Answer:
θ = π n + π/2 for n element Z
Step-by-step explanation:
Solve for θ:
1 + 2 cos(2 θ) + cos^2(2 θ) = 0
Write the left hand side as a square:
(cos(2 θ) + 1)^2 = 0
Take the square root of both sides:
cos(2 θ) + 1 = 0
Subtract 1 from both sides:
cos(2 θ) = -1
Take the inverse cosine of both sides:
2 θ = 2 π n + π for n element Z
Divide both sides by 2:
Answer: θ = π n + π/2 for n element Z
17) Tony is retiring after 40 years and will receive a monthly pension of $1400
and Social Security of $1100 a month. What will be Tony's total annual
income?
Add the two monthly incomes together:
1400 + 1100 = 2500 a month.
There are 12 months in a year, multiply the monthly income by 12:
2500 * 12 = $30,000 per year.
Answer:
$30,000 per year.
Step-by-step explanation:
Add the two monthly incomes together:
1400 + 1100 = 2500 a month.
There are 12 months in a year, multiply the monthly income by 12:
2500 * 12 = $30,000 per year.
Which of the following best describes the graph below?
Answer:
The correct answer is D.
Data were collected and showed an increase in ice cream sales as the weather gets warmer. Which of the following best describes this situation?
a.)Based on the data, this is an example of correlation and causation.
b.)Based on the data, this is an example of correlation.
c.)Based on the data, this is an example of causation.
d.)Based on the data, this is not an example of causation or correlation.
Based on the data, this is an example of correlation and causation. Option A is correct
To give the conclusion to data collected showed an increase in ice cream sales.
What is correlation?Correlation is defined as the two things depends on each other.
Here,
People would like to buy ice cream in warm weather this statement is correlation and causation is people would like to by ice cream cause the increase in temperature.
Thus, Based on the data, this is an example of correlation and causation.
Learn more about correlation here:
https://brainly.com/question/20739138
#SPJ2
Final answer:
The increase in ice cream sales as the weather gets warmer is an example of correlation.
Explanation:
The best description for this situation is b.) Based on the data, this is an example of correlation. Correlation refers to a relationship or pattern between two variables. In this case, as the weather gets warmer, there is an increase in ice cream sales. However, correlation does not imply causation, meaning one variable does not cause the other. It is more likely that the warmer weather influences both the increase in ice cream sales and other factors that may affect sales.
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Answer:
The first one considering you are starting at -7/11... no other number line starts at or goes beyond -7/11....
Answer:
The answer would be -3/10. Therefore, the only timeline that has -7/10, 4/10 and -3/10 is the first one.
Step-by-step explanation:
The answer to the problem is -3/10, as -7 + 4 is -3, and the 10 stays the same. The first timeline accommodates all of the numbers well, and you can see how you get the answer. Hope this helps!
how do you factor - 8x² +28x + 60
Answer:
-4 • (x - 5) • (2x + 3)
Step-by-step explanation:
Answer:
I wasn't sure if it was a 8x^2 or a -8x^2. So I have done both.
The factor of -8x^2+28x+60 is -8(x^2-11).
The factor of 8x^2+28x+60 is 4(2x^2+7x+15)
Please help!!!!!!!!!!!!
Answer:
t = 0.77
Step-by-step explanation:
f(t) = 11 × (1.5^t)
f(t) = 15
11 × (1.5^t) = 15
1.5^t = 1.364 (3d.p)
log1.5(1.364) = t
t = 0.77 (2d.p)
-3(x-3y) I dont know hot to solve the question
- 3(x - 3y) = - 3x + 9y
You're welcome.
Answer: get the app mathaway or math photo it will help u so so much
Step-by-step explanation:
DOES ANYONE KNOW HOW TO DO THIS??????????? NEED HELP QUICK!!!!!!!!
Answer:
1. Figure 4
2. Figure 3
3. Figure 2
Step-by-step explanation:
Sorry I cant explain it.
47 hundredths as a fraction and as a decimal number
Answer:
47/100 and 0.47
Step-by-step explanation:
A fraction is a number over 100
A decimal is a number with a decimal point that conside with a fraction
'Polonium-210 is a radioactive substance with a half-life of 138 days. If a nuclear
facility is handling 310 grams of polonium-210, then how many grams of polonium-
210 will be left in 330 days. Round your answer 4 decimal places and remember to
use labels.
Answer:
59.0891 g (rounded to 4 decimal places)Explanation:
Half-life time of a radioactive substance is the time for half of the substance to decay.
Thus, the amount of the radioactive substance that remains after a number n of half-lives is given by:
[tex]A=A_0\cdot (1/2)^n[/tex]Where:
A is the amount that remains of the substance after n half-lives have elapses, andA₀ is the starting amount of the substance.In this problem, you have that the half-live for your sample (polonium-210) is 138 days and the number of days elapsed is 330 days. Thus, the number of half-lives elapsed is:
330 days / 138 days = 2.3913Therefore, the amount of polonium-210 that will be left in 330 days is:
[tex]A=310{g}\cdot (1/2)^{2.3913}=59.0891g[/tex](2) 345
Maria drove 715 miles in 13 hours.
At the same rate, how many miles would she drive in 5 hours?
miles
x
s
?
Answer:
275 miles in 5 hours
55 miles in one hour
Check
to check if im right
275×2 would be how many miles she drove in 10 hours rght ? 275×2=550
550 miles in 10 hours
we know one hour is 55 miles & 5 hours is 275 & 10 hours is 550
10 hours plus 3 hours = 13 hours right ?
55 ×3 = 165
550 +165=715
715 miles in 13 hours
Step-by-step explanation:
715÷13 to get how many miles she drove in one hour .
=55 miles in 1 hour .
then multiply 55 ×5 to get how many miles she drove in 5 hours
55×5=275
275 miles in 5 hours
A copy machine makes 32 copies per minute. How long does it take to make 136 copies?
I minutes ] seconds
Becky just measured herself and found out she is 65 inches tall. The last time she measured, she was 52 inches tall. What percent taller is Becky now?
Answer:
25%
Step-by-step explanation:
52 - 65 = 13 in growth.
13 = 25 % of 52.
So, Becky is now 25% taller.
A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of n=1100 registered voters and found that 570 would vote for the Republican candidate. Let p represent the proportion of registered voters in the state who would vote for the Republican candidate. We test H0:p=.50 Ha:p>.50 (a) What is the z-statistic for this test? (b) What is the P-value of the test?
Part A
p = 0.5 is the hypothesized population proportion
x = 570 is the number of successes
n = 1100 is the sample size
phat = x/n = 570/1100 = 0.518182 is the approximate sample proportion
SE = standard error
SE = sqrt(p*(1-p)/n)
SE = sqrt(0.5*(1-0.5)/1100)
SE = 0.015076 which is approximate
----
We have enough to compute the z test statistic
z = (phat - p)/(SE)
z = (0.518182 - 0.5)/(0.015076)
z = 1.206023
z = 1.21
Answer: The z-statistic is approximately 1.21==============================
Part B
Compute the probability of getting a z score larger than 1.21
P(Z > 1.21) = 1 - P(Z < 1.21)
P(Z > 1.21) = 1 - 0.8869 .... see note below
P(Z > 1.21) = 0.1131
note: the value 0.8869 comes from the table that I've attached as an image below. I have marked in red the proper row and column used to look up the value. The z table is commonly found in statistics textbooks toward the back sections. There are also many free online z tables you can search out as well. I used a z table found online. Alternatively, you can use your TI83 or TI84 calculator to compute the area under the normal curve. You would use the normalCDF function.
Answer: The P-value is approximately 0.1131The z-statistic for testing whether the proportion of voters favoring the Republican candidate is greater than 0.50 is approximately 1.36. The P-value associated with this z-statistic is roughly 0.0869, indicating the probability of observing such sample results if the true proportion was indeed 0.50.
A newspaper conducted a statewide survey regarding the 1998 race for state senator, sampling n=1100 registered voters, with 570 favoring the Republican candidate. We are testing the hypotheses H₀: p = .50 against Ha: p > .50, where p represents the proportion of registered voters in the state who would vote for the Republican candidate. The steps for calculating the z-statistic and the P-value are outlined.
Calculation of the z-statistic:
To calculate the z-statistic for this test, we use the formula z = (p' - p₀) / √(p0(1 - p₀) / n), where p' = 570/1100 = 0.518 is the sample proportion, and p₀ = 0.50 is the null hypothesis proportion. Plugging in the numbers, we get:
z = (0.518 - 0.50) / √(0.50(1 - 0.50) / 1100) ≈ 1.36.
Calculation of the P-value:
The P-value is the probability that, assuming H0 is true, we would observe a sample proportion as extreme as or more extreme than the one observed. For a z-statistic of 1.36 in a right-tail test, the P-value can be found using a Z-table or software, resulting in:
P-value ≈ 0.0869.
To conclude, based on the calculated P-value, the decision on whether or not to reject the null hypothesis would depend on the level of significance (α) chosen for the test.
what is 50% in fractions
Answer: It is 50/100
Answer:
50/100 or 1/2
Richard and Teo have a combined age of 37. Richard is 4 years older than twice Teo's age. How old are Richard and Teo?
Answer:
Teo is 11 years old and Richard is 26 years old.
Step-by-step explanation:
Let R be the age of Richard and T be the age of Teo.
First set up the equations:
The combined age of Teo and Richard is 37:
R+T=37
Richard is four years old than twice Teo's age:
R=2T+4
Then, solve the equations:
Substitute (2) to (1) and solve for T:
(2T+4)+T=37
3T=11
T=11
Solve for R using (2):
R=2(11)+4
R=22+4
R=26
Which expressions are equivalent to 76(3 + c)?
Answer:
76c + 228
Step-by-step explanation:
Use the distributive property
76 × 3 = 228
76 × c = 76c
76c + 228
Answer:
76c + 228
Step-by-step explanation:
How do you do a two step inequality?
Step-by-step explanation: It takes two steps to solve an equation or inequality that has more than one operation:
Simplify using the inverse of addition or subtraction.
Simplify further by using the inverse of multiplication or division.
I looked this up on Google JUST to be sure. I truly hope this helped! Your fellow Brainly user, GalaxyGamingKitty May I have Brainliest please?
23,478 round to the nearest ten thousands
Answer:
20,000
Step-by-step explanation:
because its closer to 20,000 than 30,000
Five math questions
Answer:
1. 6
2. 36
3. 12
4. 30
5. 20
Which algebraic expression is a polynomial with a degree of 5
Answer: For example, the polynomial which can also be expressed as has three terms. The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5, which is the highest degree of any term.
Step-by-step explanation: (If this helps)
Answer:
Step-by-step explanation:
the answer is 2xy4 + 4x2y3 – 6x3y2 – 7x4
Ken made &14,500 in five months at his new job how much can he expect to make in two years if his pay remains constant
Answer:
$69,600
Step-by-step explanation:
$14,500 in 5 months,
14,500/5=2,900
so he makes $2,900 each month,
1 year=12 months
2 years=24 months
-------------------------------------------------
2900*24=69600
so he expects to make $69,600 in two years.
Answer:
$69,600
Step-by-step explanation:
14,500/5=2,900
2,900x24=69,600
2. ** You have $10 to spend on lunch today and want both a drink and a salad. The drinks cost $1.25 each
and the salad costs $0.20 per ounce.
a
Write an equation that models this situation.
$0.20x + $1.25 = $10
Where x = ounces of salad
Make w the subject of the formula y-aw=2w-1
Answer:
w = (y+1)/(2+a)
Step-by-step explanation:
y-aw=2w-1
y+1 = 2w+aw (collecting the like terms)
y+1 = w(2+a)
w(2+a) =y+1
w = (y+1)/(2+a)
Find the values of x and y that make these triangles congruent by HL.
x = -3 y - 4
x = -4 y-3
x = -6. y-5
x = -5, y = 6
Answer:
[tex]x=5, y=6[/tex]
Step-by-step explanation:
we know that
If triangles ABC and AED are congruent, then its corresponding sides are congruent
so
BC=ED
AC=AD
substitute the given values
[tex]x=y-1[/tex] ----> equation A
[tex]3x-2=2y+1[/tex] ----> equation B
solve the system by substitution
substitute equation A in equation B
[tex]3(y-1)-2=2y+1[/tex]
solve for y
[tex]3y-3-2=2y+1[/tex]
[tex]3y-2y=1+5[/tex]
[tex]y=6[/tex]
Find the value of x
[tex]x=y-1[/tex] ----> [tex]x=6-1=5[/tex]
therefore
[tex]x=5, y=6[/tex]
PLS HELP ASAP I WILL GIVE BRAINLIST
Answer:
D
Step-by-step explanation:
4(4)+3-5
16-2
14
please solve with working thankyou much appreciated
Answer:
5cm
Step-by-step explanation:
its an equilateral triangle because all 3 angles are 60°
equilateral triangle's sides are all equal so its 5cm
You and three friends spend $35 on tickets at the movies.Write and solve the equation to find the price p of one ticket.
Final answer:
The price of one movie ticket, represented as p, can be found by dividing the total cost of $35 by the number of friends, which is 4. The equation is 4p = 35, and solving for p gives $8.75 per ticket.
Explanation:
To calculate the price of one movie ticket when you and three friends spend a total of $35 on tickets, you would set up an equation where p represents the price of one ticket. The equation will be:
4p = 35
To solve for p, you would divide both sides of the equation by 4:
p = 35 / 4
p = $8.75
Therefore, the price of one movie ticket is $8.75. The calculated value of p is $8.75, indicating that each movie ticket costs $8.75. This method allows for the precise determination of individual ticket prices based on the total amount spent by the group, facilitating accurate financial planning for movie outings.
there are 12 girls and 18 boys in a class what is th largest number of groups they can be split into and have the same number of boys and girls on each team?
15 groups
Step-by-step explanation:
boys can be split in 9 groups of 2 and the girls can be split in 6 groups of 2
adding this 9+6=15
what is 28.204 rounded to the nearest whole
Answer:
28
Step-by-step explanation:
Answer:
28
Step-by-step explanation: