The figure below is a net for a right rectangular prism.
7 m
8 m
7 m
14 m
7 m
7 m
What is the surface area of the right rectangular prism, in
square meters?

The police should be concerned with only one crime scene, which is the location of the abduction.

The police should be immediately concerned with one crime scene, which is the location where the 12 year old girl was abducted from. A crime scene is a location where a crime has occurred or was suspected of having occurred. Investigators and law enforcement officials will gather and analyze physical evidence found at the scene of a crime to help determine what occurred, who was involved, and whether or not a crime has been committed. In this case, the location where the 12 year old girl was abducted from is the crime scene.

The police have done the investigation and identified the van used in the abduction, which was registered to Roger P. Anderson of 1594 Maple Drive. However, the location of the registered owner of the van is not considered a crime scene until evidence that links them to the crime scene is found. Thus, the police should be concerned with only one crime scene, which is the location of the abduction.

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The equation of the line passing through the origin with a slope of 5/9 is y = (5/9)x.

Explanation: The point-slope form of a linear equation is given by y - y₁ = m(x - x₁), where (x₁, y₁) represents a point on the line, and m is the slope. In this case, the line passes through the origin, which is the point (0, 0). Substituting these values into the point-slope form, we have y - 0 = (5/9)(x - 0), which simplifies to y = (5/9)x.

The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope and b represents the y-intercept. Since the line passes through the origin, the y-intercept is 0. Therefore, the equation in slope-intercept form becomes y = (5/9)x + 0, which simplifies to y = (5/9)x.

Both the point-slope form and the slope-intercept form provide different representations of the same line. The point-slope form emphasizes a specific point on the line (in this case, the origin) and the slope, while the slope-intercept form highlights the slope and the y-intercept.

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Answer: 40 comedy 80 action 10 horror

Step-by-step explanation:

Answer:

√0=0 is your answer look it once

Answer:

the sqrt of zero is equal to zero

The mathematicians credited with developing the mathematical models that predict population growth in each of two competing species are Rosenzweig and MacArthur(OPTION A).

These two scientists developed a theory known as the "competitive exclusion principle," which states that two species competing for the same resources cannot coexist indefinitely. Instead, one species will eventually outcompete and displace the other species.
Rosenzweig and MacArthur's model is based on the Lotka-Volterra equations, which are a set of differential equations that describe the dynamics of predator-prey relationships. They extended this model to include two competing species and developed the concept of the "ecological niche" – the specific set of environmental conditions under which a species can survive and reproduce.
Their model predicts that the two species will reach a stable equilibrium, where their populations remain relatively constant over time. However, the exact outcome of the competition depends on several factors, including the initial population sizes of the two species, the relative strengths of their ecological niches, and the availability of resources.
Overall, Rosenzweig and MacArthur's mathematical model has been influential in the field of ecology, providing a framework for understanding how competing species interact and how ecosystems evolve over time.

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Mary's HLV is $2,215,773.95.

Mary's HLV if she works until 70 is $1,611,008.23.

Mary's COE if she works until 75 is $5,130,372.40.

Mary's COE if she works until 70 is $2,985,308.60.

To calculate the Human Life Value insurance (HLV) of Mary, we need to determine the present value of her future income stream.

Annual after-tax earnings = $55,000 x (1 - 0.15) = $46,750

Total after-tax earnings over working life = $46,750 x (1 + 0.03)^(75-35) = $3,382,820.33

Total personal consumption = 27% x $3,382,820.33 = $914,073.89

Calculate Mary's HLV:

= $3,382,820.33 - (1 + 0.05)^(-1) x $914,073.89

= $2,215,773.95

Therefore, Mary's HLV is $2,215,773.95.

If Mary works until 70 total after-tax  = $46,750 x (1 + 0.03)^(70-35) = $2,124,182.09

Mary's HLV if she works until 70 is $1,611,008.23.

To calculate the Capitalization of Earnings (COE) method. Here's how we can calculate it:

Calculate Mary's expected earnings in her final year of work:

Expected earnings in final year = $55,000 x (1 + 0.03)^(75-35) = $256,518.62

Apply a capitalization rate to the expected earnings:

COE = expected earnings in final year / capitalization rate

= $256,518.62 / 0.05

= $5,130,372.40

Therefore, Mary's COE if she works until 75 is $5,130,372.40.

If Mary works until 70, her expected earnings in her final year of work would be:

Expected earnings in final year = $55,000 x (1 + 0.03)^(70-35) = $149,265.43

Mary's COE if she works until 70 is $2,985,308.60.

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The solution for this system of equation is  x=-4, y=2 and  x=-4, y=2.

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

We are given that;

y=x/4 +3,  y=2x+10

To graph the system of equations y=x/4+3 and y=2x+10, we can plot the two lines on the same coordinate plane and look for their intersection point. This intersection point will be the solution of the system of equations.

To plot the lines, we can first find a few points on each line by selecting values for x and then computing the corresponding values of y. For example, we can choose x=0, 4, and -4, and then compute y for each line:

For y=x/4+3: when x=0, y=3; when x=4, y=4; when x=-4, y=2

For y=2x+10: when x=0, y=10; when x=4, y=18; when x=-4, y=2

We can now plot these points and connect them with straight lines to get the graph of the system of equations: in graph shown

Therefore, the answer of the function will be  x=-4, y=2 and  x=-4, y=2.

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Answer:

the third option :

(25 - c) / 4

Answer: He bought 20 ice cream bars and 14 popsicle

Step-by-step explanation:

To solve this I used the elimination method, you could use substitution as well

Here are our two equations

x+y=34 Because the total number of ice creams bought must be given to 34 children and no more

2x+5y=128 because that is the cost for each ice cream and the amount he spent

For the elimination method we have to cancel out one of the variables, I decided to cancel out the x, so I multiplied the top equation by -2. So i got -2x-2y=-68

2x+5y=128 Then we get

3y=60 so

y=20

Now we can go back to the first equation and plug in y.

x+20=34

  -20  -20

x=14

So he bought 14 popsicles and 20 ice cream bars.

Answer:

7.40

Step-by-step explanation:

51.8 divided by 7 is 7.4

Answer:

2.08 or 2

Step-by-step explanation:

26 = 12.5x

y=mx+b

it will approximately take  2 hours, but to be exact, 2.08

Answer:

variablle

Step-by-step explanation:

Answer:

Fixed costs often include rent, buildings, machinery, etc. Variable costs are costs that vary with output. ... Variable costs may include wages, utilities, materials used in production, etc. In accounting they also often refer to mixed costs.

Step-by-step explanation:

The due process rights found in the 6th Amendment are: the right to be assisted by counsel, the right to a speedy and public trial, and the right to confront and cross-examine witnesses. Option A, B, C are correct.

The right to assistance of counsel - this means that a defendant has the right to be represented by an attorney, who can help them prepare their defense, cross-examine witnesses, and navigate the complexities of the criminal justice system.

The right to a speedy and public trial - this means that a defendant has the right to a trial that is conducted promptly and is open to the public, so that justice can be done fairly and transparently.

The right to confront witnesses - this means that a defendant has the right to cross-examine witnesses who testify against them in court, in order to test their credibility and the accuracy of their testimony.

Option D is a due process right found in the 5th Amendment, while option E is a right found in the 4th Amendment.

Hence, A. B. C. the right to be assisted by counsel, right to a speedy and public trial, right to confront and cross-examine witnesses is the correct option.

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Answer:

\(\boxed{(x+10)(2x+5)}\)

Step-by-step explanation:

=> \(2x^2+25x+50\)

Using mid-term break formula

=> \(2x^2+20x+5x+50\)

=> 2x(x+10)+5(x+10)

Taking (x+10) common

=> (x+10)(2x+5)

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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Answer:

Perimetro = 4 cm + 7 cm + 12 cm

                = 23 cm

Step-by-step explanation:

Answer:

The answer is 4√3

The measure of the longer side is equal to 4√3

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a² + b² = c².

Given here breadth = 4 and diagonal = 8 and we know that rectangle has all four right angles

Thus, using the Pythagoras theorem we get

length = \(\sqrt{8^{2}-4^{2} }\)

          = \(\sqrt{64-16}\)

          = \(\sqrt{48}\)

          =4 \(\sqrt{3}\)

Hence the length of the longer side is  4√3

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Answer:

Which ever graph equals y=9x

or has one line going through the 0 and where the two lines intersect just to the left of the (0,-4) mark

Step-by-step explanation:

I dont see any photo so this is all i can do. Hope it works

A bell curve is a symmetrical curve that's the most common representation of a normal distribution. The horizontal axis is the data's scale and the vertical axis is the frequency, proportion, or percentage of the data within each interval. The curve's highest point is its mean, and its width is influenced by the standard deviation. The data points for each standard deviation can be plotted on the horizontal axis. To plot a bell curve for the SAT critical reading data with markings on the horizontal axis for ±1 standard deviation, ±2 standard deviations, and ±3 standard deviations, the following steps can be taken:

Step 1: The mean SAT mathematics score is 516, and the standard deviation is 116. Half of the data will be above 516, and half will be below it.

Step 2: Begin by drawing a horizontal line. Mark 516 in the middle of the line.

Step 3: Draw a vertical line from the midpoint of the horizontal line, which will represent the mean.

Step 4: Marking one standard deviation from the mean on either side, calculate how much one standard deviation is from the mean by multiplying the standard deviation by 1, then subtracting and adding it to the mean (516 + 116 = 632, and 516 - 116 = 400). Mark 632 on the right and 400 on the left.

Step 5: Similarly, for two standard deviations, multiply the standard deviation by 2 and subtract and add it to the mean, then mark these values on either side of the mean. Mark 748 on the right and 284 on the left.

Step 6: For three standard deviations, multiply the standard deviation by 3 and subtract and add it to the mean, then mark these values on either side of the mean. Mark 864 on the right and 148 on the left.

Step 7: Connect the dots to create the curve, and label the horizontal axis with the markings for the standard deviations.

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For z varies jointly with x and y. When x=5 and y=4, z=12.

a. Equation that models the relationship is z=(3/5)xy.

b. When x=15 and y=2 then z=18.

As given,

a. Equation that models relationship z varies jointly with x and y is:

z is directly proportional to product of x and y

⇒z∝ xy

⇒z=k xy

where k is symbol of proportionality.

When x=5 and y=4, z=12

12=k(5× 4)

⇒k=12/(5× 4)

⇒k=3 /5

Hence, z=(3/5)xy

b. When x=15 and y=2

z=(3/5)×15×2

 =18

Therefore, for z varies jointly with x and y, when x=5 and y=4, z=12.

a. Equation that models relationship is z=(3/5)xy.

b. When x=15 and y=2 then z=18.

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Answer:

y = 33.94 mm

x = 19.80 mm

Step-by-step explanation:

Because AC = CB, then ∠ABC = 45°

cos ∠ABC = 24/y

cos 45° = 0.7071 = 24/y

y = 33.94 mm

EF/BC = x/y

14/24 = x/33.94

24x = 475.16

x = 19.80 mm

Hello!

Let's consider the situation at hand

 --> each shirt: $19.99

Therefore, if I bought 's' amount of shirts

 --> \(\text{Total cost}=19.99*s\\\\\text{Total Coast is 'P'}\\\\P=19.99s\)

Answer: P = 19.99s

Answer: x^2+2x+1

Step-by-step explanation:

If you're talking about 6-digit numbers in base 10 (so there digits are one of the numbers 0-9), such a number can be made up of either

• two 1s and four 0s, or

• one 2 and five 0s

and the leading digit must be non-zero.

If such a number starts with 1, then there are 5 slots which can contain the other 1. So there are 5 numbers in this group.

If such a number starts with 2, the rest are 0s. So there is 1 number in this group.

Then there are only 6 numbers with 6 digits whose digital sum is 2.

110000

101000

100100

100010

100001

200000

Answer:

9, 15, 21, 27

Step-by-step explanation:

Given n=6n+3

When n=1, t= 6(1)+3 =9

When n=2, t=6(2)+3=15

When n=3, t=6(3)+3=21

When n=4, t=6(4)+3=27

SHORT TRICK :

Whenever the value of 'n' is given in the form of an algebraic expression the common difference of the Arithmetic Progrsiion (A.P) is the coefficient of 'n' in the given expression.

