To begin with, we can simplify y using the Pythagorean identity:
y = 2 cos²(x) + 3 sin²(x) + 5
y = 2 (cos²(x) + sin²(x)) + sin²(x) + 5
y = 2 + sin²(x) + 5
y = sin²(x) + 7
Next, we can further rewrite this using the half angle identity for sine:
y = (1 - cos(2x))/2 + 7
y = 15/2 - 1/2 cos(2x)
Now, since cos(x) is bounded between -1 and 1, we have
max(y) = 15/2 - 1/2×(-1) = 15/2 + 1/2 = 8
and
min(y) = 15/2 - 1/2×1 = 15/2 - 1/2 = 7
Then the sum of the maximum and minimum is 8 + 7 = 15.
64 is the product of vidya's height and 4
Answer:
16
Step-by-step explanation:
64 ÷ 4 = 16
35 344 minus 17 943 is 17 401 but to show the sum in how to get 17 401 is hard. In calculating I keep getting 22 601. please help me show how to get 17 401
Explain how confounding might be an issue with this study
Answer:
perhaps because math is a subject that builds on itself. so if you miss or dont know one key formula then it is difficult to understand the others.
math is also a subject that has many different ways to solve one thing
Chandler drives his car 20 miles round trip to work every day. How many total miles
does he drive to and from work in 5 days?
SHARK! The captain see a shark located halfway between him and the diver. Where is the shark located?
4. In the diagram, ABCD is a straight line. Calculate the values of x and y.
Answer:
x is 108° and y is 144°
Step-by-step explanation:
for x:
[tex] x + 36 \degree + 36 \degree = 180 \degree \\ \{isoceles \: triangle \: angle \: sum \} \\ x + 72 \degree = 180 \degree \\ x = 180 \degree - 72 \degree \\ x = 108 \degree[/tex]
for y:
[tex]y + 36 \degree = 180 \degree \\ \{straight \: line \: angles \} \\ y = 180\degree - 36\degree \\ y = 144\degree[/tex]
Answer:
X+36+36=180
X+72=180
X=180-72
X=108
36+BC^D=180
BC^D=180-36
BC^D=144
BC^D corresponds with y
Therefore y=144
Rewrite as a simplified fraction.
3.541
41 is repeating
If x = 3.5414141…, then 10x = 35.414141… and 1000x = 3541.414141…. Then
1000x - 10x = 3541.414141… - 35.414141…
990x = 3506
x = 3506/990 = 1753/495
9/10 divided by 3/5
Answer:
1 1/2
Step-by-step explanation:
9/10 ÷ 3/5
Copy dot flip
9/10 * 5/3
Rewriting
9/3 * 5/10
3 * 1/2
3/2
1 1/2
Answer:
3/2
Step-by-step explanation:
9/10 ÷ 3/5
~Use copy dot flip
9/10 * 5/3
~Multiply
45/30
~Simplify
3/2
Best of Luck!
This is for a mastery
Answer:b
Step-by-step explanation:
The expression 2500(1.15)t represents the value of a $2500 investment that earns 15% interest per year, compounded annually for t years. What is the value of a $2500 investment at the end of 5 years?
Answer:
$5028.4
Step-by-step explanation:
The expression for that investment will be 2500*(1.15)^t where t is in years, the value of the investment will be 2500*(1.15)^5=5028.4
simplify 1/2+1/3-1/4
Answer:
7/12
Explanation:
Here are the steps to follow:
Write down the factors for the numerator and the denominator.
Determine the largest factor that is common between the two.
Divide the numerator and denominator by the greatest common factor.
Write down the reduced fraction.
Answer:
7/12
Step-by-step explanation:
[tex] \frac{1}{3} + \frac{1}{2} = \frac{2 + 3}{6} = \frac{5}{6} - \frac{1}{4} = \frac{20 - 6}{24} = \frac{7}{12} [/tex]
2. Write in statement forms : a) p+4=15 b) 3/5= 6
Answer:
a) The sum of numbers p and 4 is 15.
Step-by-step explanation:
I'm not sure but hope it helps.
solve for u
-u + 114 = 262
PLEASE WITCHER3
Hi ;-)
[tex]-u+114=262\\\\-u=262-114\\\\-u=148 \ \ /:(-1)\\\\\huge\boxed{u=-148}[/tex]
Answer:
[tex] - u + 114 = 262 \\ u = 114 - 262 \\ u = - 148 \\ thank \: you[/tex]
WILL MARK BRAINLIEST IF CORRECT
1) alyssa has 4 less than 7 times the number of dimes (j) than jessica has which expression shows the number of dimes alyssa has.
A) 4 - 7j
B) 4J - 7
C) 7 - 4J
D: 7J - 4
Factorize: p^2+2pq+q^2-1
Answer:
have a great day
god bless you
How do I do these questions please explain everything to know
(3²)⁵
Answer:
3^10
Step-by-step explanation:
(3²)⁵
We know that a^b^c = a^(b*c)
(3²)⁵ = 3^(2*5)
= 3^10
Answer:
59,049
Step-by-step explanation:
(3^2)^5
~Use power rule
3^10
~Simplify
59,049
Best of Luck!
