Answer:
Slope=0.12 power is down by 28%
Step-by-step explanation:
:)
Find the exact value of tan π/12.
[tex]\textit{Half-Angle Identities}\qquad tan\left(\cfrac{\theta}{2}\right)= \begin{cases} \pm \sqrt{\cfrac{1-cos(\theta)}{1+cos(\theta)}} \\\\ \cfrac{sin(\theta)}{1+cos(\theta)}~~\leftarrow \textit{let's use this one} \\\\ \cfrac{1-cos(\theta)}{sin(\theta)} \end{cases} \\\\\\ 2\cdot \cfrac{\pi }{12}\implies \cfrac{\pi }{6}~\hspace{10em} \cfrac{~~ \frac{\pi }{6}~~}{2}\implies \cfrac{\pi }{6}\cdot \cfrac{1}{2}\implies \cfrac{\pi }{12}[/tex]
so let's use the double of the angle in the half-angle identities, check the picture below for the cosine, sine pairs
[tex]tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{sin\left( \frac{\pi }{6} \right)}{1+cos\left( \frac{\pi }{6} \right)}\implies tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{~~ \frac{1}{2}~~}{1+\frac{\sqrt{3}}{2}}[/tex]
[tex]tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{~~ \frac{1}{2}~~}{~~\frac{2+\sqrt{3}}{2}~~}\implies tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{1}{2}\cdot \cfrac{2}{2+\sqrt{3}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{1}{2+\sqrt{3}}~\hfill[/tex]
(6y^3) - 42y= -4y^3
please helpp
Answer:
i have no clue
Step-by-step explanation:
i said this bc apparently i have to help someone to get help and i just wanna finish this math homework lol
plssssssssss help me Graph y= –73x+2.
Refer to the attachment for the graph.
[tex]\mathbb{MIREU} [/tex]
I NEED HELP ON QUESTION B AND C ASAP.
Answer:
See belowStep-by-step explanation:
Part BAssumed the dimensions of the top and bottom parts are identical.
Since the cylindrical part has total height of 1.8 cm and the hemisphere volume is transferred to bottom part and the cone part is still full, the value of h is the difference of the total height of cylinder and full part of the top section of cylinder:
h = 1.8 cm - 0.3 cm = 1.5 cmPart CFind the volume of sand in the bottom part. It consists of a hemisphere and a cylinder of 1.5 cm height.
V(cylinder) = πr²h = 3.14*(2.6/2)²*1.5 ≈ 7.96 cm³V(hemisphere) = 2/3πr³ = 2/3*3.14*(2.6/2)³ ≈ 4.6 cm³Total sand in the bottom part:
7.96 + 4.6 = 12.56 cm³Time taken:
12.56 / 0.05 = 251.2 seconds = 4 min 11.2 secondsCamden has a loyalty card good for a 17% discount at his local hardware store. What number should he multiply the prices on the tags by to find the price he would have to pay, before tax, in one step?
Answer:
0.83Step-by-step explanation:
Let the price is x.
With 17% discount it becomes:
x - 17% of x =x - 0.17x = 0.83xThe number we need is 0.83
Solution,
Assume That The Price is x
When Will Put It in Equation,
[tex] \frak{ \bigstar}{ \rm{ {We \: Will \: Get,}}}[/tex]
[tex]{ \longmapsto{ \sf{x-17 \% \: of x =}}}[/tex][tex]{ \longmapsto { \sf{x-0.17x}}}[/tex]0.83Hence, Required Price is “0.83”
y
is directly proportional to
x
2
.
If
y
=
8
when
x
=
2
find
y
when
x
=
3
Answer:
y = 18 when x = 3
Step-by-step explanation:
y is directly proportional to x^2, meaning:
[tex]y=ax^2[/tex]
where a is the proportion between them. We're given the values for both x and y, so plug those in and solve for a:
[tex]8=a(2)^2\\8=a4\\2=a\\a=2[/tex]
Now you can use a to solve for y when x is 3:
[tex]y=ax^2\\y=(2)(3)^2\\y=2(9)\\y=18[/tex]
Netan surveyed 460 teenagers to find out their favorite type of movie. He found that 45% of the teenagers surveyed like comedies.
Part A: How many teenagers surveyed like comedies? Show your work. (4 points)
Part B: In another survey, Hannah found that 50% of the total number of teenagers surveyed like thrillers. If 40 teenagers like thrillers, what is the total number of teenagers that Hannah surveyed? Show your work. (4 points)
Part C: Give an example of a situation in which a percentage is greater than 100%. (2 points)
Question 3 options:
Answer with step-by-step explanation:
A: 207
We know that percentage is out of 100, so we can divide 460 by 100 to find 1%, which is 4.6. We also know 45% percent of teenagers like comedies, so we multiply 4.6 by 45, or 207. 207 teenagers like comedies.
B. 80 teenagers
We know that 50% of teens Hannah surveyed like thrillers. We also know that 40 teenagers like thrillers. Using multiplication, we can multiply 40 by 2, since 50% is half, we need to multiply by 2 to get the total number of teenagers. Hannah surveyed 80 teenagers.
C. Jamie went to the candy store and spent his entire allowance of $20 on candy. His friends gave him $5 more dollars, so he bought candy with that too. He spent 125% of his allowance on candy.
The number of teenagers who like comedy is 207, and The total number of teenagers Hannah surveyed is 100.
What is percentage?A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.
Given:
Netan surveyed 460 teenagers, He found that 45% of the teenagers surveyed like comedies,
(a) Calculate the number of teenagers who like comedy as shown below,
The number of teenagers who like comedy = 45 × 460 / 100
The number of teenagers who like comedy = 207
(b) Calculate the total number of teenagers as shown below,
The total number of teenagers × 50% = 40
The total number of teenagers = 40 × 100 / 40
The total number of teenagers = 100
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PLEASE HELP WILL MARK BRAINIEST!!!!!
Answer:
c. copy an angle.
there's no angle in this as far as I can see.
What is 14ab+10a written in factored form?
Answer:
2a(7b+5)
Step-by-step explanation:
yeah-ya....... right?
What is the volume of the irregular figure?
Answer:
the answer u r looking for is 144
Step-by-step explanation:
if u know who this is i will follow u
hint: its from avatar tla
only the first person that answers!!!
Solve for x. 3x+11=9x-14
Answer:
x=25/6
Step-by-step explanation:
3x+11=9x-14
11=6x-14
25=6x
x=25/6
Answer:
[tex]x=\cfrac{25}{6}[/tex]
or
[tex]x=4.16[/tex]
Step-by-step explanation:
[tex]3x+11=9x-14[/tex]
[tex]3x+11-11=9x-14-11[/tex]
[tex]3x=9x-25[/tex]
[tex]3x-9x=9x-25-9x[/tex]
[tex]-6x=-25[/tex]
[tex]\cfrac{-6x}{-6}=\cfrac{-25}{-6}[/tex]
[tex]x=\cfrac{25}{6}[/tex]
Have a good day!
PLEASE HELP ILL GIVE BRAINLIESTTTT
Answer:
about 5.1 units
Step-by-step explanation:
to find the length between two points you can use the pythaogorean theorem
5^2 + 1^2 = c^2
25 + 1 = c^2
26 = c^2
c is about 5.09901
rounding to the nearest tenth we get 5.1
We figure 25 people will attend if it rains and 70 people will attend if it does not rain. The weather forecast indicates that there is a 20% chance of rain that day. What is the expected number of people who will attend the party?
Answer:
34
Step-by-step explanation:
20% of 70 + 80% of 25 = 14 + 20 = 34.
Answer:
61
Step-by-step explanation:
Assuming a linear relationship between the percent chance for rain and the number of attendees, the number is 20% of the way from 70 (0% chance) to 25 (100% chance).
The expected number of people with a 20% chance of rain would be 61.
(hope it helps)
I need help on this 1 problem on math
Answer:
x = 21
Step-by-step explanation:
2x+78 = 5x+15,
because corresponding angles will allow (2x+78) to move diagonally from 5x+15.
from built geometry knowledge,
angles diagonal from one another equal,
because (example) the angle above it would be 180-(2x+78),
then 5x+15 = 180 - [180-(2x+78)], which would ultimately be 5x+15 = 2x+78.
so, 2x+78 = 5x+15
78-15 = 5x-2x
63 = 3x
21 = x
On a number line, where would
7/10 be located? Choose all answers that make
a true statement.
Answer:
Step-by-step explanation:
The length of a photograph is 6 inches less than little twice the width. The photograph is mounted in a frame that is 3 inches wide on all sides. If the area of the framed picture is 270 square inches, find the dimensions of the unframed photograph.
Answer:
syuare root 270 to get 16.4 then subtract 6 to get 10.4
Mrs. Traynor's class is taking a field trip to the zoo. The trip will cost $26 for each student. There are 22 students in her class. Use compatible numbers to estimate the total cost of the field trip.
Answer:
$572
Step-by-step explanation:
Since she has to pay $26 for her 22 students, you need to multiply to find the answer$26 * 22 = 572Therefore, she has to pay $572Jenny bought 5 pounds of carrots for $2.50. What is the unit rate for
Jenny's purchase? Identify the true statement that corresponds to this
situation.
A. 2 pounds of carrots per $1
B. $5 per pound
Answer:
A. 2 pounds of carrots per $1
Step-by-step explanation:
[tex]\frac{5 pounds }{2.5 dollars}=\frac{2pounds }{1 dollars}[/tex]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
What is the sum of 6/7 and 1/2?
Answer: [tex]\frac{19}{14}[/tex] in improper form and [tex]1\frac{5}{14}[/tex] in mixed fraction form.
