Two airplanes leave the same airport heading different directions. After 2 hours, one airplane has traveled 710 miles and the other has traveled 640 miles. Describe the range of distances that represents how far apart the two airplanes can be at this time

Answer:

[tex]\boxed {\boxed {\sf 682}}[/tex]

Step-by-step explanation:

The nth term of an arithmetic sequence can be found using the following formula.

[tex]a_n=a+d(n-1)[/tex]

where a is the first term, d is the common difference, and n is the term.

First, we should find the common difference.

We can do this by subtracting each term from the term following it. Basically, subtract the first term from the second term, the second from the third, and so on.

[tex]d= a_2-a_1[/tex]

The second term is 25 and the first is 16.

[tex]d= 25-16[/tex]

[tex]d=9[/tex]

Now we know the common difference is 9. We also know the first term is 16 and we are looking for the 75th term.

[tex]d=9 \\a=16 \\n= 75[/tex]

Substitute the values into the formula.

[tex]a_{75}=16+9(75-1)[/tex]

Solve according the PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).

Solve the parentheses first.

[tex]a_{75}=16+9(74)[/tex]

Multiply next.

[tex]a_{75}=16+666[/tex]

Finally, add.

[tex]a_{75}=682[/tex]

The 75th term in the sequence is 682.

Answer:

you save $12 by buying the sweater on sale

Step-by-step explanation:

Answer:

4.8%

Step-by-step explanation:

Given that :

Stock beta (B) = 1.5

Expected return = 16.35% = 0.1635

Maeket rate of return (Rm) = 12.5% = 0.125

Risk-free rate of return (Rf) =?

Using the relation :

Expected rate of return = risk free rate + Beta(market rate - Risk-free rate)

Expected rate of return = Rf + B(Rm - Rf)

Plugging our values :

0.1635 = Rf + 1.5(0.125 - Rf)

Open the bracket

0.1635 = Rf + 0.1875 - 1.5Rf

Collect like terms

0.1635 - 0.1875 = Rf - 1.5Rf

−0.024 = - 0.5Rf

Divide both sides by - 0.5

0.024 / 0.5 = Rf

Rf = 0.048

Rf = 0.048 * 100% = 4.8%

Answer:

Step-by-step explanation:

3 x 4 - 5

= 7

The required output of the given function at x = 4 is given as f(x) = 7.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
To evaluate output from the function f(x) = 3x - 5, at x = 4 we must put the value of x in the function:
f(4) = 3(4) - 5
f(4) = 7

Thus, the required output of the given function at x = 4 is given as f(x) = 7.

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Answer:

d=-30

Step-by-step explanation:

Answer:-30

Step-by-step explanation: To find your answer, we can multiply 5 and -6 to figure out what divided by 5 equals. We then get our answer. -30

Answer:

A. There is a positive leading coefficient

Step-by-step explanation:

Polynomials can be represented as an equation or graphs.

The incorrect option is: (b) There is a positive leading coefficient.

The polynomial has a degree of 4; this means that the degree of the polynomial is even.

So option (a) The degree of the polynomial is even is true

From the graph, we can see that the function decreases at (7<x<8) and (9<x<10)

This means that, the function decreases at two intervals

So option (d) There are two intervals where the function is decreasing is also true

Also, the function is at maximum at x = 7 and x = 9.

This means that:

Option (c) At two pH values, there is a relative maximum value

Hence, the incorrect option is:

(b) There is a positive leading coefficient.

This is so because, the graph decreases at some points on the graph.

This means that, the graph has a negative leading coefficient.

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Answer:

30.40/3.2=9.5 so he pays $9.50 per ounce of steak

Step-by-step explanation:

Answer:

B.) 10 cm squared

Step-by-step explanation:

Answer:

Sure, I can try to help.

Step-by-step explanation:

Answer:

The discrimination is positive

Step-by-step explanation:

The graph shows the parabola with branches go up in positive y-direction. This gives you that a>0.

Since parabola has two x-intercepts, then the equation  has two different solutions and the discriminant is greater than 0.

Answer:

2

Step-by-step explanation:

Answer:

8x + 12 + 2x + 28 = 180

x = 14

Step-by-step explanation:

8x + 12 + 2x + 28 = 180

8x + 2x + 12 + 28 = 180

10x + 40 = 180

      -40      -40

10x  = 140

10        10

x = 14

any more help just ask :)

Answer:

the equation is y=-x+8

Answer:

I think the answer 165.1 cm tall

Step-by-step explanation:

multiply 2.54 by 65

Answer:

165.10cm

Step-by-step explanation:

i think so

Answer:

6 plus 9

Step-by-step explanation:

69

i really dont know but good luck

Answer: The answer is B, 3.6 < 37/10

Answer: I believe that your answer is B.

37/10 is greater than 3.6.

I hope I helped you!

Answer:

the second one, the one that is already highlighted is correct.

Step-by-step explanation:

she divided it up among them so 20 over x shows division

Answer:

The expected value of the sum of three numbers chosen out of 10 numbers will be 16.5.

Step-by-step explanation:

Felicia has a stack of 10 cards with number 1,2,3,4,5,6,7,8,9,10

Selecting 3 cards out of 10

10C3 = 120

Now she picks three cards to look at their numbers and sum it up

The possible three numbers are

(1 2 3), (1 3 2), (2 1 3) ,(2 3 1), (3 1 2), (3 2 1) ,(1 2 4), (1 4 2), (2 1 4), (2 4 1),

(4 1 2)│(4 2 1), (1 2 5), (1 5 2)│(2 1 5), (2 5 1) ,(5 1 2), (5 2 1), (1 2 6), (1 6 2), (2 1 6), (2 6 1), (6 1 2) ,(6 2 1) ,(1 2 7), (1 7 2) ,(2 1 7), (2 7 1), (7 1 2), (7 2 1), (1 2 8), (1 8 2), (2 1 8) ,(2 8 1), (8 1 2) ,(8 2 1), (1 2 9), (1 9 2), (2 1 9), (2 9 1), (9 1 2), (9 2 1),

(1 2... …, (6 10 8), (8 6 10), (8 10 6), (10 6 8), (10 8 6), (6 9 10), (6 10 9), (9 6 10),

(9 10 6), (10 6 9), (10 9 6), (7 8 9), (7 9 8), (8 7 9), (8 9 7), (9 7 8), (9 8 7), (7 8 10),

(7 10 8), (8 7 10), (8 10 7), (10 7 8), (10 8 7), (7 9 10), (7 10 9), (9 7 10), (9 10 7),

(10 7 9), (10 9 7) , (8 9 10), (8 10 9), (9 8 10), (9 10 8), (10 8 9), (10 9 8)

Now we sum it all up so minimum sum can be 1+2+3 = 6 andthe maximum can be 8+9+10 = 27

Let S denote the sum of the three numbers that are chosen and P(S=k) denotes its probability

P(S=6)=1/120  

P(S=7)=1/120

P(S=8)=1/60

P(S=9)=1/40

P(S=10)=1/30

P(S=11)=1/24

P(S=12)=7/120

P(S=13)=1/15

P(S=14)=3/40

P(S=15)=1/12

P(S=16)=1/12

P(S=17)=1/12

P(S=18)=1/12

P(S=19)=3/40

P(S=20)=1/15

P(S=21)=7/120

P(S=22)=1/24

P(S=23)=1/30

P(S=24)=1/40

P(S=25)=1/60

P(S=26)=1/120

P(S=27)=1/120

Now adding all the sum in order to get the expected value

∑(K=6 to 27) k*P(S=k) = 33/2 = 16.5

Therefore the expected value of the sum is 16.5.

Answer:

-1/4xy+y=0

Step-by-step explanation:

Answer:

The number is 3

Step-by-step explanation:

6 + 9n = 33

-6           -6

9n        = 27

÷9           ÷9

n           = 3

Answer:

Step-by-step explanation:

-(12-8x)=5x+15-7x

-12+8x=5x+15-7x

8x+7x-5x=15+12

10x=27

x=27/10

Answer:

x = 27/10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-(12 - 8x) = 5x + 15 - 7x

Step 2: Solve for x

Answer:

B is the answer foks thanks for looking

Step-by-step explanation:

They looked around and then rushed toward each other.  A cry of alarm surged through Tompkins Square Park.  Was this a fight to the death instead of a boxing match?

 The fear soon gave way to wave upon wave of cheering as the two amigos embraced.

 No matter what the decision, they knew they would always be champions to each other.

(continued)

Based on the passage, how do the boys resolve their conflict?

They decide to fight to the death.

They decide not to care who the winner is.

They decide to fight a rematch.

They decide to end their friendship.

Answer:

b

Step-by-step explanation:

Answer:

1/3 of your math problems need to be completed on Sunday if you did 2/3 on Saturday.

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

You already did 2/3 on Saturday. So what left to do on Sunday in order to finish your homework is 1/3 more.

Answer:

$225,000

Step-by-step explanation:

Step-by-step explanation:

To calculate the percentage change we will apply the formula:

p= N-O/O *100

p is the increased percentage

N is the current value

O is the old value.

Substitute the values in the formula:

36 = 306,000 - O/O *100

Divide both the sides by 100

36/100 = 306,000 - O/O *100/100

36/100 = 306,000 - O/O

Now multiply O at both sides

36/100 * O = 306,000-O/O * O

At R.H.S O will be cancelled by O

At L.H.S 36/ 100 = 0.36

0.36 O= 306,000-O

Combine the like terms:

0.36 O+O =306,000

1.36 O = 306,000

Divide both the terms by 1.36

1.36 O/ 1.36 = 306,000/1.36

O= $225,000

Therefore  when the house was purchased its value was $225,000....

Answer:

the answer is 5

Step-by-step explanation:

The number of groups of 3/4 in 11/4 is 3 2/3

Divide 11/4 by 3/4

= 11/4 ÷ 3/4

multiply by the reciprocal of 3/4

= 11/4 × 4/3

= (11 × 4) / (4 × 3)

= 44/12

= 3 8/12

= 3 2/3

Therefore, number of groups of 3/4 in 11/4 is 3 2/3

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