when might you want to measure the length of an object to the nearest quarter inch as opposed to the nearest half inch

Answers

Answer 1

Answer: A quarter inch can also be expressed as 0.25 inch and the half inch can be expressed as 0.5 inch. We might want to measure the length of an object to the nearest quarter inch when its length is a little over a quarter inch only but not very near to 0.5 inch.

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Let $f(x) = x^2$ and $g(x) = \sqrt{x}$. Find the area bounded by $f(x)$ and $g(x).$

Answers

The area bounded by the functions f(x) and g(x) in graph below.

The given function are f(x)=x² and g(x)=√x.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

To find the area between two curves defined by functions, integrate the difference of the functions. If the graphs of the functions cross, or if the region is complex, use the absolutevalue of the difference of the functions.

Area bounded = |x²-√x|

Find the domain by finding where the expression is defined.

Interval Notation:

[0,∞)

Set-Builder Notation:{x|x≥0}

Therefore, the area bounded by the functions f(x) and g(x) in graph below.

To learn more about the function visit:

brainly.com/question/28303908.

#SPJ2

Answer:

$\large\boxed{1(1)/(3)\ u^2}$

Step-by-step explanation:

Let's sketch graphs of functions f(x) and g(x) on one coordinate system (attachment).

Let's calculate the common points:

$x^2=√(x)\qquad\text{square of both sides}\n\n(x^2)^2=\left(√(x)\right)^2\n\nx^4=x\qquad\text{subtract}\ x\ \text{from both sides}\n\nx^4-x=0\qquad\text{distribute}\n\nx(x^3-1)=0\iff x=0\ \vee\ x^3-1=0\n\nx^3-1=0\qquad\text{add 1 to both sides}\n\nx^3=1\to x=\sqrt[3]1\to x=1$

The area to be calculated is the area in the interval [0, 1] bounded by the graph g(x) and the axis x minus the area bounded by the graph f(x) and the axis x.

We have integrals:

$\int\limits_(0)^1(√(x))dx-\int\limits_(0)^1(x^2)dx=(*)\n\n\int(√(x))dx=\int\left(x^(1)/(2)\right)dx=(2)/(3)x^(3)/(2)=(2x√(x))/(3)\n\n\int(x^2)dx=(1)/(3)x^3\n\n(*)=\left((2x√(x))/(2)\right]^1_0-\left((1)/(3)x^3\right]^1_0=(2(1)√(1))/(2)-(2(0)√(0))/(2)-\left((1)/(3)(1)^3-(1)/(3)(0)^3\right)\n\n=(2(1)(1))/(2)-(2(0)(0))/(2)-(1)/(3)(1)}+(1)/(3)(0)=2-0-(1)/(3)+0=1(1)/(3)$

David Howell was shopping for a leather jacket. He found one at the department store that was selling for $395. He learned that an inflation rate of 4.5% has occurred since the jacket was originally priced. What was the original price of the jacket?

Answers

David Howell was shopping for a leather jacket and found one on the dept. store that costs 395 dollars.
Now, he learned that an inflation rate of 4.5% has occurred since the jacket was originally priced.
=> 395 dollars * .045 = 17.775
=> 395 dollars - 17.775 = 377.23 is the original price of the jacket.

Vertical angles must: . . Check all that apply . . A. Be a linear pair. B. Have the same vertex. . C. Be adjacent . D. Be congruent.

Answers

The correct answers are:
B) have the same vertex
C) be congruent.

Explanation:
Vertical angles are defined as opposite angles that share only a vertex. This definition is why B is true.
Since they are opposite angles, that means that the sides of one angle will be opposite the sides of the other; since this is true, the angles must be congruent.

Answer: Vertical angles must have same vertex and be congruent.

Step-by-step explanation:

When two lines crosses each other , the opposite angles are known as vertically opposite angles or vertical angles where "vertical" refers to the vertex .

Also we know that Vertical angles theorem says that vertical angles are always congruent.

Therefore, Vertical angles must have same vertex and be congruent.

Subtract 3 from 4/9 of 20

Answers

Answer:

5 8/9

Step-by-step explanation:

20*4/9=8 8/9

8 8/9–3=5 8/9

What are the first four terms of the sequence given by the formula below?
an= -2n + 4

Answers

In order to solve this problem, We need to substitute the first four numbers (1,2,3,4) for n. After this we calculate:
First item:
a1= -2*1 + 4=-2+4=2
Second item:
a2= -2*2 + 4 =-4+4=0
Third item:
a3= -2*3 + 4 =-6+4=-2
Forth item:
a4= -2*4 + 4 =-8+4=-4

So the first 4 items are: 2,0,-2,-4..

Answer:

Sequences and Series Online Practice Conexus review:

100%, Hope this helps Y'all:)

Can anybody help e with this question ?? 9! - 5!

Answers

9! - 5!
(9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) - (5 × 4 × 3 × 2 × 1)
(72 × 42 × 20 × 6 × 1) - (20 × 6 × 1)
(3024 × 120 × 1) - (120 × 1)
(362880 × 1) - (120 × 1)
362880 - 120
362760

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