Answer:
[tex]\displaystyle \cos 2\theta=-\frac{7}{9}[/tex]
Step-by-step explanation:
Cosine Double Angle
Given the cosine of an angle θ, the cosine of 2θ is given by the formula:
[tex]\cos 2\theta=2\cos^2\theta-1[/tex]
Given
[tex]\displaystyle \cos \theta=\frac{1}{3}[/tex]
Calculate
[tex]\displaystyle \cos 2\theta=2\left(\frac{1}{3}\right)^2-1[/tex]
[tex]\displaystyle \cos 2\theta=2\left(\frac{1}{9}\right)-1[/tex]
[tex]\displaystyle \cos 2\theta=\frac{2}{9}-1=-\frac{7}{9}[/tex]
[tex]\mathbf{\displaystyle \cos 2\theta=-\frac{7}{9}}[/tex]
A circular track has a radius of 35 cm. If an athlete runs around it twice, how far has he run?
Answer:
70cm If you simplify though, you'll get another answer depending on how you simplify (Like in inches or something else)
Step-by-step explanation:
35 + 35?
Sandra had a coupon for 20% it took off $60 from the total cost. What was the original price of the item?
Answer:
$300
Step-by-step explanation:
Since 20% is equal to 1/5, you should multiply $60 by 5 to get $300 as the original cost and as your answer.
Answer:
$300
Step-by-step explanation:
Question is '60 is 20 percent of what number'?
is/over = percent/100
60/x = 20/100
cross-multiply: 20x=600; x = 300
Part C: Test the four possible vertices that you found in the objective function in part A. Use those values to determine which set of values maximizes the objective function.
I included part A as a reference in the picture. I only need the answer to Part C, which is listed above. Thank you for the help!
9514 1404 393
Answer:
C(5, 0, 55) = 430C(5, 30, 25) = 400C(15, 30, 15) = 420C(45, 0, 15) = 510 . . . maximumStep-by-step explanation:
Only two of the vertices are listed in this problem statement. The other two are intersections of x+y+z = 60 with x=5 and the constraints on y. We assume that ...
0 ≤ y ≤ 30
so the missing vertices are ...
(x, y, z) = (5, 0, 55) and (5, 30, 25)
The two given vertices are ...
(x, y, z) = (15, 30, 15) and (45, 0, 15)
Then the objective function values are ...
C(5, 0, 55) = 9·5 +6·0 +7·55 = 45 +0 +385 = 430
C(5, 30, 25) = 9·5 +6·30 +7·25 = 45 +180 +175 = 400
C(15, 30, 15) = 9·15 +6·30 +7·15 = 135 +180 +105 = 420
C(45, 0, 15) = 9·45 +6·0 +7·15 = 405 +0 +105 = 510
The objective function is maximized at (x, y, z) = (45, 0, 15).
__
Shown in the attachment are the equality constraints. The inequality constraints overlap in the octant closest to the upper front corner in the figure. That is, the feasible region is the section of the orange plane that is above the red plane, left of the black plane, and in front of the blue plane. The semi-transparent purple plane is the maximized objective function. It intersects the orange plane at the lower left vertex, (x, y, z) = (45, 0, 15).
_____
Additional comment
The maximum calorie burn found here includes no aerobics. If an aerobic workout is required to exercise certain muscle groups, a minimum constraint needs to be put on y. This problem statement has no such constraint.
Answer:
Correct for edmentum & Plato
Step-by-step explanation:
Remember: f(x, y, z) = 9·x + 6·y + 7·z (from part A)
1: (5,30,25)--- 9(5)+6(30)+7(25)= 45+180+175= 400 calories
2: (5,40,15)---9(5)+6(40)+7(15)= 45+240+105= 385 calories
3: (15,30,15)---9(15)+6(30)+7(15)= 135+180+105= 420 calories
4: (5,30,15)---9(5)+6(30)+7(15)= 45+180+105= 330 calories
Equations:
C(5, 30, 25) = 400 aka #1
C(5,40,15) = 385 aka #2
C(15, 30, 15) = 420 aka #3
C(5,30,15) = 330 aka #4
Write the equation in slope intercept form
What is the best estimate for the value of the expression? (34/8 - 16/3) - 14/9
-3
-2 1/2
7
7 1/2
PLEASE HELP ASAP
choose all statements about percentages that are true a. 15% of 30 is 12 b. 25% of 80 is 20 c. 30% of 50 is 25 d. 30% of 60 is 18 e. 40% of 20 is 8
Answer:a b c
Step-by-step explanation:
4. Three college friends rent an apartment. They are required to pay two months’ rent plus a $600 security deposit when they sign the lease. The total amount they pay the landlord is $3800. What is the apartment’s rent for one month?
