A tree is standing next to a 40 foot high building the tree has a 9 foot shadow of the building has 18 foot shadow how tall is the tree rounded to the nearest foot

Answer: 3.675 seconds

Step-by-step explanation:

Hi, when the object hits the ground, h=0:

h=−16t^2+48.6t+37.5

0=−16t^2+48.6t+37.5

We have to apply the quadratic formula:  

For: ax2+ bx + c  

x =[ -b ± √b²-4ac] /2a  

Replacing with the values given:  

a=-16 ; b=48.6; c=37.5

x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)  

x = [ -48.6 ± √ 4,761.96] /-32

x = [ -48.6 ± 69] /-32

Positive:  

x = [ -48.6 + 69] /-32 = -0.6375

Negative:  

x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)

Feel free to ask for more if needed or if you did not understand something.  

Answer:

BC<MN

Step-by-step explanation:

lim x→4 2x x − 4 − 8 x − 4 = lim x→4 2x x − 4 − lim x→4 8 x − 4, If lim x→5 f(x) = 0 and lim x→5 g(x) = 0, then lim x→5 f(x) g(x) does not exist,  If f(3) = 2 and lim x→3+ f(x) = 2, then lim x→3− f(x) = 2, If lim t→0 h(t) does not exist, then h(0) cannot exist all these Limits statement are False

A limit in mathematics is a value that a function approaches when the input gets closer to a certain value. Limits are used to find a function's derivative and integral as well as to characterize how a function behaves around particular places.

lim x -> c f(x) = L

(a) False.

According to the rules of limits, if both limits are present, the limit of a sum of two functions is equal to the total of their limits. The assertion, however, cannot be valid if one or both of the boundaries do not exist.

(b) False.

According to the limit laws, if the sum of two functions approaches 0, then the sum of their limits also does. The opposite of this statement is untrue, though.

In this instance, even if x approaches 5 and both f(x) and g(x) approach 0, the product of their limits, f(x)g(x), may not exist at all or may approach a non-zero value.

(c) False.

A function's limit as x gets closer to a number from the right is not always the same as the limit as x gets closer to the same number from the left.

Although f(3) = 2 in this instance and lim x3+ f(x) = 2, the limit of f(x) as x approaches 3 from the left may not be 2.

(d) False.

The absence of a limit does not imply the existence of the function's value at that time.

In this instance, the value of h(0) may still exist even though the limit of h(t) as t approaches 0 does not exist.

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All these given Limit statement are False.

(a) lim x→4 2x x − 4 − 8 x − 4 = lim x→4 2x x − 4 − lim x→4 8 x − 4

(b) If lim x→5 f(x) = 0 and lim x→5 g(x) = 0, then lim x→5 f(x) g(x) does not exist

(c) If f(3) = 2 and lim x→3+ f(x) = 2, then lim x→3− f(x) = 2

(d) If lim t→0 h(t) does not exist, then h(0) cannot exist.

A limit in mathematics is a value that a function approaches when the input gets closer to a certain value. Limits are used to find a function's derivative and integral as well as to characterize how a function behaves around particular places.

lim x -> c f(x) = L

(a) False.

According to the rules of limits, if both limits are present, the limit of a sum of two functions is equal to the total of their limits. The assertion, however, cannot be valid if one or both of the boundaries do not exist.

(b) False.

According to the limit laws, if the sum of two functions approaches 0, then the sum of their limits also does. The opposite of this statement is untrue, though.

In this instance, even if x approaches 5 and both f(x) and g(x) approach 0, the product of their limits, f(x)g(x), may not exist at all or may approach a non-zero value.

(c) False.

A function's limit as x gets closer to a number from the right is not always the same as the limit as x gets closer to the same number from the left.

Although f(3) = 2 in this instance and lim x3+ f(x) = 2, the limit of f(x) as x approaches 3 from the left may not be 2.

(d) False.

The absence of a limit does not imply the existence of the function's value at that time.

In this instance, the value of h(0) may still exist even though the limit of h(t) as t approaches 0 does not exist.

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The statement  of the given question is True.

True. This is because there are only 14 different types of socks to choose from, so if you choose 15 socks, there must be at least one pair of socks that match. This is known as the Pigeonhole Principle, which states that if there are more pigeons than pigeonholes, at least one pigeonhole must contain more than one pigeon. In this case, the socks are the pigeons and the different types of socks are the pigeonholes.

