To show that 4 points are vertices of a square which of the following must be shown

Answer:

t = 137.9 years

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t  

Where:

p = original population

r = growing rate (decimal form)

t= years

A = population after t years

Replacing with the values given:

A = 6,250 (1 + 3.75/100)^t

A = 6,250 (1 + 0.0375)^t

A = 6,250 (1.0375)^t

1915-1890 = 25 years passed (t)

A = 6,250 (1.0375)^25

A = 15,689

1940-1890 = 50 years passed (t)

A = 6,250 (1.0375)^50

A = 39,381

1,000,000= 6,250 (1.0375)^t

1,000,000/ 6,250 =(1.0375)^t

160 = 1.0375^t

log 160 = log 1.0375^t

log 160 = (t ) log 1.0375

log160 / log 1.0375= t

t = 137.9 years

Using the compound interest formula to model population growth, the population of Smalltown in the years 1915, 1940, and 2003 is calculated to be approximately 13,194, 33,605, and 459,383 respectively. The population is projected to reach 1,000,000 in the year 2032.

To solve this problem, we use the formula for compound interest, which is also used for population growth, it is P(1 + r)^n where P is the initial amount (or population in this case), r is the rate of increase and n is the number of years.

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Answer:

97.92m

Step-by-step explanation:

132.65-34.73=97.92

It should be the answer

Sorry if its wrong

56.1°.

Step 1 The two sides we know are Opposite (300) and Adjacent (400).

Step 2 SOHCAHTOA tells us we must use Tangent.

Step 3 Calculate Opposite/Adjacent = 300/400 = 0.75.

Step 4 Find the angle from your calculator using tan-1

"SOHCAHTOA" is a helpful mnemonic for remembering the definitions of the trigonometric functions sine, cosine, and tangent i.e., sine equals opposite over hypotenuse, cosine equals adjacent over hypotenuse, and tangent equals opposite over adjacent, (1) (2).

Please check the attached file for a brief answer.

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Answer:

2

Step-by-step explanation:

Final answer:

The numbers that have an absolute value of 6 are -6 and 6.

Explanation:

An absolute value represents the distance between a number and zero on a number line. It is always a positive value. In this case, we are looking for numbers with an absolute value of 6. To find these numbers, we need to find all numbers that are 6 units away from zero.

The numbers that have an absolute value of 6 are: -6 and 6. These two numbers are equidistant from zero, with a distance of 6 units in either direction.

So, there are two numbers with an absolute value of 6.

sqrt 10 = 3.16

sqrt 15 = 3.87

So the difference would be 0.7

Answer:

0.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-4,5)

x= -4  y=5

Answer:

it’s 0.53

Step-by-step explanation:

wigger fart

To calculate the probability of the temperature being in the 90s next year, you take the number of times the temperature was in the 90s over the past 15 years and divide by 15. This gives the probability, but it is just an estimate as weather is unpredictable.

To determine the probability that next year’s temperature will be in the 90s, you firstly need to know the number of times the temperature was in the 90s over the past 15 years. After that, you divide that by the total number of years observed (15 years). This gives a fraction or a decimal which represents the probability.

For instance, if the temperature was in the 90s for 7 out of the 15 years, the probability would be 7/15, or approximately 0.47.

Please remember, this result is an estimate as weather is influenced by many unpredictable factors. Therefore, the past trends cannot guarantee future conditions but it gives a rough estimate.

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Answer:

1/2

Step-by-step explanation:

We only care about the third coin

we could get heads or tails on the third flip

P (third coin will be heads) = outcome heads / total

                                            =1/2

Answer:

½

Step-by-step explanation:

Trials are independent

If the coin is unbiased,

P(T) = P(H) = ½ for every trial

The measure of angle FHG = 42 degrees. This is the same as the arc length.

The measure of angle FEG = 21 degrees. This is half the value of the arc length.

The measure of angles are

[tex]m < FHG= 42\\m < FEG= 21 \\[/tex]

Central angle is equal to intercepted arc.

Also, inscribed angle  is equal to half of the intercepted arc.

From the given diagram ,

Central angle is angle FHG.

Given that measure of Arc FG = 42 degrees

Central angle = intercepted arc

Central angle is same as intercepted arc.

[tex]m < FHG= m (arc FG)\\m < FHG= 42[/tex]

Inscribed angle  is equal to half of the intercepted arc.

To find inscribed angle , we divide the intercepted arc by 2.

[tex]m < FEG=\frac{1}{2} (arc FG)\\m < FEG=\frac{1}{2} (42)\\m < FEG= 21[/tex]

The following angles are

[tex]m < FHG= 42\\m < FEG= 21 \\[/tex]

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To model the population of foxes t months since the beginning of Alyssa's study, we can use the equation P(t) = P(0) - (1/18t), where P(0) is the initial population of 185,000 foxes.

To write a function that models the population of foxes t months since the beginning of Alyssa's study, we need to determine the rate at which the population decreases over time. Given that the population loses 1/18 of its size every 22 months, we can use this information to develop an equation. Let P(t) represent the population of foxes at time t, and let P(0) be the initial population of 185,000 foxes.

Since the population loses 1/18 of its size every 22 months, the rate of decrease can be calculated as 1/18 per 22 months. This can be written as -1/18 per month or -1/18t per month. Hence, the equation that models the population is P(t) = P(0) - (1/18t).

Answer:

statistics is defined as:

the branch of mathematics dealing with data collection, organization, analysis, interpretation and presentation.

Final answer:

Statistics is a mathematical discipline focused on data collection, analysis, interpretation, and presentation. It includes both the process of dealing with numerical data and the resulting numerical facts used to make decisions. The field consists of descriptive statistics and statistical inference, which help understand and compare data for informed decision-making.

Explanation:

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, and presentation of numerical data. It encompasses the entire process from gathering the data to drawing conclusions based on the numerical information obtained. Statistics can also refer to the numerical facts themselves, which are derived from these processes. The field is divided into two key areas: descriptive statistics, which summarizes data from a sample using indexes such as mean or standard deviation, and statistical inference, which makes predictions about a population based on a sample of data.

Statistics are not confined to mere numbers; they represent a comparison and understanding of numerical data. These comparisons help us make informed decisions in various fields, from public policy to medicine. For example, statistics can tell us the percentage increase in a population over a decade, enabling policymakers to plan resources accordingly. Statistics is integral to our daily lives, even though many may not realize its pervasive influence.

Answer:

80.5 feet

Step-by-step explanation:

The formula for a triangle is 1/2 base times height. So it is 1/2 of 14 times 11 1/2. Which is also equal to 7 times 11 1/2. That equals 80.5. I hope this helps! Please mark me brainliest!

Answer:

D, 342 meters

Step-by-step explanation:

We can use the definition of sines to solve the problem. Remember, sine = opposite leg over the hypotenuse of the triangle.

[tex]sin(<Q)= \frac{RS}{QR} \\[/tex]

Then, we can substitute QR for 1,000 and [tex]<Q[/tex] for 20 degrees and solve like so:

[tex]sin(20) = \frac{RS}{1,000}[/tex]

[tex]RS = 1000 (sin(20))\\\ RS = 1000(0.342)\\\\RS= 342.0201[/tex]

Rounding that number, we get 342 meters. Hope this made sense!

Answer: D. 342 m

Step-by-step explanation:

The given triangle is a right angle triangle since angle S is 90°.

From the given right angle triangle,

QR represents the hypotenuse of the right angle triangle.

With m∠Q as the reference angle,

QS represents the adjacent side of the right angle triangle.

RS represents the opposite side of the right angle triangle.

To determine RS, we would apply

the Sine trigonometric ratio.

Sin θ, = opposite side/hypotenuse. Therefore,

Sin 20 = RS/1000

RS = 1000Sin20 = 1000 × 0.342

RS = 342 m

Answer:about 54%

Step-by-step explanation:

Answer:

[tex]16\sqrt{3}[/tex] [tex]cm^{3}[/tex]

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one. Please have a look at the attached photo,

A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4StartRoot 3 EndRoot cm and an area of 12StartRoot 3 EndRoot cm2.

What is the volume of the pyramid?

My answer:

As we know, The volume of a pyramid = [tex]\frac{1}{3}[/tex]base area × its height

Given:

=> The area of the base is [tex]12\sqrt{3}[/tex] [tex]cm^{2}[/tex]

We use: [tex]tan(30) = \frac{BC}{AC}[/tex]

<=> BC = [tex]4\sqrt{3}*tan(30)[/tex]

= 4 cm

And BC is the height of the the pyramid

=> The volume of a pyramid = [tex]\frac{1}{3}[/tex] [tex]12\sqrt{3}[/tex] [tex]cm^{2}[/tex] * 4 cm

= [tex]16\sqrt{3}[/tex] [tex]cm^{3}[/tex]

Answer:

The polygon has 43 sides . The polygon can be called 43 - gon or tetracontakaitrigon.

Step-by-step explanation:

In a regular polygon all the sides are equal and also all the angles are equal. The sum of the interior angle of a polygon can be calculated with the following formula;

sum of interior angle = (n−2) × 180°

where

n = number of sides

The sum of the interior angle should be less than 7500 and greater than 7201.

sum of interior angle = (n−2) × 180°

less than 7500 and greater than 7201 = (43 - 2) × 180

less than 7500 and greater than 7201 = 41 × 180

less than 7500 and greater than 7201 = 7380 °

The polygon has 43 sides . The polygon can be called 43 - gon or tetracontakaitrigon.

Answer: y Y/40 should be your answer

Answer:

Y=40

Step-by-step explanation:

40/8=5

Answer:

1

Step-by-step explanation:

3-2=1

Answer:

The answer is B) 1.

Step-by-step explanation:

Let’s use a Venn diagram to solve this problem.

We know that 9 students are taking an English class and 3 are taking a math class. We also know that 2 students are taking both classes. Therefore, we can fill in the Venn diagram as shown above.

