9514 1404 393
Answer:
cos(-π/8) = (√(2+√2))/2
Step-by-step explanation:
The half-angle formula is ...
[tex]\cos{\dfrac{\theta}{2}}=\pm\sqrt{\dfrac{1+\cos{\theta}}{2}}[/tex]
Since cosine is an even function, cos(-π/8) = cos(π/8).
For θ/2 = π/8, θ = π/4 and cos(θ) = (√2)/2. Filling in the formula, we have ...
[tex]\cos{(-\dfrac{\pi}{8})}=\cos{\dfrac{\pi}{8}}=\sqrt{\dfrac{1+\cos{\dfrac{\pi}{4}}}{2}}=\sqrt{\dfrac{1+\dfrac{\sqrt{2}}{2}}{2}}\\\\=\sqrt{\dfrac{2+\sqrt{2}}{4}}=\boxed{\dfrac{\sqrt{2+\sqrt{2}}}{2}}[/tex]
8)
Erica chooses a number. She divides it by four then subtracts 11. She then divides this
result by two. Her answer is 12.5. What was the number she started with?
Step-by-step explanation:
Let x be the number.
Divide it by 4
x/4
Subtract 11
x/4 - 11
x-44/4
Divides this result by 2
x-44/4 ÷ 2
x-44/4 × 1/2
x-44/8
Her answer is 12.5
x-44/8 = 12.5
x-44 = 12.5 × 8
x = 100 + 44
x = 144
Hence,
She started with 144 number.
help please its important
Answer:
DBYesStep-by-step explanation:
x: cupcakes
y: cakes
no more than 224 minutes: ≤ 224, average 4 minutes cupcakes: 4x and average 32 minutes cakes: 32ywhen you plug in the 4 cakes as y it becomes x≤24....4x+32(4)≤224...(4x+128≤224)-128....(4x≤96)/4...x≤24when you plug in the given numbers it is a true statement.... 4(32)+32(3)≤224...128+96≤224....224≤2249514 1404 393
Answer:
1. d. 4x +32y ≤ 224
2. b. x ≤ 24
3. yes
Step-by-step explanation:
1. For x number of cupcakes, at 4 minutes each, the time required for their decoration is 4x.
For y number of cakes, at 32 minutes each, the time required for their decoration is 32y.
The total decorating time must be less than or equal to 224 minutes:
4x +32y ≤ 224
__
2. For y=4, the constraint on x is ...
4x +32(4) ≤ 224
4x ≤ 96
x ≤ 24
__
3. We can try the numbers and see if the inequality is true:
4(32) +32(3) ≤ 224
128 +96 ≤ 224 . . . . . . . . true (equal)
Yes, it is possible.
$15 per hour is the basic rate at a factory. After a 48 hour basic work week, overtime is paid time and a half. If no one worked overtime and the factory paid $15840 in wages one week how many workers are in the factory
There are 22 workers are available in the factory.
What is Wages?Wages is the payment for work based on hours worked (or sometimes per day or per amount of work done).
Here, Let the number of workers in the factory be x.
Basic rate = $15
Working hours in a week = 48 hours
Total wages in a week = $ 15840
If no overtime is to be paid then according to question,
Amount paid to 1 worker = 48 X 15 = $ 720
Amount paid to x worker = 720x
15840 = 720x
x = 15840/720
x = 22
Thus, There are 22 workers are available in the factory.
Learn more about Wages from:
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can you explain the standard form of a line in algebra 1 ?
A store plans to sell two different game consoles, the Wii and the xbox. The store’s wholesale price for the Wii is $250, and the store can sell one for $295. The xbox wholesale price is $400, and the store can sell it for $450. The stores marketing research indicates that the total monthly demand for game consoles will not exceed 250 units sold. The store’s financial manager doe not want to invest more than $70,000 in inventory costs for game consoles. Write the constraints and the objective formula.
I'll answer this question in a bit, I am busy with some other things right now.
How much is 28 + 56 + 93
Answer:
177
Hope this helps
I need help please it’s due today I forgot how to do this :(
Answer:
Samantha payed 12.71$ for her purchase.
Step-by-step explanation:
I may have misunderstood the question, but it looks like you can use a calculator for this!
6.19 + 2.85 + 2.29 + 1.38 =
12.71
Suppose a manufacturer finds that 95% of their production is normal but the final 5% has one or more flaws. Each flawed good has a financial cost to the firm of $1. The manufacturer tasks a team led by you, the manager to identify the likelihood of upcoming flaws by providing your best expectation. Here is what you found by reviewing past production.Of the flawed goods:80% show Type 1 flaws.50% show Type 2 flaws.30% show both Type 1 and Type 2 flaws.1. Make a Bivariate Table using the above data.2. What is the probability and expectations of type 1 flaw?3. What is the probability and expectation of Type 2 flaw?4. What is the probability and expectations of Type 1 and 2 flaws?5. What is the probability and expectations of no flaws?
Answer:
1)
FLAW TYPE2 NO TYPE2 FLAW
TYPE1 0.015 0.025
NO TYPE1 FLAW 0.01 0.95
2) 0.04 and $0.04
3) 0.025 and $0.025
4) 0.015 and $0.015
5) 0.95 and $0.95
Step-by-step explanation:
Given that;
financial cost = $1
p(flaw) = 0.05
p(type 1 flaw / flaw) = 80% = 0.8
p(type 2 flaw / flaw) = 50% = 0.5
p( type 1 and 2 flaw/flaw) = 30% = 0.30
1) Bivariate Table
p( type 1 flaw) = p(flaw) × p(type 1 flaw/flaw) = 0.05 × 0.8 = 0.04
p( type 2 flaw) = p(flaw) × p(type 2 flaw/flaw) = 0.05 × 0.5 = 0.025
p( type 1 and 2 flaw) = p(flow) × p( type 1 & 2 flaw/flaw) = 0.05 × 0.3 = 0.015
p( only 1 flow) = 0.04 - 0.015 = 0.025
p( only 2 flow) = 0.025 - 0.015 = 0.01
THEREFORE the Bivariate Table;
FLAW TYPE2 NO TYPE2 FLAW
TYPE1 0.015 0.025
NO TYPE1 FLAW 0.01 0.95
2) probability and expectations of type 1 flaw?
p( type 1 flaw) = p(flaw) × p(type 1 flaw/flaw) = 0.05 × 0.8 = 0.04
Expected financial cost to the firm per good = $1 × 0.04 = $0.04
3) probability and expectation of Type 2 flaw
p( type 2 flaw) = p(flaw) × p(type 2 flaw/flaw) = 0.05 × 0.5 = 0.025
Expected financial cost to the firm per good = $1 × 0.025 = $0.025
4) probability and expectations of Type 1 and 2 flaws
p( type 1 and 2 flaw) = p(flow) × p( type 1 & 2 flaw/flaw) = 0.05 × 0.3 = 0.015
Expected financial cost to the firm per good = $1 * 0.015 = $0.015
5) probability and expectations of no flaws?
Probability of no flaw = P(No flaw) =95% = 0.95
Expected financial cost saved the firm per good due to no flaw
= $1 × 0.95 = $0.95
A student evaluated −4 + (−9 12) and got an answer of 5 12. What might the student have done wrong? explain in details
Answer:
[tex]the \: students \: calculation \: was \\ based \:on\: addition \: of \: the \: numbers \\ without \: cosidering \: thier \: nagative \: signs.[/tex]
5x-(x-2) ≥ 2x-4(x-8)
Answer:
x>5
Step-by-step explanation:
Find the volume of the solid that lies under the plane 3x + 2y + z = 12 and above the rectangle. $$ R = \{(x,y) | 0\le x \le {\color{red}1}, -{\color{red}2} \le y \le {\color{red}4} \} $$
Answer:
51 cubic units
Step-by-step explanation:
[tex]3x+2y+z=12\\\Rightarrow z=12-3x-2y[/tex]
Now we integrate over volume integral over the range [tex]R = \{(x,y) | 0\le x \le {1}, -{2} \le y \le {4} \}[/tex]
[tex]V=\int_0^1\int_{-2}^4 12-3x-2y dydx\\ =\int_{-2}^4 12y-3yx-y^2|_4^{-2} dx\\ =\int_{0}^1 12\times4-3\times4x-16-[12\times-2-3\times-2x-4]dx\\ =\int_{0}^1 60-18xdx\\ =60x-9x^2|_{0}^1\\ =60-9\\ =51\ \text{cubic units}[/tex]
The volume of the solid is 51 cubic units.
Which of the following is equal to 1/2 or -1/2? Check all that apply.
sin(7pi/6)
Sin(4pi/3)
Cos(5pi/3)
Cos(pi/6)
Cos(5pi/6)
Sin(5pi/6)
Answer: ITS A, C, F
Step-by-step explanation:
I JUST DID IT ON EDG 2020
Answer:
A
C
F
Step-by-step explanation:
Help me please I’m timed
Answer:
a=3 b=4
Step-by-step explanation:
a on the power of 3 is 8
3 on the power of 4 is 81
multiply them and you get 648
FIRST RIGHT GETS BRAINLIEST
Answer:
-1 + 7 =-8
Step-by-step explanation:
Answer:
-6, -7
Step-by-step explanation:
-1 + -6 = -7
match the simplified expressions to an equivalent expression
the quotient of 9 3/4 and 5/8
Answer:
15.6
Step-by-step explanation:
The answer is 15.6 because if you divide 9 3/4 by 5/8, you get 78/5, or 15.6 in decimal form. Hope it helps!
0.5f - 2.3g
F= 12, g = 2
Hi there & welcome to brainly !
Answer:
[tex] \huge{ \bold{ \boxed{ \tt{1.4}}}}[/tex]
Step-by-step explanation:
[tex] \text{Given : f \: = \: 12 \: g = 2}[/tex]
[tex] \text{To \: find : Value \: of \: given \: expression}[/tex]
[tex] \text{Let's \: start}[/tex] :
[tex] \text{0.5f \: - 2.3g}[/tex]
Here, The values of f and g are 12 and 2 respectively. Plug the given values :
↦ [tex] \text{0.5 ∗ \: 12 - 2.3 ∗ 2}[/tex]
Multiply : 0.5 and 12
↦ [tex] \text{6 - 2.3 \: ∗ \: 2}[/tex]
Multiply : 2.3 and 2
↦ [tex] \text{6 - 4.6}[/tex]
Subtract 4.6 from 6
↦ [tex] \text{ \boxed{1.4}}[/tex]
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
The solution of the given expression will be; 1.4
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that 0.5f - 2.3g where f = 12 and g = 2
Now substitute 12 in for f and 2 in for g and solve;
0.5(12) -2.3(2)
6 - 4.6
=1.4
To know more about an expression follow;
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The complete question is;
Evaluate the expression: 0.5f - 2.3g where f = 12 and g = 2
0.2-0.3 what is the midpoint?
Answer:
0.25
Step-by-step explanation:
Calculating the right recipe for Jerome 22 people are running in tomorrow’s world racing drone thinks they will each want to cups of energy drink how much water and how much drink make sure Jerome used to make enough energy drink for all the runners create a table and show your work and explain in writing your results
Answer:
you need to provide more information lol
Step-by-step explanation:
e
Solve the following inequality.
−1
Answer:
any thing, not 1 or -1
Step-by-step explanation:
the equality to any number is either itself or its opposite 1 inequality would be 2-infinite or -2- -infinite and zero
Question 2 Multiple Choice Worth 2 points)
Find an equation in standard form for the hyperbola with vertices at (0, +9) and foci at (0, +11).
Oy?
x2
= 1
40 81
y² x²
= 1
81 121
y?
x2
= 1
81
40
O
y?x
121 81
= 1
can someone help me? The question is the picture below. 30 POINTS!!!
Answer:
Hope that helps! (ignore this, I just need more characters lol)
List the integers from greatest to least.
{-23, -17, -4, -3, -15, -18, -26}
Answer:
-3, -4, -15, -17, -18, -23, -26
Explanation:
The umbers away from zero are least and the numbers closer to zero are greater
What is the first step in ordering fractions with different denominators
Answer:
Find the common denominator. :)
Which is equivalent to 3^4
Answer:
81
Step-by-step explanation:
3^4
=3*3*3*3
=81
Hope this helps!!
the slope of a hill 3/190. The Hill has a ride of 400m. What is the horizontal distance covered by the hill?
Answer:
its 5
Step-by-step explanation:
The hill with a rise of 400m and a slope of 3/190 covers approximately 25333.33 meters horizontally.
Slope is a term used to describe how steep or inclined a line is on a graph. It shows the proportion of the rise to the run or vertical change, between any two points on a line. The slope is a fundamental idea in geometry, algebra and calculus; it shows how much the line rises or falls for each unit of horizontal distance. A slope of zero denotes a horizontal line while positive slopes denote upward inclines, negative slopes denote downward inclines, and vice versa.
Slope = rise / run
Given that the slope of the hill is 3/190 and the rise is 400m, we can set up the equation:
3/190 = 400 / run
run = 400 / (3/190) = 400 × (190/3)
= 400 × 63.33 ≈ 25333.33 meters
the horizontal distance covered by the hill is approximately 25333.33 meters.
learn more about slope here
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NEED HELP ASAP IF NOT I WILL FAIL. I WILL MARK YOU AS MOST BRAINIEST
When 2-Brothers Plumbing Company comes to
your crib, they charge a flat rate of $55 plus $58
per hour.
Let x = # of hours
Let y = the total amount of money they charge.
Write the equation for this scenario. When Mario
is giving you a thumbs up, you have succeeded!
A swester is 20 dollars and is on ssle for 12 dollars. What percentage off
12 dolars / 20 dolars
the percentage is
(20-12) / 20
= 8/20
= 40 %
What are the coordinates of the point (−1, 6) after a reflection across the x-axis
Answer:
(-1,-6)
Step-by-step explanation:
Because it is reflecting across the x-axis, the x value remains the same but the y value moves down the axis the same distance it was, meaning that the y part of the coordinate becomes the opposite.
For example, if (1,2) was reflected across the x-axis, it becomes (1,-2).
Help ASAP, easy 15 points and a brainly for the first one to answer .
Answer:
It slopes downward from left to right. You can see the downward slope of that gender, which starts at the left and moves to the right.
Step-by-step explanation: