Solve for x.<br> Anyone know how to do this?

Terry is filling spherical water balloons with a faucet that puts out 100 cm^3 of water per second. At least rate, it takes Terr

stiv31 [10]

Answer:

its 5 cm

Step-by-step explanation:

its what I got off of Khan

7 0

3 years ago

A can of crushed tomatoes holds 40 fluid ounces. How can a label designer name the same volume using metric units? Complete the

inn [45]

The metric unit of a quantity is simply the unit of measurement of the quantity

The volumes of the crashed tomato cans are 1184 milliliters and 1.184 liters

The volume of the crushed tomato can is given as:

$\mathbf{Volume = 40oz}$

From the question, we have the following conversion ratio

$\mathbf{1oz \approx 29.6mL}$

So, the volume in milliliters becomes

$\mathbf{Volume = 40 \times 29.6mL}$

Multiply

$\mathbf{Volume = 1184mL}$

To convert the unit to liters, we simply divide the volume by 1000.

So, we have:

$\mathbf{Volume = 1184L \div 1000}$

$\mathbf{Volume = 1.184L}$

Hence, the equivalent volumes are 1184 milliliters and 1.184 liters

Read more about metric units at:

brainly.com/question/2004114

3 0

3 years ago

Prove that if x is an positive real number such that x + x^-1 is an integer, then x^3 + x^-3 is an integer as well.

Shkiper50 [21]

Answer:

By closure property of multiplication and addition of integers,

If $x + \dfrac{1}{x}$ is an integer

∴ $\left ( x + \dfrac{1}{x} \right) ^3 = x^3 + \dfrac{1}{x^3} +3\cdot \left (x + \dfrac{1}{x} \right )$ is an integer

From which we have;

$x^3 + \dfrac{1}{x^3}$ is an integer

Step-by-step explanation:

The given expression for the positive integer is x + x⁻¹

The given expression can be written as follows;

$x + \dfrac{1}{x}$

By finding the given expression raised to the power 3, sing Wolfram Alpha online, we we have;

$\left ( x + \dfrac{1}{x} \right) ^3 = x^3 + \dfrac{1}{x^3} +3\cdot x + \dfrac{3}{x}$

By simplification of the cube of the given integer expressions, we have;

$\left ( x + \dfrac{1}{x} \right) ^3 = x^3 + \dfrac{1}{x^3} +3\cdot \left (x + \dfrac{1}{x} \right )$

Therefore, we have;

$\left ( x + \dfrac{1}{x} \right) ^3 - 3\cdot \left (x + \dfrac{1}{x} \right )= x^3 + \dfrac{1}{x^3}$

By rearranging, we get;

$x^3 + \dfrac{1}{x^3} = \left ( x + \dfrac{1}{x} \right) ^3 - 3\cdot \left (x + \dfrac{1}{x} \right )$

Given that $x + \dfrac{1}{x}$ is an integer, from the closure property, the product of two integers is always an integer, we have;

$\left ( x + \dfrac{1}{x} \right) ^3$ is an integer and $3\cdot \left (x + \dfrac{1}{x} \right )$ is also an integer

Similarly the sum of two integers is always an integer, we have;

$\left ( x + \dfrac{1}{x} \right) ^3 + \left(- 3\cdot \left (x + \dfrac{1}{x} \right ) \right )$ is an integer

$\therefore x^3 + \dfrac{1}{x^3} = \left ( x + \dfrac{1}{x} \right) ^3 - 3\cdot \left (x + \dfrac{1}{x} \right )= \left ( x + \dfrac{1}{x} \right) ^3 + \left(- 3\cdot \left (x + \dfrac{1}{x} \right ) \right )$ is an integer

From which we have;

$x^3 + \dfrac{1}{x^3}$ is an integer.

4 0

3 years ago

A student survey was conducted in a major university, where data were collected from a random sample of 750 undergraduate studen

Mekhanik [1.2K]

Answer:

Pie Chart

Step-by-step explanation:

The variable mentioned in this case is categorical. That is, it has no numerical value, and can only be put into categories.

Some of the basic rule In statistics to represent data using charts are as follows:

• For categorical variables (nominal/ordinal) variables, use pie charts and bar charts

• For interval/ratio variables, use histograms

A pie chart is a circular chart divided into wedge-like portions and is basically used to display percentage or proportion of categories in the data The percentage represented by each category is shown by the corresponding slice/portion of the whole pie.

4 0

3 years ago

What is the answer for this 8k−5(−5k+3)

Helen [10]

Answer:

33k-15

Step-by-step explanation:

8k−5(−5k+3)

8k+25k-15 because -5(-5) equals=25. Two negatives equal a positive.

-5(3)= -15

So the equation changes to 8k+25k-15.

Combine like terms, and you get:

33k-15

Hope this helps, have a good day. c;

6 0

3 years ago

Read 2 more answers

Solve for x. Anyone know how to do this?