Answers
Answer:
x = [tex]\frac{\pi }{3}[/tex] , [tex]\frac{2\pi }{3}[/tex] , [tex]\frac{4\pi }{3}[/tex] , [tex]\frac{5\pi }{3}[/tex]
Step-by-step explanation:
sin²x = 3cos²x
[tex]\frac{sin^2 x}{cos^2 x}[/tex] = 3
tan²x = 3, x ∈ [0, 2π)
tan x = √3 , x ∈ [0, 2π)
x = [tex]\frac{\pi }{3}[/tex] , [tex]\frac{2\pi }{3}[/tex] , [tex]\frac{4\pi }{3}[/tex] , [tex]\frac{5\pi }{3}[/tex]
Related Questions
549 customers are 36% of how many customers?
Answers
Answer:
513
Step-by-step explanation:
549- 36 = 513
A recent newspaper article claimed that more people read Magazine A than read Magazine B. To test the claim, a study was conducted by a publishing representative in which newsstand operators were selected at random and asked how many of each magazine were sold that day. The representative will conduct a hypothesis test to test whether the mean number of magazines of type A the operators sell, μAμA, is greater than the mean number of magazines of type B the operators sell, μBμB. What are the correct null and alternative hypotheses for the test?
A. H0:μA−μB=0Ha:μA−μB>0H0:μA−μB=0Ha:μA−μB>0
B. H0:μA−μB<0Ha:μA−μB>0H0:μA−μB<0Ha:μA−μB>0
C. H0:μA−μB=0Ha:μA−μB≠0H0:μA−μB=0Ha:μA−μB≠0
D. H0:x¯A−x¯B=0Ha:x¯A−x¯B>0H0:x¯A−x¯B=0Ha:x¯A−x¯B>0
E. H0:μB−μA=0Ha:μB−μA>0H0:μB−μA=0Ha:μB−μA>0
Answers
Answer:
Option A.
Step-by-step explanation:
The representative will conduct a hypothesis test to test whether the mean number of magazines of type A the operators sell, μAμA, is greater than the mean number of magazines of type B the operators sell, μBμB. What are the correct null and alternative hypotheses for the test?
To verify this, the distribution used is [tex]\mu_{A} - \mu_{B}[/tex]
The null hypothesis is an equality, which means that it is:
[tex]H_{0} = \mu_{A} - \mu_{B} = 0[/tex]
At the alternate hypothesis, we want to test if the mean number of type A is greater than type B, that is, the distribution is positive. So
[tex]H_{A} = \mu_{A} - \mu_{B} > 0[/tex]
So the correct answer is given by option A.
a and b are positive integers and a–b = 3. Evaluate the following:
27/1/3 b/9/ 1/2 a
Answers
Answer:
[tex]\dfrac{1}{27}[/tex]
Step-by-step explanation:
Given that,
a-b = 3
We need to find the value of [tex]\dfrac{27^{\dfrac{1}{3}b}}{9^{\dfrac{1}{2}a}}[/tex].
We know that,
[tex]27=3^3\\\\9=3^2[/tex]
So,
[tex]\dfrac{27^{\dfrac{1}{3}b}}{9^{\dfrac{1}{2}a}}=\dfrac{3^3^({\dfrac{1}{3}b})}{3^2^{\dfrac{1}{2}a}}\\\\=\dfrac{3^b}{3^a}[/tex]
We know that : [tex]\dfrac{x^p}{x^q}=x^{p-q}[/tex]
So,
[tex]\dfrac{3^b}{3^a}=3^{b-a}[/tex]
Since, b-a = -3. So,
[tex]3^{b-a}=3^{-3}\\\\=\dfrac{1}{3^3}\\\\=\dfrac{1}{27}[/tex]
So, the value of the given expression is equal to [tex]\dfrac{1}{27}[/tex].
help!!!!! will give big brain
Answers
Explanation
Round to the nearest tenth
Answers
Answer:
Step-by-step explanation:
Pythagorean theorem: b² + 6² = 14²
b² = 14² - 36² = 160
b = 4√10
sin(A) = 6/14 = 3/7
∠A = arcsin(3/7) ≈ 25.4°
∠B ≈ 90° - 25.4° = 64.6°
the lowest point of the dry lake bed in the example has an elevation of -18 3/4 ft what number represents the change in elevation from the start of the path to the lowest point in the dry lake bed show your work (my teacher said she messed it up so it’s the same question just the numbers are -18 3/4 - (-12 1/2) explain how !
Answers
Answer:
the lowest point of the dry lake bed in the example has an elevation of -18 3/4 ft what number represents the change in elevation from the start of the path to the lowest point in the dry lake bed show your work (my teacher said she messed it up so it’s the same question just the numbers are -18 3/4 - (-12 1/2) explain how !
If ABCD is a parallelogram, m
A
B
(3x + 4)º
D
xº
C
Equation:
X=
(PLEASE HELP)
Answers
Answer:
x is 44 because
3x+4+x=180
4x=180-4
4x=176
x=44
Enter the value of 2 • 43 +4.
PLEASE ANSWER QUICK
Answers
Answer: 90
Step-by-step explanation:
2*43+4
86+4
90
Answer:
94
Step-by-step explanation:
43 +4 = 47
47 x2 = 94
What is the answer to 6= m + 6
Answers
Answer:
m= 0
Step-by-step explanation:
6=m+6
6−6=m+6−6
m=0
brainliest would be appreciated. have a great day :)
What is the solution to the equation?
x
3
=
21
Answers
Will give brainliest if you awnser all math questions
1. Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
Which savings account is growing fastest?
They are growing at the same rate.
simple interest
compounded quarterly
2.Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
Use the graph shown to estimate the amount in Account A in 30 years.
$340
$350
$370
$400
3.Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
Use the graph shown to estimate the amount in Account B in 30 years.
$400
$410
$420
$450
4.Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
What is the approximate difference between the two accounts in 20 years?
$100
$50
$25
$10
5.Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
Why is the amount much higher in the compounded interest account?
The account started with more money.
The account is in a better bank.
The interest rate is higher.
The account pays interest on both the principal and the interest accumulated.
Answers
Answer: Compounded quarterly, 350, 420, 25, the account pays interest on both the principal and the interest accumulated.
Step-by-step explanation:
Question 1: Compounded quarterly is growing fastest because it's broken down more than what simple interest does and therefore is faster instead.
Question 2: Account A in 30 years would be 350, I did this problem and eyeballed it. Trust me.
Question 3: Account B in 30 years would be 420.
Question 4: The approximate difference between the two accounts in 20 years would be 25.
Question 5: If the rate of interest is annual and the interest is compounded quarterly then the number of years is 4 times and the rate of annual interest is one-fourth. Therefore, the account pays interest on both the principal and the interest accumulated.
Hope this helps
The simple interest and compound interest are solved for both the curves
a) The compound interest is growing fastest
b) the amount in Account A in 30 years A = $ 350
c) The amount in Account B in 30 years is B = $ 420
d) The difference between the two accounts in 20 years = $ 25
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
a)
Let the 2 curves be represented as A and B
Now , the amount invested by A = $ 200
The rate of simple interest = 2.5 %
And , the amount invested by B = $ 200
The rate of compound interest = 2.5 %
So , we can say that since it is more thoroughly broken down than basic interest is, compounded quarterly growth is the quickest.
b)
The amount for A in 30 years is given in the graph
A = $ 350
c)
The amount for B in 30 years is given in the graph
B = $ 420
d)
The amount for A in 20 years is given in the graph = $ 300
The amount for B in 20 years is given in the graph = $ 325
The difference between the two accounts in 20 years = $ 325 - $ 300
The difference between the two accounts in 20 years = $ 25
Hence , the compound interest is solved
To learn more about compound interest click :
https://brainly.com/question/21270833
#SPJ3
The chart below shows one store’s sales of computers, listed by model. 2 circle graphs. A circle graph titled May. Poreg, 262; Quilren, 282; Dinztop, 223; Quilren 2, 135; Juvanto, 148. A circle graph titled June. Poreg, 173; Quilren, 184; Dinztop, 148; Quilren 2, 153; Juvanto, 212. If the changes in sales between May and June continue at the same percent rate, how many Dinztop computers will be sold in July? a. 73 b. 98 c. 142 d. 184
Answers
Answer:
b. 98
Step-by-step explanation:
May and June:
May: 223 Dinztop sales
June: 148 Dinztop sales.
So
[tex]p = \frac{148}{223} = 0.6637[/tex]
In June, it sold 0.6637 = 66.37% the amount of computers sold in May.
How many Dinztop computers will be sold in July?
Because of the same percent rate, 0.6637 = 66.37% of the amoutns sold in June.
0.6637*148 = 98
The correct answer is given by option b.
A building company completes 42 homes every 2 months.
At this rate, how many homes can the company complete in 6 months?
Answers
126
Step-by-step explanation:
the ratio is 2months- 42 homes
6-126 = (2-42)x3
Answer:
the answer is a or b
Step-by-step explanation:
cat e (5×4)+(5×7) ? plss
Answers
Answer:
55
Step-by-step explanation:
Answer:
20+35
55
Step-by-step explanation:
I hope that helps!