Ex: In this Problem,

Given that n=6n+3

The coeeficient of 'n' is '6'

If you obsereve the answer you will also see that the Common difference is also '6'

A number sequence can either be arithmetic or geometric or neither.

The first 4 terms are 9, 15, 21 and 28

Given

\(T_n = 6n + 3\)

First term

This means that n = 1.

So, we have:

\(T_1 = 6 \times 1 + 3\)

\(T_1 = 6 + 3\)

\(T_1 = 9\)

Second term

This means that n = 2.

So, we have:

\(T_2 = 6 \times 2 + 3\)

\(T_2 =12 + 3\)

\(T_2 =15\)

Third term

This means that n = 3.

So, we have:

\(T_3 = 6 \times 3 + 3\)

\(T_3 = 18 + 3\)

\(T_3 = 21\)

Fourth term

This means that n = 4.

So, we have:

\(T_4 = 6 \times 4 + 3\)

\(T_4 = 24 + 3\)

\(T_4 = 27\)

Hence, the first 4 terms are 9, 15, 21 and 28

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The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

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Answer:  25 ways.

Step-by-step explanation:

first we have  1,2,6. this can appear once.

4, can appear in twice.

\(= (3+2) * 5\\= 5*5\\= 25ways\)

by not including itself, an appearing on the left side. one number can be written 25ways

Answer:

3x + 2x

Step-by-step explanation:

Pretty sure its the first one because its the only thing that could come next.

A) we would send Order A to Factory 3.

B) we would send both Order B and Order C to Factory 3.

B 7,000 Factory 3

C 30,000 Factory 3

Total number of units produced for the company today: 37,000

Average cost per unit for all production today: $9.00

To make decisions about which factory to send the orders to on Monday and Tuesday, we need to compare the costs per unit for each factory and consider the total number of units to be produced. Let's go through each day's scenario and make the production decisions.

a) Monday: Order A for 15,000 units

To decide which factory to send the order to, we compare the costs per unit for each factory. We select the factory with the lowest cost per unit to minimize the average cost per unit for the company.

Let's assume the costs per unit for each factory are as follows:

Factory 1: $10 per unit

Factory 2: $12 per unit

Factory 3: $9 per unit

To calculate the total cost for each factory, we multiply the cost per unit by the number of units:

Factory 1: $10 * 15,000 = $150,000

Factory 2: $12 * 15,000 = $180,000

Factory 3: $9 * 15,000 = $135,000

Based on the calculations, Factory 3 has the lowest total cost for producing 15,000 units, with a total cost of $135,000. Therefore, we would send Order A to Factory 3.

b) Tuesday: Order B for 7,000 units and Order C for 30,000 units

We have two options: sending each order to a separate factory or sending both orders to the same factory. We need to compare the average cost per unit for each option and select the one that results in the lowest average cost per unit.

Let's assume the costs per unit for each factory remain the same as in the previous example. We will calculate the average cost per unit for each option:

Option 1: Sending orders to separate factories

For Order B (7,000 units):

Average cost per unit = ($10 * 7,000) / 7,000 = $10

For Order C (30,000 units):

Average cost per unit = ($9 * 30,000) / 30,000 = $9

Total number of units produced for the company today = 7,000 + 30,000 = 37,000

Average cost per unit for all production today = ($10 * 7,000 + $9 * 30,000) / 37,000 = $9.43 (rounded to two decimal places)

Option 2: Sending both orders to the same factory (Factory 3)

For Orders B and C (37,000 units):

Average cost per unit = ($9 * 37,000) / 37,000 = $9

Comparing the two options, we see that both options have the same average cost per unit of $9. However, sending both orders to Factory 3 simplifies the production process by consolidating the orders in one factory. Therefore, we would send both Order B and Order C to Factory 3.

Production Report for Tuesday:

Order # of Units Factory

B   7,000      Factory 3

C  30,000    Factory 3

Total number of units produced for the company today: 37,000

Average cost per unit for all production today: $9.00

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