MATHEMATICS HIGH SCHOOL

Which of these measurements is expressed to four significant figures?a. 2.6 x 104 m
b. 5.300 x 10-7 m
c. 0.108 m
d. 16.530 m

Answers

Answer 1
Answer:

Answer: The answer is d. 16.530 m with 4 significant figures


Step-by-step explanation:

Significant figures  are the digits that contribute meaning in the expression

In the given options

a. 2.6* 10^4

Here only 2 and 6 are counted as significant digits

b.5.300* 10^(-7)

Here Since the zeros are after decimal So they will not be counted in significant figure i.e. S fig =2

c. 0.108

Here No of significant figures will be 3

d. 16.530

Here the no of significant figures are 4 i.e 1 6 5 3

So the answer is  d.16.530
Answer 2
Answer:

5.300 x 10-7 m this is the correct answer 100%so B

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Solve for x. (Round to the nearest thousandth.)
3x - 8 = 15

Answers

Answer:x = 7.667

Step-by-step explanation:

3x - 8 = 15

     + 8 = 23

3x = 23

divide 3 by 3 and 23 so you get x by itself

answer = 7.667

Answer:

x = 7.667

Step-by-step explanation:

3x - 8 = 15 (Rearrange expression)

-8 - 15 = -3x (Combine like terms)

-23 = -3x (Divide)

x = 7.667

Where in real life do people use parabolas?
*apart from maths classrooms and mathematicians.

Answers

The mirrors of reflecting telescopes are parabolas.
The microwave "dish" antennas on cell towers are parabolas. So are the little dishes on garage roofs and the corners of houses, receiving satellite TV all over the country.
The shell behind the light bulb in every car headlight is a parabola.

Which of the following accurately shows the range of the function defined below?

Answers

Answer: The answer is (b) (2, ∞)

Step-by-step explanation:  We are given a function f(x) in the figure and we are to select out of the given options that accurately shows the range of the function defined.

\textup{For }x < 0, \textup{we have}~f(x)=3.

\textup{For }0\leq x<2,\textup{ we have }f(x)=x^2+2\geq 2.

\textup{For }x\geq 2,\textup{ we have }f(x)=(1)/(2)x+5\geq 5.

Therefore, the range of the function f(x) will be greater then or equal to 2. So, the range will be [2, ∞).

Thus, the correct option is (b) (2, ∞).
Answer:
it's b

Step-by-step explanation:

Is x+1 a factor of the function f(x)=2x⁵-4x⁴+9x³-x+13?Show work supporting your answer.

Answers

Answer:

(x+1) will not be factor of given polynomial

Step-by-step explanation:

We have given polynomial f(x)=2x^5-4x^4+9x^3-x+13

We have to find that  is (x+1) factor of the given polynomial

If (x+1) will be the factor of the polynomial then x= -1 will be the root of the polynomial

And if we put x =-1 in the pronominal then then its value will be zero

f(-1)=2(-1)^5-4(-1)^4+9(-1)^3-(-1)+13=-2-4-9+1+13=-1

So (x+1) will not be factor of given polynomial

The solid surface area is equal to the solid volume. Find the value of x? The measurements of the rectangular prism is 9 inches long and 4 inches wide. Height is not listed. socratic.org

Answers

Answer:

x=7.2

Step-by-step explanation:

Let x represent height of the prism.

We know that volume of rectangular is equal to product of its height, width and length.

\text{Surface area of rectangular prism}=2(wl+lh+hw), where w, h and l represents width, length and height respectively.

We have been given that the surface area of rectangular prism is equal to the volume of the prism. So we can set an equation as:

lwh=2(wl+lh+hw)

We are also told that the measurements of the rectangular prism is 9 inches long and 4 inches wide. Upon substituting these values in above equation, we will get:

9\cdot 4\cdot x=2(4\cdot 9+9\cdot x+x\cdot 4)

Let us solve for x.

36x=2(36+9x+4x)  

36x=2(36+13x)

36x=2(36+13x)

36x=72+26x

36x-26x=72+26x-26x

10x=72

x=(72)/(10)\n\nx=7.2

Therefore, the value of x is 7.2 inches.

The number of points that lie on a period at the end of a sentence are _____. visible non-existent measureable infinite

Answers

The correct answer is:

Infinite

Explanation:

A geometric point has no dimension.  It has no set radius or diameter.  As such, there are infinite points that can exist in any drawn item, including the period at the end of a sentence.
infinte is the correct answer
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