Bella invested $7,400 in an account paying an interest rate of 5 3/8 % compounded continuously. Lily invested $7,400 in an account paying an interest rate of 5 3/4% compounded quarterly. After 17 years, how much more money would Lily have in her account than Bella, to the nearest dollar?
Answers
Answer:
$1078
Step-by-step explanation:
what is the slope of the line 8y = -16
Answers
Answer: y=-2
Step-by-step explanation:
8y=-16
divide by 8 on each side
y=-2
Angela plans to buy new flooring for her bedroom. Her bedroom floor is a rectangle that is 7.9 meters by 6.2 meters. a. How many square meters of floor space does her bedroom have? meters squared b. Suppose the flooring costs $5.90 per square meter. How much will the flooring cost? (use a dollar sign and NO SPACES)
Answers
part A is 48.98 meters squared. part B is $288.982.
Step-by-step explanation:
To find the area of the flooring you multiply 7.9 and 6.2 which gives you 48.98 meters squared. Then for part B you take your product from part A and multiply it by $5.90, giving you $288.982.
I hope this helps
I purchase a new gaming system on opening night. Since I am one of the first 100 customers to purchase the system, the store gives me a 20% discount of the regular cost. If I pay $500 for the gaming system at the discounted price, what is the regular cost of the gaming system?
I WILL GIVE BRAINLIEST
Answers
Answer:
2500
Step-by-step explanation:
50020%50020%
Convert 20%20% to a decimal.
5000.25000.2
Divide 500500 by 0.20.2.
2500
The triangular pyramid needs square inches of construction paper to make. The square pyramid needs square inches of construction paper to make. The pyramid will need square inches more construction paper to make than the other pyramid. Need help ASAP
Answers
Answer:
Please post the figure
Step-by-step explanation:
Eli buys milk and lemons at the store.
He pays a total of $50.59.
He pays a total of $6.35 for the milk.
He buys 7 bags of lemons that each cost the same amount.
How much does each bag of lemons cost?
Answers
Answer:
$6.32
Step-by-step explanation:
m + L = total $
6.35 + 7L = 50.59
7L = 44.24
L = 6.32
4(2h+g) can y’all tell me how to solve it please
Answers
Answer:
Step-by-step explanation:
4(2h+g)
8h + 4g
[tex]4(2h + g)[/tex], distribute by multiplying 4 × 2h = 8h and 4 × g = 4g
[tex]8h + 4g[/tex], final answer
hope this helps you understand :)
What is the total cost of a video game that is $59.99 with a sales tax of 7%?
Answers
Answer:
Your total will be $64.19
Step-by-step explanation:
I know this because 7% is $4.20 and so if i add $59.99 to $4.40 i will get $64.19:)
Lauren is going to invest $740 and leave it in an account for 9 years. Assuming the
interest is compounded monthly, what interest rate, to the nearest tenth of a percent,
would be required in order for Lauren to end up with $920?
Answers
Don’t Go into no links on here there a scam end up
Answer:
2.4
Step-by-step explanation:
Find the Area of the Shaded Region.
Round to the nearest tenth if necessary.
6 m
(5 m
15 m
15 m
Answers
Answer:
195 m
Step-by-step explanation:
Both shapes follow the formula: A = bh
The Big Square:
15 x 15 = 225
The Small Square:
6 x 5 = 30
225 - 30 = 195
Madeline invested $960 in an account paying an interest rate of 3.5% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,250?
Answers
Answer:
It is 8 years
Step-by-step explanation:
Answer:
Answer:
It is 8 years
Step-by-step explanation:
Step-by-step explanation:
what is a counterexample for the following conjecture if a counterexample does not exist choose not possible conjecture all quadrilaterals are rectangles
Answers
Answer:
Step-by-step explanation:
Which expressions are equivalent to
565x+7)-3(x-4)? Select three options.
Answers
Answer:
1001
Step-by-step explanation:
$2200/month&£-£+£+£
If f(x)=3x and g(x)=1/x what is the domain of (gof)(x)?
Answers
Answer:
f=7x g=3 x=18
Step-by-step explanation:
Choose 1 answer: A Vertical angles B. Complementary angles C Supplementary angles D None of the above
Answers
Answer:
Complementary angles
Step-by-step explanation:
When two angles add up to 90°, they are Complementary to each other.
Here, ∠DAB = 90° (right angles)
It means, ∠DAB = ∠BAE (vertically opposite angles)
Also, ∠BAE = a + b
So, a+b is equal to 90°. Hence, the correct option is (b) "Complementary angles".
How do you solve this? Or what’s the answer?
Answers
Answer:
6.7
Step-by-step explanation:
Make a proportion (similar triangles):
(15) / (10+x) = 6/x
15x = 60 + 6x
9x = 60
x = 6.7