A cell phone tower casts a shadow 150 feet long. A tree nearby that is 30 feet tall casts a shadow that is 20 feet long. How tall is the cell phone tower

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Answer:

243,100

Step-by-step explanation:

subtract 220,000 by 15% and you get 187,000 then add 30% and u get 243,100 I am positive I hope this helps :)

Answer:

11+0.48+0.23=11.71.

Step-by-step explanation:

Number of tumblers the person bought=1000

Number of glass tumblers broken=100

Remaining unbroken glass tumblers =Difference of Number of glass tumblers broken from Number of tumblers the person bought=1000-100=900

Total SP=900×80=72000

As per the equation

CP = ( SP * 100 ) / ( 100 – percentage loss )

=72000×100/100-4

=7200000/96

=750000

20 now give brainly

if that is not it its -20

Answer:

5x-14-8x=7

X= -7

Answer:

x=-7

Step-by-step explain

5x-14-8x=7

   +14      +14

5x-8x=21

-3x=21

divide -3 on both side and get -7

Answer:

90 degrees

explanation: angle 1 is a right angle

Answer:

addition

Step-by-step explanation:

We have shown that every string in S contains exactly one a.

(a) We can prove that every string in S begins with the character a by induction.

Base case: a is in S, and a begins with the character a.

Inductive step: Suppose that every string in S of length k or less begins with the character a. We want to show that every string in S of length k+1 also begins with the character a.

Let w be a string in S of length k+1. We have two cases to consider:

Case 1: w is of the form x b, where x ∈ S.

Since x ∈ S, by the inductive hypothesis, x begins with the character a. Therefore, w begins with the character a.

Case 2: w is of the form x a, where x ∈ S.

In this case, w begins with the character a by definition.

Therefore, we have shown that every string in S begins with the character a.

(b) We can prove that every string in S contains exactly one a by induction.

Base case: a is in S, and a contains exactly one a.

Inductive step: Suppose that every string in S of length k or less contains exactly one a. We want to show that every string in S of length k+1 also contains exactly one a.

Let w be a string in S of length k+1. We have two cases to consider:

Case 1: w is of the form x b, where x ∈ S.

Since x ∈ S, by the inductive hypothesis, x contains exactly one a. Therefore, w contains exactly one a.

Case 2: w is of the form b x, where x ∈ S.

In this case, w contains exactly one a if and only if x contains exactly one a. But x ∈ S, so by the inductive hypothesis, x contains exactly one a. Therefore, w contains exactly one a.

Therefore, we have shown that every string in S contains exactly one a.

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The volume of remaining solid is 7 in³.

The whole three-dimensional area occupied by a cube is its volume.

A cube is a solid 3-D object with six square faces and equal-length sides.

The cube is one of the five platonic solid shapes and is also referred to as a regular hexahedron.

The cubic units are used to represent the cube's volume.

Imagine performing each cut individually.

A box 2*2*3 is eliminated in the initial cut. Two boxes with dimensions of 2*2*0.5 are removed during the second cut, and the third cut eliminates the same number of boxes on the final two faces.

Therefore, the sum of all cuts is 12 + 4 + 4 = 20.

∴Volume of rest of cube = 3³-20

                                         = 7 in³

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In the given Markov chain, State 1 is absorbing, State 4 is periodic, State 1 is recurrent, and States 3, 4, and 5 are recurrent.

A Markov chain is a stochastic model that represents a sequence of states where the probability of transitioning from one state to another depends only on the current state. Let's analyze the given Markov chain to determine the properties of each state.

State 1: This state has a probability of 1 in the first row, indicating that it is an absorbing state. An absorbing state is one from which there is no possibility of leaving once it is reached. Therefore, statement a) is correct, and State 1 is absorbing.

State 2: There are no transitions from State 2 to any other state, which means it is an absorbing state as well. However, since it is not explicitly mentioned in the question, we cannot determine its status based on the given information.

