plz help!!

Classify 3.14

Answer:

30

Step-by-step explanation:

a^2 + b^2 = c^2

(8sqrt(3))^2 + b^2 = 16^2

64 * 3 + b^2 = 256

192 + b^2 = 256

b^2 = 64

b = 8

The ratio of the lengths of the sides of this triangle is

8 : 8sqrt(3) : 16

which reduces to

1 : sqrt(3) : 2

This is the ratio of the lengths of the sides of a 30-60-90 triangle.

m<W = 30 deg

A) The ball in the ground is represented by h(t)=0, that is, the height is equal to 0, the reference level.

Then, we can find for which values of t we have h(t).

We equal h(t) to 0 and calculate t as:

The ball is in the ground at time t=0 (an instant before it is kicked) and then again at time t=4, that is the value we are looking for: the ball landed again in the ground 4 seconds after kicked.

B) The maximum height can be find in two ways:

- By finding the t-value of the vertex, that in this case will be correspond to the maximum height as this is a concave down parabola with only one extreme point.

- Deriving the function and equaling to 0 and finding t.

If we apply the first method, we have:

As the vertex is at time t=2 seconds, the maximum height happens at t=2.

Answer: A) t = 4 seconds B) t = 2 seconds

NOTE for Part B:

If we derive the expression, we get:

Answer:

y=-45

Step-by-step explanation:

y-15=-60

y=-45

To determine when the rate of change of population is fastest, we need to analyze the behavior of the derivative dP/dt. Since the population is at its carrying capacity when P = 75, the rate of change of population is fastest when P is farthest from its carrying capacity. In this case, it would be at the lowest population value, which is P = 0.

The differential equation given is:

dP/dt = 2(1 - P/150)P

To find the carrying capacity, we need to determine the equilibrium point of the population, where the rate of change is zero (i.e., dP/dt = 0).

Setting dP/dt = 0 in the differential equation:

0 = 2(1 - P/150)P

Simplifying:

0 = 2P - \(2P^2\)/150

0 = P - \(P^2\)/75

Rearranging:

\(P^2\)/75 - P = 0

Factoring out P:

P(P/75 - 1) = 0

This equation is satisfied when either P = 0 or P/75 - 1 = 0.

For P = 0, the population is at its lowest and there is no growth.

For P/75 - 1 = 0, solving for P:

P/75 = 1

P = 75

So, the carrying capacity of the population, in this case, is 75.

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find the carrying capacity of differential equation: dP/dt= 2(1-P/150)P Suppose p(t) represents population of species x at time t years. what would be the population when the rate of change of population is fastest?

If the new 2022 tesla depreciated rate 2.2% each year and cost of assist price for tesla is $62,990, then the depreciation value is equals to the $28631.8181818.

The depreciation rate is the percentage by which an asset depreciates over its estimated productive life. Formula

Annual Depreciation Value = (Asset Cost - Asset Salvage Value) /Annual Depreciation Rate

Asset Cost: This is the initial value of the asset. This includes taxes or shipping charges (if any) paid on the asset.

We have the depreciated rate = 2.2% each year. Bought amount for your new tesla = $62,990

Cost of Asset = $62,990

Salvage value of Asset = $0

Depreciation Rate per Year = 2.2%

Using the above formula, Depreciation Value per year = $(62,990 - 0 )/2.2

= 629900/22

= 28631.8181818

Hence, required depreciation value for each year is $28631.8181818.

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Complete question :

Your new 2022 tesla depreciated 2. 2% each year. You just bought your new tesla for $62,990. Find out the depreciation value.

When a fair die with faces numbered 1 to 6, the probability that the number landing face up is less than 3 is 1/3.

The probability measures how likely an event to occur. The probability of an event A is defined as:

P(A) = number of ways that event A can occur / all possible outcomes

In the given problem, let x be any number of die's face, then

number of ways x will show up = 1

all possible outcomes = 6

Hence,

P(x) = 1/6

Numbers that are less than 3 is 1 and 3. Therefore,

P (x<3) = P(1) + P(2)

P (x<3) = 1/6 + 1/6 = 2/6 = 1/3

Therefore, we can conclude that the probability that the number landing face up is less than 3 is 1/3

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The system of equation line 1: y=-2x+4 and line 2: y=-2x has no solution.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given the system of equation as;

line 1: y=-2x+4

line 2: y=-2x

Here we can put x = 1

Then;

y= -2(1) + 4

y = -2 + 4

y = 2

-2x=-2x+4

x = 0

Therefore, we can see that the system of equation has no solution.

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Answer:

C

Step-by-step explanation:

All you do is take the number choices and plug it into the equation. For example if you take A and plug it in the equation would look like -5(-5) < 25 and -5 times -5 is 25 so you know 25 is equal to 25 not less than.

If you plug in C you get -5(-4) < 25 and -5 times -4 is 20 and 20 is indeed less than 25

Answer:

0.64

Step-by-step explanation:

Answer:

D. 3x²

General Formulas and Concepts:

Algebra II

Calculus

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

\(f(x)=e^{3lnx}\)

Step 2: Rewrite

\(f(x) = x^3\)

Step 3: Take Derivative

The required absolute value linear inequality is 15 ≤ t ≤ 20.

What is absolute value linear inequality?

A variable enclosed by the absolute value sign of an inequality is known as an absolute value inequality.

Given highest temperature as 20°C and lowest temperature as 15°C

Given variable is t.

From the first condition we get t ≤ 20  ...........(1)

From  the second condition we get 15 ≤ t  .....(2)

From the inequalities (1) and (2), we get

15 ≤ t ≤ 20

Therefore, the required absolute value linear inequality is 15 ≤ t ≤ 20.

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The diameter of the circular garden round to the nearest tenth will be 19.1 inches.

In a circle, an infinite number of diameters can be drawn. A diameter is a straight line passing through the center and joins two points of the circumference of a circle. The length of a diameter is twice the length of the radius.

The circumference of a circle is given by C = πd, where d is the diameter of the circle and π can be taken as 3.14.

Substitute C = 60 and π = 3.14 into the above formula and find d.

60 = 3.14×d

d = 60/3.14

≈ 19.108

≈ 19.1

Therefore, the obtained answer is 19.1 inches.

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The estimation of 0.000007328 is \(7\times10^{-6\).

Estimation is he ability to guess the amount of anything without actual measurement.

The number (n) is given as:

\(\text{n}=0.000007328\)

Multiply by 1

\(\text{n}=0.000007328\times1\)

The number is to be rounded to the nearest millionth.

So, we substitute \(\frac{1000000}{1000000}\) for 1

\(\text{n}=0.000007328\times1\)

\(\text{n}=0.000007328\times\dfrac{1000000}{1000000}\)

This becomes

\(\text{n}=7.328\times\dfrac{1}{1000000}\)

Express the fraction as a power of 10

\(\text{n}=7.328\times10^{-6\)

Approximate to a single digit

\(\rightarrow\bold{n=7\times10^{-6}}\)

Therefore, the estimation of 0.000007328 is \(7\times10^{-6}\).

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Answer:

49.87%

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 70%

σ is the population standard deviation = 8%

a) For x = 70%

z = 70% - 70%/8%

z = 0

Probability value from Z-Table:

P(x = 70) = 0.5

b) For x = 70%

z = 94% - 70%/8%

z = 3

Probability value from Z-Table:

P(x = 94) = 0.99865

The probability of students that receive between a 70% and 94%

P(x = 94) - P(x = 70)

0.99865 - 0.5

0.49865

Therefore, the percentage of students that receive between a 70% and 94% is

0.49865 × 100

= 49.865%

Approximately = 49.87%

False. While it is true that forecasts can be subject to uncertainties and may not always be entirely accurate, it is not necessarily most appropriate to use the standard deviation of demand as the primary measure of uncertainty.

The standard deviation represents the dispersion of data points around the mean, and it is commonly used to measure variability within a dataset. However, it may not capture all the sources of uncertainty in demand forecasting.

Forecasts consider various factors such as historical data, market trends, customer behavior, and external influences to estimate future demand. Although they may not be entirely precise, they provide valuable insights and help organizations make informed decisions regarding production, inventory management, and resource allocation.

In addition to the standard deviation, other measures of uncertainty, such as confidence intervals or prediction intervals, can be used to quantify the range of possible outcomes and the associated level of uncertainty. These measures provide a more comprehensive understanding of the potential variations in demand, considering the inherent uncertainties in forecasting.

In conclusion, while forecasts may not always be completely accurate, they provide useful guidance for decision-making. The standard deviation of demand alone may not adequately capture the full range of uncertainties, and it is important to consider other measures of uncertainty when assessing the reliability and potential variations in demand forecasts.

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Answer:

a^2 + b^3 + c^3

Step-by-step explanation:

There are 2 A's that are multiplying each other which would make A squared.

There are 3 B's meaning B would cubed, which is the same for C.

Hope that helps :)

we have

Walker family= 20 L/H

James family = 35 L/H

Total time= 50h

total water= 1300L

let's x be the time walker family use the sprinkler

let's y be the time James family use the sprinkler

then the total time is given by

First equation

second equation

then the flow of water of is

Walker family = x*20

James Family = y*35

since the total flow is 1300L

then

now with the 2 system equation we can solve x and y

then

then

x+20=50

x=50-20=30

wich means

the walker family use the sprinkler for 30h

and

the James family use the sprinkler for 20h

Answer:

its A

Step-by-step explanation:

Answer:1) commutative property of addition

Step-by-step explanation:

When the null hypothesis is true as an equality, the probability of committing a type I error is denoted by α and it is equal to the significance level.

A null hypothesis is a type of hypothesis used in statistics that proposes that no statistical significance exists in a series of given observations. The null hypothesis is a hypothesis that implies that no statistical significance exists in a set of given observations. It is the default assumption in which one begins. In null hypothesis testing, the null hypothesis is typically the statement that there is no difference between two measured phenomena.Type I errorWhen the null hypothesis is correct and we reject it, a Type I error occurs. A type I error, also known as a false positive, occurs when the null hypothesis is rejected when it is true. In other words, the null hypothesis (H0) is correct, but we reject it. A type I error can occur when testing a statistical hypothesis because statistical tests involve a probability of making a mistake.

