help, easy math. will mark brainlist!!
Answer:
It is the first one 1/3(p+45).
Answer:
choice 1) 1/3(p + 45)
Step-by-step explanation:
1/3p + 15 = 1/3(p + 45)
Find all solutions to 2sin(θ)=√3 on the interval 0≤θ<2π
Answer:
2sin(3θ) - √3 = 0
Step-by-step explanation:
sin(3θ) = √3/2
3θ = π/3 + 2kπ or 2π/3 + 2kπ, k = 0, ±1, ±2, ±3,...
θ = π/9 + 2kπ/3, 2π/9 + 2kπ/3
If k = 0, we get θ = π/9, 2π/9
If k = 1, we get θ = 7π/9, 8π/9
If k = 2, we get θ = 13π/9, 14π/9
Other values of k give values of θ lying outside of the interval [0, 2π).
We want to find all the solutions of 2sin(θ) = √3 on the interval 0 ≤ θ ≤ 2π. The only solution is θ = 1.05
So we want to solve the equation: 2sin(θ) = √3
First, we divide both sides by 2 to get:
sin(θ) = (√3)/2
Now remember the inverse sine function, it acts as follows:
Asin(sin(x)) = xsin(Asin(x)) = x
So we can apply this to both sides to get:
Asin(sin(θ)) = Asin((√3)/2)θ = Asin((√3)/2) = 1.05
And because we know that the period of the sine function is 2π, we know that there is only one solution on the range between 0 and 2π, then the only solution in the interval is:
θ = 1.05
If you want to learn more, you can read:
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the area of one face of a cube is 36 square feet. what is the volume of a cube that has edges twice as long?
a. 144 feet cubed
b. 216 ft cubed
c. 1,728 ft cubed
d. 5832 ft cubed
For every 9 pounds of blueberries that Joey picks, she
is able to bake 6 blueberry pies. How many pounds of
blueberries does Joey use in each pie?
How do I solve this quadratic using the square root property
Answer: x=2−2√3,2+2√3
Step-by-step explanation:
I know how to solve this problem
Write 186% as a mixed number in simplest form
Answer:
Step-by-step explanation:
Kwowvskdjshsns
PLEASE HELP ASAP REAL ANSWERS ONLY OR WILL BE DELETED! 20 PTS!!
To the nearest tenth of a centimeter, how tall is a cylinder with a radius of 7.4 cm and volume of 2119.5 cm3 Give the approximate answer rounded to 2 decimal places.
Step-by-step explanation:
v= 2×pi×r²×h=2119.5cm³
h=2119.5/(2×pi×r²) r=7.4cm
Answer:
12.32cm
Step-by-step explanation:
Volume of cylinder = πr²h
2119.5=π(7.4²)h
h=2119.5/54.76π
h=12.3202666868
h=12.32cm
If square ABCD is similar to square WXYZ and AB = 35 , AD = 30 , and WX = 42 , find WZ
Answer:
35.5
Step-by-step explanation:
Convert the following number from scientific notation to standard notation 9.316 * 10 ^ 12
9316000000000
hope this helps
Answer:
9.316 × 10¹² = 9 316 000 000 000
i.e nine trillion, three hundred and sixteen billion.
A group consisting of 126 students and 7 chaperones is going on a field trip. Which of the following groups does not have the same ratio of students to chaperones?
Answer:
c
Step-by-step explanation:
Here are the options
A 36 students and 2 chaperones B. 54 students and 3 chaperones O C 90 students and 4 chaperones D 108 students and 6 chaperones
We have to simply the ratio of students to chaperones to its lowest form .
126 : 7 = dividing number of students and chaperones by 7 gives : 18:1
36 : 2 = dividing number of students and chaperones by 2 gives : 18:1
54 : 3 = dividing number of students and chaperones by 3 gives : 18:1
90 : 4 = dividing number of students and chaperones by 4 gives : 22.5 : 1
108 : 6 = dividing number of students and chaperones by 6 gives : 18:1
It can be seen that it is only 90:4 that does not have the same ratio as that given in the question
Selina weighs a metal sample in science class as being 20.8 grams. The actual weight of the sample is 20 grams. What is her percent relative error? Show your work.
Answer:
.04%
Step-by-step explanation:
you would subtract the 20.8 by 20 to get .8, then you divide .8 by the actual wait to get .04%
A merchant sells goods which cost $240 for $299. What percentage is his profit of the cost price?
Answer:
24.58%
Step-by-step explanation:
Given that,
Initial cost = $240
Final cost = $299
We need to find the percentage in his profit of the cost price.
Profit = Final cost - Initial cost
= $299 - $240
= $59
Percentage,
[tex]\%=\dfrac{59}{240}\times100\\\\=24.58\%[/tex]
So, the required percentage is equal to 24.58%.
Find all missing angles in the diagram
F(x)-mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and b
Answer: [tex]m=\dfrac{-1}{3}, b=\dfrac{7}{3}[/tex]
Step-by-step explanation:
Given
Function is [tex]f(x)=mx+b[/tex]
[tex]f(-2)=3[/tex]
[tex]\therefore 3=m(-2)+b\\\Rightarrow b-2m=3\quad \ldots(i)[/tex]
[tex]f(4)=1\\\therefore 1=4m+b\quad \ldots(ii)[/tex]
from (i) and (ii) we get
[tex]m=\dfrac{-1}{3}, b=\dfrac{7}{3}[/tex]
Plz answer now Presenting your findings best fits which step of the statistical process?
a) Form a question that can be answered by data.
b) Design and implement a plan that collects data.
c) Analyze the data using graphical and numerical methods.
d) Interpret and compare the data.
Answer:
Interpret and compare the data
Step-by-step explanation:
when you compare you are presenting your information and data to others and they present theirs to you.
Answer:
Interpret and compare the data
Step-by-step explanation:
Find the value of the variables or indicated side length in each isosceles triangle.
Answer:
x = 9°
y = 39°
Step-by-step explanation:
7x = 63
x = 9°
3y + 63 = 180
3y = 117
y = 39°
I want to prove that (2tanx)/(sec^2x)=sin2x.
Answer:
Step-by-step explanation:
[tex]LHS = \frac{2 tan x}{Sec^{2} x}\\\\= 2tan x * \frac{1}{Sec^{2}x}\\\\= 2*\frac{Sinx }{Cos x}*Cos^{2}x\\\\= 2Sin x *Cos x\\= Sin 2x[/tex]
A vector v has initial point (5,-2) and terminal point (1, -3). Write v in the form v=ai+bj.
Answer:
v= -4i-j
Step-by-step explanation:
we subtract the coordinates and we achieve the coordinates and we replace them in the equation of the straight line in the form y=ai+bj.
What is an equivalent ratio to 3:4?
Answer:
12:16
Step-by-step explanation:
3 x 4 = 12
4 x 4 = 16
Answer:
6:8, 9:12, or 12: 16
Step-by-step explanation:
don't know how many you need but hope this helps! :))
What is the value (Shown in the picture) of f(81)?
Cory is saving for his son's college education. If the savings account earns 2.8% interest
compounded monthly, and he wants to have $25,000 in 18 years, what must the principal
be? Round your answer to the nearest dollar.
Answer:
principal is $15112
Step-by-step explanation:
25000=P(1+ 0.028/12)^(12times18)
The principal amount of the savings is $15111.6
How to determine the principal amount?The given parameters are:
Interest rate, r = 2.8%Amount, A = $25,000Time, t = 18 yearsNumber of times compounded, n = 12 i.e. monthlyAmount is calculated using:
A = P(1 + r/n)^nt
So, we have:
25000 = P(1 + 2.8%/12)^(12 * 18)
Make P the subject
P = 25000/(1 + 2.8%/12)^(12 * 18)
Evaluate the expression
P = 15111.6
Hence, the principal amount is $15111.6
Read more about compound interest at:
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Find the volume of a sphere with a radius of 7.8cm.