Plz help me answer this question
Answer:
Line A
Step-by-step explanation:
PLSSSS HELLLPPPPPPP How much would it cost to buy 3.4 pounds of Bartlett pears and 2.1 pounds of Concorde pears? Concorde pears $3 per pound Osband pears $3 per pound green Anjou pears $4 per pound Bartlett pears $2 per pound red Anjou pears $5 per pound
Answer:
$13.10
Step-by-step explanation:
Concard $3.00 2.1 $6.30
Osband $3.00
Green Anjou $4.00
Bartlett $2.00 3.4 $6.80
Red Anjou $5.00
TOTAL = $13.10
In a machine, a particular gear completes a rotation in 6 seconds. Another gear completes a rotation in 9 seconds. At a certain instant, both gears complete their rotations at exactly the same time. How many seconds will elapse before the two gears complete their rotations at exactly the same time again?
Alex had $29 in a bank account. He withdrew $13 for pizza and then $18 for a movie. How much money does Alex have left in his account?
Answer:
-12
Step-by-step explanation:
18 plus 13 is 41 29 subtracted from 41 is -12
Answer:
- $2
Step-by-step explanation:
Alex withdrew money twice, or he subtracted those amounts from the total that he had.
In this case, he withdrew $13 first, and then $18, or:
13 + 18 = 31
$31 dollars in all.
Alex had $29. Subtract the total that he withdrew from the amount he had:
29 - 31 = -2
Alex has - $2, or he owes the bank $2 with interest.
~
I need help mhm yeah need help I can’t stop cussing ( not so much tho ) so my mum got mad at me and she keeps comparing me to my cousin and saying that she’s way better than me *sigh* it just gives me no self-esteem and brings me down, makes me thinking that I’m not worth it and everything else i don’t know what to do anymore any advice? ( sorry if this is not educati)
Answer:
just a random Teenage who's been through the same thing
Step-by-step explanation:
if you really care about what your mom think I'd suggest changing some thing's about you . maybe study more or something . if you don't usually try then go ahead try harder.
but if youre doing everything right but your cousin just seem to be better then you can't do much but try to explain to her that you're trying your best
stay safe and don't do anything you'd regret
Your question is not educational, but I'll be happy to give you some advice.
From a person who has dealt with a parent comparing me to others, I completely understand how you feel. Parents do sometimes get mad at their children for misbehaving but it not acceptable whatsoever to bring them down like that. I hope you understand that no one but YOU is allowed to dictate your worth. If you can, I suggest bringing this matter up with your mother and tell her how her remarks make you feel. If you cannot do that, I suggest speaking with a school counselor, friend, relative, or teacher about this. Sometimes expressing your feelings with others is the best medicine.
Have a great day!
Hi
What is coefficient of Polynomial?
id .783 844 3157
pa s.12345
z
o
o
m
a multiplicative factor in some term of
complete the steps of the calculation to find the value of x
Answer:
99 + x = 4x
99 = 3x
x =33
.....
Use Distributive property to write the expression without parentheses !
Hi :)
-3(3a + 2) + 3
-9a -6 + 3
-9a -3
a+b in terms of a and evaluated these expressions when a = 3
Answer:
If a equals 3 then the answer should be 3b
Step-by-step explanation:
Answer:
a+b=a
or,3+b=3(a=3)
or,b=3-3
or,b=0
b=0 Ans
What is the slope of the line that
passes through these two points?
(1, -2)
(3, 4)
Remember, given two points,
(x1, yı)
(x2;Y2)
Slope
=
rise (y2-yı)
run(x2-x1)
Simplify your answer completely.
Enter
Answer:
5/2
Step-by-step explanation:
Answer:
3
Brainliest, please!
Step-by-step explanation:
(1, -2)(3, 4)
y: +6
x: +2
y/x = 6/2 = 3
Choose the postulate that is NOT represented in the diagram.
A
If two lines intersect, they intersect in exactly one point.
B
Given a point on a plane, there is one and only one line perpendicular to the plane through that point.
С
If two points lie in a plane, then the line containing those points will also lie in the plane. D
if two planes intersect, they intersect in exactly one line.
HELP ASAP will give BRAINLIEST
Hey there! I'm happy to help!
The question tells us that m∠JKL is 54. We see from the diagram that this is the combination of the angles m∠JKM and m∠MKL. So, we can combine their values, which are equal to 54 to find x.
13x+1+5x+4=54
We combine like terms
18x+5=54
We subtract 5 from both sides.
18x=49
We divide both sides by 18.
x=2.7222222....
Now, we want to find the measure of m∠MKL. We plug our x value into the value of this angle and evaluate.
5(2.722....)+4=17.61111....... or 17 11/18.
Have a wonderful day and keep on learning! :D
If 12 + 2 = 14, then 14 = 12 + 2 true or false
TRUE TRUE TRUE TRUE TRUE
Answer:
true
Step-by-step explanation:12+2=14 that is simple distributive property
Solve 1/2=x+7/2-1 1/3
Answer:x 2/3
Step-by-step explanation: