heelp me pls......


simplify each radical, then add or subtract. sqrt12 +sqrt27​

The correct options for the average speed of both runners are:

B: Candace ran 4 meters per second

F: Candice ran at a faster rate

The formula for slope between two coordinates is:

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

For Antonio, we take two coordinates from the table to find the average speed.

The coordinates are: (8, 29) and (12, 41)

Thus:

Average speed = (41 - 29)/(12 - 4)

= 12/8 = 1.5 m/s

For candice, we take two coordinates which are:

(10, 42) and (15, 62)

Thus:

Average Speed = (62 - 42)/(15 - 10)

= 20/5

= 4 m/s

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The kinematics equation s = 1/2at² can be used to determine the acceleration in the Second Law Experiment, where acceleration is calculated by measuring the time taken for the cart to move from the start point to the end point.

Let's derive how the equation is used to find the acceleration from this experiment:

Drivation of kinematics equation:

The kinematics equation is derived by integrating the acceleration function twice with respect to time (t).

Acceleration, a = d²s/dt², where s is displacement, and d²s is the second derivative of displacement with respect to time.

taking integral w.r.t time twice:

∫ a dt = ∫ d²s/dt² dt integrating once gives, v = at + C₁ (where C₁ is a constant of integration)

integrating twice gives, s = 1/2at² + C₁t + C₂ (where C₂ is a constant of integration)

Thus, the kinematics equation for an object moving with constant acceleration can be represented by

s = 1/2at² + vit + s₀,

where s is the displacement, a is the acceleration, t is time, vi is initial velocity, and s₀ is initial displacement.

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Answer: Solution: (4,-3)

Complete the sentences to explain what steps were followed to obtain the system of equations below.

System B

1- y = 7

by = -18

To get system B, the

equation in system A was replaced by the sum of that equation and

equation. The solution to system B

the same as the solution to system A.

times the

Step-by-step explanation:

We can conclude that -

The exponential function is of the form -

f(x) = eˣ

Given is to write the exponential growth and exponential decay equation.

{ 1 } -

The general exponential growth equation is -

\($f(x)=a(1+r)^{x}\)

{ 2 } -

The general exponential decay equation is -

\($\frac {dN}{dt}= -\lambda N\)

Option {A} and option {E} represent the exponential decay. Option {B}, {E} and {D} represent exponential growth.

Therefore, we can conclude that -

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Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

Answer:

The second statement is true.

Step-by-step explanation:

Draw the corresponding parabola and use it to verify  all statements.

Answer:

The function is negative for all real values of x where

x < –3 and where x > 1.

Step-by-step explanation:

The answer above is correct.

Given: A 180 degree rotation of a vertical angle will always map to the other vertical angle

To Determine: The prove that the vertical angles are congruent

Draw and label to vertical lines with an angle

The 180 degree rotation of the vertical angle BOC would give:

Note that the other vertical would be AOD

The students should respond that

Hence, the 180 degree rotation of a vertical angle will always map to the other vertical angle which are congruent to each other because:

The vertical angles are vertically opposite to each other

Answer:

Graph X

since it works ...............................................

In this case, Anika can choose to read the books over the summer in 604800 different orders.

Different orders can be chosen by Anika to read the books over the summer. This can be calculated using the permutation formula.

The formula for permutation is:

P(n,r) = n!/(n-r)!

Where:

P = permutation

n = total number of items

r = number of items taken at a time

In this case, n = 9 (total number of books) and r = 9 (number of books taken at a time).

Therefore,P(9,9) = 9!/(9-9)! = 9!/0! = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 = 604800

Hence, Anika can choose to read the books over the summer in 604800 different orders.

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Answer:

\((x-9)^{2}+(y-3)^{2} =100\)

Step-by-step explanation:

The standard form formula for a circle equation is  \((x-h)^{2}+(y-k)^{2} =r^{2}\), where (h,k) represents the center of the circle, and r represents the radius.

r=10

(h,k)= (9,3)

\((x-h)^{2}+(y-k)^{2} =r^{2}\)

\((x-9)^{2}+(y-3)^{2} =10^{2}\\(x-9)^{2}+(y-3)^{2} =100\)

Learning platforms that use algorithms to adjust the content that each student sees in order to maximize learning efficiency is called Adaptive learning

Adaptive learning platforms utilize algorithms to tailor the learning experience for individual students based on their needs, abilities, and learning progress.

By analyzing data and feedback, adaptive learning systems can dynamically adjust the content, pace, and difficulty level to optimize learning efficiency and personalize the educational journey for each student.

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Ann and Byron set up shop 35 meters apart on one side of a creek, with the height of the cliff on the other side of the stream being 106.73 meters.

Since a triangle has three sides and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker given to a triangle that has vertices A, B, and C. When the three points are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sides and three corners. The points where the three sides meet are known as the triangle's corners.

given

consider the triangles ABC and ACD

from the figure

∠DAC = 36°

∠CAB = 68°

AD = 35 m

we have to find the height of the cliff i.e. he length BC

i.e. the length BC

cosθ = adjacent side / hypotenuse

cos36° = 35 / AC

AC = 43.21 m

tan68° = BC / 43.21

BC = 43.21 * 2.47 = 106.73 m

Ann and Byron set up shop 35 meters apart on one side of a creek, with the height of the cliff on the other side of the stream being 106.73 meters.

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A conclusion which can be inferred about an individual score that corresponds to a z-value of 1.0 is that: c.) it is likely to come from the healthy distribution.

A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:

\(Z=\frac{x\;-\;u}{\delta}\)

Where:

Since the individual score that corresponds to a z-value of 1.0, we can reasonably infer and logically conclude that an individual score is likely to come from the healthy distribution.

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Complete Question:

Scores of healthy adults on a neurological test form a normal distribution with mean = 100 and SD = 15. What conclusion can be inferred about an individual score that corresponds to a z value of 1.0?

a.) it falls in the general region of the population

distribution

b.) it falls in the common region of the distribution

c.) it is likely to come from the healthy distribution

d.) it is unlikely to come from the healthy distribution

The pieces of cloth are beyond the standard at 0.05 level of significance.

We can use a one-sample t-test to determine if the mean length of the 35 pieces of cloth is significantly different from the standard length of 3.25 meters.

The null hypothesis is that the mean length of the cloth pieces is equal to the standard length:

H0: μ = 3.25

The alternative hypothesis is that the mean length of the cloth pieces is greater than the standard length:

Ha: μ > 3.25

We can calculate the test statistic as:

t = (x - μ) / (s / √n)

where x is the sample mean length, μ is the population mean length (3.25 meters), s is the sample standard deviation (0.52 meters), and n is the sample size (35).

Plugging in the values, we get:

t = (3.52 - 3.25) / (0.52 / √35) = 3.81

Using a t-table with 34 degrees of freedom (n-1), and a significance level of 0.05 (one-tailed test), the critical t-value is 1.690.

Since our calculated t-value (3.81) is greater than the critical t-value (1.690), we reject the null hypothesis and conclude that the mean length of the 35 pieces of cloth is significantly greater than the standard length at the 0.05 level of significance.

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Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

We simplify 5:20 and 9:36 as 1:4

Since they are both equal to 1:4, the total ball ratio should also be equal to 1:4


x:56 = 1:4
(x:14) : (56:14) = 1:4
(x:14) : 4 = 1:4

So, x : 14 = 1
x = 1.14 = 14.

The interval of convergence of the series \(\sum_{n=2}^{\infty} \frac{(x^n)}{(ln(n))^2}\) is (-1, 1).

To find the interval of convergence, we will use the Ratio Test.

The Ratio Test states that if the limit as n approaches infinity of the absolute value of the ratio of consecutive terms (\(|a_{(n+1)}/a_n|\)) is less than 1, then the series converges.

Identify the terms of the series:

\(a_n = \frac{(x^n)}{(ln(n))^2}\)

Calculate the ratio of consecutive terms:

\(a_{(n+1)}/a_n = \frac{[(x^{(n+1)})/(ln(n+1))^2] }{[(x^n)/(ln(n))^2]}\)

Simplify the ratio:

\(a_{(n+1)}/a_n = \frac{(x^{(n+1)} \times (ln(n))^2) }{ (x^n \times (ln(n+1))^2)}\)

Take the limit as n approaches infinity:

\(\lim_{n \to \infty} |\frac{(x^{(n+1)} \times (ln(n))^2) }{(x^n \times (ln(n+1))^2)}|\)

Further, simplify:

\(\lim_{n \to \infty} |\frac{(x \times (ln(n))^2) }{ (ln(n+1))^2}|\)

Apply the limit:

\(\lim_{n \to \infty} |\frac{(x \times (ln(n))^2) }{ (ln(n+1))^2}| = |x|\)

Since the series converges when the limit is less than 1, we have:
| x | < 1

Solving this inequality, we get the interval of convergence:
-1 < x < 1

So, the interval of convergence of the given series is (-1, 1).

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Two times the quantity of the difference m and n is equation to x more than 7

1. sinh(2x) = 2sinh(x)cosh(x) Using Osborne's rule, replace sin^2(x) with (1-cos^2(x)). Apply the hyperbolic definitions of sin(2x), sin^2(x), and cos^2(x) to obtain the hyperbolic counterpart.

2. sinh(x-y) = sinh(x)cosh(y) - cosh(x)sinh(y) Apply Osborne's rule to the trigonometric identity sin(x-y) = sin(x)cos(y) - cos(x)sin(y), replacing sin(x), cos(x), sin(y), and cos(y) with their hyperbolic counterparts.

3. cosh(2x) = 2cosh^2(x) - 1Substitute cos^2(x) with (1+cos^2(x)) using Osborne's rule. cosh(2x) and cos^2(x) to derive the hyperbolic identity.

4. cosh(x-y) = cosh(x)cosh(y) - sinh(x)sinh(y) Replace cos(x), sin(x), cos(y), and sin(y) in the trigonometric identity cos(x-y) = cos(x)cos(y) + sin(x)sin(y) with their hyperbolic counterparts using Osborne's rule.

5. tanh(2x) = (2tanh(x))/(1 + tanh^2(x))

Use Osborne's rule to replace sin^2(x) and cos^2(x) in the trigonometric identity tan^2(x) = (1 - cos^2(x))/(cos^2(x)). tanh(2x) and tan^2(x) to obtain the hyperbolic counterpart.

6. sinh(3t) = 3sinh(t) - 4sinh^3(t) Apply Osborne's rule to the trigonometric identity sin(3t) = 3sin(t) - 4sin^3(t), replacing sin(t) with sinh(t) to derive the hyperbolic counterpart.

7. 2sinh(x)cosh(x) = sinh(2x)Use the hyperbolic definitions of sinh(2x), sinh(x), and cosh(x) to calculate both sides.

8. cosh(x)cosh(y) + sinh(x)sinh(y) = cosh(x+y)Substitute the hyperbolic definitions of cosh(x), cosh(y), sinh(x), and sinh(y) into the left side. Simplify the expression to cosh(x+y) to establish the equality.

9. tanh(ln(3)) = 1/8 Replace the natural logarithm with its corresponding hyperbolic function. Evaluate tanh(ln(3)) using the hyperbolic tangent of the logarithm of 3, resulting in 1/8.

10. 4cosh^3(t) = cosh(3t) + 3cosh(t)

11. d/dx(coth(x)) = -cosech^2(x)

Take the derivative of coth(x) using the derivative of its hyperbolic counterpart. Simplify the expression to -cosech^2(x) to establish the equality.

12. d/dx(sech(x)) = -sech(x)

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Answer:

y is -16

Step-by-step explanation:

Fory =3x -1

Substitute x= -5

y=3(-5) -1

3(-5) -1= -16

y= -16

The equation of a line in point slope form is y - y₁ = m(x - x₁) and the equation of a line in slope intercept form is y = mx + b.

The equation of a line can be represented in different form such as point slope form, slope intercept form, general form and standard form.

The equation of a line in point slope form is as follows:

y - y₁ = m(x - x₁)

where

The equation of a line in slope intercept form is as follows:

y = mx + b

where

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Question 1a

To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:

Annual Depreciation = (Cost - Salvage Value) / Useful Life

Substituting the given values, we get:

Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year

This means that the tractor will depreciate by $18,000 each year for the next 10 years.

To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:

Depreciation Expense for Year 1 = $18,000

Therefore, the book value of the tractor at the end of the first year will be:

Book Value = Cost - Depreciation Expense for Year 1

= $200,000 - $18,000

= $182,000

So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D

Question 1(b)

To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:

Calculate the total current liabilities using the current ratio:

Current Ratio = Current Assets / Current Liabilities

2 = $80,000 / Current Liabilities

Current Liabilities = $80,000 / 2

Current Liabilities = $40,000

Calculate the total liabilities using the debt/equity ratio:

Debt/Equity Ratio = Total Liabilities / Owner Equity

1.0 = Total Liabilities / $100,000

Total Liabilities = $100,000 * 1.0

Total Liabilities = $100,000

Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:

Noncurrent Liabilities = Total Liabilities - Current Liabilities

Noncurrent Liabilities = $100,000 - $40,000

Noncurrent Liabilities = $60,000

Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.

The required white effective interest rate is 0.71% more than his nominal interest rate.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

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Answer:

big bodie built

Step-by-step explanation:

i used to be dusty

Based on the calculations, the value of the given prefix expression is equal to 2205.

The preorder traversal of a tree (T) are typically used in discrete mathematics to determine the value of a prefix expression on a specific expression tree.

For the preorder traversal of this tree (T), we would start from the right most expression:

Prefix expression = * + 3 + 3 ↑ 3 + 3 3 3

Prefix expression = * + 3 + 3 ↑ 3 6 3

Prefix expression = * + 3 + 3  3⁶  3

Prefix expression = * + 3 3 729 3

Prefix expression = * + 3 732 3

Prefix expression = * 735 3   ⇒ 735 × 3

Value = 2205.

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Complete Question:

Given the following prefix expression:

* + 3 + 3 ↑ 3 + 3 3 3

What is the value of the prefix expression?

Jebb is 6 feet 4.5 inches tall.

What is height?

The distance between the bottom and top of an object or person is a measurement of its height.

Height, altitude, and elevation all refer to the vertical distance, either between the top and bottom of something or between its base and something above it. Height is a term for something that can be high or low and is measured vertically.

Given: Jebb is the tallest player on the basketball team.

He is 1 1 /2 times as tall as the shortest girl in the sixth grade, who is 4 1 /4 feet tall.

Here

1 1/2 times 4 1/4

change to improper fractions

\(1\frac{1}{2} = \frac{(2)(1)+1}{2}= \frac{3}{2}\)

\(4\frac{1}{4}= \frac{(4)(4)+1}{4} = \frac{17}{4}\)

⇒  1 1/2 times 4 1/4  is (3/2)*(17/4)

\(\frac{3}{2}(\frac{17}{4})=\frac{51}{8}\)

Convert 51/8 into improper fraction.

\(\frac{51}{8} = 6\frac{3}{8}\)  feet tall.

3/8 of 12 inches is,

\(\frac{3}{8}(12) = \frac{36}{8}\)

Convert 36/8 into improper fraction

\(\frac{36}{8} = 4\frac{4}{8}\)  inches

Here 4/8 = 0.5

⇒ \(4\frac{4}{8} = 4.5\)

Hence, Jebb is 6 feet 4.5 inches tall.

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Answer: 14

Step-by-step explanation:  

x + 9 = 23

   -9     -9

x = 14

Answer:

The number is 222

Step-by-step explanation:

The given parameters are;

The method Ashley models the 3 digit number = A mix of six base-ten blocks

The digits of the 3 digit number are equal

Therefore, given that in a 3 digit number, we have, hundreds, 100s, tens, 10s, and units, 1s, we can find the digits as follows;

Let 'x' represent the number of hundreds digits, let 'y' represent the number of tens digits and let 'z' represent the number of units digits, we have;

x = y = z...(1)

x + y + z = 6...(2)

Substituting the value of x = y, and x = z from equation (1), in equation (2), we get;

x + y + z = x + x + x = 6

∴ 3·x = 6

∴ x = 6/3 = 2

x = 2 = y = z

Therefore, the 3-digit numbers xyz = 222

Answer:

it is 1/30

Step-by-step explanation:

Lets say x =0.03 repeating

100x=3.3333....

-  10x=0.333....

_____________

90x=3

Then divide both sides by 9 to get x:

x=3/90

simplify:

x=1/30

Answer:

y=400x

Step-by-step explanation:

This is because the graph rate is up 400 each time. Ex. (1,400) (2,800) (3,1200) etc

Hope this helped