Answer:
A sin 30°D cos 60°Step-by-step explanation:
Attached is a short table of trig function values. There are really only three you need to remember if you keep an image of the sine and cosine graphs in your head (for 0° and 90° values).
sin(α) = cos(90°-α)
tan(α) = sin(α)/cos(α)
__
sin(30°) = cos(60°) = 1/2 . . . . . . . the answer to this question
sin(45°) = cos(45°) = 1/√2 = (√2)/2
sin(60°) = cos(30°) = (√3)/2
__
I find it just as easy to remember SOH CAH TOA and the side ratios in isosceles and half-equilateral right triangles: 1:1:√2 and 1:√3:2, respectively.
a. Find the first four nonzero terms of the Maclaurin series for the given function. b. Write the power series using summation notation. c. Determine the interval of convergence of the series. f(x)equals(4plusxsquared)Superscript negative 1 a. The first nonzero term of the Maclaurin series is nothing. The second nonzero term of the Maclaurin series is nothing. The third nonzero term of the Maclaurin series is nothing. The fourth nonzero term of the Maclaurin series is nothing. b. Write the power series using summation notation. Choose the correct answer below. A. Summation from k equals 0 to infinity minus StartFraction 1 Over 4 Superscript k plus 1 EndFraction x Superscript 2 k B. Summation from k equals 0 to infinity StartFraction 1 Over 4 Superscript k plus 1 EndFraction x Superscript k C. Summation from k equals 0 to infinity StartFraction (negative 1 )Superscript k Over 4 Superscript k EndFraction x Superscript k D. Summation from k equals 0 to infinity StartFraction (negative 1 )Superscript k Over (4 )Superscript k plus 1 EndFraction x Superscript 2 k
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
What kind of organizations are supported by economic interest groups? a. civil rights organizations b. professional organizations c. womens’ rights organizations d. business and trade organizations Please select the best answer from the choices provided A B C D
Answer: I think it’s A sorrykf I’m wrong
Step-by-step explanation:
What’s the correct answer for this?
The equation of the circle:
[tex](x-x_0)^2+(y-y_0)^2=R^2[/tex]
[tex]x_0=-6;y_0=-3; R=12,so\\(x-(-6))^2+(y-(-3))^2=12^2\\(x+6)^2+(y+3)^2=144[/tex]
Answer: [tex](x+6)^2+(y+3)^2=144[/tex]
QUESTION 1 of 10: You have planned activities of 30 minutes, 15 minutes, 1.5 hours, and .75 hours. How many total hours of activity do you
have planned?
DME
AR
ins
a) 1
Info
b) 2
C) 25
d) 3
Answer:
d) 3
Step-by-step explanation:
1.5= 1 hour and 30 mins
+ 30 mins = 2 hours
.75 hours = 45 mins
+ 15 mins = 1 hour
2 hours + 1 hour = 3 hours
The solution is, d) 3 hours of activity do you have planned.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
given that, You have planned activities of 30 minutes, 15 minutes, 1.5 hours, and .75 hours.
now, we have,
1.5= 1 hour and 30 mins
with that add,
+ 30 mins = 2 hours
again, we know,
.75 hours = 45 mins
adding with that,
+ 15 mins = 1 hour
finally, adding we get,
2 hours + 1 hour = 3 hours
Hence, The solution is, d) 3 hours of activity do you have planned.
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emily is making a histogram for the data 12 24 56 7 34 75 34 86 34 78 and 96, which is the most appropriate first interval?
A. 0-5
B. 0-10
C. 0-50
D. 0-100
Answer:
Option B. is correct
Step-by-step explanation:
Given:
Data: 12 24 56 7 34 75 34 86 34 78 and 96
To find: the most appropriate first interval
Solution:
A histogram is a pictorial representation to display frequency data using rectangular bars.
In histogram, each bar is for a range of data.
For the given data, options A. is not appropriate as the least value given in the data is 7.
Option C. is not appropriate as then the data falls under just two intervals only.
Option D. is not appropriate as then the data falls under just one interval only.
Option B. is the most appropriate first interval
A diver starts at the wreck of the Varanger and then ascends 8 feet every 5 minutes. What is the diver’s depth after one hour?
I NEED THE CORRECT ANSWER, THIS IS A MATH PROJECT!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
60 minutes divided by 5 times 8
96 feet
Which two numbers multiply to -52 and add to 24?
Answer: -2 and 26
Step-by-step explanation:
-2 * 26 = -52
-2 + 26 = 24
Answer:
-2 and 26
Step-by-step explanation:
You have a total of 52 respondents to a survey
9 out of the 52 answered Adapting
8 out of the 52 answered Other
3 out of the 52 answered Yes
5 out of the 52 answered No
21 out of the 52 answered Absolutely
3 out of the 52 answered Maybe
What are the results in % form?
