If you mean to find 4 cos(2a), then recall the double angle identity for cosine:
cos(2x) = 2 cos²(x) - 1
so that
4 cos(2a) = 4 (2 cos²(x) - 1) = 4 (√3 - 1)
Evaluate
--5a + 2b – 6c when a = -6, b=1, and c= -2.5
Evaluate and solve for the variable
7=5b
Simplify:
3(8) 0 • (3) –2
Answer:
-2
Step-by-step explanation:
!&÷×\÷\*÷*=*=*3*÷*÷*÷8÷*8
The simplification of the given expression is -2.
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
We are given the expression as;
3(8) 0 • (3) –2
We need to simiplify this expression;
3(8) 0 • (3) –2
24(0) . 3 - 2
0-2
-2
Therefore, the simplification of the given expression is -2.
Learn more about expression here;
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Find the slope of regular AB, and make sure you reduce the fraction to simpelist form
Which set of number includes only intergers
Answer:
{-10, -7, 0, 98, 145}
Step-by-step explanation:
An integer is whole numbers and their opposites, doesn't have to be written as a fraction.
{-3, 0, 5/6, 5, 45} 5/6 is not an integer{-9, -3, 0, 5.7, 7.8} 5.7 and 7.8 are not an integer{-3, -2 4/5, 5, 7, 53} 2 4/5 is not an integer{-10, -7, 0, 98, 145} all are integers.The editors of a local
newspaper went to lunch to
celebrate birthdays. The
lunch costs $17.8.25 and they
left a 15% tip. What was the
cost of the meal?
Answer:
$111.52
Step-by-step explanation:
You have to divide your total amount by 1.15 and that will give you your answer. To check your work you can add your answer and 15% of your answer together. {111.52+(111.52x0.15)=128.25}
need help with this problem it’s math so if you know math come on in
Answer:
The line is super close to 15 or 20. So one of those for sure
Step-by-step explanation:
Answer: its got to be 15 because the line isn't on 20
Step-by-step explanation:
I NEED THIS ASAP I HAVE TROUBLE WITH IT PLEASEEEEEEEEEEE!!!!!!!!
WORTH 25 POINTS !!!!!!!!!
SHOW ALL WORK FOR EXTRA POINTS PLSSSSSSS!!!!!!!
Mr . williams has a piece of rope that is 22.5 meters long . he wants to cut it into
pieces that are 1.25 meter long . how many pieces of rope will he have?
Answer:
He can make 18 pieces. Observe:
22.5/1.25=18
Step-by-step explanation:
Answer:
18 pieces
Step-by-step explanation:
22.5/1.25=18
Hope this helps :)
Please show your work.
(x^2 + 9x - 3) + (5x^2 - 7x - 4) + (2x^3 + x + 1)=
A map of California has a scale factor of 1 inch = 16 miles. The distance on the map from Riverside to Chula Vista is 3.5 inches. How far are the two cities in real life?
Answer:
56 miles
Step-by-step explanation:
An equilateral triangle has a side length of 1.4x + 2 inches. A regular hexagon has a side length of 0.5x + 2 inches. The perimeters are equal. What is the side length of the triangle? What is the side length of the hexagon? Show your work.
Answer:
9 inches; 4.5 inches.
Step-by-step explanation:
Given the following data;
Length of sides of the equilateral triangle = 1.4x + 2 inches.
Length of sides of the hexagon = 0.5x + 2 inches.
We know that the perimeter of a hexagon is given by the formula;
P = 6 * length of sides
Substituting into the equation, we have;
P = 6*(0.5x + 2)
P = 3x + 12
Perimeter of an equilateral triangle is given by the formula;
P = 3 * length of sides
Substituting into the equation, we have;
P = 3(1.4x + 2)
P = 4.2x + 6
Since perimeter of hexagon = perimeter of equilateral triangle. Therefore;
3x + 12 = 4.2x + 6
Rearranging the equation, we have;
12 - 6 = 4.2x - 3x
6 = 1.2x
x = 6/1.2
x = 5
I. To find the length of each sides of the equilateral triangle;
Length of a side = 1.4x + 2
Substituting the value of "x" into the equation, we have;
Length of sides = 1.4*(5) + 2
Length of sides = 7 + 2
Length of sides = 9 inches.
II. To find the length of each sides of the hexagon;
Length of sides = 0.5x + 2
Substituting the value of "x" into the equation, we have;
Length of sides = 0.5*(5) + 2
Length of sides = 2.5 + 2
Length of sides = 4.5 inches.
The side length of the equilateral triangle 9 inches.
The side length of the hexagon 4.5 inches.
The side length of the equilateral triangle = 1.4x + 2
So, the perimeter = 3(1.4x + 2) = 4.2x + 6.
The side length of the hexagon = 0.5x + 2
So, the perimeter = 6(0.5x + 2) = 3x + 12.
Given tha the perimeters are equal.
So,
[tex]4.2x+6=3x+12\\4.2x-3x=12-6\\1.2x=6\\x=5[/tex]
Hence,
The side length of the equilateral triangle = 1.4x + 2 = 1.4(5) + 2 = 9
The side length of the hexagon = 0.5x + 2 = 0.5(5) + 2 = 4.5
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Can you help me please
Answer:
f(-4)=3(4)^2-5(4)
16*3-20
48-20
f(-4)=28
Parker grew
2 1/2 inches each year for the past 3 years. How many inches total has Parker grown in the past 3
years?
Answer:
it will be 7 and 1/2
Step-by-step explanation:
2 and 1/2 x 3=7 and 1/2
True or False
1. We find the x-intercepts of a function fby evaluating f(0).
2. The solutions of a function are the first coordinates of the
x-intercepts of the function.
3. We can use completing the square to solve any quadratic equation.
4. The function f(x)=-3(x+4)2-5 has a maximum value.
can someone please help me? I'm really confused and I don't know how to do this.
Answer:
B
Step-by-step explanation:
Because they took the correct steps to answer the equation.They also got the right answer (-2).
At the begining they added 4 to both sides (to cancel out the 4)
C would be wrong because they subtracted 4 from a negative four and this does NOT cancel it out.
Have a Supercalifragilisticexpialidocious day, I hope you like my explination. If you do please give rating or brainliest :)
3m + 3
m= -7
A: -18
B: 24
c: -12
Answer:
Step-by-step explanation:ambient temperatures. This tape withstands a temperature range of 32 to 356 ° F (0 to 180 °C). ... 3M™ PTFE Film Electrical Tape 62, 3/8 in x 36 yd, 24 Rolls/ Case. Part Number 62 ... 3M 60 PTFE Film Tape B. 1 of 1. 3M 60 PTFE ... 32.9 m. Overall Width (Imperial). 0.375 in. Overall Width (Metric). 9.53 mm. Product Color.
Wait times for a bus follow a uniform distribution over the interval 0 to 10 minutes. Determine the probability that a person will wait between 4.0 mi
Answer:
P(x=4) = 0.4
Step-by-step explanation:
The density function of a continuous r.v is called a uniform distribution when between the end points any two sub intervals of the same length containing X, have the same probability.
f(x)= 1/ b-a a≤ x≤ b
Here a = 0 and b= 10 but we want to know the probability of wait time between 4 minutes and 10 minutes
P (X=x) = (x-a) 1/(b-a)
P(x=4) = (4-0) 1/ 10-0
= 4/10= 0.4
Last week Len spent $18 to bowl 4 games. This week he spent $27 to bowl 6 games. Len owns his bowling ball and shoes, so he only has to pay for each game that he bowls. If each of these bowling games costs the same amount of money, what is the constant of proportionality between the money spent and the number of games played?
Answer:
$4.50/ g - Games
Step-by-step explanation:
$18
------------- = $4.50/g
4 g
$27
------- = $4.50/g
6 g
C(x) = ($4.50/game)x, where x is the # of games played.
Find x
13x+5)
(6x – 14)°
y + 8)
Answer:
X=21
Step-by-step explanation:
3x+5+6x-14=180
9x-9=180
9x=180+9
9x=189
x=21
Ava is making Vampire punch for the Halloween party. The recipe makes 12 servings and calls for 3/5 cups of cranberry juice. how much cranberry juice will she need for 15 servings
Answer:
15/20 cups of cranberry juice
Step-by-step explanation:
3/5 cranberry juice makes 12
12/2=6
3/5= 0.3
6/2=3
0.3/2= 0.15
0.15 = 3/20
3/20 cranberry juice makes 3 servings.
add 3 and 12 to make 15 servings, add 3/5 and 3/20.
3/5= 12/20
12/20 + 3/20 = 15/20 cups of cranberry juice
Find the volume of a right circular cone that has a height of 15.2 cm and a base with a diameter of 11.9 cm. Round your answer to the nearest tenth of a cubic centimeter.
9514 1404 393
Answer:
563.5 cm³
Step-by-step explanation:
Use the formula for the volume of a cone:
V = (1/3)πr²h
Recognize that the radius is half the diameter:
r = (11.9 cm)/2 = 5.95 cm
V = (1/3)π(5.95 cm)²(15.2 cm) ≈ 563.516 cm³
The volume of the cone is about 563.5 cm³.
_____
Additional comment
If you use 3.14 for the value of π, then the result will be 563.2 cm³.
[tex]2s+5\geq 49[/tex]
Answer:
s≥22
Step-by-step explanation:
49-5
2s≥44
divide both sides of the inequality by 2
so 2s≥44 then turn into s≥22
Which of the following is NOT equivalent to the other three?
y + 2 = -3(x - 4). What is the slope?
Answer:
m=-3
Step-by-step explanation:
You are doing marketing research to find out the purchasing potential of students in the community based on the latest senses there are 9860 students in a population of 602400 people what percent of the total population is students
Answer:
In statistics, scientists or researchers gather data to represent the existing number of population audience that they should target. Statisticians usually lump these data and present them in terms of mean, median or mode. To be more accurate, percentage could also be used. Percentage is generally defined as the number of a specific parameter per 100 units of the whole. In this case, the percentage is defined as the number of students per 100 people of the whole population. The working equation to be used is:
Percentage = Number of Students/Number of Population * 100%
Percentage = 9,860/62,400 * 100
Percentage = 15.8%
Hence, out of the total population, 15.8% are students.
or
Number of students = 9860
Total Population = 62,400
Percentage of students in the population can be calculated by:
(Number of students/Total population) x 100%
Using the values, we get:
Percentage of students = (9860/62400) x 100% = 15.80%
Thus, students constitute 15.80% of the entire population
HELPPPPPPP!!!!! PLEASE!!!!!
Answer:
B
Step-by-step explanation:
You can tell by looking at the graph that the x coordinate is 4, and the only option with an x coordinate of 4 is B
What is the value of 1 in 2.391
Answer:
0.001 (one thousandth)
Step-by-step explanation:
hope this helps
Answer:
1 thousandth
Step-by-step explanation:
2 is in the ones place, 3 is in the tenths place, 9 is in the hundredths place, 1 is in the thousandths place.
Hope it helps!
Simplify the following expression: -4(k - 7)
Answer:
-4k+28
Step-by-step explanation:
Answer:
-4k+28
Step-by-step explanation:
multiply -4k inside the parentheses
-4k x k
-4 x 7
= -4k+28
9. Solve each equation.
(1 Point)
-16 = 0.26
a.) b = -71
b.) b = -80
c.) b = -83
d.) b = -74
Answer:
b = -80
Step-by-step explanation:
-16 = 0.2b
-16/0.2 = b
-80 = b
Melissa’s family is driving out of state to her grandmother’s house. They know that it takes 20 gallons of gas to get there, and the cost of three gallons of gasoline is $10.50. How much should the family budget to make the one-way trip?
Answer: 20/3 * $10.50 = &73.5
.
HOPE THIS HELPS TOUCH THANKS PLEASEStep-by-step explanation:
Answer:
73.5$
Step-by-step explanation:
21/7=3 so 10.50*7 will give the budget
