Answer:
Step-by-step explanation:
3 sinθ=3 cos 2θ
sin θ=cos 2θ
sinθ=1-2sin² θ
2sin²θ+sin θ-1=0
2sin²θ+2sinθ-sinθ-1=0
2sin θ(sin θ+1)-1(sin θ+1)=0
(sin θ+1)(2 sin θ-1)=0
sin θ=-1=-sin 90=sin (180+90)
θ=270
or sin θ=1/2=sin 30,sin (180-30)
θ=30,150
solution set is {30,150,270}
CO Use the following coordinate plane to write the ordered pair for each point
Answer:
A. (0,4)
B. ( 0,-3)
C (-1,1)
Step-by-step explanation:
100=x^2+y^2
0=3x+4y
This sentence is to fill characters
Answer:
1. 100=x^2+y^2 Look at the picture
2. 0=3x+4y Look at the picture
Step-by-step explanation: Hope this help :D
The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. In a sample of 86 units made with gold wire, 68 met the specification, and in a sample of 120 units made with aluminum wire, 105 met the specification. Let pX represent the population proportion units made with gold wire that meet the specification and let pY represent the population proportion units made with aluminum wire that meet the specification. Find a 95% confidence interval for the difference
Answer:
The 95% confidence interval for the difference is (-0.1888, 0.0202).
Step-by-step explanation:
Difference between proportions:
The distribution of the difference between two proportions has mean of the difference between these proportions and standard deviation is the square root of the sum of the variances. So
In a sample of 86 units made with gold wire, 68 met the specification
This means that:
[tex]pX = \frac{68}{86} = 0.7907[/tex]
[tex]sX = \sqrt{\frac{0.7907*0.2093}{86}} = 0.0439[/tex]
In a sample of 120 units made with aluminum wire, 105 met the specification.
This means that:
[tex]pY = \frac{105}{120} = 0.875[/tex]
[tex]sY = \sqrt{\frac{0.875*0.125}{120}} = 0.0302[/tex]
Difference:
[tex]p = pX - pY = 0.7907 - 0.875 = -0.0843[/tex]
[tex]s = \sqrt{sX^2 + sY^2} = \sqrt{0.0439^2+0.0302^2} = 0.0533[/tex]
Confidence interval:
[tex]p \pm zs[/tex]
In which z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex], with [tex]\alpha[/tex] being 1 subtracted by the confidence level.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Lower bound of the interval:
[tex]p - zs = -0.0843 - 1.96*0.0533 = -0.1888[/tex]
Upper bound of the interval:
[tex]p + zs = -0.0843 + 1.96*0.0533 = 0.0202[/tex]
The 95% confidence interval for the difference is (-0.1888, 0.0202).
find the unknown lengths in the pair of similar triangles
Answer:
a = 3
b = 2
Step-by-step explanation:
The ratio of the corresponding sides of two similar triangles are always equal. Therefore,
9/a = 18/6 = 6/b
✔️Let's solve for a:
9/a = 18/6
9/a = 3
Cross multiply
a*3 = 9
Divide both sides by 3
a = 9/3
a = 3
✔️Let's find b:
18/6 = 6/b
3 = 6/b
3*b = 6
b = 6/3
b = 2
If the principle is $12,000 and the rate of interest is 6% (simple interest), what
is the total amount after one year?
[no links please (:]
9514 1404 393
Answer:
$12,720
Step-by-step explanation:
The amount is given by the formula ...
A = P(1 +rt)
where P is the principal, invested at rate r for t years.
A = $12,000(1 +0.06·1) = $12,720
The total amount after 1 year is $12,720.
please help. i need this in by today at 12:00
Answer:
A
Step-by-step explanation:
P( music ) = number of students in music/ total number of students
P (music) = 4 / 14
= 2/7
What is the median of the numbers 312, 336, 488, 384, 368, 336, 416, 624
Answer:
376
Step-by-step explanation:
312,336,336,368,384,416,488,624
the middle numbers are 368 and 384
the median is the middle of the middle numbers
to find this number we add up 368 and 384 and divide the answer by 2
368+384=752
752/2=376
Answer:
376
Step-by-step explanation:
1. To find the median you have to first arrange the numbers in numerical order.
2. Count how many numbers you have.
3. Divide by 2. Go to the number in that position and average it with the number in the next highest position to get the median.
So considering you have 8 numbers if you divide 8 ÷ 2 = 4
the 4th number arranged is 368. Now to average 368 and 384. 368+384=752
752 ÷ 2 = 376
Please help I really need help !!
Answer:
I think it is D.
Step-by-step explanation:
I multiplied 11x9x9=891
2/4 = 1/2 or 1/3
which is the answer
Answer:
1/2
Step-by-step explanation:
Because you can simplify 2/4 by 2, to get 1/2
Answer:
1/2
Step-by-step explanation:
A jewerler had a fixed amount of gold
Answer:
ohhhhh and who is the jeweler
Solve for each variable and tell how you found the value of each.
