Answer:
|A| - C = 5
Step-by-step explanation:
The maximum value that a sine function can have is 1, and the minimum value is -1.
With this information, to find the minimum value of y, we can use sin(Bx) = -1, and to find the maximum value, we can use sin(Bx) = 1. Then, we have that:
19 = A + C
-5 = -A + C
Summing both equations, we have:
14 = 2C
C = 7
Now, to find the value of A, we can use the first equation:
19 = A + C
19 = A + 7
A = 12
So the value of |A| - C is:
|12| - 7 = 12 - 7 = 5
Three friends got jobs at stores in the mall. nina earns 177.60for 14 hours of work ty earns 148.50 for 18 hours of work kim earns 137.60 for 16 hours of work
Answer:
The question might be centered on computation on the hourly rate earned by the three friends:
Nina $12.69
Ty $8.25
Kim $8.60
Step-by-step explanation:
Hourly rate earned=total earnings/hours worked
Nina:
Nina earned $177.60 for 14 hours,hence hourly rate is $ 12.69 ($177.60/14)
Ty:
Ty earned $148.50 for 18 hours period of work,thus earned $8.25 ($148.50/18)
Kim earned $137.60 for 16 hours duration of work,invariably Kim earned $8.60 ($137.60/16)
From the above analysis it is clear that Nina earned the highest hourly rate of $12.69 per hour
Answer:
Step-by-step explanation:
The question might be centered on computation on the hourly rate earned by the three friends:
Nina $12.69
Ty $8.25
Kim $8.60
Hourly rate earned=total earnings / hours of work
Nina:
Nina earned $177.60 for 14 hours,
[tex]=\frac{177.60}{14}[/tex]
= $ 12.69 per hour
Ty:
Ty earned $148.50 for 18 hours period of work,
[tex]=\frac{148.50}{18}[/tex]
= $8.25 per hour
Kim
Kim earned $137.60 for 16 hours period of work,
[tex]\frac{137.60}{16}[/tex]
$8.60 per hour
From the analysis it is obvious that Nina earned the highest hourly rate of $12.69 per hour
Graph the circle which is centered at (4,4) and has a radius of 3 units.
Answer:
Please refer to attached image for the graph of required circle.
Step-by-step explanation:
The center and radius equation of a circle is :
[tex](x-h)^2 + (y-k)^2 = (r)^2 ...... (1)[/tex]
Where the co-ordinates [tex](x,y)[/tex] from where the circle passes.
[tex](h,k)[/tex] is the co-ordinate of circle's center represented by O.
[tex]r[/tex] is the radius of circle.
Here, we are given that center of circle is at [tex](4,4)[/tex].
So, [tex]h = 4\ and\ k = 4[/tex].
and [tex]r = 3[/tex]
Hence, the equation (1) can be represented as :
[tex]\Rightarrow \left(x-4\right)^{2}+\left(y-4\right)^{2}=3^{2}\\\Rightarrow \left(x-4\right)^{2}+\left(y-4\right)^{2}=9[/tex]
Please refer to the image attached in the answer area for the graph of above equation of circle.
Center of circle is represented by O which is the co-ordinate (4,4).
(7,4) is another point on circle.
The radius of circle is also shown in the graph image attached.
Diane drove 576 miles in 8 hours. At the same rate, how many miles would she drive in 11 hours?
Answer:
576-8 hours
-11 hours
Cross multiply
=576×11=6336
6336÷8=792
so 792 miles
The Green Goober, a wildly unpopular superhero, mixes 33 3 3 liters of yellow paint with 55 5 5 liters of blue paint to make 88 8 8 liters of special green paint for his costume.
Find the total surface area of this triangular prism.
10 cm
6 cm
4 cm
8 cm
Answer:
144
Step-by-step explanation:
8x6=48
48 divided by 2=24
24x2=48
4x10=40
8x4=32
4x6=24
add them all together so 48+40+32+24=144
The triangular prism is a 3-d shape, and the total surface area of the triangular prism is 144 cm²
How to determine the total surface area?The surface area of a triangular prism is:
Area = bh + (b + s₁ + s₂) * l
The parameters in the triangular prism are:
Base length, b = 8cmBase height, h = 6cmOther sides of the base, s₁ = 10cm; s₂ = 6cmPrism height, l = 4cmSo, we have:
Area = 8 * 6 + (8 + 10 + 6) * 4
Evaluate the sum of product
Area = 144
Hence, the total surface area of the triangular prism is 144 cm²
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12. Write a function rule in slope-intercept form for the statement: the output is one less than half of the opposite of the input.
Answer: y = (1/2)*x - 1
Step-by-step explanation:
a linear relationship is something like:
y = a*x + b, lets find the values of a and b.
We have that the output (y) must be 1 less than half of the imput (x), then our relation is:
y = (1/2)*x - 1
The number that belongs in the green box
Answer:
6
Step-by-step explanation:
you combine the a2 with 5a2 as they are the only ones with a squared, combine and you get 6a2 + 6a + 7
What is the volume of a cylinder with base radius 2 and height 9
Answer:
Step-by-step explanation:
Volume of the cylinder is = π x r x r x h = π x 2 x 2 x 9 = 113.097
Saul decides to use the IQR to measure the spread of the data. Saul calculates the IQR of the data set to be 27.
Saul asks Jasmine to check his work. Saul copies the data in numerical order from least to greatest for Jasmine.
25, 30, 50, 50, 50, 50, 56, n, 250
What is the value of n that will make the IQR of the data set equal to 27?
Answer:
78
Step-by-step explanation:
The IQR is quartile 3 - quartile 1. First, we need to find the mean of the dataset, which is 50 -- the fifth number. Then, the median of the dataset on the left of the fifth number is the first quartile, and the median of the dataset on the right is the third. We get Q1 to then be halfway between 30 and 50, or 40, and Q3 to be halfway between 56 and n, so Q3 = (56+n)/2. Since we need Q3-Q1=27, or (56+n)/2-40=27, we have (56+n)/2=67 and 56+n=134, so n = 134-56=78
Sarah kept track of the points she scored during her first five basketball games in the table shown.
What must she score during game 6 to have a mean of 12 points scored per game?
A. 10
B. 12
C. 14
D. 20
E. 22
Answer:
E
Step-by-step explanation:
If you add 22 onto the sum of all the points and divide by the amount of games (6), you get 12.
The score she must get during the 6th game to have a mean of 12 point score per game is 22.
What is mean?The mean is the average of numbers.
Mathematically, it is represented as follows;
mean = sum of terms / number of terms
Therefore, to get a mean of 12 point score per game the 6th score can be calculated as follows:
let
x = 6th score
Hence,
8 + 12 + 10 + 6 + 14 + x / 6 = 12
50 + x / 6 = 12
cross multiply
12 × 6 = 50 + x
72 = 50 + x
72 - 50 = x
x = 22
Therefore, the score is 22.
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What is the solution to the system of equations below?
y = negative one-third x + 6 and y = one-third x minus 6
no solution
infinitely many solutions
(–18, 12)
(18, 0)
Answer:
D: (18,0)
I got it right on Edge 2020
An equation is formed of two equal expressions. The correct option is D.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the two systems of equations,
y = -(1/3)x + 6
y = (1/3)x - 6
Substitute the value of y from equation one with two, we will get,
-(1/3)x + 6 = (1/3)x - 6
6 + 6 = (1/3)x + (1/3)x
12 = (2/3)x
x = (12×3)/2
x = 18
Substitute the value of x in any one of the equations,
y = (1/3)x - 6
y = (1/3)(18) - 6
y = 0
Hence, the solution of the system of equation is (18, 0).
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Does the equation y = 3.0.47x represent exponential growth, exponential decay, or neither?
Answer:
exponential decay
Step-by-step explanation:
exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula y=a(1-b)x wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.Exponential decay occurs when the amount of decrease is directly proportional to how much exists.
A vehicle costs £17754 including vat at 20%. What was the price of the vehicle before vat was added
Answer:
Step-by-step explanation:I don't say you have to mark my ans as brainliest but friend if it has really helped you plz don't forget to thank me...
Work out the area of this circle give your answer in terms of pi and state it’s unit
Answer:
what circle
Step-by-step explanation:
4. Henry is diving off a diving board that is 7m above the water. After 2 seconds, he reaches his maximum
height of 9m above the water. What height will Henry be after 5 seconds?
Answer:
Step-by-step explanation:
Given
Diver is standing [tex]7\ m[/tex] above water
Diver is at a maximum height of [tex]h=7+2=9\ m[/tex] at [tex]t=2\ s[/tex]
So, at [tex]t=2\ s[/tex] his velocity is zero
After this he will be under free fall
using
[tex]s=ut+\frac{1}{2}at^2[/tex]
here [tex]u=0[/tex]
[tex]s=\frac{1}{2}\times 10\times (3)^2[/tex]
[tex]s=5\times 9=45\ m\quad \text{(not possible)}[/tex]
but the distance between the pool and Henry is [tex]9\ m[/tex]
So, he reaches the pool before [tex]5\ s[/tex]
[tex]9=\frac{1}{2}\times 10\times (t)^2[/tex]
[tex]t=\sqrt{1.8}[/tex]
[tex]t=1.34\ s[/tex]
So, he reaches pool at [tex]t=2+1.34=3.34\ s[/tex] after diving off the board
Answer:
Ignore the answer above, the correct answer is 4.5m.
Step-by-step explanation:
If you ignore all the useless information, you'll see that the parabola Henry creates has a vertex of (2,9) (because obviously the parabola opens downwards). Using this, we can deduce the vertex form of the equation for this parabola to be y=-a(x-2)²+9. This is because the vertex is always equal to (h,k), and the vertex form of any parabola is written as y=a(x-h)²+k. Now, you can solve for a to find it is 0.5, by using (0,7) as the y-intercept (aka the diving board, his starting location). Now, you can graph y=-0.5(x-2)²+9 by using mapping notation, (I find to be the easiest), or any other strategy you'd like. Once graphed, it is clear to see that when the parabola reaches 5 along the x-axis, (simpler if you think of the x-axis as time and the y-axis as height), it is plotted at 4.5 on the y-axis. This means that after 5 seconds, Henry is 4.5 meters above the water.
Solve for x can someone please answer please help
In triangle ABC and triangle ADE
angle A = angle A (common)
angle ABC = angle ADE
By AA similarity criterion , they are similar
Thus
AB/AD = BC/DE
4/12 = x/12
Thus x = 4
Answer:
4
Please see the photo I added, if you do not understand, specify in the comments...
Find the radius of a circle with a circumference of 49 yards
Answer:
7.8025
Step-by-step explanation:
You get the circumfence formula 2 * pi * r
since you are looking for the radius divide 49/2 then the answer you get divide it by pi and then you have your radius
i hope this helped<33
[I'm using 22/7 as pi in this question, for the sake of convenience, since the value of pi to be used isn't given.]
Circumference = [tex]2\pi r[/tex]
49 = 2 x [tex]\frac{22}{7}[/tex] x r
r = 49 x [tex]\frac{7}{44}[/tex]
r = approx. 7.8 yards
La matemática financiera experimentó grandes avances con la creación de la banca y los negocios creados por los emprendedores. Este tipo de matemática se puede encontrar en las transacciones que realizan los concesionarios de carros, como en el siguiente caso: el costo anual (C de operación) de un automóvil nuevo es C= f + cm; f es el costo fijo (depreciación, seguros, impuestos), c es el costo de operación por kilómetro y m es el número de kilómetros recorridos. El costo total por 15000 Km es de 3000 USD, y el costo por 20000 Km es 3500 USD. Encuentra el costo fijo y el costo por kilómetro.
2. Resuelve aplicando sistemas de ecuaciones 2x2.
Answer:
c = [tex]\frac{1}{10}[/tex]
f= 1500
Step-by-step explanation:
Tenemos la siguiente ecuación
[tex] C = f+cm[/tex]
Tenemos los siguientes valores para m=15000, c = 3000 y para m = 20000, c=3500. Es decir, tenemos las siguientes ecuaciones
[tex] 3000=f+c15000, 3500=f+c20000[/tex]
Si restamos la segunda ecuación de la primera, tenemos que
[tex] 3500-3000 = f-f+(20000c-15000c)[/tex]
Luego
[tex] 500 = 5000c[/tex]
Entonces [tex] c = \frac{500}{5000} = \frac{1}{10}[/tex]
Si tomamos la primera ecuación, tenemos que [tex]3000-\frac{15000}{10} = f[/tex]. Es decir,
[tex] 3000-1500 = f = 1500[/tex]
Esta solución, al plantear 2 ecuaciones y dos incógnitas, plantea un sistema dos por dos.
Subtract 4p^2-9p+11 from p^2-5p+4
Your answer should be a polynomial in standard form.
Answer:
[tex]
p^2 - 5p + 4[/tex]
[tex]4p^2 - 9p + 11[/tex]
-⠀⠀⠀+⠀⠀-
[tex]-3p^2 + 4p -7[/tex]
Our math team had m students last year, but this year it has already n students! By what percent did the number of students grow?
I'm in need of the full answer, not just the formula! (I'm sorry!)
Answer:
Last year we had M students.
This year we have N students.
Now, the question ask "by what percentage the number of students grow".
So we are considerating a growth, this means that we must think that M as the 100%.
Then we have that N - M is the difference between the students of last year and this year.
this means that this year we have N - M more students that last year, so the percentage of growth is:
((N - M)/M)*100%
Now you need to replace the values for N and M.
You also can notice that if N is smaller than M, you will have a negative percentage, this means that instead of a growth, we have a decrease in the number of students.
What is the measurement of x
Find the length of the side of a square if its area is 81 square inches.
A. 9 inches
B. 3 inches
C. 40.5 inches
D. 162 inches
Given that the area is 81 square inches, find out the length of the side of a square.
Area of Square = s^2
To find out the length, find the square root of 81.
Square root of 81 is 9.
9 x 9 = 81
Therefore, the length of a side on a square with an area of 81 inches is 9 inches.
Answer:
9
Step-by-step explanation:
just did it
At Pizza Time, 2 of the last 20 pizzas sold had pepperoni. What is the experimental
probability that the next pizza sold will have pepperoni?
Write your answer as a fraction or whole number
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
simplify [tex]\frac{2}{20}[/tex] to get [tex]\frac{1}{10}[/tex]
What is the center of a circle whose equation is x2 + y2 – 12x – 2y + 12 = 0?
(–12, –2)
(–6, –1)
(6, 1)
(12, 2)
Answer:
(6,1)
Step-by-step explanation:
Just look for the terms with x and y in them. Divide their coefficients by two, and multiply by -1. And then put them in an ordered pair.
So in this case, -12x --> 6 and -2y --> 1
Obviously the more orthodox way would be to actually complete the square, but I'm lazy, this way is faster, and since this seems to be multiple choice, as long as you have the correct answer, it shouldn't matter.
The required centre will be at (6,1)
Equation of a circleThe standard equation of circle is expressed as:
x^2+y^2+2gx+2fy+c = 0
where (-g, -f) is the centre of the circle
Given the equation x^2 + y^2 – 12x – 2y + 12 = 0
Compare with the general to have;
2gx = -12x
g = -6
2fy = -2y
y = -1
Since centre is at (-g, -f), hence the required centre will be at (6,1)
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please find the area of the shaded region i appreciate your help
Answer:
(4/3) π units² or (b): 33.5 units²
Step-by-step explanation:
The area of a sector of a circle of radius r and central angle Ф is a fraction of the total area of the circle: (Ф/[2π]) * πr².