Answer:
17% , 15% , 6% , 10% , 40% , 6%
Step-by-step explanation:
You're going to have to divide the number of people who voted for those positions by the total number of people.
Adapting = 9 / 52 = 17%
Other = 8 / 52 = 15%
Yes = 3 / 52 = 6%
No = 5 / 52 = 10%
Absolutely = 21 / 52 = 40%
Maybe = 3 / 52 = 6%
The discriminant of the equation x2 + x - 30 = 0 is?
The solution(s) of the equation x +x-30 = 0 is/are?
Answer:
discriminant: 11solutions: -6, +5Step-by-step explanation:
Comparing your equation to the standard form, we can find the values necessary to compute the discriminant:
x^2 +x -30 = 0
ax^2 +bx +c = 0
So, we have ... a = 1, b = 1, c = -30
The discriminant is defined as ...
d = √(b² -4ac) = √(1² -4(1)(-30)) = √121
d = 11
The solutions are ...
x = (-b ± d)/(2a) = (-1 ±11)/2
x = {-6, +5}
What is the mean and standard deviation of the adult values in the table below?
Number Fish length
to the nearest inch Description
1 12 Adult
2 5 Juvenile
3 3 Juvenile
4 6 Adult
5 8 Adult
6 2 Juvenile
7 10 Adult
8 9 Juvenile
9 4 Juvenile
10 4 Juvenile
Mean = 2.6, Standard Deviation = 9
Mean = 4.3, Standard Deviation = 12
Mean = 12, Standard Deviation = 4.3
Mean = 9, Standard Deviation = 2.6
Answer: Mean = 9, Standard Deviation = 2.6
Answer:
The correct answer is:
Mean =9, standard deviation =2.6
Step-by-step explanation:
I got it right.
Find x in DEF
A. 6
B. 6 (square root 2)
C. 6 (square root 3)
D. 12
Answer:
B. 6√2
Step-by-step explanation:
We can use the Pythagorean Theorem to solve this out. The Pythagorean Theorem states that for any right triangle with the shortest sides (called legs) as a and b and the longest side (called the hypotenuse) as c:
a² + b² = c²
Here, a = b = 6, so:
6² + 6² = c²
36 + 36 = c²
72 = c²
c = √72 = 6√2
Now, we see the answer is B.
However, there's a trick to solving these kinds of problems. Notice that DEF is both an isosceles triangle and a right triangle. We call these 45-45-90 triangles because those are the angles of the triangle.
One characteristic of these types of triangles is that their leg to leg to hypotenuse ratio is 1 : 1 : √2, always. We could apply that here. We see that the legs are 6, so we could find the hypotenuse simply by multiplying 6 by √2, and we would get 6√2, which is exactly the value we obtained above.
Thus, the answer is B.
Find the value of P that makes the equation true
P P P P P P
36
Find the value of P that makes the equation true
PLEASEE HELPP MEEE WITH NUMBERSSS 6 AND 7
ILL MARKK U BRAINLIEST FOR UR EFFORT FOR THE CORRECT ANSWER!!!!!!!!!!
Answer:
6.)66 degrees
7.)20 degrees
Step-by-step explanation:
Step-by-step explanation:
Angle 114 and angle 3 are supplementary, meaning that they can be added to get 180 degrees
If you subtract 114 from 180 you get 66 degrees
Angle D and Angle C are both complimentary, meaning that if you add them together you get 90 degrees
If you subtract 70 from 90 you get 20
14 in.
2 in.
2 in.
3 in.
3 in.
The volume of the figure
is
cubic in.
Answer: 68 inch
Step-by-step explanation:
are repeating decimals rational or irrational? explain your reasoning in detail and use examples to prove your response
Answer:
Rational
Step-by-step explanation:
Because the decimal is repeating like 3.33333333 repeating it would be rational because it can be predicted that the number after it would be 3. If the answer was .5647395043794 with more number after it then it wouldn't be able to be determined and would be irrational.
xyz, for x = 2y = 3, and z = 10
Answer:
2y=3 = y = 3/2 = 1.500
z = 10 = z = 10
Steps below
Step-by-step explanation:
Solving a Single Variable Equation
Add 3 to both sides of the equation :
2y = 3
Divide both sides of the equation by 2:
y = 3/2 = 1.500
Hope this helps.
Please help................
[tex]184.5 \: ft {?}^{2} [/tex]
Researchers surveyed 1,000 randomly selected adults in the U.S. A statistically significant, strong positive correlation was found between income level and the number of containers of recycling they typically collect in a week.
1. Please select the best interpretation of this result.
Group of answer choices:
O This result indicates that earning more money influences people to recycle more than people who earn less money.
O We can not conclude whether earning more money causes more recycling among U.S. adults because this type of design does not allow us to infer causation.
O This sample is too small to draw any conclusions about the relationship between income level and amount of recycling for adults in the U.S.
Answer:
Null hypothesis: [tex]\rho =0[/tex]
Alternative hypothesis: [tex]\rho \neq 0[/tex]
The statistic to check the hypothesis is given by:
[tex]t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}[/tex]
And is distributed with n-2 degreed of freedom. df=n-2[/tex]
For this case we got a significant result that means that the real correlation coefficient is different from 0 . And for this case the best interpretation would be:
This result indicates that earning more money influences people to recycle more than people who earn less money
Step-by-step explanation:
The correlation coeffcient is given by this formula:
[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]
For this case we know that this value of r is positive and represent a string correlation between income level and the number of containers of recycling
In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:
Null hypothesis: [tex]\rho =0[/tex]
Alternative hypothesis: [tex]\rho \neq 0[/tex]
The statistic to check the hypothesis is given by:
[tex]t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}[/tex]
And is distributed with n-2 degreed of freedom. df=n-2[/tex]
For this case we got a significant result that means that the real correlation coefficient is different from 0 . And for this case the best interpretation would be:
This result indicates that earning more money influences people to recycle more than people who earn less money
Which system of equations can be used to find the roots of the equation 4 x Superscript 5 Baseline minus 12 x Superscript 4 Baseline + 6 x = 5 x cubed minus 2 x?
Answer:
D) StartLayout Enlarged left-brace 1st row y = 4 x Superscript 5 Baseline minus 12 x Superscript 4 Baseline + 6x 2nd row y = 5 x cubed minus 2 x EndLayout
Step-by-step explanation:
Edg test
Answer:
d
Step-by-step explanation:
plain and simple
Need help with this question
I’ll report you if wrong
Step-by-step explanation:
Step 1: Graph the inequalities
x - 5y ≤ 2
x + y > 0
Look at the attachment:
Answer:
Look below for the graph
Explanation:
We need to graph
x + y > 0
x - 5y ≤ 2
Hope this helps
give brainliest if you please
It is claimed that the expected length of time some computer part may work before requiring a reboot is 26 days. In order to examine this claim, 80 identical parts are set to work. Assume that the distribution of the length of time the part can work (in days) is Exponential. The 80% percentile of the distribution of the average is of the form E(X) ± c, where E(X) is the expectation of the sample average. The value of c is ________. (You are asked to apply the Normal approximation to the distribution of the average of the 80 parts that are examined. The answer may be rounded up to 3 decimal places of the actual value.)
Answer:
3.012
Step-by-step explanation:
Let use x to represent the length of time some computer part may work
where ; we have a sample of size n = 80
Say [tex]X_1, X_2, ... X_{80[/tex]
[tex]X_i[/tex] [tex]\approx[/tex] [tex]exp (\lambda)[/tex] where ( λ =26 days)
[tex]E( \bar X) = \frac{1}{n} \sum \limits^n_{i=1} E( {x_i})= 26[/tex]
[tex]V(\bar X) = \frac{1}{n^2} \sum \limits ^n_{i=1} U(X_i) = \frac{(26)^L}{n}[/tex]
So find [tex]\bar X 's[/tex] distribution using the Normal approximation.
[tex]\bar X \approx N (26, \frac{(26)}{n}^L)[/tex]
[tex]Z = \dfrac{\bar {X} - 26}{\frac{26}{\sqrt n}} \approx N (0,1)[/tex]
However, let's determine c such that:
[tex]P (-c \leq \bar x \leq c) = 0.8 \\ \\ P ( \dfrac{-c-26}{\frac{26}{\sqrt n}} \leq \dfrac{\bar x -26 }{\frac{26}{n} } \leq \dfrac{c-26}{\frac{26}{\sqrt n}}) =0.8[/tex]
[tex]P ( \dfrac{-c-26}{\frac{26}{\sqrt n}} \leq Z \leq \dfrac{c-26}{\frac{26}{\sqrt n}}) =0.8[/tex]
where; [tex]Z \approx N (0,1)[/tex]
[tex]P ( Z > \dfrac{c-26}{\frac{26}{\sqrt n}}) =0.15 = P ( Z < \dfrac{-c-26}{\frac{26}{\sqrt n}})[/tex]
[tex]\dfrac{c-26}{\frac{26}{\sqrt n}}= 1.036[/tex]
[tex]c= 26+\frac{26}{\sqrt 80}}* 1.036[/tex]
c = 29.0115
Given that :
The 80% percentile of the distribution of the average is of the form
E(X) + c
Then;
29.0115-26 = 3.0115
≅ 3.012 (to 3 decimal place)
Tasty Things Bakery recently sold 20 desserts, including 8 brownies. Considering this data, how many of the next 5 desserts sold should you expect to be brownies?
Answer:
About 2 of their next 5 deserts sold would be brownies.
Let's represent this by fractions. If 8 out of the 20 desserts they sold were brownies, that would make the fraction 8/20 represent how many brownies were sold.
Now if you reduce this fraction, you get 2/5, which tells about how many brownies will be sold in the next 5 brownies judging by the other data.
is this a example of a literal equation 4x+7=22
Answer:
yes
Step-by-step explanation:
A literal equation is an equation where variables represent known values.
Consider the graph of the quadratic function y = 2x2 - 4x
+ 2.
How many zeros does the function have?
ob
6
2
-2
2
-2
Answer:2
Step-by-step explanation:
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
B. Yes, because it passes the vertical line test.
Step-by-step explanation:
Let's review why the other answers are incorrect.
First, A would not be correct since a curved line doesn't necessarily indicate that it is a function, however, it is a non-linear function since it's not a straight line but rather a curved line as said. Now, you might be wondering why exactly A would not be correct even if it is a non-linear function, the reason is because most of time, you are asked to find and determine if a graph is a function or not using the vertical line test.
Second, C would not be correct since it is saying that a function has to be a straight line, but as we've covered that above, in which a function does not have to be linear and can be non-linear which means it's a curved line. Thus, C is not correct as non-linear functions exist.
Third, D would not be correct because this graph actually does pass the vertical line test. In order for the graph to fail the vertical line test, it has to touch the graph in the same x points. This graph passes the vertical line test, since the x coordinates haven't repeated yet, however in some cases, the direction of the line may suddenly change and touch upon the same x points. But, in theory, this line would be starting from the origin and heading to infinity with it's curvature.
Lastly, the reason why B is correct is due to it passing the vertical line test. Again, we already covered this in the 3rd reason but I must make it clear that, this is a function since it passes the vertical line test.
Answer:
B
Step-by-step explanation:
We can eliminate options A and C because in order to be a function, a graph doesn't have to be curved or a straight line. For examlpe, a straight line isn't curved, and a parabola isn't a straight line, but they are still functions. This leaves us with options B and D, which both pertain to the vertical line test. If we conduct this test, we will find that no vertical line intersects the graph and 2 points. Therefore, it passes the vertical line test, and is a function. Hope this helps!
What are the mean and the median of 73, 77, 85, 84, 35, and 115.
Answer:
PLEASE GIVE BRAINLIEST AND THANKS
Mean=78.16666666666667 or 78.17 rounded
Median= 80.5
Step-by-step explanation:
Mean=add all up and divided by amount of numbers
median= order numbers from smallest to biggest and find the middle
Please help me and I’ll Try to help you
Answer:
12/35
Step-by-step explanation:
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
C) [tex]G(x) = (x-1)^2-1[/tex]
Step-by-step explanation:
wat os 1 ploos 6
plssssszzzz hewlp i have a test tommwwrow
Answer: 7
Step-by-step explanation: 1 + 6 = 7
TRUE or FALSE:
(a) Two lines parallel to a third line are parallel.
(b) Two lines perpendicular to a third line are parallel.
(c) Two planes parallel to a third plane are parallel.
(d) Two planes perpendicular to a third plane are parallel.
(e) Two lines parallel to a plane are parallel.
(f) Two lines perpendicular to a plane are parallel.
(g) Two planes parallel to a line are parallel.
(h) Two planes perpendicular to a line are parallel.
(i) Two planes either intersect or are parallel.
(j) Two lines either intersect or are parallel.
(k) A plane and a line either intersect or are parallel.
Answer:
Please see below
Step-by-step explanation:
The answers of True or False are given considering that the given statements correspond to lines and planes in a three-dimensional space.
(a) Two lines parallel to a third line are parallel. True
(b) Two lines perpendicular to a third line are parallel. False
(c) Two planes parallel to a third plane are parallel. True
(d) Two planes perpendicular to a third plane are parallel. False
(e) Two lines parallel to a plane are parallel. False
(f) Two lines perpendicular to a plane are parallel. True
(g) Two planes parallel to a line are parallel. False
(h) Two planes perpendicular to a line are parallel.
(i) Two planes either intersect or are parallel. True
(j) Two lines either intersect or are parallel. False
(k) A plane and a line either intersect or are parallel. True
(a) Two lines parallel to a third line are parallel. True
(b) Two lines perpendicular to a third line are parallel. False
(c) Two planes parallel to a third plane are parallel. True
(d) Two planes perpendicular to a third plane are parallel. False
(e) Two lines parallel to a plane are parallel. False
(f) Two lines perpendicular to a plane are parallel. True
(g) Two planes parallel to a line are parallel. False
(h) Two planes perpendicular to a line are parallel.
(i) Two planes either intersect or are parallel. True
(j) Two lines either intersect or are parallel. False
(k) A plane and a line either intersect or are parallel. True
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