I assume you're asked to solve
4 cos²(x) - 7 cos(x) + 3 = 0
Factor the left side:
(4 cos(x) - 3) (cos(x) - 1) = 0
Then either
4 cos(x) - 3 = 0 or cos(x) - 1 = 0
cos(x) = 3/4 or cos(x) = 1
From the first case, we get
x = cos⁻¹(3/4) + 2nπ or x = -cos⁻¹(3/4) + 2nπ
and from the second,
x = nπ
where n is any integer.
What is the fifth term in the sequence 17.3, 34.3, 51.3, 68.3...?
A 77.7
B 85
C 85.3
D 89.7
The fifth term in the sequence would be C.
Please help!!! Express the function graphed on the axes below as a piecewise function
9514 1404 393
Answer:
[tex]f(x)=\left\{\begin{array}{rl}-x-1,&\text{for $-6\le x<2$}}\\-\dfrac{1}{2}x-4,&\text{for $2<x<6$}\end{array}\right.[/tex]
Step-by-step explanation:
The upper piece of the graph is defined on the interval -6 ≤ x < 2. It has a slope of -1 and a y-intercept of -1, so its equation is y = -x-1.
The lower piece of the graph is defined on the interval 2 < x < 6. It has a slope of -1/2 and would cross the y-axis at -4 if it were extended. Its equation is ...
y = -1/2x -4
The two pieces together give the function ...
[tex]f(x)=\left\{\begin{array}{rl}-x-1,&\text{for $-6\le x<2$}}\\-\dfrac{1}{2}x-4,&\text{for $2<x<6$}\end{array}\right.[/tex]
literally putting this at 45 points. can someone help me please
Answer:
15.4%Step-by-step explanation:
Volume of a cylinder:
V = πr²hContainer A
r = 10 ft, h = 11 ftV = π*10²*11 = 1100π ftContainer B
r = 7 ft, h = 19 ftV = π*7²*19 = 931π ft²After pump out the container A has the level of:
1100π - 931π = 169πLevel % in the container A:
169π/1100π×100% = 15.4% rounded to the nearest tenthSolve for x. 2.5/10 = x/35
Answer:
x is 8.75
Step-by-step explanation:
cross multiplying
10x = 35(2.5)
10x = 87.5
x = 8.75
what is the surface area of a cube with a base edge of 8 mm
Answer:
8 mm
Step-by-step explanation:
A=3.84×10-4m²
Chandra bowled five games. Her scores were 89, 97, 112, 104, and 113. What is her mean score for the five games?
Answer:
103
Step-by-step explanation:
89+97+112+104+113=515
515÷5=103
103 is the final answer, hoped this helped.
easy math please help
Answer:a and d
Step-by-step explanation:
Lilian purchased a violin form smash music stores. It regularly sold for $670, but wa son slaw for 10% off. She also had to pay 8% sales tax. She bought it on the installment plan and paid 15% of the total cost with tax as a down payment. Her payments were $58 per month for one year.
Complete question :
Lilian purchased a violin form smash music stores. It regularly sold for $670, but wa son slaw for 10% off. She also had to pay 8% sales tax. She bought it on the installment plan and paid 15% of the total cost with tax as a down payment. Her payments were $58 per month for one year. What is her sales tax?
Answer:
$48.24
Step-by-step explanation:
Given that:
Sales price = 670
Discount = 10% off
Sales tax = 8%
Discounted price = (1 - 0.1) * 670
Discounted price = 0.9 * 670 = $603
Hence, purchase price = $603
Hence, sales tax = 8% of purchase price
8% of $603
0.08 * 603 = $48.24
Write the equation for the line
Answer:
y=4x+3
Step-by-step explanation:
The slope is positive 4 and the y intercept is 3
Answer:
y = 4x + 3
Step-by-step explanation:
y = mx + b
m is the slope and b is the y-intercept
The slope is how much units it goes up/down while how much units it goes left/right from one point to the other. So two points we'll use for reference is (-1, -1) and (0, 3). You want to make sure the points u choose are whole numbers cause they're easier to tell. So the distance between those 2 points if it goes to the right once and goes up 4 units. Left/right is x and up/down is y, y/x is how u write the slope. So it's 4/1 which is just 4
The y-intercept is just where the line intercepts on the y-axis. The line goes through the point 3 on the y-axis, so it's 3
Input the numbers in the equation and it's y = 4x + 3
Simplify.
