How much extra snow would a child need to take a snowball with a diameter of 8 cm and increase its size to a snowball with a diameter of 12 cm?

Answers

Answer 1

The amount of the extra snow would a child need to take a snowball will be 636.71 cubic cm.

What is the volume of the sphere?

Let d be the diameter of the sphere.

Then the volume of the sphere will be

V = 1/6 πd³ cubic units

Then the amount of the extra snow would a child need to take a snowball with a diameter of 8 cm and increase its size to a snowball with a diameter of 12 cm will be

Amount of snow = 1/6 π x 12³ - 1/6 π x 8³

Amount of snow = 288 π - 85.33π

Amount of snow = 636.71 cubic cm

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Related Questions

Need help with this geometry question

Answers

2) [tex]\overline{EK} \cong \overline{KG}, \overline{HK} \cong \overline{KF}[/tex]

3) Opposite sides of a parallelogram are congruent.

4) [tex]\triangle EF \text{ }K \cong \triangle GHK[/tex]

3 more than half a number​

Answers

Answer
1/2n + 3
Or
1/2x + 3

Answer:

3 + a/2

Step-by-step explanation:

3 + a/2

Trigonometry problem

Answers

Answer:

Hi! So, I'm pretty sure the answer is 1 (rounded).

However, I'm not sure if you're trying to find the answer to COS pi/10 or "the function in terms of cofunction of a complementary angle" which I'm not too sure about. I've given you the answer to the first part if this was not the right way to read the problem I deeply apologize.

Step-by-step explanation:

Using any calculator with the Cos, Sin, and Tan function, you can input

COS (pi / 10) which equals .9999849678 (which you can round as needed)

The complement of cosine is sine. Cos (A) = sin(pi/2 - A)

So cos(pi/10) = sin(pi/2 - pi/10) = sin (5pi/10 - pi/10) = sin (4pi/10) = sin(2pi/5)

Hope this helps!


Which graph shows the solution to the system of linear inequalities?
y≥ 2x + 1
y≤2x-2

Answers

Answer:

g

Step-by-step explanation:

jjnnkvigific and it's a boy f a horse y

Find the range of the function.
f(x) = 10-x²
a. [5,00)
c. (-∞0, 10]
b. (-∞, -1) U [0, 00)
d.
Please select the best answer from the choices provided
(-∞, -1) U [∞o, 10)

Answers

Answer: hard to tell but I think D is correct (−∞,10],{y| y ≤ 10}

Step-by-step explanation:

Range:

(−∞,10] or {y| y ≤ 10}

because there is a vertex at (0, 10)

(found this by using -b/2a giving us 0 for x coord and plugging in 0 to 10-x² giving us (0, 10)

Then understanding since -x² is negative, the parabola goes down. And we know that the range is anything less or equal to 10

Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.54 and a standard deviation of 0.42. Using the empirical rule, what percentage of the students have grade point averages that are less than 2.96? Please do not round your answer.

Answers

Using the Empirical Rule, it is found that 84% of the students have grade point averages that are less than 2.96.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, 2.96 is one standard deviation above the mean. We have that:

The normal distribution is symmetric.Of the 50% of the measures below the mean, all are below 2.96.Of the 50% of the measures above the mean, 68% are below 2.96.

Hence the percentage is given by:

P = 50% + 0.68 x 50% = 50% + 34% = 84%.

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how many ml of 40 percent acid should be added to pure acid to make 70ml of 65 percent acid?

Answers

The amount of the acid will be equal to 113.75 Ml.

What is concentration?

Concentration in chemistry is calculated by dividing a constituent's abundance by the mixture's total volume.

In chemistry, to solve this kind of exercise, dilutions, and concentrations are common to use the following equation

C1 x V1 = C2 x V2

V1 refers to volume 1, in this case, is 70mL because is the quantity I have, the solution I can use to obtain another solution. C1 refers to the concentration of the solution I also have, in this case, 65%.

C2 and V2 refer to the volume and concentration of the solution I am looking for. So, if want to know V2, which is the volume I need to add, the only thing to do is find V2 in the equation:

V2 = ( C1 x V1 ) / C2

V2 = ( 65% x 70mL) / 40%

V2 = 113.75 Ml.

                                               

Therefore the amount of the acid will be equal to 113.75 Ml.  

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Which expression
is equivalent to 4(x+2)?

Answers

Answer:

[tex]\huge\boxed{\sf 4x + 8}[/tex]

Step-by-step explanation:

Given expression:

= 4(x + 2)

Distribute

= 4x + 8

[tex]\rule[225]{225}{2}[/tex]

Detailed Answer:

= 4(x + 2)
= 4 * x + 4 * 2
=> 4x + 8

If 4x + 8 is an Option, then that is the Correct Answer. Since options are not given, I don’t know which option corresponds to this Answer.

A rectangular garden is 15 ft longer than it is wide. Its area is 450
ft^2
. What are its dimensions?

Width equals =------

Length equals=-----

Answers

Answer:

Width= 15ft and Length= 30 ft

Step-by-step explanation:

Length=15+w

Area=450 ft square

(15+w)(w)=450

w²+15w=450

w²+15w-450=0

(w+30)(w-15)=0

w= -30, 15

width can't be negative so possible answer is 15 ft

Length = 15+15=30 ft

What system of equations would you use to solve the problem below?
A test is worth 100 points. Multiple-choice questions are worth 3 points and
short-answer questions are worth 5 points. If the test has 28 questions, how
many multiple-choice questions are there?

Answers

Let x be multiple-choice questions
Let y be short-answer questions

x + y = 28

3x + 5y = 100

The scatter plot shows a correlation between the cost of a helmet and the consumer rating.

The line of regression models that correlation.

Enter a number to complete each statement.

Answers

Answer:

1. 65

2. 52

3. 13

Step-by-step explanation:

For these answers, we can look at the graph:

Question 1:

For the helmet that costs 35 dollars, we look at the x-axis until we find the helmet that aligns with 35.

Then, we look at the y-axis and find the blue dot. The blue dot is the actual consumer rating that was recorded, NOT the red line. The red line is the predicted consumer rating in correlation to the price.

Hence, the consumer rating is 65.

Question 2:

For this, we can look back at the graph and apply the same concept as above. Notice how the 65 plot is 13 points away from the point predicted by the red line.

Therefore, 65 - 13 = 52

Question 3:

Just like the last two questions, we can look at the graph for this. The green line gives us this answer flat out, displaying the distance from the actual rating to the predicted rating.

Hence, the actual consumer rating was 13 above the predicted rating.

Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36

Answers

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

[tex]\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;[/tex]

it is clear, the required constant is 12 (12 per hour).

question is attachment

Answers

The degree of dispersion in your data collection is indicated by variance.
It is given by the formula:
[tex]\overline{d}= \sum_{i=1}^{i=n}\frac{|x_i-\overline{x}|^2}{n}[/tex]

To determine the values of a certain set of scattered data, the standard deviation formula is utilized. The dispersion of the quantities or data from the mean is how the standard deviation is simply defined. The conclusion drawn from a lower standard deviation is that the results are fairly near to the average. Higher values, on the other hand, indicate a significant dispersion from the mean. The standard deviation number can never be negative, it should be positive.

It is given by the formula:

[tex]s_d = \sqrt{\sum_{i=1}^{i=n}\frac{|x_i-\overline{x}|^2}{n}} =\sqrt{\overline{d}}[/tex]

We have that the mean of the values is:  

at 8 AM [tex]\overline{x}=\frac{97.9+99.3+97.9+97.6+97.4}{5}=98.02[/tex]

at 12 AM [tex]\overline{x}=\frac{98.5+99.7+98+97.4+97.6}{5}=98.24[/tex]

Using the above definitions we have that

at 8 AM [tex]\overline{d}=\frac{(98.02-97.9)^2+(98.02-99.3)^2+(98.02-97.9)^2+(98.02-97.6)^2+(98.02-97.4)^2}{5}=0.4456[/tex]

[tex]s_d=\sqrt{\overline{d}}=\sqrt{0.4456}=0.6675[/tex]

at 12 AM

[tex]\overline{d}=\frac{(98.24-98.5)^2+(98.24-99.7)^2+(98.24-98)^2+(98.24-97.4)^2+(98.24-97.6)^2}{5}=0.6744[/tex]

[tex]s_d=\sqrt{\overline{d}}=\sqrt{0.6744}=0.8212[/tex]

In general, [tex]\mu_d[/tex] represents the mean of the differences from the population of matched data.

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Simplify: √64(6z-7)² (square root over entire equation)

Answers

[tex]\sqrt{64(6z-7)^2}=\sqrt{64}\cdot\sqrt{(6z-7)^2}=8\cdot |6z-7|=8|6z-7|[/tex]

On a certain day, the high temperature in city A was 93° F. On the same day, the high temperature in city B was -6° F. What was the difference in temperature between city A and city B?

Answers

Answer:

99°F

Step-by-step explanation:

The high temperature in city A was 93° F. On the same day, the high temperature in city B was -6° F.

The difference in temperature will be:

= 93 - (-6)

= 93 + 6

= 99

Please explain and i need it urgently... One fifth of marked price of a watch is given as discount. What is the discount percent?

Answers

Answer:

1/5 times 100= 20%

Step-by-step explanation:

brainliest????????!!!!!!!

Select The correct answer.
Segment AB Is tangent to the circle at point B. Which equation describes the relationship between the tangent and secant line segments?
B
D
OA
(AD)² = (AC) (AB)
OB. (AB)2 = (AC)(CD)
OC. (AB)2 = (AC)(AD)
OD. AB=(AC + AD)

Answers

According to the tangent-secant theorem, the relationship of the tangent and secant in the given circle is: C. AB² = (AC)(AD).

What is the Tangent-Secant Theorem?

The secant tangent theorem defines the relationship between the lengths of the secant and the tangent line segments when they meet outside a circle.

Based on the tangent-secant theorem, using the image given, the equation that describes the relationship of the tangent and secant in the given circle is:

C. AB² = (AC)(AD)

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Answer: C

Step-by-step explanation:

got it right on my test!!

[tex] \bold{(10x - 6x³ + 8x²) - (5x² + 12x³ - 4)​}[/tex]​

Answers

Answer:

[tex]\boxed{\sf -18x^3+3x^2+10x+4}[/tex]

Explanation:

[tex]\rightarrow \sf (10x - 6x^3 + 8x^2) - (5x^2 + 12x^3 - 4)[/tex]

distribute

[tex]\rightarrow \sf 10x - 6x^3 + 8x^2 - 5x^2 - 12x^3 + 4[/tex]

collect terms

[tex]\rightarrow \sf -6x^3-12x^3+3x^2+10x+4[/tex]

add similar terms

[tex]\rightarrow \sf -18x^3+3x^2+10x+4[/tex]

Answer:

[tex]-18x^3+3x^2+10x+4[/tex]

Step-by-step explanation:

Given:

[tex](10x-6x^3+8x^2)-(5x^2+12x^3-4)[/tex]

Apply the rule (a) = a:

[tex]\implies 10x-6x^3+8x^2-(5x^2+12x^3-4)[/tex]

[tex]\textsf{Use the distributive law} \quad -(a+b)=-a-b:[/tex]

[tex]\implies 10x-6x^3+8x^2-5x^2-12x^3-(-4)[/tex]

Apply the rule -(-a) = a:

[tex]\implies 10x-6x^3+8x^2-5x^2-12x^3+4[/tex]

Collect like terms:

[tex]\implies -6x^3-12x^3+8x^2-5x^2+10x+4[/tex]

Combine like terms:

[tex]\implies -18x^3+3x^2+10x+4[/tex]

consider the graph of y= f(x), shown below

Answers

Answer: The domain is [tex]\boxed{(-4, 4)}[/tex] and the range is [tex]\boxed{[-4, 4]}[/tex].

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

Please Hurry !!!!!!!A line has a slope of -4/5. Which ordered pairs could be points on a line that is perpendicular to this line? Select two options.

(–2, 0) and (2, 5)
(–4, 5) and (4, –5)
(–3, 4) and (2, 0)
(1, –1) and (6, –5)
(2, –1) and (10, 9)

Answers

Answer:

(–2, 0) and (2, 5)

(2, –1) and (10, 9)

Step-by-step explanation:

1. Find the slope of the what is considered perpendicular to -4/5. To do this, we simply use the reciprocal and multiply it by -1. Therefore, a perpendicular line would have a slope of 5/4.

2. Next, we can plug each of the ordered pairs into [tex]\frac{y2-y1}{x2-x1}[/tex] to see whether or not they have a slope of 5/4. We must do this to all of the ordered pairs until we find 2. Keep in mind that coordinates give you (x, y) in that order, so don't get the x's and y's confused. Additionally, it does not matter which coordinate goes first, just make sure that you get y2 and x2 from the same coordinate, and y1 and x1 from the same coordinate.

[tex]\frac{0-5}{-2-2}=\frac{-5}{-4}=\frac{5}{4}[/tex] The first answer![tex]\frac{5-(-5)}{-4-4}=\frac{0}{-8}[/tex] Not an answer[tex]\frac{4-0}{-3-2}=\frac{4}{-5}[/tex] Not an answer[tex]\frac{-1-(-5)}{1-6} =\frac{4}{-5}[/tex] Not an answer[tex]\frac{-1-9}{2-10} =\frac{-10}{-8}= \frac{5}{4}[/tex] The second answer!

A manufacturer makes two type if products X and z at each if two different locations A and B. the materials used to make each if the products are steel, glass and plastic. suppose it takes three units of steel, one unit of glass and two units of plastic to make one unit of product X and four units of steel and one half units of glass and three units of plastic to make one unit of product Z. suppose further that steel, glass and plastic cost birr 10, 2, and 3 per unit respectively at location A. at location B steel, glass abd plastic cost 9,3 and 4 per unit respectively. using matrix algebra. find the material cost of making one of each product at each of the two locations.​

Answers

Using matrix algebra, the material cost of making one of each product at each location is as follows:​

                       Product X    Product Z

Location A        birr 38          birr 50

Location B        birr 38          birr 49.5

What is matrix algebra?

Matrix algebra involves the arrangement of numbers in a rectangular array.

Matrices are arranged in columns and rows to express some mathematical values.

Data and Calculations:Matrix O: Materials Requirement Per Unit

                      Steel    Glass    Plastic

Product X         3            1             2

Product Z         4          0.5           3

Matrix P: Materials Cost Per Unit

                      Steel    Glass    Plastic

Location A      10           2           3

Location B       9           3           4

Matrix R: (O x P) Material Cost of Product X

                      Steel    Glass    Plastic   Total

Location A     30           2           6          38

Location B     27           3           8          38

Matrix R: (O x P) Material Cost of Product Z

                      Steel    Glass    Plastic   Total

Location A     40          1             9          50

Location B     36          1.5         12         49.5

Thus, Product X costs birr 38 at locations A and B, respectively, while Product Z costs birr 50 and birr 49.5 at locations A and B, respectively.

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Write the slope-intercept form of the line that passes through the point (1, 0) and is parallel to x-y=7.

Answers

We can rewrite the equation of the given line to be in slope-intercept form as follows.

[tex]x-y=7\\x=y+7\\y=x-7[/tex]

Thus, the slope of the given line is 1.

Since parallel lines have equivalent slopes, the slope of the line we want to find is also 1.

Substituting into point-slope form,

[tex]y-0=1(x-1)\\\\\boxed{y=x-1}[/tex]

6. Divide:
6x²+7x-2/3x-1
using Long Division.

Answers

Step-by-step explanation:

3x-1) 6x^2 + 7x -2 ( 2x+3

-6x^2 -2x

+

0 + 9x -2

- 9x -3

+

1

PLEASEEE HELPPP!!

Using the sheet music example above, please name the parts:

________________________

________________________

What is this LINE of music called? ________________________

When both of these staves are connected with this symbol, what is this called? ________________________

Please name all 3 things inside of the box: ___________________________________

_________________________

Answers

The line of music is refered to as the bracket

What is music?

It should be noted that music simply means a vocal or instrumental sounds that are combined to produce beauty of harmony and expression if emotions.

When When both of these staves are connected with this symbol, it's called a brace.

Lastly, the things inside the box are voice, piano, and guitar.

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What is the slope of the line passing through the points (−3, −5) and (−1, −6)?

−4/3

−1/2

1/2

/34

Answers

Answer:

The slope of the line passing through the points (−3, −5) and (−1, −6) is [tex]-\frac{ 1 }{ 2 }[/tex] (-0.5)

Step-by-step explanation:

Equation of a straight line:

y = mx + b where m is the slope and b is the y-intercept

(x1, x2) and (y1, y2) : (−3, −5) and (−1, −6)

Calculating Slope (m).

m = [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

m = [tex]\frac{ (-6) - (-5) }{ (-1) - (-3) }[/tex]

m = [tex]\frac{ -6 + 5 }{ -1 + 3 }[/tex]

m = [tex]-\frac{ 1 }{ 2 }[/tex]

we can take this a step further by finding the equation:

Now putting value of m in equation (i)

y = -0.5x + b

Calculating Y-intercept (b).

Lets choose the first point, (-3,-5) for calculating y-intercept:

y = mx + b

-5 = -0.5(-3) + b

-5 = 1.5 + b

-6.5 = b

b = -6.5

Now putting value of b in equation

y = -0.5x + -6.5

Answer:

-1/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-6-(-5))/(-1-(-3))

m=(-6+5)/(-1+3)

m=-1/2

What is the domain of the function represented by the list of ordered pairs?
(0, 2), (-3, 6), (4, 8), (2, 5), (-2, 4)

Answers

Answer:

D: (-3,4).

Step-by-step explanation:

There is really no need to solve it. Plot those points onto a graph and draw lines. I have done it on desmos. Looking at the x-axis to find the domain. From the left to right x-axis we can see that the domain should be D: (-3,4).

For a fair coin, suppose you toss the coin 100 times.

What is the probability of getting more than 66 heads?

Answers

Using the normal distribution, it is found that there is a 0.0005 = 0.05% probability of getting more than 66 heads.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].

For the binomial distribution, the parameters are given as follows:

n = 100, p = 0.5.

Hence the mean and the standard deviation of the approximation are given as follows:

[tex]\mu = np = 100(0.5) = 50[/tex].[tex]\sigma = \sqrt{np(1-p)} = \sqrt{100(0.5)(0.5)} = 5[/tex]

Using continuity correction, the probability of getting more than 66 heads is P(X > 66 + 0.5) = P(X > 66.5), which is one subtracted by the p-value of Z when X = 66.5.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{66.5 - 50}{5}[/tex]

Z = 3.3

Z = 3.3 has a p-value of 0.9995.

1 - 0.9995 = 0.0005.

0.0005 = 0.05%

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You started this year with $413 saved and you continue to save $21 per month.
Write an equation to model this situation (use m for months and s for savings)

Answers

Answer:

y = 21x + 413

Step-by-step explanation:

Use y = mx + b

m represents the slope which in this case is 21.

b represents the y - intercept which in this case is 413.

Now, just fill in the variables.

y = 21x + 413

Hope this helps!

(x^4) (3x^3-2) (4x^2+5x)

Answers

Answer:

12x^7+15x^6

Step-by-step explanation:

Change 3x^3-2 to 3x

(x^4)(3x)(4x^2+5x)

Multiply your single terms

(3x^5)(4x^2+5x)

Then distribute

12x^7+15x^6

Please please help me with my math

Answers

Answer:

D

Step-by-step explanation:

In functions like this, its best to pay attention to the end points of the rays.

On the lower line:

it ends at x -1

because it is a closed circle, that means x can also equal -1.

x≤-1

On the upper line:

it starts at -1

it is an open circle, meaning x cannot be -1

x>-1

Other Questions
A farmer has 324 feet of fencing to make three identical adjacent rectangular pens, as shown in the picture. What dimensions of each pen will maximize the total enclosed area? determine weather y varies directly with x. if so find the constant of variation and write the equation Given: AD BC and ZBCD=ZADCProve: DE CEADBCorrect! Assemble the nextstatement.IntroAngles Segments Triangles Statements ReasonsZADCZDEAZECDStatements 1. ZDEA and ZCEB arevertical anglesZBCDZEDCZCBEZCEBReasons1. def. of vertical anglesZDAE Based on the audio, which statement is correct about what Alana does to get ready for her birthday? She has her hair done first and does her nails last. She puts on makeup first and does her hair last. She shaves her legs first and does her makeup last. She takes a shower first and dresses in pink last. How To Speeches and on research findings are two examples of _______ speeches. What steps are used to solve this equation?x2 = 7 I am having some problem can anyone please help me out to do this math.(x + 3)(x + 4) What are the solutions to the equations y= 4x^2+5x-6 Which statement best describes the change of tone in the final paragraph?The tone is more admiring as the author confirms that the Berlin tunnel was the most important part of the Cold War.The tone is frightened as the author begins to share details of the Cold War that followed.The tone is more reflective as the author connects the Berlin tunnel to the Cold War that followed.The tone is humorous as the author connects the Berlin tunnel to a propaganda frenzy. The main elements of market structure are When Evil Kenevil was a kid, he decided to attempt to jump a distance of 30 yards using ramps that extended 9 yards high for take off and landing with his motorcycle. As the figure below illustrates, at zero yards from the take off ramp, he was 9 yards high. At 8 yards from the ramp, he was 17 yards high, and at 18 yards from the ramp, he was 18 yards high. Since there are no rockets or wings affecting Evils flight, he should closely follow a parabolic path that can be modeled by a quadratic equation: y=ax^2+bx+c, where y is the height of Evils bike, and x is the horizontal distance he has traveled. 1.) Using the three data points (x, y) that we know Evil passed through and the general quadratic equation, create three corresponding equations: Equation 1: (5 pts.) Equation 2: (5 pts.) Equation 3: (5 pts.)2.) Solve your system of equations from above for a, b, and c. a = (10 pts.) b = (10 pts.) c = (10 pts.)3.) Using your values of a, b, and c, what is the quadratic equation that models Evils jump? Quadratic Equation: (10 pts.)4.) What is the maximum height for Evil during this jump? (15 pts.)5.) What is Evils height when he gets to the landing ramp? Is this a successful stunt? (15 pts.)6.) Evil was at a height of 17 yards when he was 8 yards out. Where else was he at a height of 17 yards? In the year 2000, a house was valued at $60 000. In 2010, the same house was valued at $80 000. Work out the value of the house in 2010 as a percentage of it value in 2000 Use the drawing tools to form the correct answer on the graph.Graph the line that represents this equation:y + 2 = (x+2)Drawing ToolsSelectPointLinePKClick on a fool to begin drawing.17-10-8-6-4410-806000UndoResef Two different bacterial samples, a and b, were inoculated onto simmons citrate agar. What conclusions can you make? What is the greatest common factor (GCF) of 15 and 6x?The factors of 15 are .The factors of 6x are .The GCF of 15 and 6x is . Under the U.S. Constitution, which responsibilities do noncitizens living in the United States have Why did Germany dislike the League of Nations? think of LAMB - land, army, money and blame n doi saci sunt 182 kg de gru dac din primul sac ar lua 36 kg de gru i sar pune n al doilea sac atunci ambii saci ar conine cantiti egale de gru ce cantitate de gru este n fiecare sac In the nebular hypothesis, why did the nebula start to collapse? the atomic mass unit is presently based on assigning an exact integral mass (in amu) to an isotope of an hydrogen oxygen sodium carbon heliuma. hydrogenb. oxygenc. sodiumd. carbone. helium