The null hypothesis is accepted if the value obtained from the test statistic falls within the range of the null distribution. If the test statistic falls outside of the range of the null distribution, the null hypothesis is rejected in favor of the alternative hypothesis. The decision to reject or accept the null hypothesis is based on the comparison of the test statistic to the critical value.

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Answer:

length: 167 yards

width: 40 yards

Step-by-step explanation:

4x+7

4(40)+7=167

167+167+40+40= 414

The range of rate that Nadia can type is 27 to 37.

We will calculate the lower and upper limit stating the minimum and maximum number of words Nadia can type in a minute. It will depict the range of rate.

Minimum number of words = 32 - 5

Performing subtraction on Right Hand Side of the equation

Minimum number of words = 27

Maximum number of words = 32 + 5

Performing subtraction on Right Hand Side of the equation

Minimum number of words = 37

Hence, Nadia's range of word typing is 27 to 37 per minute.

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The probability that the die comes up 3 at least once is approximately 0.598122 or 59.8122%.

Probability is a measure of the likelihood or chance that a specific event or outcome will occur. It quantifies the degree of uncertainty associated with an event and is expressed as a number between 0 and 1, where 0 represents impossibility and 1 represents certainty.

(a) To calculate the probability that all five rolls are 2, we need to determine the probability of rolling a 2 on a fair six-sided die, and then multiply that probability by itself five times (since each roll is independent).

The probability of rolling a 2 on a fair six-sided die is 1/6. Therefore, the probability that all five rolls are 2 is \((1/6)^5\).

Calculating this probability:

Probability =\((1/6)^5\)

Probability ≈ 0.000128

So, the probability that all five rolls are 2 is approximately 0.000128.

(b) To calculate the probability that the die comes up 3 at least once, we can use the complement rule. The complement of "at least once" is "none," so we can find the probability of not rolling a 3 in any of the five rolls and subtract it from 1.

The probability of not rolling a 3 on a single roll is 5/6. Since each roll is independent, the probability of not rolling a 3 in all five rolls is (5/6)^5.

Calculating this probability:

Probability = \(1 - (5/6)^5\)

Probability ≈ 0.598122

So, the probability that the die comes up 3 at least once is approximately 0.598122 or 59.8122%.

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An integer known as a binomial number is created by evaluating a homogeneous polynomial with two terms, also known as a binomial.

Polynomials are algebraic expressions that include constants and indeterminates. Polynomials are a type of mathematics. In almost every branch of mathematics, they are used to express numbers, and calculus is one of those branches where they play a particularly significant role.

Polynomials include formulas like 2x + 9 and x² + 3x + 11. You may have noticed that none of these examples include the "=" sign.

Each variable's exponent in an algebraic expression for a polynomial must be a whole number. Polynomial exponents have to be non-negative integers. A polynomial cannot be divided by a variable even though it contains both constants and variables.

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Do you have a picture of your question?

To solve this problem, I'll use proportions.

Result z = 45.56

It's correct

Answer:

It 12 units!!!!

Step-by-step explanation:

-8+8=0

0+4=4

8+4=12!!!

gl ;)

The scale factor of the blueprint of the deck is 1.5 inches = 4 feet

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

Given that, Scott has a blueprint of the new deck he is building with dimensions 7.5 inches by 4.5 inches. The actual deck will have dimensions 20 feet by 12 feet.

We need to find the scale factor,

7.5 / 20 = 1.5 / 4

Therefore,

There are 1.5 inches in 4 feet

Hence, the scale factor of the blueprint of the deck is 1.5 inches = 4 feet

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The probability the 51st call arriaves within 150hours is 0.0431, the probability the next call arrives within the next 2 hours 0.5488, the probability the sum of these 50 numbers is less than 356 is 0.4165.

Data;

Using poission formula,

\(P(x=x) = \frac{e^-^\lambda - \lambda^x}{x!}\\\lambda = 0.3 per minute\)

Let's substitute the values into the formula.

For 50 calls in 150 hours

For 150 hours = x = 0.3 * 150 = 45

\(p(x=50) = \frac{e^-^4^5 * 45^5^0}{50!} = 0.0431\)

b)

The probability the next call arrives after 2 hours.

\(\lambda = 0.3 * 2 = 0.6\\p(x=0) = \frac{e^-^0^.^6 * 0.6^0}{0!} = 0.5488\)

c)

The number of calls recieved each day is recorded for 50 consecutive days.

for 50 days;

\(\lambda = 0.3 * 50 * 24 = 360\)

The mean = 360

The standard deviation is given as

\(S.D = \sigma =\sqrt{360} = 18.974\\\)

The probability the sum of these 50 number is less than 356 is

\(p = (x < 356) = z = \frac{356 - 360}{18.974} = -0.2108\\p(z < -0.2108) = 0.4165\)

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Answer:

3/7 + 1/4 = 19/28

Step-by-step explanation:

All you gotta do is add 3/7 + 1/4 which equals to 19/28.

Hope this helps! :)

Answer:

4

Step-by-step explanation:

it works on edgenutiy 2021