select all the equations that are equivalent to 81x^2+180x-200=100

In conclusion 1324 base 5 = 326 base 8.

To convert the number 1324 in base 5 to base 8, you can follow these steps:

Step 1: Write the given number in expanded form with powers of 5.

1324 base 5 = 1 × 5² + 3 × 5¹ + 2 × 5⁰ + 4 × 5⁻¹

Step 2: Simplify the expression to obtain the decimal equivalent.

1324 base 5 = 25 + 15 + 2 + 0.4 = 42.4

Step 3: Convert the decimal equivalent to base 8 by successive multiplication by 8.

0.4 × 8 = 3.2 (0)

0.2 × 8 = 1.6 (1)

0.6 × 8 = 4.8 (4)

0.8 × 8 = 6.4 (6)

0.4 × 8 = 3.2 (3)

0.2 × 8 = 1.6 (1)

The integer parts obtained in order give the equivalent representation of the number in base 8.

Therefore, 1324 base 5 = 42163 base 8.

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complete question:

How can I convert the number 1324 in base 5 to its equivalent representation in base 8?

The better prediction of x when y = 7, based on the scatter plot, would be A. 11.

When looking at the scatter plot, we see that the potential y values below 10, correspond with potential x values below 20. This is why the only dots in the quadrant y < 10 are also x < 20.

When we have a y value that is 7, this is below 10. What this means therefore is that the most likely value of x is 11 because 52 would be much too high.

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The description of function transformations and an example is highlighted below

To describe the transformation of the functions, we need to identify the image and the preimage of the functions to be transformed

Take for instance the function is y = x² transformed to the function y = (x + 3)²

This means that the parent function is y = x²

When compared, we can see that

x in y = x² is x + 3 in y = (x + 3)²

This means that y = x² is shifted left by 3 units to form y = (x + 3)²

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Answer:

Step-by-step explanation:

20% of 80 is 16.

6% of 150 is 9.

30% of 200 is 60.

65% of 400 is 260.

50% of 150 is 75.

1 Let x be the unknown number. Then we have the equation:

0.04x = 28

Solving for x, we divide both sides by 0.04:

x = 28 ÷ 0.04 = 700

Therefore, 28 is 4% of 700.

2. Let x be the unknown number. Then we have the equation:

0.25x = 100

Solving for x, we divide both sides by 0.25:

x = 100 ÷ 0.25 = 400

Therefore, 25% of 400 is 100.

3 Let x be the unknown number. Then we have the equation:

0.75x = 69

Solving for x, we divide both sides by 0.75:

x = 69 ÷ 0.75 = 92

Therefore, 69 is 75% of 92.

4 Let x be the unknown number. Then we have the equation:

0.15x = 9

Solving for x, we divide both sides by 0.15:

x = 9 ÷ 0.15 = 60

Therefore, 15% of 60 is 9.

5. Let x be the unknown number. Then we have the equation:

0.12x = 60

Solving for x, we divide both sides by 0.12:

x = 60 ÷ 0.12 = 500

Therefore, 12% of 500 is 60.

(3)

1 Let x be the percent, then we can set up the equation:

x/100 * 200 = 50

Solving for x, we get:

x = 25

Therefore, 50 is 25% of 200.

2 Let x be the percent, then we can set up the equation:

x/100 * 50 = 40

Solving for x, we get:

x = 80

Therefore, 40 is 80% of 50.

3 Let x be the percent, then we can set up the equation:

x/100 * 10 = 6

Solving for x, we get:

x = 60

Therefore, 6 is 60% of 10.

4. 200 is 100% of itself, so the percent is 100.

5. Let x be the percent, then we can set up the equation:

x/100 * 800 = 200

Solving for x, we get:

x = 25

Therefore, 200 is 25% of 800.

Answer:

C

Step-by-step explanation:

y = k * z , where k is any constant

x=4, z=9 , y=360

360 = k (4)(9)

360 = 36 k

k = 360/36

k = 10

y = 10 * z

when x=5 and z = 12

y = 10 (5)(12)

y = 600

The percentage increase by the given data is 25%.

We are given that;

Weight of plastic in october= 40

Weight of plastic in november= 50

Now,

To find the percentage increase of the amount of plastic from October to November, we need to find the absolute increase and divide it by the original amount, then multiply by 100 to get the percentage.

The absolute increase is the difference between the final amount and the initial amount, which is 50 - 40 = 10 pounds.

The original amount is the initial amount, which is 40 pounds.

10​/40×100=25%.

Therefore, by the percentage the answer will be 25%.

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The expression that can be represented by product (50)*(-5) is 250

Any number that can be expressed as the product of 50 and -5 can be represented using the expression (50)*(-5).

For example, if we multiply 50 and -5, we get -250. Therefore, -250 can be represented using the expression (50)*(-5).

Similarly, if we multiply 50 and -5 by any other number, we can represent the product using the expression (50)*(-5).

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The value of function (f - g)(x) will be; 2x² - 3x

Since Function is a type of relation, or rule, that maps one input to specific single output. A Linear function is a function whose graph is a straight line

We are given that the function;

f(x)=-2x²-2x+1

g(x)=x+1

(f - g)(x) = f(x) - g(x)

(f - g)(x) =2x²-2x+1  - (x+1)

(f - g)(x) = 2x²-2x+1  - x - 1

(f - g)(x) = 2x² - 3x

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The length of the line segment AB = 16 units

Given data ,

Let the length of the line segment AB = 2x - 4

Let the length of the line segment BC = 3x + 2

Now , AC = 48 units

So , AC = AB + BC

On simplifying the equation , we get

2x - 4 + 3x + 2 = 48

5x - 2 = 48

Adding 2 on both sides , we get

5x = 50

Divide by 5 on both sides , we get

x = 10 units

So , the length of AB = 2 ( 10 ) - 4

AB = 16 units

Hence , the length is AB = 16 units

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Answer: A,E or F.

Step-by-step explanation: That's the only ones that have X's and then x is 0

Step-by-step explanation:

so the total with the tip is $62.82 then divide by 3 so I believe your answer is $20.94

$15.70

Step-by-step explanation:

20% tip on $52.35 is $10.47

$10.47 + $52.35 = $62.82

$62.82 ÷ 4(him and 3 friends) = $15.70

So, each person would pay $15.70 if they split the bill evenly.

Michel-Eugène Chevreul found that the greatest intensity came from placing complementary colors next to each other. The Option C is correct.

Chevreul made great contributions to the field of color theory as he made key findings was that placing complementary colors next to each other creates the greatest intensity.

These colors are opposite to each other on the color wheel such as red & green, blue & orange or yellow &  purple. When these color are placed next to each other, these colors create a visual contrast that makes them appear brighter and more intense.

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The amount is $4,000 invested in the 3% account.

Let x be the amount invested in the 3% account. Then, the amount invested in the 5% account is $6,000 - x.

The interest earned from the 3% account is 0.03x, and the interest earned from the 5% account is 0.05($6,000 - x) = $300 - 0.05x.

The total interest earned is given as $220, so we can write the equation:

0.03x + 300 - 0.05x = 220

Simplifying the equation, we get:

-0.02x + 300 = 220

-0.02x = -80

x = 4,000

Therefore, $4,000 was invested in the 3% account.

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2,512 Ao is the times stronger the wave amplitude A of the earthquake was than Ao.

The Richter scale determines the magnitude of an earthquake based on the amplitude of seismic waves registered by a seismograph. Using the formula R =log (A/Ao) allows us to calculate the Richter scale magnitude.

A/Ao = 10^(R)

Plugging in the given magnitude of 3.4, we get:

A/Ao = 10^(3.4)

A/Ao ≈ 25.12

Therefore, the wave amplitude A of the earthquake was approximately 25.12 times stronger than Ao.

The closest option is O A=2,512 Ao.

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Answer: 380

Step-by-step explanation:

95% = 95/100

95/100 x 400

= 380

Answer: 380 students

Step-by-step explanation:

The probability that a viewer will turn to channel 8 during Jimmy's performance is 2.67%.

The show is 30 minutes long, which is equivalent to 1800 seconds. Jimmy's performance starts at 6:06 pm, which is 366 seconds into the show, and ends at 6:14 pm, which is 414 seconds into the show. Therefore, Jimmy's performance lasts for 48 seconds.

The probability of a viewer turning to channel 8 during Jimmy's performance can be calculated by dividing the length of Jimmy's performance by the length of the entire show:

P = (length of Jimmy's performance) / (length of entire show) = 48 / 1800 = 0.0267

Multiplying by 100 gives the probability as a percentage: 2.67%

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By simplification we get: [tex]2^4p^8q^1^2[/tex]

Simplify  the expression:

=> [tex](2p^2 q^3)^4[/tex]

We use the property for simplification i.e.,:

[tex](a^m)^n=a^m^n[/tex]

So, We solve by using above property:

[tex]p^2[/tex] raised to the 4 th power = [tex](p^2^.^4) =p^8[/tex]

[tex]q^3[/tex] raised to the 4 th power = [tex](q^3^.^4)=q^1^2[/tex]

Complete simplification, we get:

[tex](2p^2 q^3)^4=[/tex] [tex]2^4p^8q^1^2[/tex]

Hence, By simplification we get: [tex]2^4p^8q^1^2[/tex]

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The tires of Julián's bicycle must take 620 turns to go from his house to school.

The circumference of the tire can be calculated using the formula C = πd, where d is the diameter of the tire.

C = πd = π(45cm) ≈ 141.37cm

To find out how many turns the tires must take, we need to divide the total distance by the distance covered by one revolution of the tire:

Number of turns = Distance / Circumference

Number of turns = 877m / (141.37cm/100cm/1m)

Number of turns ≈ 620.09

Therefore, the tires of Julián's bicycle must take approximately 620 turns to go from his house to school.

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The volume of the triangular prism in the diagram is 10.5 in³

From the question, we are to calculate the volume of the the given prism.

The given prism is a triangular prism.

Volume of a triangular prism = Area of triangle × Height of prism

Thus,

Volume of the triangular prism = 1/2 × Base of triangle × Height of triangle × Height of prism

From the given diagram,

Base of triangle = 2 in

Height of triangle = 1.5 in

Height of prism = 7 in

Volume of the triangular prism = 1/2 × 2 in × 1.5 in × 7 in

Volume of the triangular prism = 10.5 in³

Hence,

Volume of the triangular prism is 10.5 in³

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After 20 years, the initial investment of $650 will have grown to $2,386.10

Now, let's consider the problem at hand: a $650 investment at 6.5% interest compounded continuously for 20 years. To calculate the final amount of the investment, we can use the formula:

A = P[tex]e^{rt}[/tex]

where A is the final amount, P is the initial investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate (in decimal form), and t is the time (in years).

Plugging in the values given in the problem, we get:

A = 650 x [tex]e^{0.065 \times 20}[/tex]

Simplifying this expression, we get:

A = 650 x [tex]e^{1.3}[/tex]

Using a calculator, we can find that  [tex]e^{1.3}[/tex] is approximately 3.6693. Therefore, the final amount of the investment is:

A = 650 x 3.6693

A = $2,386.10

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The amount of the interest, payment to principal, and new principal for the first payment is solved

Given data ,

Let the loan amount = $ 210,000

Let the interest rate r = 6.5 %

Let the monthly payment be = $ 1,362.06

Now , On calculating the monthly interest rate

Monthly interest rate = 0.065 / 12 = 0.00542 or 0.542%

Calculate the interest amount

Interest amount = 0.00542 x $210,000 = $1,138.20

Calculate the payment to principal

Payment to principal = $1,362.06 - $1,138.20 = $223.86

Calculate the new principal balance

New principal balance = $210,000 - $223.86 = $209,776.14

Hence , for the first payment, the amount of interest is $1,138.20, the payment to principal is $223.86, and the new principal balance is $209,776.14

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Answer:

  37.98°

Step-by-step explanation:

You want the value of θ in a right triangle with a hypotenuse of 13 cm and a side opposite the angle of 8 cm.

The sine relation is ...

  Sin = Opposite/Hypotenuse

In this figure, that means ...

  sin(θ°) = (8 cm)/(13 cm)

The value of θ is found using the arcsin function:

  θ° = arcsin(8/13) ≈ 37.98°

__

Additional comment

You will note the calculator mode is set to DEGrees.

The inverse function of the sine function is called the "arcsine" function. It is represented on most calculator keypads using a -1 exponent. (-1 is usually used with a function name to signify the inverse function. Here, the inverse sine function gives "the angle whose sine is ...".)

Typical units used for angles are degrees, radians, and gradians. The number that is the argument of the inverse sine function is a "pure number" with no units. If you find your calculation causes it to have units, then you need to check your work. (Here the units of cm in numerator and denominator cancel, leaving the unitless value 8/13.)

If the length of the road in miles is 65, then in meters is approximately 104607.1 meters.

To convert miles to meters, we need to use a conversion factor. There are 1609.34 meters in one mile. So, to convert 65 miles to meters, we can multiply 65 by 1609.34.

65 miles * 1609.34 meters/mile = 104607.1 meters

The units when making conversions. Miles and meters are units of length, but they are not the same. To convert from one unit to another, we need to use a conversion factor that relates the two units. In this case, we used the conversion factor of 1609.34 meters per mile to convert from miles to meters.

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Answer:

31x3

Step-by-step explanation:

there was 93 people who attended the second meeting

The coordinate of B'  after the sequence of transformations is B' = (-6, 2)

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

B = (-1, 1)

The sequence of transformations is given as

When applied, we have

Translate (‒5, ‒3)

B = (-1 - 5, 1 - 3)

B = (-6, -2)

Reflect over the x-axis

B' = (-6, 2)

Hence, the image is B' = (-6, 2)

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Answer:

19.8 units

Step-by-step explanation:

From the diagram attached, to find the length of side AB, we need to use Pythagoras theorem on the right triangles. We can see that AB is the base of the two right triangle.

For the first right triangle with hypotenuse of 13 and height of 12, let x be the base, therefore using hypotenuse:

13² = 12² + x²

169 = 144 + x²

x² = 169 - 144

x² = 25

x = √25 = 5

For the second right triangle with hypotenuse of 15 and height of 12, let y be the base, therefore using hypotenuse:

15² = 12² + y²

225 = 144 + y²

y² = 225 - 144

y² = 81

y = √81 = 9

The length of AB = x + y = 9 + 5 = 14 unit

Since for a square all the sides are equal, therefore the length of each side of the square ABCD is 14 units.

In triangle ADC, the hypotenuse = AC, AD = DC = 14 unit. Using Pythagoras:

AC² = AD² + DC²

AC² = 14² + 14²

AC² = 196 + 196 = 392

AC = √392 = 19.8

The length of its diagonal is about 19.8 units