Answer:
3500$
Step-by-step explanation:
3800÷2-600=1300$
Please hurry
Ankara estimated the quotient of 15 1/3 divided by (-4 2/3) to be 3. Which best describes his error?
A. Ankur multiplied the compatible numbers 15 and -3
B. Ankur found that the quotient of a positive number and a negative number is negative.
C. Ankur found that the quotient of a positive number and a negative number is positive.
D. Ankur added the compatible numbers 15 and -3
Answer:
Its C not b
Step-by-step explanation:
I got 100% on the second quiz on the first I got 90 because i chose b
What is the greatest common factor of 14 and 37?
Answer:
1
Step-by-step explanation:
The greatest common factor is 1
The farmer's market sells fruit baskets. Each basket contains 12 apples and 4 pears. Use a to represent the cost of each apple and p for the cost of each pear.
a) Write an EXPRESSION that represents the cost of 12 apples
b) Write an EXPRESSION that represents the cost of 4 pears
c) Write an EXPRESSION that represents the TOTAL COST of one basket
Answer:
a) a x 12
b) p x 4
c) (a x 12) + (p x 4)
Step-by-step explanation:
These are the answers because:
1) Since a is representing the cost of each apple, we have to multiply the a with 12.
2) Since p is representing the cost of each pear, we have to multiply the p with 4.
3) Finally, for c, each basket contains 12 apples and 4 pears. Therefore, we just use our eautions from before and add them which will give you the total cost of one basket.
Hope this helps! :D
help please please please
Answer: 1/3
Step-by-step explanation: The slope goes up 1 and over 3 each time. Rise over run : 1/3
Answer:
1/3
HELP ME IN THIS QUESTION:
In art class, the students each made rectangular quilts using 24 paper squares. They then glued a button onto each square and decorated the squares with markers.
1. Create all of the possible arrays for modeling a rectangular quilt with the 24 paper squares. Write an equation to accompany each array. You can use the attached pre-made quilt squares by cutting and pasting them, or you can draw the arrays with your own designs on a separate sheet of paper
ONLY REAL QUESTIONS
If h(x) = 3x – 1 and g(x) = -3x2 – 5, find h(g(x)).
A boy is on a sled moving down a hill at 20 m/s. The combined mass of the sled and child is 100 kg. The momentum of the
child and sled is
A. 5 kg.m/s
B. 20 kg.m/s
C. 1000 kg.m/s
D. 2000 kg.m/s
Answer:A!
Step-by-step explanation: 100/20 =5
A boy is on a sled moving down a hill at 20 m/s, the momentum of the child is mathematically given as 5 kg.m/s, Option A.
What is the momentum of the child and sled?Question Parameter(s):
A boy is on a sled moving down a hill at 20 m/s.
The combined mass of the sled and child is 100 kg
Generally, the equation for the momentum is mathematically given as
F=ma
Therefore
x=100/20
x=5 kg.m/s
In conclusion, the momentum
x=5 kg.m/s
Read more about momentum
https://brainly.com/question/7538238
#SPJ2
Martin makes $280 a week. If 1/14 of his weekly salary is withheld for federal government taxes and
1/10 of his weekly salary is withheld for state taxes, how much money does Martin take home?
Answer:
$232
Step-by-step explanation:
1/14 of 280 is $20 and 1/10 of 280 is $28
232 - (20+28) = 232
Is the relation shown in the table a function? Use the graph and justify your answer.
Answer:
Yes it is
Step-by-step explanation:
Answer:
idefk
Step-by-step explanation:
You have vials containing 250 milligrams of aminophylline in 10 milliliters. How many milliliters are required to administer 300 milligrams? options: 10 milliliters 12 milliliters 15 milliliters 25 milliliters
Answer:
Answer: 12 milliliters
Step-by-step explanation:
Proportions
Each vial contains 250 milligrams of aminophylline in 10 milliliters. This means the concentration of aminophylline in the vials is 250/10 = 25 milligrams/milliliter.
To administer 300 milligrams of aminophylline, we need to find the number of milliliters according to the concentration calculated above.
If each milliliter adds up to 25 milligrams, then to have 300 milligrams, 300/25 = 12 milliliters of aminophylline vials are needed.
Answer: 12 milliliters
(-3/4)(-4/7)(-2/5) what is the answer
Answer:
-24/140
Step-by-step explanation:
((-2)×(-4)×(-2))/(4×7×5)
-24/140
HELP a which one is it!!!!
Answer:
I think it's C
Step-by-step explanation:
On the other ones there is multiple outputs for one input.
Lisa had 4.26 in her purse. She bought some school supplies for 2.75. How much money does Lisa have ?
HELP ASAP MATH QUESTION
Answer:
1.51
Step-by-step explanation:
4.26-2.75=1.51
Answer:
1.5
Step-by-step explanation:
All you have to do is subtract 4.26 from 2.75.
PLEASE HELP!!!!!! I WILL GIVE BRAINLIST!!!!!!!!!!!
The local elementary school is creating a new playground for the students. A basketball court will take up 1/4 of the playground. A soccer field will take up another 3/8 of the new playground. How much of the playground will remain for swings and other equipment?
A) 1/3 of the playground
B)3/8 of the playground
C)5/8 of the playground
D)2/3 of the playground
Answer:
The Answer is B
Step-by-step explanation:
1/4 = 2/8
2/8 + 3/8 = 5/8
8/8 - 5/8 = 3/8
le
What is the x-interceptor y = -3x -18
in coordinates
(0,6)
(6,0) which one is it
Please help I’ll mark u
Answer:
What?
Step-by-step explanation:
Is there an attachment?
Answer:
if the slope is -3 then the answer is B
Step-by-step explanation:
The parent function f(x) = 1.5x is translated such that the function g(x) = 1.5x + 1 + 2 represents the new function. Which is the graph of g(x)?
Answer:
The answer is d on edge2020
Step-by-step explanation:
I got the answer right
Step-by-step explanation:
-zomba
Fill in the table using this function rule.
Answer:
1:-9 2:-5 3:2 4:-4
Step-by-step explanation:
The question y=mx+b is used to express the equation of a line. Which solution is a correct way to solve this equation for x in terms of y?
Answer:
The third chart of answers.
Step-by-step explanation:
The reason that the last one is correct is because using the properties of equality, you can subtract b from both sides, you can simplify, and you can divide both sides leaving you with (y-b)/m=x.
Hope this helps :)
g In a sample of 30 people, the average cost of a latte is $4.01. The standard deviation for the sample is $1.85. What is the margin of error for a 99% confidence interval
Answer:
Margin of Error = ± 0.871
Step-by-step explanation:
The formula for Margin of Error = ± z × Standard deviation /√n
Where
Standard deviation = $1.85
n = Random number of samples = 30
z = z score for 99% confidence interval = 2.58
Hence,
Margin of Error = ± 2.58 × 1.85/√30
Margin of Error = ± 0.871426589
Approximately = ± 0.871
there are 6 marbles in a bag. 4 were red and 2 were blue what is the probability that you would pull out a blue marble?
A= 1 out of 6
B= 2 out of 4
C= 2 out of 6
D= 4 out of 6
Answer:
2 out of 6
Step-by-step explanation:
P( blue marble) = number of blue marbles / total marbles
= 2 /6
Answer: C
Step-by-step explanation: the reason it is c is because the total of marbles is six and their is only 2 marbles so it would be 2 out of 6 you could also use process of elimination
Test
meida
<
6 of 13
Find the length of segment DF.
B
2
3
1.34
А
4
D
Submit
Answer:
[tex]DF = 4[/tex]
Step-by-step explanation:
See attachment for proper question
From the attachment, triangle DEF is an image of ABC
By comparing the position of the angles, the following sides are similar
AB to DE
AC to DF
BC to EF
By dividing the similar sides, we calculate the scale of dilation.
[tex]Scale = \frac{DE}{AB}[/tex]
[tex]Scale = \frac{8}{4}[/tex]
[tex]Scale = 2[/tex]
To calculate DF, we make use of sides AC and DF as comparison:
[tex]Scale = \frac{DF}{AC}[/tex]
Substitute 2 for Scale and 2 for AC
[tex]2= \frac{DF}{2}[/tex]
Make DF the subject
[tex]DF = 2 * 2[/tex]
[tex]DF = 4[/tex]
I need answers now graphing help now
Answer:
its a right triangle
Step-by-step explanation:
Find the equation of a line that passes through (2,−3), and that is parallel to 5 + = −2.
Answer:
the first one is the correct answer
Step-by-step explanation:
Try using a graphing calculator for some of these types of questions, it's very helpful
