Give an example of a real-life situation where it might make sense to round a number and a different situation where it probably does not make sense to round a number.

The solution for A is given as A = 2K/P

According to the question we have been the formula to find the value of K which is given as follows:

                       K = AP/2

We need to find the formula to find the value of A from the given above formula. To find the formula we will solve the equation for A which is :

                     K = AP/2

multiplying both the sides by 2 we get,

              K*2 = AP/2 *2

               2K = AP

Now dividing both the sides by P we get,

              2K/P = AP/P

              2k/P = A

or,             A = 2K/P

Hence the solution for A is given as A = 2K/P

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Answer:

b

Step-by-step explanation:

The number of scores that are in the sample will be 25.

From the information, the sample from a population with μ = 40 and σ = 10 has a mean of M = 44 and tthe sample mean corresponds to a z = 2.00.

The number of scores that are in the sample will be:

z = 4 / (10 / ✓n)

2.00 = 4✓n / 10.

4✓n = 20

✓n = 20/4

✓n = 5

n = 5²

n = 25

Therefore, the number of scores that are in the sample will be 25.

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Answer:

65 Miles Per Hour

Step-by-step explanation:

357.5 divided by 5 1/2 equals 357 1/2 divided by 11/2, or 715/2 times 2/11 using reciprocals. Multiply and you get 1430/22 which simplifies down to 65. Therefore you were driving at 65 miles per hour

The rectangle will have a 548.1 square foot size and a 94.2-foot periphery.

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be

Perimeter of the rectangle = 2(L + W) units

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L×W square units

The length is 21 feet and the width is 26.1 feet.

The perimeter of the rectangle will be

P = 2 (21 + 26.1)

P = 2 x 47.1

P = 94.2 feet

The area of the rectangle will be

A = 21 x 26.1

A = 548.1 square feet

The rectangle will have a 548.1 square foot size and a 94.2-foot periphery.

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Answer:

Yes, it is!

Step-by-step explanation:

How to know if the ordered pairs is a function? Just look at the x values! If any of the x values repeat more than 1 time, then it is not a function. In this relation, none of the x values repeat more than 1 time, so this is a function!

Here are the ordered pairs on a graph (it passes the vertical line test):

3) By the time Janet pays off the loan, the total interest she would have paid is D. $941.17.

4) By the time Jane pays off the loan, the total cost of her tip is B. $4,441.17.

5) The equation to find the new balance after each month's payment is D. New balance = Previous balance - Total monthly payment.

The monthly payments can be computed by first computing the total payments (future value of the loan). Then, the above figure is divided by the number of periods.

For instance, the total cost of Janet's trip is $4,441.17.  The payments are made for 24 months. Dividing $4,441.17 by 24 gives $941.17.

N (# of periods) = 24 months (2 x 12)

I/Y (Interest per year) = 24%

PV (Present Value) = $3,500

FV (Future Value) = $0

Results:

PMT = $185.05

Sum of all periodic payments = $4,441.17 ($3,500 + $941.17)

Total Interest = $941.17

Thus, Janet would have spent $4,441.17 to obtain a loan of $3,500 for her trip at 24% interest with 24 months for repayment.

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Scaling is a resizing process. To draw a scaled size of a figure, we need to multiply all of the lengths by a scale factor. When drawing scale copies, we need to remember to the aspect ratio.

What is scaling?

Scaling process defines the resizing the image by increasing or decreasing the size of the image. It enhanced the image by the method called magnification. The magnification of the image depends on the resolution which defines the aspect ratio.

This process makes the image smaller by scaling down or bigger by scaling up. It play a vital role in computer graphics as well as vision based algorithms.

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Based on the Alternate Interior Angles Theorem, the degree measure of angle 3 is equal to 153.

Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

The Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.

