Find the exact values of sin0/2 and cos0/2 for sin 0=11/19 on the interval 0 < 0 < 90
Answers
Step-by-step explanation:
\( \sin( \frac{ \alpha }{2} ) = \sqrt{ \frac{1 - \cos( \alpha ) }{2} } \)
\( \cos( \frac{ \alpha }{2} ) = \sqrt{ \frac{1 + \cos( \alpha ) }{2} } \)
Find cos using Pythagorean theorem.
\(( \sin( \alpha ) ) {}^{2} + ( \cos( \alpha ) ) {}^{2} = 1\)
\(( \frac{11}{19} ) { }^{2} + ( \cos( \alpha ) ) {}^{2} = 1\)
\(( \frac{121}{281} ) + ( \cos( \alpha ) ) {}^{2} = 1\)
\(( \cos( \alpha ) ) {}^{2} = \frac{160}{281} \)
\( \cos( \alpha ) = \frac{4 \sqrt{10} }{19} \)
Now, we use the formula
\( \sin( \frac{ \alpha }{2} ) = \sqrt{ \frac{1 - \frac{4 \sqrt{10} }{19} }{2} } \)
\( \sin( \frac{ \alpha }{2} ) = \sqrt{ \frac{ \frac{19 - 4 \sqrt{10} }{19} }{2} } \)
\( \sin( \frac{ \alpha }{2} ) = \sqrt{ \frac{19 - 4 \sqrt{10} }{38} } \)
\( \cos( \frac{ \alpha }{2} ) = \sqrt{ \frac{1 + \cos( \alpha ) }{2} } \)
\( \cos( \frac{ \alpha }{2} ) = \sqrt{ \frac{19 + 4 \sqrt{10} }{38} } \)
Related Questions
Complete the inequality to represent the following: 13 times a number x
is less than or equal to 200.
Answers
The value for the Inequality 13x ≤ 200 is x ≤ 15.384.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
13 times a number x is less than or equal to 200.
Now, Writing the Inequality Mathematically
13x ≤ 200
x ≤ 200 / 13
x ≤ 15.384
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Please help! What is the surface area of the cylinder with height 4 m and radius 8 m? Round your answer to the nearest thousandth.
Make sure to round please.
Answers
The surface area of the cylinder is 948m²
What is surface area of cylinder?The area occupied by a three-dimensional object by its outer surface is called the surface area. The surface of a cylinder is expressed as ;
SA = 2πr(r+h)
Where r is the radius of the base and h is the height of the cylinder.
r =8m
h = 4m
SA = 2 × 3.14 × 8 (8+4)
SA = 78.96 × 12
SA = 947.52 m²
to the nearest whole number
SA = 948 m²
therefore the surface area of the cylinder is 948 m²
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Last season Emily soccer team how to win loss ratio of 9 to 12 and Grant soccer team how to win loss ratio of 10 to 15 who’s team has a higher ratio of wins to losses use complete sentences to explain your reasoning
Answers
The Emily soccer team has the higher ratio of wins to losses.
What is Ratio?Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.
The ratio of a and b is denoted as a : b.
Given that,
Ratio of win to loss of Emily soccer team = 9 : 12
Ratio of win to loss of Grant soccer team = 10 : 15
9 : 12 = 9 / 12 = (9 × 5) / (12 × 5) = 45 / 60
10 : 15 = 10 / 15 = (10 × 4) / (15 × 4) = 40 / 60
If 60 games are losses, then 45 games are wins for Emily soccer team.
If 60 games are losses, then 40 games are wins for Grant soccer team.
Higher ratio is for Emily soccer team.
Hence higher ratio of wins to losses is for Emily soccer team.
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Determine the value of f(4) given the function shown. *
f(x) = x² + 3
A. 19
B. -1
C. -5
D. -13
Answers
The value of function f (4) is,
⇒ f (4) = 19
We have to given that;
The function is,
⇒ f (x) = x² + 3
Now, WE can find the value of f (4) by substitute x = 4 in above function as,
⇒ f (x) = x² + 3
Plug x = 4;
⇒ f (4) = 4² + 3
⇒ f (4) = 16 + 3
⇒ f (4) = 19
Thus, The value of function f (4) is,
⇒ f (4) = 19
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Find the real numbers that satisfy the equation |x| = -5/8
Answers
There are no real numbers, actual solutions to the equation |x| = -5/8.
What does the term "absolute value" mean?Several mathematical disciplines, including calculus, algebra, geometry, and number theory, employ the absolute value function. By removing the sign from a number or changing a complicated expression into a simpler one, it is frequently used to simplify expressions and equations. The distance between two points in n-dimensional space, where n is any positive integer, is also defined using the absolute value function. The absolute value function is also employed in many mathematical applications, including physics, engineering, economics, and finance, where it is utilised to describe quantities that can only have non-negative values.
There are no actual solutions to the equation |x| = -5/8. This is because |x| can never be negative because the absolute value function always returns a non-negative number. It follows that |x| cannot be equal to the negative integer -5/8.
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gym help
when doing any weighted exercises that involve using all or little of my body weight do i count my body weight and the added weight as my “actual weight lifted”? for example i weigh 150lbs and let’s say i did a single rep of weighted overhand chin ups with a single 20lbs weight wrapped around me and i wanted to track how much “actual weight” i just lifted would i write down and track just the 20lbs or my body weight 150lbs plus the weight 20lbs?
Answers
You should write down and track only the 20lbs weight during your weighted exercise while ignoring your body weight.
What is actual weight?Actual weight is also referred to as gross weight and it can be defined as the exact (original) weight of an object, as measured using an appropriate weighing scale.
This ultimately implies that, you would write down and track only the 20lbs weight during your weighted exercise such as a single rep of weighted overhand chin ups.
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determine if f, g, and h are true or false. If false, correct the statement with an explanation
Answers
We need to determine if the statements are true or false.
In order to do so, we need to pay attention to the following notations:
\(\begin{gathered} (\sin x)^{-1}=\frac{1}{\sin x} \\ \\ \sin^{-1}x=\text{ inverse function of }\sin x \end{gathered}\)The same notations apply to cosine and tangent functions.
The inverse f⁻¹(x) is the function such that:
\((f^{-1}\circ f)(x)=f^{-1}(f(x))=x\)Thus, we have:
\(\cos^{-1}(\cos(\frac{15\pi}{6}))=\frac{15\pi}{6}\)Therefore, statement g. is true.
In order to show that statements f. and h. are false, let's see what happens for x = 1/2:
\(\begin{gathered} \frac{\sin^{-1}(\frac{1}{2})}{\cos^{-1}(\frac{1}{2})}=\frac{\frac{\pi}{6}}{\frac{\pi}{3}}=\frac{3}{6}=0.5\text{ \lparen no units\rparen} \\ \\ \tan^{-1}(\frac{1}{2})\cong0.46\text{ \lparen rad\rparen} \\ \\ \Rightarrow\frac{\sin^{-1}(\frac{1}{2})}{\cos^{-1}(\frac{1}{2})}\ne\tan^{-1}(\frac{1}{2}) \end{gathered}\)\(\begin{gathered} \sin^{-1}(\frac{1}{2})=\frac{\pi}{6}\cong0.52 \\ \\ \frac{1}{\sin(\frac{1}{2})}\cong2.09 \\ \\ \Rightarrow\sin^{-1}(\frac{1}{2})\ne\frac{1}{\sin(\frac{1}{2})} \end{gathered}\)Answer:
f. False
g. True
h. False
Notice that we can correct the statements f. and h. by using the correct notation:
\(\begin{gathered} \text{ f. }\frac{(\sin x)^{-1}}{(\cos x)^{-1}}=(\tan x)^{-1} \\ \\ \text{ h. }(\sin x)^{-1}=\frac{1}{\sin x} \end{gathered}\)According to the admissions director of a certain college, approximately 11% of the 250 freshmen admitted had
applied using the early decision option. Suppose that we took random samples of 20 freshmen from this
population and computed the proportion of freshmen in each sample who had applied using the early decision
option. We can assume the admissions director's claim is true.
What will be the shape of the sampling distribution of p?
Answers
Answer:
Skewed to the right
Step-by-step explanation:
We have a right-skewed sampling distribution because the population proportion is so extreme relative to the sample size that there are fewer than 10 expected successes per sample.
The shape of the sampling distribution of p is skewed to the right because there are fewer than 10 projected successes per sample.
What is a histogram?It is defined as the numerical data representation in the graph with the help of a bar without space. The histogram gives an idea about the data's approximate distribution.
We have:
11% of the 250 freshmen admitted had applied using the early decision option.
Total number of samples = 20
It is given that the admissions director's claim is true.
As we can see from the data shape of the sampling distribution of p is skewed to the right because there are fewer than 10 projected successes per sample since the population proportion is so excessive in comparison to the sample size.
Thus, the shape of the sampling distribution of p is skewed to the right because there are fewer than 10 projected successes per sample.
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If you multiply a particular row by 0, how does it affect the solution or the system as a whole?
Answers
This row of zeros does not affect the other rows in the system, since multiplying a row by 0 does not change the values of the other rows. However, it does affect the solution of the system. If the row of zeros corresponds to a variable in the system, it means that this variable can take any value and does not affect the solution of the system. This variable is called a free variable.
In general, row scaling does not change the solution of a system of linear equations, since it is an elementary row operation that can be reversed by dividing the row by 0 (which is undefined) or by multiplying the row by a nonzero constant. However, row scaling can be useful in solving systems of linear equations, since it can simplify the system and make it easier to solve.
pls help bro plsssssssssssss
Answers
=5x + 19
just combine all the like terms
4. 10 + 5f + 6 + 2f - 9
=7 + 7f
5. m^2 + 12 + 3m^2 + 5n + 3 - n
=4m^2 + 15 + 4n
6. 3w + 4u + 9 + 2w + 5u + 1
=5w + 9u + 10
Answer:
3) 5x + 19
4) 7f + 7
5) 4m^2+4n+15
6) 9u + 5w + 10
Mr. Wilson has 30 students in his class. This is 12 more
students than Mr. Star has
How many students does Mr Star have
O A. ++30= 12
x=42 students
O B. **12=30
x= 72 students
O C. X+12=30
x=42 students
O D. x+12=30
x=18 students
Answers
Answer:
students of mr.wilson :30
students of Mr.star : 12 less than Mr.wilson
then, 30-12=18
Please help me solve this fast!
Answers
Answer:
1) 7/8 8/7
2) 4.4
3) 3.7
4) 2.8
Step-by-step explanation:
Length of bottom side of Figure A: 8 cm
Length of bottom side of Figure B: 7 cm
From Figure A to Figure B, the scale factor is 7/8.
7/8
8/7
5 × 7/8 = 35/8 = 4.375
4.4
3.2 × 8/7 = 3.657...
3.7
3.2 × 7/8 = 2.8
2.8
Please explain your answer. Will mark Brainliest (question 9)
Answers
The initial investment of the function is 20 dollars.
The rate growth in percentage is 4%.
The investment after 10 years is 29.6 dollars.
How to solve function?The function \(y=20(1.04)^{t}\) represents the value y of a saving account after t years.
Therefore, the initial investment of the function is 20 dollars.
The rate growth in percentage can be calculated as follows;
rate growth in percent = 0.04 × 100
rate growth in percent = 4 %
Let's find the value of the investment after 10 years.
Therefore,
\(y=20(1.04)^{t}\)
t = 10
\(y=20(1.04)^{10}\)
\(y=20(1.48024428492)\)
y = 29.6048856984
Therefore, the investment after 10 years is as follows:
y = 29.6 dollars
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PLEASE HELP 50 POINTS!!
The sum of two consecutive numbers is 157. This equation, where n is the first number, represents the situation:
2n + 1 = 157.
What is the first number?
A. 77
B. 78
C. 79
D. 80
Answers
If u add them n+(n+1) you get 157
So,
n+n+1=157
2n=156
n=78
A golf equipment salesperson earns a base salary plus commission on golf equipment sold as shown. If the salesperson sells $78,000 worth of equipment in a year, what is the total annual salary earned?
Answers
Answer:
50,120
Step-by-step explanation:47,000 times.04=3,120
then you add 3,120 and 47,000 which gives you 50,120
Answer:
50120 trust me where all doing the HMH on ur own lol
Step-by-step explanation:
Evaluate the expression
Answers
Answer:
7/12 or 0.583333333333...
Step-by-step explanation:
calculator
I think the answer is 0.83, tell me is it correct ok, I try to help you
How are triangleABC and triangle ADE related? How do you know pls explain.
Answers
Triangle ABC and ADE are similar triangles
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths.
This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.
It has been shown that angles in ABC and ADE are equal.
To show that the ratio of corresponding sides are equal
6/12 = 8/16 = 10/20
The ratios all give a value of 1/2
Therefore we can say that the triangles ABC and ADE are similar.
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veronica is making a large table in the shape of a trapezoid. she needs to calculate the area of the table she is making the longest side
Answers
1. We can see that the number in the bottom box is: 13.5yd.
2. The number in the top box is: 7.5yd.
3. The area of the table = 78.75yd²
What is a trapezoid?A trapezoid, also known as a trapezium in some countries, is a quadrilateral shape that has only one pair of parallel sides. The parallel sides of a trapezoid are called the bases of the trapezoid, and the non-parallel sides are called the legs.
