Analyze the drawing.The beam in the mobile is balanced.The cups on the right and left are equal,which means the the items can be removed and mobile still balances.This leaves 4 circles on the left,a cup and 1 circle on the right.Now the circle on the right cancels out the circle on the left,leaving three circles on the right.The logical conclusion is that the cup is equal to 3 circles

In general, the tallest and shortest plant heights can vary widely depending on the species of plant being considered.

For example, some species of trees can grow over 300 feet tall, while certain species of mosses may only grow a few millimeters in height. The specific environmental conditions, such as the availability of water, sunlight, and nutrients, can also impact the growth and height of plants. Therefore, without more specific information, it is difficult to provide a more precise answer.

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Answer:

0.266666666

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

9^2+12^2=225

square root of 225 is 15

Answer:

4+n×36-8/8(6+6)=N thats how yiu do it

F = 9/5C + 32

F - 32 = 9/5C

C = 5/9(F - 32)

Correct answer: A

Hope this helps! :)

Answer:

F = N + 2

Step-by-step explanation:

2 bases (N) + N side parallelograms (or Rectangles)

Answer:

not valid..

Step-by-step explanation:

By the use of arithmethic, the final temperature in Sudbury is - 1 °C.

In this problem we know that initial temperature and two consecutive changes in time. A temperature rise represents a positive change, whereas a temperature fall represents a negative change, then the final temperature is equal to sum of the initial temperature and its two changes:

T = T' + ΔT₁ + ΔT₂

T = 4 °C + 5 °C - 10 °C

T = 9 °C - 10 °C

T = - 1 °C

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Answer:

Question 1

Question 2

Answer:

14^15/14^5 = 14^(15-5) = 14^10

Answer:

The measure of angle WVX is 140°.

Step-by-step explanation:

Let x be the measure of angle WVX.

\( \frac{14}{9} \pi = 2x\)

\( x = \frac{7}{9} \pi( \frac{180}{\pi}) = 140 \: degrees\)

Answer:

angle = arc length/radius
in this case, the arc length is 14/9*\(\pi\) and the radius is 2. Upon multiplying these, you get 140.

so, the answer is 140 degrees.

Answer:

x=\(\frac{y}{m} -\frac{p}{m} +q\)

Step-by-step explanation:

a. Simple interest: around 14.29 years.

b. Annual compound interest: about 5 years.

c. Continuous compound interest: roughly 4.95 years.



a. With a 14 percent simple interest rate, the time it takes for a sum to double can be calculated using the formula:Time = (100 / interest rate) * 2

In this case, the interest rate is 14 percent, so the time it takes for the sum to double is:Time = (100 / 14) * 2 = 14.29 years (approximately).

b. With a 14 percent interest rate compounded annually, the time it takes for a sum to double can be calculated using the compound interest formula:Time = log(2) / log(1 + (interest rate / 100))

Substituting the values, the time it takes for the sum to double is:

Time = log(2) / log(1 + (14 / 100)) = 5.00 years (approximately).

c. With a 14 percent interest rate compounded continuously, the time it takes for a sum to double can be calculated using the formula:

Time = ln(2) / (interest rate / 100)

Using the values, the time it takes for the sum to double is:

Time = ln(2) / (14 / 100) = 4.95 years (approximately).

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Answer:

a

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

-0.6

Step-by-step explanation:

Answer:

26 miles

you welcomeeeeee

Given equation of line is,

The two lines are parallel if and only if their slopes are equal.

The line in the form y=mx+c has slope m.

So, compare the given equation of line with y=mx+c it gives ,

slope =m= 1/3.

It is observed that option B) y=1/3x+4 has slope m=1/3 which is equal to the slope of given line.

Answer: option B) y=1/3x+4

Factorial design are useful in testing theories because they enable researchers to investigate a theory's construct validity. so the correct answer  is option  (a).

A key technique for identifying the impact of numerous variables on a response is the factorial design. Traditionally, experiments are planned to ascertain how one variable affects just one response.

The corpus of knowledge supporting the analysis and application of test results. The definition and measurement of reliability are of primary relevance. Classical test theory, generalizability theory, and item response theory are examples of theoretical frameworks.

a) They enable academics to investigate a theory's construct validity.

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We are given the following expression:

To determine the quotient of the expression we will factor the numerator. To do that we take the Greatest Common Multiple of the denominator.

The denominator is the following expression:

To get the greatest common multiple we need to determine the multiples of the coefficients first.

For 15 we have:

For 30 we have:

For 45 we have:

We notice that the factors that are repeated for each of the numbers are:

The greatest of the repeated factors is 15, therefore, the greatest common factor is 15.

Now, we take the variables that are repeated in the expression and we take the ones with smaller exponents. The variables repeated are:

Of these, the ones with smaller exponents are:

Now, combining the two parts we get that the greatest common factor of the denominator is:

We take out that factor and re arrange the expression, like this:

Now, we cancel out the "xy" and simplify 15/5:

And thus we get the quotient.

We notice that the quotient is multiplied by 3, therefore, if we divide by 3:

We can cancel out the 3 and we get:

Therefore, the quotient is divided by 3.

We can conclude that they form a right triangle

So GF = FH

OF^2 = GF^2 + OG^2

OF^2 = 8.4^2 + 8^2

OF^2 = 70.56 + 64

OF^2 = 134.56

OF = 11.6

Answer:

-15+15=0

Step-by-step explanation:

Answer:

+15

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The power series representation for the function f(x) = x/(2x^2 + 1) is 1/2 - x^2/4 + x^4/8 - x^6/16 + ...   .The radius of convergence for this power series is √2.

To find the power series representation of f(x) = x/(2x^2 + 1), we can start by expressing the denominator as a geometric series. Notice that 2x^2 can be written as (sqrt(2)x)^2, and we can use the formula for the sum of an infinite geometric series:

1/(1 - r) = 1 + r + r^2 + r^3 + ...

By substituting r = (sqrt(2)x)^2, we get:

1/(1 - (sqrt(2)x)^2) = 1 + (sqrt(2)x)^2 + ((sqrt(2)x)^2)^2 + ((sqrt(2)x)^2)^3 + ...

Simplifying the expression, we have:

1/(1 - 2x^2) = 1 + x^2 + x^4 + x^6 + ...

Now, we can multiply both sides by x/2 to obtain the power series representation for f(x):

x/(2x^2 + 1) = (x/2)(1 + x^2 + x^4 + x^6 + ...)

This simplifies to:

f(x) = 1/2 - x^2/4 + x^4/8 - x^6/16 + ...

To determine the radius of convergence for the power series, we can use the ratio test. The ratio test states that if the absolute value of the ratio of consecutive terms in a power series approaches a limit L as n approaches infinity, then the series converges if L < 1 and diverges if L > 1.In this case, the ratio of consecutive terms is |(-1)^n * x^(2n+2)/((2n+2)! * 2^(n+1)) / (-1)^(n-1) * x^(2n)/((2n)! * 2^n)| = |x^2 / ((2n+2)(2n+1))|.

Taking the limit as n approaches infinity, we find that the absolute value of the ratio approaches |x^2|.

For the power series to converge, |x^2| < 1, which means -1 < x < 1. Therefore, the radius of convergence is √2.

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Answer:

d) 16.7%

Step-by-step explanation:

Answer:

D, 16.7%

Hope that helps (:

The Hermite curve with four control points P0(0,0), P1(1,1), P2(2,-1), and P3(3,0) has tangent vectors P0'(1,1) and P3'(1,1) at the endpoints. To determine the intermediate points on the curve at t = 1/3 and t = 2/3, we can use the Hermite interpolation formula.

The Hermite interpolation formula allows us to construct a curve based on given control points and tangent vectors. In this case, we have four control points P0, P1, P2, and P3, and tangent vectors P0' and P3'.

To find the intermediate point at t = 1/3, we use the Hermite interpolation formula:

P(t) = \((2t^3 - 3t^2 + 1)P0 + (-2t^3 + 3t^2)P3 + (t^3 - 2t^2 + t)P0' + (t^3 - t^2)P3'\)

Substituting the given values:

\(P(1/3) = (2(1/3)^3 - 3(1/3)^2 + 1)(0,0) + (-2(1/3)^3 + 3(1/3)^2)(3,0) + ((1/3)^3 - 2(1/3)^2 + (1/3))(1,1) + ((1/3)^3 - (1/3)^2)(1,1)\)

Simplifying the equation, we can find the coordinates of the intermediate point at t = 1/3.

Similarly, for t = 2/3, we use the same formula:

\(P(2/3) = (2(2/3)^3 - 3(2/3)^2 + 1)(0,0) + (-2(2/3)^3 + 3(2/3)^2)(3,0) + ((2/3)^3 - 2(2/3)^2 + (2/3))(1,1) + ((2/3)^3 - (2/3)^2)(1,1)\)

Calculating the equation yields the coordinates of the intermediate point at t = 2/3.

In this way, we can use the Hermite interpolation formula to determine the intermediate points on the Hermite curve at t = 1/3 and t = 2/3 based on the given control points and tangent vectors.

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Exponential functions are mathematical functions that involve an exponent or power. There are two types of exponential functions: growth and decay.

1. Exponential Growth Functions: These functions have the form y = a*b^x, where a > 0 and b > 1. They model exponential growth, where the value of y increases rapidly as x increases. For example, the function y = 2^x is an exponential growth function, as the value of y doubles for each increase in x.

2. Exponential Decay Functions: These functions have the form y = a*b^x, where a > 0 and 0 < b < 1. They model exponential decay, where the value of y decreases rapidly as x increases. For example, the function y = (1/2)^x is an exponential decay function, as the value of y is halved for each increase in x.

Both types of exponential functions are important in many fields, including finance, biology, and physics. They are used to model phenomena such as compound interest, population growth, and radioactive decay.

The ratio is equivalent to 3:18 is 7:42.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

Ratio = 3:18

         = 1: 6

1. 6:21

= 3:7

2. 5:20

= 1:4

3. 7:42

= 1:6

4. 12:2

= 6:1

Hence, the ratio is equivalent to 3:18 is 7:42.

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The distance between points A and B is 11785.2 ft.

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations.

Given is that the plane maintains a constant altitude of 6350 feet. Mei Mei initially measures an angle of elevation of 17° to the plane at point A. At some later time, she measures an angle of elevation of 36° to the plane at point B.

We can write -

tan (17°) = 6350/AC

tan (36°) = 6350/BC

Now, we can write -

AC = 6350/tan (17°)                                ... { 1 }

AC = 20483.9 ft

&

BC = 6350/tan (36°)                              ... { 2 }

BC = 8698.7 ft

We can write -

AB = AC - BC                                        ... { 3 }

AB =  20483.9 - 8698.7

AB = 11785.2 ft

Therefore, the distance between points A and B is 11785.2 ft.

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SOLUTION:

=) 30p^10

___________

Answer:

\(30p^{10}\)

Step-by-step explanation:

\(-5p^8 * -6p^2\)

\(-5*-6=30\)

\(p^8*p^2=p^{8+2} =p^{10}\)

\(30p^{10}\)

Hope this helps!