Answer:

**Answer: 50**

__Step-by-step explanation:__

f(250) = ?

Is asking, "What is the frequency (number of trees) that have a height of 250"

Look at the graph to see that when x = 250 (height), y = 50 (trees).

Therefore, f(250) = 50

You originally draw a design for an art contest on a 4 in. x 5 in. card. The second phase of the contest requires the drawing to be transferred to an 8.5 in x 11 in. standard sheet of paper and utilize as much of the space on the paper as possible. You determine that the largest size one of the dimensions of your drawing can be is 10.5 in. What is the length of the other dimension if the two drawings are similar? Type your exact answer in the blank without the units, and round to the nearest tenths.

Roxanne wants to save up enough money so that she can buy a video game. The game costs $59. Roxanne has $22 saved from mowing the grass. In order to make more money, she plans to pressure wash her neighbors’ driveways. She plans to charge $5 for each driveway she pressure washes, and any extra money she makes beyond $59 she will save to buy another video game. How many driveways does she need to pressure wash to reach her goal?

Solve: x^2 – 16x + 63 < 0

g 125 students at a college were asked whether they had completed their required English 101 course, and 74 students said "yes". Find the best point estimate for the proportion of students at the college who have completed their required English 101 course. Round to four decimal places.

WHICH PROPERTY JUSTIFIES STEP 2 PLS HELP !!!! ILL MARK BRAINLIST

Roxanne wants to save up enough money so that she can buy a video game. The game costs $59. Roxanne has $22 saved from mowing the grass. In order to make more money, she plans to pressure wash her neighbors’ driveways. She plans to charge $5 for each driveway she pressure washes, and any extra money she makes beyond $59 she will save to buy another video game. How many driveways does she need to pressure wash to reach her goal?

Solve: x^2 – 16x + 63 < 0

g 125 students at a college were asked whether they had completed their required English 101 course, and 74 students said "yes". Find the best point estimate for the proportion of students at the college who have completed their required English 101 course. Round to four decimal places.

WHICH PROPERTY JUSTIFIES STEP 2 PLS HELP !!!! ILL MARK BRAINLIST

**Answer:**

Here, m is a line and we have to find the draw parallel line of line of m through a point P with the help of straightedge and compass,

The correct order of steps for constructing a line through point P that is parallel to line m are as follows,

**Step 1 :** Use the straightedge to draw a line n that passes through P and intersect line m, lebel the point of intersection as X,

**Step 2 :** Place the point of the compass on point X and draw an arc that intersect line m and n, label the intersection point A and B,

**Step 3 : **Without changing the width of the compass opening, place the point of compass on point P and draw an arc that intersect line n label the intersection point as C,

**Step 4 :** Place the point of compass on point A and open it to the width of AB,

**Step 5 :** With the compass opening set the width of AB, place the point of the compass On point C and draw an arc that intersects the arc that was drawn from point P lebel the intersection of arc as point Y,

**Step 6 :** Use the straightedge to draw PY

**Answer:**

**Here's the list of the following sequence in the right order for you (I took the test myself and got this whole sequence right)**

1. Use the straightedge to draw a line n that passes through *P* and intersects line *m*. Label the point of intersection as point *X*.

2. Place the point of the compass on point *X* and draw an arc that intersects lines *m* and *n*. Label the intersections as points *A* and *B*.

3. Without changing the width of the compass opening, place the point of the compass on point *P* and draw an arc that intersects line *n*. Label the intersection as point *C.*

4. Place the point of the compass on point *A* and open it to width *AB*.

5. With the compass opening set to width *AB*, place the point of the compass on point *C* and draw an arc that intersects the arc that was drawn from point *P*. Label the intersection of the arcs as point *Y*.

6. Use the straightedge to draw *line PY*.

**Answer:**

g

**Step-by-step explanation:**

a) A good method to convert a decimal number to binary is dividing it by 2 and using the remainder of the division as the converted number, starting by the most significant bit (the right one). We we can't divide anymore. So we have:

217/2 = 108 + 1

108/2 = 54 + 0

54/2 = 27 + 0

27/2 = 13 + 1

13/2 = 6 + 1

6/2 = 3 + 0

3/2 = 2 +1

2/2 = 1

The binary equivalent to 217 is 11011001

b) To convert a number from decimal to hex we can divide the number by 16, taking out the decimal part and multiplying it by 16 using that as our most significant number while using the result of the original division to continue our conversion. So we have:

99/16 = 6.1875

The decimal part is 0.1875, we multiply it by 16 and obtain 3 as our most significant number. Since we can't divide 6 by 16 we have that as our least significant number then the hexadecimal equivalent is 63.

c) We follow the same steps as in item b:

344/16 = 21.5

The most significant number is 0.5*16 = 8

21/16 = 1.3125

The next number is 0.3125*16 = 5

Since we can't divide it anymore we have our result wich is 158 in hex.

d) To convert from decimal to base 7 we'll use the same method as to hex, but this time dividing and multiplying by 7.

136/7 = 19.428571

The most significant number is 0.428571 * 7 = 3

19/7 = 2.71428571

The next number is 0.71428571*7 = 5

Since we can't divide it anymore we have our result wich is 253.

e) To convert from decimal to a base 5 we'll use the same method as before but dividing and multiplying by 5.

542/5 = 108.4

The most significant number is 0.4*5 = 2

108/5 = 21.6

The next number is 0.6*5 = 3

21/5 = 4.2

The next number is 0.2*5 = 1

Since we can't divide it anymore we have our result that is 4132.

f) To convert from decimal to a base 8 we'll use the same method as before but dividing and multiplying by 8.

727/8 = 90.875

The most significant number is 0.875*8 = 7

90/8 = 11.25

The next number is 0.25*8 = 2

11/8 = 1.375

The next number is 0.375*8 = 3

Since we can't divide anymore we have our result wich is 1327

g) Following the same steps as before:

171/16 = 10.6875

The most significant number is 0.6875*16 = 11

Since we can't divide anymore we have our result wich is 1011

h) Following the same steps as before:

91/3 = 30.333333333

The most significant number is 0.333333*3 = 1

30/3 = 10

The next number is 0

10/3 = 3.3333333333

The next number is 0.333333*3 = 1

3/3 = 1

Since we have the final value remainder as 0 the least significant number is 1

Since we can't divide anymore we have our result that is 10101.

i) Following the same steps as before:

840/9 = 93.333333

The most significant number is 0.33333*9 = 3

93/9 = 10.3333333

The next number is 0.333333*9 = 3

10/9 = 1.11111111

The next number is 0.11111111*9 = 1

Since we cant divide anymore we have our result that is 1133

To **convert **decimal numbers to non-decimal bases, divide the number by the base, note the remainders, and read the remainders in reverse order to get the converted number. This applies to binary, hexadecimal, and other bases like base 7 or base 5. The process continues until the quotient is zero.

The process of converting numbers from **decimal **to non-decimal bases involves division for integer parts and multiplication for fractional parts, using the target base until the dividends are zero or an acceptable level of fractional precision is reached. For whole numbers, divide the number by the new base, note the remainder, and continue dividing the quotient until it equals zero. The remainders noted, read in reverse order (from last to first), give the resulting non-decimal number.

To convert 217 to binary, you would start by dividing 217 by 2, the base for binary numbers, and noting the remainders. This division continues until the quotient is zero. Read the remainders backwards to get the binary representation.

For conversion to hexadecimal, which is base 16, you divide the number by 16, note the remainders, continue with the quotient, and read the remainders in reverse order to get the hexadecimal equivalent. Alphabetic characters are used for remainders of 10-15, representing 'A' to 'F'.

When converting to other bases like base 7 or base 5, you follow a similar division method but use the base you're converting to. For example, in base 7, you divide by 7 and use the remainders to construct the new base representation. Always read the remainders in reverse to obtain the correct number in the new base.

In cases like base 8 or base 9, the same principles apply. Dividing the number by 8 or 9, respectively, and noting the remainders until you reach a quotient of zero will give you the representation in the new base.

#SPJ3

**Step-by-step explanation:**

f(x) = 5x + 5

f(-4) = 5.(-4) + 5

f(-4) = -20 + 5

f(-4) = -15

**Mike won **46.67% of all of his **matches**.

A ratio or value that may be stated as a **fraction **of 100 is called a **percentage**. Moreover, it is indicated by the symbol "%."

The total number of **matches **that Mike **wrestled **is:

Total matches = number of matches **won** + **number **of matches lost + number of matches **tied**

Total **matches **= 7 + 6 + 2

**Total **matches = 15

To find the **percentage** of matches that Mike won, we can use the **formula**:

Percentage = (Number of matches won / Total number of matches) x 100%

**Plugging **in the **values **we know, we get:

Percentage = (7 / 15) x 100%

Percentage = 0.4667 x 100%

Percentage = 46.67%

Therefore, the **Percentage **= 46.67%.

To learn more about the **percentage**;

#SPJ5

**Answer:**

Mike won 46.67% of his matches

**Step-by-step explanation:**

Mike participated in a total of 7 + 6 + 2 = 15 matches.

The percentage of matches that Mike won can be found by diving the matches he won by the total number of matches and multiplying it by 100 to convert the decimal to a percentage.

(7/15) x 100% ≈ 46.67%

Therefore, Mike won approximately 46.67% of his matches.

2√x+4-2=3

To solve for x:

- add 2 to both sides

2/x+4=5

- subtract 4 from both sides

2/x=1

- divide both sides by 2

/x= 1/2

- square both sides

x = 1/4

- add 2 to both sides

2/x+4=5

- subtract 4 from both sides

2/x=1

- divide both sides by 2

/x= 1/2

- square both sides

x = 1/4

**Answer:**

Yes, it is a rational number.

**Step-by-step explanation:**

You're Welcome :)

Answer is rational numer