A class is using base-ten block to represent numbers. A large cube represents 1000, a flat represents 100, a rod represents 10, and a little cube represents 1. Which of these is not a correct representation for 2,347?

Answers

Answer 1

Answer: 23 flats, 4 rods, 7 little cubes

Step-by-step explanation: 2300 + 40 + 7 = 2347

Answer 2

The only correct representation for 2,347 is 2 large cubes, 3 flats, 4 rods, 7 little cubes

Option A is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To represent 2,347 using base-ten blocks, we need:

2 thousands (represented by 2 large cubes)

3 hundreds (represented by 3 flats)

4 tens (represented by 4 rods)

7 ones (represented by 7 little cubes)

So we should have:

2 large cubes + 3 flats + 4 rods + 7 little cubes

Therefore, any option that does not have 2 large cubes, 3 flats, 4 rods, and 7 little cubes is not a correct representation for 2,347.

Let's check each option:

a) 2 large cubes, 3 flats, 4 rods, 7 little cubes

This is a correct representation for 2,347.

b) 3 large cubes, 4 flats, 7 rods

This represents 3,470, which is not the same as 2,347.

c) 20 hundreds, 3 tens, 4 ones

20 hundreds would be represented by 20 flats, which is not the same as the 3 flats needed to represent 300. Therefore, this option is not a correct representation for 2,347.

d) 23 hundreds, 4 tens, 7 ones

23 hundreds would be represented by 23 flats, which is not the same as the 3 flats needed to represent 300. Therefore, this option is not a correct representation for 2,347.

Therefore,

The only correct representation for 2,347 is option a), and options b), c), and d) are not correct representations.

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Related Questions

Which of the following is a typical cost associated with renting?
a closing costs
b. down payment
C.
property tax
d. security deposit
Please select the best answer from the choices provided
OA
ОВ
ОС
OD

Answers

Answer:

The answer is C. Property tax.

Step-by-step explanation:

An example of a typical cost that is not associated with renting include the following: C. property tax.

What are the types of tax?

In Economics, there are different types of tax that are being levied on individuals or business organizations by the government, and these include the following:

Sales tax

Income tax

Property tax

here, we have,

Generally speaking, property taxes are typically determined with respect to the monetary value of a property in real estate. This ultimately implies that, property taxes are typically determined based on the monetary value that is associated with a property.

In conclusion, last month's rent, security deposit, and pet deposit are examples of cost that are associated with renting.

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(20 points) A statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s = 20: (a) Compute the p-value in order to test H0 : = 100 against H1 : 6= 100: (b) Compute the p-value in order to test H0 : = 100 against H1 : > 100:

Answers

Answer:

The P-value is 0.0234.

Step-by-step explanation:

We are given that a statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s = 20.

Let = population mean.

So, Null Hypothesis, : = 100 {means that the population mean is equal to 100}

Alternate Hypothesis, : > 100 {means that the population mean is more than 100}

The test statistics that will be used here is One-sample t-test statistics because we're yet to know about the population standard deviation;

T.S. = ~

where, = sample mean = 98

s = sample standard deviation = 20

n = sample size = 400

So, the test statistics = ~

= -2

The value of t-test statistics is -2.

Now, the P-value of the test statistics is given by;

P( < -2) = 0.0234 {using the t-table}

Below is the graph of a polynomial. Which of the following statements about
this graph is true?

Answers

How does the whole graph look like

While playing a video game a player collected 18 of the 45 available coins right and simplify a fraction to represent the situation

Answers

Answer:

2 / 5

Step-by-step explanation:

Fractions are written in the form part/whole, in this case, the part is 18 and the whole is 45 so the fraction would be 18 / 45 which simplifies to 2 / 5.

Solve |

Answers

Answer:

I need something to slove

Step-by-step explanation:

A student wrote three papers in mathematics examination marks for two papers we're 77and 72 respectively.to obtain grade A, an average of not less than 75marks is required for the three papers

Answers

Answer:

The student must score at least 76 in the third subject

Step-by-step explanation:

Given

Scores in 2 subjects = 77 and 72

Number of subjects = 3

Required

Determine the scores in the third subject to get an average of 75

Represent the score in the third subject with y

Average in 3 scores is calculated as thus;

[tex]Average = \frac{Sum\ of\ 3\ scores}{3}[/tex]

Substitute 75 for Average

[tex]75 = \frac{Sum\ of\ 3\ scores}{3}[/tex]

Multiply both sides by 3

[tex]3 * 75 = \frac{Sum\ of\ 3\ scores}{3} * 3[/tex]

[tex]3 * 75 = Sum\ of\ 3\ scores[/tex]

[tex]225 = Sum\ of\ 3\ scores[/tex]

Substitute (77 + 72 + y) for Sum of 3 scores

[tex]225 = 77 + 72 + y[/tex]

[tex]225 = 149 + y[/tex]

Subtract 149 from both sides

[tex]225 - 149 = 149 - 149 + y[/tex]

[tex]225 - 149 = y[/tex]

[tex]76= y[/tex]

[tex]y = 76[/tex]

Hence, the student must score at least 76 in the third subject

Which of the following fractions would convert into a repeating decimal

Answers

Answer: [tex]\frac{2}{9}[/tex]

Step-by-step explanation: It is 2/9 because 2/9 converts to 0.222222222...

Hope it helps!

Question 9 options: Solve for the value of X. X2 = 36

Answers

Answer:

The answer would be x = 6 , − 6

Step-by-step explanation:

x 2 = 36

Take the square root of both sides of the equation to eliminate the exponent on the left side.

x = ± √ 36

The complete solution is the result of both the positive and negative portions of the solution.

Which give you the answer of x = 6 , − 6

10 x 4 thousands in unit form

Answers

Answer:

Step-by-step explanation:

Simplify.

10 x 4000

40000

Unit form.

forty-thousand = four thousands

I'm sorry if I misunderstood.

Please add Brainliest if you'd like, not that it matters.

Multiplication is the process of multiplying. The value of the expression 10 × 4,000 is 40,000.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

In the given expression 10×4000, the symbol of '×' represents that the two digits should be multiplied. Therefore, the value of the multiplication of 10 and 4,000 is,

10 × 4,000 = 40,000

Hence, the value of the expression 10 × 4,000 is 40,000.

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A realtor is trying to predict the selling price of houses in Greenville (in thousands of dollars) as a function of Size (measured in thousands of square feet) and whether or not there is a fireplace (FP is 0 if there is no fireplace, 1 if there is a fireplace). The regression output is provided below. Some of the information has been omitted.
Source of variation SS df MS F
Regression 3177.17 2 1588.584
Residual 17 17.7 17 13
Total 3478.36 19
Which of the following conclusions can be made based on the F-test?
A) The estimates were based on a sample of 19 houses.
B) At least one of the predictors is useful in explaining Y.
C) The model is of no use in predicting selling prices of houses.
D) The p-value on the F-test will be very high.

Answers

Answer:

The correct option is B.

Step-by-step explanation:

The ANOVA table is as follows:

Source of variation          SS            df             MS                F

   Regression               3177.17         2         1588.584          ___

     Residual                    ___           17          17.71713

        Total                    3478.36       19

The complete table is as follows:

Source of variation          SS                  df             MS                  F

   Regression               3177.17               2         1588.584        89.663

     Residual                   301.1941           17          17.7173

        Total                    3478.36             19

The critical value of F is:

[tex]F_{\alpha, (\eta_{1}, \eta_{2})}=F_{0.05, (2,17)}=3.5915[/tex]

Decision rule:

If the calculated value of the F test statistic is more than or equal to the critical value.

[tex]F=89.663\geq F_{2,17}=3.5915[/tex]

The null hypothesis will be rejected.

Conclusion:

At least one of the predictors is useful in explaining Y.

Thus, the correct option is B.

61 sample problems. The new algorithm completes the sample problems with a mean time of 14.06 hours. The current algorithm completes the sample problems with a mean time of 16.43 hours. Assume the population standard deviation for the new algorithm is 3.004 hours, while the current algorithm has a population standard deviation of 4.568 hours. Conduct a hypothesis test at the 0.05 level of significance of the claim that the new algorithm has a lower mean completion time than the current algorithm. Le

Answers

Answer:

There is sufficient evidence to conclude that the new algorithm has a lower mean completion time than the current algorithm

Step-by-step explanation:

From the question we are told that

    The  sample size for each algorithm is [tex]n_1 = n_2 = n = 61[/tex]

     The sample mean  for new algorithm is  [tex]\= x_1 = 14.06 \ hr[/tex]

     The  standard deviation for new algorithm is  [tex]\sigma _1 = 3.004 \ hr[/tex]

     The  sample  mean for  the current algorithm is  [tex]\= x_2 = 16.43 \ hr[/tex]

     The standard deviation for current algorithm is  [tex]\sigma _2 = 4.568[/tex]

     The  level of significance is [tex]\alpha = 0.05[/tex]

The  null hypothesis is  [tex]H_o : \mu_1 = \mu _2[/tex]

The  alternative  hypothesis is [tex]H_a : \mu_1 < \mu_2[/tex]

Here  [tex]\mu _1 \ and \ \mu_2[/tex] are population mean for  new and current algorithm

Generally the test statistics is mathematically represented as

       [tex]Z = \frac{ \= x _1 - \= x_2 }{ \sqrt{\frac{ \sigma_1 ^2 }{n_1} + \frac{\sigma^2_2 }{ n_2}} }[/tex]

=>    [tex]Z = \frac{ 14.06 - 16.43 }{ \sqrt{\frac{ 3.004^2 }{61} + \frac{4.568^2 }{ 61}} }[/tex]

=>    [tex]Z = -3.39[/tex]

Generally the p-value is mathematically represented as

     [tex]p-value = P(Z < -3.39 )[/tex]

From the  z-table  

             [tex]P(Z < -3.39 ) = 0.0003[/tex]

=>    [tex]p-value = P(Z < -3.39 ) = 0.0003[/tex]

From the calculated value  we see that  [tex]p-value < \alpha[/tex]  hence the null hypothesis is rejected

        Hence we can conclude that there is sufficient evidence to conclude that the new algorithm has a lower mean completion time than the current algorithm

           

State the domain and range of the following function using set notation. G(x)= -5x2 write the domain of the function set

Answers

The domain of the function is [tex]\mathbb{R}[/tex] or in set notation [tex](-\infty, \infty)[/tex].

The range of the function is [tex][0, -\infty)[/tex].

Hope this helps.

f(t)= (t-5)^2 - 9 what are the zeros of the function? Smaller T: Larger t: What is the vertex of the parabola?: (__,__)

Answers

Smaller t = 2

Larger t = 5

Step-by-step explanation:

Given:

The given function is.

Find the zeros of the function.

Solution:

Simplify the equation above equation.

Now, we first find the root of the above equation.

Use quadratic formula with .

Put a, b and c value in above equation.

For positive sign

t = 2

For negative sign

t = 5

Put t = 2 in given function.

Put t = 5 in given function.

So, the zeros of the function is t = 2 or 5

Therefore, the smaller value of t = 2 and larger value of t = 5.

circumference or area how many times must a horse go around a horse walker to walk 1 mile

Answers

Answer:

circumference

Step-by-step explanation:

Going around is the circumference

If RT=36, find the value of x

Answers

Answer:

4

Step-by-step explanation:

So we know that RT is 36.

Note that RT is the combined length of RS and ST. Therefore:

[tex]RT=RS+ST[/tex]

Substitute. RT is 36, RS is 6x+1 and ST is x+7:

[tex]36=(6x+1)+(x+7)[/tex]

Combine like terms and add:

[tex]36=7x+8[/tex]

Subtract 8 from both sides:

[tex]28=7x[/tex]

Divide by 7:

[tex]x=4[/tex]

So, our answer is 4 :)

You weigh six packages and find the weights to be 35, 25, 75, 30, 70, and 65 ounces. If you include a package that weighs 155 ounces, which will increase more, the median or the mean?

Answers

Answer:

Neither, they increase by the exact same amount.

Step-by-step explanation:

With the first data set you have a mean of 50 and a median value of 50 as well because to find a median of an even set of numbers you take the two middle values and average them together, in this case being 35 and 65 averaging out to 50. Adding 155 to this data set increases the mean to 65 and the median value to 65 as well, making this a trick question because the increase is the exact same.

Trigonometry question! NEED HELP ASAP

Answers

Answer:

12.3 = y

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos 35 = y/15

15 cos 35 = y

12.28728066 = y

To the nearest tenth

12.3 = y

Solve the problem.When exposed to ethylene gas, green bananas will ripen at an accelerated rate. The number of days for ripening becomes shorter for longer exposure times. Assume that the table below gives average ripening times of bananas for several different ethylene exposure times. Plot the data and then find a line approximating the data. With the aid of this line, determine the rate of change of ripening time with respect to the exposure time. Round your answer to two significant digits.

Answers

The table and the plotted data are in the attachment.

Answer and Step-by-step explanation: A line of best fit is the best approximation of the given data. It is used to show the relation of two variables and it can be determined, more accurately, by the Least Square Method.

To use the method, follow the steps:

1) Calculate the mean of the two variables:

[tex]X = \frac{\Sigma x_{i}}{n}[/tex]

[tex]Y=\frac{\Sigma y_{i}}{n}[/tex]

2) The Slope of the line is given by:

[tex]m=\frac{\Sigma (x_{i}-X)(y_{i}-Y)}{\Sigma (x_{i}-X)^{2}}[/tex]

3) The y-intercept is found by the formula:

[tex]b=Y-mX[/tex]

For the ripening of bananas, the least square method gives the line:

y = -0.142x + 5.56

The rate of change of a line equation is its slope, so

Rate of change = -0.14

The rate of change of ripening time with respect to exposure time is -0.14, which means the more expose the fruit is, the less time it needs to ripe.

Two co- interior angles are in the ratio 5:7 find the angles ​

Answers

Answer:

75°

105°

Step-by-step explanation:

Two co-interor= 180°

5+7= 12

ratio12= 180°

{find the other ratios, 5 and 7)

12=180°

5×180÷12 = 75°

To find 7, just subtract 180-75= 105°

Which of the following is a step in simplifying the expression x multiplied by y to the power of 4 over x to the power of negative 5 multiplied by y to the power of 5, the whole to the power of negative 3.? x to the power of negative 3 multiplied by y, the whole over x to the power of negative 8 multiplied by y to the power of 2. x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of negative 5 multiplied by y to the power of 5. x to the power of negative 3 multiplied by y, the whole over x to the power of negative 5 multiplied by y to the power of 5. x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of 15 multiplied by y to the power of negative 15.

Answers

Answer:

x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of 15 multiplied by y to the power of negative 15.

Step-by-step explanation:

Given is expression below to be simplified:

(xy⁴/x⁻⁵y⁵)⁻³

The step in simplifying is the power of the power, which is equal to product of powers: (xᵃ)ᵇ = xᵃᵇ. So, power of  -3 of the whole equals to:

(x⁻³y⁻¹²)/(x¹⁵y⁻¹⁵)

This expression is same as the last option:

x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of 15 multiplied by y to the power of negative 15.

So, this is the correct one.

Answer:

other answer was correct

Step-by-step explanation:

find the unknown angles. please help

Answers

Answer:

60°, 60°, 60°

Step-by-step explanation:

Since, two side of the given triangle are congruent l. Therefore, measures of both the interior angle will be equal.

By remote interior angle theorem:

120° = x + x

120° = 2x

120°/2 = x

60° = x

Third angle = 180° - 120° = 60°

Hence measure of all the three angles of the triangle are 60°, 60° and 60°

For which equation would x=12 be a solution? x+12=30 15+×=15 x+5=18 12+×=24

Answers

Answer:

12+x=24

Step-by-step explanation:

To do this you would just plug in 12 for x to each equation and when you do that the only one that would be right would be 12+x=24

Hi there! Hopefully this helps!

-----------------------------------------------------------------------------------------------------

Answer: 12 + x = 24~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

x + 12 = 30

x = 18.

---------------------------------

15 + x = 15.

x = 0

---------------------------------

x + 5 = 18

x = 13

---------------------------------

12 + x = 24x = 12

Find the exact trigonometric ratios for the angle x whose radian measure is given. $$\frac{3 \pi}{4} $$

Answers

Answer:

Step-by-step explanation:

Before we can determine the exact trigonometric ratios for the angle x whose radian measure is given as [tex]\dfrac{3\pi}{4}[/tex], we need to first determine the quadrant the angle falls into.

The angle [tex]\dfrac{3\pi}{4}[/tex] = [tex]\dfrac{3*180}{4} = 135^0[/tex] and it falls in the second quadrant. since the angle is positive, we will use the trigonometry ratio that is positive in the second quadrant. The trigonometry ratio that is positive in the second quadrant is sin(x) while others are negative.

[tex]sin \frac{3\pi}{4} = sin (\pi - \frac{\pi}{4} ) = sin\frac{\pi}{4} = \frac{1}{\sqrt{2} } \\cos \frac{3\pi}{4} =cos (\pi - \frac{\pi}{4} ) = -cos\frac{\pi}{4} = -\frac{1}{\sqrt{2} } \\tan \frac{3\pi}{4} = tan (\pi - \frac{\pi}{4} ) = -tan\frac{\pi}{4} = -1[/tex]


Can someone tell me the answers and show how you did it step by step with the parentheses and everything?

Answers

Step-by-step explanation:

Following B. O. D. M. A. S rule :

= { [ 8 / 2] ^2 - 6} * (-2)

= { 4 ^ 2 - 6} * - 2

= 10 * - 2

= - 20

Answer:

Solution : - 20

Step-by-step explanation:

We have the following expression to simplify,

[tex]\left\{\left[\frac{\left(3+5\right)}{2}\right]^2-\left(3\cdot 2\right)\right\}\cdot \left(-2\right)[/tex]

Let's start by simplifying simple expressions, such as 3 + 5 = 8 and 3 * 2 = 6. Substituting we receive,

[tex]\left\{\left[\frac{\left(8\right)}{2}\right]^2-\left(6\right)\right\}\cdot \left(-2\right)[/tex]

8 / 2 = 4, and 4² = 16 -

[tex]\left\{16-\left(6\right)\right\}\cdot \left(-2\right)[/tex]

And of course 16 - 6 = 10, simplifying the expression to " - 2 [tex]*[/tex] 10 " leaving us with a solution of - 20.

Find the distance represented by 4.9 inches is 1 inch =50

Answers

Answer:

distance = 245 in

Step-by-step explanation:

1 in = 50

distance = 4.9 in x 50

distance = 245 in

Answer: 245 miles

Step-by-step explanation:

fg

What is the volume of a sphere with a diameter of 12 cm.

Answers

Answer:

288π cm³, 904.32 cm³, and 904.778683 cm³

Step-by-step explanation:

The volume of a sphere can be found using the following formula.

[tex]V=\frac{4}{3} \pi r^3[/tex]

We are given the diameter, so we must find the radius.

The radius is half of the diameter.

r= d/2

The diameter is 12 cm.

r= 12 cm/2

r= 6 cm

The radius is 6 centimeters. Let's return to the formula and substitute 6 cm in for r.

[tex]V=\frac{4}{3} \pi (6cm)^3[/tex]

Evaluate the exponent.

[tex](6 cm)^3= 6 cm * 6 cm * 6cm = 36 cm^2 * 6cm= 216 cm^3[/tex]

[tex]V=\frac{4}{3} \pi * 216 cm^3[/tex]

Multiply 4/3 and 216 cm^3

[tex]V= (\frac{4}{3} * 216 cm^3)\pi[/tex]

In terms of pi:

[tex]V= 288\pi cm^3[/tex]

Using 3.14 as pi:

[tex]V= 288 \pi cm^3[/tex]

[tex]V= (288 * 3.14) cm^3[/tex]

[tex]V= 904.32 cm^3[/tex]

Using 3.14159265 as pi:

[tex]V= 288 \pi cm^3[/tex]

[tex]V= (288 * 3.14159265) cm^3[/tex]

[tex]V=904.778683 cm^3[/tex]

The volume of the sphere is 288π cm³, 904.32 cm³, and 904.778683 cm³

Answer:

Volume of sphere by formula is V= 4/3πr^3

Since d= 12

Then r = d/2

Radius = diameter / 2

r = 12/2

r = 6

V = 4/3 x 22/7 x 6^3

V = 1.33 x 3.14 x 216

V = 902.1cm^3....

Thanks

Convert the angle θ=29π/15 radians to degrees

Answers

Answer:

The answer is

[tex] 348\degree[/tex]

Step-by-step explanation:

To convert any angle from radians to degrees multiply that angle by

[tex] \frac{180 \degree}{\pi} [/tex]

So for the above angle in the question we have

[tex] \frac{29\pi}{15 } \times \frac{180}{\pi} [/tex]

Reduce the fraction with π

That's

[tex] \frac{29}{15} \times 180 \\ = \frac{5220}{15} [/tex]

We have the final answer as

[tex]\theta \: = 348\degree[/tex]

Hope this helps you

4,336 is 10 times as much as?

Answers

Answer:

433.6

Step-by-step explanation:

the product of a number and 9

Answers

Answer:

9x

Step-by-step explanation:

let's say that x is the number we don't know

the product means multiplication

9*x=9x

so the answer is 9x

Answer:

[tex]\Huge \boxed{9x}[/tex]

Step-by-step explanation:

Let the unknown number be x.

The product of x and 9.

The product refers to multiplication.

[tex]x \times 9[/tex]

How do you simplify x-2/2-x?

Answers

Answer:

-1

Step-by-step explanation:

Simplify the following:

x - 2/2 - x

Hint: | Reduce (-2)/2 to lowest terms. Start by finding the GCD of -2 and 2.

The gcd of -2 and 2 is 2, so (-2)/2 = (2 (-1))/(2×1) = 2/2×-1 = -1:

x + -1 - x

Hint: | Group like terms in x - 1 - x.

Grouping like terms, x - 1 - x = (x - x) - 1:

(x - x) - 1

Hint: | Look for the difference of two identical terms.

x - x = 0:

Answer:  -1

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KEPLER (quoted in The Anatomy of Melancholy) BOOK ONE: THE COMING OF THE MARTIANS CHAPTER ONE: THE EVE OF THE WAR, excerpt No one would have believed in the last years of the nineteenth century that this world was being watched keenly and closely by intelligences greater than man's and yet as mortal as his own; that as men busied themselves about their various concerns they were scrutinised and studied, perhaps almost as narrowly as a man with a microscope might scrutinise the transient creatures that swarm and multiply in a drop of water. With infinite complacency men went to and fro over this globe about their little affairs, serene in their assurance of their empire over matter. It is possible that the infusoria under the microscope do the same. No one gave a thought to the older worlds of space as sources of human danger, or thought of them only to dismiss the idea of life upon them as impossible or improbable. It is curious to recall some of the mental habits of those departed days. At most terrestrial men fancied there might be other men upon Mars, perhaps inferior to themselves and ready to welcome a missionary enterprise. Yet across the gulf of space, minds that are to our minds as ours are to those of the beasts that perish, intellects vast and cool and unsympathetic, regarded this earth with envious eyes, and slowly and surely drew their plans against us. And early in the twentieth century came the great disillusionment. Yet so vain is man, and so blinded by his vanity, that no writer, up to the very end of the nineteenth century, expressed any idea that intelligent life might have developed there far, or indeed at all, beyond its earthly level. Nor was it generally understood that since Mars is older than our earth, with scarcely a quarter of the superficial area and remoter from the sun, it necessarily follows that it is not only more distant from time's beginning but nearer its end. The secular cooling that must someday overtake our planet has already gone far indeed with our neighbour. Its physical condition is still largely a mystery, but we know now that even in its equatorial region the midday temperature barely approaches that of our coldest winter. Its air is much more attenuated than ours, its oceans have shrunk until they cover but a third of its surface, and as its slow seasons change huge snowcaps gather and melt about either pole and periodically inundate its temperate zones. That last stage of exhaustion, which to us is still incredibly remote, has become a present-day problem for the inhabitants of Mars. The immediate pressure of necessity has brightened their intellects, enlarged their powers, and hardened their hearts. And looking across space with instruments, and intelligences such as we have scarcely dreamed of, they see, at its nearest distance only 35,000,000 of miles sunward of them, a morning star of hope, our own warmer planet, green with vegetation and grey with water, with a cloudy atmosphere eloquent of fertility, with glimpses through its drifting cloud wisps of broad stretches of populous country and narrow, navy-crowded seas. And we men, the creatures who inhabit this earth, must be to them at least as alien and lowly as are the monkeys and lemurs to us. The intellectual side of man already admits that life is an incessant struggle for existence, and it would seem that this too is the belief of the minds upon Mars. Their world is far gone in its cooling and this world is still crowded with life, but crowded only with what they regard as inferior animals. To carry warfare sunward is, indeed, their only escape from the destruction that, generation after generation, creeps upon them. 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