The measure of the angle MOP is 61° (Third option)
What is an angle?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
Angle MON is a straight angle → ∠MON=180°
∠QON=58° (according to the graph)
OP bisects angle ∠MOQ, then OP divides angle ∠MOQ into two equal angles:
∠MOP=∠POQ=∠MOQ/2 (1)
∠MOQ+∠QON=∠MON
Replacing the known values in the equation above:
∠MOQ+58°=180°
Solving for ∠MOQ: Subtracting 58° on both sides of the equation
∠MOQ+58°-58°=180°-58°
∠MOQ=122°
Replacing ∠MOQ by 122° in the equation (1)
(1) ∠MOP=∠POQ=122°/2
∠MOP=∠POQ=61°
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Which equation is represented by the graph below? on a coordinate plane, a curve starts at (0, 1) and then increases and approaches y = 7. y = e superscript x baseline 5 y = e superscript x baseline 4 y = l n x 4 y = l n x 5
The equation that is represented by the indicated graph is:
Y = ln X + 4 (Option C). See the definition of an equation below.
In mathematics, Equations are defined as mathematical statements or expressions where a string of factors that have been stated mathematically are equated to one another using the equals sign.
Hence the equation that represents the graphs is option C.
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Answer:
y = ln x + 4
just got it right on edge
Multiply: 6,415x5 A 32,055 B 31,975 C 32,075 D 30,075
Alex is standing still and throws a football with a speed of 10 m/s to his friend, who is also standing still. the two friends are standing 5 meters apart. which describes how each person observes the speed of the football? alex observes it as 10 m/s, and his friend observes it as less than 10 m/s. alex observes it as less than 10 m/s, and his friend observes it as 10 m/s. both alex and his friend observe it as 10 m/s. both alex and his friend observe it as less than 10 m/s.
The statement that describes how each person observes the speed of the football is both Alex and his friend observe it as 10 m/s.
To answer the question, we need to know what speed is.
What is speed?Speed is the distance moved per unit time
Since Alex is standing still and throws a football with a speed of 10 m/s to his friend, who is also standing still. If there were relative motion between Alex and his friend, that is Alex or his friend were moving, each person would observe a different speed for the football.
Since there is no relative motion between Alex and his friend, they both observe the same speed for the football.
So, both Alex and his friend observe it as 10 m/s.
So, the statement that describes how each person observes the speed of the football is both Alex and his friend observe it as 10 m/s.
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Assume [tex]\pi=\frac{22}{7},[/tex] unless stated otherwise.
8. A patient in a hospital is given soup daily in a cylindrical bowl of diameter [tex]7 \mathrm{~cm}[/tex] . If the bowl is filled with soup to a height of [tex]4 \mathrm{~cm}[/tex] , how much soup the hospital has to prepare daily to serve 250 patients?
Answer:
38.5 litres soup the hospital has to prepare daily to serve 250 patients.Step-by-step explanation:
As we given that A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm.
So,
Heigth of cylinder = 4 cmDiameter of cylinder = 7 cmRadius of cylinder = 7/2 = 3.5 cm[tex]\bigstar[/tex]To Find Volume of soaps required in the hospital to prepare daily to serve 250 patients. Firstly we need to find The volume of Soap in each bowl for 1 patient.
Using formula:
[tex] \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf \red{\underbrace{Volume_{(Cylinder)} = \pi r^2 h}} \\ \\ [/tex]
On substituting the required values, we get:
[tex] \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf Volume_{(Cylinder)} = \dfrac{22}{7} \times {(3.5)}^{2} \times 4 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf Volume_{(Cylinder)} = \frac{22}{7} \times 12.25 \times 4 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf Volume_{(Cylinder)} = \frac{22}{ \cancel{7} } \times{ \cancel{ 49}} \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf Volume_{(Cylinder)} = 22 \times 7 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf{ \red{ \underbrace{Volume_{(Cylinder)} = 154 \: {cm}^{3}}}} \\ \\ [/tex]
Hence, We have get the volume of soap for 1 patient is 154 cm³.
Now we need to find the volume of soap for 250 patients:
[tex] \\ \: \: \: \: \: \: \dashrightarrow \: \: \: \: \: \: \sf 154 \times 250 \\ \\ \: \: \: \: \: \dashrightarrow \: \: \: \: \: {\red{\underbrace {\sf {38500 \: cm^3}}}} \\ \\ [/tex]
Soap In litres:
1000 cm³ = 1 litre 38500/1000 = 38.5 litres[tex]\therefore[/tex]38.5 litres soup the hospital has to prepare daily to serve 250 patients.
please help, Im so close to failing my whole class.
"Enter the missing numbers in the boxes to complete the equivalent ratios"
time (min)
3
5
?
10
Distance (km)
?
60
72
?
1.
(MC)
Rewrite the rational exponent as a radical by extending the properties of integer exponents. (2 points)
2 to the 3 over 4 power, all over 2 to the 1 over 2 power
the eighth root of 2 to the third power
the square root of 2 to the 3 over 4 power
the fourth root of 2
the square root of 2
2.
(MC)
Explain how the Quotient of Powers was used to simplify this expression. (2 points)
5 to the fourth power, over 25 = 52
By simplifying 25 to 52 to make both powers base five, and subtracting the exponents
By simplifying 25 to 52 to make both powers base five, and adding the exponents
By finding the quotient of the bases to be one fifth , and cancelling common factors
By finding the quotient of the bases to be one fifth , and simplifying the expression
3.
(MC)
Rewrite the radical as a rational exponent. (2 points)
the cube root of 2 to the seventh power
2 to the 3 over 7 power
2 to the 7 over 3 power
221
24
4.
(MC)
Rewrite the rational exponent as a radical. (2 points)
5 to the 3 over 4 power, to the 2 over 3 power
the cube root of 5 squared
the twelfth root of 5
the square root of 5
the cube root of 5 the fourth power
5.
(MC)
A rectangle has a length of the fifth root of 16 inches and a width of 2 to the 1 over 5 power inches. Find the area of the rectangle. (2 points)
2 to the 3 over 5 power inches squared
2 to the 4 over 5 power inches squared
2 inches squared
2 to the 2 over 5 power inches squared
Answer: 1
the fourth root of 2
A school principal wants to buy some book cases for the school library. She can choose between two types of book case. Type A costs $10 and it requires 0.6 m2 of floor space and holds 1.2 m3 of books. The maximum floor space available is 7.2 m2 and the budget is $140 (but the school would prefer to spend less). What number and type of bookcases should the principal buy to get the largest possible storage space for books?
The principal should buy 8 of type A and 3 of type B to get the largest possible storage space for books
How to determine the number and type of book cases?Let x represent type A and y represent type B,
So, we have the following table:
x y Available
Floor space 0.6 0.8 7.2
Budget 10 20 140
Book hold 0.8 1.2
Using the above table, we have the following linear model
Objective function Min Z = 0.8x + 1.2y
Subject to
0.6x + 0.8y ≤ 7.2
10x + 20y ≤ 140
x, y > 0
Using a graph, the solution to the above system of inequalities is:
(x,y) = (8,3)
Hence, the principal should buy 8 of type A and 3 of type B to get the largest possible storage space for books
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Seattle’s factory is the company’s newest. It was constructed with sustainable building techniques and materials, so its cost structure has been affected in several ways. The Seattle plant uses a mix of solar power (not very reliable with so many clouds), thermal power, and wind. It has an array of batteries, so at the beginning of each production day, there is “free” stored energy that can produce up to 8,000 units. Of course, energy is just one factor of the cost of production, but it is significant.
The cost function for the Seattle factory is given by the following piecewise function. That is, C(x)is the cost function, where x is the number of units produced. The plant’s maximum capacity is 42,000 units per day.
[tex]C(x)=\left \{ {{0.35 if x \leq 8,000} \atop {0.75 if 8,000\ \textless \ x\leq 20,000}} \right \atop0.83-(\frac{x}{200,000} ) if 20,000\ \textless \ x\leq 42,000[/tex]
A) Sketch a graph to model Seattle’s cost structure over the domain [0, 42000]. Be sure to label the axes and any endpoints where the graph breaks.
B) Describe the function over each part of its domain. State whether it is constant, increasing, or decreasing, and state the slope over each part.
Answer:
Natural Capitalism as an idea and thesis for a book emerged in 1994, the year after the
publication of The Ecology of Commerce. After meeting with and speaking to different
business, government, and academic institutions in the aftermath of the book's
publication, it became clear to Hawken that industry and government needed an overall
biological and social framework within which the transformation of commerce could be
accomplished and practiced. To that end, articles and papers were written that became the
basis of a book about natural capitalism. A key element of this theory was the idea that
the economy was shifting from an emphasis on human productivity to a radical increase
in resource productivity. This shift would provide more meaningful family-wage jobs, a
better worldwide standard of living to those in need, and a dramatic reduction of
humankind's impact upon the environment. So while the context for Natural Capitalism
existed in a theoretical framework, the exposition did not.
Contemporaneously, Amory and Hunter Lovins were coming to the same conclusion: that
a shared framework was needed that could harness the talent of business to solve the
world's deepest environmental and social problems. Both were writing Factor Four:
Doubling Wealth, Halving Resource Use for publication in Germany in 1995. The senior
author of Factor Four, Ernst von Weizsäcker, among Europe's top innovators in
environmental policy, had teamed up with the Lovinses to pool the experience of their
respective nonprofit research centers—Wuppertal Institute in Germany and Rocky
Mountain Institute (RMI) in Colorado. The three authors had assembled fifty case studies
of at least quadrupled resource productivity to detail how, across whole economies,
people could live twice as well but use half as much material and energy. Factor Four
showed that such striking gains in resource efficiency could be profitable, and that
obstacles to their implementation could be hurdled by combining innovations in business
practice and in public policy.
Both Factor Four and The Ecology of Commerce urged the private sector to move to the
vanguard of environmental solutions. Factor Four described a creative policy framework
that could foster fair and open competition in achieving that success. The Ecology of
Commerce suggested techniques that when combined with business's unique strengths
could enable it to meet this challenge successfully.
Hunter Lovins sent a draft of Factor Four to Paul Hawken in early 1995. He saw that it
was the exposition that natural capitalism needed if it were to make its theoretical claims
credible and demonstrable. The ideas not only meshed, they were absolutely
complementary. We agreed to work together toward one book, under the title of Natural
Capitalism, that would contain both theory and practice. After the work began, we
discovered it wasn't that simple. Factor Four was anecdotal, Europe-oriented (by 1997 it
had also been published in England after being a German bestseller for nearly two years),
and written more for policy and environmental activists than for business practitioners. It
needed not adaptation but complete rewriting. Further, the examples offered concentrated
mainly on efficiency and did not take fully into account the need for the restoration of
natural capital nor for several other important elements of natural capitalism that go far
What is 12kg 48g in kg
Answer:
12.048 kg
Step-by-step explanation:
48 grams = .048 kg
12 kg + .048 kg = 12.048 kg
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Step-by-step explanation:
when picking (ahem, buying) a soccer ball, there are 75 total possibilities.
the chance to pick a bad one is then
4/75 = 0.053333333...
now we are buying 3 balls out of the 75.
how many possible options do we have ?
picks cannot be repeated, and the sequence does not matter, so we need combinations :
C(75,3) = 75! / (3! × (75-3)!) = 75×74×73/(3×2) = 25×37×73 =
= 67,525 possible groups of 3 balls.
from all these possibilities, how many have 2 good and 1 bad ball ?
as many as options we have to pick 2 balls out of 71 and 1 out of 4 :
C(71,2) × C(4,1) = 71! / (2 × (71-2)!) × 4! / (1 × (4-1)!) =
= 71×70/2 × 4 = 71×70×2 = 9,940 possibilities
so, the total probability to buy 2 good and 1 bad ball is
9940/67525 = 1988/13505 = 0.147204739...
11. Which of the following is a property of the normal distribution?
A. The normal distribution curve can go below the x-axis, but just barely.
B. The tails (ends) of the normal distribution curve are allowed to curve back up away from the
x-axis.
C. The normal distribution can have two modes as long as the graph is symmetric.
D. The mean, median, and mode are located at the center.
The correct statement regarding the normal distribution is given by:
D. The mean, median, and mode are located at the center.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.Most measures of the normal distribution are concentrated around the center, which represents all of the mean, median and mode, hence option D is correct.
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A, b, and c are polynomials, where a = n, b = 2n 6, and c = n2 – 1. what is ab – c in simplest form? –n2 3n 5 n2 6n 1 2n2 6n – 1 3n2 5
The equations a = n, b = 2n + 6 and c = n² - 1 are polynomials, and the expression for ab - c is n² + 6n + 1
How to determine the expression for ab - c?The polynomials are given as:
a = n
b = 2n + 6
c = n² - 1
The expression ab - c is calculated using:
ab - c = n * (2n + 6) - (n² - 1)
Expand
ab - c = 2n² + 6n - n² + 1
Collect like terms
ab - c = 2n² - n² + 6n + 1
Evaluate
ab - c = n² + 6n + 1
Hence, the expression for ab - c is n² + 6n + 1
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Approximate √17 to the nearest tenth. USE THE NUMBER LINE TO RECEIVE CREDIT.
Answer: 290
√17= 289
289 to the nearest 10th is 290
hich equations are true for x = –2 and x = 2? Select two options
x2 – 4 = 0
x2 = –4
3x2 + 12 = 0
4x2 = 16
2(x – 2)2 = 0
Answer:
first and fourth
Step-by-step explanation:
x² - 4 = 0 ( add 4 to both sides )
x² = 4 ( take square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2
that is x = - 2, x = 2
4x² = 16 ( divide both sides by 4 )
x² = 4 ( take square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2
that is x = - 2, x = 2
Select the correct answer.
Which combination of shapes could be used to model the piano will give the best estimate of its volume?
OA 3 cones and a pentagonal prism
OB. 3 cylinders and a rectangular prism
Oc 3 cylinders and a pentagonal prism
OD
3 cones and a rectangular prism
The answer that would best tell the combination of shapes that could make a piano are: 3 cylinders and a rectangular prism
How to find the shape of a pianoThe shape of a piano can be gotten from the way that the piano is built. A piano is known to have a shape that is like a chord, it also has the parts that is built like a rectangular prism.
In order to get the volume of the object, the different shapes that it has would be calculated individually using their formula.
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Answer:
Step-by-step explanation:
Help please due later today.....
Answer:
a- the sum = 0.0031
b- the fly is 0.0013 grams heavier
Answer:
Step-by-step explanation:
a).
2.2 × [tex]10^{-3}[/tex] + 9 × [tex]10^{-4}[/tex] =
2.2 × [tex]10^{-3}[/tex] + 0.9 × [tex]10^{-3}[/tex] =
( 2.2 + 0.9 ) × [tex]10^{-3}[/tex] = 3.1 × [tex]10^{-3}[/tex]
b).
2.2 × [tex]10^{-3}[/tex] - 9 × [tex]10^{-4}[/tex] =
2.2 × [tex]10^{-3}[/tex] - 0.9 × [tex]10^{-3}[/tex] =
( 2.2 - 0.9 ) × [tex]10^{-3}[/tex] = 1.3 × [tex]10^{-3}[/tex]
Write the standard form of the equation of the line that is perpendicular to y = -x + 12 and contains the
point (-6, -5)
Answer:
y = x + 1
Step-by-step explanation:
Multiply the original by -Ax to find the perpendicular, then the point it lines up with on the y-intercept is so because there is a 1 difference between 5 and 6
What are the coordinates of A' after the point
A(4,-8) is dilated by a scale factor of 4?
A (1,-2)
B (16,-32)
C (8,-4)
D (0, -12)
Find the quotient of 2 3/5 ÷ 1 2/5 Give your answer as a mixed number in its simplest form.
The quotient of 2 3 / 5 ÷ 1 2 / 5 as a mixed fraction is 1 6 / 7
What is quotient?Quotient is the answer obtained when we divide one number by another. Therefore,
2 3 / 5 ÷ 1 2 / 5
let's convert the mixed fraction to improper fractions.
2 3 / 5 = 13 / 5
1 2 / 5 = 7 / 5
Therefore,
13 / 5 ÷ 7 / 5 = 13/ 5 × 5 / 7
13/ 5 × 5 / 7 = 13 / 7 = 1 6 / 7
Therefore, the quotient of 2 3 / 5 ÷ 1 2 / 5 is 1 6 / 7
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Plsss help im struggling:)
Answer:
58.92 deg
Step-by-step explanation:
Angle J
In a right triangle tangent of angle = opposite side / adjacent side
Tan J = opp / adj = 15.1 /9.1
then arctan ( 15.1/9.1 ) = J = 58.92 deg
solve for x in this equation.
area of rectangular solid 2.3 1.8 3.2
2 3 8 is equal to 2.375
Step-by-step explanation:
in fraction form
Cuánto es el 15% de 400
La respuesta de cual es %15 de 400 es 60
Which graph represents the trigonometric function given below?
