Which is equivalent to Square root 10 3/4 x <br> ?

2, 5, 9, 14, ?, 27. what’s the missing number?

poizon [28]

Answer:

20

Step-by-step explanation:

2, 5, 9, 14, ?, 27.

2,5 the number added is 3

5,9 the number added is 4

9,14 the number added is 5

14,20 the number added is 6

20 , 27 the number added is 7

7 0

3 years ago

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Michael Chan leaves a dock in his motorboat and travels at an average speed of 9 mph toward the Isle of Shoals, a small island o

horsena [70]

Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.

<h3>What is the distance?</h3>

Distance is the movement of an object regardless of direction. The distance can be defined as the amount of length an object has covered, regardless of its starting or ending position

We know that r × t = d

r = rate of speed

t = time

d = distance

For the motor boat

9 × t = d = rate × time

For the tour boat

27 × (t - 2) = d = rate × time

When they both cover the same distance in the same amount of time, they will eventually cross paths.

They both cover the same d-mile distance, so:

9 ×t = 27 × (t - 2)

Simplify to get:

9 × t = 27 × t - 54

18 t = 54

t = 3

The motor boat will have traveled at 9 mph for 3 hours to make a distance of 9 × 3 = 27 miles.

The tour boat will have traveled at 27 mph for 1 hour to make a distance of 1 × 27 = 27 miles.

Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.

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8 0

2 years ago

What is the area and perimeter. please answer asap

Airida [17]

Answer:

Perimeter: 24

Area: 1105.92

Step-by-step explanation:

Perimeter:

Add up all of the numbers

Area:

Multiply all of the numbers

(I'll redo it if this isn'twhat you meant by)

7 0

3 years ago

1. take away five from twelve times f. 2. one-half of the sum of k and six 3.x squared minus the sum of 5 4.the sum of the produ

77julia77 [94]

The expressions formed are,

12f -5
(k+6)/2
x²-x+5
ab+3c
24xy+g

Formation of expressions in 1, 2 and 3:

In 1, twelve times f is, 12f

Taking away 5, it becomes (12f-5)

In 2, sum of k and 6 is, (k+6)

One-half of the above quantity is, (k+6)/2

In 3, sum of 5 with x is, (x+5)

Now, x squared minus the above expression indicates (x²-x+5)

Formation of expressions in 4 and 5:

In 4, product of a and b, is ab and 3 times c is 3c

Sum of the expressions evaluated in the previous statement = ab+3c

In 5, 24 times the product of x and y is, 24xy

Adding, g in the above computed expression, we get, 24xy+g

Learn more about expressions here:

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3 0

2 years ago

Use cubic regression to find a function that fits the following points.

8090 [49]

Answer:

y = 2x³ + x² - 4x + 6

Step-by-step explanation:

General formula:

y = ax³ + bx² + cx + d

If you replace point (0, 6) in the general formula, you get:

6 = a(0)³ + b(0)² + c(0) + d

6 = d

If you replace points (-1, 9), (1, 5) and (2, 18) in the general formula, you get the following system of equations:

9 = a(-1)³ + b(-1)² + c(-1) + 6

9 = -a + b - c + 6 (eq. 1)

5 = a(1)³ + b(1)² + c(1) + 6

5 = a + b + c + 6 (eq. 2)

18 = a(2)³ + b(2)² + c(2) + d

18 = 8a + 4b + 2c + 6 (eq. 3)

Adding equation 1 to equation 2:

14 = 2b + 12

(14 - 12)/2 = b

b = 1

Multiplying equation 1 by 2:

18 = -2a + 2b - 2c + 12 (eq. 4)

Adding equation 4 to equation 3, and replacing with b value:

36 = 6a + 6b + 18

36 = 6a + 6 + 18

(36 - 6 - 18)/6 = a

a = 2

Replacing a and b values in equation 1:

9 = -2 + 1 - c + 6

c = -2 + 1 + 6 - 9

c = -4

8 0

3 years ago

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Which is equivalent to Square root 10 3/4 x ?