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Answer: there’s many definitions as in ‘going’ so please specify where you’re going

Step-by-step explanation:

Answer:

(f-g)(x)=4x^2+1-x^2+5

=3x^2+6

=3(x^2+2)

Answer:

(625 - 121)(625 + 121)

Step-by-step explanation:

625² - 121² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

then

625² - 121²

= (625 - 121)(625 + 121) ← in factored form

The correlation analysis indicates a moderate positive relationship between Column X and Column Y.

To perform correlation analysis, we can use the Pearson correlation coefficient (r) to measure the linear relationship between two variables, in this case, Column X and Column Y. The value of r ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.

Here are the steps to calculate the correlation coefficient:

Calculate the mean (average) of Column X and Column Y.

Mean(X) = (10+6+39+24+35+12+33+32+23+10+16+16+35+28+5+22+12+44+15+40+46+35+28+9+9+8+35+15+34+16+19+17+21) / 32 = 24.4375

Mean(Y) = (37+10+18+12+11+34+26+9+42+24+40+1+39+24+42+7+17+17+27+47+35+14+38+18+17+22+12+30+18+43+24+45+24) / 32 = 24.8125

Calculate the deviation of each value from the mean for both Column X and Column Y.

Deviation(X) = (10-24.4375, 6-24.4375, 39-24.4375, 24-24.4375, ...)

Deviation(Y) = (37-24.8125, 10-24.8125, 18-24.8125, 12-24.8125, ...)

Calculate the product of the deviations for each pair of values.

Product(X, Y) = (Deviation(X1) * Deviation(Y1), Deviation(X2) * Deviation(Y2), ...)

Calculate the sum of the product of deviations.

Sum(Product(X, Y)) = (Product(X1, Y1) + Product(X2, Y2) + ...)

Calculate the standard deviation of Column X and Column Y.

StandardDeviation(X) = √[(Σ(Deviation(X))^2) / (n-1)]

StandardDeviation(Y) = √[(Σ(Deviation(Y))^2) / (n-1)]

Calculate the correlation coefficient (r).

r = (Sum(Product(X, Y))) / [(StandardDeviation(X) * StandardDeviation(Y))]

By performing these calculations, we find that the correlation coefficient (r) is approximately 0.413. Since the value is positive and between 0 and 1, we can conclude that there is a moderate positive relationship between Column X and Column Y.

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The evaluation of the equation to find the value of n in the rational function \(\frac{1}{n^2} + \frac{1}{n} = \frac{1}{2\cdot n^2}\) is; n = -1/2

A rational function is a function that contains rational fractions, such that the dividend and the divisor are polynomial expressions.

2) The specified rational equation or function can be presented as follows;

The above equation consists of rational expressions. The expressions can be resolved by collecting like terms as follows;

The like terms are terms that can be resolved by simple addition or subtraction.

1/n = 1/(2·n²) - 1/(n²) = (1 - 2)/(2·n²) = -1/(2·n²)

1/n = -1/(2·n²)

Multiplying both sides by n, we get;

(1/n) × n = (-1/(2·n²)) × n

(1/n) × n = 1 = (-1/(2·n))

1 = (-1/(2·n))

Multiplying both sides by n, we get;

1 × n = (-1/(2·n)) × n

n = -1/2

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Answer:

x ≤ 3

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define inequality

3x ≤ 9

Step 2: Solve for x

Here we see that any solution x less than or equal to 3 would be a solution of the inequality.

The meridians of longitude identify the degrees east and west of the Prime Meridian. These lines are scientifically based because they are determined by the Earth's rotation and provide a consistent and accurate system for navigation, mapping, and timekeeping.

1. The meridians of longitude are imaginary lines that run vertically from the North Pole to the South Pole on the Earth's surface.
2. The Prime Meridian, located at 0 degrees longitude, serves as the starting point for measuring degrees east and west.
3. The degrees of longitude are divided into 360 equal parts, with each degree representing one hour of the Earth's rotation.
4. The meridians of longitude allow us to determine specific locations on the Earth's surface and measure the angular distance from the Prime Meridian.
5. The scientific basis of meridians of longitude enables global coordination and facilitates activities such as international travel, communication, and scientific research.

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The function P(x) = -x² + 100x - 1600 has two x-intercepts at x = 20 and x = 80.

A quadratic equation is a second-degree polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants, and x is the variable. The term "quadratic" comes from the Latin word "quadratus," which means square, as the highest degree in a quadratic equation is x².

To find the x-intercepts of the function P(x) = -x² + 100x - 1600, we need to set P(x) equal to zero and solve for x:

0 = -x² + 100x - 1600

We can solve this quadratic equation using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a = -1, b = 100, and c = -1600. Plugging in these values, we get:

x = (-100 ± √(100² - 4(-1)(-1600))) / 2(-1)

Simplifying, we get:

x = (-100 ± √(10000 - 6400)) / (-2)

x = (-100 ± √(3600)) / (-2)

x = (-100 ± 60) / (-2)

x = 20 or x = 80

Therefore, the function P(x) = -x² + 100x - 1600 has two x-intercepts at x = 20 and x = 80. The answer is 2.

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The complete question is:

This is the graph of the function P(x) = -x2 +100 - 1600. How many x intercepts are there? 0, 1, 2, 3,

Image of graph is attached below

As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.

Similarity theorem:

In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

Given,

Here we need to find the t value of will make the triangles similar by the similarity theorem.

For example, we are told that the 2 triangles are similar by SSS theorem.

Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem

Therefore, in the triangles ,applying the SSS postulate gives;

=> x/35 = 44/20

Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;

=> x = (44 * 35)/20

When we simplify this one then we get,

=> x = 77

Therefore, the value of x is 77.

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Answer:

I think is false

Step-by-step explanation:

The domain and range are the same identity function

are both set with real numbers

True the range is considered into the input of the function

Answer:

The total number of cookies they baked altogether is 216 cookies

Step-by-step explanation:

Here, we want to know the number of cookies that they baked together

From the question, we are told that Clementine baked 72 cookies while Jake baked twice as much

what this mean is that the number of cookies baked by Jake will be (2 * 72) = 144 cookies

Thus, the total number of cookies baked by the two of them will be;

72 + 144 = 216 cookies

Answer:

C. 300

We need to find the temperature that most resembles with the model

We can easily see the graph if we plot it using a calculator

f(t) = 349.2(0.98)^t

Case a.  0

Zero is only achievable as the cooling time goes to infinity. This is not the case.

Case b.  100

for f = 100,

t ≈ 61.6,

which is out of the values of the table

Not the correct option

Case c.  300

for  f = 300,

t ≈ 7.5,

which is in range with the values of the table

Answer:

CCCCCC

Step-by-step explanation:

The correct pair of constraints that needs to be added to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units is: P24 - P25 <= 80; P25-P24 <= 80. Therefore, the correct option is 5.

Here, the given information is Pij = the production of product i in period j. We need to find the pair of constraints that will specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Thus, let the production of product 2 in period 4 and in period 5 be represented as P24 and P25 respectively.

Therefore, we can write the following inequalities:

P24 - P25 <= 80

This is because the production of product 2 in period 5 can be at most 80 units less than that of period 4. This inequality represents the difference being less than or equal to 80 units.

P25-P24 <= 80

This is because the production of product 2 in period 5 can be at most 80 units more than that of period 4. This inequality represents the difference being less than or equal to 80 units.

Therefore, we need to add the pair of constraints P24 - P25 <= 80 and P25-P24 <= 80 to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Hence, option 5 is the correct answer.

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The probability that more than 20% of the sample are from poverty households is approximately 0.8365.

What is the probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

We can use the normal approximation to the binomial distribution to solve this problem, given that the sample size is relatively large (n=300) and the probability of success (p=0.22) is not too close to 0 or 1.

Let X be the number of children in the sample who live in poverty households. Then X follows a binomial distribution with parameters n=300 and p=0.22.

The mean of X is given by μ = np = 300 x 0.22 = 66, and the standard deviation is σ = sqrt(np(1-p)) = sqrt(300 x 0.22 x 0.78) ≈ 6.23.

We want to find the probability that more than 20% of the sample are from poverty households, which is equivalent to finding P(X > 0.2n) = P(X > 60).

To use the normal approximation, we can standardize X as follows:

Z = (X - μ) / σ

Then, we have:

P(X > 60) = P(Z > (60 - 66) / 6.23) ≈ P(Z > -0.96)

Using a standard normal table or calculator, we can find that the probability of Z being greater than -0.96 is approximately 0.8365.

Therefore, the probability that more than 20% of the sample are from poverty households is approximately 0.8365.

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Recall that for a, b, and c to be the lengths of a triangle they must satisfy the following inequalities:

Therefore, if we call the other side x, it must satisfy that:

Solving each inequality for x, we get:

Therefore, x must be greater than 3 inches but less than 15 inches.

Answer: The possible lengths of the third side must be greater than 3 inches but less than 15 inches

9514 1404 393

Answer:

  C.  (x^2-1)^2 + (2x)^2 = (x^2 +1)^2

Step-by-step explanation:

Inexplicably, three of the four answer choices have minus signs in them. Those are all incorrect. The appropriate choice is ...

  C. (x^2-1)^2 + (2x)^2 = (x^2 +1)^2

__

Expanded, this is ...

  x^4 -2x^2 +1 +4x^2 = x^4 +2x^2 +1 . . . . the desired identity

Answer:

C.  (x^2-1)^2 + (2x)^2 = (x^2 +1)^2

Step-by-step explanation:

Answer:

24 \(cm^{2}\)

Step-by-step explanation:

a = \(\frac{bh}{2}\)

We have the base, we need the height.  Use the Pythagorean Theorem

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

\(6^{2}\) + \(b^{2}\) = \(10^{2}\)

36 + \(b^{2}\) = 100  Subtract 36 from both sides

\(b^{2}\) = 64

\(\sqrt{b^{2} }\) = \(\sqrt{64}\)

b = 8

a = \(\frac{bh}{2}\)

a =\(\frac{6x8}{2}\) =\(\frac{48}{2}\) = 24

Answer: 164.30

Step-by-step explanation:

The distance between the 1st and the 3rd poles is 140 meters.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

ESB poles are placed along a road 70 meters apart.

So the distance between two poles is 70 meters.

So the distance between 1 and 3rd will be = 2*70 =140metets

Hence, the distance between the 1st and the 3rd poles is 140 meters.

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Complete Question:
Esb poles are placed along a road 70 metres apart. What is the distance between the 1st and the 3rd poles?

Answer:

the meadian is 8

Step-by-step explanation:

The value of the middle-most observation is called the median of the data.

Answer:

28x^11000

Step-by-step explanation:

4x103(7x104)

Simplifies to:

28x11000

The proportion of defective circulators can be calculated by weighting the defect rates of each company by their respective proportions in the contractor's inventory. Thus, the proportion of defective circulators can be expected to be 0.0065 (0.60*0.005 + 0.40*0.010).Plugging in these values, we get P(B|A) = (0.005*0.60)/0.0065 = 0.046, or approximately 4.6%.

To calculate the probability that a defective circulator came from the first company, we can use Bayes' theorem.

Let A denote the event that a circulator is defective, and let B denote the event that the circulator came from the first company.

We want to find P(B|A), the probability that the circulator came from the first company given that it is defective.

This can be calculated using the formula P(B|A) = P(A|B)*P(B)/P(A), where P(A|B) is the probability of a defective circulator given that it came from the first company (0.005),

P(B) is the probability that a circulator came from the first company (0.60), and P(A) is the overall probability of a defective circulator (0.0065).

Plugging in these values, we get P(B|A) = (0.005*0.60)/0.0065 = 0.046, or approximately 4.6%.

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I think the answers are 2/3 and 1/3

The vectors =−6 3 and = 6 6 are not orthogonal because they have different magnitude.

Orthogonal vectors are two vectors that are perpendicular to each other, meaning they form a 90-degree angle.

As we all know that when two vectors have the same magnitude and are orthogonal, they are said to be orthonormal.

To find all numbers and for which the vectors =−6 3 and = 6 6 are orthogonal and have the same magnitude, we first need to find the magnitude of each vector.

For the first vector, =−6 3,

the magnitude is

=> √(−6)² + (3)²

=>  √(36 + 9) = √45

=> 3√5.

For the second vector, = 6 6,

the magnitude is

=> √(6)² + (6)² = √(36 + 36)

=> √72 = 6√2.

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