John runs 15 miles in 3 hours. How many miles can John run per hour?

Answers

Answer 1
He can run 5 miles per hour
Answer 2

Answer:

5 yeet

Step-by-step explanation:


Related Questions

PLEASE HELPPPP!!!!!!!

Rectangle QRST has points at these coordinates:
Q(-9,2), R (1,2), S (1,-2), and T (-9,-2).
What is the length of QT? ​

Answers

Answer:

the length between them is 4

Step-by-step explanation:

from Q - T

both are at -9 so its a straight line.

the difference between -2 and 2 is 4

-2 , -1, 0, 1, 2,

Answer:

4

Step-by-step explanation:

Q and T are on the same line.

-9 is the x value for both points.

All you are left with is the distance between -2 and 2.

Subtract and take absolute value if you come up with a negative answer.

2 - -2 = 4

Beth needs to fertilize her flowerbed, which is in the shape of a regular pentagon. A bag of fertilizer states that it can fertilize up to 150 square feet, but Beth is not sure how many bags of fertilizer she should buy. Each side of the pentagon is 15 feet long

Answers

Answer: he should buy 3 bags

Step-by-step explanation:

In order to determine the area of the flower bed which has the shape of a Pentagon, we would apply the formula for determining the area of a polygon which is expressed as

Area = (perimeter × apotherm)/2

The apotherm is the perpendicular distance from the center of the polygon. The formula for determining the apotherm is

Apotherm = S/2tan(180/n)

Where

S = side length of the polygon

n = number of sides of the polygon.

From the information given,

S = 15 feet

n = 5

Apotherm = 15/2tan(180/5) = 10.3 ft

Perimeter = side length × number of sides

Perimeter = 15 × 5 = 75 ft

Therefore,

Area of the Pentagon = 75 × 10.3/2 = 386.25 ft²

A bag of fertilizer states that it can fertilize up to 150 square feet. Therefore, the number of bags that he can buy is

386.25/150 = 2.575 bags

He should buy approximately 3 bags

A parabola intersects the xxx-axis at x=3x=3x, equals, 3 and x=9x=9x, equals, 9.
What is the xxx-coordinate of the parabola's vertex?

Answers

Answer:

x=6

Step-by-step explanation:

Given the x-intercepts of a parabola: [tex]x_1=3, x_2=9[/tex]

The equation of symmetry at the parabola's vertex is x=h

Where [tex]h=\dfrac{x_1+x_2}{2}[/tex]

In this case,

[tex]h=\dfrac{3+9}{2}=6[/tex]

Therefore, the line of symmetry of the parabola is x=6 and is also the x-coordinate of the parabola's vertex.

The vertex of a parabola is the minimum or maximum point of  the parabola.

The x-coordinate of the vertex is 6

The intersection points are given as:

[tex]\mathbf{x_1 = 3,\ x_2 = 9}[/tex]

The x-coordinate of the parabola is calculated as:

[tex]\mathbf{x = \frac{1}{2}(x_1 + x_2)}[/tex]

So, we have:

[tex]\mathbf{x = \frac{1}{2}(3 + 9)}[/tex]

[tex]\mathbf{x = \frac{1}{2}(12)}[/tex]

Simplify

[tex]\mathbf{x = 6}[/tex]

Hence, the x-coordinate of the vertex is 6

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2/3 inches x 5 inches​

Answers

Answer:

10/3

Step-by-step explanation:

2/3 x 5 is really

2     x    5

3            1

when you multiply them separately  you will get 10 as your numerator and 3 as your denominator.

hope this helps!

victor wants to buy fertilizer for his yard. the yard measures 45 feet by 50 feet. the directions on the bag of fertilizer says that one bag will cover 1,220 sq ft. how many bags of fertilizer should victor buy to be sure that he cover the entire yard

Answers

Answer:

He'll need 2 bags to cover his yard.

Step-by-step explanation:

To solve this problem we first need to calculate the area of Victor's yard. It seemes by the dimmensions given that his yard have a rectangular shape, it's area is given by:

yard area = length*width

yard area = 45*50 = 2250 square feet

Since each bag will cover 1220 square feet, to calculate how many bags are needed for his yeard we need to divide the yard's area by the area each bag can cover. This is shown below:

number of bags = yard area/ bag area = 2250/1220 =1.84

Since he can't buy 0.84 bags we will round the number of bags to 2.

What is 1+1 but multiplied by 2?

Answers

Answer:4

Step-by-step explanation:1+1 is 2 and 2x2 is 4

How many more years will it take Inga to pay off the loan

Answers

Answer:the answer is 3 years or b

Step-by-step explanation:

I got it correct on ed 2021!

In circle N, KL ≅ ML.


What is the measure of Arc J M?


77°

90°

132°

154°

Answers

Answer:

es 132°

Step-by-step explanation:

KL ≅ ML, entonces triángulo KNL y NLM son similares ah Angle side Angle Theorom .

Entonces,{LNK ≅ LNM}

7x+7=8x-3 8x-7=7+3,x=10

13x+2=13*10+2=130+2=132°

La respuesta es 132°

Based on the relationship of the intercepted arcs of congruent chords, the measure of arc JM is: C. 132°.

What is the Measure of Intercepted Arcs of Equal Chords?

If two chords are congruent, then the corresponding arcs bounded by the chords will have equal measure too.

Thus, KL = LM, therefore:

7x + 7 = 8x - 3

Solve for x

7x - 8x = -7 - 3

-x = -10

x = 10

Arc JM = 13x + 2

Plug in the value of x

Arc JM = 13(10) + 2

Arc JM = 132°

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Point R on the coordinate grid below shows the location of a car in a parking lot. A second car needs to park 5 units above R to leave room for a utility truck. What are the coordinates of the location of the second car? (1, −2) (1, 3) (−4, −2) (−4, 3)

Answers

Answer:

Step-by-step explanation:

1,3

I need help ! It’s due today

Answers

Answer:we have the same thing,

Step-by-step explanation:medium,from end to middle

Answer:

Please give Branliest

1. minimum = 3

maximum = 9

median = 7

2. minimum = 8

maximum = 24

median = 15

3. minimum = 21

maximum = 40

median = 28

lower quartile =26

upper quartile = 24

Step-by-step explanation:

minimum is the lowest number in the set

maximum the highest number

to find the median, line the numbers up in order, and find the number in the middle that is the median

quartiles are the medians or middles of the numbers above the median or bellow

for example 21 26 27 28 33 34 40

the quartiles are 26 and 34

A crop scientist is conducting research with a drought resistant corn hybrid. She is interested in determining if using fertilizer X will increase yield. She prepares 20 single acre plots and randomly assigns 10 to have normal soil while the other 10 are planted with fertilizer X. The resulting average yield for each group of 10 plots was recorded.

Select all that apply.
Choose at least one answer.
1 This study is best described as an experiment.
2 The response variable is whether the corn plants had fertilizer X or not.
3 The explanatory variable is whether the corn plants had fertilizer X or not.
4 This is best described as an observational study.
5 The response variable is the average yield for each group of 10 plots.
6 The explanatory variable is the average yield for each group of 10 plots.

Answers

Answer:

1 This study is best described as an experiment.

5 The response variable is the average yield for each group of 10 plots.

Step-by-step explanation:

1) This study is best described as an experiment.

This is true. This experiment indicates that study of the crops with or without fertilizers

2) The response variable is whether the corn plants had fertilizer X or not.

No the response variable is the yield

3) The explanatory variable is whether the corn plants had fertilizer X or not.

Sort of The explanatory variable is the fertilizer the levels would be whether or not it had the fertilizer

4) This is best described as an observational study.

No because they had an influence of using a particular fertilizer and a particular plot of land

5) The response variable is the average yield for each group of 10 plots.

Here we are using the fertilizers in order to increasing the yield of the crops So it clearly shows that  growth of the  corn hybrid depends upon the fertilizers(dependent or response variable)

6) The explanatory variable is the average yield for each group of 10 plots.

No the explanatory variable is the fertilizer

Decide whether each equation is true for all, one, or no values of x. 6x − 4 = -4 + 6x

Answers

Answer:

True for all values of x

The given equation 6x − 4 = -4 + 6x, is true for all values of x.

so, we get, each equation is true for all values of x.

Here, we have,

The equation 6x - 4 = -4 + 6x can be simplified as follows:

Subtracting 6x from both sides, we get:

-4 = -4

This equation states that -4 is equal to -4,

which is true for all values of x.

The equation holds true regardless of the value of x.

Therefore, the given equation is true for all values of x.

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Hey ya'll don't scroll please, just look at the attachment and answer every single question please- thank you very much.


I need this done in 15 minutes so it would really really help. Also I have made my 11th account this week regarding this question so just please answer it for me- thanks girlie.

Answers

Answer:

a. is B b. is D

Step-by-step explanation:


Describe how a root can be written using a rational expression. Give an example.

Answers

Answer: To find the roots of a Rational Expression we only need to find the the roots of the top polynomial, so long as the Rational Expression is in "Lowest Terms". Lowest Terms means when the top and bottom of a fraction have no common factors.

     

Step-by-step explanation:

Answer:

√36 = 6

³√ 5 = 5 ^ ⅓

⁴√ 16 = 16 ^ ¼

= 2

Step-by-step explanation:

Mathematically, the square of a number, is the power of 2 to the base of that number, or the exponent 2 to the base of that number.

Such as :

The Square of 5.

=5²

= 5*5 = 25.

In thesame vain, the SQUARE of a number is to the power 2 of that number.

Hence, the SQUARE ROOT, of any number is the ROOT 2 , to that number. Such that:

Square roots of 5:

√5

= 5 ^½

√12

= 12 ^ ½

√36

= 36 ^ ½

= 6

For other expression other than 2, the rational expression will be a function of the value before the root.

Such that:

1. ³√5 = 5 ^ ⅓

2. ³√ 12 = 12 ^ ⅓

3. ³√8 = 8 ^ ⅓ = 2

4. ⁴√ 16 = 16 ^ ¼ = 2

5. ⁴√24 = 24 ^ ¼

The other goes on and on in that order

What are the exact solutions of x2 = 5x + 2? (1 point)
50 point ill give brainliest

Group of answer choices

x = x equals 5 plus or minus the square root of thirty-three all over 2

x = x equals negative 5 plus or minus the square root of thirty-three all over 2

x = x equals 5 plus or minus the square root of seventeen all over 2

x = x equals negative 5 plus or minus the square root of seventeen all over 2

Answers

Answer:

A. x equals 5 plus or minus the square root of thirty-three all over 2

Step-by-step explanation:

Let's move all the terms to one side:

[tex]x^2=5x+2[/tex]

[tex]x^2-5x-2=0[/tex]

Now, we want to use the quadratic formula, which states that for a quadratic equation of the form [tex]ax^2+bx+c=0[/tex], the roots can be found with the equation: [tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or [tex]x=\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex].

Here, a = 1, b = -5, and c = -2, so plug these in:

[tex]x=\frac{-(-5)+\sqrt{(-5)^2-4(1)(-2)} }{2(1)}=x=\frac{5+\sqrt{25+8} }{2}=\frac{5+\sqrt{33} }{2}[/tex]

OR

[tex]x=\frac{-(-5)-\sqrt{(-5)^2-4(1)(-2)} }{2(1)}=x=\frac{5-\sqrt{25+8} }{2}=\frac{5-\sqrt{33} }{2}[/tex]

Thus, the answer is A.

Hope this helps!

Answer:

First one:

x = x equals 5 plus or minus the square root of thirty-three all over 2

Step-by-step explanation:

x² = 5x + 2

x² - 5x - 2 = 0

Using quadratic formula:

x = [-(-5) +/- sqrt[(-5)² - 4(1)(-2)]/2(1)

x = [5 +/- sqrt(33)]/2

Click on the number until you find the right quotient. 36m5n5 ÷ (12m3)

9mn^2
7m^4n^2
3m^2n^5

Answers

So the answer is 3m^2n^5

Final answer:

To find the quotient of ([tex]36m^5n^5 \div 12m^3[/tex]), divide the numerical coefficients and subtract the exponents for each variable base. The correct quotient is [tex]3m^2n^5[/tex], which corresponds to option 3.

Explanation:

Divide the numerical coefficients: 36 ÷ 12 = 3.

Subtract the exponents of the variables with the same base (m): 5 - 3 = 2.

Subtract the exponents of the variables with the same base (n): 5 - 0 = 5.

Therefore, the quotient is 3m2n5, which matches option 3: [tex]3m^2n^5[/tex].

Sophia creates a blog about food specialties and how to make them at home. In one session she shares a recipe from her grandmother in Italy about making genuine Neapolitan pizza. In the blog, she inserts various links to products she has for sale, like pizza peels, tomato sauce, etc. This is an example of effective _________.

Answers

Answer:

inbound marketing

Step-by-step explanation:

Final answer:

The case of Sophia inserting links to products she sells within her food blog is an example of affiliate marketing. With this strategy, Sophia can generate revenue each time a reader makes a purchase through a link on her blog.

Explanation:

Sophia's action of incorporating links to products that she has for sale within her blog about food specialties is an example of effective affiliate marketing. In affiliate marketing, an individual recommends products to their audience, and earns a commission on any sales that come from their referrals. By integrating these product links in her blog post, Sophia can generate revenue each time a reader clicks on the link and purchases the product. This allows her to monetize her blog in an easy and effective way.

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What is the value of B Image below

Answers

it is 61 degrees bec u j add them then subrteact that by 189
The answer is 61.......

The distribution of number of hours worked by volunteers last year at a large hospital is approximately normal with mean 80 and standard deviation 7. Volunteers in the top 20 percent of hours worked will
receive a certificate of merit. If a volunteer from last year is selected at random, which of the following is closest to the probability that the volunteer selected will receive a certificate of merit given that the
number of hours the volunteer worked is less than 90?
A 0.077
B 0.123
C 0 0.618
D 0.618
E 0.923

Answers

Answer:

  B.  0.123

Step-by-step explanation:

You want the probability that hours are in the top 20% of a normal distribution with µ = 80 and σ = 7, if the number of hours worked is less than 90.

Z-scores

The number of hours will be in the top 20% if it exceeds the 80th percentile. That value is found using the inverse normal distribution.

  P(Z) > 0.8   ⇒   Z ≈ 0.8416

The Z-score associated with 90 hours is ...

  Z = (X -µ)/σ = (90 -80)/7 ≈ 1.4286

Probability

Then the probability of interest is ...

  P(0.8416 < Z < 1.4286) ≈ 0.1234

The probability the volunteer will receive a certificate is about 0.123, choice B.

__

Additional comment

We have found the probability indicated above, which matches one of the answer choices. The wording of the question suggests that a conditional probability is needed:

  P(Z>0.8416 | Z<1.4286) . . . hours in top 20% given they are less than 90

That value would be ...

  P(Z>0.8416 | Z<1.4286) = P(0.8416 < Z < 1.4286) / P(Z < 1.4286)

  P(Z>0.8416 | Z<1.4286) = 0.1234/0.9234 ≈ 0.134

Evaluate the following expression when x = 6 and y = 2:

Fraction with x squared plus y cubed in the numerator and 2 plus x in the denominator.

PLEASE HELP!!!

Answers

Answer:

11/2

Step-by-step explanation:

[tex] \frac{ {x}^{2} + {y}^{3} }{2 + x} \\ [/tex]

when,

[tex]x = 6 \\ y = 2[/tex]

Now substitute the value we get,

[tex] \frac{ {6}^{2} + {2}^{3} }{2 + 6} \\ \\ = \frac{36 + 8}{8} \\ \\ = \frac{44}{8} \\ \\ = \frac{11}{2} [/tex]

  A rectangle with length 10 inches and width 5 inches. A triangle sits on top of the rectangle. The triangle has a base of 10 inches and height of 3 inches. What is the area of the figure shown?

Answers

Answer:

The Area is 65

Step-by-step explanation: Hope this helps!

Answer:

65

Step-by-step explanation:

got it

Suppose Best Buy, buys 26" LED TVs from SONY for $138 each. They charge 72% more than this in the store. How much does this TV cost in the store? *

Answers

Answer:

google 72 percent of 138$ boom asnwer

Step-by-step explanation:

Final answer:

Best Buy would sell the 26" LED TV, which they bought from SONY for $138 each, at $237.36 in the store after adding a 72% mark-up.

Explanation:

The question is asking how much a 26" LED TV, bought by Best Buy from SONY for $138 each, would cost in the store if Best Buy charges 72% more than this. We can solve this problem using basic multiplication and addition.

First, calculate 72% of $138, which is $138 * 0.72 = $99.36. This is the amount added to $138 to get the price in the store.Next, add this amount to $138 to get the store price: $138 + $99.36 = $237.36.

So, this 26" LED TV from SONY would cost $237.36 in Best Buy's store.

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Mr. Smith started his own business making sweatshirts. It costs him $15 for the sweatshirt, $3 for the designs, and $.50 for delivery. If he sells the sweatshirts for $26 in his store, what is the return on investment on each sweatshirt?

Answers

Answer:

$7.5 is the ROI on each sweatshirt

Step-by-step explanation:

In this question, we are asked to calculate ROI for a businessman who sells sweatshirts.

To calculate the profit we need to subtract the total cost incurred form manufacture to delivery and subtract bogus from the cost at which he sells the shirts.

Mathematically let’s calculate the cost from production to delivery.

That would be ;

$15 + $3 + $0.5 = $18.5

sales price is $26

His ROI will be $26 - $18.5 = $7.5

According to Jax's pedometer, he walked 2.783\,\text{km}2.783km2, point, 783, start text, k, m, end text while taking care of the livestock in the morning and 3.124\,\text{km}3.124km3, point, 124, start text, k, m, end text taking care of the livestock in the evening.

Answers

Answer:

5.907 kilometers.

Step-by-step explanation:

Please consider the complete question.

According to Jax's pedometer, he walked 2.783 km while taking care of the livestock in the morning and 3.124 km taking care of the livestock in the evening. How far did Jax walk while taking care of the livestock today?

To find the total distance covered by Jax, while taking care of the livestock, we will add distances covered by Jax in the morning and evening.

[tex]\text{Total distance covered by Jax}=2.783+3.124[/tex]

[tex]\text{Total distance covered by Jax}=5.907[/tex]

Therefore, Jax walked for 5.907 kilometers, while taking care of  the livestock.

Two dice are rolled, and the results are summed find the probabilty of rolling an odd sum less than 9

Answers

Answer:

You can have 11 outcomes:

2: 1/36

3: 2/36

4: 3/36

5: 4/36

6: 5/36

7: 6/36

8: 5/36

9: 4/36

10: 3/36

11: 2/36

12: 1/36

Odd numbers are 3,5,7,9,11 thus the probability is (2+4+6+4+2)/36

Step-by-step explanation:

try this i think this is the answer i looked it up

18 students are going on a field trip, the bus can fit 14 so 4 of them will have to ride in a car. In how many ways can we chose the 4 students who must ride in the car?

Answers

Answer:

4

Step-by-step explanation:

The 4 youngest, the 4 oldest, the 4 shortest, the 4 tallest. Hope this helps.

Answer:

6

Step-by-step explanation:

Last 4First 4Fifth, Sixth,Seventh, and eighth kids.Eighth, nineth, tenth, eleventh. Tweleveth, Thirteenth, fourteenth, fifteenth.last one, second last, first, and second.

Identify the fallacies of relevance and weak induction committed by the following arguments. If no fallacy is committed, write "no fallacy." Todd Burpo, the best-selling author, argues in his book that heaven is real and that his son Colton met Jesus and John the Baptist in a near-death experience. But it’s clear that Burpo says these things only to sell lots of books. Therefore, his arguments have no merit.

Answers

The argument discrediting Todd Burpo uses an ad hominem fallacy and a fallacy of weak induction called circumstantial ad hominem, focusing on Burpo's potential financial gain instead of the validity of his claims.

The argument presented commits a couple of logical fallacies.

Firstly, it commits the ad hominem fallacy, which is a type of fallacy of relevance.

This fallacy occurs when the arguer attacks the person making the argument instead of the argument itself.

In this case, discrediting Todd Burpo because he has a financial motivation does not address the actual content of his claims about heaven.

Secondly, there's a fallacy of weak induction known as circumstantial ad hominem.

Here, the suggestion is that Burpo’s circumstances (wanting to sell books), rather than evidence, make his claims unworthy of consideration, which is an insufficient basis to deny the merits of his arguments.

While the argument does not prove the existence of a supernatural deity, dismissing it because of the author's potential financial gain uses inappropriate grounds that do not speak to the truth or falsity of the actual claim, thus making it an invalid critique.

The burden of proof demands that a claim be established through reason and evidence, and this fallacy does not appropriately engage with either.

Please help
6x^2/7y*21yz/12xy

Answers

Answer: 3 /2 x^3y^3z

Answer:

Simplified, it equals (3x^3*y^3*z)/2

Step-by-step explanation:

the length of a rectangle with area 54 square centimeters is 9 centimeters. what is the perimeter of the rectangle, in centimeters?

Answers

Answer:

30 cm

Step-by-step explanation:

To find the perimeter of the rectangle, you first need to find the width and length of the rectangle:

54/9 = 6

L = 9

W = 6

The perimeter is 2lw:

The answer is 30 cm

Answer:

C 30 it not it 34

Step-by-step explanation:

just did it

You have one type of nut that sells for $3.00/lb and another type of nut that sells for $5.40/lb. You would like to have 7.2 lbs of a nut mixture that sells for $4.60/lb. How much of each nut will you need to obtain the desired mixture?

Answers

Answer: 2.4 pounds of the type of nut that sells for $3.00/lb and 4.8 pounds of the type of nut that sells for $5.40/lb would be needed.

Step-by-step explanation:

Let x represent the number of pounds of the type of nut that sells for $3.00/lb that you would need.

Let y represent the number of pounds of the type of nut that sells for $5.40/lb that you would need.

You would like to have 7.2 lbs of a nut mixture. It means that

x + y = 7.2

The mixture would sell for $4.60/lb. It means that the cost of the mixture would be

