Which expression is equivalent to -4 -( -9)

Answer:

5/12

Since demoninators aren't the same we have to find a number that both numbers can divide into, which will be 84

5/84 & 4/84

Now whatever we do to the top we do to the bottom and so on. So how many times did it take those numbers to reach 84?

5/12 took 7 times to reach 84 so it will now be 5x7 like how we times 12 7 times to reach 84: 35/84

It took a shorter time for 4/21 to reach 84 as it only took 4 times so we times 4 by 4 and we get 16/84

Now let's compare: 16/84 or 35/84? We can see the bigger one is the second one, which was originally 5/12 and that's how you get the answer!

Hoped that helped

Answer:

5/12

Step-by-step explanation:

a ) 5/12

= 5/12 times 100% = 125/3 = 42 % rounded of to the nearest whole number

= 42 %

b ) 4/21

= 4/21 times 100% = 400/21 = 19 % rounded of to the nearest whole number

= 19 %

Answer:

Step-by-step explanation:

Answer:

They scored 66 points

Step-by-step explanation:

Sally scored 45% out of the 100%

And there are 120 points in all.

To find the rest of the teams points you have to subtract Sally's points:

100% - 45% = 55

So to find this out you solve for x (points):

55/100 = x/120

100x = 6,600

100x = 6,600

100         100

x = 66

Step-by-step explanation:

Answer:

\(49941 \: and \: 486\)

Step-by-step explanation:

\(1. \: - 729 + 37 {}^{3} - 10 \\ 2. \: - 729 + 50653 - 10 \\ 3. \: 49924 - 10 \\ 4. \: 49941 \\ \\ \\ 1. \: 474 - 3 + 8 + 7 \\ 2. \: 471 + 8 + 7 \\ 3. \: 479 + 7 \\ 4. \: 486\)

Answer:

1) Incorrect should be 35%, 2)incorrect should be 23%

Step-by-step explanation:

37 + 24 = 61   61 + 54 = 115   115 + 36 = 151 college students

1) 54  =   x                    2)  36 = x

  151 = 100                       151 = 100

151x/151 = 5400/151    151x/151 = 3600/151

     x = 35.7...                      x = 23.8...

  do not round              do not round

up since you can't      up since you can't

 get more people       get more people

Answer:

12 treat bags

Step-by-step explanation:

The theoretical probability of drawing a blue marble from a jar containing 21 brown and 19 blue marbles is 19/40, or 0.475.

To calculate this, divide the number of blue marbles by the total number of marbles in the jar. 19 divided by 40 equals 0.475, or 19/40. This means that there is a 47.5% chance of drawing a blue marble from the jar.

The probability of drawing a specific marble from the jar can be expressed using the formula P(A) = n(A)/n(T).

In this example, the probability P(A) is the chance of drawing a blue marble, n(A) is the number of blue marbles (19) and n(T) is the total number of marbles in the jar (40). Therefore, P(A) = 19/40 = 0.475.

To know more about theoretical probability click on below link:

https://brainly.com/question/30604977#

#SPJ11

The answer is approximately 0.8413. We are given that the heights of 18-year-old males in the United States are normally distributed with a mean of 70.1 inches and a standard deviation of 2.7 inches.

Let X be the height of a randomly chosen 18-year-old male. Then X ~ N(70.1, 2.7^2).

We are asked to find the probability that X is less than 72.8 inches.

Using the standard normal distribution, we can standardize X as follows:

Z = (X - μ) / σ = (72.8 - 70.1) / 2.7 ≈ 1.00

where μ is the mean and σ is the standard deviation.

The probability that a standard normal random variable is less than 1.00 is approximately 0.8413, which can be obtained from a standard normal table or calculator.

Therefore, the probability that a randomly chosen 18-year-old male is less than 72.8 inches is approximately:

P(X < 72.8) = P(Z < 1.00) ≈ 0.8413

So the answer is approximately 0.8413.

