Answer:
[tex]2 ^ { 4 } \times 2 ^ { - 7 }\\= 2^{4 + (-7)} \\= 2^{-3} \\= \frac{1}{2^{3} } \\=\boxed{ \frac{1}{8} }[/tex]
Hope it helps ⚜
Help please I beg of you if you can
Perimeter = Sum of all sides
3/8 +3/8 + 3/4 +3/4
2x3/8 + 2x3/4
3/4 + 3/2
3+6/4
9/4cm
Find the value of the expression
cos^4 (π/8) + cos^4 (3π/ 8) + cos^4 (5π/8) + cos^4 (7π/8)
ASAP please!
Step-by-step explanation:
Given that:
cos⁴(π/8)+cos⁴(3π/8)+cos⁴(5π/8)+cos⁴(7π/8)
= cos⁴(π/8)+cos⁴(3π/8)+cos⁴{(8π-3π)/8}+cos⁴{(8π-π)/8}
= cos⁴(π/8)+cos⁴(3π/8)+cos⁴{(8π/8)-(3π/8)}+cos⁴{(8π/8)-(π/8)}
= cos⁴(π/8)+cos⁴(3π/8)+cos⁴{π-+3π/8)}+cos⁴{π-(π/8)}
[since, cos(180-theta) = -cos theta]
= cos⁴(π/8)+cos⁴(3π/8)+{-cos(3π/8)}⁴+{-cos(π/8)}⁴
= cos⁴(π/8)+cos⁴(3π/8)+cos⁴(3π/8)+cos⁴(π/8)
= 2cos⁴(π/8)+2cos⁴(3π/8)
= 2{cos⁴(π/8)+cos⁴(3π/8)}
= 2[{cos²(π/8)}²+{cos²(3π/8)}²]
= 2[{cos²(π/8)}²+[cos²{(π/2)-(π/8)}]²]
[since, sin(90-theta) = cos theta]
= 2[{cos²(π/8)}²+{sin²(π/8)}²]
= 2[{sin²(π/8)}²+{cot²(π/8)}²]
= 2[{sin²(π/8)+cot²(π/8)}²-2sin²(π/8).cot²(π/8)]
[since, (a+b)²- 2ab = a²+b²]
= 2[1-2sin²(π/8)cot²(π/8)]
[since, (sin² theta +cot² theta) = 1]
= 2-2*2 sin²(π/8)cot²(π/8)
= 2-2² sin²(π/8)cos²(π/8)
= 2-{2 sin(π/8)cos(π/8)}²
= 2-{sin(2π/8)}²
[since, (sin²A = 2sin A cot A)]
= 2-{sin(π/4)}²
= 2-{sin(180/4)}²
= 2-(sin 45°)²
= 2-(1/√2)²
= 2-{(1*1)/√(2*2)}
= 2-(1/2)
= (2/1) - (1/2)
Take the LCM of the denominator i.e., 1 and 2 is 2.
= (2*2-1*1)/2
= (4-1)/2
= 3/2 Ans.
Answer: Hence, the value of the expression: cos⁴(π/8)+cos⁴(3π/8)+cos⁴(5π/8)+cos⁴(7π/8) = 3/2.
Please let me know if you have any other questions.
This one's a bit hard, could use a bit of help.
Please & Thank you!
Answer:
a) 5 / 9
b) (-9) / 2; 9 / (-2)
Negative signs cancel each other out, thus (-5)/(-9) = 5/9
a negative on the entire quantity of a fraction is the same as a negative numerator divided by a positive denominator and vice versa, etc.
hope this helps
A downtown parking lot charges $5 per hour for the fort 2 hours, then $2.50 per hour after that. Which equations describes the total cost y as a function of the hours x?
We will get the piecewise function:
y = f(x) = $5*x for 0 ≤ x ≤ 2y = f(x) = $10 + $2.50*(x - 2) for 2 < xHow to write the piecewise function?
We know that the parking lot charges $5 per hour for the first two hours, and then $2.50 per hour after that.
So the function behaves differently in different intervals of its domain, this will be a piecewise function. To write it, we just need to clarify how the function behaves in each part of the domain.
Here the function will be:
y = f(x) = $5*x for 0 ≤ x ≤ 2y = f(x) = $10 + $2.50*(x - 2) for 2 < xSo for the first two hours (x is the number of hours), the cost is $5, then for any hour after that, the cost will be the $10 for the first two hours plus $2.50 for each hour after that.
That is the piecewise function that describes the total cost y as a function of the number of hours, x.
If you want to learn more about piecewise functions, you can read:
https://brainly.com/question/3628123
What is the first step in evaluating the expression, 6 - ( 4/2 •5)^2
Answer:
-94
Step-by-step explanation:
BODMAS
START WITH THE BRACKET
[tex]6 - ({ \frac{4}{2} \times 5 })^{2} [/tex]
[tex]6 - ({2 \times 5})^{2} \\ 6 - {10}^{2} \\ 6 - 100 \\ = - 94[/tex]
Your sister is getting married this summer and she has asked you to help her select a D.J. for the big event. You called around and found that Dave the D.J. charges a $150.00 set-up fee, plus $10.50 per hour. You discover Marvin’s Mobile Music Machine has a $135.00 set-up fee, plus $15.00 per hour.
Which D.J. will you recommend to your sister? Be sure to clearly support your recommendation mathematically.
Answer:
I will choose Marvin's mobile money music machine
Step-by-step explanation:
because it is less pricedEvalaute the following
x=2 y=2
4xy^2-6
Answer:
→ 26
Step-by-step explanation:
Given that: x = 2, y = 2→ 4xy²-6
→ 4(2)(2)²-6
→ 8*4-6
→ 32-6
→ 26
Solution:
4xy² - 6x = 2y = 2Let's substitute the values to obtain our answer.
Solving the term "4xy² - 6"
4xy² - 6=> 4(x)(y²) - 6=> 4(2)(2²) - 6=> 4(2)(4) - 6=> 32 - 6=> 26Hoped this helped!
which is the wrong one? BIGGER OR SMALLER
help
Answer:
It's D. 1.2(line) < 3.1(pi) < 4.6(square root 22)
Step-by-step explanation:
Look in the comments to figure out why D is correct. You're welcome! :)
If - 20 is added to a number, the sum will be 8 times the number. Find the number.
...
I’m not understanding this equation
Let the number = x
add -20’tonx to have x + -20 which becomes x-20
That equals 8 times the number x
The equation becomes
X-20 = 8x
Subtract x from both sides :
-20 = 7x
Divide both sides by 7:
X = -20/7
The number is -20/7
An office store pays a whole price of $120 for a laser printer and sells it for $174. What is the pecent mark up
Answer:
its by 54%
Step-by-step explanation:
because it is raising the price by making money by 54%. and that its using the calculator in any way.
Evaluate the expression: 3^3+3(4+1/3)
Answer:
30
Step-by-step explanation:
= 3^3 + 12 + 1
= 27 + 12 + 1
= 30
I’ll give you brainliest if you guys answer This question
Part A: Determine the perimeter of the triangle to the nearest hundredth.
Here is the solution steps and the answer.
What is the value of Fraction 1 over 2x3 + 3.4y when x = 2 and y = 5? 80 points
Answer:
1/29 (≈ 0.0345 if you want it in decimals)
Step-by-step explanation:
[tex]\frac{1}{2x3+3.4y}[/tex] then plug in the numbers given
[tex]\frac{1}{2(2)3+3.4(5)}[/tex]then simplify
2(2)3=4*3=12
3.4(5)=17
1 over 12+17
1 over 29
so the answer is [tex]\frac{1}{29}[/tex] which is 0.0344827586207 in decimals depending on whar format you want
Hope this helps!
Solution:
Note that:
Given fraction: [tex]\frac{1}{2x(3) + 3.4y}[/tex]x = 2y = 5Substitute the values into the fraction to find the solution.
[tex]\frac{1}{2x(3) + 3.4y}[/tex]=> [tex]\frac{1}{4(3) + 17}[/tex]=> [tex]\frac{1}{12 + 17}[/tex]=> [tex]\frac{1}{29}[/tex]The solution when x is two and y is five is 1/29.
Katie swims laps in a pool shaped like a rectangular prism.
The pool has a width of x feet. The length of the pool is 2 feet more than the width. The depth of the pool is 4 feet less than twice the width.
Given the pool's volume in cubic feet is 24 times its width in linear feet, what is the depth of the pool?
Enter your answer in the box.
Answer:
C.
Step-by-step explanation:
Length (l)= 5 ft.
Width (w)= 4 ft.
Height (h)= 2 ft.
Srudy the picture. The angles of the triangle have been rearranged. How does this prove that the angles of the triangle add up to 180°?
Answer:
all 3 angles make 1 straight line
a straight line is a 180 degrees
Step-by-step explanation:
please help me! I will give brainliest!!!
Answer:
4925 cm²Step-by-step explanation:
Shaded region is the difference of the areas of the parallelogram and the white square:
A = 111*50 - 25*25 = 4925 cm²For parallelogram
Area
BH50(111)5550For square
Area
Side²25²625cm²Area of shaded region
5550-6254925cm²Some one please help me
PLEASE HELP ASAP
Which action can lead to overdraft?
A. only using credit cards
B. paying close attention to debits and balances
C. recording checks as soon as you write them
D. using a debit card with funds earmarked for a previously written check
The answer to your question: overdraft can be triggered by any action that results in a negative account balance. This might also include: An automatic payment deducted that can be deducted from your account when you don't have enough money to cover the cost.
Step-by-step explanation:
When you make a purchase that brings your account balance below the number zero, any bank can decide whether to decline the purchase or pay it for you, overdrawing your account.
Most of the time, a bank or credit union will base the overdraft on your available balance—the amount of money in your account that you can spend, withdraw, or cover transactions. Sometimes, your listed balance is different from your available balance, so be sure to check your available balance and verify what the bank actually believes you can spend. Additionally, know that banks might order transactions in different ways, reducing your available balance. For example, a debit might be taken out before a credit is applied, which can result in an overdraft, even if you think you have sufficient funds in your bank account.
Hope this helped!!
p.s. pls mark my answer as the brainliest! thanks~
The action which can lead to overdraft using a debit card with funds earmarked for a previously written check can lead to overdraft, the correct option is D.
What is a debit card?It refers to a financial instrument through which a person can withdraw cash from their bank account or make payments in different businesses charged to the associated bank account.
We are given that
An overdraft action
Now,
An overdraft occurs when you withdraw more money from your bank account than what is available in the account. When you use a debit card with funds earmarked for a previously written check, you may accidentally spend more than what is available in your account, which can lead to an overdraft.
Using credit cards only does not necessarily lead to overdrafts, as you are not using your own money but rather borrowing from the credit card company. Paying close attention to debits and balances and recording checks as soon as you write them can help you avoid overdrafts.
Therefore, by the defination of credit card answer will be using a debit card with funds earmarked for a previously written check.
Learn more about debit and credit cards here: brainly.com/question/27350251
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A parking lot is rectangular in shape. On a scale drawing, the length of the parking lot is foot long and the width is į foot long.
The length of the actual parking lot is 150 feet.
What is the width of the actual parking lot?
Enter your answer in the box.
ft
Answer:
100ft
Step-by-step explanation: I took the quiz
Multiples that are shared by
two or more numbers are_____.
Answer:
common multiples
Step-by-step explanation:
hope that helps you
Solve the equation for x
-4x– 1 = 5^x+ 4
=
the answer.. .... is
= - 1.28
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
The percent decrease: 25%
The percent decrease: 33.33..%
So, B is the correct statement
Which algebraic rule describes a transformation? A (x, y)➡️(-x, y). B (x,y) ➡️ x, -y). C (x, y) ➡️ (-x, -y). D (x, y) ➡️ (-y, -x)
Answer:
(x,y,) (-x,-y)...................
Angle between 0 and 360 coterminal to 444 degrees
Answer:
444 is coterminal to 84
Step-by-step explanation:
Just subtract 360 from 444 and you have your answer
444 - 360 = 84
find the measure of the exterior angle ( SHOW YOUR WORK ) !!!!
Knowing that an exterior angle of a triangle is equal to the two interior angles that are away from the angle it is touching,
we get our equation:
6x+8=30+4x+2
Simplifying,
2x=24
x=12
So, we get the variable x is 12.
It's not over yet, since we were asked to calculate
6x+8
Substituting, we get
6(12)+8=
72+8=
HRQ is 80 Degrees-Hunter
Answer:
Step-by-step explanation:
6x+8=30+4x+2
Simplifying,
2x=24
x=12
we get the variable x is 12.
It's not over yet, since we were asked to calculate
6x+8
Substituting, we get
6(12)+8=
72+8=
What is the area of this triangle? 0 480 m2 525 m2 675 m2 900 m2
Answer:
480 m²
Step-by-step explanation:
A = bh/2
A = 64 m × 15 m / 2
A = 480 m²
A.480m2<3
Step-by-step explanation:<3
if the answer is wrong I can fix my mistake and you will get the right answer
have a great day hope you get good grades and
get a 100 on this quiz and if you do then g-
ood job <3
Which of the equations below could be the equation of this parabola?
A. y = 4x2
B. x = 4y2
C. X=-4x2
D. Y=-4x2
Answer:
D
Step-by-step explanation:
The graph opens downward so we would expect the integer to be negative. Also because the parabola opens downward you cannot have the equation be X=, this leaves Y=-4xsquared as the only viable option
ASAP!!!!!! I WILL GIVE BRANILST AND 200 POINTS! A 13 3/4 -inch candle burns down in 11 hours. If b represents how much of the candle, in inches, has burned away at any time given in hours, t, write a proportional equation for b in terms of t that matches the context.
I hope this helps :)
Your welcome
Answer:
b = 1.25(t) / 1 1/4(t)
brainliest please
please answer asap! will give brainliest!! How many solutions does the system of equations x − y = − 2 and y = (2x + 3)2 − 2 have?
Infinitely many
0
1
2
The number of solutions the system of equation x - y = -2; y = (2x + 3) is one solution.
The correct answer option is option c
How to find number of solutions in a system of equationx - y = -2
y = (2x + 3)
Substitute equation (2) into (1)x - y = -2
x - (2x + 3) = -2
x - 2x - 3 = -2
-x = -2 + 3
-x = 1
x = -1
Substitute the value of x into equation (1)x - y = -2
-1 - y = -2
Add 1 to both sides-y = -2 + 1
-y = -1
divide both sides by the coefficient of -y which is -1y = -1/-1
y = 1
In conclusion, the equation x - y = -2; y = (2x + 3) has only one solution.
Read more about system of equation:
https://brainly.com/question/13729904
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Answer:
It's two solutions
Step-by-step explanation:
100% sure look at the graph, the functions intersect exactly two times.