(22-7y+6)-(-4y2 + 3y+5)
Answer:
4y^2 - 10y + 23
Step-by-step explanation:
Answer:
Step-by-step explanation:
(22 - 7y + 6) - (-4y² + 3y + 5) = 22 + -7y + 6 + 4y² - 3y - 5
= 22 + 6 - 5 - 7y - 3y + 4y²
= 23 - 10y + 4y²
I'LL MARK BRAINLEST JUST PLS HELP ME
Answer:
B
Step-by-step explanation:
Answer:
30.96 mm²
Step-by-step explanation:
area of square: side×side
12×12= 144 mm²
area of circle: πr²
π×6²= 113.01 mm²
area of shaded region: 144-113.01 = 30.96 mm²
hope it helps!!!
True or False: A prime number has exactly 2 factors
O True
O False
Answer:
I’d say false
Step-by-step explanation:
BRAINLIEST: Solve for x: x^3=25
Answer: decimal form is
2.92401773 or 2.92
Step-by-step explanation:
Answer:okay so it would be [tex]\sqrt{x} 25[/tex] without the little x though
Step-by-step explanation:
what is an equivalent fraction to 9/28 ?
Answer:
18/56
Step-by-step explanation:
Answer:
18/56
Step-by-step explanation:
9/28= 18/56
for the top 1 I multiplied the numerator and denominator by 2 and then when you simplify it you get 9/28
Which equation represents the graphed function
Please Guys can you help me
Answer:
125
Step-by-step explanation:
because is it's fith it would have gone up to 125 because there is 4 25 in 100
desribe what the value of 3/7 as a decimals would look like.
PLEASE HELP WILL GIVE 15 POINTS!!!!
Answer:
130
Step-by-step explanation:
56 = 17n - 29
what is the value of n
Answer:
n=5
Step-by-step explanation:
take 29 add to 56 then divided by 17
Answer:
5
Step-by-step explanation:
56 = 17n - 29
-17n = -29 - 56 [remember: when u transfer a positive number it becomes negative and when u transfer a negative number it becomes positive]
-17n = -85
n = -85/-17
n = 5
hope u understood^^
An amusement park has two types of season passes. Plan 1 charges a one-time fee of $175.00 for admission plus $8.00 every trip for parking
Plan 2 charges a one-time fee of $125.00 for parking plus $13.00 every trip for admission. For what number of trips is the cost of these plans
the same?
Answer:
The answer is stan twice
Step-by-step explanation:
simple
Answer:
x=10
Step-by-step explanation:
can someone plz help me answer this asap
due today plz
8+x−6−5=8x+1−3x
400 students went on a field trip. Six buses were filled and 34 students traveled in cars. How many students were in each bus? HELP PLEASE 40 POINTS
Answer:
61
Step-by-step explanation:
first subtract the 34 students that went with a car then divide 366 ÷ 6=61
400-34=366
366÷ 6=61
Hope this helps :)
bob and jack both have $20 dollars the put all the money on a table so it = $40 jack buys the 40 dollars for $30 bob and jack both made a profit of $10
TRUE OR FALSE
The new Play Station 5 is price at 500$. For Christmas, it is priced at 420$. What is the percent change?
THIS IS STATEMENT AND REASON PLSS HELP!
Answer:
Line FH is the same as FK
Step-by-step explanation:
The triangle on the left is the same on the right, but inverted. This is proved because lines eh equals gk and angle e and g are the same.
Answer:
line fh is the same as fk
How many solutions does 4-3x=-4+3x
Answer:
no
Step-by-step explanation:
Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of jocelyns estimate?
Answer:
12%
Step-by-step explanation:
So 5.5 to 5.62 is .12
Then calculate the difference of 5.5 *.12=0.66
Then do “0.66 is what percent of 5.5?”
The answer is 12%
Thank you for reading, and mark this brainliest
Will mark brainliest
Answer: Desmos will answer this question for you :) just input the functions
Step-by-step explanation:
PLZ HELP THAI IS DUE IN AN HOUR
t to the second power - 12w ÷ x
t=8
w=1/2
x=3
Answer:
62
Step-by-step explanation:
Since we know what each value of the three variables are, you can substitute each variable in the expression to get:
[tex]8^{2} -12(\frac{1}{2})[/tex] ÷ 3
Simplify to get:
64 - 6 ÷ 3
Solve the rest:
64 - 2 → 62
Answer: 62
Hope this helps! :)