Answer:
The algebraic expression is 0.90p
Step-by-step explanation:
The presentation of the algebraic expression is shown below:
Let us assume that the original price is p.
So,
The Orginal price is P
and the item would be less a 10% discount
So it could be written as 0.10p
Now the required expression could be written as
p - 0.10 p = 0.90p
Hence the algebraic expression is 0.90p
The same is to be considered
Name the coefficient, base and power for each
c) 21tr
Coefficient:
a) 4x3
b)-w5
base:
power:
Playing golf, Mike got a + 2on the first hole and - 2 on the second hole. What is his combined score for the first two holes?
Answer:
0
Step-by-step explanation:
he had a score of 2 on the first hole and then he go a birdie i think and it subtracted 2 from that leaving 0
Which set of steps can be used to prove the sine sum identity, sin(x + y) = sin(x)cos(y) + cos(x)sin(y)? Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (StartFraction pi over 2 EndFraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y). Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (StartFraction pi over 2 EndFraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = sin(y) and cos(–y) = –cos(y). Use the supplementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (StartFraction pi over 2 EndFraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y). Use the supplementary relationship between sine and cosine to rewrite sin(x + y) as
Answer:
A. Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (StartFraction pi over 2 EndFraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y).
Step-by-step explanation:
edge
The supplementary relationship between sine and cosine
to write sin(x + y) is sin x cos y + cos x sin y. and correct steps are
Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (Start Fraction pi over 2 End Fraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y).
What is trigonometric equation?Trigonometric equation is an equation involving one or more trigonometric ratios of unknown angles. It is expressed as ratios of sine(sin), cosine(cos), tangent(tan), cotangent(cot), secant(sec), cosecant(cosec) angles. For example, cos2 x + 5 sin x = 0 is a trigonometric equation.
What is Sin(a + b) Identity in Trigonometry?
Sin(a + b) is the trigonometry identity for compound angles. It is applied when the angle for which the value of the sine function is to be calculated is given in the form of the sum of angles. The angle (a + b) represents the compound angle.
sin (a + b) = sin a cos b + cos a sin b
According to the question
sin(x+y)
= cos ([tex]\frac{\pi }{2} - (x+y)[/tex])
Now as (cos (x-y) = cosx cosy - sinx siny )
= Cos ([tex]\frac{\pi }{2}-x[/tex])cos(-y) - sin([tex]\frac{\pi }{2}-x[/tex])sin(-y)
By using identity sin(–y) = –sin(y) and cos(–y) = cos(y)
= Cos ([tex]\frac{\pi }{2}-x[/tex])cos(-y) - sin([tex]\frac{\pi }{2}-x[/tex])sin(-y)
= sin x cos y - cos x sin(-y)
= sin x cos y + cos x sin y
Hence, the supplementary relationship between sine and cosine
to write sin(x + y) is sin x cos y + cos x sin y. and correct steps are
Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (Start Fraction pi over 2 End Fraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y).
To know more about trigonometric equation and Sin(a + b) Identity here:
https://brainly.com/question/11919000
#SPJ3
what is LCM and WHAT is LCD?
Sharel decided to buy a charm bracelet for her mother. She buys 10 charms for the bracelet. How many arrangements of charms are there?
Answer:
3,628,800 arrangements
Step-by-step explanation:
Permutation has to do with arrangement.
The number of ways to arrange n objects is expressed as:
n! = n(n-1)(n-2).... (n-r)!
If Sharel buys 10 charms for the bracelet, the number of ways the charms can be arranged is 10! ways
10! = 10*9*8*7*6*5*4*3*2*1
10! = 720*840*6
10! = 3,628,800 arrangements
Hence there are 3,628,800 arrangements of charms
13. Find the slope of the line that contains (3, 1) and (1, 1).
Answer:
slope would be zero
Step-by-step explanation:
It is not moving on the graph
Hope this helps!
What are the values of x and y if this equation is true? 22(x+yi)+(28+4i)+72-62i
Answer: x=2 and y=-3
Step-by-step explanation: you’re welcome
Suppose the average yearly salary of an individual whose final degree is a master's is $(blank) thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $(blank) thousand. Find the average yearly salary of an individual with each of these final degrees.
Complete question :
Suppose the average yearly salary of an individual whose final degree is a master's is $41 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $118 thousand. Find the average yearly salary of an individual with each of these final degrees.
Answer:
Bachelors = $53000
Masters = $65000
Step-by-step explanation:
Given that :
Let Salary of bachelor's degree holder = b
Salary of Master's degree holder = 2b - 41000
Master's + bachelor's salary = $118,000
Hence,
2b - 41000 + b = 118,000
3b = 118000 + 41000
3b = 159000
b = 159000 / 3
b = $53,000
Bachelor's degree salary = $53,000
Master's degree salary ; 2b - 41000
2(53000) - 41000 = 65000
Susan has two pieces of ribbon, one 18 inches long and the other 12 inches long. To decorate an album, she wants to cut them up to produce many pieces of ribbon that are all of the same length, with no ribbon left over. What is the greatest length, in inches, that she can make them? PLEASE HURRY IM TAKING A TIMED TEST!!
Answer:
I'm pretty sure its 12 inches
Step-by-step explanation:
Alex brought in 6 bottles of apple juice to share with himself and 3 friends at lunch. There are 3.5 liters of juice in each bottle.
If they combine all of the juice together, how much apple juice does each person get to drink?
If they share the apple juice equally among the 4 of them, how much apple juice does each person get to drink?
Answer:
5.25 litres.
Step-by-step explanation:
6 bottles * 3.5 litres = 21 litres of juice total.
21 / 4 = 5.25 litres per person.
find the slope and y-intercept of the line
y = -4x-5
Answer:
The slope is -4
The y-int is -5
Step-by-step explanation:
The slope intercept form is structured as:
y= mx + b
Being m is the slope and b is the y-intercept.
can someone plaese help me
Need help with 7+2=16-?
Answer:
no 7+2 is 9 so yeah ;)))))))))))))))
y=1.1x + 7 In the above equation, what would changing the 7 into a 3 do?
Answer: The y intercept would be different
Step-by-step explanation:
A family of four bought a vacafion
package for $4,000. If the tax rate
is 10% how much will they payin
faxes?
Find the value of x.
Please help!!
Answer:
5
Step-by-step explanation:
Use the Exterior Angle Theorem.
The E.A.T states that the measurement of an exterior angle is found by adding the two opposite and non-adjacent interior angles.
In this case, the Exterior Angle is 121. The sum can be found by combining 17x - 4 and 8x. Set the equation:
17x - 4 + 8x = 121
First, combine like terms:
17x + 8x - 4 = 121
(17x + 8x) - 4 = 121
(25x) - 4 = 121
Next, Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 4 to both sides of the equation:
25x - 4 (+4) = 121 (+4)
25x = 121 + 4
25x = 125
Next, divide 25 from both sides:
(25x)/25 = (125)/25
x = 125/25
x = 5
5 is your value for x.
~
When graphed on a number line, which of the following numbers would be farthest away from zero?
help help help help help
coefficient of x²and x in 3x-2x+1
If it is ....
[tex]3 {x}^{2} - 2x + 1 = [/tex]
The coefficient of x² is (( 3 ))
& the coefficient of x is (( -2 ))
_________________________________
If it is .....
[tex]3x - 2x + 1[/tex]
[tex]x + 1[/tex]
The coefficient of x² is (( zero 0 ))
& the coefficient of x is (( 1 ))
what is the additive inverse of 5? im confused on this one
Question 1. Write a function called simulate that generates exactly one simulated value of your test statistic under the null hypothesis. It should take no arguments and simulate 50 area codes under the assumption that the result of each area is sampled from the range 200-999 inclusive with equal probability. Your function should return the number of times you saw the 781 area code in those 50 random spam calls.
Answer:
The function written in python is as follows:
import random
def simulate():
count = 0
for i in range(1,51):
num = random.randint(200,1000)
if num == 781:
count = count + 1
print(count)
Step-by-step explanation:
This line imports the random library
import random
This line defines the function
def simulate():
This line initializes count to 0
count = 0
This line iterates from 1 to 50
for i in range(1,51):
This line generates random number between 200 and 999
num = random.randint(200,1000)
This line checks if random number is 781
if num == 781:
If yes, the count variable is incremented by 1
count = count + 1
This line prints the number of times 781 is generated
print(count)
Simplify 2^4x2^3/2^5x2^4
Answer: 2^6
Step-by-step explanation: 2^4 x 2^3 is simplified to 2^7, 2^7/2^5 is 2^2, 2^2 x 2^4 is simplified to 2^6
You lose one quarter, two dimes and two nickels. Write this amount as a decimal
Answer: -0.55
Step-by-step explanation: We can assume we start off with 0$ of money, so if you lose 1 quarter, 2 dimes, and 2 nickels you would be 55 cents in debt, so 55 cents in debt would be -0.55. -25-20-10=-55.
Unless you are looking for the amount of money not counting whether or not you are in debt so that would just be 0.55.
I need to do this assignment but I need help on how to draw it and answer the questions because I am confused on how to do these things. Thank you
1) The domain is [0,300]. The range is [0,250]
2) The slope for the initial climb is 3.57. The equation of the line is
3) The rate of change of the second hill is -1.4
4) The rate of change of the third hill is -2.1
5) The blue hill is steeper
6) It is not a function
Step-by-step explanation:
1)
The domain of a function is the set of values of x (the input) for which the function itself is defined.
Instead, the range of a function is the set of values of y (the output) that the function can take.
To find the domain, we have to look at the x-axis and see for which values of x the function is defined. By looking at the graph, we see that the function is defined between
x = 0 and x = 300
So, the domain is [0,300].
To find the range, we have to look at the y-axis and see for which values of y the function has an output. By looking at the graph, we see that the function has values of y between
y = 0 and x = 250
So, the range is [0,250].
2)
The slope of a function in a certain range is given by
where
is the change in the y-coordinate
is the change in the x-coordinate
For the initial climb (pink line), we have:
Therefore, the slope in this part is
We can now write the equation of the line in the form
y = mx + b
where b is the y-intercept: since it is zero, the line has simply the form
3)
Again, to calculate the slope of the hill, we use:
where
is the change in the y-coordinate
is the change in the x-coordinate
For the green hill, we have:
So the rate of change is
4)
As before, the rate of change of the hill is
For the blue hill, we have:
So the rate of change is
5)
To know which hill is steeper, we need to compare the magnitude of their rate of change.
In fact, both hills have rate of change negative - because we are going down along the slope. Therefore, we have to consider the magnitude of their slope.
For the green hill:
For the blue hill:
We see that the blue hill has a greater slope (in magnitude): therefore, the blue hill is steeper.
6)
A function is defined as a mapping (operation between two sets of variables) in which to one value of x (the input) corresponds one and only one value of y (the output).
This means that a function cannot have multiple values of y for the same x (the input).
By looking at the graph, we see that this function does not respect this criterium: in fact, we see that certain values of x give multiple values of the output, y (for instance, at x=300 the function has two values). So, this is not a function.
Which one doesn't belong? Give me two reasons why. There are no wrong answers. please answer. Picture posted
5/4; it is an inproper fraction in a group of proper ones. it also doesnt have a 2 anywhere.
20/25; it is the only one that isnt simplified. it also has double didgits in both the numerator and denominator
Becky needs a $5,000 loan in order to buy a boat. Which loan option would allow her to pay the LEAST amount of interest?
A)
A 24-month loan with a 6.25% annual simple interest rate.
B)
A 30-month loan with a 5.75% annual simple interest rate.
0)
A 36-month loan with a 4.00% annual simple interest rate.
D)
A 42-month loan with a 3.75% annual simple interest rate.
Answer:b
Step-by-step explanation:
ryan is performing data entry for an insurance company by taking handwritten records and entering them into the database. Thus far, 15.6% of the handwritten records have had missing data that prevented them from being entered into the database. If Bryan takes 10 handwritten records, what is the probability that at most three records will be incomplete? Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.
Answer:
Probability = 0.943
Step-by-step explanation:
15.6% = 0.156(probability of handwritten records with missing data)
X = random variable denoting number of handwritten records whose data are missing
Values of x = 0,1...10
Using the binomial distribution
X~binomial (10,0.156)
P(x<=3)
P(x= 0)+p(x=1)+...+p(x=3)
10C0(0.156)⁰(1-0.156)¹⁰+10C1(0.156)¹(1-0.156)⁹+10C2(0.156)²(1-0.156)⁸+10C3(0.156)³(1-0.156)⁷
This gives a probability of 0.943.
PLEASE HELP
ILL GIVE BRAINLIEST
Answer:
f(7x−1)=63x−16
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
since f(x) and g(x) are equal, we can make the equation, 9x-7 = 7x - 1
9x = 7x + 6, 2x = 6, x = 3
Tessa measured an apartment and made a scale drawing. She used the scale 7 millimeters = 3 meters. What is the scale factor of the drawing? Simplify your answer and write it as a ratio, using a colon.
Answer:
7mm : 3000 mm ; 1 : 428 4/7
Step-by-step explanation:
Given that :
Given a drawing produced using a scale :
7 millimeters = 3 meters ; the scale factor for the drawing
Comparing units in millimeter and units on meter
1000 mm = 1 meter
Hence,
3000 mm = 3 meter
Then, we can say;
7 millimeters = 3000 millimeters
7mm : 3000 mm
Divide through by 7
1 : 428 4/7
Help me !!!
!!!
!!
!!
!!
Answer:
one hundred and sixty.Thank you ☺️
Answer:
One Hundred Sixty
Step-by-step explanation: