Answer:
Answer
Step-by-step explanation:
c(0)=0 There is no customers in the restaurant at 8 a.m.
c(3)=c(8) There are the same numbers of customers in the restaurant at 11 a.m. as there are at 4 p.m.
c(n)=29 There are 29 customers in the restaurant n hours after 8 a.m.
c(13)<c(12) There are fewer customers in the restaurant at 9 p.m. than there are at 8 p.m.
hope this helps!!
Describe the pattern in the table using an equation. x/y chart. Show an explanation pls
x:1,2,3,4 y:15,25,35,45
Answer:
1 en 1 y 5 en 5hdkdhjfjvzdkvdkdkdvdjdljdxl
I don’t know if it’s true or false
Answer:
false
Step-by-step explanation:
ur teacher is dum
Follow the steps to find the
area of the shaded region.
Use trigonometry to find
the height of the triangle.
Hint: Use SOHCAHTOA
h = [?] cm
51%
8 cm
Round to four decimal places.
129°
8 cm
Answer:
6.2172
Step-by-step explanation:
sin129=h/8
h=8(sin129)
8 x 0.77714596... =
6.2172
I just did it.
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The height of the triangle is 6.2172 cm.
What is Sine (Sinθ)?The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,
Sin(θ) = Perpendicular/Hypotenuse
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
In the given diagram let the centre of the circle be represented by O, while the point at which line segment h and the circle intersect be represented by B. Also, the point at which the 90° angle is formed is represented by A.
Now, in the ΔABO, for the ∠AOB, the sine ratio of the trigonometric function can be written as,
sin(θ) = perpendicular / Hypotenuse
sin(51°) = AB / OB
sin(51°) = h/ 8 cm
8cm × sin(51°) = h
h = 6.2172 cm
Hence, the height of the triangle is 6.2172 cm.
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A 532 Hz longitudinal wave in air has a speed of 345 m/s
Choose the correct the equation for this wave traveling to the right, if its amplitude is 0.020 cm, and D=-0.020 cm, at t = 0 and x = 0. a. D(x,t) = -0.020 cos(9.69x – 3340t) cm b. D(x, t) = 0.020 cos(9.69x + 3340t) cm c. D(x, t) = 0.020 cos(9.69x – 3340t) cm d. D(x, t) = 0.020 cos(1.54x + 532t) cm e. D(x, t) = -0.020 cos(1.54x + 532t) cm f. D(x, t) = 0.020 cos(1.54x - 532t) cm g. D(x, t) = -0.020 cos(9.69x + 3340t) cm h. D(x, t) = -0.020 cos(1.54x – 532t) cm
The correct the equation for this wave traveling to the right, if its amplitude is 0.020 cm is D(x, t) = 0.020 cos(9.69x – 3340t) cm. The correct answer is C.
We know that the equation for a longitudinal wave traveling to the right is given by:
D(x,t) = Dmax cos(kx - wt)
where:
Dmax = amplitude of the wave
k = wave number = 2π/λ
λ = wavelength
w = angular frequency = 2πf = 2π/T
f = frequency
T = period
x = position
t = time
We are given the following information:
f = 532 Hz
v = 345 m/s
Dmax = 0.020 cm
D = -0.020 cm at t = 0 and x = 0
We can calculate the wavelength and wave number as follows:
v = λf
λ = v/f = 345/532 = 0.6485 m
k = 2π/λ = 9.69 m^-1
We can also calculate the angular frequency as follows:
w = 2πf = 2π(532) = 3344.5 rad/s
The equation for the wave is therefore:
D(x,t) = 0.020 cos(9.69x - 3344.5t)
At t = 0 and x = 0, we have:
D(0,0) = 0.020 cos(0) = 0.020 cm
This does not match the given value of D, so we need to add a phase shift to the equation to account for this:
D(x,t) = 0.020 cos(9.69x - 3340t)
Therefore, the correct option is (c) D(x, t) = 0.020 cos(9.69x – 3340t) cm.
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it shows also that the barn will be used as part of the fencing on one side. find the largest area that can be enclosed if 88 feet of fencing material is available
The largest area that can be enclosed if 88 feet of fencing material is available is 484 feet².
Given, a barn has a perimeter of 88 feet.
Now, the perimeter of the rectangle i.e. Barn is 88 feet.
Perimeter = 2(l + b)
88 = 2(l + b)
l + b = 44
b = 44 - l
Now, area = l × b
Area = l × (44 - l)
Area = 44l - l²
On differentiating both the sides, we get
A' = 44 - 2l
On putting A' = 0
44 - 2l = 0
l = 22
Now, for l = 22 the area will be the largest.
if l = 22
then, 22 + b = 44
b = 22
So, the largest area will be 22×22 = 484
Hence, the largest area that can be enclosed if 88 feet of fencing material is available is 484 feet².
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The hundredths model in the figure is shaded to represent the multiplying of two numbers.
Which equation can be represented by the shaded parts of the model?
A. 80 x 40 = 3,200
B. 0.08 x 0.04 = 0.32
C. 0.80 x 0.40 = 0.32
D: 0.08 x 0.04 = 0.032
The equation that represents by the shaded parts of the model is \(0.80 \times 0.40 = 0.32\).
What is multiplication?"Multiplication (often denoted by the cross symbol ×, by the mid-line dot operator ⋅, by juxtaposition, or, on computers, by an asterisk *) is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.
The multiplication of whole numbers may be thought of as repeated addition; that is, the multiplication of two numbers is equivalent to adding as many copies of one of them, the multiplicand, as the quantity of the other one, the multiplier. Both numbers can be referred to as factors."
In the given figure,
The area of the grey blocks is \(4 \times 2 = 8\)
And the area of the green block is \(10 \times 4 = 40\)
So, the yellow area will be \(8 \times40 = 320\)
Hence, C is the correct option.
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I really need help can someone please answer?
The points (0,3), (1,8), (2,17), and (3,30) are on the graph of a function. Which of the following equations represents that function?
a.2x^{2}-3x+3
b.2x^{2}+3x-3
c.2x^{2}-3x-3
d.2x^{2}+3x+3
Answer:
D. 2x^{2}+3x+3Step-by-step explanation:
Use the ordered pairs to determine the correct function
Point (0, 3)
x = 0 and y = 3- options A or D, the others result in y = -3Point (1, 8)
x = 1, y = 8 - option A.
2*1^2 - 3*1 + 3 = 2 - incorrectIt leaves us with option D
2*1^2 +3*1 + 3 = 8 - correctCheck other two pairs as well:
2*2^2 + 3*2 + 3 = 172*3^2 + 3*3 + 3 = 30This confirms option D is correct
The ingredients used to make an apple pie cost a bakery $2.29. The bakery sold each pie at a 770% markup. If John bought an apple pie and then paid $3.99 for it to be delivered, how much did John pay in total? Round to the nearest cent.
Answer: $21.6
Step-by-step explanation:
What is the slope of the graph?
Relational databases are heavily based on the mathematical concept of: A) Set Theory. B) Bet Theory. C) Get Theory. D) Met Theory.
Relational databases are heavily based on the mathematical concept of: Set Theory. The correct option is (A).
Relational databases are based on the principles of set theory, which deals with sets of elements and their relationships with each other. In a relational database, data is organized into tables, with each table representing a set of related data.
The tables are then related to each other through the use of keys, which allow for the establishment of relationships between different sets of data. The principles of set theory also govern the use of operations such as union, intersection, and difference, which can be used to manipulate the data in the tables.
Therefore, the mathematical concept of set theory is a fundamental part of the design and use of relational databases.
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mr turner uses a carpenter's square to find the distance across a stream. the carpenter's square models right angle nol. he puts the square on top of a pole that is high enough to sight along segment ol to point p across the river. then he sights along segment on to point m. if the length of mk is 1.5 feet and the length of ok is 4.5 feet, find the distance of the length of kp across the stream.
The distance across the stream (the length of KP) is approximately 6.543 feet.
What is the Pythagorean theorem?The Pythagοrean theοrem is a fundamental principle in mathematics that relates tο the lengths οf the sides οf a right triangle. It states that in any right triangle, the square οf the length οf the hypοtenuse (the side οppοsite the right angle) is equal tο the sum οf the squares οf the lengths οf the οther twο sides. In οther wοrds, if a right triangle has sides οf lengths a, b, and c (where c is the hypοtenuse), then:
\(c^2 = a^2 + b^2\)
The Pythagοrean theοrem is named after the ancient Greek mathematician Pythagοras, whο is credited with discοvering it. The theοrem has numerοus practical applicatiοns in fields such as engineering, architecture, and physics, and is a fundamental cοncept in geοmetry.
