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ratelena [41]
3 years ago
6

The lengths of boats in a harbor, in feet, are listed below.

Mathematics
1 answer:
Andrew [12]3 years ago
3 0
The frequency table is:
5 - 14   15 - 24     25 - 34   35 - 44   45 - 54     55 - 64   65 - 74    75 - 84

   5           8              8            4              2              1          0              2
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Problem: It takes Chantal 6 hours to plow a garden. When her Grandpa Joss comes to visit, it takes him 10 hours to do the same a
Sidana [21]

Answer:

it would take 7 minutes to plow the whole garden.

Step-by-step explanation:

3 0
2 years ago
Lisa has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area
Amiraneli [1.4K]
I would use the formula, area = length x width
7 0
3 years ago
Read 2 more answers
(-6,8); perpendicular to y = -3/2x -1
UNO [17]

Answer:

y =  \frac{2}{3} x + 12

Step-by-step explanation:

y =  -  \frac{3}{2} x - 1

The gradient of a line is the coefficient of x when the equation of the line is written in the form of y=mx+c.

Thus, gradient of given line=-  \frac{3}{2}.

The product of the gradients of perpendicular lines is -1.

(Gradient of line)(-3/2)= -1

Gradient of line

- 1 \div ( -  \frac{3}{2} ) \\  =  - 1( -  \frac{2}{3} )  \\  =  \frac{2}{3}

Substitute m=\frac{2}{3} into y=mx+c:

y =  \frac{2}{3} x + c

To find the value of c, substitute a pair of coordinates.

When x= -6, y= 8,

8 =  \frac{2}{3} ( - 6) + c \\  \\ 8 =  - 4 + c \\ c = 8 + 4 \\ c = 12

Thus, the equation of the line is y =  \frac{2}{3} x + 12.

7 0
3 years ago
What are the last three terms of the binomial expansion 32x³ + 80x'y + 80x³y² +
Gnesinka [82]

The last three terms of the given binomial expansion are 40x²y³ + 10xy⁴ + y⁵

<h3>Binomial expansion</h3>

From the question, we are to determine the last three terms of the binomial expansion 32x⁵ + 80x⁴y + 80x³y² + __ + __ + __

The highest power of the expansion is 5

Using the binomial expansion theorem

(m +n)⁵ = m⁵ + 5m⁴n + 10m³n² + 10m²n³ + 5mn⁴ + n⁵

Now, we will determine the values of m and n by comparison

By comparison,

m⁵ = 32x⁵

m⁵ = (2x)⁵

∴ m = 2x

Also,

5m⁴n = 80x⁴y

Divide both sides by 5, to get

m⁴n = 16x⁴y

Put m = 2x into the equation

(2x)⁴n = 16x⁴y

16x⁴n = 16x⁴y

∴ n = y

Thus, the expression being expanded is (2x + y)⁵

By binomial expansion, the expansion of (2x + y)⁵  is

(2x + y)⁵ = (2x)⁵ + 5(2x)⁴y + 10(2x)³(y)² + 10(2x)²(y)³ + 5(2x)(y)⁴ + y⁵

(2x + y)⁵ = 32x⁵ + (5×16)x⁴y + (10×8)x³(y)² + (10×4)x²(y)³ + (5×2)x(y)⁴ + y⁵

(2x + y)⁵ = 32x⁵ + 80x⁴y + 80x³y² + 40x²y³ + 10xy⁴ + y⁵

Hence, the last three terms of the given binomial expansion are 40x²y³ + 10xy⁴ + y⁵

Learn more on Binomial expansion here: brainly.com/question/13602562

#SPJ1

8 0
2 years ago
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.64 before the discount, and
OLEGan [10]

Answer:

  $82.57

Step-by-step explanation:

The tip they leave is ...

  $78.64 × 0.20 = $15.73

The amount of the discount is ...

  $78.64 × 0.15 = $11.80

Then the total cost of the meal and tip is ...

  meal price - discount + tip

  $78.64 -11.80 +15.73 = $82.57

6 0
2 years ago
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