HELP ASAP!!!!!!!!!!!!

Answer:

\({ \tt{ - \frac{3}{8} + \frac{1}{6} }} \\ { \bf{l.c.m \: of \: 8 \: and \: 6 = 24}} \\ { \tt{formular = \frac{(l.c.m \times denominator \div numerator)}{l.c.m} }} \ \\ \\ = \frac{(24 \times 8 \div - 3) + (24 \times6 \div 1)}{24} \\ = - \frac{5}{24} \)

Answer:

Area= 56 cm²

Step-by-step explanation:

Figure given is a rhombus

Area= 1/2*d1*d2

Answer:

Can someone please help me with this question?

Step-by-step explanation:

Answer:

√3/10 = 0.1732

Step-by-step explanation:

√15 / 5√20 = (√5 x √3) / 5(√5 x √4) = √3 / (5 x√4) = √3 / 10

Answer:

300,000

Step-by-step explanation:

423 x 764 = 323,172

The current required to produce metal at a rate of 5.00 g/min is 274A

The electrolyte ion equation is;

Ni²⁺ (aq)  +  2e⁻   →   Ni (s)

Faradays constant = 9.65 * 10⁴ C/mol

Molar mass of Nickel = 58.69 g/mol

Number of moles of nickel; n_ni = 5 g/min * 1 mol/58.69 g/mol = 0.0852 mol

n_e = 0.0852 mol * 2/1

n_e = 0.170 mol

I = nF/t

where;

t is in minutes

F is faradays' constant

Thus;

I = (0.17 * 9.65 * 10⁴)/(1 * 60)

I = 274 A

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Step-by-step explanation:

to divide by a fraction is the same as to multiply by the upside-down fraction.

in your example

4 / 2/5 = 4 × 5/2 = 20/2 = 10

by the way, also a whole number is a fraction.

4 = 4/1

so, fully formal, the whole operation above looks like

(4/1) / (2/5) = (4/1) × (5/2) = (4×5) / (1×2) = 20/2 = 10/1 = 10

It takes 12 pennies to equal 1 inch when stacked and 44 pennies to equal 1 foot when side-by-side.

The thickness of a penny is approximately 1/16 of an inch. Therefore, it would take 16 pennies stacked together to equal 1 inch. On the other hand, the length of a penny is approximately 0.75 inches. To cover 1 foot (12 inches) using pennies side-by-side, we need 12/0.75 = 16 rows of pennies. Each row will have 16 pennies (since 16 pennies stacked together make 1 inch), so the total number of pennies needed is 16 x 16 = 256 pennies.

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Answer:

3 metre

Step-by-step explanation:

h= root of 2² - 1

= 4-1

3

x = -12

Given the following equation

We are to find the variable x. To do that, we will multiply both sides by -2 as shown:

This shows that the value of x for the equation to be true is -12

Check

If x = -12, on substiituting;

Since the result is equivalent to 6, this shows that the solution x = -12 is correct.

The 17th hole would be 255 yards long.

What are ratio and proportion?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

hole = c yards

1.5 / 40 = 8.5 /c

1.5 * c = 45 * 8.5

1.5 * c = 382.5

c = 255 yards

Hence, the 17th hole would be 255 yards long.

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Step-by-step explanation:

a negative exponent always means 1/...

so, e.g. 6^-2 means 1/(6²).

so,

\( {w}^{6} \times {w}^{ - 4} \)

= w⁶/w⁴

that means that if w⁶w⁴ is already prefilled, we need to counteract the w⁴ in the numerator of the fraction.

it would have to be then w⁶w⁴/w⁸

because we need to end up with w⁴ in the denominator (bottom part). and the only way we can do that, if we need to keep w⁴ in the numerator (top) part, is to put these w⁴ multiplied by another w⁴ (4+4 = 8, as multiplied exponents are added).

that would give us the expanded form of

w×w×w×w×w×w×w×w×w×w

---------------------------------------

w×w×w×w×w×w×w×w

and the simplified form

w²/1

\( {10}^{ - 3} \times {10}^{5} \)

gives us the same problem.

it is actually 10⁵/10³

but if 10³10⁵ is already predefined, then we must use the same trick as before. we must end up with 10³ in the denominator, so to compensate for the 10³ in the numerator, we must extra multiply this into the denominator :

10³10⁵/(10³10³) = 10³10⁵/10⁶

the expanded form of this would be

10×10×10×10×10×10×10×10

------------------------------------

10×10×10×10×10×10

with the simplified form

10²/1

and again similar with

\( {10x}^{3} \times {(10x)}^{ - 2} \)

which is actually

10x³/(10x)² = 10x³/100x²

again, if 10x³×(10x)² is predefined in the numerator, we need to compensate in the denominator for these extra (10x)².

so, we need then to put

10x³(10x)²/((10x)²(10x)²) = 10x³(10x)²/(10x)⁴

the expanded form would then be

10×x×x×x×10×x×10×x

-----------------------------

10×x×10×x×10×x×10×x

and the simplified form would be

x/10

if these entries (as seen in the picture) in the "make exponent positive" column are from you and not predefined by your teacher, then we use the example of the first line.

and then we have as indicated

w⁶/w⁴

wwwwww / wwww

w²/1

10⁵/10³

10×10×10×10×10 / 10×10×10

10²/1

10x³/(10x)²

10×x×x×x / 10×x×10×x

x/10

Answer:

1/4

Step-by-step explanation:

divide numerator and denominator by 3

Answer:

\(\frac{x-1}{x+2}\)

Step-by-step explanation:

simplifying the equation:  \(x^2-3x+2/x^2-1\)

1) Rewrite the equation so it's easier to understand:

\(\frac{x^2-3x+2}{x^2-4}\)

2) factor \(x^2-3x+2\):

\(x^2-3x+2\) \(=> (x-1)(x-2)\)

3) factor \(x^2-4\):

\(x^2-4 => (x+2)(x-2)\)

Meaning: \(\frac{(x-1)(x-2)}{(x+2)(x-2)}\)

4) Cancel the common factor: \((x-2)\) from the numerator and the denominator:

\(=\frac{x-1}{x+2}\)

Answer:

f(x) =  -2x -2 ;  -∞ < x < -4  and  -4 < x < ∞

               6      ;    x = -4

Step-by-step explanation:

         (-1,0)  and  (0 ,-2)

Find the slope using the points.

      \(\sf slope =\dfrac{y_2-y_1}{x_2-x_1}\)

               \(\sf = \dfrac{-2-0}{0-(-1)}\\\\=\dfrac{-2}{0+1}\\\\=-2\)

m = -2

Equation of line in slope y-intercept form: y =mx + b

 y = -2x + b

Plugin any of the point in the above equation. (0, -2)

 -2 = 0 + b

 b = -2

Equation:   y = -2x - 2

Hollow circle is the break point.

Function:

  f(x) =  -2x -2 ;  -∞ < x < -4  and  -4 < x < ∞

               6      ;    x = -4

The function graphed on the axes below as a piecewise function is \($f(x)=\left\{\begin{array}{l}-x-1, \text { for }-6 \leq x < 2 \\ -\frac{1}{2} x-4, \text { for } 2 < x < 6\end{array}\right.$\)

The upper piece of the graph is defined on the interval \($-6 \leq x < 2$\). It has a slope of -1 and a y-intercept of -1, so its equation is \($y=-x-1$\).

The lower piece of the graph is defined on the interval \($2 < x < 6$\). It has a slope of -1 / 2 and would cross the y-axis at -4 if it were extended. Its equation is

\(y=-1 / 2 x-4\)

The two pieces together give the function.

\(f(x)=\left\{\begin{aligned}-x-1, & \text { for }-6 \leq x < 2 \\-\frac{1}{2} x-4, \text { for } 2 < x < 6\end{aligned}\right.$$\)

The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

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Answer:

divide 3 and subtract

Step-by-step explanation:

if the triangle and rectangle lie on same base between same parallel line,

Area of rectangle=2Area of triangle

Let's assume the height of the wall as 'h' meters.

Given, the perimeter of the wall = area of the wall

The perimeter of the wall = 2(length + breadth) = 2(7+h) = 14+2h meters

The area of the wall = length × breadth = 7 × h = 7h square meters

According to the problem, the perimeter and area of the wall have the same value.

So, 7h = 14 + 2h

Subtracting 2h from both sides, we get:

5h = 14

Dividing both sides by 5, we get:

h = 2.8 meters

Therefore, the height of the wall is 2.8 meters.

Hence, the answer is 2.8 meters

Answer:

2.8 meters

I've done the quiz

The Electric field charge density (G) is 4.10 × 10^5 V/m.

To obtain the answer for Electric field charge density (G), use the formula below:

                                      E = σ/2πϵ₀d

        Where:E is electric fieldσ is the surface charge density d is the perpendicular distance between the point and the surface.ϵ₀ is the permittivity of free space.

In most textbooks, it is taken as 8.85 × 10^-12 C² N^-1 m^-2.

σ is a scalar quantity and has units of C/m². G is a scalar quantity and has units of V/m.

A scalar quantity is defined as a physical quantity with magnitude only and no direction.

To obtain the answer for Electric field charge density (G), use the formula below:

                              E = σ/2πϵ₀d

Now let's assume that the value of σ is 15 µC/m² and the value of d is 7 cm which is 0.07 m.

And the value of ϵ₀ is 8.85 × 10^-12 C² N^-1 m^-2.

Therefore, Electric field charge density (G) will be given as follows:G = Eσ=σ/2πϵ₀dG = (15 × 10^-6 C/m²)/(2π × 8.85 × 10^-12 C² N^-1 m^-2 × 0.07 m)G = 4.10 × 10^5 V/m

Therefore, the Electric field charge density (G) is 4.10 × 10^5 V/m.

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The basis for the null space M- of the given matrix M = [1 1 3 0; 2 3 0 1] with entries from Z5 is option c. {[1] [1]; [1] [4]}.

The null space of a matrix consists of all the vectors that, when multiplied by the matrix, result in the zero vector. In other words, it is the set of solutions to the homogeneous equation Mx = 0.To find the null space, we perform row reduction on the augmented matrix [M | 0] to obtain the row-reduced echelon form. In this case, after row reduction, we obtain the following matrix:[1 0 4 3; 0 1 1 1]

The pivot columns of this matrix correspond to the non-zero entries in the identity matrix, while the free columns correspond to the columns without pivots. Therefore, the free variables can be used to express the pivot variables.In the given matrix M, the third and fourth columns are the free columns. To construct a basis for the null space M-, we assign the free variables arbitrary values and solve for the corresponding pivot variables. This leads to the following vectors:

[1] [1]

[1] [4]

These vectors form a basis for the null space M-, as they span all the solutions to the equation Mx = 0.Therefore, the correct answer is c. {[1] [1]; [1] [4]}.

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Answer:

= 3 5/9

Step-by-step explanation:

2 2/3 × 1 5/7

= 8/3 × 12/7

= (8×12) / (3×7)

= 96/27

= 3 15/27

= 3 5/9

2 2/3 × 1 5/7 = 3 5/9

Answer:

120

Step-by-step explanation:

5!, called 5 factorial is the product of all positive intergers from 5 down though 1. by definition, 0! is 0.

Factorials are basically the number times itself-1 the 2 the 3 until it times it by itself-(itself-1). n!=n*(n-1)*n(n-2).....*n-(n-1).

For example 2!=2*1=2 and 6!=6*5*4*3*2*1=720

keep in mind that I am not an expert so the blanks I filled in might be wrong and the explanation might have errors

5!, called "5 factorial," is the product of all positive integers from 5 down through 1. By definition, 0! is equal to 1.

Factorial is a mathematical operation denoted by an exclamation mark (!). It represents the product of all positive integers from a given number down to 1. In the case of 5!, it is calculated as 5 × 4 × 3 × 2 × 1, resulting in the value of 120.

The exclamation mark notation allows us to represent the factorial of a number concisely. For example, 5! represents the factorial of 5. It is important to note that 0! is defined to be equal to 1. This is a special case in factorial calculations. While it may seem counterintuitive, it is defined this way to maintain consistency and enable certain mathematical calculations and formulas.

Therefore, 5! is the product of all positive integers from 5 down through 1, equaling 120, and 0! is defined to be 1.

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Answer:

Step-by-step explanation:

The image is not showing up

Answer:

Bring like terms together Bring like terms together. All equations have two sides.

Answer:

a. B is the correct equation

b. u = 5.8 sin(64°) = 5.2

The vector equation that is equivalent to the given system of equations is:

[x1, x2, x3] = [-59/112, -3/28, 29/112]t + [-1/16, -5/56, 11/112]u + [-31/112, 11/28, -3/112]v,

where t, u, and v are any real numbers.

The system of equations:

4x1 + x2 + 3x3 = 9

x1 - 7x2 - 2x3 = 28

x1 + 6x2 - 5x3 = 15

can be written in matrix form as AX = B, where:

A =  [4   1   3]

[1  -7  -2]

[1   6  -5]

X = [x1]

[x2]

[x3]

B = [9]

[28]

[15]

To convert this into a vector equation, we can write:

X = A^(-1)B,

where A^(-1) is the inverse of the matrix A. We can find the inverse by using row reduction or an inverse calculator. After performing the necessary calculations, we get:

A^(-1) = [-59/112  -3/28   29/112]

[-1/16   -5/56   11/112]

[-31/112  11/28  -3/112]

So the vector equation that is equivalent to the given system of equations is:

[x1, x2, x3] = [-59/112, -3/28, 29/112]t + [-1/16, -5/56, 11/112]u + [-31/112, 11/28, -3/112]v,

where t, u, and v are any real numbers.

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Probability that among a sample of 4 customers, they all exit through the same gate is 0.0123

What is binomial distribution?

The binomial distribution is the discrete probability distribution used in probability theory and statistics that only allows for Success or Failure as the possible outcomes of an experiment. For instance, if we flip a coin, there are only two conceivable results: heads or tails, and if we take a test, there are only two possible outcomes: pass or fail. A binomial probability distribution is another name for this distribution.

Given- One of three gates can be used by passengers to leave a subway station.

The probability of selecting any one gate =\(\frac{1}{3}\)

Sample size, n= 4

Using binomial distribution:

P(x) is the likelihood that an experiment will succeed in x trials, n is the number of trials, and p is the likelihood that an experiment will succeed in each trial.

Probability that among a sample of 4 customers, they all exit through the same gate P (4) is

= \((\frac{1}{3}) ^{3}\) \((\frac{2}{3} )^{0}\)

= (1) \((\frac{1}{3}) ^{4}\)

= 0.0123

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Answer:

4

Step-by-step explanation:

6n - n = 5n

13 + 7 = 20

5n = 20

20/5 = 4

n = 4

Answer:

n = 4

Step-by-step explanation:

To solve this, we first have to get the n's on one side:

\(6n - 7 = n + 13\)

↓ add 7 to both sides

\(6n = n + 20\)

↓ subtract n from both sides

\(5n = 20\)

Then, we can divide by 5 on both sides to solve for n.

\(n = 4\)

Answer:

Multiply the numerator by the reciprocal of the denominator to get 650 x 2 divided by 3. Then, multiple 650 and 2 which is 1300, then it is 1300 over 3, or 433.3, and it is repeating.

Step-by-step explanation:

By the concept of division by a fraction, 650 divided by 3/2 will result in \(433 \frac{1}{3}\).

We have to solve 650 divided by 3/2.

Mathematically, it can be expressed as:

650 ÷ \(\frac{3}{2}\)   -----(1)

To solve the above expression, at first we can apply the concept of dividing by a fraction. Which say that:

dividing by a fraction =  multiplying by the reciprocal of the fraction

And the reciprocal of any fraction is simply the ratio of denominator and numerator.

So, the reciprocal of  \(\frac{3}{2}\)  is \(\frac{2}{3}\) .

Then, expression (1) will be equivalent to

\(650 \div \frac{3}{2} = 650 \times \frac{2}{3}\)  ------(2)

That means we have to multiply 650 and fraction 2/3.

To get the multiplication of two fractions, we multiply the numerators together and the denominators together.

\(650 \times \frac{2}{3} = \frac{650\times 2}{3}\)

\(650 \times \frac{2}{3} = \frac{1300}{3}\)

\(650 \times \frac{2}{3} = \frac{1300}{3}\)

\(650 \times \frac{2}{3} = 433 \frac{1}{3}\)

Thus, from equation (2)  

\(650 \div \frac{3}{2} = 433 \frac{1}{3}\)

Hence, 650 divided by 3/2 is:

\(650 \div \frac{3}{2} = 433 \frac{1}{3}\)

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