Answer:
The last graph is your answer.
Step-by-step explanation:
The midline of the function should be in between the highest and lowest y value.
Here's the midline should be at y=-1
Let find where our zeroes occur at
[tex]2 \cos(2x - \frac{\pi}{3} ) - 1 = 0[/tex]
[tex]2 \cos(2x - \frac{\pi}{3} ) = 1[/tex]
[tex] \cos(2x - \frac{\pi}{3} ) = \frac{1}{2} [/tex]
Take the inverse cosine of both sides
[tex]2x - \frac{\pi}{3} = \cos {}^{ - 1} ( \frac{1}{2} ) [/tex]
[tex]2x - \frac{\pi}{3} = \frac{\pi}{3} + 2\pi(n)[/tex]
Or
[tex]2x - \frac{\pi}{3} = \frac{5\pi}{3} + 2\pi(n)[/tex]
Solve for x. in both scenarios
[tex]x = \frac{\pi}{3} + \pi(n)[/tex]
[tex]x = \pi + \pi(n)[/tex]
So our zeroes occur at pi/3, and pi, and every pi units. So we should have a period of pi, and zeroes at pi/3, pi
The last graph is your answer.
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Answer:
Bag of tulips = $ 7
Step-by-step explanation:
Given :
12d + 6t = 198
6d + 7t = 127 <====== Multiply this equation by -2
-12d - 14t = -254 <==== now add this one to the top equation ( this will eliminate 'd' )
-8t = - 56
t = 7 dollars
What is the value of
x²
y¹
=
x = 8 and y = 2?
Answer:
×= 64
y= 2
Step-by-step explanation:
×= 8
y=2
=x²+ y¹
= 8²+2¹
= 64+2
Answer:
64 = x^2 | y^1 = 2
Step-by-step explanation:
x squared= 8 squared or 8*8 so it's 64. y squared to the other of one is equal to 2*1 which is 2.
2 • 3^2-1=
A)17
C)11
B)16
D)33
Answer:
A) 17
Step-by-step explanation:
3x3=9x2=18-1=17
you start with parenthasis, then exponents, then mulitplication/division, and finally addition/subtraction
Answer:
17
Step-by-step explanation:
2 • 3² - 1
= (2 • 3²) - 1
= (2 • 9) - 1
= 18 - 1
= 17
Rember to use the PEMDAS order, where,
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
_____
Hope it helps ⚜
Determine the cost of 2 years at a community college or 4 years at a state college (in your home state or out of state). explain the cost of your chosen college in 4-6 sentences. remember, the cost of college includes: tuition room and board books/supplies gas spending money
The explanation of the cost of a sample college would be the fact that fees such as tuition would be paid, other essentials that are necessary for the learning and development of the student such as books are also needed.
Calculations and Parameters:Given that a state college cost yearly includes:
Tuition------ $18,000Room and board------$12,000Books/Supplies------ $4,000Gas------- $5,500Spending Money--------$20,000Total-------------$59,534.Therefore, assuming that a community college cost would be less than the cost of a state college:
Tuition------ $10,000Room and board------$10,000Books/Supplies------ $3,500Gas------- $4,000Spending Money--------$20,000Total-------------$47,500Hence, to find the sample community college costs after 2 years would be $95,000.
The sample state college costs after 4 years would be $238,136.
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The graph shows the cost (C) of shipping a package based on its mass in pounds (p)
Enter an equation to represent the cost (C) of shipping a package based on its mass in pounds (p).
Answer:
C = 4p
Step-by-step explanation:
Because it starts at 0 pounds costs 0 dollars, we know it starts at the origin and has no y-intercept. Because it rises up 20 dollars for every 5 pounds, we can use rise/run to do 20/5 to get an increase of 4 dollars per pound.
Find the area of the regular figure below:
Will give brainliest to right answer :))