Answer:
Step-by-step explanation:
volume of sphere=4/3 π (7.8)³
=4/3π×474.552
=π×4×158.184
=632.736π
≈1987.799 cm³
The population of a southern city follows the exponential law. If the population doubled in size over 19 months and the current population is 50,000, what will the population be 5 years from now?
Answer:19=2x/yr..(407936.5)
Step-by-step explanation:
Find the measurements of the numbered angles in each kite.
Answer:
∠1 = 90°
∠2 = 26°
Step-by-step explanation:
A representative sample of 50 students from a high school is surveyed. Each student is asked what science class he or she
is taking
This table shows the responses.
Science Class
Physics
Chemistry
Blology
Earth Science
Health Science
Number of
Students
6
10
18
4
12
Select all of the statements that are valid based on the survey results..
The statements that are valid based on the survey results are:
About 20% of the students are taking chemistry.
About twice as many students are taking health science than are taking physics.
For every 150 students we could predict that at least 18 of the students are taking physics.
Option A, B, and C are correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
About 20% of the students are taking chemistry:
To calculate the percentage of students taking chemistry, we divide the number of students taking chemistry by the total number of students surveyed and multiply by 100:
10/50 x 100% = 20%
Therefore, the statement "About 20% of the students are taking chemistry" is valid based on the survey results.
About twice as many students are taking health science than are taking physics:
The number of students taking health science is 12, and the number of students taking physics is 6. To see if twice as many students are taking health science than physics, we can compare the ratios:
Health science : Physics = 12 : 6 = 2 : 1
Since the ratio is 2:1, we can conclude that the statement "About twice as many students are taking health science than are taking physics" is valid based on the survey results.
For every 150 students, we could predict that at least 18 of the students are taking physics:
To make this prediction, we need to calculate the proportion of students taking physics based on the survey results:
6/50 = 0.12
To predict how many students are taking physics in a larger population, we can multiply the proportion by the size of the population:
0.12 x 150 = 18
Therefore, the statement "For every 150 students we could predict that at least 18 of the students are taking physics" is valid based on the survey results.
For every 25 students, we could predict that at least 4 of the students are taking Earth Science:
To make this prediction, we need to calculate the proportion of students taking Earth Science based on the survey results:
4/50 = 0.08
To predict how many students are taking Earth Science in a larger population, we can multiply the proportion by the size of the population:
0.08 x 25 = 2
Therefore, the statement "For every 25 students we could predict that at least 4 of the students are taking Earth Science" is not valid based on the survey results, as we would predict that at least 2 students are taking Earth Science, not 4.
Therefore,
The statements that are valid based on the survey results are:
About 20% of the students are taking chemistry.
About twice as many students are taking health science than are taking physics.
For every 150 students we could predict that at least 18 of the students are taking physics.
Learn more about expressions here:
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The total cost of a pair of shoes and a shirt was $81.59. If the price of the pair of shoes was $0.91 less than the shirt, what was the price of the pair of shoes? Express your answer as a simplified fraction or a decimal rounded to two places.
Answer:
$40.34
Step-by-step explanation:
x+(x+.91)=81.59
2x+.91=81.59
2x=80.68
x=40.34
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https://brainly.com/question/22760250
Answer:
Is this called
BRAINLIEST WHO EVER ANSWERS FIRST !!!!!!I need someone to talk too! Please if anyone is willing to talk to me, I will give brainiest!
Answer:
A tropism (from Greek τρόπος, tropos, "a turning") is a biological phenomenon, indicating growth or turning movement of a biological organism, usually a plant, in response to an environmental sti
What if both Sammy and Tanya each drove the same number of miles for another 14 days? How many miles would they have driven ALL TOGETHER?
Answer:
Take whatever amount of miles Sammy and Tanya drive and add them
Step-by-step explanation:
I don't have many numbers to work with so my equations are:
14 x (1 day of driving miles amount) = a
A x 2 = your answer
I need help plz will give brainlyist
Answer:
tara
Step-by-step explanation:
scott wrote it backwards
your suppose to write a+b not b+a
so tara got it right
5x≥25 help th bewbsanks