how many seconds in a year riddle

The exponential equation is N ( t ) = a ( b )^t , where a = 50 and b = 3

The exponential growth or decay formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( t ) is the value at time t

x₀ is the initial value at time t = 0.

r is the growth rate when r>0 or decay rate when r<0, in percent

t is the time in discrete intervals and selected time units

Given data ,

Let the number of bacteria in the culture at a given time be N ( t )

The culture increases by a factor of 2

So , the value of r = 200 % , r = 2

Now , when t = 0 , the number of bacteria in the culture N ( 0 ) = 50

So , the exponential equation is

N ( t ) = N ( 0 ) ( 1 + r )^t

Substituting the values in the equation , we get

N ( t ) = 50 ( 1 + 2 )^t

N ( t ) = 50 ( 3 )^t

On simplifying the equation , we get

N ( t ) = a ( b )^t , where a = 50 and b = 3

Hence , the exponential equation is N ( t ) = 50 ( 3 )^t

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Answer:

There is exactly one solution: (1, 2).

Step-by-step explanation:

For this, it's already in slope intercept form so all you have to do is graph the two and see at what point do these two lines cross, which is (1, 2).

Hope this helps!

Answer:

Step-by-step explanation:

The triangles are similar so the sides are proportional.

It is important to match the sides correctly.

Triangle PQR is similar to Triangle STU

So the sides PQ similar to ST

QR similar to TU

PR similar to SU.

We are given one side in the smaller triangle SU which is 6.

SU matches to PR - if you divide PR by SU - 21 ÷ 6 = 3.5

So the sides of the smaller triangle are 3.5 times smaller

PQ = 14 then divide by 3.5 to get ST = 4

QR = 28 then divide by 3.5 to get TU = 8

The angles are much easier.

Similar triangles have the same angle measurement.

Find the corresponding angles.

To find ∠Q - add angles P and R and subtract from 180°.

All triangles interior angles add to 180°.

180 - (70 + 46) = 180 - 116 = 64°

Match up the corresponding angles:

∠S = 70°, ∠T = 64°, ∠U = 46°

SU = 6   ST = 4  TU = 8

The required matches are E1, B2,  D3, A4,C5.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls).

Correct matches for the given matching are

Ratio - A comparison of two or more items

So, E1

Rate - A comparison of two DIFFERENT units

So, B2

Unit Rate - A rate where the second number, item, or quantity equals one

So, D3

Ratio Table - A tool we use to find equivalent ratios

So, A4

Equivalent Ratio - Two or more ratios that have the same value

So, C5

Thus, required matches are E1, B2,  D3, A4,C5.

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The number of participants that shopped in:

- BJ's Wholesale Club only: 32
- Costco only: 22
- Sam's Club only: 27
- Exactly one of these warehouse stores: 81
- BJ's Wholesale Club and Costco: 11
- BJ's Wholesale Club and Sam's Club: 10
- Sam's Club and Costco: 7
- None of these warehouse stores: 17

To answer this question, we can use a Venn diagram to visualize the data and find the number of participants that shopped in each category.

First, we'll create a venn diagram with three circles, one for each store (BJ's Wholesale Club, Sam's Club, and Costco). Then, we'll fill in the data from the question.

1. Start with the center of the venn diagram, where all three circles overlap. This represents the 5 participants who shopped in all three stores.
2. Next, fill in the overlapping sections between two circles. These represent the participants who shopped in two of the stores, but not the third.
- BJ's Wholesale Club and Sam's Club: 15 - 5 = 10
- BJ's Wholesale Club and Costco: 16 - 5 = 11
- Sam's Club and Costco: 12 - 5 = 7
3. Finally, fill in the sections that do not overlap with any other circles. These represent the participants who shopped in only one of the stores.
- BJ's Wholesale Club only: 58 - 10 - 11 - 5 = 32
- Sam's Club only: 49 - 10 - 7 - 5 = 27
- Costco only: 45 - 11 - 7 - 5 = 22

Now, we can use the venn diagram to answer the questions:
- BJ's Wholesale Club only: 32
- Costco only: 22
- Sam's Club only: 27
- Exactly one of these warehouse stores: 32 + 22 + 27 = 81
- BJ's Wholesale Club and Costco: 11
- BJ's Wholesale Club and Sam's Club: 10
- Sam's Club and Costco: 7
- None of these warehouse stores: 17

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The values for x used in diagonal length is 2.