Step-by-step explanation: [tex]\frac{6}{7}[/tex] + [tex]\frac{1}{2}[/tex] = ? First you have to find the LCM (Least Common Multiple) of 7 and 2; also known as the LCD (Least Common Denominator). The LCM of 7 and 2 is 14 so you have to multiply both of the fractions by the number that equals 14, remember to multiply it for the numerator too. [tex]\frac{6}{7}[/tex] x [tex]\frac{2}{2}[/tex] = [tex]\frac{12}{14}[/tex] Then [tex]\frac{1}{2}[/tex] x [tex]\frac{7}{7}[/tex] = [tex]\frac{7}{14}[/tex] Now you add [tex]\frac{12}{14}[/tex] and [tex]\frac{7}{14}[/tex] together. You leave the denominator as 14 because you found the LCD of 7 and 2 already, so you add 12 and 7 together which gives you 19. The answer would be [tex]\frac{19}{14}[/tex] in improper fraction form and [tex]1\frac{5}{14}[/tex] in mixed fraction form.
The sum of the fraction 6/7 and 1/2 is 19/14
How to add fractionsGiven:
sum of 6/7 and 1/2
Sum means addition(+)
= 6/7 + 1/2
The least common denominator is 7 × 2 = 14
= 6/7 + 1/2
= (12+7) / 14
= 19/14
Therefore, the sum of 6/7 and 1/2 is 19/14
Learn more about fraction:
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A jeans maker is designing a new line of jeans. These jeans will sell for $410 per unit and cost $328 per unit in variable costs to make. Fixed costs total $120,000. If 5,000 units are produced and sold, income equals:
Answer:
$290,000
Step-by-step explanation:
Total cost = total variable cost + fixed cost
= 5000×328 + 120000
= 1640000+120000
=1760000 $
The jeans maker earns in total = 5000 × 410
= 2050000 $
So the income is
= 2050000 – 1760000 = 290000 $ ( Answer)
If the number of units is 5,000. Then the income will be $290,000.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
A pants producer is planning another line of pants. These pants will sell for $410 per unit and cost $328 per unit in factor expenses to make. Fixed costs complete $120,000.
Let 'x' be the number of units. Then the equation is given as,
Income = Selling cost - Variable cost - Fixed cost
Income = $410 x - $328 x - $120,000
Income = $82 x - $120,000
If the number of units is 5,000. Then the income is calculated as,
Income = $82 (5,000) - $120,000
Income = $410,000 - $120,000
Income = $290,000
More about the function link is given below.
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Two tanks hold a total of 61 gallons of a toxic solvent. One tank holds 4 gallons more than twice the amount in the other. How many gallons does each tank hold?
Answer:
tank 1 : 19 gallons
tank 2 : 42 gallons
Step-by-step explanation:
tank 1 : x
tank 2 : 2x+4 ( 4 more than twice the other )
x + ( 2x + 4 ) = 61
3x + 4 = 61 [ add x + 2x = 3x ]
3x = 57 [ subtract 4 on both sides ]
x = 19 [divide 3 on both sides ]
tank 1 : 19 gallons
tank 2 : 42 gallons
a person pays a loan of Rs. 3900 in monthly installments each in installment being less than the former by Rs. 20 ,the amount of first is Rs.400 in how many installment will entire amount be paid ? give reason
Answer:
15 installments
Step-by-step explanation:
3900 = Σ [tex]\left \ {{x=n} \atop {x=1}} \right.[/tex] 400 - 20*(n - 1)
What number group includes only the counting number and 0
Answer:
Integers
The set of numbers including all the whole numbers and their opposites (the positive whole numbers, the negative whole numbers, and zero)
Help pls, will give brainliest
Simplify 2^3 x 2^18
Answer:
it is 2^21
Step-by-step explanation:
Answer:
2^21
Step-by-step explanation:
add 3 and 18 together
dont change 2
Given that
P
=
x
+
y
.
Find
P
when:
x
=
3
and
y
=
−
11
Answer:
P=14
Step-by-step explanation:
Since P depends on two variables x and y as the sum of the two, then;
P = 3+ 11
P = 14
A company claims that their new bottle holds 40% more laundry soap.
If their original container held 53 fluid ounces of soap, how much does the new container hold?
plz show work too plz
Answer:
74.2
Step-by-step explanation:
53 x .4 = 21.2
21.2 + 53 = 74.2
Help, im incredibly confused
[tex]f[/tex](x) = 0.20x + 35 : 29.5
Patrick gets an allowance of $30 per week. If he babysits his brother, his parents give him an additional $5 per hour for every hour he babysits. Which equation can Patrick use to find y, the amount of money he will have after a week in which x hours of babysitting is done?
y = 30 + 5x
y = 35x
y = 30x + 5
y = 30x
identify a potential sustainable agriculture practice to reduce the impact of the large-scale intensive agriculture on
Answer:
Focus on planting trees and and getting healthier soil, improve energy efficiency and not use so much pesticides using natural ways to plant things.
Step-by-step explanation:
What is the common ratio of the sequence?
-2, 6, -18, 54,...
A.-3
B.-2
C.3
D.8