Select all the prime numbers.
3
9
13
23
33​

Answers

Answer 1

Answer:

Prime Numbers: 3,13,23,33

Composite Number: 9

Step-by-step explanation:

If a number has only 2 factors 1 and itself, then the number is prime


Related Questions

A casino only has red playing chips for $10 each and blue playing chips for $5 each. Jack paid $400 to purchase 50 playing chips at the cashier's window. How many red playing chips were given to him?

Answers

The number of red playing chips that were given to him is 30.

How to calculate the number of red chips?

Let the red chips be illustrated as r.

Let the blue chips be illustrated as b

The appropriate equation to solve the question will be:

r + b = 50.......... i

10r + 5b = 400 ......... ii

From equation i, r = 50 - b.

Put the value of r into equation ii

10r + 5b = 400

10(50 - b) + 5b = 400

500 - 10b + 5b = 400

500 - 5b = 400

Collect like terms

5b = 500 - 400

5b = 100

Divide

b = 100/5

b = 20

Therefore, red chips will be:

r = 50 - b

r = 50 - 20

r = 30

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use green's theorem to evaluate the line integral along the given positively oriented curve. c cos(y) dx x2 sin(y) dy c is the rectangle with vertices (0, 0), (3, 0), (3, 1), (0, 1)

Answers

30(1-cos2) is the evaluated line integral along the given positively oriented curve.

What is Green's Theorem?

Green's theorem is mostly utilized to evaluate the line integral of a single direction and a curved plane. The link between a line integral and a surface integral is demonstrated by this theorem. It is connected to several theorems, including the Gauss theorem and the Stokes theorem.

To integrate the derivatives in a certain plane, one uses Green's theorem. This thesis can be employed to transform a given line integral into a surface integral, double integral, or conversely.

One of the four calculus foundational theorems, all 4 of whom are intimately connected to one another, is the Green's theorem.

How to solve?

By Green's theorem, we have

∫c (cist dx + x² siny dy ) = ∫∫r [μ(x²siny)/μx - μcosy/μy dxdy

where C is the *boundary* of the rectangle .

The integral is then

=(cos0 -cos2)∫(5,5)(2x +1)dx

=(1-cos2)(5²+5)

=30(1-cos2)

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true or false: with a well-designed sample survery, the sample percentage is very likely to equl the population percentage

Answers

This sentence is False, when the sample size is small, the sample percentage may not be equal to the population percentage.

In demographics, the sector population is the overall quantity of human beings presently residing. It turned into predicted by the United countries to have exceeded eight billion in November 2022. It took over 2 hundred,000 years of human prehistory and history for the human populace to attain one billion and only 219 years extra to attain 8 billion.

The human population experienced a non-stop boom following the Great Famine of 1315–1317 and the end of the Black dying in 1350 when it became nearly 370,000,000. the very best worldwide populace growth quotes, with increases of over 1.8% in line with 12 months, took place between 1955 and 1975, peaking at 2.1% between 1965 and 1970. The increased charge declined to one.1% between 2015 and 2020 and is projected to say no further within the twenty-first century. the worldwide population continues to increase, however, there's sizable uncertainty approximately its long-term trajectory due to converting fertility and mortality fees. The UN Department of Economics and Social Affairs tasks between 9 and 10 billion people by 2050 and offers an 80% self-assurance c language of 10–12 billion by using the cease of the twenty-first century, with a growth charge by using then of zero. other demographers are expecting that the human populace will start to decline in the 2d half of the 21st century.

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What is (-3 3/4) - (-2 1/4)?

Answers

First, you want to rewrite the expression like…
(-15/4) - (-9/4)

Since theres a common denominator, just solve the equation…
-15/4 + 9/4

= -3/2 OR -1 1/2

nebraska, the home of the amc, changed its license plate scheme. each old license plate consisted of a letter followed by four digits. each new license plate consists of three letters followed by three digits. if $a$ is the number of possible license plates in the old scheme and $b$ is the number of possible license plates in the new scheme, what is the value of $b/a$? express your answer as a decimal to the nearest tenth.

Answers

The value of b/a of the number plates is 0.0

What is decimal?

Decimals with the same number of decimal places are referred to as like decimals (after the decimal point). For instance, because both 2.33 and 4.52 include up to two decimal places, they are similar to decimals. Likely decimals are those that do not have the same number of decimal places (after the decimal point).

What are the 3 types of decimals?

Decimal fractions and recurring (repeating or non-terminating, like) decimals are the three different types of decimals.

According to the above question

26 x 10000 = 260,000

If letter and digit repeats are allowed, the number of license plates that can be created under the new system is (26)3 * 1000 = 17,576, 000.

In other words, 260,000 / 17,576,000 = 0.0148, which, when rounded to the nearest tenth, equals 0!

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The true average diameter of ball bearings of a certain type is supposed to be 0.5 in. A one-sample t test will be carried out to see whether this is the case. What conclusion is appropriate in each of the following situations? (a) n 15 t 1.66 a 0.05 o Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in o Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in o Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in o Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in

Answers

The null hypothesis must be rejected as there is enough evidence that the diameter differs from 0.5 inches.

Given values are

The population mean is  0.5 inches

The Null hypothesis is  : H₀ : μ = 0.5 inches

The Alternative hypothesis is  given by Hₐ : μ ≠ 0.5 inches

Now let us consider the parameter given:

sample size is  n =  15  

test statistics is  t =  1.66

The level of significance : α = 0.05

The degree of freedom: df = n-1 = 15 -1 =14

Calculating the critical value : [tex]t_\frac{\alpha}{2} ,df[/tex] = 2.145

We are using the critical value of [tex]t_\frac{\alpha}{2}[/tex] as the test is one-tailed .

Comparing the value of  t and [tex]t_\frac{\alpha}{2}[/tex] we can see that : [tex]t < t_\frac{\alpha}{2}[/tex]

Hence the null hypothesis can be rejected.

Given that the value of t does not fall within the range covered by (i.e., the range from -2.145 to the bottom of the normal distribution curve), we are unable to reject the null hypothesis.

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the mean score of 888 players in a basketball game was 14.514.514, point, 5 points. if the highest individual score is removed, the mean score of the remaining 777 players becomes 121212 points. what was the highest score?

Answers

The highest score is 12794706708

What is mean ?

The average of a set of data is referred to as the mean in statistics and arithmetic. The simple arithmetic mean, geometric mean, and harmonic mean are some of the methods that can be used to calculate the mean. The basic arithmetic mean involves adding the numbers together and dividing the result by the number of observations.

At first (remaining + top player) /888 = 14514514

So remaining + top = 12888888432

Now after removing top

Remaining/777 = 121212

Remaining = 94181724

So top = 12888888432 - 94181724

           = 12794706708

12794706708 is the score of the top player

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Please help me with this question. I need it immediately, and it is Grade 7 math.

Answers

To meet the goal, the tree must be at least 250 centimeters tall. This will take at least 10 years. Then the correct option is B.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Scott has a tree in his lawn. The tree grows 25 centimeters every year. Since the tree began developing, Scott has managed 16 centimeters off its level. The objective for the tree's level is given by 25x - 16 ≥ 234, where x is the quantity of years the tree develops.

Simplify the inequality, then we have

25x - 16 ≥ 234

25x ≥ 234 + 16

25x ≥ 250

x ≥ 10

To meet the goal, the tree must be at least 250 centimeters tall. This will take at least 10 years. Then the correct option is B.

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when 40 is subtracted from the square of a number, the result is 3 times the number. Find the positive solution.​

Answers

Answer:

5

Step-by-step explanation:

Let x be that number.

(x^2) - 40 = 3x

x^2 - 40 = 3x

x*2-3x-40=0

(x-5)(x+8)=0

x=5

5/8 = 8/x

A.5
B.64
C.0.2
D.12.8

Answers

Answer: It's 64

Hope this helps!

Directions: Graph and label each figure and its image under the rotation about the given point. Give the
coordinates of the image.
Parallelogram ABCD with vertices A(6, 8), B(10, 9), C(9. 3).
and D(5, 2): 90° counterclockwise rotation about P(4, 1)

Answers

Answer:

See below

Step-by-step explanation:

This is a hard to explain without showing you, if it does not make sense it is not you, it is just hard to explain without showing you.

PLEASE HELP!!

GIVE A LOT OF POINTS IF HELP!!!!!

CAULATE IT PLEASEEEEEEEEEEEEEEEEEEE!!!!!!!!! GIVE BRAINLISTT!!

HELP CUALATE THE SQUARE ROOT

Answers

Answer: There are no values that make the equation true  .  No solution

A researcher wishes to see if there is a difference in the cholesterol levels of two groups of men. A random sample of 30 men between the ages of 25 and 40 is selected and tested, the average cholesterol level was 223 with standard deviation of 6.1. A second sample of 25 men between ages of 41 and 56 is selected and tested, the average cholesterol level for this group was 229 with standard deviation of 5.8. Assume the populations are normally distributed and the population standard deviation are unequal.

A. At [tex]\alpha = 0.01[/tex], is there a difference in the cholesterol levels between the two groups? Use traditional method.

B. Use confidence interval to verify your answers in (A).

Answers

a. There is a difference in the cholesterol levels between the two groups.

b. The confidence interval for the differences is of (1.7, 10.3), not containing 0 and thus verifying what was found in item a.

What are the hypothesis tested?

At the null hypothesis, it is tested that there is no difference, that is, the mean of the subtraction is of zero, hence:

[tex]H_0: \mu_d = 0[/tex]

At the alternative hypothesis, it is tested if there is a difference, that is, the mean of the subtraction is different of zero, hence:

[tex]H_1: \mu_d \neq 0[/tex]

We have a two-tailed test, as we are testing if the mean is different of value, with 30 + 25 - 2 = 53 df, with a significance level of 0.01, hence the critical value is of:

t = 2.6718

Hence the decision rule, considering the test statistic t, is given as follows:

|t| < 2.6718: do not reject the null hypothesis -> not enough evidence to conclude that there is a difference.|t| > 2.6718: reject the null hypothesis -> enough evidence to conclude that there is a difference.

What are the mean and the standard deviation of the distribution of differences?

For each sample, the mean and the standard error are given as follows:

Sample 1: [tex]\mu_1 = 223, s_1 = \frac{6.1}{\sqrt{30}} = 1.1137[/tex].Sample 2: [tex]\mu_2 = 229, s_2 = \frac{5.8}{\sqrt{25}} = 1.16[/tex].

Hence the mean and the standard error for the distribution of differences is given as follows:

Mean: [tex]\overline{x} = \mu_2 - \mu_1 = 229 - 223 = 6[/tex].Standard Error: [tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{1.1137^2 + 1.16^2} = 1.61[/tex]

What is the test statistic?

The test statistic is obtained as the division of the sample mean by the standard error, hence:

t = 6/1.61

t = 3.73.

t > 2.6718, hence the null hypothesis is rejected, and there is a difference in the cholesterol levels between the two groups.

What is the confidence interval?

The confidence interval is obtained as the sample mean plus/minus the multiplication of the standard error and of the critical value.

Hence the lower bound of the confidence interval is of:

6 - 2.6718 x 1.61 = 1.7.

The upper bound is of:

6 + 2.6718 x 1.61 = 10.3.

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The graph shows a scatter plot for a set of data. Scatter plot with x-axis labeled year and y-axis labeled megawatts. The 18 points plotted are 1982 and 76.2, 1983 and 50.6, 1984 and 46.4, 1985 and 35.5, 1986 and 31.1, 1987 and 26.1, 1988 and 21, 1989 and 15.6, 1990 and 14.9, 1991 and 13.8, 1992 and 13, 1993 and 13, 1994 and 10, 1995 and 10, 1996 and 7, 1997 and 6.9, 1998 and 6.6, and 1999 and 6.
What type of correlation exists? Is the model linear or non-linear?
The graph shows a negative correlation, and it is a linear model.
The graph shows a positive correlation, and it is a linear model.
The graph shows a negative correlation, and it is a non-linear model.
The graph shows a positive correlation, and it is a non-linear model.

Answers

The graph shows a negative correlation, and it is a non-linear model.

What is positive and negative correlation?

When two variables behave in unison, rising or falling in lockstep with one another, there is a positive correlation. When two variables move in opposition to one another—that is, when one rises, the other falls—this is known as a negative correlation.

As given data from the graph, y values goes decrease with increasing x values.

So, we can conclude that the graph shows a negative correlation.

And, the given data in the graph are not linear.

Hence, the graph shows a negative correlation, and it is a non-linear model.

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Answer:

The graph shows a negative correlation, and it is a non-linear model.

Step-by-step explanation:

What multiplication facts can be found by using the arrays for 5x6 and 2x6

Answers

The multiplication of the two arrays will be 360.

What is multiplication?

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

The given arrays of the numbers are 5x6 and 2x6. The multiplication of the two numbers will be done as,

M = ( 5 x 6 ) x ( 2 x 6 )

Multiply both the numbers and solve,

M = 30 x 12

M = 360

Therefore, the multiplication of the two arrays will be 360.

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Can someone help me? (again and it wont be the last)

Answers

Answer:  sure I just need to know what you need help with to help you

Step-by-step explanation:

A pterodactyl could fly 75 miles in 3 hours. At this rate, how far could a pterodactyl travel in 5 hours?

A pterodactyl could fly 75 miles in 3 hours. At this rate, how far could a pterodactyl travel in 5 hours?

Answers

Answer:

125 miles

Step-by-step explanation:

75/3 to find the distance in 1 hour=25

25x5=125

Answer:

125 miles

Step-by-step explanation:

75/3 to find the distance in 1 hour=25

25x5=125

Select ALL the correct answers.
The graph shows a linear relationship.



Select all the true statements.

A right triangle with its hypotenuse along the line from (4,2) to (8,4) has legs measuring 4 units and 2 units.
A right triangle with its hypotenuse along the line from (2,1) to (4,2) has legs measuring 3 units and 1 unit.
A right triangle with its hypotenuse along the line from (2,1) to (4,2) has legs measuring 2 units and 1 unit.
A right triangle with its hypotenuse along the line from (2,1) to (6,3) has legs measuring 4 units and 1 unit.
A right triangle with its hypotenuse along the line from (4,2) to (8,4) has legs measuring 4 units and 3 units.

Answers

The true statements regarding the linear function are given as follows:

A right triangle with its hypotenuse along the line from (4,2) to (8,4) has legs measuring 4 units and 2 units.A right triangle with its hypotenuse along the line from (2,1) to (4,2) has legs measuring 2 units and 1 unit.

What is correct regarding the linear function?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the coefficients of the function are given as follows:

m is the slope of the function, representing the rate of change.b is the y-intercept of the function, representing the value of y when the function crosses the y-axis.

In this problem, the function crosses the y-axis at the origin, hence the intercept is given as follows:

b = 0.

When x increases by one, y increases by 2, hence the slope is of:

m = 2.

Considering the slope, it means that the ratio of the legs of the right triangle with it's hypotenuse along the line is of 2.

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Benjamin invested $20,000 in an account paying an interest rate of 7&5/8 % compounded monthly. Kehlani invested $20,000 in an account paying an interest rate of 7&3/4 compounded quarterly. After 10 years, how much more money would Kehlani have in her account than Benjamin, to the nearest dollar?

Answers

If Benjamin invested $20,000 in an account paying an interest rate of 7&5/8 % compounded monthly. The amount of money that Kehlani have in her account than Benjamin is: $322.83.

How to find the compounded amount?

Using this formula to find the compounded amount

A = P(1+r/n)^nt

Where

A = Amount

r =Interest rate.

n =Number of years

P =Principal

Benjamin

P = $20,000

r = 7 5/8% = 7.625% = 0.07625

n = 12 months

t = 10 years

Hence,

A = 20,000 (1+0.07625/12)^12× 10

A = 20,000 (1+0.006354)^120

A = 20,000 (1.006354)^120

A = $42,768.42

Kehlani

P = $20,000

r = 7 3/4% = 7.75= 0.0775

n = 4 months

t = 10 years

Hence,

A = 20,000 (1+0.0775/4)^4× 10

A = 20,000 (1+0.019375)^40

A = 20,000 (1.019375)^40

A = $43,091.25

Difference:

Difference = $43,091.25 - $42,768.42

Difference = $322.83

Therefore the amount of money is $322.83.

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Answer:322

Step-by-step explanation:

1/4 t + 4 = 3/4 (t + 8)

Answers

Answer:    T= -4

Step-by-step explanation: Well i guess it would be that ? If it's not sorry but it should be that



Priya and Han each wrote an equation of a line with slope 1/2 that passes through the point (1,2) Priya's equation is y-2=1/3(x-1) and Han's equation is 3y - x = 5. Do you agree with either of them?

Explain or show your reasoning

Answers

Both Priya's equation and Han's equation are wrong . So , I don't agree with either of them

Slope-intercept form of equation of line is y =mx + b

where m is a slope of line

b is y-intercept

According to the question,

Slope of line is given as 1/2

m = 1/2

Putting the value of m in equation of line

y = 1/2 x + b --------(1)

It is given that line(1) passes through (1,2)

so, x = 1 and y = 2

Substituing the value of x and y in equation (1)

2 = 1/2 +b

Multiplying by 2 both sides

4 = 1 + 2b

=> 2b = 3

=> b = 3/2

substituting the value of b

Equation of line is y = 1/2 x + 3/2

=> 2y = x + 3

Therefore, Both Priya's equation and Han's equation are wrong

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please helpppp!!! !!

Answers

Hope this helps you

consider carrying out m tests of hypotheses based on independent samples, each at significance level (exactly) 0.01. (a) what is the probability of committing at least one type i error when m

Answers

The probability of committing when at least one type I error at a significance level (exactly) 0.01 at m = 11 is equivalent to 0.1047.

Given that:

The hypotheses are based on independent samples with each at a 0.01 level of significance.

We know that:

P (at least one type I error is committed) = 1 - [P (No error -  type I error is committed)]^m

P (at least one type I error is committed) = 1 - [(1 - 0.01)]^11

P (at least one type I error is committed) = 1 - [0.99]^11

P (at least one type I error is committed) = 1 - 0.8953

P (at least one type I error is committed) = 0.1047

So, the probability of committing when at least one type I error is equivalent to 0.1047.

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a) How many prime numbers are multiples of 5?
b) How many prime numbers are multiples of 8?​

Answers

Answer:

afternoon and

a) =1

Step-by-step explanation:

because there is only one prime number in multiples of 5 that is 5

d) 1

please help, i don't know what to do

Answers

Answer: x = 42

Step-by-step explanation:

A rectangular box has a square base. Its height is half the width of the base. Find a function that models its volume v in terms of its width w.

Answers

The function that models the volume of  a rectangular box in terms of width is (lw²)/2.

What is the volume of rectangle-based solids?

The basic formula for volume is length×width, whereas the basic formula for area of a rectangular shape is length×width×height.

Given: The base of a rectangular box is square. Half of the base's width is its height.

Let,

length = w (since it has a square base)

width = w

height = w/2

Volume of a rectangular box = length×width×height

                                               V = w×w×(w/2)

                                            V  = (lw²)/2

Therefore, the function that models the volume of  a rectangular box in terms of width is (lw²)/2.

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Find the volume.
2ft 2ft 2ft

Answers

Answer:

Volume = 2×2×2 = 8 feet3

Please help with this!

Answers

Answer:

∠KIH ≅ ∠IKJ

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

We can see three marked angles in the diagram.

One of them marked with the small square, it means this is a right angle.

The other two are marked with 3 small parallel curves, it means they are congruent:

∠KIH ≅ ∠IKJ,

You can name them differently but it doesn't change angles:

∠HIK ≅ ∠JKI.

Solve for b.
5/b = 45/36
b = ?

Answers

Answer:

b = 4

Step-by-step explanation:

Step 1: Divide 45 by 36 on the right side

    1. 5/b = 1.25

Step 2: Multiply both sides by b and flip the equation

    2. 1.25b = 5

Step 3: Divide both sides by 1.25

    3. b = 4

[tex]\fbox{b=4}[/tex]

Cross multiply:

[tex]\dfrac{5}{b} =\dfrac{45}{36}[/tex]

[tex](5)\times(36)=45\times(b)[/tex]

[tex]180=45b[/tex]

Flip the equation:

[tex]45b=180[/tex]

Divide both sides by 45:

[tex]\dfrac{45b}{45} =\dfrac{180}{45}[/tex]

[tex]b=4[/tex]

chegg suppose 60% of all college professors like tennis, 65% like bridge, and 50% like chess; 45% like any given pair of recreations. (a) should you be suspicious if told 20% like all three recreations?

Answers

If you are told 20% of people prefer all three forms of recreation is 60 when 60% of all college professors enjoy tennis, 65% enjoy bridge.

Given that,

Assume that 60% of all college professors enjoy tennis, 65% enjoy bridge, 50% enjoy chess, and 45% enjoy any certain pair of recreational activities.

We have to find if you are told 20% of people prefer all three forms of recreation, should you be suspicious.

We know that,

Let the total professors be  =100

n(tennis) = 60

n( bridege) = 65

n( chess)= 50

n( T U B) = 45, n(BU C) = 45, n(T UC)=45

n( T UBUC)= n(T) + n(B) + n(C) - n( T U B) - n( BU C) - n(TUC) + n(T∩B∩C)

100 = 60 + 65 + 50 - 45-45-45 +n(T∩B∩C)

n(T∩B∩C)=60

Therefore, If you are told 20% of people prefer all three forms of recreation is 60 when 60% of all college professors enjoy tennis, 65% enjoy bridge.