Answer:
A:38 c:54
Step-by-step explanation:
First off, I did the easiest which was a. i found the value of A by subtracting 180 by 142. because a flat line is 180 degrees.
For C, It was more difficult. I subtracted 88 by the value of A, since the value of A is the same as the one next to 88. So I subtracted 126 (88+38) and got 54.
Fortunately, I couldn't figure out B though, but i think it is a similar answer to c.
The expression 5x^2 + 25x + 70 can be used to estimate the height, in
meters, of a toy rocket x seconds after it is launched from a platform.
How many seconds does it take the rocket to hit the ground?
Answer:
Hence x is 7 seconds
Step-by-step explanation:
hope this helps
Classify each equation as L Q or E
Answer:
Step-by-step explanation:
Type of equations,
Linear equations:
Equations in the form of y = mx + b
Quadratic equations:
Equation with a maximum degree = 2
y = ax² + bx + c
Exponential equations:
Any function or equation having exponent,
y = a(b)ˣ
a). f(x) = 3x + 2
Linear function.
b). y = 5ˣ
Exponential equation.
c). f(x) = 2
Linear equation
d). f(x) = 4(2)ˣ + 1
Exponential function
e). [tex]y=7(0.25)^x[/tex]
Exponential function
f). y = 4x² + 2x - 1
Quadratic function
In the following equation, when x=0, what is the value of y?
3x + 4y = 12
Answer:
(3)(0)+4y=12
Step 1: Simplify both sides of the equation.
(3)(0)+4y=12
0+4y=12
(4y)+(0)=12(Combine Like Terms)
4y=12
4y=12
Step 2: Divide both sides by 4.
4y
4
=
12
4
y=3
Answer:
C. Y = 3
Step-by-step explanation:
Which electrician would be cheaper to hire for 3 hours? 8 hours? Why
Electrician A charges $35 per hour and a $100 consultation fee.
Electrician B charges $40 per hour and a $70 consultation fee.
Answer:
3 hour: electrician B because you would save $15
8 hour: electrician A because you would save $10
Step-by-step explanation:
35×3+100=205 vs 40×3+70=190
b is 15 dollars less
35×8+100=380 vs 40×3+70=390
a is 10 dollars less
Ok no one at my school can get it, who has the crown to get this right 1st out of my whole class lolllll plus ill give brainiest to who answers without a link
Answer:
A.y=(t-1998)+b
B. 13,720 Vehicles
Step-by-step explanation:
N/A
Gina deposits $2,000 into each of two savings accounts.
- Account I earns 5% annual simple interest.
- Account II earns 5% interest compounded annually.
Gina does not make any additional deposits or withdrawals. What is the sum of the balances of Account I and Account II at the end of 3
years?
0 $4,600
O $4,615.25
0 $4,630.50
$4,300
Answer:
4,615.25
Step-by-step explanation:
I just did a et and it is correct.
If I paid $2.50 in taxes on a $45 item, what percentage rate of taxes did I pay?
Answer:
47.05
Step-by-step explanation:
12345678910^#3:##;$$;$%#;#<÷&÷#7#;;^#
Find all factors of the given number. (Enter your answers as a comma-separated list.)
200
Find the quadratic function that models the data as a function of x, the number of weeks. Use the model to estimate the number of fish at the lake on week 11.
Week : 0 1 2 3 4 5 6
Population : 495,483,481,489,507,535,573
Answer: b
f(x)=5x^2-17x+495
f(11)=913
Step-by-step explanation:
I did some research and found an exam review sheet that had this same problem (worked out). This was all that was written.
The quadratic function that models the data will be;
y = 5x² - 17x + 495
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The model to estimate the number of fish at the lake on week 11 are;
Week = 0, 1, 2, 3, 4, 5, 6
Population = 495, 483, 481, 489, 507, 535, 573
Now,
Let the quadratic equation is;
y = ax² + bx + c
Substitute x = 0 and y = 495, we get;
495 = a × 0 + b × 0 + c
c = 495
Substitute x = 1 and y = 483, we get;
483 = a × 1 + b × 1 + c
483 = a + b + 495
a + b = 483 - 495
a + b = - 12 ... (i)
Substitute x = 2 and y = 481, we get;
481 = a × 4 + b × 2 + c
481 = 4a + 2b + 495
4a + 2b = 481 - 495
4a + 2b = - 14
2a + b = - 7 ... (ii)
Solve equation (i) and (ii), we get;
a = 5 and b = - 17
So, We get;
The quadratic equation is;
y = ax² + bx + c
y = 5x² - 17x + 495
Therefore, The quadratic function that models the data will be;
y = 5x² - 17x + 495
Learn more about the quadratic equation visit:
https://brainly.com/question/25841119
#SPJ2
Find the area of the triangle. Enter your answer in the box.
9514 1404 393
Answer:
168 mm²
Step-by-step explanation:
The area of a triangle is half the product of the base and height. The height is measured perpendicular to the base.
A = 1/2bh
A = 1/2(14 mm)(12 mm)
A = 84 mm²
The area of the triangle is 84 square millimeters.
Answer:
84 whoop lololol
Step-by-step explanation:
84 mm power 2
Use the washer method to find the volume?
It's not clear whether you're talking about the bounded region to the left or right of the y-axis, but due to symmetry it doesn't really matter.
The two curves y = 8 and y = 8x ² intersect for
8 = 8x ² → x ² = 1 → x = -1, x = 1
but we only care about one of these; take the positive solution, so the region of interest lies to the right of the y-axis.
Each washer has an outer radius (distance from the "top" curve to the axis of revolution) of 8 and an inner radius (distance from the "bottom" curve) of 8x ². Take the heights to be some small length ∆x . Then each has a volume of π (outer radius)² - π (inner radius)², or
π (64 - 64x ⁴) ∆x
Now take n such washers, take their sum, and let n → ∞ and ∆x → 0. This amounts to computing the integral,
∫₀¹ π (64 - 64x ⁴) dx = π (64x - 64/5 x ⁵) |₀¹
… = π (64 - 64/5)
… = 256π/5
The two curves y = 8 and y = 8x ² intersect for
8 = 8x ² → x ² = 1 → x = -1, x = 1
but we only care about one of these; take the positive solution, so the region of interest lies to the right of the y-axis.
Each washer has an outer radius (distance from the "top" curve to the axis of revolution) of 8 and an inner radius (distance from the "bottom" curve) of 8x ². Take the heights to be some small length ∆x . Then each has a volume of π (outer radius)² - π (inner radius)², or
π (64 - 64x ⁴) ∆x
Now take n such washers, take their sum, and let n → ∞ and ∆x → 0. This amounts to computing the integral,
∫₀¹ π (64 - 64x ⁴) dx = π (64x - 64/5 x ⁵) |₀¹
… = π (64 - 64/5)
… = 256π/5
THANKS
76 is what percent of 475?
Answer:
361
475*76%=361
Hope this helped you out!!
Answer:
16
Percentage Calculator: 76 is what percent of 475? = 16.
Step-by-step explanation:
Answered by none other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!
Hope this helped!!
Use ALL of the tools have, to find area and perimeter of this below:
9514 1404 393
Answer:
area 36 ft²perimeter 30 ftStep-by-step explanation:
The area can be decomposed into a rectangle and a trapezoid.
The rectangle is 2' by 5', so has area ...
A = LW
A = (5 ft)(2 ft) = 10 ft²
The trapezoid has bases 8 ft and 5 ft, and height 4 ft, so its area is ...
A = 1/2(b1 +b2)h
A = 1/2(8 ft +5 ft)(4 ft) = 26 ft²
Then the total area of the figure is ...
total area = 10 ft² +26 ft² = 36 ft²
__
The slant side of the trapezoid is the hypotenuse of a triangle with sides 3 and 4. The Pythagorean theorem tells us its length is ...
c = √(a² +b²) = √(3² +4²) = √25 = 5
The perimeter of the figure is the sum of the side lengths. Working clockwise from the top, that sum is ...
P = 5 + 4 + 2 + 2 + 5 + 2 + 5 + 5 = 30 . . . feet
The perimeter of the figure is 30 feet.
291 divided 6 = what ? R ?
Answer: 48 R3
Step-by-step explanation:
HELP PLS !!!! ITS DUE IN AN HOUR
Answer:
its b i know that
Step-by-step explanation:
Sam has $560 in his savings account.
He earns 2.5% interest every 3 years.
How much TOTAL savings will he have in his account?
Please help with this math work!! Solve for x , Assume which appear tangent are tangent
Answer:
photo is not clear so i can't help u
Answer:
i cant really see the q so sorry but goodluck <3
Male Color Blindness
Approximately 9% of men have a type of color blindness that prevents them from
distinguishing between red and green. If 3 men are selected at random, find the
probability that all of them will have this type of red-green color blindness.
Answer:
About 0,3? Could go higher but the middle answer ( highest probability) is correct to me.
Step-by-step explanation:
I’m about to cry from frustration. Help please before I die
Answer:
[tex]\frac{1}{3}x+16=37[/tex]
63 Jelly Beans
Step-by-step explanation:
The unknown is the number of jelly beans originally in the bag or x
First he had x jelly beans
The he ate one-third of them
[tex]\frac{1}{3}x[/tex]
He then ate 16 more jelly beans
[tex]\frac{1}{3}x+16[/tex]
This was equal to 37 jelly beans
[tex]\frac{1}{3}x+16=37[/tex]
This is the equation
Now solve for x
Subtract 16 from both sides
[tex]\frac{1}{3}x=21[/tex]
Multiply both sides by 3
[tex]x=63[/tex]
63 Jelly Beans