We see here that in order to get the number in the bottom box, we discover that the number in the top box is a square which means that all the sides are equal to 7.5yd.
Thus, the number in the bottom box = 3 + 7.5 + 3 = 13.5yd.
Thus, the area of the table, a trapezoid = 1/2(a + b)h
Where a = 7.5yd
b = 13.5yd
height, h = 7.5yd.
Thus, A = 1/2(7.5 + 13.5) 7.5 = 157.5/2 = 78.75
∴ Area of the table, A = 78.75yd²
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what the answer for this area?
Answers
Answer:
the answer is 105
Step-by-step explanation:
because 5×3=15 so 15×7 =105
Which equation has the same solution as x² + 4x + 13 = -10?
Answers
From the given set of equation the one which has same solution as
x² + 4x + 13 = -10 is given by (x+2)² = -19.
As given in the question,
Given equation is equal to:
x² + 4x + 13 = -10
Simplify it we get,
x² + 4x + 13 +10 =0
⇒ x² + 4x + 23 =0 ___(1)
General quadratic equation is
ax² + bx + c =0
a = 1 , b =4 , c =23
Simplify the given options we have:
a. (x+2)² = -19
⇒ x² + 4x + 4 = -19
⇒ x² + 4x + 4 + 19 =0
⇒ x² + 4x + 23 =0
Has same solution as given one.
b. (x-2)² = -27
⇒ x² -4x + 4 +27 =0
⇒x² -4x +31 =0
'b' and 'c' value are different
Not have same solution.
c. (x-2)² =-19
⇒ x² -4x + 4 +19 =0
⇒x² -4x +23 =0
'b' value is different.
Not have same solution.
d. (x+2)² = -27
⇒ x² +4x + 4 +27 =0
⇒x² +4x +31 =0
'c' value is different
Not have same solution.
Therefore, from the given set of equation the one which has same solution as x² + 4x + 13 = -10 is given by (x+2)² = -19.
The complete question is:
Which equation has the same solution as x² + 4x + 13 = -10?
a. (x+2)² = -19
b. (x-2)² = -27
c. (x-2)² =-19
d. (x+2)² = -27
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A portion of the quadratic formula proof is shown. Fill in the missing statement
Statements Reasons
x squared plus b over a times x plus the quantity b over 2 times a squared equals negative 4 times a times c all over 4 times a squared plus b squared over 4 a squared Find a common denominator on the right side of the equation
x squared plus b over a times x plus the quantity b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared Add the fractions together on the right side of the equation
the quantity x plus b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared Rewrite the perfect square trinomial on the left side of the equation as a binomial squared
x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 4 times a squared Take the square root of both sides of the equation
x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 2 times a Simplify the right side of the equation
? Subtract the quantity b over 2 times a from both sides of the equation
x equals b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over a
x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
x plus b over 2 times a equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
Answers
The missing statement is the quadratic formula and the correct option therefore is the third option;
x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times aWhat is the quadratic formula?The quadratic formula is used to find the solution of a quadratic equation. The quadratic formula is; \(x = \frac{-b\pm\sqrt{b^2-4\cdot a\cdot c} }{2\cdot a}\)
The statements and reasons can be presented algebraically as follows;
Statements \({}\) Reasons
\(x^2+\frac{b}{a}\cdot x+(\frac{b}{2\cdot a} )^2 = -\frac{4\cdot a\cdot c}{4\cdot a^2}+ \frac{b^2}{4\cdot a^2}\) Find a common denominator on the
right side of the equation
\(x^2 + \frac{b}{a} \cdot x+(\frac{b}{2\cdot a} )^2 = \frac{b^2-4\cdot a \cdot c}{4\cdot a^2}\) Add the fractions together on the
\({}\) right side of the equation
\((x +\frac{b}{2\cdot a} )^2 = \frac{b^2 - 4\cdot a \cdot c}{4\cdot a^2}\) Rewrite the perfect squared equation
\({}\) to the left side of the equation as a
\({}\) binomial squared
\(x + \frac{b}{2\cdot a} = \pm\sqrt{\frac{b^2 - 4\cdot a \cdot c}{4\cdot a^2} }\) Take the square root of both sides of the
\({}\) equation
\(\underline{x = \frac{-b\pm\sqrt{b^2 - 4\cdot a \cdot c} }{2\cdot a}}\) Simplify the right side of the equation
The correct option is therefore;
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Answer:
A
Step-by-step explanation:
i took the test
have a great day :) .!
Find the volume giving brainlest
Answers
Answer:
440
Hope this helps! ;-)
The answer is 440!!!!
Find the length of mCYT given that m/CAT=132° and CA =8 in Circle A. Use
π = 3.14 in your calculation and round to two decimal places.
Answers
The length of the arc CT is 18.42 in
What is length of an arc?Arc length is defined as the distance along the part of the circumference of any circle or any curve (arc).
The length of an arc is expressed as;
L = (tetha) /360 × 2πr
where r is the radius = 8in
tetha is the arc formed by the arc and radius = 132.
l = 132/360 × 2 × 3.14 × 8
l = 6631.68/360
l = 18.42 in
therefore the length of arc CT is 18.42 in
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A decrease in the amount of principal owed on a loan is called what?
A. Note reduction
B. Amortization
C. Payment number
D. Unpaid balance
SUBMIT
Answers
The reduction in the principal balance through amortization has a significant impact on the loan's overall cost. As the principal decreases, the amount of interest charged on the outstanding balance also decreases.
the correct answer is B. Amortization.
A decrease in the amount of principal owed on a loan is called amortization.
Amortization refers to the gradual reduction of the principal balance of a loan over time through regular payments. When you make payments on a loan, a portion of the payment goes towards paying off the principal amount borrowed, while another portion goes towards paying the interest charged on the loan.
The process of amortization involves dividing the total loan amount into equal installments or payments over a specified period. With each payment made, a portion goes towards reducing the principal balance. As a result, the outstanding principal decreases over time, leading to the eventual repayment of the entire loan.
Amortization is a common feature in installment loans, such as mortgages, car loans, and personal loans. It allows borrowers to repay the loan gradually rather than in a lump sum, making it more manageable and affordable.
The reduction in the principal balance through amortization has a significant impact on the loan's overall cost. As the principal decreases, the amount of interest charged on the outstanding balance also decreases. This means that over time, a larger portion of each payment goes towards paying off the principal, helping the borrower build equity and ultimately fully repay the loan.
Therefore, the correct answer is B. Amortization.
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Jorge bought a crate of floor tiles for $95.94. The crate had 6 boxes of floor tiles. Each box contained 20 floor tiles.
Write and solve an equation to determine the cost per box, b. Then write and solve a second equation to determine the cost per tile, t, to the nearest cent. Show your work.
HELP!!
Answers
The solution is:
⇒ 6b = 95.94 (equation to determine cost of one box)
cost of one box 'b' = $`15.99
⇒ 12t = 95.94 (equation to determine cost of per tile)
cost of one tile t = $0.7995.
Given :
Jorge bought a crate of floor tiles for $95.94.
The crate had 6 boxes of floor tiles.
Each box contained 20 floor tiles .
To Find :
Write and solve equation to determine the cost per box'b'.
Write and solve a second equation to determine the cost per tile't'
Solution :
Cost of one box = b
There are 6 boxes
So, cost of 6 boxes = $ 6b
Since Jorge bought 1 crate( = 6 boxes) of cost $95.94
⇒ (equation to determine cost of one box)
⇒6b = 95.94
⇒b =15.99
Thus cost of one box = $`15.99
Since 1 box 20 floor tiles
So, 6 boxes (=1 crate) contain tiles = 6*20 = 120 tiles
We are given that cost of 1 crate( = 6 boxes = 120 tiles) is $95.94
Cost of one tile = t
Cost of 120 tiles = $120t
⇒ (equation to determine cost of per tile)
⇒12t = 95.94
⇒t = 0.7995.
Thus cost of one tile t = $0.7995.
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A snowboardertravels 105 metersin 7 secondsA skier travels for4 seconds andcovers 72 meters.How far will a skier travel in2/12minutes? Explain how you figured it out1 minute = 60 seconds
Answers
To be able to determine the distance covered by the skier at 2/12 minutes, let's first determine his constant rate (speed).
We get,
A skier travels for 4 seconds and covers 72 meters.
\(\text{ Constant Rate (Speed) = }\frac{\text{ Distance Traveled}}{\text{ Time}}\text{ = }\frac{\text{ 72 meters}}{4\text{ seconds}}\)\(\text{ = 18 meter/ second}\)Let's now determine the distance he traveled at 2/12 minutes.
Step 1: First, convert 2/12 minutes into seconds.
\(\text{ }\frac{2}{12}\text{ (minutes) x }\frac{60\text{ seconds}}{1\text{ (minute)}}\text{ = }\frac{2}{12}\text{ x 60 seconds = 10 seconds}\)Step 2: Multiply the time in seconds by the constant rate (speed) of the skier.
\(\text{ 10 ( seconds) x 18 }\frac{\text{ meters}}{\text{ (second)}}\text{ = 10 x 18 meters = 180 meters}\)Therefore, the skier traveled 180 meters in 2/12 minutes.
Question 1 Which of the following order cycle lengths would require the buyer to hold the most total inventory during lead time? 10 days, +/4 days 10 days, +/- 2 days 9 days, +/-3 days 8 days, +/-5 days
Answers
The order cycle length that would require the buyer to hold the most total inventory during lead time is 8 days with \(\pm\) 5 days of variation, as it has the widest range of variation, and thus, the most variability to be covered by safety stock.
The order cycle length and the variability in demand and lead time both affect the amount of inventory that a buyer needs to hold during lead time. The longer the order cycle length, the more inventory the buyer needs to hold during lead time to cover demand until the next order arrives. On the other hand, the greater the variability in demand and lead time, the more safety stock the buyer needs to hold to avoid stockouts.
We must take into account both the order cycle length and the fluctuation in demand and lead time to determine which of the mentioned order cycle lengths would need the buyer to keep the highest total inventory during lead time.
The order cycle lengths are:
10 days, \(\pm\) 4 days
10 days, \(\pm\) 2 days
9 days, \(\pm\) 3 days
8 days, \(\pm\) 5 days
The variability in demand and lead time is greater in the orders with wider ranges of variation. Therefore, we can calculate the range of variation for each order cycle length by adding the maximum variation in demand and the maximum variation in lead time:
10 days, \(\pm\) 4 days: range of variation = 4 + 4 = 8 days
10 days, \(\pm\) 2 days: range of variation = 2 + 2 = 4 days
9 days, \(\pm\) 3 days: range of variation = 3 + 3 = 6 days
8 days, \(\pm\) 5 days: range of variation = 5 + 5 = 10 days
Hence, the order cycle length with the greatest range of variation, and hence the most variability that needs to be covered by safety stock, is 8 days with \(\pm\) 5 days of fluctuation. This order cycle length would need the buyer holding the highest total inventory throughout lead time.
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A group of friends wants to go to the amusement park. They have $100 to spend on
parking and admission. Parking is $13, and tickets cost $14.50 per person, including
tax. How many people can go to the amusement park?
Answers
Answer:
3
Step-by-step explanation:
14.50 + 13.00 = 27.50
27.50 x 3 = 82.50
Answer:
6
Step-by-step explanation:
\color{red}{14.5}x+\color{blue}{13}=
14.5x+13=
\,\,\color{purple}{100}
100
-\color{blue}{13}\phantom{=}
−13=
\,\,-\color{blue}{13}
−13
Subtract 13 from both sides
\color{red}{14.5}x=
14.5x=
\,\,87
87
\frac{\color{red}{14.5}x}{\color{red}{14.5}}=
14.5
14.5x
=
\,\,\frac{87}{\color{red}{14.5}}
14.5
87
Divide both sides by 14.5
x=
x=
\,\,\boxed{6}
6
\text{6 people can go to the amusement park.}
6 people can go to the amusement park.
Graph the point on the graph.
Answers
Answer:
see below
Step-by-step explanation:
To graph this equation, start at the origin (0,0) since there is not y-intercept.
Because slope is characterized by rise/run ( i.e. how many units up or down depending on whether it is positive or negative and then however many units to the right.
Because the rise (up and down, numerator) is 1, we know that we will go up one unit.
The run (side to side, denominator) is 4, so we will go to the right 4 units.
This makes the first point (4, 1).
Continue doing this until you get an idea of the line and connect the points to get the graph
Answer:
Info down in Explaination
Step-by-step explanation:
To graph this equation, start at the origin (0,0) since there is not y-intercept.
Because slope is characterized by rise/run ( i.e. how many units up or down depending on whether it is positive or negative and then however many units to the right.
Because the rise (up and down, numerator) is 1, we know that we will go up one unit.
The run (side to side, denominator) is 4, so we will go to the right 4 units.
This makes the first point (4, 1).
Continue doing this until you get an idea of the line and connect the points to get the graph
1-89. On graph paper, draw the quadrilateral with vertices A(–1, 3), B(4, 3), C(–1, –2), and D(4, –2).
Answers
Step-by-step explanation:
this is the answer
in graph
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