To find the number of students taking a math class only, we need to subtract the number of students taking both classes from the total number of students taking a math class. That is:

Math only = Total Math - Both

Math only = 3 - 2

Math only = 1

Therefore, 1 student is taking a math class only.

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Answer:

a = 9

b = 3

c = 1

Step-by-step explanation:

hope it helps

Answer:400 is the perimeter

Step-by-step explanation:

Answer:

200 inches

Step-by-step explanation:

40*4=160

160+40=200

Answer:

Step-by-step explanation:

First subtract 3000000 and 50000, which equals 2500000.

Then divide 2500000 and 33388, in order to find the number of years, which equals: 74.877201.

Add 74.877201 to 1944, to find out what year the circulation will reach 3 million, the answer is 2018.877. Round up to the nearest year, so 2019.

In order to find the circulation in 2006, first subtract 2006 and 1944, which equals 62 years, then multiply 62 years by 33388 , which equals 2070056. Add 500000 to 2070056. The answer is 2570056.

Answer:

23. x = 11.1 // 24. x = 21.4

Step-by-step explanation:

23.

Observe which sides are known and needed. 15 is the hypotenuse and x is the adjacent side. The trigonometric function that connects both the hypotenuse and the adjacent side is cosine. Using the degree, set up the equation as so: cos(42) = x/15. (Because cosine is adjacent over hypotenuse, x is over 15). Isolate x to solve for it by multiplying both sides by 15. cos(42) * 15 is 11.1

24.

Observe which sides are known and needed. x is the hypotenuse and 11 is the opposite side. The trigonometric function that connects both the hypotenuse and the opposite side is sine. Using the degree, set up the equation as so: sin(31) = 11/x. (Because sine is opposite over hypotenuse, 11 is over x). Isolate x to solve for it by multiplying both sides by x and then dividing both sides by sin(31). 11 divided by sin(31) is 21.4

Answer:

the correct answer is B i got it right on my test

Step-by-step explanation:

Answer:

The answer is B) k(pi) for k= 0, +/-2, +/-4,...

Step-by-step explanation:

edg

Answer:

Exponential function.

Step-by-step explanation:

We are given that a function of the  form

[tex]y=ab^x[/tex]

Where [tex]b\neq 0[/tex] and b>0

Exponential function: The function  is of the form

[tex]y=b^x[/tex]

Where b is a  positive constant and greater than 0 and x is any real number.

The given function satisfied the define of exponential function.

Hence, the function of the form [tex]y=ab^x[/tex]

Where b>0 and [tex]b\neq 0[/tex] are called exponential function.

Functions of the form y = ab^x, where b > 0 and b ≠ 0, are called Exponential Functions. They are widely used in mathematical and scientific contexts.

Functions of the form y = abx, where b > 0 and b ≠ 0, are called Exponential Functions. These functions represent a wide range of phenomenons in mathematics and natural science. An exponential function represents a quantity which is increasing or decreasing at a rate proportional to the magnitude of the quantity itself. For example, a savings account with an interest rate of 2% would exhibit exponential growth since the magnitude of the account balance would increase at a rate proportional to the balance itself.

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Answer:

The Quadrilateral namely as

1)Square .

2)Rhombus.

Step-by-step explanation:

Given :

Four sides and 4 angels are equal

To find :

Which quadrilateral are possible?

Solution:

We know that 4 sides are equal and 4 right angles are of square

And It ,s properties are acquired by the shape Rhombus

with equal sides and opposite side are parallel to each other and angles are of right angle (90 degrees).

And many Quadrilaterals have right angle but not 4 equal sides

(Pic of rhombus is shown below)

There is a rule for functions:

One input(x-value) can only have one output(y-value).

If one input has more than one output, it's not a function.

(This doesn't apply to outputs, one output can have more than one input and still be a function)

Option 1: It is not a function because the inputs 9 and 10 have more than one output

Option 2: It is not a function because the input 3 has more than one output

Option 3: It is a function because each input has only one output

Option 4: It is not a function because the input 5 has more than one output

Answer:

"[tex]8\pi[/tex] units squared"

Step-by-step explanation:

The image of the circle is attached.

The shaded area of the circle is basically HALF of the whole circle. If we can get the area of the circle, we will halve it, to get our answer for area of shaded region.

Area of circle is given as:

[tex]A=\pi r^2[/tex]

Where

A is area

r is the radius

Looking at the pic, the radius is "4", so we substitute and find area of circle:

[tex]A=\pi r^2\\A=\pi (4)^2\\A=\pi (16)\\A=16\pi[/tex]

THe shaded area is HALF of that, so:

Area of Shaded = [tex]\frac{16\pi}{2}=8\pi[/tex] sq. units.

Answer is "[tex]8\pi[/tex] units squared"

0

1-1=0

So u have 1 then you take one away so it will get u 0 apples left

Answer:

0 apples in total,

Step-by-step explanation:

You ate the apple, so most would consider that you have 0 apples left.

one minus one is equal to zero in this case.