no calculator needed! been stuck for a while. how do I solve this style of question?
Answers
Answer:
- [tex]\sqrt{3}[/tex] and 0
Step-by-step explanation:
tan(2x)
= tan(2 × [tex]\frac{\pi }{3}[/tex] ) = tan([tex]\frac{2\pi }{3}[/tex] ) = - tan([tex]\frac{\pi }{3}[/tex] ) = - [tex]\sqrt{3}[/tex]
cos(3x) = cos(3 × [tex]\frac{\pi }{6}[/tex] ) = cos([tex]\frac{\pi }{2}[/tex] ) = 0
Related Questions
Is (3,-3)(3,−3)left parenthesis, 3, comma, minus, 3, right parenthesis a solution of the graphed system of inequalities?
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
No.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
If we mark the point at (3, -3), the we can tell that the point does not lie in any shaded region. This means that it is NOT a solution to the system.See the graph attached.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
No, (3, -3) is not the solution to the graphed system of inequalities.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
From the graph,
The point of intersection is (2, 3).
This is the solution to the graphed system of inequalities.
But,
(3, -3) is given as the solution which is not true.
Thus,
(3, -3) is not the solution.
Learn more about inequalities here:
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traders fix the price of cosmetic items 30% above the cost price when he sold an item at 25% discount there was a loss of Rs 15 find the cost price and marked price of the item
Answers
Cost price is Rs600 and marked price is Rs780.
Must click thanks and mark brainliest
Find the slope and Y-Intercept of the line. 6X plus 2Y equals -88
Answers
Answer:
That’s ez pz
Step-by-step explanation:
Answer:
The slope is -3 and the y intercept is -44
Step-by-step explanation:
6X+ 2Y= -88
The slope intercept form of a line is y= mx+b where m is the slope and b is the y intercept
Solve for y
6X-6x+ 2Y= -88-6x
2y = -6x-88
Divide by 2
y = -3x -44
The slope is -3 and the y intercept is -44
HELP ASAP WILL MARK BRAINLIEST!!! Add or subtract. Write your answer in scientific notation. 4.2 x 10^6 − 1.2 x 10^5 − 2.5 x 10^5 3.3 x 10^9 + 2.6 x 10^9 + 7.7 x 10^8 8.0 x 10^4 − 3.4 x 10^4 − 1.2 x 10^3
Answers
Answer:
see below
Step-by-step explanation:
4.2 x 10^6 − 1.2 x 10^5 − 2.5 x 10^5
All exponent have to have the same number
42 x 10^5 − 1.2 x 10^5 − 2.5 x 10^5
Subtract the number
42 - 1.2 - 2.5 = 38.3
Add back the exponent
38.3 * 10 ^5
This is not in scientific notation
Move the decimal one place to the left and add one to the exponent
3.83 * 10^6
3.3 x 10^9 + 2.6 x 10^9 + 7.7 x 10^8
All exponent have to have the same number
3.3 x 10^9 + 2.6 x 10^9 + .77 x 10^9
Add the numbers
3.3+2.6+.77 =6.67
Add back the exponent
6.67*10^9
This is in scientific notation
8.0 x 10^4 − 3.4 x 10^4 − 1.2 x 10^3
All exponent have to have the same number
8.0 x 10^4 − 3.4 x 10^4 − .12 x 10^4
Subtract
8.0 - 3.4 - .12 = 4.48
Add back the exponent
4.48* 10^4
This is in scientific notation
Determine the interval(s) on which the given function is decreasing.
Polynomial going up from the left and passing through the point negative 1 comma 0 and going to a relative maximum at the point 0 comma 5 and then going down to a relative minimum at the point 1 comma 4 and then going up to the right
Answer Choices:
(–∞, –1) ∪ (1, ∞)
(–1, ∞)
(–∞, 0) ∪ (1, ∞)
(0, 1)
Answers
Analyzing the text, we find that the function is decreasing over the following intervals: (0, 1)
-------------------------
Polynomial going up from the left and passing through the point (-1,0), going to a relative maximum at the (0,5) and then going down to a relative minimum at the point (1,4).Going from maximum to minimum, meaning that between them the function decreases, thus, the first interval it is decreasing is between (0,1).
Going up to the right:Going up, increases.
-------------------------
Thus, the function decreases over the following interval: (0, 1)
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Samantha’s college runs on a trimester schedule so she receives a bill 3 times a year for tuition. Each trimester costs $1,450, and Samantha must complete 2 years of college to receive her degree. The average cost for books each trimester is $350. Approximately what will be the total cost for Samantha to get her degree?
Answers
Answer:
10800
Step-by-step explanation:
1 trimesters cost = 1450 + 350 $
2 year -> 6 trimester
1800$ x 6 = 10800 $
PLEASE ELP ME ITS URGENT!!! 25 POINTS!!!!!
Write 2.4 × 1012 in standard notation.
Answers
Answer:
2,400,000,000,000
Step-by-step explanation:
2.4 x 10^12 means that the decimal point is moved 12 places to the right (hence the power of 12)
So by moving the decimal point 12 times you get this: 2,400,000,000,000
The reason why there are only 11 zeroes is because the 4 was a decimal place to the right of 2, thus losing a zero.
Monica took a survey of her classmates' hair and eye color. The results are in the table below.
What is the conditional relative frequency that a participant has red hair, given that he/she has green eyes.
0.5
0.13
5
0.38
Answers
Answer:
let R represent red hair
let G represent green eyes
from Baye's theorem:
[tex]P( \frac{R}{G} ) = \frac{P(RnG)}{P(G)} [/tex]
P(RnG) = 5
[tex]P(G) = { \sum}(green \: hair) \\ = (3 + 5 + 5) \\ = 13[/tex]
Therefore:
[tex]P( \frac{R}{G} ) = \frac{5}{13} \\ = 0.385[/tex]
The conditional relative frequency = 0.385
The conditional relative frequency will be 0.385
What is Baye's theorem?It is a theorem showing how to compute the conditional probability of each of a set of possible causes for a given observed outcome using knowledge about the probability of each cause and the conditional probability of each cause's outcome.
let R represent red hair
let G represent green eyes
from Baye's theorem:
[tex]P=\dfrac{R}{G}=\dfrac{P(R\cap G)}{P(G)}[/tex]
P(RnG) = 5
P(G) = ∑(Green hairs)
P(G)= 13+5+5 = 13
Therefore:
[tex]P(\dfrac{R}{G})= \dfrac{5}{13}=0.385[/tex]
The conditional relative frequency = 0.385
Hence the conditional relative frequency will be 0.385
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For each function, determine if it intersects or is parallel to the line y = -1.5x. If it
intersects the line, find the intersection point.
y =0.5x +4
PLEASE ANSWER I HAVE 25 MINUTES LEFT PLEASE
Answers
Answer:
Intersects; intersection point: (-2,3)
Step-by-step explanation:
Substitute -1.5x for y into y=0.5x+4:
-1.5x = 0.5x +4
-1.5x - 4 = 0.5x
-4 = 2x
x = -2
Plug in -2 for x into y=-1.5x
y = -1.5(-2)
y = 3
Organize the x and y values into an ordered pair:
(-2,3)
Answer:
y=0.5x+4 intersects y=-1.5x.
The intersection point is (-2,3)
Step-by-step explanation:
First, note that if two lines are not parallel, then they must intersect eventually in one way or another. Note that since these are two lines, they will only have one intersection points.
So we have the equation:
[tex]y=-1.5x[/tex]
Parallel lines have the same slope. Therefore, a line parallel to this line also has a slope of -1.5
The equation given to us is:
[tex]y=0.5x+4[/tex]
As we can see, this does not have a slope of -1.5. Therefore, the given equation is not parallel to y=-1.5x. However, this does mean that it will intersect y=-1.5x.
To find the x-value of their intersection, simply set the equations equal to each other and solve for x.
[tex]-1.5x=0.5x+4\\-2x=4\\x=-2[/tex]
Now, plug -4 into either of the equations:
[tex]y=-1.5(-2)=3\\y=0.5(-2)+4=-1+4=3[/tex]
Therefore, the point of intersection is (2,3).
Diana made a recipe that yields 6 and 1 over 2 cups. If each serving is 1 over 4 cup, which expression will help Diana determine the number of servings her recipe will yield? 6 and 1 over 2 ⋅ 1 over 4 6 and 1 over 2 ÷ 1 over 4 6 and 1 over 2 + 1 over 4 6 and 1 over 2 − 1 over 4
Answers
Answer:
6 1/2 divided by 1/417. what is the equation of the line with…
Answers
Answer:
[tex]y=\displaystyle \frac{1}{2}x+1[/tex]
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.
We're given the x-intercept, -2, and the y-intercept, 1. We can directly plug the y-intercept into the equation [tex]y=mx+b[/tex] :
[tex]y=mx+1[/tex]
Now, we must solve for the slope. The x-intercept -2 gives us the point (-2,0), since the x-intercept occurs when y=0. Plug this point into the equation and solve for m:
[tex]0=m(-2)+1\\0=-2m+1\\-1=-2m\\\\\displaystyle m=\frac{-1}{-2} \\\\\displaystyle m=\frac{1}{2}[/tex]
Therefore, the slope of the line is [tex]\displaystyle \frac{1}{2}[/tex]. Plug this back into [tex]y=mx+1[/tex]:
[tex]y=\displaystyle \frac{1}{2}x+1[/tex]
I hope this helps!
