What is hierarchy for numbers, and what are 3 different number bases used when thinking about computers. g

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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The least common multiple of 598 and 45 is 26, 910

To find the least common multiple of 598 and 45, you can use the prime factorization method. This involves finding the prime factors of both 598 and 45 and then multiplying these prime factors when they are in their highest power.

This gives:

598 prime factorization :

2 x 13 x 23 = 598

45 prime factorization :

3 x 3 x 5 = 45

The least common multiple is;

= 2 x 13 x 23 x 3 x 3 x 5

= 26, 910

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um here’s the graph

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Answer:

The  chances of success for Archie is \(P(S|D) =  35\%\)

Step-by-step explanation:

From the question we are told that

 The distance of Sudland from Xhosas is   d =  100 miles

  The probability  of failure is  \(P(F) = 0.26\)

  The probability of choosing the desert route is   \(P(D) = \frac{1}{40} =  0.025\)

The probability of reaching Sudland through the mountain is  \(P(S|M) =0.75\)

Generally the probability of choosing the  mountains route is

         \(P(M) = 1 - P(D)\)

           \(P(M) = 1 - 0.025\)

             \(P(M) = 0.975\)

Generally the probability of success is mathematically represented as

       \(P(S) =  1- P(F)\)

         \(P(S) =  1- 0.26\)

          \(P(S) =  0.74\)

Generally the probability of success in reaching Sudland is also mathematically represented as

     \(P(S) =  P(S|M) * P(M) + P(S|D) * P(D)\)

=>   \(P(S|D) =  \frac{P(S) - P(S|M) * P(M)}{P(D)}\)

substituting values

=>  \(P(S|D) =  \frac{0.74 - 0.75 * 0.975}{0.025}\)  

=>  \(P(S|D) = 0.35 \)  

=>  \(P(S|D) =  35\%\)

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \sf \: ( 7 - ( - 1 ) ^ { 2 } ) + ( - 2 ) ^ { 2 }\)

Calculate -1 to the power of 2 to get 1.

\( \sf \: 7-1+\left(-2\right)^{2} \)

Subtract 1 from 7 to get 6.

\( \sf \: 6+\left(-2\right)^{2} \)

Calculate -2 to the power of 2 to get 4.

\( \sf \: 6+4 \)

Add 6 and 4 to get 10.

\( = \boxed{\boxed{\bf \: 10}}\)

Hey there!

(7 - (-1))² + (-2)²

= 7 - 1 + (-2)²

= 6 - 2²

= 6 - 4

= 10

Hope it helps ya!

Answer:

39

Step-by-step explanation:

6(6)-(-3)

36+3

Answer:

0.75 g ≤ 35

Step-by-step explanation:

if each games costs $0.75, then the answer of g will be given by 35/0.75.

he can go up to exactly $35 but not over

so, the inequality is given by 0.75 g ≤ 35

Answer:

To find the solution to f(x)=g(x), we need to find the point(s) where the two curves intersect.

The graph is not provided, but we can find the solution algebraically by setting the two functions equal to each other:

f(x) = g(x)

x^2 = 12^(x-1)

To solve for x, we can take the logarithm of both sides:

log(x^2) = log(12^(x-1))

2log(x) = (x-1)log(12)

2log(x) = xlog(12) - log(12)

2log(x) - xlog(12) = -log(12)

log(x^2) - log(12^x) = -log(12)

log(x^2/12^x) = -log(12)

log(x/12) = -log(12)

log(x) - log(12) = -log(12)

log(x) = 0

x = 1

Therefore, the solution to f(x)=g(x) is x=1.

Step-by-step explanation:

There are 504 possibilities are there for selecting an executive board.

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to a variety of possible arrangements or orders. With permutations, the arrangement's sequence is important.

Given the number of positions for executive board = 3

total members = 9

The problem is a permutation problem trying to select 3 from 9 where order matters.

a permutation is given by

ⁿpₓ = n!/(n - x)!

n = 9, x = 3

⁹P₃ = 9!/(9 - 3)!

⁹P₃ = (9*8*7*6!)/6!

⁹P₃ = 9*8*7

⁹P₃ = 504

Hence there are 504 possibilities.

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Answer:

The answer is number 2

Answer:

The answer would be 332.49

Step-by-step explanation:

The answer is 332.49 because the 3 in the thousands place would round down to 0 so the answer would be 332.49

Answer:

332.400

Step-by-step explanation:

It's asking  would not be a solution soo

(-10, -9) as you can see

You're welcome thank me later

Dalton's Atomic Theory (1804)

From his experiments and observations, as well as the work of peers of his time, Dalton proposed a new theory of the atom. This later became known as Dalton's atomic theory. The general tenets of this theory were as follows:

According to Dalton’s atomic theory, all matter, whether an element, a compound, or a mixture is composed of small particles called atoms.

Dalton based his theory on two laws: the law of conservation of mass and the law of constant composition.

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Answer:

3x + 14y

Step-by-step explanation:

(5x + 9y - z ) + (-2x + 7y + z)

5x + 9y - z - 2x + 7y + z

3x + 9y - z + 7y + z

3x + 14y

Answer:

it should take him 30 minutes to complete the download

I hope this helps! <3

Answer:

I suppose it should be

6b² and (6b²)²

or

6b² and 36\(b^{4}\)

Step-by-step explanation:

(a+b)² = a² + 2ab + b²

therefore

(6b²+2a)² = (6b²)² + 12ab² + 4a²

The missing information to make the equality true are 3b² and (3b²)². This can be obtained by using the algebraic identity (x+y)² =x² + 2xy + y².

Let the missing information be p and p²

Then the given equation will be: (p+2a)² =p² + 12ab² + 4a²

The algebraic identities is (x+y)² =x² +2xy+y²

Comparing the given equation with the algebra formula we get

y=2a

2xy =12ab² ⇒2x(2a) = 12 ab² ⇒ x = 3b²

Therefore the given equation will be

(3b²+2a)² = (3b²)²+12ab²+4a²

Hence the missing information to make the equality true are 3b² and (3b²)².

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Answer:  14.25x is the expression

It represents the total combined cost everyone paid.

=======================================================

Explanation:

Add up the price of a ticket, a medium drink, and a large popcorn.

7.50+2.75+4.00 = 14.25

Each person spends $14.25 for those three items.

If x is the unknown number of people, then 14.25x represents the total amount spent by everyone combined.

Example: x = 10 people, so 14.25x = 14.25*10 = 142.50 dollars total is spent by everyone combined.

Answer:

k = 7

Step-by-step explanation:

Step 1: Write equation

-18 = 5 - (6k - 19)

Step 2: Solve for k

Distribute negative: -18 = 5 - 6k + 19

Combine like terms: -18 = -6k + 24

Subtract 24 on both sides: -42 = -6k

Divide both sides by -6: k = 7

Step 3: Check

Plug in k to verify it's a solution.

-18 = 5 - (6(7) - 19)

-18 = 5 - (42 - 19)

-18 = 5 - 23

-18 = -18

Answer:

The letter "x" is often used in algebra to mean an unknown value. It is often called a "variable".

Example:

In x + 5 = 12, x is a variable, but we can work out its value if we try!

the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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Step-by-step explanation:

X^2 +4X +4=12 subtract the 12 from both sides

X^2 +4x-8= 0

now factor if possible since this equation is not factorable you can use the quadratic formula

Since the y-intercept of f(x)=4(3)ˣ is (0,4) and the y-intercept for the  table whose function is g(x) = 3²⁻ˣ is (0,9). See the attached graph. Hence, the function with the larger y-intercept is g(x) = 3²⁻ˣ.

In analytic geometry, a point where the graph of a given function or relation intersects with the y-axis of its coordinate system is known as the vertical intercept.

It obeys one standard convention: That all horizontals correspond to values on x and all verticals correspond to those on y. At these points, metrics assessing intersection require that x must always equal zero.

Hence, on the basis of the points at which the curve meets the y axis in  both graphs, we can correctly state that: the function with larger y-intercept is g(x) = 3²⁻ˣ.

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The end-points of the line segment will be negative 1.25 and 0.25.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The length of the line segment is 1.50 units and the midpoint of the line segment is negative 0.50. Then the end-points of the line segment are given as,

⇒ - 0.50 ± (1.50) / 2

Simplify the expression, then we have

⇒ - 0.50 ± (1.50) / 2

⇒ - 0.50 - (1.50) / 2, - 0.50 + (1.50) / 2

⇒ - 0.50 - 0.75, - 0.50 + 0.75

⇒ - 1.25, 0.25

The end-points of the line fragment will be negative 1.25 and 0.25.

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7 is not included and hence it is depicted on the number line using an open dot. Hence, solution to the inequality is option B.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

The given inequality is:

x + 8 > 15

Subtracting 8 on both sides of the equation:

x + 8 - 8 > 15 - 8

x > 7

Here, 7 is not included and hence it is depicted using an open dot.

Hence, option B is the correct answer.

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Answer:

300 we just finished the test...

Step-by-step explanation:

Answer:

hi Here's the Answer is 300 I Got just finished With the test.

Step-by-step explanation:

Answer:

Sarah needs to sell 16 signs.

Step-by-step explanation:

Let s be the number of signs Sarah sells.

(15.75- 3.50)x - > 185

12.25x > 185

x > 15.1