Tο sοlve this prοblem, we will use the Pythagοrean theοrem which states that in a right triangle, the square οf the length οf the hypοtenuse (the side οppοsite the right angle) is equal tο the sum οf the squares οf the lengths οf the οther twο sides.
Let's label the sides οf the right triangle as fοllοws:
Hypοtenuse: KP
Side adjacent tο angle NOL: OK (given as 4.5 feet)
Side οppοsite angle NOL: MK (given as 1.5 feet)
We want tο find the length οf KP.
First, we need tο find the length οf OL. We can dο this by using the Pythagοrean theοrem in the right triangle NOL:
\(OL^2 = OK^2 + LK^2\)
We don't know the length of LK, but we can use similar triangles to find it. The two right triangles NOL and NOM are similar because they share the angle NOM and have a right angle. This means that the corresponding sides are proportional. In particular, we have:
LK / MK = OL / OK
or
LK = MK * OL / OK
Substituting this expression into the Pythagorean equation for OL, we get:
\(OL^2 = OK^2 + (MK * OL / OK)^2\)
Expanding and simplifying, we obtain a quadratic equation for OL:
\((OK^2) * OL^2 - (OK^2 + MK^2) * OL + MK^2 * OK^2 = 0\)
We can solve this quadratic equation using the quadratic formula:
\(OL = \frac{ [OK^2 + \sqrt{((OK^2 + MK^2)^2 - 4 * OK^2 * MK^2)} ]}{(2 * OK^2)}\)
(Note that we take the positive root because OL is a length.
Putting in the given values for OK and MK, we get:
\(OL =\frac{[4.5^2 + \sqrt{((4.5^2 + 1.5^2)^2 - 4 * 4.5^2 * 1.5^2)} ] }{(2 * 4.5^2)}\)
Simplifying this expression, we get:
OL ≈ 5.097 feet
Now we can use the Pythagorean theorem in the right triangle KOL:
\(KP^2 = OK^2 + OL^2\)
Putting in the values we know, we get:
\(KP^2 = 4.5^2 + 5.097^2\)
Simplifying and taking the square root, we get:
KP ≈ 6.543 feet
Therefore, the distance across the stream (the length of KP) is approximately 6.543 feet.
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if maddison want 300 bottles of water, how many cases should she order?
Answer:15
Answer:
25 cases of 12 bottles
Step-by-step explanation:
Mason opens a savings account by making a $165.85 deposit. Every week, he deposits another $20.50 in the account. The following expression shows the amount of money that will be in the account x weeks after Mason opens it.
165.85 + 20.5x
How much money will be in the account after 10 weeks?
After 10 weeks, there will be $
in the account.
Answer:
370.85
Step-by-step explanation:
Right answer please
Calculate (3.012 x 10−8) + (4 x 10−8).
3.016 x 10−16
7.012 x 10−16
7.012 x 10−8
7.012 x 20−8
Answer: 7.012 x 10−8 ==> Option 3
Step-by-step explanation:
(3.012 x 10−8) + (4 x 10−8)=
(3.012+4) x 10−8=
(3.012+4.000) x 10−8=7.012 x 10−8 ==> Option 3
Calculating the expression (3.012 x 10−8) + (4 x 10−8) is 7.012 x 10^(-8).
How to calculate (3.012 x 10−8) + (4 x 10−8).To calculate (3.012 x 10^(-8)) + (4 x 10^(-8)), we can add the numbers as follows:
(3.012 x 10^(-8)) + (4 x 10^(-8)) = (3.012 + 4) x 10^(-8) = 7.012 x 10^(-8)
So, the correct answer is 7.012 x 10^(-8).
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yo can anyone tell me a expression with two terms, one variable and one coefficient. please ty.
Answer:
We conclude that the required expression with two terms, one variable, and one coefficient will be:
\(3x+4\)Step-by-step explanation:
Consider the expression
\(3x+4\)
Terms:
We know that a term is a single mathematical expression. The expression has two terms which are:
3x4Variable:
The expression has one variable which is:
xCoefficient:
We know that the coefficient is the number part of the term with a variable. Thus, the coefficient of the term 3x has one coefficient which is:
3Therefore, we conclude that the required expression with two terms, one variable, and one coefficient will be:
\(3x+4\)I NEED HELP!!! Statistics can improve what areas of society? (pick all that apply)
a. Medical Treatments
b. Employment Rate
c. Environment
d. Government
e. Your Love Life
f. Business
Answer:
i would pick A,B,D,F
-ANime❤
What is the y-intercept of the line with the equation below?
Y = 10x - 7
Answer:
-7
Step-by-step explanation:
the y intercept is the value that is not a foefficient of x or y
answer is: -7
Alex is correct
use the trapezoidal rule, the midpoint rule, and simpson's rule to approximate the given integral with the specified value of n. (round your answers to six decimal places.) 3 0 1 10 y5 dy, n
Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.
What is polynomial?
A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.
Here,
When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.
This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.
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I am confused how they were able to get the constraints in ch6
problem 10P
In Chapter 6, Problem 10P, the constraints are derived based on the given problem scenario and the objective of the optimization problem. Without specific details about Problem 10P in Chapter 6, it is challenging to provide a precise explanation.
However, I can provide a general understanding of how constraints are typically formulated in optimization problems. In optimization problems, constraints are used to represent the limitations or restrictions on the decision variables. These constraints can arise from various sources, such as physical constraints, resource constraints, budget constraints, or technical constraints. To derive the constraints, you need to carefully analyze the problem statement and identify the conditions or limitations that must be satisfied. These conditions are then translated into mathematical inequalities or equations that relate the decision variables. For example, if the problem involves allocating limited resources among different activities, the constraints would represent the availability of those resources and ensure that the total allocation does not exceed the available amount. Similarly, if the problem involves production planning, constraints might include demand requirements, capacity limitations, or inventory constraints. In general, the process of formulating constraints requires careful consideration of the problem's requirements, objectives, and limitations. It often involves translating real-world constraints into mathematical expressions to create a well-defined optimization problem that can be solved using appropriate techniques.
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What is one way the Federal Reserve can reduce the amount of money available in the economy?
A. Raising the discount rate
B. Selling treasury securities
C. Buying treasury securities
D. Lowering the interest on reserves
Answer:
B. Selling treasury securities
Step-by-step explanation:
I'm taking the quiz
The Federal Reserve can reduce the amount of money available in the economy is buying treasury securities.
What is a federal reserve?The Federal Reserve can decrease the money supply by increasing the discount rate. a. Raising the discount rate provides depository institutions a minor incentive to borrow, thereby decreasing their reserves and lending activity. The U.S. government created the Federal Reserve, the nation's central bank, to control the money supply and contain economic calamities.One of the primary objectives of the Federal Reserve exists to function as the lender of last resort, permitting banks to borrow from the central bank when needed.The Fed operates three immediate tools in handling the money supply and observing stable economic growth. The tools exist (1) reserve needs, (2) the discount rate, and (3) open market operations.Each of these controls the money supply in different forms and can be utilized to obtain or develop the economy.The Federal Reserve can decrease the amount of money general in the economy stands buying treasury securities.Therefore, the correct answer exists as option B. Selling treasury securities.
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Help!!
I will mark you brainliest for the correct answer.
Please help!!!
To find the interior of Y
Y = 180 - 135
Y = 45
The interior of Z is 49 because the angles are mirrored to each other
then, to find x,
X = 180 - 45 - 49
X = 86
so your answer should be 86.
PLEASE HELP!! ASAP PLEASE!!
Answer:
option c is the right answer
use the distributive property to find y.
(3 x 7) - (3x 1) = y x (7 - 1)
someone please help!!
Answer:
x=0
Step-by-step explanation:
21x-3x=yx(7-1)
18x=6xy
18x=6xy=0
6x(3-y)=0
x=0
ASAP NEED HELP really bad please
Answer:
1) See attachment.
2a) Initial Amount = 3600.
Growth/Decay factor = ³/₂.
2b) Growth function.
\(\textsf{3)}\;\;\; f(x)=1*2^x\)
4) 69 lions.
Step-by-step explanation:
General form of an exponential function
\(\boxed{y=ab^x}\)
where:
x is the independent variable.y is the dependent variable.a is the initial value (y-intercept).b is the base (growth/decay factor) in decimal form.If b > 1 then it is an increasing function.
If 0 < b < 1 then it is a decreasing function.