Given:

We have LN= 7x+ 6 and MP = 9x- 2

As, the diagonals of a rectangle are equal then

LN= MP

7x+6=  9x - 2

-2x = -4

x= 2

Thus, the value is 2.

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Answer:

The equation of the line of best fit for this data is y = -106x + 6178.

The slope of the line of best fit is -106. This means that for every degree increase in temperature, the gas usage decreases by 106 therms.

The line of best fit estimates that when the outside temperature is 59 degrees Fahrenheit, the gas usage will be 7,022 therms.

The actual gas usage when the outside temperature is 59 degrees Fahrenheit is 6,106 therms. This means that the estimated gas usage is slightly higher than the actual gas usage.

Answer:

Step-by-step explanation:

A) y = -180x + 16938

B) The slope is  -180. This means that for every increase in temperature/degrees the gas usage will decrease by  180.

C) -180x + 16938 = 6318 When the temperature is 59 degrees Fahrenheit the line of best fit estimates 6318 gas usage.

D) The gas usage when the temperature is 59 degrees is 7022 on the table, but the gas usage estimated is 6318. The difference is 704

-Hope this helps.

The total volume of all the tents is 1920 cubic feet

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

Number of tents = 6

Base area of the tents = 96 square ft

Height of the tent = 10 ft

The total volume of all the tents is calculated as

Volume = Number of tents * Base area of the tents * Height of the tent/3

Substitute the known values in the above equation, so, we have the following representation

Volume = 6 * 96 * 10/3

Evaluate

Volume = 1920

Hence, the volume is 1920 cubic feet

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Answer:

approximate number

Step-by-step explanation:

Hi this a great question. A number close to an exact value is an approximate number. That is a number that is close but not exactly equal to another number. It is the counterpart to exact numbers. There is no uncertainty in an exact number, while the definition of an approximate number is one in which uncertainty exists.

The measure of the major arc along the perimeter of the circle between Stanley and Frank is 264°.

A circle's arc, or circumference, is a section of the circle. The difference between an arc length and an arc measure is the angle the arc creates with the circle's center. It is possible to measure this arc in radians or degrees.

Given:

Fifteen friends are playing Duck, Duck, and Goose.

The friends sit equally spaced in a circle.

So, 360/15 = 24° is the angle measure of an arc.

There are three people between Stanley and Frank.

That means there are 11 people between Stanley and Frank.

So, 11 x 24 = 264° is the measure of the major arc.

And the perimeter of the major arc is 264°

Therefore, the perimeter of the major arc is 264°

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Answer:

We will use the trig ratio tan for this

Tan x°=opposite/adjacent

=>tan^-1(398/412)=x

=>x=44(approximately)

So the angle of elevation is 44°

Answer:

Goku died you I just started watching

The pound is defined as 453.59237 grams. Using the formula to convert pounds to kilograms, you find that 192 kilogram equals 87.0897 pound.

We know that:

1 lb = 1 kilogram, 2 lb = 4.40925 kilogram, 12 lb = 26.4555 kilogram.

Therefore, 192 lb = 87.0897 kilogram.

Kilogram:

The kilogram (symbol: kg) is the basic unit of mass in the International System of Units (SI). It is currently defined in terms of a fixed value of Planck's constant h equal to 6.62607015 × 10-34 in units of J s or kg m2 s-1. The meter and second are defined by c, the speed of light, and ΔνCs, the frequency of cesium. Although the definition of the kilogram changed in 2019, the actual size of the unit has remained the same. The changes are aimed at improving the definition of SI base units rather than changing how they are used worldwide.

Pound:

The pound (symbol: lb) is a unit of mass used in both the British and American systems of measurement. The international reserve pound (the common pound used today) is defined as exactly 0.45359237 kilograms. An avoirdupois pound equals 16 avoirdupois ounces.

According to the Question:

To convert 192 lbs to kg multiply the mass in pounds by 0.45359237.

The 192 lbs in kg formula is [kg] = [192] × 0.45359237.

Thus, for 192 pounds in kilos we get:

192 lbs to kg = 87.09 kg

192 lbs in kg = 87.09 kg

192 pounds to kg = 87.09 kg

192 pounds to kilograms is 87.09 kg.

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1 cm is defined as 1/100 of a meter. One foot is defined as 1/3 of a yard or 12 inches in length. We know that, 1 inch = 2.54 cm and therefore, 23.5 centimeter = 9.252 inches

Centimeters :

The centimeter (cm) is the fractional part of the meter, the international standard unit of length, and equals approximately 39.37 inches. It is defined as 1/100 of a meter.

