Type the correct answer in each box. Round your answers to the nearest whole number. Solve this system of equations using the elimination method. 3x − 2y = 0 2x + y = 7 The solution to the system is ( , ).

0.0041 is closest to the rate at which the area of the forest is increasing, in square kilometers per decade.The correct answer is option D.

To determine the rate at which the area of the forest is increasing in square kilometers per decade, we need to convert acres to square kilometers and decades to years.

First, let's convert 1 square mile to square kilometers:

1 square mile = (1 mile)² = (1.60934 kilometers)² = 2.58999 square kilometers

Next, let's convert 1 acre to square kilometers:

1 acre = (1/640) square mile = (1/640) * 2.58999 square kilometers = 0.00404 square kilometers

Now, we know that the area of the forest is increasing at a rate of 1 acre per decade. So, the rate of increase in square kilometers per year is:

0.00404 square kilometers per decade ÷ 10 years = 0.000404 square kilometers per year

To find the rate in square kilometers per decade, we multiply the rate per year by 10:

0.000404 square kilometers per year × 10 = 0.00404 square kilometers per decade.

Among the given options, the closest rate is option D) 0.0041 square kilometers per decade.

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Answer: $0.61

Step-by-step explanation:

1. Find the retail price of each store by multiplying the normal price by% discount to get a discount - and then opt out.

   store A: 24.95 * 20% (or 0.20) = 4.99 (discount)

                  24.95 - 4.99 = 19.96 (sale price)

   store B: 25.80 * 25% (or 0.25) = 6.45 (discount)

                 25.80 - 6.45 = 19.35

To find the sale price difference, subtract 19.96 - 19.35 = 0.61

Answer:

20.

Step-by-step explanation:

Plugging m = 7 and n = 5 into the given expression:

Answer = 4 + (7 - 5)^4

= 4 + 2^4

= 4 + 16

= 20.

Answer:

195

Step-by-step explanation:

Let wining name have, x votes

1st = x

2nd = x - 53

3rd = x - 79

4th = x - 105

x + (x - 53) + (x - 79) + (x - 105) = 963

x + x - 53 + x - 79 + x - 105 = 963

4x - 237 = 963

4x = 963 + 237

4x = 1200

x = 1200 / 4

x = 300

4th = x - 105

x - 105 = 300 - 105 = 195

Answer:

steps below

Step-by-step explanation:

It's easier to prove from right side to left side. If you insist to prove from left to right, you can just reverse the calculation from bottom to the top.

\(cot^{2} a * cos^{2}a \\= cot^{2} a * (1-sin^{2} a)\\= cot^{2} a - cot^{2} a*sin^{2} a\\= cot^{2} a - \frac{cos^{2} a}{sin^{2}a} *sin^{2} a\\= cot^{2} a - cos^{2} a\)

The design engineer has been tasked with developing an open pit cross-section based on the following information:

a maximum face slope of 77 degrees for stability, a haul road width of 25 meters (crossing the design section only once), a bench width of 15 meters, a bench height of 10 meters (due to workspace limitations), and a pit bottom depth of 100 meters at the end of the mine life. The geotechnical group at the mine has estimated that the overall slope angle should not exceed 45 degrees at the designed section.

The design engineer needs to evaluate whether the previous design indices are viable. The given information suggests a maximum face slope of 77 degrees, which exceeds the recommended overall slope angle of 45 degrees. This indicates a potential stability issue with the design.

To address this problem, the engineer could consider the following suggestions: 1. Adjust the face slope angle: The engineer should revise the design to ensure that the face slope angle is within a safe and stable range. This may involve reducing the slope angle to meet the recommended limit of 45 degrees.

2. Evaluate slope stability: The engineer should conduct a detailed geotechnical analysis to assess the stability of the proposed design. This analysis may involve geotechnical surveys, slope stability calculations, and computer modeling to determine the appropriate slope angles and design measures required to ensure stability.

3. Implement support measures: If the revised slope angles still exceed the recommended limit, the engineer should consider implementing additional support measures to enhance stability. These measures could include reinforcement techniques such as slope stabilization, retaining walls, or geotechnical anchoring systems.

It is crucial to consult with geotechnical experts and conduct thorough engineering analyses to ensure the safety and stability of the open pit design. The engineer should also create scaled sketches and drawings to visualize the proposed design modifications and present them to the relevant stakeholders for review and approval.

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In some circumstances, it might also be essential to demonstrate congruence using various transformations.

In mathematics, transformations are modifications done to a geometric figure in a coordinate plane, such as a shape, point, or line. Applying various operations or functions on the coordinates of the points that make up the figure will result in these changes. Four fundamental types of transformations exist: Translation: A figure is moved horizontally, vertically, or both while maintaining its size, form, and orientation.

Translation, rotation, and reflection are the three fundamental transformations that can be employed to demonstrate the congruence of two figures.

To demonstrate that Figures 1 and 2 are congruent with one another, the following two transformational sequences could be used:

Figure 1 should be translated to overlap with Figure 2, then rotated.

b. Rotate Figure 1 about a point until it aligns with Figure 2's orientation.

c. Evaluate the two figures side by side to ensure that all related sides and angles match.

Rotation after reflection:

a. Create a mirror image of Figure 1 by reflecting it across a line.

b. Rotate the reflected Figure 1 about a certain point until it aligns with Figure 2's orientation.

c. Evaluate the two figures side by side to ensure that all related sides and angles match.

To ensure that the two figures are congruent, the transformations must be used in a precise order.

In some circumstances, it might also be essential to demonstrate congruence using various transformations.

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Answer:

(5,3) and (5,9)

Step-by-step explanation:

Answer:

steps below

Step-by-step explanation:

x -7√x + 10 = 0

(√x)² - 7√x + 10 = 0

(√x - 2)(√x - 5) = 0

√x - 2 = 0      or      √x - 5 = 0

√x = 2      or      √x = 5  

(√x)² = x = 4        or     (√ x)² = x = 25  ...

Answer:

x=-3

Step-by-step explanation:

Let's solve your equation step-by-step.

−7+2(−4x−3)=11

Step 1: Simplify both sides of the equation.

−7+2(−4x−3)=11

−7+(2)(−4x)+(2)(−3)=11(Distribute)

−7+−8x+−6=11

(−8x)+(−7+−6)=11(Combine Like Terms)

−8x+−13=11

−8x−13=11

Step 2: Add 13 to both sides.

−8x−13+13=11+13

−8x=24

Step 3: Divide both sides by -8.

−8x

−8

=

24

−8

x=−3

Answer:

C. 1/12

Step-by-step explanation:

The scale can be calculated by comparing side lenghts

AC is similar to FD and AB is similar to  FE and BC is similar to ED

AB = 2 and FE = 24 so AB/FE is = 2/24 that's simplified is 1/12

Answer:

1. f= 7 1/2

2. f= 9/10

3. f= -2 1/2

24 groups of participants would be needed to partially counterbalance a within-subjects experiment with three treatment conditions.

Given that;

How many groups of participants would be needed to partially counterbalance a within-subjects experiment with three treatment conditions.

Every participant in an experiment is exposed to every treatment or condition in a within-subject design, sometimes referred to as a repeated measures design.

The term "between-subjects design" is comparable to this within-subjects design. People are solely assigned to one treatment in a between-subjects design. As a result, one therapy would be given to one group of volunteers, while a different treatment would be given to another group. After that, the variations between the two groups would be contrasted.

24 groups would be required for a perfectly counterbalanced design for even four treatment conditions. This would obviously be impracticable because a large enough sample size would be required to conduct such an experiment.

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Answer:

1. 5/3

2. A

Step-by-step explanation:

Answer:

d∅/dt = √2/5 Rad/sec

Step-by-step explanation:

According to the Question,

Solution,

Let x be the Distance between the base of the wall and the bottom of the ladder.

and let ∅ be the angle between the top of the ladder and the wall.

Then, Sin∅ =x/10  so, x=sin∅ *10

Differentiating with respect to time t we get,

dx/dt = 10 * cos∅ * d∅ /dt

Now, Put these value we get

2 = 10 *(cos(π/4))* d∅/dt

2 = 10/√2 * d∅/dt

d∅/dt = √2/5 Rad/sec

Answer:

2.29

Step-by-step explanation:

2.95 plus 1.26 is 4.21, and 6.50 minus 4.21 is 2.29.

Answer : 9/16

so sorry if I’m wrong

Answer:

Your answer should be 443.82

Step-by-step explanation:

Ok, so if 6 workers were paid 6.93 an hour each and worked 9 hours each then you would do 6.93 x 9 for the number of hours and the pay for each hour, which is 62. 37. Then you would times 62.37 by 6 because you have 6 workers and the question asks for how much they made in TOTAL. 62.37 x 6 is 344.22, then you still have you overtime hours. So if each worker makes 3.32 for every overtime hour then you would do 3.32 x 5 for the number of hours. And that equals 16.60, then you would multiply that by 6 for the number of workers, 16.60 x 6 = 99.60. So in total for regual hours they made 344.22, and in total for overtime hours they made 99.60. Now you add those to to get you overall  price which is 443.82. And that should be your answer

Hope I did some good :) Have a great day!

Answer: 1st, 2nd, and 3rd

Step-by-step explanation: the last one isn't because not all of the sides are the same length

Step-by-step explanation:

no this is a test I cant hlep i will tell ms.jules you are searching for the answers

The logarithmic form is written as logₐ(X)=b. It is a rearrangement of the exponential form, aᵇ=X.

What is Logarithmic Form?

The logarithmic form is written as logₐ(X)=b. It is generally the rearrangement of the exponential form, aᵇ=X. Any exponential equation can be written as a logarithm. The logarithmic form is mostly used to calculate an exponent of an equation. The logₐ(X)=b. is read as “log base a of X equals b“.

The logarithmic form is simply a rearrangement of an equation written in exponential form. The same numbers are used but they are written in a different order. The word log is written which implies that the logarithm function is being used.

Therefore, If the logarithmic form is logₐ(X)=b. then it is a rearranged as the exponential form as aᵇ=X.

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Answer:    10. equal 0.27

                  11. 5.12

                  12. 3.35

Step-by-step explanation:

10. 0.9 * 0.3 = 0.27

11. 1.6 * 3.2 = 5.12

12. 0.5 * 6.7 = 3.35

13. 0.81*7.3 = 5.873

14. 5.6*3.9 = 21.84

15. 1.2 * 0.05 = 0.06

Answer:

x = 4

y = 10

Step-by-step explanation:

7x - 3 = 25

7x = 28

x = 4

12y + 35 = 155

12y = 120

y = 10

Hey there!

There are actually a few possible equations, but I will choose these:

FOR X:

7x - 3 = 25

7x = 28

x = 4

FOR Y:

12y + 35 = 155

12y = 120

y = 10

Hope it helps and have a great day!!

If Angle M is y then,

Step-by-step explanation:

(6y) + (3y -6) + y = 180°

10y - 6 = 180

10y = 186

y= 18.6

Angle O = 3(18.6) - 6 = 49.8

Answer 49.8

I hope this helps!!!