Answer: [tex]3x^2 + 2x -3[/tex]
Step-by-step explanation:
Remove parentheses.
[tex]3x^2 -2x + 4x -3[/tex]
Collect like terms.
[tex]3x^2 + (-2x + 4x ) -3[/tex]
Simplify.
[tex]3x^2 + 2x -3[/tex]
PLZ HELP I’M TIMED!! I’LL GIVE BRAINLIEST- FIND THE VALUE OF Y
Answer:
131
Step-by-step explanation:
25+24=49
180-49=131
prove that (tan²y) (cos²y) + 1/sec²y = 1
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
tan x = [tex]\frac{sinx}{cosx}[/tex] , sec x = [tex]\frac{1}{cosx}[/tex] , sin²x + cos²x = 1
Consider the left side
tan²y × cos²y + [tex]\frac{1}{sec^2y}[/tex]
= [tex]\frac{sin^2y}{cos^2y}[/tex] × cos²y + [tex]\frac{1}{\frac{1}{cos^2y} }[/tex] ← cancel cos²y in the product
= sin²y + cos²y
= 1
= right side ⇒ proven
Step-by-step explanation:
[tex] (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} = 1\\
LHS
= (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} \\\\
\frac{\sin^2y}{\cos^2y}\times \cos^2 y + \cos^2 y \\\\
= \sin^2y + \cos^2 y \\\\
= 1\\\\
= RHS\\\\
\purple {\boxed {\bold {\therefore (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} = 1}}} \\[/tex]
Hence Proved
336 students enrolled in a freshman-level chemistry class. By the end of the semester, 6 times the number students passed as Find the number of students who passed and the number who failed
y=6x+15 what is y, when x=5
Answer:
Answer:45
6 x 5+15=45
Step-by-step explanation:
Hope this helped!
Answer:
Look at explanation
Step-by-step explanation:
First, plug in x=5 into the equation y=6x+15 for x.
[tex]y=6(5)+15[/tex]
Solve.
[tex]y=6(5)+15\\=30+15\\=45\\y=45[/tex]
a boat travels 3600 meters in 12 minutes what is the boats speed
Answer:
300 meters per minute
Step-by-step explanation:
If the boat travels 3600 meters in 12 minutes, it travels 300 meters in 1 minute. Hope this helps!
What are Percentages that are Equal to 100%?
Answer:
just 100% because it is only that alone. You could have 1.0 as a decimal or 100/100 as a fraction, or 5/5, 18/18 and so on
Step-by-step explanation:
Answer:
100% is equal to 100%.
Step-by-step explanation:
Think about it in fractions, for a precentage to be 100% it need to be the same number of the top and bottom
20/20 = 100%
Convert: 15,940 feet = how many miles and feet
Answer:
3.02 miles
Step-by-step explanation:
Find the area of the trapezoid by decomposing it into other shapes.
A) 25 cm2
B) 27 cm2
C) 30 cm2
D) 35 cm2
Answer:
35 cm2
Step-by-step explanation:
Answer:
The area of the trapezoid would be 30 cm squared.
Step-by-step explanation:
Ms. Augustine is playing a game with her class. When a student tells her a number, she uses a rule to determine the new number. Ms. Augustine always uses the same rule. The table below shows some of the results.
What would the number be when the student says 8?
A. 58
B. 56
C. 54
D. 50
Answer:
When a student tells her a number, she uses a rule to determ
Step-by-step explanation:
Get the answers ... When a student tells her a number, she uses a rule to determine the new number. Ms. Augustine always uses the same rule. The table below shows some of the results. What would the number be when the student says 8? A. 58. B. 56. C. 54
Answer:
58
Step-by-step explanation:
Simplify x 2 − 4x + 4 x 2 − 4
Look at the attached picture
Hope it will be helpful to you..
5. The length of a rectangle is 5 inches greater than the width.
Question
Answer
a. Write an expression for the width of the rectangle.
b. Write an expression for the length of the rectangle.
multiply
Answer:
see below
Step-by-step explanation:
Let w = width
L = length = w+5
The area is l*w
A = (w+5)*w
A = w^2 +5w
Is the given sequence arithmetic? If so, identify the common
difference,
10, 20, 30, 40
Answer:
yes, 10
Step-by-step explanation:
Take the second term and subtract the first term
20-10 = 10
Take the third term and subtract the second term
30-20 = 10
Take the fourth term and subtract the third term
40-30 =10
Each time the difference is 10, so it is an arithmetic sequence
This is an arithmetic sequence and the common difference is 10
Find the equation (in terms of x) of the line through the points (-3,1) and (5,3)
Answer:
(y-3)=(1/4)(x-5) or (y-1)=(1/4)(x+3)
Step-by-step explanation:
point slope formula: (y-y1)=m(x-x1)
slope formula: (y2-y1)/(x2-x1)
slope = m
find the vertex of the parabola represented by the function f(x)= -2x^2
Which of the following equation have exactly one solution?
A) 58x + 52 = -78x - 78
B) 58x + 52 = 78x - 78
C) -78x + 52 = -52x - 78
D) 52x + 52 = 52x -78
Answer:
A, B, C all have one solution.
Step-by-step explanation:
1) Each equation in this question has one variable (x). This means that only one solution will be there.
2) Solve for x, you can cross out option D. When you subtract 52x from both sides, you're left with 52 = -78
Which is not true
3) Option A, if solved x = -65/68
4) Option B, x = 13/2
5) Option C, x = 5
All except D, have one solution, I don't know if it's a multiple choice answer but this is how I can help.
Answer:
The answer is A, B, and C.
Step-by-step explanation:
I got this answer on Khan Academy.
Hope this helps! :)
What does reflection mean?
Moving back and forth quickly
Speed of vibration
Bouncing light of a shining surface
Loudness or quietness
Step-by-step explanation:
Reflection mean bouncing light of a shining surface.
Can someone pls answer the question plss
Answer:
the first one
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The y axis or interval (0,Infinity) is forever going more lower and the x is forever going to the negatives
please help idk the right answer
Answer:
C
Step-by-step explanation:
if you add the value if f(x) to t
Please help me on number one I will mark you as the best answer
Answer:
-4n - 40 > -120
<=> -4n > -80
<=> 4n < 80
<=> n < 20
=> Option B is correct.
q/(-7) + 1 > 5
<=> q/(-7) > 4
<=> q < 4 x (-7)
<=> q < -28
=> Option C is correct.
Hope this helps!
:)
please help me with this
Answer:
D
Step-by-step explanation:
the answer should be D
Suppose you deposit $1500 in a savings account that pays interest at an annual rate of 6% if no money is added or withdrawn from the account answer the following questions how much will be in the account in four years how much will be in the account after 16 years how many years will it take for the account to contain $2000 How many years will it take for the account to contain $2500
Answer:
In 4 years = $1,893.72
In 16 years = $3,810.53
years to contain $2,000 = 4.9371454128
years to contain $2,500 = 8.766692911
Step-by-step explanation:
In 4 years
A = 1,500 (1 + 0.06)^4
= $1,893.72
In 16 years
A = 1,500 (1 + 0.06)^16
= $3, 810.53
to find number of years
t = ln (A/P) / ln (1+r)
when A = 2,000
t = ln(2,000/1,500) / ln(1+0.06)
= 4.9371454128 years
when A = 2,500
t = ln(2,500/1,500) / ln(1+0.06)
= 8.766692911 years
PS: You can also use log in place of ln
The number of years it will take for the account to contain $2000 is 4.94 years while it will take 8.77 years to contain $2500.
Calculation of future value and the number of years it takesLet:
PV = Present value = $1,500
r = Interest rate = 6%, or 0.06
n = number of years
FVn = Future value after a certain number of years
Therefore, we have:
The amount that will be in the account in four years can be calculated using the future value (FV) formula as follows:
FV4 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^4 = $1,893.72
Therefore, the amount that will be in the account in four years is $1,893.72.
The amount that will be in the account after 16 years can also be calculated using the future value (FV) formula as follows:
FV16 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^16 = $3,810.53
Therefore, the amount that will be in the account after 16 years is $3,810.53.
The number of years will it take for the account to contain $2000 can be calculated using the following formula:
n = (log(FV/PV)) / (log(1+r)) = (log($2,000/$1,500)) / (log(1+0.06)) = 0.1249387366083 / 0.0253058652647703 = 4.94 years
Therefore, the number of years it will take for the account to contain $2000 is 4.94 years.
The number of years it will take for the account to contain $2500 can be calculated using the following formula:
n = (log(FV/PV)) / (log(1+r)) = (log($2,500/$1,500)) / (log(1+0.06)) = 0.221848749616356 / 0.0253058652647703 = 8.77 years
Therefore, the number of years it will take for the account to contain $2000 is 8.77 years.
Learn more about future value here: https://brainly.com/question/13504821.
#SPJ2
A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, find the
probability that a blue marble will be drawn.
a. 1/3
b. 1/11
c. 1/7
d. 3/14
Answer:
The probability should be 3/14
Answer:
3/14
Step-by-step explanation:
If you want to find the probability of a blue marble being drawn, I would add up the total amount of marbles, which is 4+3+7=14. There are 3 blue marbles out of the 14 total marbles, and as a fraction, that would be 3/14.
Hope this helps!
How would you slice a right rectangular prism to create a pentagon?
A.
Slice the prism such that the plane cuts through all of the six faces.
B.
Slice the prism such that the plane cuts through three intersecting edges.
C.
Slice the prism such that the plane is perpendicular to the base.
D.
Slice the prism such that the plane cuts through five of the six faces.
Answer:
D.
Step-by-step explanation:
In the picture attached it can be seen that if the plane cuts a right rectangular prism through five of the six faces, a pentagon is created. The picture is just an example, any five faces are possible to create a pentagon
Find the value of x
146° (9x + 20)°
Answer:
x = 14
Step-by-step explanation:
146° = 9x + 20°
146° - 20° = 9x
126° = 9x
x = 126°/9
x = 14
Please help me with this problem.
Answer:
1
Step-by-step explanation:
What value cannot be determined from the box and whisker plot?
A. median
B. mean
C. range
D. interquartile range
Answer: The answer is B. Mean :)
V62 is between what pair of consecutive integers?
10 and 11
8 and 9
7 and 8
6 and 7
Answer:
7 & 8.
Step-by-step explanation:
√62 = 7.87400787401.
A map is drawn with a scale of 1 inch equal to 5 actual miles.
If the map distance between two cities is 8 inches, what is the real distance between these cities in miles?
A. 40 miles
B. 16 miles
C. 4 miles
D. 100 miles
E. 80 miles
Answer:
A. 40 Miles
Step-by-step explanation:
To find the answer I'd use a proportion. To do this you would set it up like this: [tex]\frac{1 inches}{5 miles} = \frac{8 inches}{x miles}[/tex]
Then you could either cross multiply or do it the way I'm going to explain. 1 time 8 equals 8, and when you multiply the top number you have to multiply the bottom number by the same number. So 5 time 8 equals 40. The real distance between the cities is 40 miles.
find the missing letter which is n.then find the perimeter. the width is 3ft and area is 33sq ft
Answer:
Perimeter = 28 ft
n = 11
Step-by-step explanation:
Area = length x width
33 = n * 3
n = 11 = length
then the perimeter is 2Length + 2Width
= 2*11 + 2*3 =
22 + 6 = 28
Answer:
Step-by-step explanation:
Area = 33 sq ft
length * width = 33
n * 3 = 33
Divide both sides by 3
n = 33/3
n = 11 ft
Perimeter = 2*(length + width)
= 2*(11 + 3)
= 2* 14
= 28 ft
PLEASE HELP ME I REALLY NEED IT
Answer:
x = 0
Step-by-step explanation:
when you plug in x as 0, you would have
0 + 3y = 12
0 = 8 - 2y
3y = 12
3y divided by 3 is y
12 divided by 3 is 4
y = 4
plug y in for the second equation
0 = 8 - 2(4)
0 = 8 - 8
this is why x = 0
hope that made sense, sorry if it didn't, i don't know how to explain it online