Learn more about deviation here:

https://brainly.com/question/31835352

#SPJ11

Answer:

Step-by-step explanation:

In a parallelogram, opposite sides are equal and parallel, which means opposite interior angles are equal.

5x - 3 = 14x - 48

-3 = 9x - 48

45 = 9x

5 = x

5(5) - 3 = 14(5) - 48

22 = 22

The value of x that would make ABCD a parallelogram is x = 5.

Hope this helps =)

Water will reach a depth of 12 meters after 3.1 hours approximately.

What is function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.

Main body:

Function representing the level of water by 'y' and number of hours by 'x' is,

y = 2.5 cos (2πx/12.5)+12

For y = 12 meters, (Substitute the value of y)

12 = 2.5 cos (2πx/12.5)+12

12 -12 = 2.5 cos (2πx/12.5)

cos (2πx/12.5) = 0

2πx/12.5 = π/2

πx/12.5 = π/4

x = 3.125

x ≈3.1 hours

Therefore, water will reach a depth of 12 meters after 3.1 hours approximately.

Learn more about depth,

brainly.com/question/6997514

#SPJ4

Answer:

The answer is that the ball was in the air for 0.56 seconds when it was 54 feet above the ground. This was determined by using the Quadratic Formula to solve the equation 54 = -16s^2 + 96s for the variable s.

Step-by-step explanation:

To solve this equation, we can use the Quadratic Formula, which states that for a quadratic equation in the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

In this case, a = -16, b = 96, and c = -54. Plugging these values into the Quadratic Formula, we get:

s = (-96 +/- sqrt(96^2 - 4 * -16 * -54)) / (2 * -16)

= (96 +/- sqrt(9216 + 4352)) / -32

= (96 +/- sqrt(13,568)) / -32

Since we want the time (in seconds) that the ball was in the air, we need to find the positive solution to this equation. Thus, we have:

s = (96 + sqrt(13,568)) / -32

= (96 + 120) / -32

= 0.5625 seconds

Rounding this value to the nearest hundredth of a second, we get 0.56 seconds. This means that the ball was in the air for 0.56 seconds when it was 54 feet above the ground.

To solve this equation, we used the Quadratic Formula. This method allowed us to find the time (in seconds) that the ball was in the air by solving for the value of the variable s in the given equation. This helped Vue answer his question by providing a numerical value for the amount of time that the ball was in the air when it was 54 feet above the ground.

The general solution of the given differential equation is y(x) = C₁e^-x + 4xe^-x. The largest interval over which the general solution is defined is (-∞, ∞). There are no transient terms in the general solution.

The differential equation given can be rearranged into the form dy/dx + (x + 2)/(x + 1)y = 8xe^-x, which is a linear first order differential equation. Using the integrating factor method, an integrating factor of e^(x + 1) can be used to obtain the general solution y(x) = C₁e^-x + 4xe^-x.

The integration constant C₁ can be determined by supplying the appropriate initial conditions. As the equation is a linear first order differential equation, the general solution is valid over the entire domain of x, which is (-∞, ∞). As the equation does not involve any terms that provide a particular value for y at any point in the domain, there are no transient terms in the general solution.

Learn more about the general solutions here:

https://brainly.com/question/2284325

#SPJ4

Answer:

V(x)=(x+9) * (3) * (2x + 6)

Step-by-step explanation:

A fish tank is usually made in the shape of a 3-Dimensional rectangular prism. The volume of this shape can be obtained by using the following formula

V = w * h * l

in this formula w represents the width, h represents the heigh, l represents the length, and V represents the volume of the rectangular prism/fish tank. Therefore, we can use the function provided in the question and simply add 3 units to the length and 2 units to the width in order for it to work for our new fish tank.

V(x)=(x+9) * (3) * (2x + 6)

Answer:

it's 1 pm

you have to count the hours between 9 am and 3 pm = 6 then you divide 6 by 3 = 2 then 2*2= 4

Answer:

C = 2πr or C = πd

Step-by-step explanation:

Hope this helps :)

Answer:

You got the answers correct.

Step-by-step explanation:

i is equal to the square root of -1. This is helpful to know because you have to sort of "take out" the negative square root of 1 before simplifying these. the square root of negative 12 is the same thing as the square root of -1 times the square root of 12. Since i is the square root of -1, you can replace that part with i. So, it is i times the square root of 12. We can simplify the square root of 12 by doing the square root of 4 times 3, which is 2 root 3, like you were saying. Then, this value is multiplied by i, so the final answer is 2i (root) 3. This same thing applies to the second portion. The square root of 45 is 3 root 5, and you have to multiply that by i since it is a negative square root. Therefore, that is 3i (root) 5. Comment on my answer if you need a further clarification:)

Answer:

1

Step-by-step explanation:

Answer:

D. \(4*\frac{2}{3}\)

Step-by-step explanation:

To answer this, we can find out two different ways, one the amount of space humps above the number line or two, where the first hump ends at.

For me, I used the second technique, the first hump ends at \(\frac{2}{3} \\\\\\\\\\\\\\\), therefore the only fraction that has 2/3 in it is D.

The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

Learn more about compound inequality

brainly.com/question/17957246

#SPJ11

Answer:

37-2=35 or 3^7-2=2185

Answer: 13/20

Step-by-step explanation:

hope this helps!

The real fixed points of the map F(x) = |x| are x = 0, where the absolute value function reaches its minimum. However, there are no real fixed points for the map F(x) = xsin(x).

The eventually fixed points for F(x) = |x| are x = 0 and x = -x, where x can be any negative real number.

(a) To find the fixed points of the map F(x) = |x|, we need to solve the equation F(x) = x.

When x is positive or zero, |x| = x. So, for x ≥ 0, the equation becomes x = x, which is true for all non-negative values of x.

Hence, all non-negative real numbers are fixed points of F(x) = |x|.

When x is negative, |x| = -x. So, for x < 0, the equation becomes -x = x, which is not possible for any real number x.

Therefore, there are no negative fixed points for F(x) = |x|.

In conclusion, the real fixed points of F(x) = |x| are all non-negative real numbers (including zero).

(b) To find the fixed points of the map F(x) = xsin(x), we need to solve the equation F(x) = x.

Setting xsin(x) = x and dividing both sides by x (assuming x ≠ 0), we get sin(x) = 1.

The solutions for sin(x) = 1 are x = π/2 + 2πn, where n is an integer. These values are the fixed points of F(x) = xsin(x). However, note that these fixed points are dependent on the periodicity of the sine function and may not be real for all values of n.

Q3. The eventually fixed points for F(x) = |x| are the values that the iteration converges to when repeatedly applying the map F.

Starting from any initial value of x, the iteration follows the rule xₙ₊₁ = |xₙ|, where n represents the iteration step. Let's analyze the possible cases:

Therefore, the eventually fixed points for F(x) = |x| are x = 0 and x = -x, where x can be any negative real number.

To learn more about eventually fixed points visit:

brainly.com/question/31431243

#SPJ11

The real fixed points of the map F(x) = |x| are x = 0, where the absolute value function reaches its minimum. However, there are no real fixed points for the map F(x) = xsin(x).

The eventually fixed points for F(x) = |x| are x = 0 and x = -x, where x can be any negative real number.

(a) To find the fixed points of the map F(x) = |x|, we need to solve the equation F(x) = x.

When x is positive or zero, |x| = x. So, for x ≥ 0, the equation becomes x = x, which is true for all non-negative values of x.

Hence, all non-negative real numbers are fixed points of F(x) = |x|.

When x is negative, |x| = -x. So, for x < 0, the equation becomes -x = x, which is not possible for any real number x.

Therefore, there are no negative fixed points for F(x) = |x|.

In conclusion, the real fixed points of F(x) = |x| are all non-negative real numbers (including zero).

(b) To find the fixed points of the map F(x) = xsin(x), we need to solve the equation F(x) = x.

Setting xsin(x) = x and dividing both sides by x (assuming x ≠ 0), we get sin(x) = 1.

The solutions for sin(x) = 1 are x = π/2 + 2πn, where n is an integer. These values are the fixed points of F(x) = xsin(x). However, note that these fixed points are dependent on the periodicity of the sine function and may not be real for all values of n.

Q3. The eventually fixed points for F(x) = |x| are the values that the iteration converges to when repeatedly applying the map F.

Starting from any initial value of x, the iteration follows the rule xₙ₊₁ = |xₙ|, where n represents the iteration step. Let's analyze the possible cases:

Therefore, the eventually fixed points for F(x) = |x| are x = 0 and x = -x, where x can be any negative real number.

To learn more about eventually fixed points visit:

brainly.com/question/31431243

#SPJ11

The solution for question a is ln |y| = (1/2) x²- cos x - 1. The solution for question b is y = -8 - (16/√3) sin x. The solution for question c is ln |y/x + x sin x| = ln |x| + ln |y(π)| - ln |π|. We can show the working in the following manner.

To solve a differential equation with initial conditions, we usually follow these steps:

Separate the variables and integrate both sides to get a general solution that contains an arbitrary constant.

Use the initial conditions to find the value of the arbitrary constant and obtain a particular solution.

Check the solution by verifying that it satisfies the differential equation and the initial conditions.

For the given differential equations with initial conditions:

a. yy' = x sin x and y(0) = -1

We can separate the variables:

y' / y = x sin x / y

Integrating both sides:

ln |y| = (1/2) x² - cos x + C

where C is the arbitrary constant.

To find the value of C, we use the initial condition:

ln |-1| = (1/2) (0)² - cos 0 + C

C = -1

Therefore, the particular solution is:

ln |y| = (1/2) x²- cos x - 1

b. y' tan x = y + 8, y(π/3) = 8

We can separate the variables:

y' / (y+8) = cot x

Integrating both sides:

ln |y+8| = ln |sin x| + C

where C is the arbitrary constant.

To find the value of C, we use the initial condition:

ln |8+8| = ln |sin π/3| + C

C = ln 16 - ln √3

Therefore, the particular solution is:

ln |y+8| = ln |sin x| + ln 16 - ln √3

Simplifying:

|y+8| = (16/√3) |sin x|

y+8 = ± (16/√3) sin x

y = -8 ± (16/√3) sin x

We use the initial condition to determine the sign of the constant:

y(π/3) = -8 ± (16/√3) √3/2

y(π/3) = 8/√3

Since y(π/3) = 8, we take the negative sign:

y = -8 - (16/√3) sin x

c. xy' = y + x^2 sin x and y(π) = 0

We can separate the variables:

y' / (y/x + x sin x) = 1/x

Integrating both sides:

ln |y/x + x sin x| = ln |x| + C

where C is the arbitrary constant.

To find the value of C, we use the initial condition:

ln |y(π)/π + π sin π| = ln |π| + C

ln |y(π)| = ln |π| + C

C = ln |y(π)| - ln |π|

Therefore, the particular solution is:

ln |y/x + x sin x| = ln |x| + ln |y(π)| - ln |π|

Learn more about arbitrary constant here brainly.com/question/17225511

#SPJ4

Answer:

x=94/5

Step-by-step explanation:

10x-8=180

10x=188

x=188/180

x=94/5

Answer:

y = 64

Step-by-step explanation:

x = 1/8

Substituting x in the equation,

=> 2/(1/8) = y/4

=> 2 x 8 = y/4

=> 16 = y/4

=> y/4 = 16

=> y = 16 x 4

=> y = 64

The value of y will be;

⇒ y = 64

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 expression is,

⇒ 2/x = y/4

Now,

Since, The expression is,

⇒ 2/x = y/4

Substitute x = 1/8, we get;

⇒ 2/(1/8) = y /4

⇒ 2 × 8 = y / 4

⇒ 16 × 4 = y

⇒ y = 64

Thus, The value of y = 64

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

Step-by-step explanation:

I have no clue wait until 3:00

Here's the perfect answer.

PLEASE MARK ME BRAINLIEST