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O Yes O No refer to explorations in literature for a complete version of this narrative. which details from "nameless, tennessee" by william least heat moon show that the residents lives are simple but meaningful? within the deep cold zone, average temperature and salinity . a. remain fairly constant with depth. b. increases and decreases, respectively. c. decrease with depth. d. increase with depth. The cell membrane ___________.Group of answer choicesA. helps to protect the cellB. produces glucoseC. produces energyD. keep the internal conditions of the cell stable There are 1,200 bacteria in a lab dish. The population decreases 10% per day. Calculate the average rate of change in the decrease in population for days 1 to 3 with the decrease for days 4 to 6. Answer the following questions in complete sentences.1.What is the direct effect of this type of weathering?How does freeze-thaw weathering occur in a glacler?What can be the results from abrasion?2.3. How does deposition form from a glacier? What are two landforms that can be formed from glacial deposits? a client is hospitalized when presenting to the emergency department with right-sided weakness. within 6 hours of being admitted, the neurologic deficits had resolved and the client was back to his presymptomatic state. the nurse caring for the client knows that the probable cause of the neurologic deficit was what? if visibility is the primary campaign goal, which bidding strategy would be the most effective for an advertiser to use? an after-school care center allows children to browse the internet. they want to limit the websites that the children can access. which of the following network hosts would most likely provide this service? Large firms may create a secure website known as a ____________ to link to suppliers and key business partners. Which two sentences best state the author's thesis?from Canyons of the Coloradoby John Wesley PowellThe wonders of the Grand Canyon cannot be adequately represented in symbols of speech, nor by speech itself. The resources of the by visual artsare taxed beyond their powers in attempting to portray its phenomenal beauty. Language and illustration combined must fail. The elements that uniteOmake the Grand Canyon the most sublime spectacle in nature are many and exceedingly diverse. The giant forms, which result from the sculpture oftempests through ages too long for man to compute, are wrought into endless details. To describe these forms would be a task equal in magnitude tothat of describing the stars in the sky or the abundant beauties of the forest with its traceries of foliage presented by oak and pine and poplar, by beechand linden and hawthorn, by tulip and lily and rose, by fern and moss and lichen. Besides the elements of form, there are elements of color. Therainbow is not more replete with hues. But form and color do not exhaust all the divine qualities of the Grand Canyon. It is the land of music. The riverthunders in perpetual roar, swelling in floods of music when the storm rains play upon the rocks, and fading away in soft and low murmurs when theinfinite blue of the sky is unveiled. With the melody of the great tide rising and falling, swelling and vanishing forever, other melodies are heard in thegorges of the lateral canyons, while the waters plunge in the rapids among the rocks or leap in great cataracts. Thus, the Grand Canyon is a land ofsong. Mountains of music swell in the rivers, hills of music billow the creeks, and meadows of music murmur in the rills that ripple over the rocks.Altogether it is a symphony of diverse melodies. All this is the music of waters. The adamant foundations of the earth have been wrought into a sublimeharp, upon which the clouds of the skies play with mighty tempests or with gentle showers. The ability for street-level bureaucrats to decide who is more, or less, deserving of some government service or benefit is called. What is the measure of angle o in parallelogram lmno? 35 75 105 155 g capacity, the ability of the material/structure to safely resist load without breaking or damage, depends on? The Life and Opinions of the Tomcat Murr together with a fragmentary Biography of Kapellmeister Johannes Kreisler on Random Sheets of Waste Paper is a complex satirical novel by Prussian Romantic-era author E. T. A. Hoffmann. if your titration results in a magenta color, what is the limiting reactant and what is the excess reactant at that point? 10 students have volunteered for a committee. 7 of them are seniors and 3 of them are juniors. 1) how many ways are there to select a committee of 8 students? 10!/(8!2) 2) how many ways are there to select a committee with 3 seniors and 5 juniors? 7!/(3!/4!)*(3!/(5!/(2)!)) 3) suppose the committee must have 8 students (either juniors or seniors) and that one of the 8 must be selected as chair. how many ways are there to make the selection? How many words are in 1 paragraph essays? basil will produce tiny flowers if it is not kept trimmed back. after these tiny flowers are pollinated, they produce tiny seeds encased in a papery covering. basil is an example of a(n