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4 years ago

A peregrine falcon dives for prey. Its elevation changes

Mathematics

1 answer:

bija089 [108]4 years ago

4 0

11.5 x 3.2 = 36.8m

-36.8 meters change in elevation

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The events A and B are independent such that P(A)=0.5 and P(B)=0.7.

pochemuha

Answer:

the answer to this is 0.15 #4

8 0

3 years ago

The sum of 6 consecutive even numbers is 270.What is the second number in this sequence?

Finger [1]

Answer: 42

Step-by-step explanation:

Let the six consecutive even numbers be x , x+2 , x+4 ,x+6 ,x+8 ,x+10.

Then According to the question , we have

$x+(x+2)+(x+4)+(x+6)+(x+8)+(x+10)=270\\\\\Rightarrow\ x+x+2+x+4+x+6+x+8+x+10=270\\\\\Rightarrow\6x+30=270\\\\\Rightarrow\ 6x=270-30\\\\\Rightarrow\ 6x=240\\\\\Rightarrow\ x=40$

Now, the second number from the above six consecutive even numbers is x+2.

Substitute the value of x in it, we get

The second number in this sequence = $x+2=40+2=42$

3 0

3 years ago

Read 2 more answers

W contains the best franchises of 2015 according to Entrepreneur. If W= {Hampton Hotels, Anytime Fitness, Subway, Jack in the Bo

weeeeeb [17]

Answer:

Proper Subsets = 1023

Step-by-step explanation:

Given $W= \{Hampton\ Hotels, Anytime\ Fitness, Subway, Jack\ in\ the\ Box, Supercuts, \\Jimmy\ Johns, Servpro, Denny's, Pizza\ Hut, 7-Eleven\}$

Required

Determine the proper subsets

Proper Subset (P) is calculated using;

$P = 2^n - 1$

Where

$n = number\ of\ elements$

In this case;

$n = 10$

So:

$P = 2^n - 1$

$P = 2^{10} - 1$

$P = 1024 - 1$

$P = 1023$

Hence;

<em>Proper Subsets = 1023</em>

7 0

3 years ago

How to Simplify. (–21 × 3) + (15 ÷ –3)

vladimir2022 [97]

Answer:

-68 is your answer

Step-by-step explanation:

Remember to follow PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)

First, solve each parenthesis

(-21 x 3) = -63

(15/-3) = -5

Next, add

(-63) + (-5) = -63 - 5 = -68

-68 is your answer

5 0

3 years ago

Question 10 (1 point) Solve for x. 1/2+x/6=4/3

jek_recluse [69]

Answer:

The value of x for the given expression is 5 .

Step-by-step explanation:

Given expression as

$\dfrac{1}{2}$ + $\dfrac{x}{6}$ = $\dfrac{4}{3}$

Now, arrange the equation

So, $\dfrac{x}{6}$ = $\dfrac{4}{3}$ - $\dfrac{1}{2}$

<u>Taking L.C.M on right hand side </u>

Or, $\dfrac{x}{6}$ = $\dfrac{8 -3}{6}$

Or, $\dfrac{x}{6}$ = $\dfrac{5}{6}$

Or, x = $\frac{5\times 6}{6}$

∴ x = 5

So, The value of x = 5

Hence,The value of x for the given expression is 5 . Answer

5 0

3 years ago