Find The Sum or Difference
(-6x – 3) + (3x – 9)
Answer:
-3x -12
Step-by-step explanation:
-6x +3x = -3x
-3-9 = -12
Scores on an exam are normally distributed with a population standard deviation of 5.6. A random sample
of 40 scores on the exam has a mean of 32.
Estimate the population mean with,
a) 80% Confidence.
b) 90% Confidence.
The estimated population mean with
80% confidence = [30.856, 33.135]
90% confidence = [30.543, 33.456]
Since, For a population with unknown mean and known standard deviation , a confidence interval for the population mean, based on a simple random sample of size n, is x + - z* × σ /√n , where z* is the upper (1-C)/2 critical value for the standard normal distribution.
Here, Population standard deviation = 5.6
Sample mean = 32
Sample size = 40
Given confidence level = 80%
at 80% confidence level = 1.28
Upper confidence interval = 33.135
Lower confidence interval = 30.865
Population mean lies between [30.856, 33.135] at 80% confidence level.
Given confidence level = 90%
at 90% confidence level = 1.65
Upper confidence interval =33.456
Lower confidence interval = 30.543
Population mean lies between [30.543, 33.456] at 90% confidence level.
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2
1
-1
-2
Determine the period.
2 4
6 8 10 12 14
Acellus
According to the information we can infer that the period of the graph is 8.
How to determine the period of the graph?To determine the period of the graph we have to consider that the period of a grah is the distance between rigdes. So, in this case we have to count what is the difference between each rigde.
In this case, the distance between rigdes is 8 units because the first is located in the line 1 an the second is located in the line 9. So we can conclude that the period of the graph is 8.
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express the following number 0.625 as a fraction.
Answer:
Step-by-step explanation:
\(0.625=\frac{625}{1000} =\frac{5}8}\)
What is the slope of the line that passes through the points listed in the table?
x l y
8 l 3
10 l 7
A. -4
B. -2
C. 2
D. 4
Answer:
2
Step-by-step explanation:
The slope is given by
m = ( y2-y1)/(x2-x1)
= (7-3)/(10-8)
= 4/2
= 2
A firm has the marginal-demand function Upper D prime (x )equalsStartFraction negative 1200 x Over StartRoot 25 minus x squared EndRoot EndFraction . Find the demand function given that Dequals16 comma 000 when x equals $ 4 per unit.
Answer:
The demand function is \(\mathbf{D(x) = 1200(\sqrt{25-x^2})+ 124000}\)
Step-by-step explanation:
A firm has the marginal-demand function \(D' x = \dfrac{-1200}{\sqrt{25-x^2 } }\).
Find the demand function given that D = 16,000 when x = $4 per unit.
What we are required to do is to find the demand function D(x);
If we integrate D'(x) with respect to x ; we have :
\(\int\limits \ D'(x) \, dx = \int\limits{\dfrac{-1200 x}{\sqrt{25-x^2}} } \, dx\)
\(D(x) = \int\limits{\dfrac{-1200 x}{\sqrt{25-x^2}} } \, dx\)
Let represent t with \(\sqrt{25-x^2}}\)
The differential of t with respect to x is :
\(\dfrac{dt}{dx}= \dfrac{1}{2 \sqrt{25-x^2}}}(-2x)\)
\(\dfrac{dt}{dx}= \dfrac{-x}{ \sqrt{25-x^2}}}\)
\({dt}= \dfrac{-xdx}{ \sqrt{25-x^2}}}\)
replacing the value of \(\dfrac{-xdx}{ \sqrt{25-x^2}}}\) for dt in \(D(x) = \int\limits{\dfrac{-1200 x}{\sqrt{25-x^2}} } \, dx\)
So; we can say :
\(D(x) = \int\limits{\dfrac{-1200 x}{\sqrt{25-x^2}} } \, dx\)
\(D(x) = 1200\int\limits{\dfrac{- x}{\sqrt{25-x^2}} } \, dx\)
\(D(x) = 1200\int\limits \ dt\)
\(D(x) = 1200t+ C\)
Let's Recall that :
t = \(\sqrt{25-x^2}}\)
Now;
\(\mathbf{D(x) = 1200(\sqrt{25-x^2}})+ C}\)
GIven that:
D = 16,000 when x = $4 per unit.
i.e
D(4) = 16000
SO;
\(D(x) = 1200(\sqrt{25-x^2}})+ C\)
\(D(4) = 1200(\sqrt{25-4^2}})+ C\)
\(D(4) = 1200(\sqrt{25-16}})+ C\)
\(D(4) = 1200(\sqrt{9}})+ C\)
\(D(4) = 1200(3}})+ C\)
16000 = 1200 (3) + C
16000 = 3600 + C
16000 - 3600 = C
C = 12400
replacing the value of C = 12400 into \(\mathbf{D(x) = 1200(\sqrt{25-x^2}})+ C}\), we have:
\(\mathbf{D(x) = 1200(\sqrt{25-x^2})+ 124000}\)
∴ The demand function is \(\mathbf{D(x) = 1200(\sqrt{25-x^2})+ 124000}\)
The Ozzie Chocolate Company is preparing to offer a new product in its candy offerings, the Minty Dark Chocolate Bite bar. Material costs per new candy bar are
$0.25 for chocolate, $0.02 for sugar, and $0.03 for mint flavoring. Labor costs of the new product are approximately $0.15 per bar. Adding a production line devoted to the new candy will cost $250,000 per year.
(a) If the sales price is $1.40 per candy bar, how many must the company make per year in order to break even? Assume that each bar made is sold at full price.
(b) What is the company's profit or loss if they make and sell 270,000 candy bars at the $1.40 price in the first year?
(c) About 20% of the food consumed in the U.S. is imported. Production in many industries has been offshored. What ethical issues do companies face when presented with the decision to move operations?
Answer:
a) 263,158
b) $164,500
c) Ethical issues companies face when deciding to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...
Step-by-step explanation:
a)
Total cost = (0.25 + 0.02 + 0.03 + 0.15) x + 250,000
Total revenue = 1.40x
Setting the two equations equal to each other and solving for x, we get:
(0.45)x + 250,000 = 1.40x
0.95x = 250,000
x ≈ 263,158
b)
If the company sells 270,000 candy bars at $1.40 each, the total revenue generated is:
270,000 * $1.40 = $378,000
The total cost of producing 270,000 candy bars is:
(0.25 + 0.02 + 0.03 + 0.15) * 270,000 + $250,000 = $213,500
Therefore, the company's profit is:
$378,000 - $213,500 = $164,500
c)
Ethical issues companies face when presented with the decision to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...
Write the equation in vertex form of the parabola with the vertex (-4,-4) that goes through the point (-2,-16)
Answer:
\( - 3(x + 4) {}^{2} - 4\)
Step-by-step explanation:
Vertex form is
\(a(x - h) {}^{2} + k = f(x)\)
We know that h and k are both -4. Let x be -2 and y be -16.
\(a( - 2 + 4) {}^{2} - 4 = - 16\)
\(a(2) {}^{2} - 4 = - 16\)
\(4a - 4 = - 16\)
\(4a = - 12\)
\(a = - 3\)
So the equation in vertex form is
\( - 3(x + 4) {}^{2} - 4\)
Determine the pattern for the following sequence and find the next two terms: 1, -2,4,-8, ...
Answer:
Answer:×(-2)
Answer:×(-2)Step-by-step explanation:
-2/1 = -2
4/-2 = -2
-8/2 = -2
Next two: 16, -32
Raymond bought wrapping paper that cost
$0.04 per square inch. How much did it cost to
wrap this box.
Answer: $46.08
Step-by-step explanation:
Find the surface Area of the box
the bases are 12*12= 144 times 2 bases 144*2= 288
The area of each side is 12*18=216 times 4 sides 216*4=864
add the totals together to find the total surface area 288+864=1152
total surface area is 1152 inches. Multiply by the cost per square inch
1152*.04= 46.08
calculate the following 2+2
Answer:4
Step-by-step explanation:
2+2 is 4
7w -17=46 need help thanks
Answer:
w=9
Step-by-step explanation:
7w -17=46
Add 17 to each side
7w -17+17=46 +17
7w = 63
Divide each side by 7
7w/7 = 63/7
w=9
Answer:
W=9
Step-by-step explanation:
46+17=63
63=7w
63/7=9
A new cylindrical can with a diameter of 4cm is being designed by a local company. The surface area of the can is 140 square centimeters. What is the height of the can? Estimate using 3.14 for pi and round to the nearest hundredth. Apply the formula for the surface area of a cylinder SA=2B+Ph
The height of the can of cylinder shape is 9.14 cm.
What is a cylinder?
In mathematics, a cylinder is a three-dimensional solid that maintains two parallel bases separated by a curved surface at a specific distance. These bases frequently have a circular shape (like a circle), and an axis connects their respective centres.
We are given the diameter as 4 cm.
So, the radius is 2cm.
Also, it is given that the surface area of the can is 140 square centimeters.
So, using the surface area of cylinder, we get
⇒Area = 2πr (h + r)
⇒140 = 2π * 2 (h + 2)
⇒140 = 4π (h + 2)
⇒140 = 4 * 3.14 * (h + 2)
⇒140 = 12.56 * (h + 2)
⇒11.14 = h + 2
⇒h = 9.14
Hence, the height of the can of cylinder shape is 9.14 cm.
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GEOMETRY!!!! Will give brainliest
Use las propiedades de numeros reales para escribir la expresion sin parentesis
3(x+y)
4(2m)
-5/2(2x-4y)
Answer:
3x+3y
8m-5x
-5x+10y
Step-by-step explanation:
Algebra 1
the legnth of a rectangle is three times its width. if the length of the perimeter is 64 in, find the length and width
Answer:
Length and width of rectangle is 24 and 8 inchesStep-by-step explanation:
Given:
Length of rectangle is three times the widthPerimeter of rectangle is 64 InchesTo Find:
Length and WidthSolution:
Let's assume Width of rectangle x inches and length be 3x inches. To calculate the dimensions of The rectangle we will use the formula of Perimeter of rectangle:
Perimeter of rectangle = 2(L + B)
→ 64 = 2(3x + x)
→ 64 = 2(4x)
→ 64/2 = 4x
→ 32 = 4x
→ 32/4 = x
→ 8 = x
Hence,
Length of the rectangle = 3x = 3(8) = 24 inchesWidth of the rectangle = x = 8 inchesAnswer:
Length = 24 inchesWidth = 8 inches⠀
Step-by-step explanation :
⠀
As it is given that, the legnth of a rectangle is three times its width and the perimeter is 64 in and we are to find the length and width of the rectangle. So,
⠀
Let us assume the width of the rectangle as w inches and therefore, the length will be 3w inches .
⠀
Now, According to the Question :
⠀
\({\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}\)
⠀
\({\longrightarrow \qquad { {\sf{2 (3 x + x )= 64 }}}}\)
⠀
\({\longrightarrow \qquad { {\sf{2 (4x )= 64 }}}}\)
⠀
\({\longrightarrow \qquad { {\sf{8x= 64 }}}}\)
⠀
\({\longrightarrow \qquad { {\sf{ x = \dfrac{64}{8} }}}}\)
⠀
\({\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 8}} }}} }\: \: \bigstar\)
⠀
Therefore,
The width of the rectangle is 8 inches .⠀
Now, We are to find the length of the rectangle:
\({\longrightarrow \qquad{ { \frak{\pmb{Length = 3x }}}}}\)
⠀
\({\longrightarrow \qquad{ { \frak{\pmb{Length = 3 \times 8 }}}}}\)
⠀
\({\longrightarrow \qquad{ \underline{ \boxed{ \frak{\pmb{Length = 24}}}}}} \: \: \bigstar\)
⠀
Therefore,
The length of the rectangle is 24 inches .⠀
what’s the quotient of -15b^5+18b^3/3b
This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.
To find the quotient of the expression (-15b^5 + 18b^3) divided by 3b, we can perform the division by simplifying each term separately.
First, let's divide -15b^5 by 3b:
(-15b^5) / (3b) = -15/3 * b^5/b = -5 * b^(5-1) = -5b^4
Next, let's divide 18b^3 by 3b:
(18b^3) / (3b) = 18/3 * b^3/b = 6 * b^(3-1) = 6b^2
Now, we have simplified each term individually. The resulting expression is:
-5b^4 + 6b^2
This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.
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If
to DEF?
A 23
B. 16°
C. 32°
D. 58°
The calculated measure of the angle D is (c) 32 degrees
How to determine the measure of the angleFrom the question, we have the following parameters that can be used in our computation:
The triangles ABC and DEF
The triangles are similar triangles
This means that the corresponding angles are equal
Given that
A = 32 degrees
And the corresponding angle is D
We have
D = 32 degrees
Hence, the measure of the angle is (c) 32 degrees
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Can someone pls help me I really need help in here.. PLS…
And if u can explain how you make it I will appreciate it,. Thank u:(((
Answer:
So, "Compare the following rational numbers," its asking which of them is greater, or if there equal to each other.
So for 3.25 and 3 1/2
3 1/2 is greater
3.25 < 3 1/2 (so it should look like this when the symbol on that side)
and for -4.5 and -4.05
-4.05 is greater.
-4.5 < -4.05 (so the symbol is also on that side.)
What property of addition would 3,500+0=3,500 be
Answer:
identity
Step-by-step explanation:
brainliest plz
3x 2 whoever answers first get Brainlylest
Answer:
Three times two is 6
Step-by-step explanation:
luisa reads 2 pages of hee book every minute.At this rate,how many hours will it take her to read 300 pages?
Answer: 150 minutes or 2.5 hours
Step-by-step explanation: subsite the hours with x so you would have 2x=300 if she reads 2 pages a minute in 150 minutes she would have 300 pages
GIVING BRAINLIEST AND 30 POINTS IF YOU ANSWER THESE ALL! TYSM :)
Answer:
2) 98/15 meters
21/5 + 7/3 = 63/15 + 35/15 = 98/15
3) 7/12 of the loaf
1/3 + 1/4 = 4/12 + 3/12 = 7/12
4) 19/8 inches
9/8 + 5/4 = 9/8 + 10/8 = 19/8
5) 73/6 cups
29/3 + 5/2 = 58/6 + 15/6 = 73/6
Let me know if this helps!
I need help please. I don’t understand it
Answer:
Step-by-step explanation:
Answer:
I think it's x= 32 degrees
Step-by-step explanation:
if the square is directly proportional to w and z =4 when w =8
Answer:
when you calculate the value of w is z= 5
Step-by-step explanation:
find the following arc measures
The measure of the angles are;
<KL = 23 degrees
m<LON is 23 degrees
m<OM = 113 degrees
m<KNL = 23 degrees
m<NL = 157 degrees
How to determine the measures of the arcTo determine the measures of the arc, we need to note the following;
Angles on a straight line is equal to 180 degreesAngle at right angle is equal to 90 degreesFrom the information shown in the diagram, we have;
<KL +<KM = 90 degrees
Now, substitute the values
<KL + 67 = 90
collect like terms
<KL = 23 degrees
m<LON and <KL are corresponding angles
Then, m<LON is 23 degrees
m<OM = m<LON + 90 degrees
Substitute the values
m<OM = 113 degrees
m<KNL = 23 degrees
m<NL = 90 + <LM
Substitute the values
m<NL = 157 degrees
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Identify the system of equations that is not satisfied by the given ordered pair.
(5, 3) or m = 5, n = 3
2m = 19 − 3n
m − n = 2
6m − 21n = −33
8m = −23 + 21n
4m − 3n = 11
2m + 5 = 5n
9m + 4n = 5
3m = 9 + 6n
Step-by-step explanation:
2+5=7 = 19-3+3=13
5-3=2
6+5=11-21+3= -33
8+5= 13= 1
4+5= 9
The system of equations that does not satisfy the ordered pair is
6m -21n = -33
9m + 4n = 5
3m = 9 + 6n
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the ordered pair ( m , n ) = ( 5 , 3 )
The value of m = 5
The value of n = 3
Now , the equation will be
a)
The equation is
2m = 19 - 3n
Substituting the values , we get
2 x 5 = 19 - 3 x 3
10 = 19 - 9
10 = 10
The equation satisfies for the ordered pair
b)
The equation is
m - n = 2
Substituting the values , we get
5 - 3 = 2
2 = 2
The equation satisfies for the ordered pair
c)
The equation is
6m -21n = -33
Substituting the values , we get
6 x 5 - 12 x 3 = -33
30 - 36 = -33
-3 = -33
The equation does not satisfy the ordered pair
d)
The equation is
8m = −23 + 21n
Substituting the values , we get
8 x 5 = -23 + 21 x 3
40 = -23 + 63
40 = 40
The equation satisfies for the ordered pair
e)
The equation is
4m − 3n = 11
Substituting the values , we get
4 x 5 - 3 x 3 = 11
20 - 9 = 11
11 = 11
The equation satisfies for the ordered pair
f)
The equation is
2m + 5 = 5n
Substituting the values , we get
2 x 5 + 5 = 5 x 3
10 + 5 = 15
15 = 15
The equation satisfies for the ordered pair
g)
The equation is
9m + 4n = 5
Substituting the values , we get
9 x 5 + 4 x 3 = 5
45 + 12 = 5
57 = 5
The equation does not satisfy the ordered pair
h)
The equation is
3m = 9 + 6n
Substituting the values , we get
3 x 5 = 9 + 6 x 3
15 = 9 + 18
15 = 27
The equation does not satisfy the ordered pair
Hence , the equations 6m -21n = -33 , 9m + 4n = 5 and 3m = 9 + 6n does not satisfy the given ordered pair ( m , n ) = ( 5 , 3 )
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Seventh grade
On the last day of a Shakespeare class, an English teacher asked her stude
which play they liked most. Out of the 20 students, 6 liked Twelfth Night b
What is the probability that a randomly selected Shakespeare student likes
Twelfth Night best?
Write your answer as a fraction or whole number.
P(Twelfth Night) =
cuboit
Answer:
english yes
Step-by-step explanation:
Hey I need help with my math pretest and I’m confused with the questions they are giving me
ANSWER
\(2.25x+12.00\le30.00\)EXPLANATION
Let the number of slices of pizza that Jess can buy be x.
She has to buy a ticket which costs $12 and x slices of pizza for $2.25 each. All these must cost less than or equal to $30 which Jess has.
Therefore, the inequality that represents how many slices of pizza Jess can buy is:
\(2.25x+12.00\le30.00\)HƏĻP MƏ
Evaluate the expression when f= 125, 3/5(F - 20)
Answer:
63
Step-by-step explanation:
plug 125 in for 'f'
3/5(125-20) = 3/5 · 105 = 315/5 = 63