What is the solution to the equation y/y-4 - 4/y+4 = 32/y^2-16
O y=-4 and y=4
O y=0
O all real numbers
O no solution

Answer:

its 100 ml

Step-by-step explanation:

I believe no hate if wrong

Answer:

It is equal is 100 mL

Step-by-step explanation:

10*10^1=100

The number that Bernardo has to tell to his grandfather to receive the gifts are 30, 64, 12, 90, 84, 32, 20, 216, 400 and 440.

Multiples, as defined in mathematics, are the numbers obtained by multiplying integer(s) with a specific given number. Multiple of 7 include 14, 21, 28, 35, 42, 49, etc.

Now, Bernardo's grandfather has asked him to tell the multiples of several numbers.

The best way to find the multiple of a number is to multiply that number to the multiple that we have to find.

So, now we can say,

10 has its ninth multiple as 90 while 12 is associated with 84 as the seventh multiple. The second multiple of 16 yields 32 - this can be seen. Meanwhile, 6 is represented by 30, and 8's eighth multiple is 64. A multiple of 4 can also be seen in 12, the third time around.

400 is the fourth multiple of 100, 20 is the twentieth multiple of 2, 440 is the tenth multiple of 44, and 216 is the sixth multiple of 36.

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Complete question - Bernardo's grandfather proposed a challenge that he had to

find several multiples of different numbers to be able to

receive a gift, what he said was: what is the fifth multiple

of 6, the eighth multiple of 8, the third multiple of 4, the ninth

multiple of 10, the seventh multiple of 12 and the second multiple

of 16? What are the numbers that Bernardo should say to

your grandfather to win the prize? Grandpa decides to give Bernardo more numbers: the twentieth multiple of 2, the sixth multiple of 36, the fourth multiple of 100, and the tenth multiple of 44. What are these numbers?

The x- and y-coordinates of the center of mass are; (20, 0)

The center of mass is the location where the sum of the relative position of the masses in a mass distribution is zero. It is the point where force can be applied on the distributed mass without causing a rotation of the system.

The mas of the steel plate = 800 g = 0.8 kg

The base length of the isosceles triangular plate = 20 cm = 0.2 m

The height of the isosceles triangular plate = 30 cm = 0.3 m

Considering a small strip of height, dx and width, I, we get

Area of small strip, dA = I·dx

Density of the plate for a unit thickness, ρ = M/A

Density of the small strip of mass dm = dm/dA

Considering the density of the plate as uniform, we get;

\(\displaystyle {\frac{dm}{dA} =\frac{M}{A}\)

Therefore;

\(\displaystyle {dm=\frac{M}{A}\times dA}\)

The area of the triangular plate, A = (1/2) × 0.2 m × 0.3 m = 0.03 m²

Mass of the plate, M = 0.8 kg

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx}\)

The width of the small strip, I, located at a distance x from the vertex of the triangular plate, using similar triangles, indicates;

\(\dfrac{I}{20} = \dfrac{x}{30}\)

\(I=20\times \dfrac{x}{30} = \dfrac{2}{3} \cdot x\)

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx} = \frac{0.8}{0.03}\times \dfrac{2}{3} \cdot x\cdot dx}\)

The center of mass, \(x_{cm}\), can be obtained with the formula; \(\displaystyle {x_{cm} = \dfrac{1}{M} \cdot \int\limits {x} \, dm }\)

Therefore; \(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx }\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx } = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0\)

\(\displaystyle {x_{cm} = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0=\frac{200}{9} \times \frac{0.027}{3} =0.2\)

The location of the x-coordinate center of mass, \(x_{cm}\) = 0.2 m = 20 cm from the vertex, which is the same location as the x-coordinate of the centroid of the plate of uniform density.

The plate is symmetrical about the x-axis, therefore, the y-coordinate of the center of mass is along the x-axis, which is \(y_{cm}\) = 0

The coordinate of the center of mass = (0.2, 0)

Part of the question requires the location of the coordinate of the center of mass of the triangular plate

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Answer:

math is the worst

Step-by-step explanation:

Answer:

The value of factorial of 10 is 3628800,

i.e. 10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 3628800.

\(\large\huge\green{\sf{Answer:-}}\)

\(10! \: = 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times\\ 3 \times 2 \times 1 =3628800 \\ \)

\( \cos(x) = \frac{8}{18} \\ \)

\(x = {cos}^{ - 1} ( \frac{8}{18} ) \\ \)

\(x = 63.6122\)

Thus :

\( x = 63.6\)

\(1 + 1 \times 2 \\ = 1 + 2 \\ = 3 \\ \\ 1 + 4 \times 5 \\ = 1 + 20 \\ = 21 \\ \\ 4 + 5 \times 6 \\ = 4 + 30 \\ = 34\)

Answer:

The average GPA would be 1.8

Step-by-step explanation:

Hope this is helpful. I did a test like this exact question and I got it right.