State 3: This state has non-zero probabilities to transition to other states, indicating that it is not absorbing. Furthermore, it has a loop back to itself with a probability of 1/6, making it recurrent. Hence, statements c) and e) are incorrect, while statement f) is correct. State 3 is recurrent.

State 4: State 4 has a transition probability of 1/3 to State 3, which means there is a possibility of leaving this state. However, there are no outgoing transitions from State 4, making it an absorbing state. Moreover, since there is a loop back to itself with a probability of 2/3, it is also recurrent. Therefore, statement b) is correct, and State 4 is periodic and recurrent.

State 5: Similar to State 4, State 5 has a transition probability of 2/3 to State 3 and no outgoing transitions. Hence, State 5 is also an absorbing and recurrent state. Consequently, statement e) is correct.

To summarize, State 1 is absorbing and recurrent, State 4 is periodic and recurrent, and States 3 and 5 are recurrent.

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Around 1950, family sociologists described a standard marriage pattern at about age 20 for women and age a) 22 for men.

The standard marriage pattern today, based on the time a couple marries, is mid-to-late twenties.  Some marriages are contracted very late, with some in the forties.

Sociologists have pointed out that the current delay in marriages is caused by the higher priority placed on education and career by youths.

However, marriage patterns based on the type of arrangement include:

Traditionally, marriages have served two societal purposes:

Thus, around 1950, family sociologists described a standard marriage pattern at about age 20 for women and age  22 for men.

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Answer:

\( \dfrac{28}{81} \)

Step-by-step explanation:

\(-\dfrac{4}{9}(-\dfrac{7}{9}) =\)

\( = \dfrac{4 \times 7}{9 \times 9} \)

\( = \dfrac{28}{81} \)

The observed allele frequencies for the T102C locus are as follows: T allele frequency = 0.388 and C allele frequency = 0.612.


To calculate the observed allele frequencies, we divide the number of occurrences of each allele by the total number of alleles observed.

In this case, the T allele is observed in 108 TT genotypes and 194 TC genotypes, giving a total of 108 + 194 = 302 T alleles. Similarly, the C allele is observed in 194 TC genotypes and 48 CC genotypes, giving a total of 194 + 48 = 242 C alleles.

To calculate the T allele frequency, we divide the number of T alleles by the total number of alleles: 302 T alleles / (302 T alleles + 242 C alleles) = 0.388 (or approximately 0.39).

Similarly, the C allele frequency is calculated as: 242 C alleles / (302 T alleles + 242 C alleles) = 0.612 (or approximately 0.61).

Therefore, the observed allele frequencies for the T102C locus are T allele frequency = 0.388 and C allele frequency = 0.612.

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a. False. The statement is incorrect. If Ax = λx for some scalar λ, then x is an eigenvector of A. The equation Ax - λx = 0 is used to determine eigenvectors.

b. True. The statement is correct. If Ax - 2x = 0 for some scalar λ, then x is an eigenvector of A. The only solution to this equation is the trivial solution, which means x must be an eigenvector.

c. False. The statement is incorrect. The condition Ax - x = 0 for some scalar λ is sufficient to determine if x is an eigenvector of A. If this equation holds, x is an eigenvector associated with the eigenvalue λ.

d. True. The statement is correct. The vector x must be nonzero to be considered an eigenvector. An eigenvector is defined as a nonzero vector that satisfies the equation Ax = λx.

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Answer:

265

Step-by-step explanation:

First, find 8^3. 8^3 is equivalent to 8*8*8=64*8=512

Now you have 9+512/2

Divide 512 by 2, which is 256.

9+256=265

A vector is a mathematical term that describes a specific type of object. In particular, a vector in R4 is a four-dimensional vector that has four components, which can be thought of as coordinates in a four-dimensional space. In this question, we will make up a vector y in R4 whose entries add up to 1. We will then compute p[infinity]y, and compare our result to p[infinity]x0.

However, if y is not a uniform distribution, then the long-term distribution will depend on the specific transition matrix P. For example, if the transition matrix P has an absorbing state, meaning that once the chain enters that state it will never leave, then the long-term distribution will be concentrated on that state.

In conclusion, the initial distribution vector y of the electorate can have a significant effect on the distribution in the long term, depending on the transition matrix P. If y is uniform, then the long-term distribution will also be uniform, regardless of P. Otherwise, the long-term distribution will depend on the specific P, and may be influenced by factors such as absorbing states or stable distributions.

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15. Length of the radius is 4√11 inches.16.

16. Length of the chord is 6√51 cm.17

17.  Length of AB is 117.4 cm.

15. Given a chord is 20 inches long and is 24 inches from the center of the circle.

Let O be the center of the circle, and AB is the chord which is 20 inches long. Also, let OP be perpendicular to AB. Hence, OP is the perpendicular bisector of AB. Therefore, AO = BO = 12 inches. Hence, we have to find radius OP.

Using Pythagoras theorem, we have  \($OP=\sqrt{OA^2-AP^2}=\sqrt{12^2-10^2}=4\sqrt{11}$\) inches

Answer: Length of the radius is 4√11 inches.16. Given the diameter of a circle is 30 cm long and the distance from the chord to the center of the circle is 9 cm.

We know that the distance of the chord from the center of the circle is 9 cm and diameter is 30 cm.

The distance of the chord from the center of the circle bisects the chord i.e., PE = EF. We have to find the length of chord CD.

Now, we know that OP = 15 cm (half of diameter)and OE = 9 cm

Therefore, we have, EP = OP - OE = 6 cm

Triangle EPC is a right-angled triangle using Pythagoras theorem, we have, \($EC = \sqrt{PC^2+EP^2}=\sqrt{15^2-6^2}=3\sqrt{51}$\)

Similarly, triangle FPD is a right-angled triangle, using Pythagoras theorem, we have, \($FD = \sqrt{PD^2+PF^2}\\=\sqrt{15^2-6^2}\\\=3\sqrt{51}$\)

Therefore, we have, CD = EF = EC + FD = $3\sqrt{51}+3\sqrt{51}=6\sqrt{51}$ cm

Answer: Length of the chord is 6√51 cm.17. Given in circle O, the radius is 36 cm long and mAB = 140°.

We know that the angle subtended at the center of a circle is twice the angle subtended at the circumference of the circle.

Therefore, \($\angle AOB = 2\angle ABB=280$\)°

We know that angle in a semicircle is a right angle.

Therefore, \($\angle AOB = 90$\)°

So, 280° + 90° = 370° is the total angle in circle O

Therefore, we have 370° = \($2\pi r$\) (circumference of circle)

where r is the radius of the circle.

We know that \($\pi=\frac{22}{7}$\)

Hence, \($370=2\frac{22}{7}r$\)

Solving the above equation, we have,

\($r = \frac{370\times 7}{44}= 62.5$\) cm

So, the length of AB = 2r sin (AB/2)

= \($2\times 62.5 \sin(70)$\)

= \($2\times 62.5 \times 0.9397$\)

= 117.4 cm (approx)

Answer: Length of AB is 117.4 cm (approx).

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Answer:

  (c)  20

Step-by-step explanation:

You want to find x, given that the external angle adjacent to a base angle of an isosceles triangle is (5x +12)°, and the other base angle is marked (3x +8)°.

The base angles of an isosceles triangle are congruent, so the other base angle is congruent to the marked base angle.

The external angle and the adjacent base angle are a linear pair, hence supplementary.

  (5x +12)° +(3x +8)° = 180°

  8x +20 = 180 . . . . . . . divide by °, collect terms

  8x = 160 . . . . . . subtract 20

  x = 20 . . . . . divide by 8

The solution and answer are well written in the Pic above.

The sides that are parallel include AB and DC.

In geometry, parallel sides refer to two or more sides of a polygon or a pair of lines that never intersect and remain equidistant from each other at all points.

Parallelogram: A parallelogram is a quadrilateral with two pairs of parallel sides. Opposite sides of a parallelogram are parallel and congruent (equal in length).

Rectangle: A rectangle is a special type of parallelogram where all four angles are right angles (90 degrees). Opposite sides of a rectangle are parallel and congruent.

Rhombus: A rhombus is another type of parallelogram in which all four sides are congruent. Opposite sides of a rhombus are parallel.

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The opportunity cost of attending the dinner party would be $15, as it represents the potential earnings from the highest-paying job option among the three.

The opportunity cost refers to the value of the next best alternative that you forego when making a decision. In this scenario, if you choose to attend the dinner party instead of working, you are giving up the potential earnings from one of the job options.

The highest-paying job among the three options is the third job, which pays $15. Therefore, the opportunity cost of attending the dinner party would be $15. This means that by choosing to go to the party, you are forfeiting the opportunity to earn $15.

It is important to consider opportunity costs when making decisions, as they reflect the value of the alternatives that are being sacrificed. In this case, even though you may not have to pay for the dinner at the party, the opportunity cost is still present in terms of the potential income that could have been earned if you had chosen to work instead.

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The company's upgrade in production machinery, which allows for real-time transmission of data about the fit tolerance for assembled parts of each unit produced, represents an increase in the timeliness and efficiency of data transmission.

Prior to the upgrade, data about the fit tolerance for assembled parts was transmitted at the end of a production run.

This means that the information regarding the quality and precision of the assembled parts was collected and transmitted after the entire production process was completed.

However, with the upgrade in production machinery, the company now has the capability to transmit this data in real-time as the measures are taken during the production process.

The upgrade represents an increase in the timeliness and efficiency of data transmission.

By transmitting the data in real-time, the company can immediately identify any deviations or issues in the fit tolerance of the assembled parts.

This allows for timely interventions and adjustments to be made during the production process, reducing the likelihood of producing defective or substandard units.

Real-time data transmission also enables the company to have a more accurate and up-to-date understanding of the quality of each unit produced. This information can be used for immediate feedback, quality control purposes, and process improvements.

Overall, the upgrade in production machinery enhances the company's ability to monitor and control the fit tolerance of assembled parts, leading to improved production efficiency and product quality.

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Answer:

1586 cm³

Step-by-step explanation:

bottom big one v= wlh = 22* 13 * 5 =1430

top little one v= wlh= 6*2*13 =156

total = 1586

About two minutes long after shaking begins during the tangshan earthquake does it take the last building collapses.

At 3:42 am, an earthquake of magnitude 7.8 to 8.2 struck Tangshan, a Chinese industrial city of about one million people. The quake was particularly costly in terms of human life because most people slept in beds rather than outside the relatively safe streets. occurred along an unknown fault in the Cangdong fault system near the confluence of the The Tangshan fault is a north-northeast-trending strike-slip fault. An estimated 242,000 people died in Tangshan and surrounding areas, making the earthquake one of the deadliest in recorded history, with 300,000 killed in the Calcutta earthquake of 1737, believed dead in 1556. Shaanxi Province, where 830,000 people died of Chinese nationality. It lasted 23 seconds and destroyed 90% of Tangshan's buildings. At least 250,000 killed and 160,000 injured

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If a sample of 250 RDNS was randomly selected from a list of all RDNS in the state of California for a California policy study, then the sampling method was simple random sample

Here a sample of 250 RDNS was randomly selected from a list of all RDNS.

Sampling is defined as the selecting the individual members or the group that you will actually collect data from in your research. There are five types of sampling method. They are Random, Systematic, Convenience, Cluster, and Stratified.

In the simple random sampling the researchers select the random samples from the population. Here a sample of 250 RDNS was randomly selected from a list of all RDNS.

Therefore, the sampling method that used is simple random sample

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The required length of the hypotenuse of the triangle is √19.

To find the required length of the hypotenuse of the triangle:

Legs in the right triangle refer to the perpendicular and base.

Hypotenuse:

\(= \sqrt{perpendicular^{2}+base^{2} } \\= \sqrt{3^{2}+\sqrt{10^{2} } } \\=\sqrt{19}\)

Therefore, the required length of the hypotenuse of the triangle is √19.

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