The centimeter is based on the SI unit of measurement and is equal to one hundredth of a meter as indicated by the prefix "centi". The metric prefix ranges from 10-18 to 1018 in decimal, and the base (metric in this case) has no prefix and a modulus of 1. Exploring the most commonly used metric prefixes such as kilogram, mega, giga, tera, centi, milli, micro, and nano can be useful for quickly navigating metric units.

Inch:

Inches is a unit of length or distance in several systems of measurement, including traditional American units and British Imperial units. An inch is defined as 1/12 of a foot, so 1/36 of a yard. By modern definition, 1 inch equals 25 exactly 4 mm.

The term "inch" comes from the Latin unit "uncial", equivalent to "1/12" in Roman terms. There were several standards for inches in the past and the current definition is based on international yards. One of the earliest definitions of an inch was based on a barley grain, where an inch equals the length of three dry round grains of barley laid end to end. Another version of the inch is believed to be derived from the width of a person's thumb, where length was obtained by averaging the widths of three thumbs (small, medium, and thumb).

By multiplying  the value in centimeters by the conversion factor 0.3937007874021.

So, 23.5 centimeters = 23.5 × 0.39370078740213

                                   = 9.25196850395 inches.

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It is false that the probability of the union of two events can be more than the probability of the intersection of the two events occurring.

This is because when two events intersect, the intersection of the two events refers to the occurrence of both events at the same time, while the union of the two events refers to the occurrence of either event or both events at the same time. therefore, the union of two events can have a higher probability of occurring than the intersection of two events since the union includes the possibility of both events occurring, while the intersection does not.

For example, let us consider two events, A and B. Event A has a probability of 0.3, and event B has a probability of 0.4. The probability of the intersection of these two events is 0.12(0.3 X 0.4) while the probability of the union of these two events is 0.7(0.3+0.4-0.12). As seen in this example, the probability of the union of two events (0.7) is greater than the probability of the interaction of two events(0.12)

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Yes, it is True. If we change the constraint quantity to a value outside the range of feasibility for that constraint quantity, the shadow price will change.

The shadow price is the marginal value of the constraint quantity, and it represents the increase in the objective function per unit increase in the constraint quantity. If the constraint quantity is changed to a value outside the range of feasibility, the shadow price will change because the relationship between the objective function and the constraint quantity has changed. The change in shadow price will depend on how the constraint affects the objective function, but it is typically that the shadow price will increase as the constraint becomes more binding.

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The measure of the angles given in the rhombus are given as follows:

A rhombus is a type of parallelogram with the following properties:

To obtain the following, therefore, here is the premise behind each assertion:

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So the x-coordinates of the points where the proton crosses the x-axis are x = ±√(5).

In mathematics, a function is a relation between a set of inputs (the domain) and a set of possible outputs (the codomain or range) with the property that each input is related to exactly one output. In other words, a function is a rule or a mapping that assigns a unique output value to each input value. Functions can be represented in various ways, such as equations, tables, graphs, or diagrams. They are used to describe and model a wide range of phenomena in mathematics and other fields, such as physics, engineering, economics, and social sciences. Functions are often denoted by symbols such as "f(x)", "g(x)", or "h(t)" and can be composed or combined to form new functions. They can also be classified according to various properties, such as whether they are continuous, differentiable, invertible, or periodic. In summary, in mathematics, a function is a relation between a set of inputs and a set of possible outputs that assigns a unique output value to each input value.

Here,

To find the x-coordinates of the points where the proton crosses the x-axis, we need to find the roots of the function f(x) = x⁴ - 2x² - 15. These are the values of x that make the function equal to zero, which correspond to the points where the proton crosses the x-axis.

To find the roots, we can use the factoring method or the quadratic formula. In this case, we can factor the function as follows:

f(x) = x⁴ - 2x² - 15

= (x² - 5)(x² + 3)

Setting each factor equal to zero and solving for x, we get:

x² - 5 = 0 or x² + 3 = 0

Solving for x in each equation, we get:

x = ±√(5) or x = ±i*√(3)

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Answer:

Liberty Hill

Step-by-step explanation:

To determine which hill is the steepest, calculate the absolute value of m for each hill and compare them:

|m|= |Slope (or gradient)|

    = |[tex]\frac{VerticalDistance}{HotizontalDistance}[/tex]|

The hill with the greatest absolute value of m is the steepest:

|[tex]m_{Dixie} = |\frac{40}{80}|[/tex]

            = 0.5

[tex]|m_{Bell}| =|\frac{20}{80}|[/tex]

          = 0.25

[tex]|m_{Liberty}| = |\frac{60}{80}|[/tex]

               = 0.75

Liberty Hill has the greatest absolute value of m of 0.75, therefore it is the steepest

Answer:

1 bag is 1.25 for store a

Step-by-step explanation:

10/8 = 1.25

The image of (3, -3) is (1, -1).

The image of (-4, 7) is (-12, 21).

The image of (3, 3) after a dilation by a scale factor of 5 is (15, 15).

The image of (-8,-8) is (-2, -2).

The scale factor is the size by which the shape is enlarged or reduced. It is used to increase the size of shapes like circles, triangles, squares, rectangles, etc.

To find the image of (3, -3) after a dilation by a scale factor of 1/3 centered at the origin, multiply the coordinate by 1/3. That is:

image = (1, -1)

For image of (-4, 7) after a dilation by a scale factor of 3, multiply the coordinate by 3:

image = (-12, 21)

For the image of (3, 3) after a dilation by a scale factor of 5, multiply the coordinate by 5:

image = (15, 15)

For the image of (-8,-8) after a dilation by a scale factor of 1/4, multiply the coordinate by 1/4:

image = (-2, -2)

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Complete Question

What is the image of (3, -3) after a dilation by a scale factor of 1/3 centered at the origin?

What is the image of (-8,-8) after a dilation by a scale factor of 1/4 centered at the origin?

The plan that costs less if Hans makes 300 minutes of long distance calls is Plan A by $ 4.

The number of long distance minutes till the plans cost the same is 350 minutes.

If the time spent on long distance calls is more than this amount, the plan that costs less is Plan B.

The cost per plan can be seen on the graph. At 300 minutes of long distance calls, Plan A costs $ 24 and plan B costs $ 28 so the cheaper plan is Plan A by :

= 28 - 24

= $ 4

The number of minutes till they cost the same is 350 minutes which is where they intercept and after this, Plan B will cost less.

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Yet, the equation is typically insufficient on its own. We can understand a lot by looking at their visual representations, which is why graphing exponential equations is a useful tool. It offers us even another level of understanding for forecasting upcoming events.

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The measure of each of the supplementary angle is 99 and 171.

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or [tex]\dfrac{a}{b}[/tex]

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Given that;

The ratio of two angle = 11:19

The angles are supplementary

Now,

Let the angles be 11x and 19x.

x=180/20

x=9

The measure of angles;

11x= 99

19*9=171

Therefore, by the given ratio the answer will be 99 and 171.

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Answer:

Zero

Step-by-step explanation:

Answer:

Step-by-step explanation:i cant see words need closer view

Using the conversion formula of converting inches to centimeters, we get 1.5 inch is 3.81 centimeters.

To convert 1.5 inches to centimeters, we can use the formula:

1 inch = 2.54 centimeters

So, 1.5 inches = 1.5 x 2.54 = 3.81 centimeters

Therefore, 1.5 inches is equal to 3.81 centimeters.

The conversion factor between inches and centimeters is based on the definition of the inch and centimeter units. The inch is a unit of length in the imperial system of measurement, while the centimeter is a unit of length in the metric system. The conversion factor between the two systems is based on the definition of the meter, which is the primary unit of length in the metric system. In summary, 1.5 inches is equal to 3.81 centimeters, and this conversion is based on the relationship between the inch and centimeter units, as well as the definition of the meter as the primary unit of length in the metric system.

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Two different values are possible for the length of Rectangle jklm.

When we say that two rectangles are congruent, we indicate that their sides are equal. The rectangles' lengths and widths have to be comparable. It's feasible that jm will be 4 or 7 inches long given that one rectangle has dimensions of 4 and 7. Two lengths are conceivable as the solution. The length and breadth make up the rectangle shape. A rectangle has four sides, and its opposing sides are all the same length. You are given the perimeter of a rectangle. The perimeter, as you know, is the total distance along the outside of the rectangle.

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16 kilometers = 52493.4 feet

Formula: multiply the value in kilometers by the conversion factor '3280.8398950125'.

So, 16 kilometers = 16 × 3280.8398950125 = 52493.4383202 feet.