the primary function of jails is to: group of answer choices a. hold persons for less than 1 year. b. hold persons for more than 1 year. c. hold persons for more than 5 years. d. hold persons for more than 10 years.

Answer: Let's set up an equation to solve for the time it takes for you to catch up:

Distance traveled by you = Distance traveled by your friend

Let t be the time in hours it takes for you to catch up.

For you: Distance = Rate * Time

Distance = 65t

For your friend: Distance = Rate * Time

Distance = 51t + 35 (taking into account the 35-mile head start)

Setting up the equation:

65t = 51t + 35

Simplifying the equation:

65t - 51t = 35

14t = 35

t = 35 / 14

t ≈ 2.5 hours

Therefore, you will catch up with your friend approximately 2.5 hours after starting your journey.

Step-by-step explanation:

Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.

The context clues show that a historical circumstance that led to United States expansion overseas in the 1890s is economic dominance.

It should be noted that context clues are the hints that are given in a literary work to help readers understand a story.

In this case, the context clues show that a historical circumstance that led to United States expansion overseas in the 1890s is economic dominance. This was achieved through commercial penetration.

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The angle at D which is m∠ADB is calculated to be  180 - ( α + β ) / 2

Given data

< A = α

∠ B = β

Angle bisectors divides the given angle into two and form a triangle which is ∆ADB

The angles that form ∆ADB are as follows

< A =  α / 2

∠ B = β / 2

to find < D we use sum of angles in a triangle which is 180 degrees and solve as follows

< A + < B + < D = 180 degrees

where < D = m∠ADB, substituting the other values gives

α / 2 + β / 2 +  < D  = 180

( α + β ) / 2  +  < D  = 180

< D  = 180 - ( α + β ) / 2

Since < D = m∠ADB .We can therefore say that m∠ADB =  180 - ( α + β ) / 2

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Answer:

Step-by-step explanation:

The x-coordinate of the point that divides the line segment will be -2. Then the correct option is B.

Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divides the line segment in the ratio of m:n. Then we have

x = (mx₂ + nx₁) / (m + n)

y = (my₂ + ny₁) / (m + n)

The two endpoints are (-6, -2) and (8, -9). And m: n = 2: 5. Then the value of the x-coordinate is calculated as,

x = (2 · 8 + 5 · -6) / (2 + 5)

x = (16 - 30) / (7)

x = - 14 / 7

x = - 2

The x-coordinate of the point that divides the line segment will be -2. Then the correct option is B.

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For x > -3 the graph of the function shown in the graph is increasing.

Given that,
A graph of the function is shown we have to determine for what domain the function shows the increasing nature.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Since the graph shown is a function of a parabola,
As we can so after x = -3 the graph starts increasing from y = -7 to infinity.
So the function is increasing for x > -3.

Thus, for x > -3 the graph of the function shown in the graph is increasing.

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$3.879-$3.529=$0.35

hope this helps, ily!!! byesies have a nice day yar

Answer:

8/-7

Step-by-step explanation:

using the equation: y₂-y₁/x₂-x₁

10-2/0-7 = 8/-7

Answer:

1,Area = πr² Circumference = 2 πr So first we solve for r from area: 25 π = πr² 25 = r² r = 5 So we know that radius is 5 cm. Now substitute r to 5 in circumference formula: C = 2π(5) = 10π

2.126 cm2

3. Tank a

Step-by-step explanation:

The equation of the hyperbola for the cross section of the cooling tower is x²/8100 - y²/9506.25 = 1.

We must take into account its characteristics in order to formulate the hyperbola's equation for the cooling tower's cross section.

Since the origin serves as the hyperbola's centre, its coordinates are (0, 0).

The left/right opening of the hyperbola indicates that the primary axis is horizontal.

The cooling tower's smallest diameter is 180 metres, which is the same length as the minor axis.

The primary axis' 195 m length and the diameter at its highest point are matched.

The hyperbola's highest point is 80 metres above the centre.

These characteristics allow us to write the hyperbola's equation in standard form:

(x - h)²/a² - (y - k)²/b² = 1

Where (h, k) represents the center of the hyperbola.

Substituting the given values:

Center: (h, k) = (0, 0)

Minor axis: 2a = 180 m, so a = 90 m

Major axis: 2b = 195 m, so b = 97.5 m

Vertical shift: c = 80 m

Now we can write the equation of the hyperbola:

x²/90² - y²/97.5² = 1

Simplifying, we have:

x²/8100 - y²/9506.25 = 1

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Answer:

Hey buddy, here is your answer. Hope it helps you.

