x is increased by 20%.
then what
will be the increased percent if there will be x^2?
Answer:
the area will be increased by 44%
Step-by-step explanation:
Given the point with Cartesian coordinates, (3√3,−3), find the polar coordinates of the point.
Answer: (6,11π/6).
Step-by-step explanation:We need to find the radius r and the angle θ. Remember that r2=x2+y2, so
because of the signs of x and y, our angle is in quadrant IV. Therefore, we find that θ=11π/6.
So the final answer is (6,11π6).
Which can be used as evidence in an argumentative text? Check all that apply. beliefs rumors anecdotes studies statistics
Answer:
Step-by-step explanation: Its a question where you need to answer since is a check all apply so I cant help you on this one good luck though!!!
Answer:
I believe that it's C, D, E
anecdotes
studies
statistics
sorry if I'm wrong
Step-by-step explanation:
Use the Law of Sines to write an expression that represents the angle measure x.
Answer:
Step-by-step explanation:
Law of sines says that the length of sides are proportional to the sine of the opposing angle.
Using the sine rule,
sin(x)/2.5 = sin(28)/3
therefore
sin(x) = 2.5 * sin(28) / 3
or
here we have
x = asin (2.5*sin(28) / 3)
so
box 1 = 2.5
box 2 = 28°
box 3 = 3
find r+s
i don’t understand at all
Answer:
120 degrees
Step-by-step explanation:
Select the decimal that is equivalent to 13/75
Answer:
the answer would be 0.1733
Answer:
\(0.17\overline{3}\)
Step-by-step explanation:
This fraction has a repeating decimal equivalent:
\(\boxed{0.17\overline{3}}\)
The digit 3 repeats indefinitely.
The length of a shadow of a building is 10 m . The distance from the top of the building to the tip of the shadow is 26 m. Find the height of the building. If necessary, round your answer to the nearest tenth.
The height of the building is 10 meters.
What are similar triangles?
To be similar, two triangles must have the same shape, which means that their corresponding angles are equal. If the angles in two triangles are the same, they are said to be "congruent". If the angles are congruent and the sides are proportional, then the triangles are similar.
Let's call the height of the building "h". We can use similar triangles to find the height of the building.
This forms two triangles, one with the height of the building and the other with the length of the shadow.
Using the properties of similar triangles, we can set up the following proportion:
h/10 = (h+x)/26
where x is the distance from the tip of the shadow to the bottom of the building. We want to solve for h, so we can simplify and solve for h:
26h = 10 (h+x)
26h = 10h + 10x
16h = 10x
h = 10x/16
h = 0.625x
So, the height of the building is 0.625 times the distance from the tip of the shadow to the bottom of the building. We know that the distance from the top of the building to the tip of the shadow is 26 m, so the distance from the tip of the shadow to the bottom of the building is:
x = 26 - h = 26 - 0.625x
Solving for x, we get:
1.625x = 26
x = 16
Therefore, the height of the building is:
h = 0.625x = 0.625(16) = 10
So, the height of the building is 10 meters.
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functions that aren't invertible can be made invertible by restricting their domains. for example, the function $x^2$ is invertible if we restrict $x$ to the interval $[0,\infty)$, or to any subset of that interval. in that case, the inverse function is $\sqrt x$. (we could also restrict $x^2$ to the domain $(-\infty,0]$, in which case the inverse function would be $-\sqrt{x}$.) similarly, by restricting the domain of the function $f(x).
When the domain of x is restricted, the function x2 becomes one-to-one, and the inverse function is x.
It is true that limiting a function's domain might cause it to become invertible. Because it is not one-to-one in the example, the function x2 is not invertible across its complete domain of real numbers (i.e., it assigns multiple outputs to some inputs). However, x2 becomes one-to-one and invertible when the domain of x is constrained to or any subset of that interval. The range of x2, which is, is used to define the inverse function in this situation, which is
The function x2 becomes one-to-one when the domain of x is constrained, and the inverse function is
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Solve the equations
Answer:
Step-by-step explanation:
3. 3x - 12 = -2x - 12
5x - 12 = -12
5x = 0
x = 0
4. 7x - 14 = 5x + 20
2x - 14 = 20
2x = 34
x = 17
5. 9x + 18 = 3x - 6
6x + 18 = -6
6x = -24
x = -4
6. 3 + 2x + 2 = 3x + 6
2x + 5 = 3x + 6
3x + 6 = 2x + 5
x + 6 = 5
x = -1