Since line a and m are parallel lines, angle 4 and 6 are alternate interior angles. By applying the supplementary angle theorem, the measure of angle 6 is given by:

Q + R = 180°

153° + m<6 = 180°

Angle 6 = 180° - 153°

Angle 6 ≡ Angle 4 = 17°

Now, we can determine the degree measure of angle 3 by applying the supplementary angle theorem:

Q + R = 180°

17° + m<3 = 180°

Angle 3 = 180° - 17°

Angle 3 = 153°

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The vertical line is correct, but the horizontal line is not.

This is because we can reflect the left half over the vertical line to have it produce the right half, and vice versa.

Unfortunately, the top half is not the same as the bottom half. For instance, the metal part at the bottom is not found at the top. Also the top and bottom shapes don't perfectly match.

In the given picture there are 5 questions.

1. What are the name of the segments?

We have 3 points on a line we get 3 segment that are [tex]\bar{AB},\bar{AC}and \bar{BC}[/tex].

2.What are the names of a rays?

The names of the rays are[tex]\overrightarrow{AB},\overrightarrow{AC},\overrightarrow{CB},\overrightarrow{BA},\overrightarrow{BC}and \overrightarrow{CA}[/tex].

3. Name a pair of opposite rays.

The pair of opposite rays are [tex]\overrightarrow{CB},and \overrightarrow{CA}[/tex].

4. What is the intersection of plane AEF and plane HGF

[tex]\overrightarrow{EF}[/tex].

5. Name two planes that intersect  [tex]\overline{CB}[/tex].

plane BFG and plane ADC.

1. Given there is a line with 3 points A,B and C.

The segment is the ends of a line segment are two. These endpoints are included, along with every point on the line that connects them. A segment's length can be measured, while a line's length cannot.

If there are 2 points on a line = 1 line segment; 3 points on a line = 3 segments.

We have 3 points on a line we get 3 segment that are [tex]\bar{AB},\bar{AC}and \bar{BC}[/tex].

2. Given there is a line with 3 points A,B and C.

A ray is a segment of a line with a single endpoint and unlimited length in a single direction. A ray cannot be measured in terms of length.

The names of the rays are

[tex]\overrightarrow{AB},\overrightarrow{AC},\overrightarrow{CB},\overrightarrow{BA},\overrightarrow{BC}and \overrightarrow{CA}[/tex].

3. Opposite rays are the two rays which has same end point that when kind of combined together create a straight line.

So, here we have an end point as C and the reason being is if my endpoint C i can have a ray go to right point B and it can go to the left point A.

If we choose the point A it can go to right point but not left and if we choose the point B it can go to left point but not right.

That's why the end point is C.

The pair of opposite rays are [tex]\overrightarrow{CB},and \overrightarrow{CA}[/tex].

4. the intersection of plane AEF and plane HGF is [tex]\overrightarrow{EF}[/tex].

5. the planes that intersect  [tex]\overline{CB}[/tex].

plane BFG and plane ADC.

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Answer:

3

Step-by-step explanation:

Dividing both sides by 4, we get 3(x-6)=y+3.

From here, it is clear the coefficient of x after isolating y, or the slope, is 3.

is this a test? if not let me know

Answer:

0.023

Step-by-step explanation:

theres 100 centimeters in a meter . in other words , just move the decimal two points to the right lol

Answer:

80*

Step-by-step explanation:

That would be the correct answer because that would be the accurate measure for the interior angle shown.

Answer:

  a.  29

  b.  g(p) = 2p² -3

  c.  4x +2h

Step-by-step explanation:

You want to evaluate g(x) = 2x²-3 for different values of x.

Substituting -4 for x, we have ...

  [tex]g(-4)=2(-4)^2-3 =2(16)-3\\\\\boxed{g(-4)=29}[/tex]

Substituting p for x, we have ...

  [tex]\boxed{g(p)=2p^2-3}[/tex]

The given expression simplifies to ...

  [tex]\dfrac{g(x+h)-g(x)}{h}=\dfrac{(2(x+h)^2-3)-(2x^2-3)}{h}\\\\=\dfrac{2(x^2+2hx+h^2))-3-2x^2+3}{h}=\dfrac{2x^2+4hx+2h^2-3-2x^2+3}{h}\\\\=\boxed{4x+2h}[/tex]

__

Additional comment

The square of a real number is always positive. That should be your first clue that (-4)² = 16 ≠ -16.

Sometimes it helps to remember that an exponent signifies repeated multiplication:

  (-4)² = (-4)(-4) . . . . . . has an even number of minus signs, so is positive.

Please note that this is different from -4² = -(4²) = -16.

Step-by-step explanation:

I'm assuming you mean, (-2)(-1)(-6)

This will give (-2)(-1)= +2 (-)×(-) = +

(+2)×(-6) = -12

Answer: 6 (3)  -5

6x 3 = 18   18- 5  =  13

Step-by-step explanation:

Answer: =4±23√

Step-by-step explanation:

Answer:

Where's the triangle?

Step-by-step explanation:

Answer:

The best way to solve this is by setting up a proportion. Since the length to width is stated as 8 to 1, the ratio would be set-up as 8/1=32.3/x

Step-by-step explanation:

The required sum is 8.25

What is sum in mathematics?

A summation, also known as a sum, is the outcome of adding numbers or quantities arithmetically. A sum always has an even number of terms. There might be as few as two or as many as a hundred, thousand, or million phrases. Some sums have an unlimited number of terms.

[tex]6+4+\frac{3}{4}+(-2.5)[/tex]

[tex]= 10+\frac{3}{4} -2.5[/tex]

[tex]= \frac{40+3-10}{4}[/tex]

[tex]=\frac{33}{4}=8.25[/tex]

Hence the required sum is 8.25

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The three lakes that Frank walked were Lakes A, B, and C. This may be deduced from the distances between the lakes as well as the total distance that Frank traveled, which was more than 35 miles but less than 40 miles.

You may determine which lakes Frank walked to by combining a total of three lakes from the set of lakes provided in the puzzle.

Assuming Frank hiked Lakes A, B, and C, the distance is;

= 6.51 + 8.74 + 21.25

= 36.5 miles

Lakes A, B, and D:

= 6.51 + 8.74 + 18.68

= 33.93 miles

Lakes A, B, and E:

= 6.51 + 8.74 + 15.33

= 30.58 miles

It can be observed that Lakes A, B, and C are the only ones that meet the requirement of having a distance of fewer than 40 miles but more than 35 miles.

The following questions should be asked next:

Lakes: a = 6.51

b = 8.74

c = 21.25

d = 18.68

e = 15.33

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The length of RS is 58 when S is the midpoint of RT.

Distance is measured in length. According to the International System of Quantities, length has the dimension of distance. In most measurement systems, length is represented by a base unit from which all other units are derived. The International System of Units' fundamental unit of length is the meter.

In geometry, a line segment's midpoint is referred to as the midpoint. It serves as both the segment's and the ends' centroid, and it is equally spaced from both. It cuts the section in half.

If S is the midpoint of the line segment  RT then , from the definition we can say that RS = ST

Now we can put the values and solve the equation to find the length of RS .

7x - 5 = 6x + 4

or, x = 9

Therefore RS = 7x - 5 = 7 × 9 - 5 = 58

Hence the length of RS is 58 units.

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The  value of the car after t years is 36000*0.92^t

A car bought for 36000 euro depreciates in value by 8% each year

we have to find the formula for the value of the car V ,after t years

The Car Depreciation Calculator uses the following formulae

:V = P * (1 - R/100)^n

Where,

V is the value of the car after n years,

P is the purchase amount,

R is the percentage rate of depreciation per annum,

n is the number of years after the purchase.

P = 36000,

R =8%,

n = t

The value of the car after n years, V = P * (1 - R/100)^n

= 36000 * (1 - 8/100)^t

= 36000 * (1 - 0.08)^t

= 36000 * (0.92)^t

= 36000 * 0.92^t

Hence, The value  of the car after t years is 36000*0.92^t

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Answer:

Can you please add the image for I can help you?

Step-by-step explanation: