Ben has been driving nonstop along a highway for 5 hours: The minimum speed permitted on the highway is 45 kph and the maximum speed permitted is 70 kph.Solve for the range of the distances d that Ben could trave legally traveled. Give your answer as an inequality.

Answer:

Step-by-step explanation:

8x+10 - 4x+16 = 4x-6

w= 2x-3

Answer:

Growth rate = 8% = 0.08

Initial value (Po) = $255

F(t) = Po* e^rt

F(t) = $412.09897

Step-by-step explanation:

Given that:

Initial cost = $255

Rate of increase per year (r) = 8% = 0.08

Growth rate :

Final amount = Initial amount * (1 + rate)^time

Growth rate = 8% = 0.08

Initial value (Po) = $255

Exponential model for the cost :

F(t) = Initial value * e^(rate * time)

F(t) = Po* e^rt

Value after 6 years :

F(t) = Po* e^rt

t = 6

F(t) = 255 * e^(0.08*6)

F(t) = 255 * 1.6160744

F(t) = $412.09897

9514 1404 393

Answer:

  7.  y = f(x +2) -7

  8.  y = -f(x -5)

  9.  y = f(-x) +3

Step-by-step explanation:

The general transformation can be written ...

  y = a·f(b·(x -c)) +d

'a' is the vertical expansion factor. A negative value means the graph is reflected over the x-axis.

'b' is the horizontal compression factor. A negative value means the graph is reflected over the y-axis.

'c' is the number of units of right-shift.

'd' is the number of units of up-shift.

__

7. 2 left and 7 down means (c, d) = (-2, -7), so the transformed function is ...

  y = f(x +2) -7

__

8. reflected over x and 5 right means (a, c) = (-1, 5), so the transformed function is ...

  y = -f(x -5)

__

9. reflected over y and up 3 means (b, d) = (-1, 3), so the transformed function is ...

  y = f(-x) +3

_____

The graph shows an asymmetrical function that makes it possible to tell what the transformations are. The original is dashed orange. The various y-values correspond to the problem numbers. You can see that the transformations match the problem statements.

Answer:

0.65

Step-by-step explanation:

The required standard deviation is 0.65

Given data is,

Computation:

[tex]\varepsilon_x\times P(X=x)=0\times 0.09+1\times0.42+2\times0.49\\=0.42+0.98\\=1.4[/tex]

Now,

[tex]E(X^2)=0^2\times 0.009+1^2\times 0.42+2^2\times 0.49\\=0.42+1.96\\=2.38\\\sigma ^2=E(X^2)-(E(X))^2\\=2.38-(1.4)^2\\=0.42\\\sigma =\sqrt{0.42}\\=0.65[/tex]

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Answer: the answer is B

Step-by-step explanation:

You add the A,B,C numbers together for the soda for example,

Cola: 70(A) + 30(B) + 100(C) = 200

Now you just continue that for the other sodas hope this helps :)

Answer:

9 hours and 30 mins

Step-by-step explanation:

Betsy works for about 9 hours 30 minutes daily.

What are mathematics operations?

A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.

• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.

Calculating time of Betsy total work for getting paid :

Betsy Working from 6:00 AM to 12:00 PM =  6 hour

Betsy takes an unpaid lunch break from 12:00 PM to 1:00pm = 1 hour

Betsy Working from  1:00 PM to 3:30 PM =  2.5 hour

Now adding-up all the time = 6 + 1 +  2.5 hour = 9.5 hours or 9 hours 30 minutes.

Therefore,  Betsy works for about 9 hours 30 minutes daily.

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Answer:

0.458 seconds

Step-by-step explanation:

dont get mad when its wrong

0.458 seconds

You already know that the ball travels at 90 mi/hr. 60.5 1/475200 = 0.00012732 hours. This is still a small number so express it in seconds. 0.0076389 minutes = 60 0.0076389 = 0.458 seconds. (this from google btw)

Answer:

247

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

Answer:

2.20 ms

Step-by-step explanation:

distance divided by time

300÷15=20

Answer:

I don't know, I kind of wonder the same thing sometimes. But everyone understands things at a different rate, so that's why I'm here helping people by answering their questions and doing my best to explain how I got there.

thank you for the free points though :)

Answer:

because they are over thinking easy thing and getting stressed out.

Step-by-step explanation:

this is what happened to me

Answer:

She used 2 17/20 strings of grey beads

Step-by-step explanation:

Here, we want to know the number of grey beads used

To calculate this, we simply add up the black beads number with the number of grey beads

Mathematically, that will be;

1 1/20 + 1 4/5

= 21/20 + 9/5

= (21 + 36)/20

= 57/20 = 2 17/20

Answer: 18

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

1. Arrange the numbers from least to greatest.

3,6,8,11,11, 12,13,15, 20

2. Start from the two ends and cross them off until you're left with what's in the middle.

6,8,11,11,12,13,15

8,11,11,12,13

11,11,12

11

3. The median is 11 because that is the number you are left with.

Answer:

10x + 4 < 25  

Step-by-step explanation:

The correct answer is:

10x + 4 < 25

Answer:

I dont know what does the long question requires.If is the question of 17 problem then i have explained and solved .If not then I dont know what to do.

Answer:

divide 9 and 21

Step-by-step explanation:

if you divide 9 and 21 u will get ur answer

Answer:

3

Step-by-step explanation:

20x0.15

= 3

Answer:

Well I didn't understand this question to well, but I think 15% of a $20 meal is ($3.00). OR

20x0.15

= 3

Step-by-step explanation:

I hope this helped! :)

Answer:

Albert by 5 more miles

Step-by-step explanation:

Tom:  50 * 2.5 = 125 miles

Albert:  65 * 2 = 130 miles

Albert drove for more miles

130-125 = 5 miles

Albert drove for 5 more miles

Answer:

0

1

sin

3

3

Step-by-step explanation:

These are the answers in order from every blank

The value of cos(π/2) is 0 sinπ/2 is 1 further sinx = √3/2 thus x = π/3,2π/3.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.

As per the given trigonometric equation,

cos(x)cosπ/2 + sin(x)sinπ/2 = √3/2

Since, cosπ/2 = 0 and sinπ/2 = 1

cos(x)(0)+ sin(x)(1) = √3/2

sinx = √3/2

sinx = sin π/3 = sin 2π/3.

Hence "The value of cos(π/2) is 0 sinπ/2 is 1 further sinx = √3/2 thus x = π/3,2π/3".

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Answer:

1/2 x 7= 3.5

Step-by-step explanation:

Answer:

Could you retype the equation so it isn't jankey?!

Step-by-step explanation:

answer on 12 square units

Answer:

B

Step-by-step explanation:

Answer:

u need 2321 chairs

Step-by-step explanation:

there u go

Answer: (4,-6) , do u need help on the bottom question?

Step-by-step explanation:

Answer:

The table will be:

x            y = 2x²         y = 2ˣ

0            0                   1

1             2                  2

2             8                  4

Step-by-step explanation:

Given the non-linear  equations

y = 2x²

y = 2ˣ

y = 2x²                              

y = 2(0)² =0

y = 2ˣ

y = 2⁰ = 1

y = 2x²                              

y = 2(1)² = 2

y = 2ˣ

y = 2¹ = 2

y = 2x²                              

y = 2(2)² = 8

y = 2ˣ

y = 2² = 4

Thus, the table will be:

x            y = 2x²         y = 2ˣ

0            0                   1

1             2                  2

2             8                  4

Answer:

18a, 16b, 10c

Step-by-step explanation: