Answer/Step-by-step explanation:
Factor this. GCF=2
2(2cos2x+cos x-1)=0
2(2cos x -1)(cos x+1)=0 Set each factor equal to zero and solve
2cos x -1=0 Add 1 to both sides
2cos x =1 Divide by 2
cos x =1/2
x=π/3
x=5π/3
cos x+1=0 Subtract 1 from both sides
cos x=-1
x = π
Given the function rule f(x) = x2 - 5x + 1, what is the output of f(-3)? (1 point)
7
-5
25
5
5. A length of rope is 20m long. If I cut it into 10 equal length pieces, how long is
each piece? *
what is given
Answer:
each piece is = 3 m long
Step-by-step explanation:
20 /10= 2
Consider the linear function y = 5x + 12 and the linear function represented by the table of values below.
Answer:
(a) and (f)
Step-by-step explanation:
Given
[tex]y = 5x + 12[/tex]
See attachment for table and options
First, we calculate the slope of the table
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Using:
[tex](x_1,y_1) = (2,29)[/tex]
[tex](x_1,y_1) = (4,53)\\[/tex]
So, we have:
[tex]m = \frac{53- 29}{4 - 2}[/tex]
[tex]m = \frac{24}{2}[/tex]
[tex]m = 12[/tex]
The equation is then calculated using:
[tex]y = m(x -x_1) + y_1[/tex]
This gives:
[tex]y = 12*(x -2) + 29[/tex]
[tex]y = 12x -24 + 29[/tex]
[tex]y = 12x+5[/tex]
So, we have:
[tex]y = 5x + 12[/tex] --- The given equation
and
[tex]y = 12x+5[/tex] --- The equation of the table
An equation is represented as:
[tex]y = mx + b[/tex]
Where:
m = slope or rate of change
b = y intercept
So, for the given equation: [tex]y = 5x + 12[/tex]
Rate of change = 5
y intercept = 12
For the table: [tex]y = 12x+5[/tex]
Rate of change = 12
y intercept = 5
In conclusion:
(a) [tex]y = 12x+5[/tex] has the greater rate of change:
and
(f) [tex]y = 5x + 12[/tex] has the greater y intercept
(b) 33 is 75% of what number?
Plssssssssss help because i need to go to basketball practice
Answer:
The answer is a= 5
Step-by-step explanation:
hope this helps
Answer: a=5
Step-by-step explanation: 3(5)=15
go back to practice :)
a moving box in the shape of a right rectangular prism has a base area of 5 5/8 ft² and a height of 3 1/5 ft what is the volume of the moving box
Answer:
18 ft^3
Step-by-step explanation:
The volume of a right rectangular prism is the area of the base multiplied by the height.
V = Ah
V = (5 5/8 ft^2) * (3 1/5 ft)
First, we convert the mixed numerals into fractions.
V = 45/8 ft^2 * 16/5 ft
Now we multiply the fractions.
V = (45 * 16)/(8 * 5) ft^3
Factor 45 into 5 * 9. Factor 16 into 2 * 8.
V = (5 * 9 * 2 * 8)/(8 * 5) ft^3
We can divide the numerator and denominator by 5 and by 8 before doing the multiplications.
V = (9 * 2)/1 ft^3
V = 18 ft^3
Question #4
The radius of a circle is 12 inches.
Enter the circumference of the circle, in inches. Round your answer
to the nearest hundredth.
Answer:
80.11 inches
Step-by-step explanation:
The formula to finding the circumference of a circle is:
C = 2πr (C = circumference, π = pi, r = radius)
Replace r with the radius:
C = 2π(12.75)
Now, multiply 2 times pi, then multiply that by 12.75, and the answer rounded
to the nearest hundredth is 80.11
What is the equation for the line in slope intercept form
Answer:
y = 12x + 6
Step-by-step explanation:
y-intercept (c)= 6
m= 12
therefore, y=mx+c
y=12x + 6
12v+4=-64 please include steps
Answer:
17.3
Step-by-step explanation:
Answer:
v=-17/3
Step-by-step explanation:
12v+4=-64
subtracting 4 from both sides we get
12v=-68
dividing by 12 on both sides we get
v=-68/12
simplifying we get
v=-17/3
hope that helps if it does please mark my answer as brainliest
You need 4 ounces of cooked sausage per person once the raw sausage is cooked its yields50% how many pounds of raw sausage do you need to make to feed 50 people
Step-by-step explanation:
step 1. 4/.5 x 50 = 400 ounces needed
step 2. 400 ounces (1 lb/16 oz) = 25 lbs.
25 pounds of raw sausages are required to feed 50 people.
Cooked sausage per person = 4 ounces
Amount of cooked sausage required =
(Number of ounce per person × number of persons)
(4 × 50) = 200 ounces of cooked sausage
Yield of sausage once cooked = 50% of raw of sausage
Hence, to obtain 200 ounces of cooked sausage,
Then ; the amount of raw sausage required will be :
(200 ounces) ÷ 50% = 200 ÷ 0.5 = 400 ounces
Converting ounces to pounds :
1 ounce = 0.0625 pounds
400 ounce = (400 × 0.0625) = 25 pounds
Hence, 25 pounds of raw sausages are required
Learn more : https://brainly.com/question/24397941
Tripp swims 50 laps a day in
hopes of becoming a collegiate
swimmer. Write an equation to
represent y, the total number of
laps Tripp has swam after x
days.
Answer:
y = 50x
Step-by-step explanation:
Hya think of a number "m" . She square it, add "y" to the answer and then subtract 7 from it. The final answer is "A". 1) Derive the formula for A 2) Using the formula, find the value of A when m= 3 and
Given, to find A we have to :
square mAdd y to m²Subtract 7 from m² + yFrom the question, the following equation can be formed :
[tex] =\tt A = {m}^{2} + y - 7[/tex]
Therefore, the formula for finding A = m² + y - 7
Solution (2) :The value of A we can derive from the formula is :
[tex] =\tt A = {m}^{2} + y - 7[/tex]
Value of m = 3 (given)
Which means :
[tex] =\tt A = {3}^{2} + y - 7[/tex]
[tex] =\tt \: A = 9 + y - 7[/tex]
[tex] =\tt A = 9 - 7 + y[/tex]
[tex]\color{plum} =\tt A = 2 + y[/tex]
Thus, the value of A = 2+y
Therefore, the value of A = 2+y
Hello, I need help!!!!?
The distance from Rodney's house to the park is 100 meters. If he walks to the park and back to his house, how far will he have walked, in
centimeters?
O A 200 cm
OB. 10,000 cm
OC. 20,000 cm
D. 100,000 cm
Answer:
c. 20,000cm
Step-by-step explanation:
from is house to the park is 100m
from the park back to his house is another 100m
100m+100m=200m
1m = 100cm
200m = xcm
cross multiply
xcm = 200×100
xcm= 20,000cm
1/2 to the 2nd power plus 1/2 to the 2nd power
Answer:
1/2
Step-by-step explanation:
([tex]\frac{1}{2}[/tex])² + ([tex]\frac{1}{2}[/tex])² = 1/4 + 1/4 = 2/4 or 1/2
Identify the sampling technique used. Thirty-five sophomores, 24 juniors and 25 seniors are randomly selected from 388 sophomores, 418 juniors and 573 seniors at a certain high school. systematic random convenience O cluster stratified
It takes Steven 12.25 minutes to run 1.4 miles. At this rate. how long will it take him to run 2.6 miles?
The speed is the distance covered by an object at a particular time. The time it will take for Steven to cover a distance of 2.6 miles is 22.75 minutes.
What is speed?The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
Speed = Distance / Time
Given that it takes Steven 12.25 minutes to run 1.4 miles. Therefore, the rate or speed at which Steven runs is,
Speed = Distance / Time
Speed of Steve = 1.4 miles / 12.25 minutes
Now, if at the same rate Steven runs, then the time it will take for Steven to run a distance of 2.6 miles is,
Speed = Distance / Time
Time = Distance / Speed
Time = 2.6 miles / (1.4 miles / 12.25 minutes)
Time = (2.6 miles × 12.25 minutes)/1.4 miles
Time = 22.75 minutes
Hence, the time it will take for Steven to cover a distance of 2.6 miles is 22.75 minutes.
Learn more about Speed here:
https://brainly.com/question/15100898
#SPJ2
To test the effectiveness of an exercise program in reducing high blood pressure, 15 participants had their blood pressures recorded before beginning the program and again after completing the program. The difference (after minus before) in blood pressure was recorded for each participant, and the sample mean difference was calculated. A hypothesis test will be conducted to investigate whether there is convincing statistical evidence for a reduction in blood pressure for all who complete the program. Which of the following is the correct set of hypotheses?
A. H0 : bar xD = 0
Ha : bar xD is not equal to 0
B. H0 : bar xD = 0
Ha : bar xD > 0
C. H0 : mu D = 0
Ha : mu D is not equal to 0
D. H0 : mu D = 0
Ha : mu D > 0
E. H0 : mu D = 0
Ha : mu d < 0
Answer:
E.
H0 : mu D = 0
Ha : mu d < 0
Step-by-step explanation:
The hypothesis is to test if there is a reduction in blood pressure for those who complete the program, this means if the mean difference in blood pressure (that is after - before) is less than 0. Here, the hypothesis is the alternative side while the opposite, that is, there is no difference in blood pressure before and after is the null.
This means :
H0 : μD = 0
Ha : μD < 0
You can use the definitions for null and alternate hypotheses
The correct set of hypothesis is given by:
Option E. [tex]H_0: \mu_D = 0[/tex]
[tex]H_a: \mu_D < 0[/tex]
How to form the hypotheses?There are two hypotheses. First one is called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test. The hypothesis which we put against null hypothesis is alternate hypothesis.
Null hypothesis is the one which researchers try to disprove.
How to find the correct set of hypothesis for the given situation?Since the test is to test the effectiveness of the exercise program, thus the wish of the tester is to get the result that effectiveness is there. This will be the alternate hypothesis and the null hypothesis will be that there is no difference in the blood pressure before and after the exercise. Thus, we will test against the null hypothesis.
Since the evidence is to be found for all of the people who completed the program, thus it is hypothesis about population perimeter. The average blood pressure difference of the population is denoted by [tex]\mu_D[/tex] and that of the sample is denoted by [tex]\overline{x}_D[/tex]
Thus, we have:
Null hypothesis = the difference in average blood pressure before and after the program of the population is not changed(thus 0 is the difference) = [tex]H_0: \mu_D = 0[/tex]
Alternate hypothesis = the difference in average blood pressure is reduced(since the test is for seeing if the blood pressure is reduced or not) = [tex]H_a: \mu_D < 0[/tex]
Thus,
The correct set of hypothesis is given by:
Option E. [tex]H_0: \mu_D = 0[/tex]
[tex]H_a: \mu_D < 0[/tex]
Learn more about null and alternative hypothesis here:
https://brainly.com/question/18831983
WILL MARK BRAINLIEST!!!
PLEASE HELP!
Using the distributive property of multiplication over addition, we can factor as in xyx(xy).
Use the distributive property and other multiplication properties to factor each of the following expressions.
a. xy+y^2=
b. xy+x=
c. a^2b+ab^2
a. xy + [tex]y^{2}[/tex] = y ( x + y)
b. xy + x = x(y + 1)
c. [tex]a^{2b} + ab^{2}[/tex] = a ( [tex]a^{2b-1}[/tex] + [tex]b^{2}[/tex])
2. The rates of currency exchange published in the newspaper on a certain day showed that 12 pounds co
be exchanged for 96 dollars. How many dollars could be obtained for 102 pounds?
[2.5
CURRENCY URANG
Answer:
Step-by-step explanation:
Your answer
816 dollars
Mark it as Brainlist answer. Follow me.
If p = 6 and q = 7, what is the value of 2pq?
Ο Α. 42
O B. 126
0 C. 84
OD. 72
Answer:
C. 84
Step-by-step explanation:
2 x 6 x 7 =
12 x 7 =
84
Hope that helps!
Match the event with the most appropriate probability word: The roll
a standard fair dice will show the square root of 49.
Impossible
Unlikely
Certain
Evens
Likely
Other:
Answer:
Impossible
Step-by-step explanation:
Impossible is the answer as the root of 49 is 7 and dice has numbers up till six only
juan dimes received a single payment loan from his loan for $4,000. he agreed to repay the loan in 90 days at an interest rate of 8.5% exact interest. what is the maturity value of his loan when he pays it back in 90 days. 
$83.84
$4,085.00
$4,083.84
$85.00
9514 1404 393
Answer:
(c) $4,083.84
Step-by-step explanation:
The amount due is ...
A = P(1 +rt)
where P is the amount borrowed, r is the annual rate, and t is the number of years. For "exact interest", we use 365 days in a year, so the number of years is 90/365.
A = $4000(1 + 0.085×90/365) ≈ $4083.84
Juan's loan will have a value of $4083.84 at maturity.
Answer:
4008.5
Step-by-step explanation:
Please help, ill give brainiest
A penny is dropped from the top of a new
building. Its height in feet can be modeled by
the equation y = 256 − 16x2, where x is the
time in seconds since the penny was dropped.
How long does it take for the penny to reach
the ground?
Answer:
4? I could be wrong. Sorry.
Step-by-step explanation:
−3xy ^5 (8y) Simplified
y = -2x in standard form
Answer:
2x+y=0
Step-by-step explanation:
Complete the function table,
then list the domain of the function
Domain
What’s the next numbers ?
Answer:
f(x)=x-2
f(2)=2-2=0
f(3)=3-2=1
you only have attach the number to x
Answers:
Second row: 0Third row: 3-2 and 1====================================================
Explanation:
The first column is the list of x values we plug into the function. The second column describes what happens to those x inputs. Namely, we subtract off 2. In the first row, it shows 0-2 after replacing x with 0. This leads to the result of -2 since 0-2 = -2.
In the second row, we have the input x = 2 turn x-2 into 2-2 = 0. So that's why 0 goes in the blank for the second row.
In the third row, we have x-2 = 3-2 = 1. So we'll have 3-2 go in the first blank of row 3, and the value 1 go in the second blank of this same row.
a circle with the diameter of 40 inches. what is the area?
Answer:
A= 1256
Step-by-step explanation:
The formula for area of a circle is [tex]A=\pi r^{2}[/tex]
1. Diameter is DOUBLE of radius, so the diameter must be divided by 2. 40/2 = 20.
2. Then, plug in the values into the area formula. A= 3.14[tex](20^{2})[/tex]
3. Solve. A= 1256. (Remember that 20 squared is 20x20)
Fresh Mart buys a bushel of apples for $3.50 and sells it for $12.50. What is the
percent of increase in price? Round to the nearest whole number. What is the
dollar amount of Fresh Mart's profit?
Answer:
12%
Step-by-step explanation:
Answer:
Step-by-step explanation:
x% of 3.50 = 12.50
x% = 12.50/3.50 ≅ 3.57 = 357%
price increased by 357%
profit = 12.50 - 3.50 = $9
Find volume of a 6mi sphere