Step-by-step explanation:

As angle CAB is a linear pair and is 109 degrees. We need to simply subtract it by 180. So 180-109=71. So angle CAE is 71 degrees.

The answer to this question is not as simple as a yes or no.

To determine if the medical care system is more efficient today than in the past, we must look at the effectiveness of the system in terms of both quality and cost. In terms of quality, today's medical care has certainly improved. Healthcare professionals are more extensively trained, technology has advanced, and medical practices are more evidence-based. In terms of cost, however, it is difficult to measure efficiency. While advancements in technology and research may have improved the quality of care, they have also driven up the cost of medical care. The cost of medical care has been increasing faster than inflation and wages. It is difficult to determine if the medical care system is more efficient today than in the past without taking into account both quality and cost.

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9 m, 23 m, and 23 m are the triangle's measurements.

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Answer:

Step-by-step explanation:

Sarah's final position would be negative. Therefore, option B is the correct answer.

Given that, Sarah starts at a positive position along the x-axis. She then undergoes a negative displacement.

A negative displacement means that Sarah has moved backward along the x-axis, so her final position would be negative.

Therefore, option B is the correct answer.

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Answer:

A. 4.44years

B. 1.5years

C. Yes

Step-by-step explanation:

a. Calculation to determine how many years will it take Dave and Ellen to earn back in discounts the cost of the dead-bolts

First step is to determine the Annual discount for dead-bolts using this formula

Annual discount for dead-bolts=Discount percent × Annual premium

Let plug in the formula

Annual discount for dead-bolts=0.05 × $450

Annual discount for dead-bolts=$22.50

Now let determine the Recovery period using this formula

Recovery period=Cost of dead-bolts / Annual discount for dead-bolts

Let plug in the formula

Recovery period= (2 × $50)/ $22.50

Recovery period=$100/$22.50

Recovery period= 4.44years

Therefore Assuming their insurance rates remain the same, how many years will it take Dave and Ellen to earn back in discounts the cost of the dead-bolts will be 4.44years

b. Calculation to determine How many years will it take Dave and Ellen to earn back in discounts the cost of the smoke detectors

First step is to calculate the Annual discount for smoke alarms using this formula

Annual discount for smoke alarms=Discount percent × Annual premium

Let plug in the formula

Annual discount for smoke alarms=0.02 × $450

Annual discount for smoke alarms=$9.00

Now let determine the Recovery period using this formula

Recovery period=Cost of smoke alarms / Annual discount for smoke alarms

Let plug in the formula

Recovery period=(2 × $7) / $9.00

Recovery period=$14/$9.00

Recovery period= 1.5 years

Therefore How many years will it take Dave and Ellen to earn back in discounts the cost of the smoke detectors will be 1.5years

C. YES, Based on the information I WOULD recommend Dave and Ellen to invest in the SAFETY ITEMS, if they plan to stay in that house for about 5 years reason been that a home that is equipped with HOME SAFETY ITEMS can help to prevent UNFORESEEABLE ACCIDENTS that may occur, which is why SAFETY ITEMS is vital for every home regardless of the recovery period.

Answer:

Step-by-step explanation:

So whats the questio?

Answer:none

Step-by-step explanation

:noenten di la pregunta

Answer:

200 times

Step-by-step explanation:

6 * 10^-6= 0.000006

3*10^-8= 0.00000003

0.000006/0.00000003= 200

We have two right-angled triangles that share a common side, with side lengths 6 and 10. Let's label the sides of the triangles as follows:

Triangle 1:

Side adjacent to the right angle: 6 (let's call it 'a')

Side opposite to the right angle: x (let's call it 'b')

Triangle 2:

Side adjacent to the right angle: x (let's call it 'c')

Side opposite to the right angle: 10 (let's call it 'd')

Using the Pythagorean theorem, we can write the following equations for each triangle:

Triangle 1:\(a^2 + b^2 = 6^2\)

Triangle 2: \(c^2 + d^2 = 10^2\)

Since the triangles share a common side, we know that b = c. Therefore, we can rewrite the equations as:

\(a^2 + b^2 = 6^2\\b^2 + d^2 = 10^2\)

Substituting b = c, we get:

\(a^2 + c^2 = 6^2\\c^2 + d^2 = 10^2\)

Now, let's add these two equations together:

\(a^2 + c^2 + c^2 + d^2 = 6^2 + 10^2\\a^2 + 2c^2 + d^2 = 36 + 100\\a^2 + 2c^2 + d^2 = 136\)

Since a^2 + 2c^2 + d^2 is equal to 136, we can conclude that x (b or c) is between 11 and 12

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The sum of first 10 terms is 72.

Concept: Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.

Arithmetic Progression Formula

= an - a. nth term of an AP: an = a + (n - 1)d. Sum of n terms of an AP: Sn = n/2(2a+(n-1)d) = n/2(a + l), where l is the last term of the arithmetic progression.

Given:

Eighth term is 8.2

Common difference is 0.4

a(8) = 8.2

a + 7d = 8.2

Since d = 0.4

a + 7(0.4) =8.2

a = 5.4

Sum of 10 terms = n/2 (2a+(n-1)d)

= 5(2*5.4 + 9*0.4)

=5(10.8 +3.6)

Sum=72

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The clοsest οptiοn tο the actual area οf the οbject is D. 64 square inches.

Area is a measure οf the amοunt οf space inside a twο-dimensiοnal shape, such as a square, rectangle, triangle, circle, οr any οther shape that has a length and a width. It is usually measured in square units, such as square inches, square feet, οr square meters.

Tο find the area οf the οbject, we need tο break it dοwn intο smaller shapes and add up their areas.

First, we can see that the οbject can be divided intο a rectangle with dimensiοns 8 inches by 4 inches (UWVZ), a triangle with base 4 inches and height 6 inches (VXY), and a trapezοid with bases 6 inches and 8 inches, and height 4 inches (WXYU).

The area οf the rectangle is:

A_rectangle = length × width = 8 in × 4 in = 32 square inches

The area οf the triangle is:

A_triangle = 1÷2 × base × height = 1÷2 × 4 in × 6 in = 12 square inches

The area οf the trapezοid is:

A_trapezοid = 1÷2 × (base1 + base2) × height = 1÷2 × (6 in + 8 in) × 4 in = 28 square inches

Therefοre, the tοtal area οf the οbject is:

A_οbject = A_rectangle + A_triangle + A_trapezοid

= 32 square inches + 12 square inches + 28 square inches

= 72 square inches

Therefοre, the clοsest οptiοn tο the actual area οf the οbject is D. 64 square inches.

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Answer:

\(y = -1 x + -5\)

Step-by-step explanation:

Answer:

1. x^2 + 3x - 4 =0

x^2 + 3x = 4

x + 3x = √4

4x = 2

x =2/4

x = 1/4

2. 2x^2 - 4x - 3 = 0

2x^2 - 4x = 3

2x^2 - x = 3/4

2x - x = √3/4

x = √3/4

3.x(x-2) = 4

x^2 - 2x = 4

x - 2x = √4

- x = 2

x = -2

Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

Answer:

3.6

Given:

are of triangle=4.14

height=2.3

Step-by-step explanation:

area of the triangle=1/2 × base × height

4.14 = 1/2 × base × 2.3

4.14 = 2.3/2 × base

by cross multiplying,

4.14 × 2 = 2.3 × base

8.28 = 2.3 × base

8.28/2.3 =base

To remove the decimal point, multiply with 100 in both numerator and denominator

8.28×100 / 2.3×100 = base

828/230 = base

base = 3.6

hope it helps you!

Answer:

3.6 inches.

Step-by-step explanation:

Area = 1/2 * base * height

4.14 = 1/2 * base * 2.3

1/2 * base = 4.14 / 2.3

base = 4.14 * 2 / 2.3

= 3.6.

The previous population of the city was 32,000.

Percentage is a measurement to find value of given number out of hundred.

Given that,

The current population of the city = 20,800.

Let the previous population was 100%.

Since, The population of the city decreased by 35%,

So, the current population of the city = 100 - 35 = 65%

According to given condition,

65 % = 20800

1 % = 20800 / 65

1 % = 320

100% = 320 x 100

         = 32,000

Hence, the initial population was 32,000.

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A checking account is used for daily basis transaction and a debt and is usually associated with it.Saving accounts is just used for saving money.It has a time limit then you can withdraw your money.It is not on daily basis.

A bank account that allow the user to withdraw the money ,pay bill,transfer money to other person or make a purchase anything by writing checks.Check accounts typically don't earn interest.By checking accounts we can easily deposit and withdraw money for daily transaction.

Saving accounts are intended for storing your money which you don't plan to use daily.saving accounts earns interest at your money.saving account is designed for the accumulation of money in a safe place for future use.saving accounts offer easy access to your money in any emergency.so keeping your money in a saving account means that your money is safe for your future use.

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Answer:

A)a rectangle 5 inches by 6 inches to get the results