Answer: [tex]\bold{y=7cos\bigg(\dfrac{2\pi}{7}x\bigg)}[/tex]
Step-by-step explanation:
y = A cos (Bx - C) + D
A = amplitude (vertical stretch)Period = 2π/BC/B = phase shiftD = vertical shiftThe minimum is -7 and the max is 7 so A = 7 and D = 0
Period is 7. Since P = 2π/B then 7 = 2π/B --> B = 2π/7
Nothing was stated about a phase shift so you can use any value for C. I chose C = 0.
Now, input A = 7, B = 2π/7, C = 0, & D = 0 into the equation
[tex]y=7\cos\bigg(\dfrac{2\pi}{7}x-0\bigg)+0\\\\\\\text{Simplify}:\\y=7\cos\bigg(\dfrac{2\pi}{7}x\bigg)[/tex]
Paula wants to know the favorite type of music for students at her school. She surveys the first 60 people who enter the school doors in the morning. (circle the correct choice below) FAIR or BIASED
Answer:
Fair
Step-by-step explanation:
Based on the description provided in the question it is safe to say that the survey that Paula conducted is completely Fair. This is mainly due to the fact that her pool of participants are completely random. Paula does not control who will walk through the schools doors first. Therefore she cannot be biased since she is surveying whoever walks through the doors first regardless of her personal opinions or feelings.
can someone help me solve this please?
Answer:
h = 9
Step-by-step explanation:
You can use the Pythagorean theorem to solve this. Consider each half of the main triangle their own triangles.
h = a
a^2 + b^2 = c^2
or
a^2 = c^2 - b^2
a^2 = 10^2 - 5^2
a^2 = 100 - 25
a^2 = 75
a = √75
a = 8.66, or 9
h = 9 (when rounded)
2x + 4y = 12 y = A system of equations. 2 x plus 4 y equals 12. y equals StartFraction one-fourth EndFraction x minus 3.x – 3 What is the solution to the system of equations? (–1, 8) (8, –1) (5, StartFraction one-half EndFraction) (StartFraction one-half EndFraction, 5)
Answer:
This guy is a fooooool the real answer is
Step-by-step explanation:
x=8 and y=−1
so : (8,-1)
From the system of equation 2x + 4y = 12 and y equals StartFraction one-fourth EndFraction x minus 3. The solution to the system of equations in terms of (x, y) is equal to ( (8, -1)
The system of equations is given as:
2x + 4y = 12 ------- (1)
[tex]\mathbf{y = \dfrac{1}{4}x - 3} \ \ \ ----(2)[/tex]
So, from equation (1), we will replace the value of y which is [tex]\mathbf{ \dfrac{1}{4}x - 3} }[/tex] in order to be able to solve for x.
i.e.
[tex]\mathbf{2x + 4\Big ( \dfrac{1}{4}x -3 \Big) = 12 }[/tex]
Open brackets
2x + x -12 = 12
3x - 12 = 12
3x = 12 + 12
3x = 24
x = 24/3
x = 8
Now, we will replace the value of x into equation (2) to be able to solve for y.
[tex]\mathbf{y = \dfrac{1}{4}(8) - 3} }[/tex]
y = 2 -3
y = -1
Therefore, the solution to the system of equations in terms of (x, y) is equal to ( (8, -1)
Learn more about the system of equations here:
https://brainly.com/question/12895249?referrer=searchResults
[tex]\sqrt{512k^{2} }[/tex] help please!!
[tex]\sqrt{448x^{3} }[/tex]
Answer:
Step-by-step explanation:
[tex]\sqrt{256*2*k*k} = 16k\sqrt{2} \\\sqrt{448x^{3} } = \sqrt{64*7*x*x^{2}}=8x \sqrt{7x}[/tex]
Select all the points that are on the graph of the line below. Y=5-1/2x A: (0,5) B (0,10) C(1,2) D(1,4) E(5,0) F(10,0). Please help.
Answer:
A: (0,5)
F(10,0)
Step-by-step explanation:
Y=5-1/2x
Substitute the point into the equation and see if it is true
A: (0,5)
5 = 5 - 1/2(0)
5=5 true on the line
B (0,10)
10 = 5 - 1/2(0)
10=5 false not on the line
C(1,2)
2 = 5 - 1/2(1)
2=4 1/2 false not on the line
D(1,4)
4 = 5 - 1/2(1)
4=4 1/2 false not on the line
E(5,0)
0 = 5 - 1/2(5)
0=2 1/2 false not on the line
F(10,0)
0 = 5 - 1/2(10)
0=5-5 true on the line
A news report says that 28%
of high school students pack their lunch.
Your high school has 600
600
students.
How many students in your high school would you expect to pack their lunch?
Answer:
168
Step-by-step explanation:
28% = 28/100
28/100 * 600 = 168
Simplify the equation
Answer:
option c is the correct.
Step-by-step explanation:
[tex]\frac{2x^4*6x^2}{3x^2}[/tex]
by using the laws of exponent
a^m×a^n=a^m+n
12x^4+2/3x²
[tex]\frac{12x^4}{3x^3}[/tex]
4x^4-3
4x³
Answer:
4x^3
Step-by-step explanation:
In the numerator, (top part) we have 2x^4 times 6x^2
2 times 6 is 12, and x^4 times x^2 is x^6.
Thus, in the top part, we have 12 times x^6.
In the bottom part we have 3 times x^3.
This is exactly the answer for d, but this is not a simplified answer.
Dividing 12 by 3 we have 4, and x^6/x^3 gives us x^(6-3) which is x^3.
Therefore, we have the correct answer: 4x^3
Calvin was told he should drink 2 liters of water
everyday. If he did this, how much water would
he drink in 1 week (7 days)?
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Multiply the values
2 x 7 = 14
He would drink 14 litres of water in a week
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
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Calculate area of triangle
Answer:
60cm^2
Step-by-step explanation:
15 times 8 = 120
divided by 2 = 60
Answer:
60
Step-by-step explanation:
8x15=120
120/2=60
You buy a touch iPod for $200, but it loses value at a rate of 10% each year. How much is your phone worth after 3 years?
Answer:
145.8
Step-by-step explanation:
200 times .9 times .9 times .9
Because it is 3 years
Answer:
$266.20
Step-by-step explanation:
o=200
r=.1
t=3
w=200(1+.1)^3
w=200(1.331)=266.2
PLEASE HELP WITH MATH
Answer:
Volume: 105 cubic centimeters
Mass of doorstop: 924 grams
Step-by-step explanation:
First, you need to find the area of the triangular base of the prism. The area of the triangle is bh/2=10*6/2=30 square centimeters. Multiplying this by the height of the doorstop of 3.5, you get a total volume of 105 cubic centimeters. Since each cubic centimeter weighs 8.8 grams, the whole thing weighs 105*8.8=924 grams. Hope this helps!
Answer:
volume 105 cm³
mass 924 g
Step-by-step explanation:
This is triangular prism so (Volume) V = (Area of base) B * (Height) H
In this case is triangle is the base shape with base b =10cm and height h= 6cm so
B =1/2 bh = 1/2 *10*6 =30 cm²
(Height) H = 3.5 cm
so V = 30*3.5 = 105 cm³
1 cm³ has a mass ≈ 8.8g
so the mass of the doorstop is volume * mass per cm³
105 * 8.8 = 924 g
The rectangle has a length of (x+3) and the width (x+1)
Which of the following represents the area of the rectangle?
A.4x+8
B.2x+4
C.x to the second power+4x+3
D.2x to the second power +4x+3
aisha and brendan are watching a hot air balloon. the angle of elevation for aisha is 65 degrees. what is the angle of elevation for brendan?
Using the law of sins:
B =sin^−1((sin(A)⋅a)/b) = sin^−1((sin(65)⋅110)/155)=40.03 degrees
B= 40.03 degrees (round as needed)
Which of the following points are on the line given by the equation y=1/2x
Answer:
B, C, and F
Step-by-step explanation:
y = 1/2x
y = 1/2(4)
y = 2
y = 1/2x
y = 1/2(-2)
y = -1
y = 1/2x
y = 1/2(2)
y = 1
Shaundra opened a savings account with $50.00. Every week, she added $2.50. Write a sequence to show how much money she had in her bank account after 1, 2, 3, 4, 5, and 6 weeks.
Answer:
1 = 2.50
2 = 5
3 = 7.50
4 = 10
5 = 12.50
6 = 15
Step-by-step explanation:
1 x 2.50 = 2.50
2 x 2.50 = 5
3 x 2.50 = 7.50
4 x 2.50 = 10
5 x 2.50 = 12.50
6 x 2.50 = 15
Have a good day. :)
Hope this helps!
(brainliest would be appreciated)
BRAINLIEST!!! Divide. (See image.)
Answer:
Step-by-step explanation:
x-6)3x²-24x+35 (3x-6
3x²-18x
- +
__________
-6x+35
-6x +36
+ -
________
- 1
_________
quotient=3x-6
remainder=-1
Someone please help me
Answer: y=8x+6
Step-by-step explanation:
The equation for a line is y=mx+b, where m is your slope and b is the y intercept of the line. Hope this helps!
a man travels 600km apart by train and partly by car.it takes 8 hours 40 min if he travels 320km by train and rest by car. it would take 30min more if he travels 200km by train and rest by car . find the speed of the train and by separately.
Answer: speed of train = 94.53 km/h
Speed of car = 59.98 km/h
Step-by-step explanation:
Let x = speed of the train
Let y = speed of the car
The total distance travelled by the man is 600 km. It takes 8 hours 40 min if he travels 320km by train and rest by car. This means that the distance travelled by car is 600 - 320 = 280km
60 minutes = 1 hour
The total time of travel = 8 + (40/60) = 8.67 hours
Total time = total distance/total speed
8.67 = 320/x + 280/y
320/x = 8.67 - 280/y
320/x = (8.67y - 280)/y
Cross multiplying, it becomes
320y = x(8.67y - 280)
y = x(8.67y - 280)/320- - - - - - - - - - -1
it would take 30min more if he travels 200km by train and rest by car. The total time would be 8.67 + 0.5 = 9.17 hours
Distance covered by the car is 600 - 200 = 400 km
Therefore,
9.17 = 200/x + 400/y
200/x = 9.17 - 400/y
200/x = (9.17y - 400)/y
Cross multiplying, it becomes
200y = x(9.17y - 400)
y = x(9.17y - 400)/200 - - - - - - - 2
Equating equation 1 to equation 2, it becomes
x(8.67y - 280)/320 = x(9.17y - 400)/200
Dividing both sides by x, it becomes
(8.67y - 280)/320 = (9.17y - 400)/200
Cross multiplying, it becomes
200(8.67y - 280) = 320(9.17y - 400)
1734y - 56000 = 2934.4y - 128000
2934.4y - 1734y = - 56000 + 128000
1200.4y = 72000
y = 72000/1200.4
y = 59.98 km/h
Substituting y = 59.98 into equation 1, it becomes
59.98 = x(8.67 × 52.98 - 280)/320
52.98 × 320 = x(459.3366 - 280)
16953.36 = 179.3366x
x = 16953.36/179.3366
x = 94.53 km/h
Find the polynomial f(x) of degree 3 has the following zeros
9, 0, -7
Answer:
x³ - 2x² - 63x
Step-by-step explanation:
Zeroes = 9 , 0 , -7
Factors = (x - 9) x (x + 7)
Polynomial = x (x - 9)(x + 7)
Polynomial = x (x² -2x - 63)
= x³ - 2x² - 63x
Choose the correct simpilfication of (7x^3-8x-5)+(3x^3+7x+1)
Answer:
Step-by-step explanation:
(7x³-8x-5)+(3x³+7x+1) =7x³ - 8x - 5 + 3x³ + 7x + 1
Combine the like terms
= 7x³ + 3x³ - 8x + 7x - 5 + 1
Now, add/ subtract the like terms
= 10x³ - x - 4
Answer:
[tex]10x^{3} -x-4[/tex]
Step-by-step explanation:
[tex](7x^3-8x-5)+(3x^3+7x+1)[/tex]
[tex]7x^3+-8x+-5+3x^3+7x+1[/tex]
[tex](7x^{3} +3x^{3} )+(-8x+7x)+(-5+1)[/tex]
[tex]10x^{3} -x+-4[/tex]
(3xy)^2x^4y/x^5
A. 3y^3
B. 3xy^3
C. 9xy^3
D. 9x^5y^3
Answer:
It is the third one
Step-by-step explanation
3 times 3 equals 9.
By solving Power equation, answer of the equation [tex]\frac{(3x)^2x^4y}{x^5}[/tex] is 9xy³.
What is Power equation?The power is "a number says how many times to use the number in a multiplication".
According to the question,
[tex]\frac{(3x)^2x^4y}{x^5}[/tex] = [tex]\frac{9x^2y^2x^4y}{x^5}[/tex] [using power equation]
= 9xy².
Hence, By solving Power equation answer of the equation [tex]\frac{(3x)^2x^4y}{x^5}[/tex] is 9xy³
Learn more about Power equation here
https://brainly.com/question/1764021
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Create a trinomial where the GCF of the trinomial is 5m^3
Answer:
5m^5 + 15m⁴ + 35m³
Step-by-step explanation:
GCF means greatest common factor.
The Greatest common factor of two monomials for example, is the product of the common prime factors of both monomials.
We are to develop a trinomial which would have 5m³ as its greatest common factor.
To Create a trinomial where the GCF of the trinomial is 5m³, we would find a trinomial that can't be factored and multiply it by 5m³.
A trinomial is a polynomial which has three terms (monomials) connected by addition or subtraction.
Let's consider the trinomial m² + 3m + 7
This trinomial cannot be factored because there are no common factors between them. The constants to be considered are 3 and 7.
3 is a prime number and therefore can only be factored to 1 and 3.
7 is a prime number and therefore can only be factored to 1 and 7.
Since there are no common factors other than 1, the constants cannot be factored.
By multiplying 5m³ with the trinomial m² + 3m + 7
We would have:
5m³ (m² + 3m + 7) = 5m^5 + 15m⁴ + 35m³
From the above, the trinomial where the GCF of the trinomial is 5m³ = 5m^5 + 15m⁴ + 35m³
Please answer correctly!!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer:
60
Step-by-step explanation:
At the time of launch, x will be 0 because the object hasn't been thrown yet. Therefore, its height will be 60.
Answer:
The answer for it is 60.
Step-by-step explanation:
5*0+20*0+60
And due to the simplification by keeping the value 0 in place of x. So if any term is multiplied with 0 the value of that term will be 0. So by adding 0+0+60 . Therefore , the height will be 60 .
More explanation:
At the time of launch, x will be 0 because the object have not been thrown yet.So its height will be 60.
A linear function has a slope of -g and a y-intercept
13. How does this function compare to the linear function that is represented
by the equation Y + 11 =-
(x-18)?
It has the same slope and the same y-intercept.
It has the same slope and a different y-intercept.
It has the same y-intercept and a different slope.
It has a different slope and a different y-intercept.
Save and Exit
Next
Submit
Mark this and retum
Answer:
It has the same slope and a different y-intercept
Step-by-step explanation:
Y + 11 = -(x-18)
Y + 11 = -x + 18
Y = -x +7
thus it has a slope of -g too but y-intercept was 7 instead of 13
how many diagonals are there in a polygon of 6o sides
Answer:
9 diagonals
Step-by-step explanation:
Number of Diagonals = n(n-3)/2
For example, in a hexagon, the total sides are 6. So, the total diagonals will be 6(6-3)/2 = 9.
Answer:
9 diagonals
Bit by bit clarification:
Number of Diagonals = n(n-3)/2
For instance, in a hexagon, the complete sides are 6.
Along these lines, the complete diagonals will be 6(6-3)/2 = 9.
the value of 1.666.. in the form p/q is ?
Answer:
15/9
Step-by-step explanation:
let the recurring decimal be (n)
we need to find a number that will subtract the number to remove the decimal
the nearest number is 16.666...
because the decimal has moved one step ahead, we will call the new number (10n)
16.666 - 1.666 = 15.
10n - n = 9n.
=15/9
Based on the side lengths given (a, b, and o, which triangles are right triangles?
Answer:
2 & 3
Step-by-step explanation:
Pythagorean Theorem is [tex]a^2+b^2=c^2[/tex].
If the values given in each option satisfy the theorem, the sides will make a right triangle.
For Option One:[tex]4^2+6^2=8^2\\=> 4^2=16\\=> 6^2=36\\=>8^2 =64\\16+36=64\\\boxed{52\neq 64}[/tex]
The sides would not make a right triangle.
For Option Two:[tex]6^2+8^2=10^2\\=> 6^2 = 36\\=> 8^2=64\\=> 10^2=100\\36+64=100\\\boxed{100=100}[/tex]
The sides would make a right triangle.
For Option Three:[tex]5^2+6^2=\sqrt{61}^2\\ => 5^2=25\\=>6^2=36\\=>\sqrt{61}^2=61\\ 25+36=61\\\boxed {61=61}[/tex]
The sides would make a right triangle.
For Option Four:[tex]6^2+9^2=12^2\\=> 6^2=36\\=>9^2=81\\=>12^2=144\\36+81=144\\\boxed{117\neq 144}[/tex]
The sides would not make a right triangle.
The correct answer should be options two and three.
A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject. A 4-column table with 3 rows. The first column has no label with entries likes algebra, does not like algebra, total. The second column is labeled likes geometry with entries a, c, 53. The third column is labeled does not like geometry with entries b, 6, e. The fourth column is labeled total with entries 45, d, 75. What are the correct values of a, b, c, d, and e? a = 16, b = 29, c = 22, d = 30, e = 24 a = 29, b = 16, c = 30, d = 22, e = 24 a = 16, b = 29, c = 24, d = 22, e = 30 a = 29, b = 16, c = 24, d = 30, e = 22
Answer:
Step-by-step explanation:
Let x be the number of students that like both algebra and geometry. Then:
1. 45-x is the number of students that like only algebra;
2. 53-x is the number of students that like only geometry.
You know that 6 students do not like any subject at all and there are 75 students in total.
If you add the number of students that like both subjects, the number of students that like only one subject and the number of students that do not like any subject, you get 75.
Therefore,
[tex]x+45-x+53-x+6=75.[/tex]
Solve this equation:
[tex]104-x=75,\\\\x=104-75,\\\\x=29.[/tex]
You get that:
29 students like both subjects;
45-29=16 students like only algebra;
53-29=24 students like only geometry;
24+6=30 students do not like algebra;
16+6=22 students do not like geometry.
a = 29, b = 16, c = 24, d = 30, e = 22
The correct choice is D.Answer:
The answer is D.
Step-by-step explanation:
write an expression that shows the cost of brochures each brochure cost 40 cents i need 4100 brochures and have a total budget of 1900 dollars
Answer:
1900 ≥50 + .40 * b
1900 ≥50 + .40 *4100
Step-by-step explanation:
Cost = rush fee + cost per brochure * number of brochures
cost= 50 + .40 * b where b is the number of brochures
This must be less than or equal to 1900 dollars
1900 ≥50 + .40 * b
We are getting 4100 brochures
1900 ≥50 + .40 *4100
1900≥50 + 1640
1900 ≥1690
We can get the brochures
Calculate the volume of this cylinder, giving your answer to 1 decimal place.
Answer:Sorry but I know only this much...
Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me....
Answer:
192π^3
Step-by-step explanation:
the formula for calculating volume of a cylinder is πr^2h (r : radius, h : height)
π×4^2×12 = 192π^3
