A rectangle has a length of 4 millimeters and an area of square 116 millimeters. What is the​ width? What is the​ perimeter?

The valuation of the notes in a years is given as follows:

y = 200(0.00000006)^a.

The yearly inflation rate is of:

1,666,666,667%

The valuation changed by a percentage in a period of time, hence an exponential function is used to model the situation.

An exponential function is defined as follows:

y = a(b)^x.

For which the parameters are given as follows:

The initial valuation is of $200, hence the parameter a is given as follows:

a = 200.

Thus the function should be modeled as follows:

[tex]y = 200(b)^a[/tex]

In which a is the time in years.

In one month, the amount decayed to $50. One month is 1/12 of a year, as one year is composed by 12 months, hence the parameter b is obtained as follows:

[tex]50 = 200(b)^{\frac{1}{12}}[/tex]

[tex](b)^{\frac{1}{12}} = \frac{50}{200}[/tex]

[tex](b)^{\frac{1}{12}} = \frac{1}{4}[/tex]

Elevating both sides to 12, we have that:

b = (0.25)^12

b = 0.00000006.

Hence the function is:

y = 200(0.00000006)^a.

The inflation rate is given as follows:

1/0.00000006 x 100% = 1,666,666,667%

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Answer:

D

Step-by-step explanation:

Answer:

Angles 6, 4, and 2 are congruent to angle 8.

Step-by-step explanation:

By the Opposite Angles Theorem, angle 6 is congruent to angle 8.

By the Corresponding Angles Theorem, angle 4 is congruent to angle 8.

By the Corresponding Angles Theorem, angle 2 is congruent to angle 6, and angle 6 is congruent to angle 8, so angle 2 is congruent to angle 8 by the Transitive Property.

Answer:

C. 9

Step-by-step explanation:

3 color choices of CD player x 3 choices of music = 9

The probability that the sample mean is between 1300 and 1400 is approximately 1.34%.

We can use the Central Limit Theorem and the standard normal distribution to calculate the probability that the sample mean is between 1300 and 1400. The Central Limit Theorem states that as the sample size increases, the distribution of the sample means will approach a normal distribution, regardless of the distribution of the population.

Since we have a sample of 80 observations, we can assume that the sample mean follows a normal distribution with a mean of 1460 (the population mean) and a standard deviation of:

Standard deviation of the sample mean

= population standard deviation ÷ [tex]\sqrt {sample size[/tex]

[tex]= 270 \div \sqrt{80} = 27[/tex]

So the standard deviation of the sample mean is 27.

We can now standardize the interval between 1300 and 1400 by subtracting the mean and dividing it by the standard deviation of the sample mean.

[tex]Z_1[/tex] = (1300 - 1460) / 27 = -2.59

[tex]Z_2[/tex] = (1400 - 1460) / 27 = -2.22

We need to find the area under the standard normal distribution curve between Z1 and Z2.

Using a standard normal table or a calculator with the standard normal distribution function, we can find the probability that a random variable from the standard normal distribution is between -2.59 and -2.22. This probability is approximately 0.0134 or 1.34%.

Therefore, the probability that the sample mean is between 1300 and 1400 is approximately 1.34%.

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Answer:

y = 25 - 3x

Step-by-step explanation:

x = 7 - p ⇒ p = 7 - x

y = 3(7-x) + 4

y = 21 - 3x + 4

y = 25 - 3x

Two cans of paint are needed to cover the toy chest of 1866 in²

Area:

The area is the amount of space occupied by a two-dimensional object or figure. Area (A) of the rectangle is:

A = length * breadth.