Estimate. Then determine the area. Please please please, need help!
Answers
Estimate:
2.3 rounds down to 2
So after multiplying by 2, the area is estimated to be 4 cm squared.
Actual Area:
2.3 x 2 = 4.6
The actual area of the shape is 4.6 cm squared.
Hope this helped!
Answer:
4.6
Step-by-step explanation:
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
Answers
Answer:
I have to agree
it's A.
but I'm also thinking it's D.
Please Help. Will Mark Brainliest Answer. A container of juice is taken from the refrigerator and poured into a pitcher. The temperature of the juice will warm to room temperature over time. The temperature of the juice can be modeled by the following function: f(t)=72−32(2.718)−0.06t, where t is measured in minutes after the juice is taken out of the refrigerator. Use the drop-down menus to complete the explanation of how the function models the juice warming over time. Dropdown possible answers: When t = 0, the temperature of the juice is -0.06, 0, 2.718, 32, 40, 72 degrees. As time increases, -32(2.718)^-0.06t gets close and closer to -0.06, 0, 2.718, 32, 40, 72. So, f(t) gets close and closer to -0.06, 0, 2.718, 32, 40, 72.
Answers
Answer:
When t= 0
f(t)= 40 degrees
The value of −32(2.718)^−0.06t approach 0 as t increases
If −32(2.718)^−0.06t approach 0 as t increases then f(t)=72−32(2.718)−0.06t approach 72
Step-by-step explanation:
The temperature of the juice can be modeled by the following function: f(t)=72−32(2.718)−0.06t, where t is measured in minutes after the juice is taken out of the refrigerator.
f(t)=72−32(2.718)^−0.06t
When t= 0
f(t)=72−32(2.718)^−0.06(0)
f(t)=72−32(2.718)^(0)
f(t)=72−32(1)
f(t)=72−32
f(t)= 40 degrees
As t increases −32(2.718)^−0.06t
Let t= 1
=−32(2.718)^−0.06(1)
= −32(2.718)^−0.06
= -30.14
Let t = 2
=−32(2.718)^−0.06(2)
=−32(2.718)^−0.12
=−32(0.8869)
= -28.38
The value of −32(2.718)^−0.06t approach 0 as t increases
If −32(2.718)^−0.06t approach 0 as t increases then f(t)=72−32(2.718)−0.06t approach 72
When t = 0, the temperature of the juice is 40°.
As time increases, [tex]-32(2.718)^{-0.06\times 0}[/tex] gets closer and closer to 0.
So, f(t) gets close to 72°
Function representing the temperature of of the juice at any time 't' is,
[tex]f(t)=72-32(2.718)^{-0.06t}[/tex]
1). If t = 0,
[tex]f(0)=72-32(2.718)^{-0.06\times 0}[/tex]
[tex]=72-32(1)[/tex]
[tex]=40[/tex] degrees
2). If [tex]t\rightarrow \infty[/tex],
[tex]-\frac{1}{32(2.718)^{0.06t}} \rightarrow 0[/tex]
[As denominator of the fraction becomes larger and larger with the increase in the value of t, value of fraction gets smaller and smaller]
3). if [tex]t\rightarrow \infty[/tex], [tex]f(t)\rightarrow 72[/tex]
Therefore, when t = 0, the temperature of the juice is 40°.
As time increases, [tex]-32(2.718)^{-0.06\times 0}[/tex] gets closer and closer to 0.
So, f(t) gets close to 72°.
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Sakura solved a fraction division problem using the rule "multiply by the reciprocal." Look at her work. 7 ÷ 2/ 5 1/ 7 × 2/ 5 = 2/35 Did she solve the problem correctly?
Answers
Answer:
D. No. She multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
Step-by-step explanation:
A. Yes. She solved the problem correctly.
B. No. She multiplied the dividend by the divisor instead of finding the reciprocal.
C. No. She multiplied the denominators instead of finding a common denominator.
D. No. She multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
Her workings
7 ÷ 2/ 5
=1/ 7 × 2/ 5
= 2/35
Dividend=7
Divisor=2/5
The correct working
7 ÷ 2/ 5
=7 × 5/2
=35/2
Answer:
D
Step-by-step explanation:
I got an 100% on the quiz I took with this question :)
Hope I could help good luck on passing!!
A line passes through point (5, –3) and is perpendicular to the equation y = x. What's the equation of the line?
Answers
Answer:
y = -x +2
Step-by-step explanation:
y =x has a slope of 1
Perpendicular lines have slopes that multiply to -1
m* 1 = -1
The slope of the perpendicular line is -1
We have a slope and a point
y = mx+b
y= -1x+b
Substitute the point into the equation
-3 = -1(5) +b
-3 =-5 +b
Add 5 to each side
-3+5 = b
2 =b
y = -x +2
find the multiplicative inverse of 3 by 4 minus 5 by 7
Answers
Answer:
28
Step-by-step explanation:
[tex]\frac{3}{4}-\frac{5}{7}[/tex]
Least Common Denominator of 4 & 7 is 4 * 7 = 28
[tex]\frac{3}{4}-\frac{5}{7}=\frac{3*7}{4*7}-\frac{5*4}{7*4}\\\\\\=\frac{21}{28}-\frac{20}{28}\\\\\\=\frac{21-20}{28}\\\\\\=\frac{1}{28}[/tex]
Multiplicative inverse of [tex]\frac{1}{28}[/tex] is [tex]\frac{28}{1} = 28[/tex]
NEED HELP!!! Please Write the quotient
as a mixed number.
93 divided by 5 = 18 R 3
Answers
Answer:
Hey there!
93 ÷ 5 can be written as 93/5.
5 goes into 93, 18 times, so we have [tex]18\frac{3}{5}[/tex]
Let me know if this helps :)
Is 3.824 a rational number?
Answers
Answer:
NopE, can’t be made into a fraction
Answer:
Yes
Step-by-step explanation:
A number is rational if it can be expressed in the form p/q, where q is not zero.
3.824 can be expressed as 3824/1000.
So, it satisfies the criteria of a rational number.
1 point 56. While riding a bicycle, a person travelled 5 blocks in 2 minutes. At this rate, how many blocks will the person travels in 16 minutes? Q
Answers
the person will travel 40 blocks in 16 minutes
Line a and t are parallel. What is the value of x?
7x - 48
5x
pls help me
Answers
Answer:
x = 24
Step-by-step explanation:
We know that lines s and t are parallel. Then by definition, the two labelled angles, which are same-side angles, are congruent and equal in measure.
Then, we set the expressions equal to each other:
7x - 48 = 5x
Subtract 5x from both sides:
7x - 5x - 48 = 0
2x - 48 = 0
Add 48 to both sides:
2x = 48
Divide by 2:
x = 48/2 = 24
Thus, x = 24.
~ an aesthetics lover
The value of x in this system of equations is 1. 3x + y = 9 y = –4x + 10 Substitute the value of y in the first equation: Combine like terms: Apply the subtraction property of equality: Apply the division property of equality:
Answers
Answer:
X = 1
Step-by-step explanation:
To solve the system of equation by susbtitution:
3x + y = 9
y = –4x + 10
We can follow the steps thus:
Substitute the value of y in the first equation:
As in the second equation y = -4x + 10 we can substitute in the first equation as follows:
3x + y = 9
3x + -4x + 10 = 9
Combine like terms:
3x + -4x + 10 = 9
Like therms are the therms with X (3x - 4x = -1x):
-1x + 10 = 9
Apply the subtraction property of equality:
-1x + 10 = 9
As 10 is suming, it passes to subtracting the 9:
-1x = 9 - 10
-1x = -1
Apply the division property of equality:
-1x = -1
Dividing in -1:
x = -1 / -1
X = 1Answer:
b
Step-by-step explanation:
The value of x in this system of equations is 1.
3x + y = 9
y = –4x + 10
Substitute the value of y in the first equation:
Combine like terms:
Apply the subtraction property of equality:
Apply the division property of equality:
3x + (–4x + 10) = 9
–x + 10 = 9
–x = –1
x = 1
What is the value of y?
y =
A water park has 28 water attractions: pools, game areas, and water slides. There are P pools and P +2 games areas. If 50% of the attractions are water slides, how many games areas are there?
Answers
Answer:
8
Step-by-step explanation:
total: 28 water attractions
pools: p
game areas: p + 2
water slides: 50% of 28 = 14
14 + p + p + 2 = 28
2p = 12
p = 6
game areas:
p + 2 = 6 + 2 = 8
A clerk at Agency Y has determined that at speeds of 25 pages per minute it is typical for 3 out of every 100 pages she photocopies to contain some type of printing error. How many pages with printing errors would she expect to find during a 4-hour photocopying session at 25 pages per minute
Answers
Answer:
180 pages
Step-by-step explanation:
Since her photocopy session is 25 pages per minute, the total number of pages photocopied in 4 hour session can be calculated as;
number of pages = time × speed
= (4 × 60) × 25
= 240 ×25
= 6000 pages
Thus, number of pages photocopied in 4 hours is 6000.
