MATHEMATICS HIGH SCHOOL

Describe in words where cube root of 24 would be plotted on a number line.Between 2 and 3, but closer to 2
Between 2 and 3, but closer to 3
Between 1 and 2, but closer to 1
Between 1 and 2, but closer to 2

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

In words the place that the cube root of 63 would appear on the number line would be: between 3 and 4, but closer to 4

How to find the cube root

The cube root of 63 would be gotten from a calculator when we use this formula

The solution that we would have from the calculator would be 3.97. The value 3.97 is known to be greater than 3 by a lot but just a little less than 4 on the number line.

3.97 can be approximated to be 4. Hence we can say that In words the place that the cube root of 63 would appear on the number line would be: between 3 and 4, but closer to 4

Answer 2

Answer:

Answer: A. between 2 and 3, but closer to 2.

Step-by-step explanation:

The cube root of 24 is a number that, when multiplied by itself three times, equals 24. To determine where this cube root would be plotted on a number line, we can compare it to other numbers.

Let's start by finding the perfect cubes of some numbers. The perfect cube of 2 is 2*2*2 = 8, and the perfect cube of 3 is 3*3*3 = 27. Since 24 is between 8 and 27, we know that the cube root of 24 would be between 2 and 3 on the number line.

Now, to determine if it's closer to 2 or 3, we can consider the difference between the cube of each of these numbers and 24. The cube of 2 is 2*2*2 = 8, and the difference between 8 and 24 is 24-8 = 16. The cube of 3 is 3*3*3 = 27, and the difference between 27 and 24 is 27-24 = 3.

Since 16 is greater than 3, we can conclude that the cube root of 24 is closer to 2 than to 3. Therefore, it would be plotted on the number line between 2 and 3, but closer to 2.

Related Questions

Which is the equation of the given line?A. x = –3B. x = 3C. y = –3D. y = –3x
A quadratic function and an exponential function are graphed below. Which graph most likely represents the exponential function?graph of function g of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 8 and 5, 32 and 6, 64. Graph of function f of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 10 and 5, 26 and 6, 37 f(x), because an increasing quadratic function will eventually exceed an increasing exponential function g(x), because an increasing exponential function will eventually exceed an increasing quadratic function f(x), because an increasing exponential function will always exceeds an increasing quadratic function until their graphs intersect g(x), because an increasing quadratic function will always exceeds an increasing exponential function until their graphs intersect
Click on the pic,, plz help
A number increased by 5 and then divided by 7 is 12.
Which equations are true for x = –2 and x = 2? Check all that apply.A.x2 – 4 = 0 B.x2 = –4 C.3x2 + 12 = 0 D.4x2 = 16 E.2(x – 2)2 = 0

Find the area of the blue sector. Use 3.14 for pi and round to the nearest hundredth.

Answers

Answer:

The area of blue sector is 25.64 in²

Step-by-step explanation:

In the given figure, we need to find the area of blue section whose central angle is 60°

Formula:

$\text{Area of sector}= (\theta)/(360^\circ)* \pi r^2$

Radius of circle (r)=7 in

$\theta = 60^\circ$

Substitute the value into formula and find area of sector.

$\text{Area of blue sector}= (60)/(360)*3.14* 7^2$

$\text{Area of blue sector}= 25.643\approx 25.64\text{ in}^2$

Hence, The area of blue sector is 25.64 in²

What percent was the server's tip if the customer left $1.75 for a $12.50 meal.

Answers

14% was the server's tip.

.14 x 12.5 = 1.75

1.75 -12.50=10.75 so that is equal to probably 14%

What steps should be taken to calculate the volume of the right triangular prism? Select three options

Answers

Answer:

1st, 4th and 5th options are correct.

Step-by-step explanation:

Please find the attachment.

We are asked to choose three steps to calculate the volume of the given right triangular prism.

We know that base of triangular prism is triangle. The volume of triangular prism is area of base times height of the prism.

Let us find area of triangular base using area of triangle formula.

$A=(1)/(2)bh$ , where,

b = Base length,

h = Height of triangular base.

Therefore, 1st option is correct.

Upon substituting the base length (8 m) and height (14 m), we will get:

$A=(1)/(2)(\text{8 m}* \text{14 m})$

$A=\text{4 m}* \text{14 m}$

$A=56\text{ m}^2$

Therefore, 4th option is correct.

The volume of the prism would be area of base times height of prism (7 m) as:

$\text{Volume of the prism}=(56\text{ m}^2)* 7\text{ m}$

$\text{Volume of the prism}=392\text{ m}^3$

Therefore, 5th option is correct as well.

To calculate the volume of a triangular prism, measure the width and height of a triangular base, then multiply the base by the height by 1/2 to determine the triangle's area. Next, measure the height of the triangular prism and multiply this by the triangle's area to get the volume

Help me please1. In ABC, centroid D is on median . AD = x + 5 and DM = 2x – 1. Find AM.
Picture on bottom

Answers

(3x+4) units.

Working;
AM=AD+DM
=x+5+2x-1
=(3x+4) units

4. The shortest distance from a point to a straight line is A. a parallel through the point to the line.

B. the perpendicular bisector of the line.

C. a vertical line through the point.

D. the perpendicular from the line to the point.

Answers

D because it is the shortest distance from a point to a straight line

Answer:

D. the perpendicular from the line to the point.

Explanation:

Bc it is the shortest distance

1. Which describes the work of Nicolaus Copernicus?a. experimenting on human bodies

b. inventing analytic geometry

c. developing a heliocentric theory

Question 2.2. Which was not an accomplishment of Galileo Galilei?
a. creating a powerful telescope

b. writing the Principia Mathematica

c. confirming that the earth revolves around the sun

Question 3.3. Which best describes the influence of Isaac Newton's theory of universal gravitation?
a. It led to new insights into the nature of light.

Answers

1. Which describes the work of Nicolaus Copernicus?
c. developing a heliocentric theory

2. Which was not an accomplishment of Galileo Galilei?

c. confirming that the earth revolves around the sun

3. Which best describes the influence of Isaac Newton's theory of universal gravity?

It showed that the universe follows a set of predictable rules

Final answer:

Nicolaus Copernicus developed the heliocentric theory. Galileo Galilei did not write the Principia Mathematica but he did confirm the earth revolves around the sun with his improved telescope. Isaac Newton's theory of universal gravitation significantly advanced our understanding of the physical universe.

Explanation:

Nicolaus Copernicus is renowned for developing the heliocentric theory, according to which the sun is the centre of the universe and the earth and other planets revolve around it. This answer corresponds to option C in your question. Galileo Galilei, on the other hand, did not write the Principia Mathematica. This work was written by Sir Isaac Newton, and thus corresponds to option B of your second question. Galileo is well-known for advancing the telescope technology, and his observations confirmed the heliocentric system.

As for your third question, Isaac Newton's theory of universal gravitation revolutionized our understanding of the physical universe. While it did lead to new insights into light, it's most significant contribution is perhaps its explanation of how objects in the universe are attracted to each other, demonstrating that the same forces are at work in the heavens and on earth.