Here we find the area of the circle to be A = π (8 units)².
60
Multiply that by the fraction ------------- , or 1/6
360
We get: (1/6) (π (8 units)² = (4/3) π units², or approximately 33.5 units²
.
2. What is the experimental probability of flipping a head after five
flips of the coin?
Answer:
It 2/5.
Step-by-step explanation:
Just did the question :)
The experimental probability of flipping a head after five flips of a coin can be calculated by finding the ratio of the number of times a head appears to the total number of flips.
In this case, since there are two possible outcomes - a head or a tail - the total number of flips is five. Let's say, after five flips, a head appears three times. The experimental probability of flipping a head would be calculated as 3 (number of heads) divided by 5 (total number of flips), which equals 0.6.
Therefore, the experimental probability of flipping a head after five flips of the coin is [tex]0.6, or 60[/tex] %. It is important to note that the experimental probability may not accurately represent the theoretical probability, as it is based on a limited number of trials. The theoretical probability of flipping a head is 1/2, which is [tex]0.5 or 50[/tex]%.
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The drama club is holding auditions for five different parts in a one act play. If my people audition, how many ways can the rules be assigned?
a. 362,880
b. 15,120
c. 126
d. 120
The question is not complete because it is not written correctly
Complete Question:
The drama club is holding auditions for five different parts in a one act play. If 9 people audition, how many ways can the roles be assigned?
a. 362,880
b. 15,120
c. 126
d. 120
Answer:
b. 15,120
Step-by-step explanation:
In other to solve the question above, we would use the formula for permutation.
This is because when assigning 5 DIFFERENT roles to 9 people, the order of assigning the roles is important. The formula for permutation, is used when order is involved.
Permutation (n, r) = nPr = n!/(n - r)!
In the above question,
n = 9 people
r = 5 different parts
9P5 = 9!/(9 - 5)!
= 9!/4! = 9×8×7×6×5×4×3×2×1/ 4×3×2×1
= 362880/ 24
= 15,120
Therefore, the number of ways that the roles can be assigned is 15,120 ways
Saturn’s rings span up to about (7.5 · 10^-1) of the distance between the Earth and its moons. Of Saturn’s rings span up to (2.82 · 10^5 kilometers, what is the distance between Earth and its moons.
3.76 · 10^5 km
21,150 km
21.15 · 10^4 km
2.115 · 10^5 km
Answer:
Step-by-step explanation:
Let x represent the distance between Earth and its moons.
Saturn’s rings span up to about (7.5 × 10^-1) of the distance between the Earth and its moons. It means that Saturn’s rings span is
(7.5 × 10^-1)x
If Saturn’s rings span up to 2.82 × 10^5 kilometers, it means that
(7.5 × 10^-1)x = 2.82 × 10^5
Dividing both sides of the equation by 7.5 · 10^-1, it becomes
x = (2.82 × 10^5)/(7.5 × 10^-1)
x = 3.76 · 10^5 km
Kwami has 2 large sheets of paper he cuts each piece of paper in half then he cuts the smaller pieces of paper in half 2 more time
How many pieces of paper does he have now ?
Write this as a power?
Answer:
2 to the power of 3 or 2^3
Answer: 8
Step-by-step explanation:
•2 large sheets of papers:
i)cuts in half
-left 4pieces.
ii) the cutted one (smaller ones) cutted again 1 time
-left 6pieces.
iii) the cutted one will be cutted again (2nd time.) And so...
-left 8 pieces.
Please let me know if you haven't understand any of the steps...☺
l hope u like it....
Pleeeeeeeeeeeeeeeeease mark me as a brainliestt....❤
Thankyouuuu
Graph the system of equations. Then determine whether it has no solution, one
solution, or infinitely many solutions. If the system has one solution name it. x – 3y = –3
x + 3y = 9
Answer:
One solution: (6, -1)
Step-by-step explanation:
I have attached the work to your problem below.
Please see the attachment.
I hope this helps.