The minimum distance you can park from a driveway leading from a fire department can vary depending on the local laws and regulations in your area.

However, it is important to keep in mind that fire departments need clear and unobstructed access to their driveways at all times, in case of an emergency.
In many areas, the law requires a minimum distance of 20 feet from the edge of a fire department driveway to the nearest parked vehicle. This distance allows fire trucks and emergency vehicles enough space to turn, enter, and exit the driveway without any obstruction or delay.
It is also important to note that blocking a fire department driveway can result in a hefty fine or even a vehicle being towed away. This is because obstructing the entrance and exit to a fire department can cause unnecessary delay, which can be dangerous or even fatal in emergency situations.
Overall, it is important to always be aware of your surroundings and the laws in your area when parking near a fire department or any other emergency service. By doing so, you can ensure the safety and accessibility of these essential services at all times.

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The interest earned by Mrs Grey over the 7 years is R5670. The cost of the television set 5 years ago was R20,600.

4.1.1 To calculate the interest earned by Mrs Grey over 7 years, we use the formula for simple interest: Interest = Principal x Rate x Time. Mrs Grey's principal is R18,000 and the rate is 4.5% per annum. The time is 7 years. Using the formula, we can calculate the interest as follows:

Interest = R18,000 x 0.045 x 7 = R5670. Therefore, Mrs Grey has earned R5670 in interest over the 7 years.

4.1.2 To calculate the cost of the television set 5 years ago, we need to account for the inflation rate. The cost of the television set now is R27,660. The average rate of inflation over the last 5 years is 6.7% per annum. We can use the formula for compound interest to calculate the original cost of the television set:

Cost 5 years ago = Cost now / (1 + Inflation rate)^Time

Cost 5 years ago = R27,660 / (1 + 0.067)^5 = R20,600. Therefore, the cost of the television set 5 years ago was R20,600.

4.1.3 To determine the rate of simple interest Mrs Grey should have invested her money at 7 years ago, we can use the formula for interest: Interest = Principal x Rate x Time. We know the principal is R18,000, the time is 7 years, and the interest earned is R5670. Rearranging the formula, we can solve for the rate:

Rate = Interest / (Principal x Time)

Rate = R5670 / (R18,000 x 7) ≈ 0.0448 or 4.48% per annum. Therefore, Mrs Grey should have invested her money at a rate of approximately 4.48% per annum to have earned enough interest to purchase the television set using only her original investment and the interest earned over the 7 years.

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The difference between the two diameters in meters for the red blood cells and the coarse grain of sand would be = 0.0000625meter

The diameter of red blood cell = 7.5 micrometers.

The diameter of coarse grain of sand = 70 micrometers.

The difference between the two = 70-7.5 = 62.5 micrometers.

To convert to micrometers to meters divide by 1000000;

That is 1 meter = 1000,000 micrometers

X meter = 62.5 micrometers

make X meters the subject of formula;

X = 62.5/1000000

X= 0.0000625 meter

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Answer:

26°

Step-by-step explanation:

<DFG+<EFG = 180°( Being sum of adjacent angle in linear pair is 180°)

You can also write;

<DFG+<EFG = 180°( Being sum of supplementary angle is 180°)

By putting the value of those angles;

5y+3+(2y-5)=180

5y+3+2y-5=180

5y+2y-5+3 =180°

7y-2=180°

7y=180+2

7y=182

y=182/7

y=26°

Hence,

The value of y is 26°

Answer:

Points (-4,0) and (5,0) will lie on the x axis.

Step-by-step explanation:

To know if a point lies on the x axis, the y - value of a coordinate will always be zero. Here is the graph below:

Answer:

the answer could be 60

Step-by-step explanation:

I could be wrong sorry if I am

The first four terms in the sequence are 5, 2, -1 and -4

From the question, we have the following parameters that can be used in our computation:

an = -3 + a(n - 1)

Where

a(1) = 5

This means that

a(2) = -3 + 5

a(2) = 2

a(3) = -3 + 2

a(3) = -1

a(4) = -3 - 1

a(4) = -4

Hence, the first four terms are 5, 2, -1 and -4

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The lines of equations y = 3x - 8 and y = 3x - 12 have same slope but they are parallel to each other and have no solution.

What is system of equations?

A System of Linear Equations is when we have two or more linear equations are working together.

The first equation is y = 3x - 8.

The second equation is y = 3x -12.

Substituting the value of y from equation 1 in equation 2 -

y = 3x -12

3x - 8 = 3x - 12

3x - 3x = -12 + 8

0 = 4

There is no x-intercept.

Substituting the value of x in equation 1 -

y = 3x - 8

y = 3(0) - 8

y = 0 - 8

y = -8

So, the lines do not intersect each other.

Therefore, the equations have same slope but do not have any solution.

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Answer:

= 50

Step-by-step explanation:

8x-6

x = 7

8(7) - 6

56-6

=50

Answer:

8x - 6

8 x 7 - 6

56 - 6

Step-by-step explanation:

Substitute x for 7 use Order of Operations for right answer.

Answer:

The short answer is there isn’t.

Start by writing each of these as an expression:

x * y = 60

x + y = 7

Next, solve each for the same variable; in this case, y:

(x * y) / x = 60 / x

.: y = 60 / x

(x + y) - x = 7 - x

.: y = 7 - x

Next, replace y of the second expression to the first

y = 60 / x & y = 7 - x

.: 7 - x = 60 / x

Now, solve for x:

(7 - x) * x = (60 / x) * x

.: x * 7 - x^2 = 60

This is quadratic, so write it in the form of ax2 + bx + x = 0

(-1)x^2 + (7)x + (-60) = 0

.: a = -1, b = 7, c = -60

Finally solve for b:

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

.: x = (-7 +- sqrt(7^2 - 4*-1*-60)) / (2 * -1)

.: x = (-7 +- sqrt(49 - 240)) / -2

.: x = (-7 +- sqrt(-191)) / -2

The square root of a negative value is imaginary and thus there’s no real answer to this problem.

Answer:

  3200

Step-by-step explanation:

You want the value of C(10) when C(q) is defined as q³ -30q² +500q +200.

The cost of manufacturing 10 units is ...

  C(10) = 10³ -30·10² +500·10 +200

  C(10) = 3200 . . . . . . currency units

The cost of manufacturing 10 units of the commodity is 3200.

The identity is established as sin 0 + sin 50 - sin 0 * sin 50 * tan (30) * tan 20 = 0.766.

To establish the identity, we can simplify each term individually and then combine them using trigonometric identities.

Simplify sin 0:

The sine of 0 degrees is 0.

Therefore, sin 0 = 0.

Simplify sin 50:

We can use the value of sine for 50 degrees from a table or calculator.

Let's assume sin 50 ≈ 0.766.

Simplify sin 0 - sin 50:

Substituting the values from the previous steps, we have:

sin 0 - sin 50 = 0 - 0.766 = -0.766.

Simplify tan (30):

The tangent of 30 degrees can be determined using the value of sine and cosine for 30 degrees.

Let's assume tan 30 ≈ sin 30 / cos 30 ≈ 0.577.

Simplify tan 20:

The tangent of 20 degrees can be determined in a similar way.

Let's assume tan 20 ≈ sin 20 / cos 20 ≈ 0.364.

Now, let's substitute the values into the expression:

sin 0 + sin 50 - sin 0 * sin 50 * tan (30) * tan 20

0 + 0.766 - 0.766 * 0 * 0.577 * 0.364

0 + 0.766 - 0 = 0.766

Therefore, the identity is established as sin 0 + sin 50 - sin 0 * sin 50 * tan (30) * tan 20 = 0.766.

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It will take 3 years for the value of the computer of initial value $1000 to reach $512.

Given, Timothy purchased a computer for $1,000.

The value of the computer depreciates by 20% every year.

we have to find the number of years value of computer will take to reach $512.

Let, the function representing this situation be,

V(t) = AB^t

where, A is the initial value of the computer and B is the depreciating rate.

So, V(t) = (1000)(1 - 20/100)^t

V(t) = (1000)(0.8)^t

Now, the value will be, 512

512 = 1000(0.8)^t

0.512 = (0.8)^t

t = 3

So, it will take 3 years for the value of the computer of initial value $1000 to reach $512.

Hence, it will take 3 years for the value of the computer of initial value $1000 to reach $512.

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The perimeter of a polygon requires us to find the length of all its sides and add them together.

To find the perimeter of a polygon, we need to add up the lengths of all its sides. If we have the measurements of all sides, we can simply add them together to get the perimeter. However, if we don't have all the measurements, we need to use some geometry concepts to find the missing ones.

One way to do this is to divide the polygon into triangles and use the Pythagorean theorem to find the missing side lengths. Another way is to use the properties of similar triangles to find corresponding sides.

Once we have all the side lengths, we can add them together to get the perimeter of the polygon. It is important to make sure that all the measurements are in the same units before adding them.

In summary, finding the perimeter of a polygon requires us to find the length of all its sides and add them together. There are various methods to find missing side lengths, such as using the Pythagorean theorem or similar triangles.

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Hello there, hope you are having a nice day.