For every 100 pages, 3 would contain some type of printing error. The number of pages she expect with printing error during 4 hour session can be determined as;
= [tex]\frac{6000}{100}[/tex] × 3
= 60 × 3
= 180 pages
The expected number of pages with printing error during 4 hour photocopying session is 180 pages.
can you make a triangle with 1. 2cm 3cm and 4cm 2. 2cm 3 cm 6 cm 3. 90 degrees 45 degrees 45 degrees 4. 90 degrees 60 degrees 60 degrees?
Answers
Answer:
1. 2cm 3cm and 4cm
yes, because 2+3>4
2. 2cm 3 cm 6 cm
no, 2+3<6
3. 90 degrees 45 degrees 45 degrees
yes, 90+45+45 = 180
4. 90 degrees 60 degrees 60 degrees?
no, 90+60+60=210!=180
5 and 6? i got 3 for both
Answers
Answer:
Hey there!
5. f(4) is 3. f(3) is 2. Thus, f[f(4)]=2
6. g(2) is 3. g(3) is 1. g[g(2)]=1
Hope this helps :)
Find the coordinates of the image of Z(−3,−1) after the translation (x,y)→(x−2,y−7).
Answers
======================================================
Explanation:
We get this point by doing two things.
Subtract 2 from the x coordinate, due to the x-2Subtract 7 from the y coordinate, because of the y-7If we started with x = -3, then x-2 = -3-2 = -5. Also, if we had y = -1 then y-7 = -1-7 = -8
So that's how we end up with Z(-3,-1) moving to Z ' (-5, -8)
You could also show your work like this
[tex](x,y) \to (x-2, y-7)\\\\(-3,-1) \to (-3-2, -1-7)\\\\(-3,-1) \to (-5, -8)\\\\[/tex]
Anyone know how to do this?
Answers
What ratio of 25 dextrose and 10% dextrose should be mixed to make a 20% Dextrose? Comments for What Ratio of 25% Dextrose and 10% Dextrose to make 20% Dextrose? 10 parts 25% and 5 parts 10% solution equals 20% mixture.
Answers
Answer:
10:5 OR 2:1
Step-by-step explanation:
Let x be the parts of 25% dextrose and
y be the parts of 10% dextrose are mixed so that
20% dextrose mixture is obtained.
amount of dextrose in the mixture will be 20% of (x+y).
We have to find the value of [tex]\frac{x}y \ OR\ x:y[/tex]
Now, we can apply the concept that sum of amount of dextrose in the two liquids will be equal to the amount of dextrose in the mixture.
[tex]\Rightarrow x \times 25\% + y \times 10\%=(x+y)\times 20\%\\\Rightarrow x \times\dfrac{25}{100} + y \times \dfrac{10}{100}=(x+y)\times \dfrac{20}{100}\\\Rightarrow x \times25 + y \times 10=(x+y)\times 20\\\Rightarrow 25x + 10y=20x+20y\\\Rightarrow 25x -20x =20y-10y\\\Rightarrow 5x=10y\\\Rightarrow \dfrac{x}{y} = \dfrac{10}{5}\\\Rightarrow \bold{x:y=10:5\ OR\ 2:1}[/tex]
So, the answer is 10:5 or 2:1.
Answer:
4.90% is approximately the new Dextrose concentration.
Explanation:
Volume by Volume percent is given by ;
Volume percentage of dextrose solution = 5%
In 100 mL of solution 5 ml of dextrose is present.
Now, volume sterile water added was equal to the 40% of volume of dextrose volume.
So, volume of the sterile water added =
Total volume of the solution after addition of water = 100 mL + 1 mL = 102 mL
New concentration of dextrose will be;
4.90% is approximately the new Dextrose concentration.
Step-by-step explanation:
f(x) = x2. What is g(x)?
Answers
Answer:
g(x)=3x(superscript)2
Answer:
g(x) = 3x².
Step-by-step explanation:
In the diagram, we see that the vertex has not been shifted from the origin. The only thing that happened to the graph of f(x) was that it was vertically stretched to become g(x).
Where x = 1, f(x) = 1. Where x = 1, g(x) = 3. That means that the graph of f(x) was multiplied by 3.
So, g(x) = 3x².
Hope this helps!