Question 1Given function:
\(f(x)=\left(\dfrac{1}{2}\right)^x\)
Complete the table of ordered pairs by substituting the values of x into the given function:
\(\begin{array}{|c|c|}\cline{1-2}x&y\\\cline{1-2}-3&8\\\cline{1-2}-2&4\\\cline{1-2}-1&2\\\cline{1-2}0&1\\\cline{1-2}1&0.5\\ \cline{1-2}\end{array}\)
Plot the ordered pairs on the given coordinate plane (see attached graph) and draw a curve through them.
This exponential function has a horizonal asymptote at y = 0.
As the value of x approaches infinity, the function gets closer and closer to y = 0 (x-axis) but doesn't actually touch it.
Question 2Given exponential function:
\(f(x)=3600\left(\dfrac{3}{2}\right)^x\)
Part 2a
To find the initial amount "a" and growth/decay factor "b", simply compare the given function with the general exponential function.
Therefore:
Initial Amount = 3600.Growth/Decay factor = ³/₂.Part 2b
As b = ³/₂ and ³/₂ > 1, this is a growth function (increasing).
Question 3"a" is the initial value (y-intercept) of an exponential function.
The y-intercept of a function is the y-value when x = 0.
Therefore, from inspection of the given table, the y-intercept of the given function is 1.
Therefore, a = 1.
"b" is the base (growth/decay factor) of an exponential function.
To find the base (growth/decay factor) of the given function, divide a value of y by its preceding value of y:
\(\implies b=\dfrac{4}{2}=\dfrac{2}{1}=\dfrac{1}{\frac{1}{2}}=...=2\)
Therefore, b = 2.
So the exponential function for the given table is:
\(f(x)=\boxed{1}*\boxed{2}\;^x\)
Question 4If the population of lions started at 80, then the initial value "a" of the exponential function is 80.
If the population has been decreasing by 3.5% per year, then the population each year is 96.5% of the previous year since:
100% - 3.5% = 96.5%Therefore, the base "b" of the exponential function is 0.965 (in decimal form).
Substitute the found values of a and b into the exponential function formula to create an exponential function for the given scenario:
\(\boxed{f(t)=80(0.965)^t}\)
where:
f(t) is the number of lions.t is the time (in years).To find how many lions will there be in four years, substitute t = 4 into the found exponential equation:
\(\implies f(4)=80(0.965)^4=69.37440005\)
Therefore, there will be 69 lions in four years.
how are the graphs of y=2x+1 and y=-2x+1 similar? how are they different?
We want to compare the graphs of the two given linear equations, we will find that they have the same y-intercept but opposite slopes.
Linear equations:
A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Here the two equations are:
y = 2*x + 1y = -2*x + 1So you can easily see that the two equations have the same y-intercept but opposite slopes.
So both of them pass through the point (0, 1) and both are lines, these are the similarities.
And the difference is that the slopes are just different.
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I NEED HELP ON QUESTION 7 ASAP!!!
Answer:
Formula to find the Area of a triangle is A=1/2* bh
A=area
B=base
H=height
Part C.)
1/2b*12=108
multiply entire equation by the reciprocal of 1/2 (2/1) to clear the fraction, then ...divide 216 by 24, and get b=9
Your base is 9
Please helppppp pls ……
how many ways to select a subset of eight donuts from three types of doughnuts if at most two doughnuts of the first type can be chosen?
There are a total of 27 ways to select a subset of eight donuts from three types of doughnuts if at most two doughnuts of the first type can be chosen.
Step 1: Determine the number of ways to select two doughnuts of the first type. This can be done in 3 ways (0, 1, or 2 doughnuts of the first type).
Step 2: Determine the number of ways to select the remaining six doughnuts from the other two types. This can be done in 7 ways (0, 1, 2, 3, 4, 5, or 6 doughnuts of the second type and the remaining doughnuts of the third type).
Step 3: Multiply the number of ways to select two doughnuts of the first type by the number of ways to select the remaining six doughnuts from the other two types. This gives us the total number of ways to select a subset of eight doughnuts from three types of doughnuts if at most two doughnuts of the first type can be chosen.
3 * 7 = 21
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EG is a tangent to the circle below at point F.
Calculate the size of angle x.
Give reasons for your answer.
\(\angle FHD=74^{\circ}\) (alternate segment theorem)
\(x=77^{\circ}\) (angles in a triangle add to 180 degrees)
−4(n−6)−3=7 solve for n