This is the rule for rounding:

    - Example: 3.4 =>3

     - Example: 6.7 =>7

Using this rule, we can round 3.5:

3.5 =>4

Hope it helps. Ask me if you have any queries.

Please mark Brainliest. It would mean a lot to me.

~An emotional teen who helps others with joy

Good luck.

47 is an odd number and 458, 15280, 1600 are even numbers.

We know,

An even number is a number that can be divided by 2 without a remainder, while an odd number cannot be divided evenly by 2.

I) 47 is an odd number because it can't be divisible evenly by 2. 47 is only divisible by 1 and itself, and when divided by 2, the quotient is not a whole number.

So, 47 is an odd number.

II) 458 is an even number because it can be divided evenly by 2. When divided by 2, the quotient is a whole number which means it is an even number.

III) 15280 is an even number because it can be divided evenly by 2. When divided by 2, the quotient is a whole number, which means it is an even number.

IV) 1600 is an even number because it can be divided evenly by 2. When divided by 2, the quotient is a whole number, which means it is an even number.

So, 47 is an odd number and 458, 15280, 1600 are even numbers.

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Correct question is "Classify the following into odd and even numbers

I) 47. II) 458 II) 15280 Iv) 100"

The x-intercept and y-intercept are x-intercept = 1 and 5 and y-intercept = 5

Given that

g(x) = (x - 1)(x - 5)

Substitute 0 for x in g(0)

So, we have

g(0) = (0 - 1)(0 - 5)

Evaluate

g(0) = 5

Set g(x) = 0 for the x-intercept

So, we have

(x - 1)(x - 5) = 0

Evaluate

x-intercept = 1 and 5

The y-intercept is the same as g(0)

The domain is all set of real values

For the range, we have

g(x) = (x - 1)(x - 5)

Express in vertex form

g(x) = (x - 3)² - 4

So, the range is

g(x) ≥ -4

From g(x) = (x - 3)² - 4, the vertex is

Vertex = (3, -4)

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The triangle's third side is between 1.333 and 5.333 feet long.

One that assumes the longer value supplied is the longest side in the triangle and one that assumes the third side is the longest side in the triangle to determine a range of values for the third side when given two lengths. For the solution, combine the two inequality's.

Given:

Two sides are 2 feet and 40 inches (3.33 ft)

Now, the range for the third side can be

2+ 3.333 = 5.333 feet

and, 3.333 - 2= 1.333 feet

Hence, the third side of the triangle lies between 1.333 feet and 5.333 feet.

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To connect root position triads in minor keys and alter the V chord, the common tone is retained in the same voice. In numbers 6-10. The Roman numerals for the resulting triads are provided.

When connecting root position triads in minor keys and altering the V chord to a major triad, there are specific rules to follow. For triads numbered 1-5, the common tone must be retained in the same voice. This means that one note from the previous triad remains the same in the next triad, creating a smooth connection between the chords. The Roman numerals assigned to these triads will depend on the key and the specific chord tones.

For triads numbered 6-10, the three upper voices (which refer to the soprano, alto, and tenor parts) move in contrary motion to the bass. This means that as the bass moves in one direction, the other three voices move in the opposite direction, creating harmonic and melodic interest. Again, the Roman numerals for these triads will depend on the key and the chord tones involved.

It's important to note that without specific key and chord information provided, it's not possible to provide the exact Roman numerals for each triad. The Roman numeral system is used to indicate the scale degree of each chord within a given key, and without that context, the specific chord symbols cannot be determined.

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Answer:

Im pretty sure it's 7.6.

Step-by-step explanation:

So 5 gallons is the same as 19 liter. 19/5= 3.8

then, 2x3.8=7.6

if im wrong correct me plz.

Answer:2=7.6

Step-by-step explanation:2 =

Answer:

The answer is "16,000"

Step-by-step explanation:

In this question the amounts of panels created by B the x.

\(\therefore\)

Calculating the amounts of defective panels from B:

\(\to \frac{1}{100} \times x = 0.01x\)

Calculating the amounts of defective panels from A:

\(\to \frac{4}{100} \times 8000 = 320\)

Calculating the total defective panels are :

\(\to 320+ 0.01x\)

Calculating the total panels manufactured:

\(\to 8000 + x\)

when the overall percentage of the defective panels is \(2\%\)

\(\to \frac{(320 + 0.01x)}{(8000 + x)} = 0.02\\\\\to (320 + 0.01x) = 0.02 (8000 + x)\\\\\to 320 + 0.01x = 160 + 0.02x\\\\\to 320 -160 = -0.01x + 0.02x\\\to 160 = 0.01x\\\\\to x=\frac{160}{0.01}\\\\\to x=16,000\\\\\)