4.6 × 7.2 = $33.12

This means that

3x + 5.4y = 33.12- - - - - - - - - 1

Substituting x = 7.2 - y Intl equation 1, it becomes

3(7.2 - y) + 5.4y = 33.12

21.6 - 3y + 5.4y = 33.12

- 3y + 5.4y = 33.12 - 21.6

2.4y = 11.52

y = 11.52/2.4

y = 4.8

x = 7.2 - y = 7.2 - 4.8

x = 2.4

Other Questions
What are the four levels of organization in an organism? Evaluate how true or false this statement is:It is fine to put aside your active reading techniques once in awhile if youre reading for enjoyment 9. The Indian Civil Rights Act of 1968 recognized the legitimacy of localreservation law and guaranteed reservation residents the protections ofA. Affirmative actionB. The bureau of Indian Affairs C. The bill of rights D. The national guard Quill Manufacturing Business makes two models of marking pens. The requirements for each lot of pens in the three manufacturing departments are given below. All three departments are necessary in the production of both types of pens. The profit for both types of pen is $1000 per lot. What is the optimal production quantity for the Tiptop model pen? Fliptop Model Tiptop Model Available production hoursInk Assembly 3 4 36Molding Time 5 4 40Plastic 5 2 30 FAMOUS GREEK PHILOSOPHER'S INCLUDE ALL OF EXCEPT? A shop has the following offers. Fig rolls (125g packet) Normal price 1.08. Buy one, get 2nd half price. (PLEASE HELP!) The central angle of a sector is 72 degrees and the sector has an area of 15.71. Find the radius. What are some reasons people would fight for the South if they didnt believe in slavery? Why is the cross significant in Christianity? O It stands for the coming of the holy spirit. O It symbolizes Jesus's sacrifice for his people. O It was worn by Peter when he became the first pope. O It represents the belief in one God who exists are three persons. PLEASE HELP! suppose y varies inversely with x. Write an equation if y=-3 when x=17 Using your knowledge of Supreme Court precedents, which ofthe following would most likely violate the 4th Amendment?Choose only ONE best answer.A)police set up a drunk driving checkpoint at 11 p.m. on the Fourth of JulyB)a city council refuses to allow a hate group to hold a demonstration in their cityC)the state of Florida refuses to provide an attorney for indigent defendantsD)the FBI examines a person's cellphone metadata without consent or a searchwarrantthe answer is D A cat had a litter of 5 kittens. If each sex is equally likely, what is the probability that 3 or less were female kittens? 0.3125 0.500 0.8125 0.2500 Motion is defined as a change in an object's position when compared to other objects around it. Mary Ann was watching a slug crawl across the driveway. She saw that a small rock was beside the slug when she first started watching it.Since a slug moves so slowly, how does Mary Ann know that the slug is actually in motion?A)She can tell the slug is moving because time has passed.B)She can tell the slug is moving because she set her watch.C)She can tell the slug is moving by never taking her eyes off of the slug.D)She can tell the slug is moving by comparing the change in distance between the rock and the slug. How does paragraph 1 shape MacArthurs message to the cadets in the speech?A. MacArthur discusses change and the expanding reach of humanity, but announces to the cadets that their duty as soldiers will remain the same.B. MacArthur discusses change and the expanding reach of humanity, and so provides context for the cadets as to how their roles as soldiers will change over time.C. MacArthur talks about exploring the universe and many exciting discoveries, which he doesnt think hell live to see but hopes the cadets will.D. MacArthur talks about humanitys expanding understanding of the scope of the universe, giving the cadets perspective on their relatively minor place in it. Kristen recorded the amount of liquid (in ml) of eight containers. She created a box plot of her data. What is the interquartile rangeof Kristen's data?A: 7B: 13C:31D:50 (5x-5)+(2x+10) find the value of x DemagnetizeWhich events cause ferromagnetic materials to magnetize and which events cause them to demagnetize? Aqueous sulfuric acid will react with solid sodium hydroxide to produce aqueous sodium sulfate and liquid water . Suppose 8.83 g of sulfuric acid is mixed with 9.1 g of sodium hydroxide. Calculate the maximum mass of sodium sulfate that could be produced by the chemical reaction. Round your answer to significant digits. True values for some behaviors (e.g., compliance) are difficult because the process for determining true value must be different from the measurement procedures used to obtain the data one wishes to compare to the true value.a) trueb) false Zinc, Inc. has 10,000 shares of $5 par, 5% preferred stock, and 5,000 shares of $10 par common stock issued and outstanding. If the board of directors authorizes a $15,000 dividend, the payments to preferred shareholders will total _________.A. $2,500B. $500C. $750