3. Directions
Drag and drop the correct answer choice to each answer blank.
The map shows five proposed routes and distances for a new state highway between Camden and U.S. Highway 99.
Proposed Routes for State Highway 1001
Crestview
220
sssssssssssss
Camden
What is the order of these distances from least to greatest?
Distances for Different
Proposed Routes (km)
675
16
40
√2,111
586
13
10√17

Answer:

Ans. Given, A1 = $2000 profit = A1 + (n-1)d d = $400 = -2000+(12-1)400 n = 12 = $2400

The required profit in the twelfth month is $2400.

Arithmetic progression is the series of numbers that have common differences between adjacent values

To solve this problem, we need to use the arithmetic sequence formula to find the profit of each month, then add up the profits for the first 12 months to find the profit in the twelfth month.

The first term (a₁) is -2000, the common difference (d) is 400, and we need to find the twelfth term (a₁₂).

We use the formula for the nth term of an arithmetic sequence:

an = a₁ + (n - 1)d

So, substituting the given values, we get:

a₁₂ = -2000 + (12 - 1)400

a₁₂ = -2000 + 11*400

a₁₂ = -2000 + 4400

a₁₂ = 2400

Therefore, the profit in the twelfth month is $2400.

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The correct statement is: g(x) is translated up 5 units compared to f(x).

The correct answer is A.

The correct answer is A.

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The remaining area of the flag is 383 ft²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, a rectangular flag is 24 ft long and 18 ft wide. If a triangle is cut out of the center of the flag that has a base of 7ft and a height of 14ft, we need to find the remaining area of the flag,

To find the remaining area of the flag, we will subtract the area of triangle from the area of rectangle,

Area of a rectangle = length × width

Area of a triangle = 1/2 × base × height

Therefore,

The remaining area = 24 × 18 - 1/2 × 7 × 14

= 432 - 49

= 383 ft²

Hence, the remaining area of the flag is 383 ft²

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The correct equation for the following sentence:

24 = 31.4n + (–8.4).

The correct option is C.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

A phrase:

Twenty-four is the same as 31.4 times a number plus negative 8.4.

Let the number is n.

The phrase can be expressed as,

24 = 31.4n + (–8.4).

Therefore, the expression is 24 = 31.4n + (–8.4).

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Answer:

The y intercept is (0,-22)

Step-by-step explanation:

The y intercept is the value when x =0

Y=5x-22

y = 5*0 -22

y = -22

The y intercept is (0,-22)

Answer:

^2 + 2x-15

Hope this helps

The probability that among the first two songs played, exactly 1 of the 4 songs you like is played is 0.452 or 45.2%.

Probability is a measure of the likelihood of an event occurring. It is a numerical value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

There are 4 songs that you like out of the 14 total songs, so the probability of selecting a song that you like on the first draw is 4/14.

On the second draw, the probability of selecting a song that you like is 3/13, since there are now 3 songs that you like out of the remaining 13 songs.

The probability of selecting exactly 1 of the 4 songs you like in the first two draws is given by:

P(exactly 1 like in first two draws) = (4/14) ×(10/13) + (10/14) × (4/13) = 0.452

Therefore, the probability that among the first two songs played, exactly 1 of the 4 songs you like is played is approximately 0.452 or 45.2%.

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Answer:

C

Step-by-step explanation:

Notice how C is the only function that is quadratic. If you expand (2x-1)^2, you get 4x^2-4x+1. Since x is raised to the power of two, it isn't linear, but quadratic.

Answer:

C

Step-by-step explanation:

i used photomath and C was not the linear one!

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

4(X+5) = 144   (if on side measures (x+5)  then P will be the 4 sides added

                        so adding the same value repeatedly means multiplication.

 -  Distribute:  4x + 20 = 144

-     Inverse op. to isolate the variable minus 20 from both sides

-     4x = 124

-     Divide by 4 on both sides

-      124/4 = 31

-      x = 31 units

Hi there!

\(\large\boxed{y = \pm \sqrt{x - 16}}\)

To solve for the inverse, swap the x and y variables:

x = y² + 16

Isolate for y by subtracting both sides by 16:

x - 16 = y²

Square root both sides:

√(x - 16) = y

Add the plus/minus sign:

y = ±√(x - 16)

Answer:

c

Step-by-step explanation:

In order to explain why -4 - 2 equals -8, let's start with the equation 0.2 = 0. By analyzing this equation, we can uncover the reason behind this seemingly counterintuitive result.

1. Begin with the equation 0.2 = 0.

2. Subtract 0.2 from both sides of the equation to isolate the variable: 0.2 - 0.2 = 0 - 0.2.

  This simplifies to 0 = -0.2.

3. Observe that the right side of the equation, -0.2, is a negative number.

4. Recall that subtracting a negative number is equivalent to adding its positive counterpart. Therefore, -0.2 is the same as +0.2.

5. Rewrite the equation as 0 = +0.2.

6. Notice that 0 on the left side of the equation is equal to 0 + 0, since any number added to zero remains unchanged.

7. Substitute 0 + 0 for 0 in the equation: 0 + 0 = +0.2.

8. Simplify the equation to 0 = +0.2.

9. Finally, recognize that a positive number cannot equal zero. Hence, the equation 0 = +0.2 is false.

10. As a result, the original equation 0.2 = 0 is invalid.

11. Therefore, the logical consequence is that any subsequent deductions based on this invalid equation would also be incorrect.

12. Consequently, -4 - 2 does not equal -8, as per the explanation derived from the flawed equation.

To summarize, by analyzing the equation 0.2 = 0, we can determine that subsequent deductions based on this equation are incorrect. Hence, -4 - 2 does not equal -8.

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Answer:

True bcuz is a straight

True

Answer: 9992

Step-by-step explanation:

\(P(2)=5673(2)-1354=9992\)

Answer:

8.74

Step-by-step explanation:

The distance can be calculated by Distance Formula , as :-

⇒ Distance = √[( x₁ - x₂ )² + (y₁ - y₂ )² ]

⇒ D = √ [ ( 3 + 2)² + (5+2)² ]

⇒ D = √ 5² + 7²

⇒ D = √ [ 25 + 49 ]

⇒ D = √ 74

⇒ D = 8.74 units .

Answer:

c=60

d=45

Step-by-step explanation:

3c=180

c=60

4d=180

d=45

Answer:

Tom: £166

Ben: £581

Step-by-step explanation:

     In the ratio 2 : 7 there are 9 portions total (2 + 7 = 9).

£747 / 9 = £83

     For Tom:

£83 * 2 = £166

     For Ben:

£83 * 7 = £581

Checking our work:

      Since the decimals are the same, this means the ratios are equal.

2/7 = 0.2857

166/581 = 0.2857

Answer:

Hello your question is poorly written below is the complete question

An actuary has discovered that policyholders are three times as likely to file two claims as to file four claims. If The number of claims filed has a Poisson distribution. Compute the variance of the number of claims filed. You can use, without a proof, what is the variance of a Poisson distribution is equal to its mean

answer : variance = 2

Step-by-step explanation:

compute the variance of the number of claims filed

x = number of claim filed

For Poisson distribution

mean = variance = Л

∴ Variance = 2

The length of line having mid point B ⇒  7x - 2.

Given that,

B is the mid point of AC

And also given that

length of segment AB = 2x+5

And length of segment BC = 5x - 7

A straight path established by linking a group of points in a plane is known as a line. It is a one-dimensional form with only a length and no width or height. A line can extend indefinitely in both ends in opposite directions. To indicate a line, we can use upper case characters.

Now since B is the mid point of AC,

So, The line AC is sum of the line segment AB and line segment BC.

Therefore,

AC = AB+BC

     = (2x+5)+(5x - 7)

     = 7x - 2

Hence,

The length of AC is 7x - 2

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Answer:

25 pages

Step-by-step explanation:

60 minutes in 1 hour. 60/12=5  5 x 5 =25

Answer:

1.80

Step-by-step explanation:

He spent 1.20 on the gum in total. 3.00-1.20=1.80

The difference in the circumference of the circles is 4π / x + 2

The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant π and the diameter of the circle.

The formula of circumference of a circle is given as;

C = 2πr

Subtracting the circumference of B from A

C = [8π / x + 2] - [4π/ x + 2]

Since both fractions have the same denominators;

C = 8π - 4π / x + 2

C = 4π / x + 2

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Answer:

Order of operations tells you to perform multiplication and division first, working from left to right, before doing addition and subtraction. Continue to perform multiplication and division from left to right. Next, add and subtract from left to right, so the mom would not be doing it right since addition goes first, so the answer would be 7. The dad would be right

Step by Step Explanation:

Hope this helps :p

Answer: 12 minutes

Let us suppose the number of minutes per month is 720. ( i have assumed this data from myself, you use any data you want, remember the procedure)

Now, Mark and his brother share the minutes every month equally.

So, clearly, Mark and his brother would get 360 minutes each every month.

Now, Mark has 360 minutes each month

therefore, Mark has 360/30 minutes per day

= 12 minutes each day.

Step-by-step explanation:

Answer:

all of the above

Step-by-step explanation:

Answer:

The answer is C

Sn=3(1-1/2^n)

Step-by-step explanation:

The expression which defines \(S_{n}\) is option c which is \(S_{n} =3(1-1/2){n}\).

A geometric progression is basically a sequence in which all the terms have a common ratio. It is also known as G.P.

We have been given a sequence as 3/2+3/4+3/8+3/16+.....

If we carefully see the sequence then we will find that this sequence is a Geometric progression because there is a common ratio between all the terms that is 1/2.

Ratio of first and second term=3/4/3/2=1/2

We know that Sum of GP when n<1 is \(a(1-r^{n} )/1-r\)

we have to just put the value of =3/2 and r=1/2 in the above formula.

\(S_{n}\)=3/2(1-\(1/2^{n}\))/1-1/2

=3/2(1-\(1/2^{n}\))/1/2

=3*2/2(1-\(1/2^{n}\))

=3(1-\(1/2^{n}\))

Hence the expression which denotes \(S_{n}\) is 3(1-\(1/2^{n}\)).

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Answer:

  $142.32, profit on sale of the policy

Step-by-step explanation:

You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.

The insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...

  0.000456 × $280,000 = $127.68

The company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...

  $270 -127.68 = $142.32

The expected value of the policy to the company is $142.32.

This represents its profit from sale of the policy.

__

Additional comment

Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."

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Answer: Aₙ = 3*Aₙ₋₁ - 12

Step-by-step explanation:

Here our terms will be denoted as:

Aₙ

Where this is the n-th term of the sequence.

Now we have that the recurrence relation is defined by:

"by multiplying the prior term by 3 and subtracting 12."

Then we will have that:

Aₙ = 3*Aₙ₋₁ - 12

That is the equation to find all the terms in our sequence (remember that we need to know the initial term, A₀ in order to find all the other ones)

Answer: y = 7x + 18

Step-by-step explanation:

y = mx + b, (-2,4), m = 7

4 = 7(-2) + b

4 = -14 + b

b = 18

y = 7x + 18

Answer:

20 tables are needed

Step-by-step explanation:

200 divided by 10 is equal to 20 so if there are 200 guests and a table seats 10 people each you can use repeated subtraction or division and get an answer of 20 tables.