1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yKpoI14uk [10]
3 years ago
10

Henry is an avid reader.He devours 90 pages in half-an-hour.How many pages has Henry read per minute?

Mathematics
2 answers:
9966 [12]3 years ago
6 0

Answer:

Henry reads 3 per minute

Step-by-step explanation:

There is 30 mins in half an hour

so divide 90/30

and you get 3

ICE Princess25 [194]3 years ago
4 0

Answer:

3 pages per minute

Step-by-step explanation:

Half an hour is eqquivalent to 30 minutes, so we do 90 (pages) / 30 (minutes) = 3--> Wich means that Henry can read 3 pages per minute.

You might be interested in
FInd the circumference of a circle with a diameter of 6 yd. Use the value 3.14 for x and do not round your answers
Varvara68 [4.7K]

Answer:

C ≈ 18.85yd

Step-by-step explanation:

5 0
2 years ago
Please help ASAP
gtnhenbr [62]

Put the value of x = -2 to the equation of the function y = -4x + 3:

y = -4(-2) + 3 = 8 + 3 = 11

<h3>Answer: A. (-2, 11)</h3>
3 0
3 years ago
Graph y=x+1/x² and y=1/x for positive values of x.
AlekseyPX

Answer:

Graphic is showed in the figure below

Step-by-step explanation:

To graph the equations given, let's do a table for positive values of x, and, by replacing it in the equation, let's calculate the value of y. Knowing the coordinate points (x,y) we can build the graphic.

<em>x        y= x + 1/x²       y = 1/x</em>

1             2                    1

2          2.25               0.2

3          3.11                 0.33

4          4.06               0.25

When x->0 both equations -> ∞, because lim(1/x) x->0 = ∞

The graphic is showed below. In red there is y = 1 + 1/x² and in blue y = 1/x

6 0
3 years ago
Change each mixed number or whole number to an improper fraction. ​
irina [24]

Answer:

5) 19/4

7) 49/5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Does there exist a di↵erentiable function g : [0, 1] R such that g'(x) = f(x) for all x 2 [0, 1]? Justify your answer
agasfer [191]

Answer:

No; Because g'(0) ≠ g'(1), i.e. 0≠2, then this function is not differentiable for g:[0,1]→R

Step-by-step explanation:

Assuming:  the function is f(x)=x^{2} in [0,1]

And rewriting it for the sake of clarity:

Does there exist a differentiable function g : [0, 1] →R such that g'(x) = f(x) for all g(x)=x² ∈ [0, 1]? Justify your answer

1) A function is considered to be differentiable if, and only if  both derivatives (right and left ones) do exist and have the same value. In this case, for the Domain [0,1]:

g'(0)=g'(1)

2) Examining it, the Domain for this set is smaller than the Real Set, since it is [0,1]

The limit to the left

g(x)=x^{2}\\g'(x)=2x\\ g'(0)=2(0) \Rightarrow g'(0)=0

g(x)=x^{2}\\g'(x)=2x\\ g'(1)=2(1) \Rightarrow g'(1)=2

g'(x)=f(x) then g'(0)=f(0) and g'(1)=f(1)

3) Since g'(0) ≠ g'(1), i.e. 0≠2, then this function is not differentiable for g:[0,1]→R

Because this is the same as to calculate the limit from the left and right side, of g(x).

f'(c)=\lim_{x\rightarrow c}\left [\frac{f(b)-f(a)}{b-a} \right ]\\\\g'(0)=\lim_{x\rightarrow 0}\left [\frac{g(b)-g(a)}{b-a} \right ]\\\\g'(1)=\lim_{x\rightarrow 1}\left [\frac{g(b)-g(a)}{b-a} \right ]

This is what the Bilateral Theorem says:

\lim_{x\rightarrow c^{-}}f(x)=L\Leftrightarrow \lim_{x\rightarrow c^{+}}f(x)=L\:and\:\lim_{x\rightarrow c^{-}}f(x)=L

4 0
3 years ago
Other questions:
  • What is 258/300 as a decimal and percent
    11·1 answer
  • Due in 7 mins ASAP help plz
    5·1 answer
  • How do I simplify 7(3x + 9=
    10·2 answers
  • What is the height of a triangle when the area is 36 cm and the base is 6 cm
    15·2 answers
  • What are postive and negative numbers
    6·1 answer
  • Which describes the<br> correlation shown in the scatterplot? help pls
    10·2 answers
  • Can someone help me plz?
    6·2 answers
  • The x- coordinate is
    9·1 answer
  • The expression below represents the perimeter, in feet, of Manual’s garden.
    15·1 answer
  • A cylinder with radius 2 units is shown below. Its volume is 75 cubic units. Find the height of the cylinder.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!