y=20(1+0.025)^x growth or decay

Answer:

{-4, 2, 6, 9}

Step-by-step explanation:

I took the quiz lol

Answer:

Finished

Step-by-step explanation:

-Multiple the exponents together

-keep ×10 the same so you can apply the second law of exponents

-Then divide and subtract the exponents of ×10

-Let the 14.44 and 5.9 divide each other

-Leave it like that because it's standard form

500 grams is equivalent to approximately 17.637 ounces.

Gram is a metric unit of weight equal to one thousandth of a kilogram.

Ounce is a unit of weight equal to one sixteenth of a pound or 16 drams or 28.349 grams.

Ounce is defined as exactly 28.349523125 grams and is equivalent to one sixteenth of an avoirdupois pound.

To convert 500 grams to ounces,

We can use the conversion factor that 1 ounce is equal to 28.3495 grams.

So, we can write:

500 grams = (500 ÷ 28.3495) ounces

500 grams = 17.637 ounces (rounded to three decimal places)

Therefore, 500 grams is equivalent to approximately 17.637 ounces.

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Answer:

I think the answer is 256.224

Step-by-step explanation:

Department of Education is usually determined by the sales tax rate and the amount of the purchase.

The main sources of funding for the Department of Education come from income taxes and sales taxes.

The amount of income taxes collected by the Department of Education is usually determined by the tax code and the amount of income earned.

In addition to income taxes and sales taxes, the Department of Education also collects taxes from other sources. These include inheritance taxes, property taxes, and excise taxes. Inheritance taxes are taxes collected on the transfer of property from one person to another upon death.

Property taxes are taxes collected on the value of real estate, such as land and buildings. Excise taxes are taxes collected on the purchase of certain items, such as cigarettes and alcohol.

By understanding how taxes work, you can locate the Department of Education funding in your tax breakdown.

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The next step would be to draw an arc with the compass centered at the endpoint.

This arc should intersect the segment at two points.

We have,

After Jessica places the compass on one endpoint of the segment and opens it to a width larger than half of the segment, her next step would be to draw an arc with the compass centered at the endpoint.

The concept used in Jessica's next step is the compass-and-straightedge construction method.

By opening the compass wider than half of the segment and drawing an arc with the compass centered at one endpoint, she creates two points of intersection between the arc and the segment.

These points will divide the segment into two equal halves, allowing her to bisect the segment.

Thus,

The next step would be to draw an arc with the compass centered at the endpoint.

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Answer:

35.35 seconds

Step-by-step explanation:

The volume of the cylindrical glass can be calculated as:

V = πr²h

where r is the radius (half of the diameter), h is the height, and π is the mathematical constant π (approximately 3.14).

Since the diameter is 3 inches, the radius is 1.5 inches. The height is 10 inches. Therefore, the volume of the glass is:

V = π(1.5)²(10) ≈ 70.69 cubic inches

To fill the glass 50%, we need half of the volume:

V/2 ≈ 35.35 cubic inches

The faucet dispenses water at a rate of 1 cubic inch per second, so the time it takes to fill the glass 50% is:

t = (V/2) / (1 cubic inch per second) ≈ 35.35 seconds

Therefore, it takes approximately 35.35 seconds to fill the glass 50%. Rounded to two decimal places, the answer is 35.35 seconds.

Answer:

The similar figures have dimensions equal in proportion. But in the case of congruent, the transformation of objects is done by using rotation, reflection or translation. The shape is turned or flipped to transform into another shape.

Step-by-step explanation:

Answer: The new perimeter is 2334 inches.

Step-by-step explanation:

The way to find perimeter is 2L + 2W. The original length was 799 inches and 23 inches were added. 799 in. + 23 in. = 822 in. The width is 245 in. 2(822) + 2(245) = Perimeter. 1844 in. + 490 in. = 2334 in. is the Perimeter.

The number round to the nearest hundredth according to the rules is 7.11.

The steps to round the digits to nearest hundredth are as follows -

Step 1 - Firstly read the number and analyse the number at the position hundredth. We see that 0 is present at the hundredth position.

Step 2 - Now check the number on the right hand side of the number. We see that it is 9.

Step 3 - If the number is greater than 5, then add one to the prior digit (the one at hundredth position).

Step 4 - Write the final number using above points. The number will be 7.11. The number 3 will be dropped as we are directed to shorten the number.

The rounded number is 7.11.

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The converted value of the units 3000 meters to the required miles is given by 1. 8641 miles ( round up to four decimal places ) .

Standard form to Convert meters and miles is equal to :

1 meter = 0.000621371 miles

Now,  the value of 3000 meters in miles we get by multiplying it by 0.000621371 we get,

3000 meters = ( 3000 ) × ( 0.000621371 ) miles

                      = ( 1.864113 ) miles

                      = ( 1.8641 ) miles ( round up to four decimals places )

Therefore, the value of 3000 meters to miles is equal to ( 1.8641 ) miles ( round up to four decimals places ) .

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The possible value of x are + √15 and - √15

Angles who are of same measurement are called congruent.

Suppose that two angles ∠A and ∠B are of same measure, then

[tex]m\angle A = m\angle B[/tex]

is the notation to say that they are of same measurement, where the small m shows that its the measurement of the angles they're preceding.

Then the congruency between them as;

[tex]\angle A \cong \angle B[/tex]

angle EAB  = 2x² + x

angle EDA =  x + 30

Here we can see the angle EAB and angle EDA are equal

So,

2x² + x = x + 30

2x² + x - x = 30

2x² =  30

x² = 15

x =±√15

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Answer: the answer is 48

Step-by-step explanation:

Answer: 48

Step-by-step explanation: A triangles formula is base x height divided by 2, therefore we will do first 8 x 12 which equals 96, and divide by 2, giving us 48.

To find the minimum score you would need to be in the top 4%, we need to use the standard normal distribution and the given z-score.

First, we find the z-score corresponding to the top 4% using a standard normal distribution table or a calculator:

z = invNorm(1 - 0.04) = invNorm(0.96) = 1.7507 (rounded to four decimal places)

The minimum score needed to be in the top 4% is the score that corresponds to this z-score in the distribution of exam scores. We can use the formula for standardizing a normal random variable to find this score:

z = (X - μ) / σ

where X is the exam score, μ is the mean of the exam scores, and σ is the standard deviation of the exam scores.

Solving for X, we get:

X = zσ + μ = 1.75076.1 + 76.4 = 87.46

Therefore, the minimum score you would need to be in the top 4% is approximately 87.46 points.

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Answer:

The probability of landing on less than two sections when the spinner is spun once is 0.25.

Answer: it will be 0.25 hope this helped have a nice day :)

As required to be determined in the task content, the number 2 in this scenario equal; 275.5.

It follows from the task content that the equivalent of the number 2 according to the described context is to be determined.

Since 5 equals 649 and 1 equals 151, let 2 be equal to x;

Therefore, by interpolation;

(x - 151) / (649 - 151) = (2 - 1) / (5 - 1)

4x - 604 = 498

4x = 604 + 498

4x = 1102

x = 275.5

On this note, it follows that the number 2 equals; 275.5.

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The slope of the line passing through the points (2, 8) and (2, -4) is undefined.

The slope of the line passing through the points (-7, 8) and (2, 8) is zero.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Substituting the given data points into the slope formula, we have the following;

Slope, m = (-4 - 8)/(2 - 2)

Slope, m = (-12)/0

Slope, m = undefined.

Since the change in the y-axis equals to zero, the slope of this line is equal to zero:

Slope, m = (8 - 8)/(2 - (-7))

Slope, m = 0/9

Slope, m = 0

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20 kg is approximately equal to 44.0925 pounds ( rounded to four decimal places )

The conversion factor to convert kg to pounds is 2.20462

1 kg = 2.20462 pounds

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in pounds = The mass in kg × conversion factor

Substitute the values in the equation

1 kg = 2.20462 pounds

20 kg =  20 × 2.20462

Multiply the numbers

= 44.0925 pounds  ( rounded to four decimal places )

Therefore, 20 kg is 44.0925 pounds

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If A sheet of paper is 0.00005 meter thick, the thickness of a sheet of paper in nanometers is 50,000 nanometers. Option A is correct answer.

To convert the thickness of a sheet of paper from meters to nanometers, we need to multiply by the conversion factor of 1 meter / 1 x 10^-9 nanometers.

First, we need to convert the thickness of the paper from meters to nanometers. We can do this by multiplying the thickness in meters by the conversion factor:

0.00005 meter x (1 x 10^-9 nanometers / 1 meter) = 50 nanometers

It's important to understand the concept of scientific notation when dealing with extremely large or small numbers. In this case, we use scientific notation to express the size of a nanometer, which is a billionth of a meter. By expressing the conversion factor in scientific notation, we can easily move the decimal point to convert between units.

Therefore , the correct option is A.

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Complete question is:

A sheet of paper is 0.00005 meter thick. One nanometer is 1 x 10-meter. How thick is a sheet of paper in nanometers?

A. 50,000

B. 500,000

C. 50,000,000,000,000

D. 500,000,000,000,000

205 lbs is approximately equal to 92.9864 kg  ( rounded to four decimal places )

The conversion factor to convert lbs to kilogram is 0.453592

1 lbs = 0.453592 kg

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in kg = The mass in lbs × conversion factor

Substitute the values in the equation

1 lbs = 0.453592 kg

205 lbs =  0.453592 × 205

Multiply the numbers

= 92.9864 kg  ( rounded to four decimal places )

Therefore, 205 lbs is 92.9864 kg

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We can write the values of the function g(- 2) = 1/2 and

g(2) = 128.

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

3x + y

Given is the exponential function as -

f(x) = 8(1/4)ˣ

If the function f(x) is reflected across the {y} - axis, then the new function g(x) will be -

g(x) = f(-x)

So, we can write -

g(x) = 8(1/4)⁻ ˣ

Now, we can write -

g(- 2) = f(2) = 1/2

g(2) = f(-2) = 128

Therefore, we can write the values of the function g(- 2) = 1/2 and

g(2) = 128.

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The missing measures in △STU could be 28 degree.

WE have been Given △PQR ~ △STU,

WE need to find the missing measures in △STU.

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

Remember that we took

[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]

[tex]\dfrac{sin\angle Q}{21} = \dfrac{sin\angle T}{6}[/tex]

[tex]\dfrac{sin\angle 64}{21} = \dfrac{sin\angle T}{6} \\\\\dfrac{0.920}{21} = \dfrac{sin\angle T}{6} \\\\{sin\angle T} = \dfrac{0.920 \times 6}{21}[/tex]

Sin angle T = 0.2628

△STU = 28 degree.

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Answer:

-1/2

Step-by-step explanation:

To find the slope between two points, we use the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using the coordinates (-6, 5) and (-4, 4), we can plug in the values to get:

slope = (4 - 5) / (-4 - (-6)) = -1 / 2

Therefore, the slope from (-6, 5) to (-4, 4) is -1/2.

I hope this helps! And if you could label my answer brainliest that would be awesome.

- Dante

Question:

What is the slope from (-6,5) to (-4,4)

Answer:

The slope is -1/2.

Step-by-step explanation:

-Write down the points

-The formula is m= y2-y1/ x2-x1

-6 would be x1, 5 is y1, -4 is x2, 4 is y2

-The equation would then be 4-5/ -4 - (-6)

- 4-5 is -1, -4 - (-6) is 2 a negative and a negative cancel out so it'll be a positive

-The slope would then be -1/2  

I hope it helps you!

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~Audrie-Bella~

A) note that the above graph is attached accordingly including at least 5 points and the vertex.

(-4, -3)

(-3, 0)

(-2, 1)

(-1, 2)

(0, 1)

(1, 0)

B) The function f(x) is a reflection of the parent function y=|x| over the vertical axis, shifted one unit to the left and two units up.

C) The domain of f(x) is all real numbers since the absolute value of any real number is always non-negative.

The range of f(x) is from negative infinity up to (but not including) 2, since the highest value f(x) can attain is 2 due to the vertical shift of the function, and it can take on any value less than 2 (down to negative infinity) due to the reflection and vertical stretching of the absolute value function. In interval notation, the range can be expressed as (-∞, 2).

D) The vertex of the function f(x)=-|x+1|+2 is (-1, 2)

A domain is the set of all possible input values for a function. It specifies the range of values over which the function is defined.

Vertex is the point on the graph of a parabolic function that represents either the maximum or minimum value of the function. It is also known as the "turning point" of the function.

A Parent function is basic or "template" function that represents a particular type or family of functions. It can be transformed to create various related functions.

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A graph of the function,

f(x) = log₃(x - 1) + 2 is given in the image below.

The inverse of exponentiation is the logarithm. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.

Given:

A function,

f(x) = log₃(x - 1) + 2.

let y = f(x) = log₃(x - 1) + 2.

To find the y-intercept:

y = log₃(-1) + 2

y = 1.111

Therefore, the graph of the function is given in the attached image.

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The FRF method is a common technique for analyzing the dynamics of structures and systems, it is typically not used as a primary method for determining a system damping ratio by field measurements.

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The zeros at the end of a number can be significant if it contains decimal point only if the digit next to or at the end of the number (of decimal point) is a significant number.

Significant numbers of a given number are those digits that can convey the meaning of the number or what it stands for (measures as) according to its accuracy.

All non-zero numbers are significant numbers irrespective of the fact where they are positioned, that is they can be positioned before or after a decimal (also before or after a zero).

All zeros are not significant numbers and whetehr they are to be called significant numbers or depend on the fact where they are positioned and whether they convey any meaning (or value ) of the number. If the zeros are between two non zero significant digits then zero is also considered as a significant number.

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The value of c that makes the function, f(x) = x² , x ≠0 and c , x = 0, continuous at x=0 is equals to 3.

The condition for continuity of a function f(x) at x=a : limf(x) = f(a)

x→a

Before convincing the above condition, we have to examine that the limit is exit or not at x=a. To test the condition for existancy of a limit at x=a of a function

f(x), we have to fulfill the following condition: lim f(x) = lim f(x)

x→a⁻ x→a⁺

Sometimes to evaluate a limit, we get indeterminate forms such as 0/0 or ∞/∞. In those cases, we use L'Hospital's Rule.

Now, we have f(x) = x² , x ≠0 and c , x = 0.

limf(x) = lim x² + 3 = (0)² + 3 = 3

x→0 x→0

So, lim f(x) = 3. For f(x) to be continuous

x→0

lim f(x) = f(0) => c = 3. Thus, c will work as

x→0

we have provide function is continuous.

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Complete question:

Find a value of c that makes the following function continuous at x = 0, explain why the value of c works. f(x) = x² , x ≠0 and c , x = 0