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
Oliga [24]
3 years ago
5

I need help on #37!!

Mathematics
1 answer:
Nataliya [291]3 years ago
5 0

Answer:

A) 12.1 , 12.01

B) infinitely large

Step-by-step explanation:

Give that the function f(x)=x2 describes the area of the square, f(x), in square inches, whose sides each measure x inches. If x is changing. 

Using the formula

(f(a + h) - f(a))/h

as x changes from 6 inches to 6.1 inches

a = 6, h = 0.1

= [f(6.1) - f(6)]/0.1

= (6.1^2 - 6^2)/0.1

= (37.21 - 36)/0.1

= 1.21/0.1

= 12.1

and when x changes from 6 inches to 6.01 inches. 

a = 6, And h = 0.01

Using the same formula

(f(a + h) - f(a))/h

= [f(6.01) - f(6)]/0.01

= (6.01^2 - 6^2)/0.01

= (36.120 - 36)/0.01

=0.1201/0.01

= 12.01

B) the instantaneous rate of change of the area with respect to x at the moment when x = 6 inches is infinitely large since h = 0

You might be interested in
Sorry this is the picture
castortr0y [4]

Answer:

ok so use the degrees

Step-by-step explanation:

x should be 8 + 17 and then multiply the 110 degrees by 8 + 17

3 0
2 years ago
Read 2 more answers
In January, Jamie pays $2.00 for a tube of toothpaste.
mariarad [96]

Answer:

12% or 13% rounded

Step-by-step explanation:

.25 of 2.00 is .125 or 12% or 13% rounded

3 0
3 years ago
Multiply and simplify. Question is in the picture.
frez [133]
The answer should be b¹². You add the exponents of each constant. In the case of the simple b the exponent would be one.
5 0
3 years ago
Read 2 more answers
The function f(x) = a^x + 4 will never cross the x-axis if a is positive. True or False?
Jet001 [13]

Answer:

True

Step-by-step explanation:

If a is negative then the shape of the graph is an upside down U, which intersects the x-axis. If a is positive it will never cross the X axis.

8 0
3 years ago
In a large data set the 40th percentile is 125 and the 82nd percentile is 158. Approximately what percentage of observations lie
liq [111]

Answer:

42% of observations lie between 125 and 158.

Step-by-step explanation:

Interpretation of a percentile

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.

Two values have a percentile, how many are between then?

In this example, y is larger than x.

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.

When a value Z is said to be in the yth percentile of a set, y% of the values in the set are lower than V and (100-y)% of the values in the set are higher than V.

Also, (y-x)% of the values are between V and Z.

In this problem, we have that:

125 is the 40th percentile

158 is the 82nd percentile

Approximately what percentage of observations lie between 125 and 158

82 - 40 = 42% of observations lie between 125 and 158.

3 0
3 years ago
Other questions:
  • Prove that P (P) = (QA ~ Q)] is a tautology.
    8·1 answer
  • During a certain period in life of an earthworm it's length L cm is directly proportional to the squareroot of N where N is the
    9·2 answers
  • Heather lives 7 / 10 mile from theschool and 2 / 5 miles from the library . How much closer does Heather live to the library tha
    14·1 answer
  • Whats the answer for 2x-3=-x+3? I also need to see the steps because Im lost and I dont understand how to get the answer.
    7·2 answers
  • if y is 12 times x, which equation shows the relationship between x and y? y = 12x x = 12y x = 12 y y = 12 x
    5·2 answers
  • FIND THE QUOTIENT. -8.624
    15·1 answer
  • 3 Danica simplified tre following expression,
    11·1 answer
  • Given f of x equals 6 1 minus x , what is the value of f of negative 6 ?
    6·1 answer
  • Slope = 1/2, through: (3, 1)
    13·1 answer
  • 3 Find y if the slope between ( – 7, y) and (1, 13) is 3/4​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!