Find the exact value of cos(alpha - beta) given sin(alpha) = - 4/5 and cos(beta) = - 5/8 in Quadrant iii and B in Quadrant ii
Answers
Answer:
15-4(sqrt39)/40
Step-by-step explanation:
just did it on edge
Related Questions
Cars lose value over time. Every decade, their value decreases by 1/2. A car is bought for $2000. How much is it worth after 1 decade?
Answers
Answer:
$1000
Step-by-step explanation:
We can model the price of a given car with the formula \(P=I\cdot\frac{1}{2}^t\), where P is the current price of the car, I is the initial price, and t is the amount of time in decades that the car has been around. Plugging 2000 in for I and 1 in for t, we get:
\(P=2000\cdot\frac{1}{2}^{t}=2000\cdot\frac{1}{2}=1000\)
Determine if the function represents growth, decay or neither
y= 4(3/8)^x
Answers
The given function y = 4(3/8)^x represents exponential decay.
As x increases, the value of y decreases at an increasingly rapid rate, reflecting the decay behavior of the function.
The given function is y = 4(3/8)^x. To determine if the function represents growth, decay, or neither, we need to examine the base of the exponent, which is (3/8).
When the base of an exponential function is between 0 and 1, such as (3/8) in this case, it represents exponential decay. This is because as the exponent (x) increases, the value of the function decreases.
In the given function, the coefficient 4 multiplied by the decaying exponential term (3/8)^x indicates that the function starts with an initial value of 4 and then exponentially decreases. The term (3/8)^x represents the decay factor, where x determines the extent of decay.
Therefore, we can conclude that the given function, y = 4(3/8)^x, represents exponential decay. As x increases, the value of y decreases at an increasingly rapid rate, reflecting the decay behavior of the function.
In summary, the given function y = 4(3/8)^x represents exponential decay.
For more such questions on exponential decay, click on:
https://brainly.com/question/29740916
#SPJ11
Which graph represents the function f(x) = 2x-1 +2
Answers
Answer: Graph A
Step-by-step explanation:
Graph A. If you find the y-intercept by plugging in 0 for x, you get 2.5 = y, so therefore graph A is correct.
In the table, which TWO relationships describe a function?
Name Tammy Allen Juan Keshia
Hair Color Red Brown Black Brown
Eye Color Hazel Brown Brown Blue
Responses
A Name as a function of hair colorName as a function of hair color
B Hair color as a function of eye colorHair color as a function of eye color
C Eye color as a function of nameEye color as a function of name
D Eye color as a function of hair colorEye color as a function of hair color
E Hair color as a function of nameHair color as a function of name
F Name as a function of eye color
Answers
The two relationships that describe a function in the table are A: Name as a function of hair color, and D: Eye color as a function of hair color.
A function is a relationship between two sets of values in which each element of the first set corresponds to exactly one element of the second set. In this table, for each hair color there is only one associated name, so the relationship between name and hair color is a function. Similarly, for each hair color there is only one associated eye color, so the relationship between eye color and hair color is also a function.
Note that the other relationships listed in the question (B, C, E and F) are not functions because they do not have a one-to-one correspondence between the two sets of values. For example, in the relationship between eye color and name, multiple people (Juan and Keshia) have the same eye color (brown), so this relationship does not describe a function.
Therefore, options A and D are the correct answer.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ1
Which function is a vertical shift of the parent function of f(z) = x
A. f(2)=1-6
B. f (2)=-4.1
C. f(2)=1
D. 2f (1)=I
Answers
Answer:
I'm going out on a branch and say B
Diagnostic tests of medical conditions can have several types of results. The test result can be positive or negative, whether or not a patient has the condition. A positive test (+) indicates that the patient has the condition. A negative test (−) indicates that the patient does not have the condition. Remember, a positive test does not prove the patient has the condition. Additional medical work may be required. Consider a random sample of 200 patients, some of whom have a medical condition and some of whom do not. Results of a new diagnostic test for the condition are shown.
Assume the sample is representative of the entire population. For a person selected at random, compute the following probabilities. (Enter your answers as fractions.) Test Result Test Result Column Total Condition Present 105 24 129 Condition Absent 25 46 71
(a) P(+ condition present): this is known as the sensitivity of a test.
(b) P(- | condition present); this is known as the false-negative rate.
(c) Pcondition absent); this is known as the specificity of a test.
(d) P(+ | condition absent); this is known as the false-positive rate
(e) Prcondition present and +); this is the predictive value of the test
(f) P(condition present and-)
Answers
Answer:
a. 105/130
b. 25/130
c. 46/70
d. 24/70
e. 105/200
f. 25/200
Step-by-step explanation:
A.
P(+|condition present)
= Prob(+ and condition present)/condition present
= 105/130
B.
P(-|condition present)
= Prob(- and condition present)/condition present
= 25/130
C.
P(-|condition absent)
= Prob(- and condition absent)/condition absent
= 46/70
D.
P(+ | condition absent)
= Prob(+ and condition absent)/condition absent
= 24/70
E.
P(condition present and +)
= 105/200
F.
P(condition present and -)
= 25/200
can someone please help me I will mark brainlest.
Answers
Step-by-step explanation:
10. a) < 3, option A (corresponding angle).
b) m<11 = 60°, option C .
<13 + <15 = 180°
=> <15 = 60°(=180°-120°) = <11 corresponding angle.
A quadrilateral is shown.
H
6.5
5.51
What is the area of the quadrilateral? Enter the answer in the box.
Answers
The calculated area of the quadrilateral is 35.82 square units.
What is the area of the quadrilateral?Given that
BAse = 6.5
Height = 5.51
To find the area of a quadrilateral, we need to multiply the base by the height.
Area of quadrilateral = base x height
Substituting the given values, we get:
Area = 6.5 x 5.51
Area = 35.815
Rounding to the nearest hundredth, the area of the quadrilateral is 35.82 square units.
Read more about area at
https://brainly.com/question/24487155
#SPJ1
For each proof, you must include (i.e., write) the premises in that proof. I do not want to see any proofs without premises. YOU CANNOT USE CONDITIONAL PROOF (CP), INDIRECT PROOF (IP), OR ASSUMED PREMISES (AP). Additionally, use only the 18 rules of inference found in the text and in the notes. If you use an inference rule such as Resolution or Contradiction, you will lose points. 1. 1. C ---> (~D ---> ~X)2. C3. X /D (Note: /D means you have to prove that D validly follows from the premises.)_________________________________________________________________2. 1. A ---> ~B2. B3. ~A ---> (C v ~ B) /C____________________________________________________________________3. 1. A ---> ~D2. ~D ---> (~B v ~~A)3. A4. B /~~A___________________________________________________________________Note:you don't need to use DN and when you have iterated negation signs, do not use parentheses.~~A does not need parentheses.
Answers
B is true, so we can conclude ~~A by disjunctive syllogism.
This proof is based on the inference rules you provided.
D Proof: Premises:
C ---> (~D ---> ~X)
The Modus Ponens Rule was used.
Finally, X /D
Explanation: Using Modus Ponens, we can conclude that D ---> X from premises 1 and 2.
Because premise 2 is true, we can conclude X via modus tollens.
We can conclude that D must be false because X is true.
Evidence for C:
Conditions: A ---> B B
Modus Tollens is the rule that was used.
Finally, C / A
Explanation: Using Modus Tollens, we can conclude from premises 1 and 2 that A.
Because A is false in premise 1, we can conclude that B is true.
Because premise 2 is true, we can conclude C using disjunctive syllogism.
Proof for ~~A:
Premises:
A ---> ~D
~D ---> (~B v ~~A)
A
B
Rule used: Modus Ponens
Conclusion:
~~A /B
Explanation:
From premise 1 and 3, using Modus Ponens, we can conclude that ~D.
From premise 2 and ~D, using Modus Ponens, we can conclude that ~B v ~~A.
From premise 4, B is true, so we can conclude ~~A by disjunctive syllogism.
To learn more about syllogism.
https://brainly.com/question/21635821
#SPJ4
What is the answer to this?
Answers
Answer:
B
Step-by-step explanation:
x + 3y = 2 → (1)
4x - 3y = 23 → (2)
adding (1) and (2) term by term will eliminate y
(x + 4x) + (3y - 3y) = 2 + 23
5x + 0 = 25
5x = 25 ( divide both sides by 5 )
x = 5
Find the indicated area under the standard normal curve.
The total area to the left of z= - 1.18 and to the right of z= 1.18 under the standard normal curve is ___.
Answers
Answer:
0.1190
Step-by-step explanation:
If z = -1.18, the total area to the left under the standard normal curve is taken from the z-distribution table attached;
P(z < - 1.18) = 0.1190
Also, to the right of z = 1.18, we have;
P(z > 1.18) = 1 - P(z < 1.18)
From the second image attached from z-table, we have;
P(z > 1.18) = 1 - 0.8810
P(z > 1.18) = 0.1190
Thus, the total area to the left of z= - 1.18 and to the right of z= 1.18 under the standard normal curve is 0.1190
Help me please dude HAHA AA
A
A
A
A
A
A
A
A
A
A
A
A
APLEASE
Answers
Answer:
72
Step-by-step explanation:
no
12x+6x^2(3x-2)-8x^2-7x
Answers
Answer:
x⋅(2x+1)⋅(2x+3)⋅(3x−2)
Step-by-step explanation:
Equation at the end of step 1
(((12•(x4))+(16•(x3)))-7x2)-6x
STEP
2
:
Equation at the end of step
2
:
(((12 • (x4)) + 24x3) - 7x2) - 6x
STEP
3
:
Equation at the end of step
3
:
(((22•3x4) + 24x3) - 7x2) - 6x
STEP
4
:
STEP
5
:
Pulling out like terms
5.1 Pull out like factors :
12x4 + 16x3 - 7x2 - 6x =
x • (12x3 + 16x2 - 7x - 6)
Checking for a perfect cube :
5.2 12x3 + 16x2 - 7x - 6 is not a perfect cube
What is the constant proportion of y=2.9x
Answers
Answer:
y=2.9
Step-by-step explanation:
The constant proportion of y = 2.9x is 2.9.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 9 is an equation.
We have,
y = 2.9x
This can be written as,
y ∝ x
y = kx
Where k is the constant of proportionality.
Now,
Comparing y = kx and y = 2.9x
k = 2.9
Thus,
The constant proportion is 2.9.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
Write the five-number summary of the following set of data: 5, 7, 8, 10, 10, 11, 13, 15, 16, 20?
Maximum
________________
Q1 (1st Quartile):???
Q2 (Median): ????
Q3 (3rd Quartile):????
What is the Maximum:???
Answers
Answer: Q1 10 Q216 Q3 8
Step-by-step explanation:
BECAUSE I THIK THAT IS THE ANSWER
The perimeter is 54 m. The apothem is \root(3)(3) . To the nearest tenth, what is the area of this regular polygon?
Answers
The area of this regular polygon is 46.8 square units
How to determine the area of this regular polygon?The given parameters are:
Perimeter, p = 54 m
Apothem, a = √3
The area of this regular polygon is then calculated as:
Area = 0.5 * Apothem * Perimeter
Substitute the known values in the above equation
Area = 0.5 * √3 * 54
Evaluate the product
Area = 46.8
Hence, the area of this regular polygon is 46.8 square units
Read more about area at:
https://brainly.com/question/14137384
#SPJ1
Michael was working on finding the better buy for granola bars: 8 bars for $10 or 20 bars for $23. Which is the better buy if you were buying 40 bars?
Answers
Answer:
20 bars for $23
Step-by-step explanation:
8 bars for $10 you have to multiply 8 by 5 to get 40 so multiply $10 by 5 and you get $50
20 bars for $23 you have to multiply 20 by 2 and you get 40, so multiply $23 by 2 and you get $46 dollars there for 20 for $23 dollars is the better buy
:)
If a student averages 95 on his first 7 tests of the year and 96 on his first 6 tests of the
year, what score did he get on the seventh test?.......
Answers
Answer: 97
Step-by-step explanation:
If a student averages 95 on his first 7 tests of the year
and 96 on his first 6 tests of the
every year there is one point added two the mix so the answer would be 97 on his seventh test
A department store buys 200 shirts at a cost of $3,600 and sells them at a selling price of $20 each. Find the percent markup. The percent markup is %. (Round to the nearest whole number as needed.)
Answers
First, find the cost of the shirts by dividing the total cost by the total amount of shirts:
\(\frac{3600}{200}=18\)Since each shirt costs $18 and the selling price is $20, divide 20 by 18 and multiply by 100 to find the percent markup:
\(\frac{20}{18}\cdot100=111.11\)Since the store sells the shirts with an increase of 11.11%, then the percent markup is 11.11%.
. The table below shows the cost of making a long distance call based on the length of the call. Long Distance Rates Time (minutes) Cost 5 $0.55 6 $0.62 7 $0.69 8 $0.76 9 $0.83 10 $0.90 Refer to the above table of long distance rates. Write an expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes.
Answers
An expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes is (0.55 + (n - 5) x 0.07) dollars.
Given:
Long Distance Rates Time (minutes) Cost5 $0.556 $0.627 $0.698 $0.769 $0.8310 $0.90We need to find an expression that can be used to find the cost of an n-minute long-distance call, where n is at least 5 minutes.
The cost of making a long-distance call is given for 5 minutes, 6 minutes, 7 minutes, 8 minutes, 9 minutes, and 10 minutes.
We can observe from the above table that for every increase of 1 minute, the cost increases by $0.07.
We can conclude that the cost of n minutes long-distance call is given by: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes.
Therefore, the required expression is: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes. The above expression is based on the pattern in the table provided for long-distance call rates. We can use this expression for values of n greater than or equal to 5.
For more such questions on expression, click on:
https://brainly.com/question/723406
#SPJ8
A triangle has a perimeter of 13. If it has
sides of x/2,( x – 5), and (x - 2) lengths,
then:
a) find the value of x
b)find the length of the longest side
find the value of x.
find length of the longest side.
Answers
Step-by-step explanation:
perimeter=s+s+s
p=x/2+x-5+x-2
13=x/2+x-5+x-2
26=x+x+x-10-4
26=3x-14
26+14=3x
3x/3=40/3
x=13.3cm
b.
x/2=6.65
x-5=8.3
x-2=11.3
longest side=11.3cm
Nathaniel would like to establish a trust fund that will provide R380 000 a year, forever, for his descendants. The trust fund will be invested very conservatively, so the expected rate of return is only 6,45%. How much money must he deposit today, to fund this gift for his descendants?
Answers
Answer:
Step-by-step explanation:
To calculate the amount of money Nathaniel needs to deposit today to fund this gift for his descendants, we can use the present value formula for a perpetuity:
Present Value = Annual Payment / Discount Rate
In this case, the annual payment is R380 000 and the discount rate (expected rate of return) is 6.45% in decimals, or 0.0645 as a fraction. So we can plug these values into the formula:
Present Value = R380 000 / 0.0645
This gives us a present value of approximately R5,899,225.68. Therefore, Nathaniel would need to deposit R5,899,225.68 today into the trust fund to provide R380 000 a year forever for his descendants, assuming a 6.45% expected rate of return.
Carlos find the absolute value of -5.3 and then if I the opposite of an answer. Jason find the opposite of -5.3 and then find the absolute value of his answer. Who’s final value is greater? Explain.
Answers
The person who has a greater number will be Carlos since 5.3 is more than -5.3.
How to illustrate the information?It should be noted that Carlos find the absolute value of -5.3. This will be - (-5.3) = 5.3.
On the other hand, Jason find the opposite of -5.3 and then find the absolute value of his answer. This will still be -5.4
Therefore, the person who has a greater number will be Carlos.
Learn more about numbers on:
brainly.com/question/25734188
#SPJ1
31-+=16
28+b=50
33+c=54
52-n+=24
Answers
The solution to the equations are b = 15, b = 22, c = 21 and n = 28
How to determine the solution to the equationsFrom the question, we have the following equations that can be used in our computation:
31 - b = 16
28 + b = 50
33 + c = 54
52 - n = 24
Next, we collect the like terms in each of the equation
This gives
b = 31 - 16
b = 50 - 28
c = 54 - 33
n = 52 - 24
Lastly, we evaluate the like terms
b = 15
b = 22
c = 21
n = 28
The above are the solutions to the equations
Read more about equations at
https://brainly.com/question/148035
#SPJ1
Question
Solve the following equations:
31 - b = 16
28 + b = 50
33 + c = 54
52 - n = 24
Factor the trinomial
3n²-8n+4
Answers
Answer:
(3n-2)(n-2)
Step-by-step explanation:
What is the solution to the equation?
−24x=−3
Enter your answer in the box.
x =?????????? 10 points!!!!11
Answers
through my calculations x=8
Answer:
x=⅛ 1 over 8
Step-by-step explanation:
negative 24 divide by negative 3 gives as 1 over 8
Work out the value of
6.105 x 10
3.7 x 10
Give your answer in standard form.
Answers
Answer:
165000
Step-by-step explanation:
1,6×
\( {10}^{5} \)
165000
Answer:
165000=1.65 x 10^5
Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of y plus StartFraction one-half EndFraction equals 3 left-parenthesis x minus 2 right-parenthesis.?
y + 2 =y plus 2 equals StartFraction one-third EndFraction left-parenthesis x plus 3 right-parenthesis.(x + 3)
y – 2 = y minus 2 equals StartFraction one-third EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
y + 3 = y plus 3 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2)
y – 3 = y plus StartFraction one-half EndFraction equals 2 left-parenthesis x minus 3 right-parenthesis.(x – 2)
Answers
The equation that shows the point-slope form of the line passing through (3, 2) with a slope of (1/2) is:
y - 2 = (1/2)(x - 3)
In the point-slope form of a linear equation, the formula is y - y1 = m(x - x1), where (x1, y1) represents a point on the line, and m represents the slope of the line. By substituting the given values into the formula, we can determine the correct equation.
In this case, the given point is (3, 2) and the slope is (1/2). Plugging these values into the formula, we get:
y - 2 = (1/2)(x - 3)
This equation represents the line passing through the point (3, 2) with a slope of (1/2). It is in the point-slope form, which allows us to easily determine the equation of a line based on a given point and slope.
Therefore, the correct equation is y - 2 = (1/2)(x - 3).
For more such answers on Point slope
https://brainly.com/question/29797287
#SPJ8
Answer: B
Step-by-step explanation:
A rectangle is 14 cm wide and 32 cm long. A proportional rectangle is 35 cm wide.
Find the length of this rectangle.
Answers
So, to find the length of the other rectangle, you multiply the scale factor (2.5) with 32cm long.
The length of the rectangle is 80 cm long.
need help asap due tonight
Answers
The required area of rectangle ABCD is 21 square units.
To find the area of a rectangle, we need to multiply its length by its width.
The length of the rectangle is the distance between points C and D, which is 5 - (-2) = 7 units.
The width of the rectangle is the distance between points A and D, which is 3 - 6 = -3 units. However, since we are calculating the area, we need to use the absolute value of the width, which is 3 units.
Therefore, the area of rectangle ABCD is:
Area = length x width
Area = 7 units x 3 units
Area = 21 square units
So the area of rectangle ABCD is 21 square units.
Learn more about the area of a rectangle here:
https://brainly.com/question/8663941
#SPJ1