Answer: B
Step-by-step explanation:
Brenda makes $95,000 per year.
a. How much does Brenda have taken off in federal tax?
b. How much does Brenda have taken off in NWT tax?
c. What percent of taxes does Brenda have taken off her cheque? Round to the
nearest decimal place.
what r the tax amounts
What is the length of BC?
Answer:
d no 8 unit df parallel bc and 1by 2 bc
Find the value of x that solves the system shown below.
y = 5x
2x - y = 18
Answer:
hope my answer is helpful to you
plz mark me as brainlist and also follow me
Review the proof. Which step contains an error
Step 2
Step 4
Step 6
Step 8
Answer: step 4
Step-by-step explanation:
Error in the proof starts with the first mistake done. The erroneous step in the proof is given by: Option B: Step 6.
How does sign changing works?Sign changing in equation does by multiplying -1 on both the sides.
So, if we had [tex]a + b = c[/tex]
Then, its signs are changed as:
[tex]-1(a + b) = -1 \times c\\-a -b = -c[/tex]
For the given case, the mistake occurred during transition from step 5 to step 6. Step 6 is wrong as when sign was changed, sin of cos(θ) remain same, which makes step 5 and step 6 not equal to each other.
The correct proof would be like:
[tex]\rm \cos(2x) = 1- 2\sin^2(x)\\Let\: 2x = \theta\\\\Then: x = \dfrac{\theta}{2}\\\\\cos(\theta) = 1 - 2\sin^2(\dfrac{\theta}{2})\\-1 + \cos(\theta) = -2\sin^2(\dfrac{\theta}{2})\\\\1 - \cos(\theta) = 2\sin^2(\dfrac{\theta}{2})\\\\\dfrac{1-\cos(\theta)}{2} = \sin^2(\dfrac{\theta}{2})\\\\\sin(\theta) = \pm \sqrt{\dfrac{1-\cos(\theta)}{2} }[/tex]
Thus, the erroneous step in the proof is given by: Option B: Step 6.
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could you please show the work for both of them?
A radio station charges an initial fee for broadcasting advertisements plus a rate based on the length of the advertisement in seconds. The table below shows the total charges for advertisements of different lengths.
Which equation BEST represents the linear relationship between n, the length in seconds of an advertisement and c, the total charge of the advertisement?
a. c=3n+180
b. c=4n+120
c. c=2n+210
d. c=5n+150
p.s graph is attached
Answer:
It's a.
Step-by-step explanation:
15s*3+180＝225
30s*3+180＝270
60s*3+180＝360
30s*3+180＝270
−4=−(−k−86)+10
solve for k
Answer:
k=-100
Step-by-step explanation:
Hope this helped have an amazing day!
At a hardware store, a tool set normally cost $80. During a sale this week, the tool set costs $12 less than usual.
What percentage of the usual price is the saving? Explain or show your reasoning.
Answer:
15 % of usual price is a savings
Step-by-step explanation:
Given that tool set normally cost $80
During the sale this week the tools that cost $12 less than usual
To find: what percentage of the usual price is a savings
From given information,
Usual price of tool set = $ 80
Given that tools that cost $12 less than usual which means she saved $ 12
Savings = $ 12
To find what percentage of the usual price is a savings, we can solve by framing a expression,
Let "x" be the required percentage
Then x % of percentage is equal to savings price
x % of usual price = savings price
x % of 80 = 12
Therefore 15 % of usual price is a savings
Answer:
Answer is 15%
Step-by-step explanation:
You have to do a proportion
12. = x
80 100 and u have to cross multiply
80x = 1200
80. 80
then divide 1200÷80=15
Find the exact values of the following, giving your answers as fractions
Answer:
a)3^-2 = 1/3^2 =1/9
b)4^-3 = 1/4^3 = 1/64
c)2^-6 = 1/2^6 = 1/64
Use the graph to estimate the solutions to the quadratic system
Move each point to the table to show what quadrant it is in when plotted on a coordinate plane.
Quadrant 1
Quadrant II
Quadrant III
Quadrant IV
(6,-1)
(-3,4)
(2,4)
(-1,-5)
Answer:
quadrant 1 - (2,4)
quadrant 2 - (-3,4)
quadrant 3 - (-1, -5)
quadrant 4 - (6, -1)
Step-by-step explanation:
quadrant one consists of both x and y being positive.
quadrant two being the x is negative but the y is negative.
quadrant 3 has its x and y both negative.
finally, quadrant 4 has its x positive, but y is negative.
Order the set {-4 1/2 , 5.6, -2 3/8, and 1.35} from least to greatest. I already got my answer i just want to make sure since im studing for a test. Thank you!
Answer:
-4 1/2, -2 3/8, 1.35, 5.6Step-by-step explanation:
Imagine the numbers are plotted on the number line.
-4, -2, 1, 5 (ignoring the fraction part as the whole part is different for each number and it makes it easier to order properly)Order on the number line which is from least to greatest:
-4 1/2, -2 3/8, 1.35, 5.6Point B is in quadrant _____ And point D is in quadrant _____ (PLZ HELP ASAP!!!!!)
Answer:
point B is in quadrant I and point D is in quadrant II
Step-by-step explanation:
Meera paid $240 for 4 pairs of shoes and 4 pairs of
shorts. Each pair of shoes cost 4 times as much as a pair of
shorts. Find the difference in price between a pair of shoes
and a pair of shorts.
Answer:
Difference between the two is $36.
Step-by-step explanation:
Pair of shorts costs $12. Shirt costs $48.
48-12=36
Which phrases can be represented by the algebraic expression x + 14? Select three options.
the quotient of a number and 14
a number plus 14
fourteen less than a number
fourteen more than a number
a number increased by 14
Answe
number plus 14
fourteen more than a number
a number increased by 1
Step-by-step explanation:
Which phrases can be represented by the algebraic expression x + 14
Assuming the unknown number = x
Then,
a number plus 14
= x + 14
fourteen more than a number
= x + 14
a number increased by 14
= x + 14
Plus, more than and increased all means plus(+)
Answer:
number plus 14
fourteen more than a number
a number increased by 1
Step-by-step explanation:
what is a multiple? I forgot.
Answer:
A multiple is the product result of one number multiplied by another number.
Step-by-step explanation:
Multiples are what we get after multiplying the number by an integer (not a fraction).
Example:
3 × 4 = 12, so 3 and 4 are factors of 12.
Hope this helps!
have a great day/night :D
Please solve this
[tex] {2}^{2x + 2} + 8 = 33( {2}^{x} ) [/tex]
indicial equations
Answer:
[tex] {2}^{2x + 2} + 8 = 33( {2}^{x} ) \\ = > ( {2}^{2x} \times {2}^{2} ) + 8 = 33( {2}^{x} ) \\ let \: {2}^{x} be \: m \\ = > 4 {m}^{2} + 8 = 33m \\ = > 4 {m}^{2} - 33m + 8 = 0 \\ use \: quadratic \: equation \\ m = \frac{- b \frac{ + }{} \sqrt{( {b}^{2} - 4ac)} }{2a} [/tex]
An ice hockey team is considering changing their team name and mascot and would like to measure city support for the change. Which of the following methods would not provide a voluntary response sample?
Answer:
b
Step-by-step explanation:
because there only allowing the first 50 to register that would be a contest
The method which would not provide voluntary response is that at one of the team games, a person surveys the first 50 people who arrived at the game. Hence, option B is correct.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.
A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given information in the question,
An ice hockey team is changing their team name as well as the mascot and would like to measure city support for the change to the method which would not provide a voluntary response sample is that at one of the team games, a person surveys the first 50 people who arrived at the game.
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From the roof of a building, a ball is thrown into the air. The height of the ball, h, in
metres after t seconds is given byh = -t2 + 4t + 12.
a) What is the height of the building?
b) How long will it take for the ball to hit the ground?
c) What is the maximum height of the ball and when does it occur?
d) When will the ball have a height of exactly 7m above the ground?
Answer:
a) The height of the building is 12 metres.
b) The ball will take 6 seconds to hit the ground.
c) The maximum height of the ball is 16 metres and occurs 2 seconds after launch.
d) The ball have a height of 7 meters above the ground 5 seconds after launch.
Step-by-step explanation:
a) The roof of the building is represented by the initial height of the ball according to the function. If we know that [tex]t = 0\,s[/tex], the height of the building, measured in metres, is:
[tex]y = -(0\,s)^{2}+4\cdot (0\,s) + 12[/tex]
[tex]y = 12\,m[/tex]
The height of the building is 12 metres.
b) Let equalise the given polynomial and solve for [tex]t[/tex] to determine the time taken for the ball to hit the ground:
[tex]-t^{2}+4\cdot t +12 = 0[/tex] (1)
By the Quadratic Formula, we find the following solutions:
[tex]t_{1} = 6\,s[/tex] and [tex]t_{2} = -2\,s[/tex]
Since time is a positive variable, then the only solution that is physically reasonable is:
[tex]t = 6\,s[/tex]
The ball will take 6 seconds to hit the ground.
c) The maximum height of the ball occurs when speed is equal to zero. First, we differentiate the function and equalise to zero:
[tex]-2\cdot t + 4 = 0[/tex] (2)
[tex]t = 2\,s[/tex]
Lastly, we evaluate the function at given time:
[tex]y = -(2\,s)^{2}+4\cdot (2\,s)+12[/tex]
[tex]y = 16\,m[/tex]
The maximum height of the ball is 16 metres and occurs 2 seconds after launch.
d) We equalise the height formula to seven and solve the resulting polynomial:
[tex]-t^{2}+4\cdot t + 12 = 7[/tex]
[tex]-t^{2}+4\cdot t +5 = 0[/tex] (3)
By the Quadratic Formula, we get the following solutions:
[tex]t_{1} \approx 5\,s[/tex] and [tex]t_{2} \approx -1\,s[/tex]
The only solution that is physically reasonable is [tex]t = 5\,s[/tex].
The ball have a height of 7 meters above the ground 5 seconds after launch.
Multiply. Write your answer as a fraction in simplest form.
Step-by-step explanation:
(1x2+1) x -(6/15)
3/2 x -(6/15)
3/2 x -(2/5)
3/2 x (-2/5)
(-3/2)
Answer:
[tex]1 \frac{1}{2} \times ( - \frac{6}{15} ) = \frac{3}{2} \times ( \frac{ - 6}{15} ) \\ = \frac{ - 3}{5} [/tex]
-3/5 is the right answer.The numbers from 1 to 150, inclusive, are placed in a bag and a number is randomly selected from the bag. What is the probability it is not a perfect power (integers that can be expressed as $x^{y}$ where $x$ is an integer and $y$ is an integer greater than 1. For example, $2^{4}
Answer:
139/150
Step-by-step explanation:
Let's make a list of the perfect squares.
1 4 9 16 25 36 49 64 81 100 121 144
The probability that one of these is drawn is 12/150 = 4/50 = 2/25
Take out 1. So that means there are 11 perfect squares.
11/150 are your chances of getting a perfect square.
1 - 11/150 = 139/150 that you will not get a perfect square.
I would have included 1 in the perfect squares, but the question says not to so you can't.
If the question did not mean that 1 should be excluded, then the answer is 23/25
what are the intercepts of the equation
-2A+2y = -8
What should be done to both sides of the equation in order to solve n/4 = -12.4?
A. Multiply by 4.
B. Divide by 4.
C. Multiply by -12.4.
D. Divide by -12.4.
Answer:
I think is The little (D) -12.4.
Find the sum.
(5p+11) + (8p- 4)
A. 5p+7
B. 13p-7
C. 13p+7
D. 13p+15
AP3X
Answer:
[tex](5p + 11) + (8p - 4) \\ = ( 13p + 7)[/tex]
C. (13p+7) is the right answer.Ashad is rewriting the expression 28 a + 36 a b as a product. Which statements about the expression are accurate and relevant to his rewriting the expression? Select three options.
The GCF of the numbers in each term in the expression is 2.
The GCF of the numbers in each term in the expression is 4.
The GCF of the variables in each term in the expression is a.
The factored form of the expression is 2 a (14 a + 18 a b).
The factored form of the expression is 4 a (7 + 9 b).
Answer:
Step-by-step explanation:
(28a+36ab)
If a= -2 and b =3, what is the value of ( 2b-3a)/ab?
Answer:
-2
Step-by-step explanation:
Substitute in the values
(2(3)-3(-2))/(-2)(3)
multiply
(6+6)/(-6)
(the second 6 became positive because it is a negative 3 times negative 2.)
add
12/-6
divide
-2
Which are undefined?
sec(-pi/)
csc(3pi)
cot(7pi/2)
csc(-3pi/2)
cot(5pi/3)
Step-by-step explanation:
after you draw a unit circle you will find the answer
cosec(3pi)=1/sin(3pi)
sin3pi=sinpi=0
so cosec3pi=1/0 which is undefined.
The trigonometric functions [tex]csc(3\pi)[/tex] is undefined.
To understand more, check below explanation.
Trigonometric function:The value of given trigonometric function are show below,
[tex]sec(-\pi)=sec(\pi)=-1\\\\csc(3\pi)=\frac{1}{sin(3\pi)}=1/0 =\infty\\\\cot(\frac{7\pi}{2} )=\frac{1}{tan(\frac{7\pi}{2} )} =\frac{1}{\infty} =0\\\\csc(-\frac{3\pi}{2} )=1\\\\cot(\frac{5\pi}{3} )=\frac{1}{\sqrt{3} }[/tex]
Hence, the trigonometric functions [tex]csc(3\pi)[/tex] is undefined.
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If the diameter of the following circle is tripled, which of the following expressions could be used to find the area of the
new circle?
18 in
3254.34 in 2
31113.04 in
9(1017.36 in
9.254.34 in
Answer:
my answer is a bit different but kinda similar ig.
254.34in^2
Step-by-step explanation:
Radius = Diameter/2 18/2 = 9
Area of circle= pi(3.14) x r^2
A= (3.14) x 9^2
A= (3.14) x 81
A= 254.34in^2
Answer:
I can confirm that the answer is 3(254.34 in.2). I did it on Odyssey
Step-by-step explanation:
I have a hard time understanding this question
Answer:
22m+42 is the answer
Step-by-step explanation:
All you have to do is simplify and add the common factors.
the radius of a bubble increases by 4%. Calculate the percentage increase in its (a) surface area (b) volume (to three significant figures )
Answer:
Step-by-step explanation:
Given that the radius of a bubble increases by 4%.
Let r be the radius of the spherical bubble, so the new radius of the sphere
[tex]R= r+0.04r = 1.04r\cdots(i)[/tex]
(a) Surface area of the bobble,
[tex]s=4\pi r^2[/tex]
So, the rate of increase of surface area = [tex]4\pi R^2 -4\pi r^2= 4\pi(R^2-r^2)[/tex]
The percentage change in the surface area [tex]= \frac {4\pi(R^2-r^2)}{4\pi r^2}\times 100[/tex]
By using equation (i)
The percentage change in the surface area = [tex]\frac {(1.04r)^2-r^2}{ r^2}\times 100[/tex]
[tex]=(1.04^2-1)\times 100[/tex]
=8.160%
Therefore, the percentage change in the surface area is 8.160%
(b) The volume of the sphere = [tex]4/3 \pi r^3[/tex]
So, the change in the volume = [tex]4/3 \pi R^3-4/3 \pi r^3[/tex]
Percentage change in the volume =
[tex]\frac {4/3 \pi R^3-4/3 \pi r^3}{4/3 \pi r^3}\times 100[/tex]
[tex]=(1.04^3-1)100[/tex] [by using equation (i)]
=12.486%
Therefore, the percentage change in the volume is 12.486%.