On a given planet, the weight of an object varies directly with the mass of the object. suppose that an object whose mass is 10 kg weighs 90 n. Calculate the mass of another object that weighs 36 n.

Answer:

False

Step-by-step explanation:

Answer:

A quadrilateral can't have 2 reflex angles

Step-by-step explanation:

A quadrilateral can't have 2 reflex angles because reflex angles > 180° so if you add two together, it is > 360°

There are 4 hundred billions in the number 432,845,979,484.

To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.

The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.

Let's break down the number:

4 hundred billions (4 x 100,000,000,000)

3 ten billions (3 x 10,000,000,000)

2 billions (2 x 1,000,000,000)

8 hundred millions (8 x 100,000,000)

4 ten millions (4 x 10,000,000)

5 millions (5 x 1,000,000)

9 hundred thousands (9 x 100,000)

7 ten thousands (7 x 10,000)

9 thousands (9 x 1,000)

4 hundreds (4 x 100)

8 tens (8 x 10)

4 units (4 x 1)

As we can see, there are 4 hundred billions in the number 432,845,979,484.

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(i)

2 * 6 = 6

6 * 1 = 1

2 * (1 * 6) = 2 * 6 = 6

6 * (2 * 3) = 6 * 3 = 6

(ii) * is commutative if for any a, b ∈ A, we have a * b = b * a. You can verify this visually by checking for symmetry in the table along the main diagonal (going from top left to bottom right).

* is not commutative because

6 * 1 = 1

while

1 * 6 = 6

(iii) If e is the identity, then for any a ∈ A, we have a * e = e * a = a.

Here, 2 is the identity element because 1 * 2 = 1 and 2 * 1 = 1, and the same is true if we replace 1 with 2, 3, or 6.

(iv) Let a ∈ A. a has an inverse a ⁻¹ if a * a ⁻¹ = a ⁻¹ * a = e.

We know that e = 2, so look for any pairs that map to 2. The table shows that

1 * 3 = 2   and   3 * 1 = 2

2 * 2 = 2

so 1 has an inverse of 3, 3 has an inverse of 1, and 2 has itself as its inverse (which is to be expected for the identity).

Answer:

f^(-1)(x) = ±√(x - 5).

Step-by-step explanation:

Replace f(x) with y: y = x^2 + 5.

Swap the x and y variables: x = y^2 + 5.

Solve the equation for y. To do this, we'll rearrange the equation:

x - 5 = y^2.

Take the square root of both sides (considering both positive and negative square roots):

±√(x - 5) = y.

Swap y and x again to express the inverse function:

f^(-1)(x) = ±√(x - 5).

Therefore , the solution of the given problem of matrix comes out to be matrix A's (3,4)th place is -1.

A matrix is a group of numbers arranged in rows and columns to form a rectangular array. The numbers make up the matrix's constituents or parts. Matrix algebra is widely used in many branches of mathematics, as well as in the sciences of architecture, physics, economics, and statistics.

Here,

Given that matrix A has 4 rows and 5 columns,

=> it has a dimension of 4 x 6.

=> -1, 2, 3, 4, and 5 are the values in the fourth row of matrix A.

=> 2, 0, 6, and -3 are the values in matrix A's third column.

The entry in matrix A's (3,4)th place is -1.

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Answer:

mixed number: 12 2/5

improper fraction: 62/5

Step-by-step explanation:

(a) There are 2 sequences of length 1 that fit the bill: 0 and 1. So if \(b_n\) is the number of permissible sequences, then \(b_1=2\).

To the sequence 0, we can attach either 0 or 1 at the end, while the sequence 1 must be followed by 0. Then the permissible sequences of length 2 are 00, 01, and 10, so \(b_2=3\).

Now consider a sequence of length n + 1, of which there are \(b_{n+1}\).

• If the last digit is 0, then we got this sequence by simply joining 0 to one of \(b_n\) sequences. In other words, there are \(b_n\) permissible sequences of length n + 1 that end in 0.

• If the last digit is 1, then the previous digit must have been 0. Put another way, we join 01 to a permissible sequence of length n - 1 (there are \(b_{n-1}\) of them). So there are \(b_{n-1}\) permissible sequences of length n + 1 that end in 1.

These cases are mutually exclusive, so the number of (n + 1)-length permissible sequences is given by

\(\begin{cases}b_1 = 2 \\ b_2 = 3 \\ b_{n+1} = b_n + b_{n-2} & \text{for }n\ge2\end{cases}\)

(b) The reasoning for a permissible ternary sequence is similar. Let \(t_n\) be the number of sequences of length n not containing 11.

We first note that \(t_1 = 3\), since we can have 0, 1, or 2; and \(t_2 =  8\), since we can have 00, 01, 02, 10, 12, 20, 21, or 22.

Consider a sequence of length n + 1 (\(t_{n+1}\) of these).

• If the last digit is 0, then we joined 0 to a permissible sequence of length n. So there are \(t_n\) permissible sequences of length n + 1 ending in 0.

• If the last digit is 1, then the last two digits must be either 01 or 21. Since there are 2 choices for the n-th digit, there are \(2t_{n-1}\) permissible sequences of length n + 1 ending in 1.

• If the last digit is 2, then we essentially have the same situation as if the sequence ended in 0, so there are \(t_n\) sequences of length n + 1 ending in 2.

Then the recurrence for ternary permissible sequences is

\(\begin{cases}t_1 = 3 \\ t_2 = 8 \\ t_{n+1} = 2t_n + 2t_{n-1} & \text{for }n\ge2\end{cases}\)

Answer:

7.6

Step-by-step explanation:

Divide 38 by 5 to get your answer

Answer:

£56

Step-by-step explanation:

you first have to find out how much one kg is so you do 42/3=14

then times is by 4, 14x4=56

Adel pays £56 to buy 4 Kg of rump steak. and this can be determined by using the unitary method and the given data.

Given :

3 kg of rump steak costs £42 Adel.

The unitary method can be used to determine the amount he pays for 4Kg of rump steak. In the unitary method, two values or variables are found named as a single unit and necessary unit.

The following steps can be used to determine the amount he pays for 4Kg of rump steak:

Step 1 - Multiply 42 by 4.

\(= 42\times 4\)

Step 2 - Divide the above expression by 3.

\(=\dfrac{42\times 4}{3}\)

Step 3 - Simplify the above expression.

= 56

So, Adel pays £56 to buy 4 Kg of rump steak.

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A)

If This number 7.787887888... could be written as a ratio

Then it is called rational.

Since it has 7.78788788788... is an infinite number, with a repeating pattern notice it in bold. Then the only possible answer is:

Yes, it as a rational number, with a repeating pattern.

A.

Answer:

$6.84

Step-by-step explanation:

This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.

Answer:

21

Step-by-step explanation:

(-4)(-2)+2(6+5)

(8)+2(11)

10+11

21

Hope this helps! :)

Answer:32

Step-by-step explanation: First, we do parentheses. 6+5 = 11. Next, we have to do multiplication (-4)(-2) is positive 8 because there are two negatives. 8+2 is 10 + 2(11) is 10+22 which is 32

Answer:

c. The period is 2π

Step-by-step explanation:

The period of a function is the smallest value of $p$ for which\( f(x+p) = f(x)\) for all x.

For the function f(x) = 2cos(x^2), we can see that f(x+2π) = f(x) for all x.

This is because the cosine function has a period of 2π. Therefore, the period of f(x) = 2cos(x^2) is \(\boxed{2\pi}\)

If Given f(x) = 1/2 (3 - x) ^ 2 , the value of f(15) is 72.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.

The given function is:

f(x) = 1/2 (3 - x)²

To find the value of f(15), we need to substitute 15 for x in the function:

f(15) = 1/2 (3 - 15)²

Here, we subtract 15 from 3 to get -12 in the parentheses, and then we square it to get 144. We can simplify the expression further by multiplying 144 by 1/2, which gives us 72:

f(15) = 1/2 (144)

f(15) = 72

Therefore, the value of f(15) is 72.

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In the given case, each loaf of bread contains 25/18 cups of flour.

To find how many cups of flour are in each loaf of bread, we need to divide the total amount of flour by the number of loaves.

First, let's convert the mixed numbers to improper fractions:

\(2 2/3 cups = 8/3 cups\)

\(1 1/2 cups = 3/2 cups\)

Next, we can add the two fractions to find the total amount of flour:

8/3 cups + 3/2 cups = (16/6 + 9/6) cups = 25/6 cups

So, the recipe requires 25/6 cups of flour to make 3 loaves of bread.

To find the amount of flour in each loaf, we divide 25/6 cups by 3:

(25/6 cups) / 3 = 25/18 cups

Therefore, each loaf of bread contains 25/18 cups of flour.

Alternatively, we could simplify the mixed numbers at the beginning:

2 2/3 cups = 8/3 cups

1 1/2 cups = 6/4 cups

Then we can add the fractions:

8/3 cups + 6/4 cups = (32/12 + 18/12) cups = 50/12 cups

Finally, we can divide by 3 to find the amount of flour in each loaf:

(50/12 cups) / 3 = 25/18 cups

So the answer is the same.

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Answer:$8.43 each

Step-by-step explanation:

$13.86+$3.00=$16.86

$16.86➗2=$8.43

Answer:

8.43

Step-by-step explanation:

Step-by-step explanation:

that means that in 5 ml there are 250mg.

and that means that in 1 ml there are 250/5 = 50 mg.

and now we can find out the mg in 7 ml (by multiplying everything by 7) :

7 ml = 50 × 7 = 350 mg

Answer:

  2268π ft³ ≈ 7125 ft³

Step-by-step explanation:

You want the volume of a 22 ft long cylinder capped by a hemisphere 9 ft in radius.

The formula for the volume of a cylinder of radius r and height h is ...

  V = πr²h

The formula for the volume of a hemisphere of radius r is ...

  V = 2/3πr³

The sum of the volumes of the two figures is ...

  Vtotal = πr²h +2/3πr³ = πr²(h +2/3r)

Using the given values for height and radius, we find the volume to be ...

  Vtotal = π(9 ft)²(22 ft + 2/3(9 ft)) = π(9 ft)²(28 ft)

  Vtotal = 2268π ft³ ≈ 7125 ft³

The volume of the composite is about 7125 cubic feet.

In a square pyramid, the lateral surface area is given by the expression:

Then, the perimeter of the base is the sum of all sides:

Pb=4+4+4+4=16

Slant height of pyramid is 5 ft, then the lateral surface area is:

Answer:

5/18

Step-by-step explanation:

We assume they share equally.

5/6 ÷ 3 = 5/6 × 1/3 = 5/18

The main answer is that without specific values or elements for sets A and B, we cannot determine the result of A - B and B - A.

To find A - B, we need to subtract the elements in set B from set A. Similarly, to find B - A, we need to subtract the elements in set A from set B.

However, I need the specific values or elements of sets A and B to perform the calculations. Could you please provide the values or elements of the sets?In order to perform set subtraction, we need the specific elements or values of sets A and B. Set subtraction involves removing the common elements between the sets.

Let's say set A is {1, 2, 3} and set B is {2, 3, 4}. To find A - B, we remove the elements in set B from set A. Thus, A - B would be {1}.

To find B - A, we remove the elements in set A from set B. Therefore, B - A would be {4}.

Please provide the values or elements of sets A and B, and I will be able to calculate A - B and B - A accordingly.

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Answer:

0.350 km

Step-by-step explanation:

Hi there !

35000 cm = 35000/100 m = 350 m

350 m = 350/1000 km = 0.350 km

Good luck !

Answer:

57.926%

Step-by-step explanation:

Calculation for the probability that it is less than

16.4 inches long

Using this formula

z = (X - μ) / σ

Where,

X represent Date=16.4

μ represent Mean=16.2

σ represent Standard deviation=0.9 inches

Let plug in the formula

z = (16.4 - 16.2) /0.9 inches

z=0.2/0.9 inches

z = 0.2

Using Z-score table to find the area of 0.2

z=0.57926*100

z=57.926%

Therefore the probability that it is less than

16.4 inches long is 57.926%

Percentage equivalent to fraction is found by multiplying the fraction with 100.

Given,

Percentage equivalent of fraction,

Let us take few fractions and convert them into their percentage equivalent.

Example,

Fractions                                                       Percentage equivalent

Hence multiply the given fraction with 100 to get its percentage equivalent.

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Answer:

21.77% probability that the antenna will be struck exactly once during this time period.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\mu\) is the mean in the given interval.

In this question:

\(\mu = 2.40\)

Find the probability that the antenna will be struck exactly once during this time period.

This is P(X = 1).

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

\(P(X = 1) = \frac{e^{-2.40}*2.40^{1}}{(1)!} = 0.2177\)

21.77% probability that the antenna will be struck exactly once during this time period.

The function f(x) represents the linear relationship between f(x) and x because the slope remains constant.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope remains constant throughout the data.

Then the slope of the function f(x) at different stages is given as,

⇒ (14 - 10) / (2 - 1)

⇒ 4

⇒ (22 - 18) / (4 - 3)

⇒ 4

Then the slope of the function g(x) at different stages is given as,

⇒ (12- 10) / (2 - 1)

⇒ 2

⇒ (22 - 16) / (4 - 3)

⇒ 6

The function f(x) represents the linear relationship between f(x) and x because the slope remains constant.

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Answer:

denote the number of hits that sanchez had with since washington had 18 more hits than sanchez we can say that washington had + 18 hits.

since the total number of hits is 308 we can write

+ ( + 18) = 308.

This is an equation for finding .

2 + 18 = 308

2 = 290

= 145.

so sanchez had 145 hits.

to find the number of hits by washington add 18:

+ 18 = 145 + 18 = 163.

Answer: sanchez had 145 hits and washington had 163 hits.

Step-by-step explanation: