A student records a physical property of a rock as 2.2N. Which physical property has the student measured?

The perimeter and area of the given composite figure are:

Area = 50 cm²

Perimeter = 42 cm

To find the total surface area of the composite figure, we will find the area of each individual surfaces and then add them together.

Formula for area of a triangle is:

Area = ¹/₂ * base * height

Formula for area of a rectangle is:

Area = Length * Width

Thus:

T.S.A = 2(¹/₂ * 4 * 5) + (10 * 3)

T.S.A = 20 + 30

T.S.A = 50 cm²

The perimeter will be the sum of the entire boundary length. Thus:

Perimeter = 3 + 10 + 10 + 3 + 3 + 3 + 5 + 5

Perimeter = 42 cm

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Answer:

I think that it is 2

Step-by-step explanation:

I took the test.

Answer:

2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

if we consider the coordinates of the points

(2, 3 )

(5, 6 )

(7, 8 )

we can see that the y - coordinate in each case is 1 more than the x- coordinate, then

y = x + 1 is the required rule

The correct  formula for P(n, n-2), where n > 3, is P(n, n-2) = nC2 * (n-2)!.

To find a formula for P(n, n-2), where n > 3, we need to understand that P(n, r) represents the number of permutations of n objects taken r at a time. In this case, we are selecting n-2 objects out of n, which means we are leaving out 2 objects.

To derive a formula, let's consider the following:

When selecting n-2 objects out of n, we can choose any 2 objects to leave out. There are nC2 ways to choose 2 objects from n, where nC2 represents the binomial coefficient "n choose 2."

Once we have selected the 2 objects to leave out, we are left with n-2 objects. These remaining objects can be permuted in (n-2)! ways.

Therefore, the formula for P(n, n-2) is:

P(n, n-2) = nC2 * (n-2)!

To prove this formula, we need to show that it satisfies the definition of permutations.

Definition of permutations:

P(n, r) = n! / (n-r)!

Let's apply this definition to our formula:

P(n, n-2) = n! / (n - (n-2))!

= n! / (n - n + 2)!

= n! / 2!

= n! / 2

Now, let's simplify nC2 * (n-2)!:

nC2 * (n-2)! = n! / (2!(n-2)!)

= n! / 2

As we can see, P(n, n-2) = nC2 * (n-2)!, which is the same as n! / 2.

Thus, we have proven that the formula P(n, n-2) = nC2 * (n-2)! is valid for n > 3.

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The general expression for the n terms :

From the given data :

first term = 9, Common Ratio: r = 5

we need to find the fifth term : n = 5

Substitute the given value in the expression for

The cardinality of set F, which represents all functions from set A to set B is one-to-one and 25%.

In this case, set A has three elements, and for each element, there are two choices in set B. Therefore, the cardinality of F is given by \(|F| = |B|^{|A|} = 2^3 = 8\). To calculate the cardinality of the set G, which represents all one-to-one (injective) functions from set A to set B, we need to consider the number of possible injections. The first element in A can be mapped to any of the two elements in B, the second element can be mapped to one of the remaining elements, and the last element can be mapped to the remaining element. Thus, the cardinality of G is given by |G| = |B|P|A| = 2P3 = 2 × 1 × 1 = 2.

The probability of choosing a random function from A to B that is one-to-one can be calculated by dividing the cardinality of the set G by the cardinality of the set F. In this case, the probability is given by |G| / |F| = 2/8 = 1/4 = 0.25.

Therefore, the probability that a randomly chosen function from A to B is one-to-one is 0.25 or 25%.

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Answer:

-2/5 is the answer, hope this helps :)

Step-by-step explanation:

If Andrew's unit rate of pay per hour is $7.50 and he works for 7 hours in a day, his total earnings are $52.50.

The total earnings can be determined using multiplication, which is one of the four basic mathematical operations.

In this situation, the unit rate (slope of the earnings function) of pay is multiplied by the number of hours to obtain the total earnings.

The number of hours Andrew works per day = 7 hours

The hourly rate of pay (unit rate) = $7.50

The total earnings = $52.50 (7 x $7.50)

Thus, for working for 7 hours, Andrew will earn $52.50.

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The hourly rate of pay is $7.50

The statement cross-tabulation with two variables is known as twice-tabulation is false because there is no such term as "twice-tabulation" in the context of statistical analysis.

Cross-tabulation, also known as contingency table analysis, involves the analysis of categorical variables by creating a table that shows the frequency or distribution of one variable based on the levels of another variable.

It allows for the examination of the relationship between two variables, highlighting any associations or patterns that may exist. Each cell in the cross-tabulation table represents the count or proportion of observations that fall into specific combinations of categories from the two variables.

The term "twice-tabulation" does not exist in statistical literature and is not commonly used to refer to cross-tabulation with two variables. The correct term to describe this statistical technique is simply cross-tabulation or contingency table analysis.

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Answer:

b

Step-by-step explanation:

2m is term because it is what you are looking for

In the expression 4(2m-n), (2m-n). is a term and  In expression 4(2m-n), 2m is also a term. The correct options are B and B for both.

One mathematical expression makes up a term. It could be a single variable (a letter), a single number (positive or negative), or the number of variables multiplied but never added or subtracted.

Variables in certain words have a number in front of them. A term is defined as a single number or single variable or number and variable multiplying with each other in a mathematics expression.

The first expression is 4(2m-n), then in the expression 2m - n will be the term of the expression.

The second expression is 4(2m-n), then in the expression 2m is the term of the expression.

Therefore, the expression 4(2m-n), (2m-n). is a term and  In expression 4(2m-n), 2m is also a term.

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Answer:

26

Step-by-step explanation:

It started with x apples.

8 were given away.

Now there are x - 8 apples.

Two thirds of the remainder is (2/3)(x - 8).

That is equal to 12.

(2/3)(x - 8) = 12

x - 8 = 18

x = 26

There were originally 26 apples.

Answer:

26, if I understood the question correctly.

John has an amount of apples, gave 8 to her friend, and noticed that two thirds of the remainder is a dozen.

Step-by-step explanation:

If 2/3 of the remainder is 12, then we can set this up as an algebraic equation to see what the remainder started with.

x*2/3=12

Now we can see that we need to divide the 2/3 to get the answer for what x is equal to.

\(x=12/(\frac{2}{3} )\)

To divide fractions, you multiply by the reciprocal, (or the fraction upside down)

\(x=12*(\frac{3}{2})\)

When we multiply 12 by 3/2, we get 36/2, and when we reduce, we get 18.

If the entire remainder is 18, then the original total would be 18 plus the 8 that John gave to her friend.

18+8=26

Kind of a strangely worded question, I hope I understood correctly

Answer:

how many brothers do you have?

30:80 is greater

Step-by-step explanation:

6:15=2:5=30:80=15:40

Using the cosine rule, the value of x = 20.63

For a given triangle with two sides a and b given and an angle, Ф. The cosine rule to find the third side is given by c² = a² + b² -2abcosФ.

In the given triangle, to find determine x using the cosine rule, we proceed as follows.

So, using the cosine rule, we have that

x² = a² + b² -2abcosФ where

So, substituting the values of the variables into the equation, we have that

x² = a² + b² -2abcosФ

x² = 12² + 18² -2(12)(18)cos32°

x² = 144 + 324 -2(12)(18)cos32°

x² = 468 + 324 - 432cos32°

x² = 468 + 324 - 432 × 0.8480

x² = 792 - 366.36

x² = 425.64

x = √425.64

x = 20.63

So, the value of x = 20.63

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Answer: 25

Step-by-step explanation:

Since Ade uses 2 cups of flours for 5 mini loaves, it simply means that 1 cup of flour will be used for:

= 5/2 = 2.5 mini loaves

Therefore, the number of mini-loaves that he could make with 10 cups of flour would be:

= 10 × 2.5

= 25 mini loaves

The second expression is given by: We will substitute the given values of x and y:Therefore, the value of the second expression when x=2 and y=3 is -5. Hence, the two expressions are equivalent.

The two expressions are  and . Randy correctly finds that both expressions have a value of 20 when 2 and 3 respectively, and he needs to find the value of the second expression when 2 and 3.Let's first evaluate the first expression when x=2 and y=3:Now, we can find the value of the second expression when x=2 and y=3:Therefore, the value of the second expression when , and the two expressions are equivalent is -5.

Randy is checking to determine if the expressions  and  are equivalent. When x=2 and y=3, he correctly finds that both expressions have a value of 20. When x=2 and y=3, he correctly evaluates the first expression to find that  .We need to find the value of the second expression when x=2 and y=3.

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Lee Jenkins worked the following hours as a manager for a local Pizza Hut 5 4/1​, 9 4/3​, 7 4/3​ and 8 4/3​.

Now, the above-mentioned hours are not in the proper form that we are required to calculate. Therefore, we need to change them into the proper format .In order to add these hours, we must first convert the hours and minutes to the same format.

We'll need to convert each fraction to a common denominator of 3x3=9.  5 4/1​ in the mixed format is 5 + 4/1,
which is equal to 9. 9 4/3 in the mixed format is 9 + 4/3,
which is equal to 10 1/3.7 4/3​ in the mixed format is 7 + 4/3,

which is equal to 8 1/3.8 4/3​ in the mixed format is 8 + 4/3,
which is equal to 9 1/3.Now that we've converted the times,

we can add them together to get a total of 36 1/3 hours.

Therefore, Lee worked for 36 1/3 hours. the total number of hours Lee worked as a manager for the local Pizza Hut is 36 1/3 hours.

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Answer: a) \(x=\dfrac{-9 \pm\sqrt{113} }{8}\)

              b) x₁ = - 14; x₂ = 6.

Step-by-step explanation:

a) 4x² + 9x - 2 = 0

\(x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=4; \: \: b=9; \: \: c=-2\\x =\dfrac{-9 \pm \sqrt{9^{2}-4 \cdot 4 \cdot (-2) } }{2 \cdot 4} =\dfrac{-9 \pm\sqrt{113} }{8}\)

b) x² + 8x - 84 = 0

\(x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=1; \: \: b=8; \: \: c=-84\\\\x =\dfrac{-8 \pm \sqrt{8^{2}-4 \cdot 1 \cdot (-84) } }{2 \cdot 1} =\dfrac{-8 \pm\sqrt{400} }{2}=\dfrac{-8 \pm 20}{2} =-4 \pm 10\\\\x_{1} =-14\\x_{2} =6\)

Answer:

it would be 0 or 22 grams

Step-by-step explanation:

Answer:

none of the radioactivity

Step-by-step explanation:

its kind of hard to explain but if 11 x 2=22 then by 11 days half of it will be gon within 22 there would be no radioactivity left in the radium

Answer:

Its x = 5, x = -1

or B to be more precise

Answer:

what does ^3 mean i fg *i am going to edit my answer

Step-by-step explanation:

In this case, we must use trigonometry to find the value of x:

        \(tan(\alpha )=\frac{side-opposite-angle}{side-beside-angle} \\tan(70) = \frac{x}{3} \\3*tan(70) = x\\x = 3*tan(70)\\x = 8.24\)

Thus the value of x rounded to the nearest tenth is 8.2

Hope that helps!

The given statements

(a) [1+1] we can then conclude that all the means are different from one another is false

(b) [1] the standardized variability between groups is higher than the standardized variability within groups is true

(c) [1+1]the pairwise analysis will identify at least one pair of means that are significantly since there are four groups is true

(d) [1+1] the appropriate α to be used in pairwise comparisons is 0.05 / 4 = 0.0125 since there are four groups is true.

(a) False. Rejecting the null hypothesis that the means of four groups are all the same using ANOVA at a 5% significance level does not necessarily mean that all the means are different from one another. It only indicates that there is at least one group that is significantly different from the others, but it does not provide information about which groups are different.

(b) True. If the null hypothesis is rejected, it means that there is a significant difference between at least one group mean and the overall mean. This implies that the standardized variability between groups is higher than the standardized variability within groups.

(c) True. If the null hypothesis is rejected, it means that there is a significant difference between at least one group mean and the overall mean. Therefore, pairwise analysis will identify at least one pair of means that are significant since there are four groups.

(d) True. When conducting pairwise comparisons, the appropriate α level to be used should be adjusted to account for multiple comparisons. In this case, since there are four groups, the appropriate α level would be 0.05/4 = 0.0125 to control for the family-wise error rate.

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Answer:

Option 1 is correct

5.345345... = 5340/999

Hope this helps!

:)

The length of the garden which is in the shape of a rectangle with a perimeter of 18 meters and whose length is 3 meters more than twice the width, is 7 metres.

Let's name the width "w" and the length "l" of the rectangle.

We know from the problem description that the rectangle's perimeter is 18 metres, thus we can formulate an equation:

2l + 2w = 18

We also know that the length is 3 metres longer than the breadth, thus we can solve the following equation:

l = 2w + 3

We may plug the second equation into the first to remove the letter "l" and get an equation with only one variable:

2(2w + 3) + 2w = 18

When we simplify this equation, we get:

6w + 6 = 18

When we subtract 6 from both sides, we get:

6w = 12

When we divide both sides by 6, we get:

w = 2

We can use the second equation to get the length now that we know the width is 2 metres:

l = 2w + 3 = 2(2) + 3 = 7

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Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.

The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.

The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.

In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.

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It will take 120 minutes for smaller hose to fill the complete swimming pool on its own.

Let us represent the complete swimming pool as 1. Now, total time required to fill the swimming pool is 40 hours. So, amount of swimming pool filled in 1 minute = 1/40

Similarly, amount fo swimming pool filled by larger hose in 1 minute = 1/60

Now for the smaller hose, the amount of swimming pool filled in 1 minute = 1/40 - 1/60

The amount of swimming pool filled in 1 minute = (60 - 40)/2400

The amount of swimming pool filled in 1 minute = 20/2400

The amount of swimming pool filled in 1 minute = 1/120

Total time taken to fill swimming pool = 1 ÷ (1/120)

Total time taken to fill swimming pool = 120 minutes

Thus, 120 minutes are required.

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Answer:

1/ Point slope form is more efficient for determining the Slope

2/ Standard form is more efficient for determining x-intercept and

y-intercept

3/ If you want to use your calculator to graph an equation, the Point slope form is more efficient

Step-by-step explanation:

1/ I say point slope form because the slope in this form is a point on the line, and he if knows the point on the graph and slope, he can graph the line easily.

2/ I say standard form because x​ and ​y​ intercepts ​ of a graph, that is, the point where the graph crosses the ​ x-axis and the point where it crosses the ​ y ​-axis. So, it is the easiest form to find the x and y intercepts.

3/ If he knows a point and the slope he can graph it easily.