Area of A = 13 * 16 = 208 in²

Area of B = 13 * 25 = 325 in²

Area of C = 25 * 16 = 400 in²

Area of D = 13 * 25 = 325 in²

Area of E = 13 * 16 = 208 in²

Area of F = 25 * 16 = 400 in²

1) Combined Area = 208 + 208 = 416 in²

2) Combined Area = 325 + 325 = 650 in²

3) Combined Area = 400 + 400 = 800 in²

4) Combined Area = 416 + 650 + 800 = 1866 in²

5) Amount of paint = 1866 in² / 933 in² = 2

Therefore, Two cans of paint are needed to cover the toy chest of 1866 in²

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the answer is 151200

Answer:

rotation, dilation

Step-by-step explanation:

On the question it shows how it is supposed to be ordered, triangle LMN is similar to triangle PQR which means LM and PQ are similar sides and MN and QR are similar, etc.

it is rotation because the P is facing the left side while L is facing upward.

it is dilation because triangle PQR shrunk into a smaller triangle.

Answer:

3/4

Step-by-step explanation:

Answer:

2/3 of a day

Step-by-step explanation:

3/4 : 1/2 = 1 : X

X=2/3

Answer:

no it doesn’t.

Step-by-step explanation:

Answer:

[tex]21x \: - \frac{1}{3} \\ 3[/tex]

Answer:

the ?=4

Step-by-step explanation:

i got it on desmos basically the vertex is 4 high so you would need to add 4 to get it up there

-4°F is equal to -20°C, or 253°K, which is the temperature above absolute zero. Thus, the temperature at midnight was 759°K, or almost 1400°F.

The physical concept of temperature indicates in numerical form how hot or cold something is.

A thermometer is used to determine temperature.

Thermometers are calibrated using a variety of temperature scales, which historically defined distinct reference points and thermometric substances.

The most popular scales are the Celsius scale, sometimes known as centigrade, with the unit symbol °C, the Fahrenheit scale (°F), and the Kelvin scale (K), with the latter being mostly used for scientific purposes. One of the seven base units in the International System of Units is the kelvin (SI).

The lowest point on the thermodynamic temperature scale is absolute zero, or zero kelvin, or 273.15 °C. It can be very closely approximated experimentally but never actually reached, as stated in the third rule of thermodynamics.

Hence, -4°F is equal to -20°C, or 253°K, which is the temperature above absolute zero. Thus, the temperature at midnight was 759°K, or almost 1400°F.

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Answer:

it's B

Step-by-step explanation:

becaus the exact form of m is the square root of 14

pls mark as brainliest lol

Answer:

[tex]\sqrt{14}[/tex]

Step-by-step explanation:

m is squared, so it would have to be the square root.

After 10 years the balance of the account will be $13000.

A simple interest is one that does not compound anyway. In this system, a creditor only pay interest on the initial amount and the rate of interest is not changed during the time period.

given, initial deposit money = initial principal amount = $8000

initial money is denoted by P

interest rate (annually), r = 6%

generally, simple interest is annual.

expected amount after t years = final amount = $13000

final amount is denoted by A.

t is the time in years.

According to the formula for simple interest, A = P (1 + rt)

                                                           $13000 = $8000(1 + 6/100×t)

                                                        $13000/ $8000 = (1 + 0.06t)

                                                         (1 + 0.06t) = 1.625

                                                        0.06t = 0.625

                                                        t = 10.417 years or t = 10 years

Therefore, after 10 years the balance of the account will be $13000.

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Answer:

first Q . mirror

Second Q. sight and touch

Answer:    Smoothest surface: mirror

senses being used: sight and touch

hope this helps!

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Since it is a triangle, it should add up to be a total of 180 degrees.

I took 64 + 68 = 132

Since there's a missing angle, you can take 180 - 132 = 48

All the angles should add up to 180 so 64 + 68 + 48 = 180

Your welcome !!

Answer:

(4, 2.5)

Step-by-step explanation:

The given expression {8.5x + 0.5 + 3.5x - 2x} is equivalent to

10x + 0.5.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign "=".

Given is the expression as follows -

8.5x + 0.5 + 3.5x - 2x

The given expression is -

8.5x + 0.5 + 3.5x - 2x

(8.5x + 3.5x - 2x) + 0.5

12x - 2x + 0.5

10x + 0.5

Therefore, the given expression {8.5x + 0.5 + 3.5x - 2x} is equivalent to

10x + 0.5.

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Sum of the infinite geometric series = 79/9

A geometric series, or the first few terms of a geometric sequence, are the sum of an infinite number of terms with a constant ratio between them in mathematics.

Given Geometric sequences,

0.79, 0.079, 0.0079, 0.00079, 0.000079

so, the geometric series is:

0.79 + 0.079 + 0.0079 + 0.00079 + 0.000079 +........

The first term of given geometric series is 0.79

The second term of given series is 0.079

Therefore, the common ration is= 0.079/0.79 = 1/10

The Sum of infinite geometric series is given by, S= a/(1-r)

a here denotes the first term of the series

r denotes the common ration

so,

S = 0.79/{1-(1/10)}

or, S = 0.79/(9/10)

0r, S = 0.79 * (10/9)

0r, S = 79/9

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Answer:

Below

Step-by-step explanation:

125 kg   *  2.204 pound/kg = 275.5 pounds

Answer:

D. 275.5 pounds

Step-by-step explanation:

1 kg = 2.204 lbs

=> 125 kg = (125 kg)(2.204 lbs/1 kg)  = 275.5 lbs

In order to get the value of n, which is what we are trying to find, it is important to know how to isolate the variable.

When something is added to n, you subtract to isolate n. Going with this logic, you would multiply by a number if you wanted to isolate n with a fraction.

[tex]\frac{n}{5}+4=-4[/tex]

The first step would be to get rid of the 4 on the left side so we can work on the variable. We can do this by subtracting both sides by 4, so the left side cancels out to 0.

[tex]\frac{n}{5}+4-4=-4-4[/tex]

[tex]\frac{n}{5} =-8[/tex]

Next, we can multiply both sides by 5, so we can isolate the variable, because it is being divided by 5.

[tex]\frac{n}{5} *5=-8*5[/tex]

n=-40

Answer:

20, yes

Step-by-step explanation:

11+9=20

If he is charged $9 for each guest then it will make a huge impact to the number of guests.

Answer:

8

Step-by-step explanation:

Its non of the above. Though I did have a question like that, if there is a choice below the square, that has the following properties, that must be the answer:

7 sides

1 right angel

______________________________________________________

But if you are talking about it being 1 of the 2, its non of the 2 that is in the picture. The option below square must be the answer if I am right according to what I had.

Hope it helps ! The things that I told you about the figure is the only way I can tell you. Sorry, but have a great day and good luck.

Answer:

x = 32

Step-by-step explanation:

the sum of the exterior angles of a polygon is 360°

All the indicated angles in the diagram are exterior angles of the polygon.

sum the 5 exterior angles and equate to 360

2x + 71 + 85 + 44 + 3x = 360

5x + 200 = 360 ( subtract 200 from both sides )

5x = 160 ( divide both sides by 5 )

x = 32

The mass of the second object will be 3.5 kg.

In Newtonian mechanics, momentum is calculated as the sum of an object's mass and velocity. It has both a magnitude and a direction, making it a vector quantity.

According to the collision theory, for a chemical reaction to take place, the reacting particles must come into contact with one another. The frequency of collisions affects the reaction's rate. According to the idea, responding particles frequently encounter without reacting.

The final momentum will be calculated by the expression given below,

(m₁ + m₂ ) V=250

( 1.5 + m₂ 0 x 50 = 250

1.5 + m₂ = 5

m₂ = 5 - 1.5

m₂ = 3.5 kg

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Answer: 4k^7

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Going from the first point to the second, we see the x-coordinate (the 'run') increasing by 4 and the y-coordinate increasing by 3.  Thus, the slope of the line going through these two points is

m = rise / run = 3/4