A company manufactures a special type of sensor, and packs them in boxes of 4 for shipment. Then a new design increases the weight of each sensor by 9 grams. The new package of 4 sensors weighs 76 grams. How much did each sensor weigh originally?

Answer:

y = - 0.5x - 6

Step-by-step explanation:

4x + 8y = -48

8y = -4x - 48

y = - 0.5x - 6

The  measure of each exterior angle of a regular polygon of 12 sides is equal to 30° option D.

A polygon's exterior angles are generated by extending one of its sides and extending the other side. The sum of a polygon's outside angles equals 360 degrees. You've probably heard of the phrase polygon. A polygon is an enclosed flat shape made up of three or more line segments. The line segments are referred to as sides, and the location where two sides intersect is referred to as the polygon's vertex.

Adjacent sides are a pair of sides that meet at the same vertex. The inner angle is the angle formed by one of the vertices. For all polygons, the interior and external angles at each vertex vary.

We know that the sum of a polygon's outer angles is 360.

As a result, the exterior angle of a regular polygon with 12 sides Equals 360/ 12 = 30.

So, The  measure of each exterior angle of a regular polygon of 12 sides is equal to 30°.

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After a beta decay, the daughter nucleus of Pt-199 will be Au-199. Beta decay occurs when a neutron in the nucleus of an atom decays into a proton, releasing an electron and an antineutrino. In this case, one of the neutrons in Pt-199 undergoes beta decay, transforming into a proton and releasing an electron and an antineutrino.

This changes the atomic number of the nucleus from 78 to 79, resulting in the formation of the new element, gold (Au). However, the mass number remains the same at 199, since only the identity of the nucleus has changed and not the total number of nucleons. Therefore, the daughter nucleus of Pt-199 after a beta decay is Au-199.

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Answer:

x = 4

Step-by-step explanation:

4x-5=2x+3

subtract 2x from both sides

2x-5=3

add 5 to both sides

2x=8

divide both sides by 2

x=4

Answer:

teeheee

Step-by-step explanation:

Answer:

t e e h e e

Step-by-step explanation:

8 cameras from the list meet the conditions of camera price.

Given,

The table shows the price of cameras;

890, 750, 650, 370, 660, 670, 450, 650, 725, 825

The absolute deviation of at most = $102

We have to find the number of cameras that meets the conditions

Mean of the data set ;

Mean = sum of datas / number of datas

Mean = (890 + 750  + 650 +  370 + 660 + 670 + 450 + 650 + 725 + 825) / 10

Mean = 6640/10

Mean = 664

Mean - Absolute deviation;

664 + 102 = 764

So, You are ready to pay for a maximum of 764 for the camera.

Then the price of cameras meets the condition;

750, 650, 370, 660, 670, 450, 650, 725

That is,

8 cameras from the list meet the conditions of camera price.

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Answer:

B=28

Step-by-step explanation:

Answer:

Step-by-step explanation:

12% of 77 is 10.24 or 10.

Step-by-step explanation:

12/100 * 77

12*77=824

824/100

divide by 2

206/25

use long division method

8.24

Offering a new product to an established or new market, offering an established product to a new market, or creating a new organization is the entrepreneurial act of new entry.

A new firm, product, or service entering the market is referred to as an entrepreneurial act of new entrance. Finding a market opportunity and creating a special offering that differentiates the company from rivals already in the market are both necessary steps.

A fresh entry can take many different forms, such as the launch of an entirely new good or service that fills a need in the market, the entry into an established market using a unique strategy or business model, or the entry into a new geographic market with an already well-known good or service.

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This sequence likely belongs to a bird rather than to a dog, snake, or horse.

DNA stands for deoxyribonucleic acid and it is essential in genetics and biology because it composes genes. Moreover, DNA is expressed as a sequence of four bases:

Considering all living organisms share a common ancestor and modern species evolved from older species, a similarity in DNA shows organisms are genetically and phenotypically similar.

In the case of the penguin and the fossilized species, the DNA sequence is almost identical. Due to this, this organism should be very similar to the penguin, and therefore, the most likely organism is another bird.

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The system of equations have infinite solution.

We have to given that;

The system of equations are,

⇒ y = 1/2 x +3

⇒ 2y = x +6

Here, Equation (i);

⇒ y = 1/2 x +3

⇒ 2y = x + 6

Which is same as (ii).

Now, We can draw system of equations we can see that both line are coincide.

Hence, The system of equations have infinite solution.

Thus, The system of equations have infinite solution.

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Answer:

4

Step-by-step explanation:

the more sections there are the less of a chance the same section ould be landed on so many times. Its almost impossible to land on one of 400 25 times

Answer:

106,275,100

Step-by-step explanation:

you say if 100= 25 what about 4 25 100 400

=106,275,100

Swim practice will be no more than 35 laps is P≤35.

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Complete Question is: Write an inequality for each sentence.

1. Swim practice will be no more than 35 laps.

The shadow length is increasing at a rate of approximately 3.16m/s when Regina is 7m away from the point under the light.

A streetlight hangs 5 meters above the ground.

Regina, who is 1.5 meters tall, walks away from the point under the light at a rate of 2 meters per second.

The objective is to find the rate at which her shadow is lengthening when she is 7 meters away from the point under the light.

Let AB be the pole of the light and C be the shadow of Regina and CB be her shadow. We have,

AB = 5m and AC = 1.5m

Also, it is given that Regina is moving away from the point at a rate of 2m/s.

Now, it is required to find the rate at which CB is increasing, i.e., to find d(CB)/dt when Regina is 7m away from the pole.

From the figure, we can observe that:  AB/BC = AC/CB

By differentiating w.r.t time t on both sides, we have:

d(AB)/dt / BC + AB / d(BC)/dt = - d(AC)/dt / CB - AC / d(CB)/dt

Now, we substitute the given values into the above equation, we get:

d(AB)/dt = 0, AB = 5m

BC = 7m

AC = 1.5m

d(AC)/dt = -2m/s

Substituting these values, we get;

0/7 + 5 / d(BC)/dt = -(-2) / CB - 1.5 / d(CB)/dt

On solving, we get;

d(CB)/dt = 60 / 19 ≈ 3.16m/s

Therefore, the shadow length is increasing at a rate of approximately 3.16m/s when Regina is 7m away from the point under the light.

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There is a 50% chance that the person selected is female.

Let's assume that there are 50 students in the class and of them, 25 are female and 25 are male.

The probability that the person selected is female will be calculated by the formula P(Female) = 25/50 = 0.5

Therefore, the probability that the person selected is female is 0.5 or 50%. This means that if a person is randomly selected from the front, middle portion of the class, there is a 50% chance that the person selected is female.

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Complete question:

What is the gender ratio of the people in the class?

The range between a drug's effective dose and its toxic dose is called the theurapeutic index.

The therapeutic index, often known as the therapeutic ratio, is a numerical evaluation of a drug's relative safety. The amount of a therapeutic agent that has a therapeutic impact is compared to the amount that has a harmful effect.

A range of doses calibrated between efficacy and toxicity, achieving the maximum therapeutic benefit without producing intolerable side-effects or toxicity, is referred to as the therapeutic window or safety window.

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The scale factor of the dilation of the triangles is 2

From the question, we have the following parameters that can be used in our computation:

The similar triangles

The scale factor of the dilation is the division of the corresponding sides

So, we have

Scale factor = 6/3

When evaluated, we have

scale factor = 2

Hence the scale factor is 2

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A. Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.

B. The recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.

(a) If Manager B always truthfully reports the state of the economy (s = 0.7), Manager A would send a recommendation that minimizes their disutility Ua. In this case, Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.

(b) In a Nash equilibrium, both managers strategically make their recommendations based on their own utility. Manager A wants to minimize their disutility Ua, which increases as the decision deviates from 0.4. Manager B wants to minimize their disutility UB, which increases as the decision deviates from 0.7.

To find the Nash equilibrium, we need to consider the recommendations made by both managers simultaneously. Let's denote the recommendations as rA (from Manager A) and rB (from Manager B). The principal's decision, d, would be the average of the recommendations, so d = (rA + rB) / 2.

Given that both managers strategically choose their recommendations, they will aim to minimize their disutility. In this case, Manager A would recommend a decision of 0.4 (as it minimizes Ua), and Manager B would recommend a decision of 0.7 (as it minimizes UB). Therefore, the recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.

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The maximum number of possible effects that could be tested in a 2x2x2 factorial design with 3 main effects, 3 two-way interactions, and 1 three-way interaction is 7.

In a 2 x 2 x 2 factorial design, we can test the following maximum number of possible effects:
Main effects:

There are 3 main effects in this design, one for each factor (A, B, and C). You would analyze the effect of each factor independently on the outcome variable.

Two-way interactions:

There are 3 possible two-way interactions that can be tested in this design: AxB, AxC, and BxC.

These interactions examine the combined effects of two factors on the outcome variable.
Three-way interactions:

There is 1 possible three-way interaction that can be tested in this design: AxBxC.

This interaction examines the combined effect of all three factors (A, B, and C) on the outcome variable.

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Answer:

the anwser is 45

Step-by-step explanation:

Answer:

Step-by-step explanation:

Rounded to the nearest ten = 3,870

Rounded to the nearest hundred = 3,900

Rounded to the nearest thousand = 4,000

Hope this helps! <3

Answer:

x=-5

Step-by-step explanation:

First distribute:

10x+30=5x+15+2x

Then combine like-terms:

10x+30=7x+15

Subtract 30 from both sides:

10x=7x-15

Subtract 7x from both sides:

3x=-15

divide both by 3

x=-5

The space where three suitcases are inspected for contraband should be well-equipped to enable the proper screening of suitcases to detect any contraband or illegal items.

To describe the space (s) where three suitcases are inspected for contraband, the space will have to be equipped with facilities that will enable thorough inspection of the suitcases.

This is to say that the space(s) must be equipped with screening tools, machines and other devices that will ensure proper screening of the suitcases is done to ascertain whether or not they contain contraband or other illegal items.If the suitcases are inspected and found not to contain any contraband or illegal items, then the suitcases will be returned to their owners.

On the other hand, if the suitcases are found to contain contraband or other illegal items, then they will be confiscated, and the owner may be arrested, depending on the situation.

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Answer: Mode = 12

Explanation: The mode is the most frequent value, so it is the value that shows up the most. In this case, that would be the value "12" since it shows up three times (while the other values only show up once).

Answer:

12

Step-by-step explanation:

For future reference mode means MOST. So in this data, number 12 is repeated the most. That would mean the MODE is 12.

Good Luck!!!

A plasmid used in both yeast and bacteria requires two different selection markers because the same selection may not work for both hosts and bacteria and yeast recognize different promoters.

When using a plasmid in both yeast and bacteria, it is important to have two different selection markers for several reasons. First, the same selection, such as the presence of an antibiotic, may not be effective in both hosts. Different organisms have varying sensitivities to antibiotics, so a marker that works in bacteria may not work in yeast or vice versa. Therefore, two different selection markers are needed to ensure successful selection in both hosts.

Additionally, bacteria and yeast recognize different promoters, which are DNA sequences that control the initiation of gene expression. Promoters are specific to each organism and play a crucial role in regulating gene expression. By incorporating two different selection markers into the plasmid, each marker can be driven by a promoter recognized specifically by the corresponding host. This ensures that the selection marker is effectively expressed in the appropriate host organism, enabling accurate selection and maintenance of the plasmid.

In summary, using two different selection markers in a plasmid intended for both yeast and bacteria is necessary because the same selection may not be effective in both hosts, and different promoters are recognized by bacteria and yeast. This approach allows for successful selection and maintenance of the plasmid in both organisms.

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Answer:

A) i 346.5

ii 346.5

B) I 115 tickets

ii $430

iii 4.88%

C) 129

Answer:

just a guess I would say 70cm squared.

Answer:

-9

Step-by-step explanation:

+3/4x (-12)

(double negative = positive)

-12x .75= -9

Answer:

-144

( P.S. I'm sorry I didn't write how I got the answer but I hope this answer might help you! )

Answer:

Step-by-step explanation:

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