How is -89 represented using 8-bit two's compliment? (the answer should be 8 binary digits)

The value of variable x for the given expression 2=x . 4/√3 is (√3 /2).

As given in the question,

Given expression :

2=x . 4/√3

To get the value of variable x

Multiply both the side of the expression by √3

2 × √3 =  ( x × 4 × √3 ) / √3

Divide both the side of the expression by 4

( 2 × √3 ) /4 = (x × 4 ) / 4

⇒ x = √3 / 2

Therefore, the value of variable x for the given expression 2=x . 4/√3 is

(√3 /2).

Learn more about value here

https://brainly.com/question/14459009

#SPJ4

Answer:

0.714

Step-by-step explanation:

Argument

The total number of cards = 5 yellow. 3 blue and 7 red = 15 cards in all.

The probability of choosing a yellow card first is 5/15 = 1/3.

We are now down to 14 cards

There are 3 blue cards.

P(yellow then blue) = 1/3 * 3/14

P(yellow then blue) = 1/14 = 0.0714

Answer:

Step-by-step explanation:

yes the answer is correct 100 + 30 = 130

mark me brainliest

Answer:

it is correct

Step-by-step explanation:

100

+ 30

___

=130

___

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ N(\stackrel{x_1}{5}~,~\stackrel{y_1}{-3})\qquad Q(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +5}{2}~~~ ,~~~ \cfrac{ y -3}{2} \right) ~~ = ~~\underset{midpoint}{\stackrel{\textit{\LARGE P}}{(3~~,~~-2)}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{x+5}{2}=3\implies x+5=6\implies \boxed{x=1} \\\\\\ \cfrac{ y -3}{2}=-2\implies y-3=-4\implies \boxed{y=-1}[/tex]

He will owe a simple interest of $229.50

Simple interest is defined as the extra amount of money that is paid by the lender to the borrower for the amount of money that is taken on loan when returning the amount.

The simple interest on the principal is calculated by using the formula

I = P · R · T ,

Here I is the interest , P is the principal , R is the rate and T is the time.

Given in the question the amount of money loaned = $3600 , this is the principal (P) ,

Rate (R) = 4.25% = 0.0425

Time (T) is given  18 months which is equivalent to 1.5 years

Now the interest will be calculated by :

I = 3600 × 0.0425 × 1.5

I = 229.50

Therefore the interest earned is $ 229.50 .

To learn more about simple interest visit:

https://brainly.com/question/25845758

#SPJ1

Question:✨Jin borrows $3,600 and plans to pay the loan off in 18 months. How much simple interest will he owe if it takes 18 months to repay the loan? Round to the nearest cent.

Answer: Ok took me a while to get the answer but

He will owe a simple interest of $229.50

Simple interest is defined as the extra amount of money that is paid by the lender to the borrower for the amount of money that is taken on loan when returning the amount.

The simple interest on the principal is calculated by using the formula

I = P · R · T ,

Here I is the interest , P is the principal , R is the rate and T is the time.

Given in the question the amount of money loaned = $3600 , this is the principal (P) ,

Rate (R) = 4.25% = 0.0425

Time (T) is given  18 months which is equivalent to 1.5 years

Now the interest will be calculated by :

I = 3600 × 0.0425 × 1.5

I = 229.50

Have an awesome night/day<3

you would divide both sides by 2. in this case that would be 2x/2 and 5/2.

The value of c so that cx-d=2x+4 has No Solution is c=2.

In the given question ,

we have

cx-d=2x+4       ....(i)

Given that d = 2 ,

We substitute the value of d=2 in equation (i)

On substituting we get

cx-2=2x+4

Simplifying further we get

cx=2x+4+2

cx=2x+6

cx-2x=6

x(c-2)=6

x=6/(c-2)

For x to have NO SOLUTION the denominator should be 0.

because when denominator becomes 0 the value becomes not defined , hence will have no solution.

Substituting the denominator = 0

we get c-2=0

c=2.

Therefore , the value of c so that cx-d=2x+4 has No Solution is c=2.

Learn more about Solution Of Equation here https://brainly.com/question/28307763

#SPJ1

Arithmetic Progression is a recursive mathematical sequence in which the next term is generated by adding the previous term with a fixed number that is called the Common difference represented by 'd'. This is calculated by the difference between any two terms in the given sequence.

The formula to calculate the 12th term of an Arithmetic Progression is :

                                    =>  [tex]a_{12} = a_{(12-1)} + d[/tex]    

Here, a = first term, n = nth term, and d = common difference

In the given question, First term a = 7, n = 12, and calculating d,

                                 => [tex]d = a_{2} - a_{1}[/tex]  => d = 6

But for a12 we need to find out a11, a10, a9, a8, a7, a6 using the same formula we get :

[tex]a_{6} = 37, a_{7} = 43, a_{8} = 49, a_{9} = 55, a_{10} = 61, a_{11} = 67[/tex]

Now for a12 we have a11 = 67, by using formula :

                                  [tex]a_{12} = a_{11} +d[/tex]

                                  [tex]a_{12} = 73[/tex]

To know more about Arithmetic Progression, Click here :

https://brainly.com/question/15412619

#SPJ4

We get the following order:

1, 4, 7, 10, ....

Given that each term has a common difference, this is an arithmetic

sequence. In this instance, the next item in the series is obtained by multiplying the preceding term by 3.

The formula for arithmetic series is as follows:

an = a + (n - 1)d

Our first term is now a1 = 1.

Common variation d=3

Therefore, by entering these numbers into the given formula,

an = 1 + (n-1)3

an = 3n - 2

To learn more about recursive series from given link

https://brainly.com/question/21286510

#SPJ4

Answer:

5 dollars a month

Step-by-step explanation:

There are 12 months in a year, so we divide the yearly amount by 12

60/12 = 5

5 dollars a month

Answer:

LCM = 27,720

Step-by-step explanation:

brainliest please

The true statements are as follows:

(6 ×3) ÷ (6 + 3) = 2

4 × 6 ÷ ( 3 × 8 )  = 1

3 × (3× 3) + 6 = 18

6 ÷ (4 - 3) + 8 = 14

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have the numbers 3, 4, 6, and 8 once in each exercise to make a true.

⇒ (6 ×3) ÷ (6 + 3) = 2

⇒ 4 × 6 ÷ ( 3 × 8 )  = 1

⇒ 3 × (3× 3) + 6 = 18

⇒ 6 ÷ (4 - 3) + 8 = 14

Thus, the required solution is shown above.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ1

The sequence  1/4, 1, 4, 16,  . . . . is a geometric sequence and its 10th term is 65,536

To determine whether the sequence is an arithmetic or geometric one, we need to check the relation between two consecutive terms.

If it is an arithmetic sequence, then:

 a(n) = a(n-1) + d

where d is the common difference.

If it is a geometric sequence, then:

 a(n) = a(n-1) . r

where r is the common ratio.

The given sequence is:

   1/4, 1, 4, 16,  . . . .

In this sequence:

a(1) = 1/4

a(2) = 1

a(3) = 4

a(4) = 16

Notice that

a(2) : a(1) = 1 : 1/4 = 4

a(3) : a(2) = 4 : 1 = 4

and so on

Since the ratio of consecutive terms are constant, then the given sequence is a geometric sequence. Furthermore, its ratio, r = 4.

To find the 10th term, use the formula:

a(n) = a(1) . rⁿ⁻¹

Substitute n = 10, r = 4, and a(1) = 1/4

a(10) = 1/4 . 4⁹

a(10) = 4⁸  = 65,536

Learn more about sequence here:

https://brainly.com/question/27360759

#SPJ4

  The value of the geometric mean of the numbers 20 and 25 is.

Gm ( 20, 25) = 10√5

To solve this problem we define geometric mean.

   The geometric mean is defined as a type of measure that is calculated as the root of a product between a set of numbers, it can be expressed as follows:

Gm (a,b,c) = √(a×b×c)

  Then in our case that we have the values 40 and 15, these are equivalent to the variables a and b

  We substitute and solve for the square root

Gm (20, 25) = √20×25

Gm (20, 25) = √500

Gm (20, 25) = √5×100

Gm ( 20, 25) = 10√5

Learn more about geometric mean in:

https://brainly.com/question/22440576

#SPJ4

Answer:

No; 1,200 will cause her to exceed 1,500.

Step-by-step explanation:

Luna has,

→ consumed 900 cal

→ burned 500 cal

She wants to keep her daily calorie,

→ 1,500 cal/day

Calories she have left to consume,

→ 1500 - (900 - 500)

→ 1500 - 400

→ 1100 cal

Hence, she has to consume 1100 cal more to reach 1,500 cal/day.

The solution for f in expression 21 = 7e - 4f is (7e - 21) / 4

Given,

The expression: 21 = 7e - 4f

We have to solve this expression for f:

Then,

21 = 7e - 4f

Add 4f to both sides

21 + 4f = 7e - 4f + 4f

Then we will get,

21 + 4f = 7e

Add -21 to both sides

21 + 4f - 21 = 7e - 21

Then we will get,

4f = 7e - 21

Take 4 from left hand side to right hand side.

That is,

f = (7e - 21) / 4

Therefore, the solution for f in expression 21 = 7e - 4f is (7e - 21) / 4

Learn more about solution for expressions here:

https://brainly.com/question/9111856

#SPJ1

The value of the 4 is in the hundredth value.

The values of the variable x, y and z are x = 4; y = 3 and z = 25.

Now, as per the given question, the three equations are given below;

x = 2y - 2  .......eq 1

z = 5x + 3y - 4    .........eq 2

3y = 9       ...............eq 3

From equation , calculate y.

3y = 9

y = 9/3 = 3.

Substitute the value of y in eq 1.

x = 2y - 2

x = 2×3 - 2

x = 6 - 2

x = 4

Now, put the value of x and y in equation 2.

z = 5x + 3y - 4

z = 5×4 + 3×3 - 4

z = 20 + 9 - 4

z = 25

Thus, the values of the three variables are;

x = 4; y = 3 and z = 25.

To know more about the method of substitution, here

https://brainly.com/question/22340165

#SPJ9

The rate of change of the volume is  9123 . 185   inches³/min.

What is volume of the sphere?

Volume of sphere is

   V = 4/3 π r³

differentiating with respect to time

[tex]\frac{dv}{dt} = \frac{4}{3} \pi . 3r^{2} . \frac{dr}{dt}[/tex]

[tex]\frac{dv}{dt} = 4\pi r^{2} . \frac{dr}{dt}[/tex]

now [tex]\frac{dr}{dt} = 6 inches/min ,[/tex]     when r = 11

[tex]\frac{dv}{dt} = 4\pi (11)^{2} . 6[/tex]

    = 2904 π      cubic inches per minute

    ≅ 9123 . 185   inches³/min

Learn more about sphere

brainly.com/question/11374994

#SPJ4

For n= 4 the term = 1/18

A geometric sequence is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Here the sequence is in a geometric sequence, as there is a common ratio between the two-term of the sequence.

Common ratio= 2/12 = [tex]\frac{1}{3}[/tex]/2=1/6

To find the nth term of the geometric sequence we have a formula

[tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]

where a = first term of the sequence

           r= common ratio

           n = number of term

To find the term where n= 4, we have,

[tex]a_{4}[/tex]= 12[tex]\frac{1}{6}^{4-1}[/tex]

   = 12[tex]\frac{1}{6}^{3} }[/tex]

   = 12/216

   =1/18

Therefore for n= 4 we have the term 1/18.

To know more about the geometric sequence refer to the link given below:

https://brainly.com/question/24643676

#SPJ4

The equation of the line in point-slope form, which passes through the pair of points located at (-1/2 , -1/2) and (-3 , -4), is y + 1/2 = 7/5(x + 1/2).

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).

Getting the slope of the two points: (-1/2 , -1/2) and (-3 , -4).

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

m = (-4 - -1/2)/(-3 - -1/2)

m = (-7/2)/(-5/2)

m = 7/5

Using the point slope form, plug in the values of the slope and one point to set up the equation.

(y - y1) = m(x - x1)

where m = 7/5 and (x1 , y1) = (-1/2 , -1/2)

(y - -1/2) = 7/5(x - -1/2)

y + 1/2 = 7/5(x + 1/2)

To learn more about equation of line in point slope form: brainly.com/question/24907633

#SPJ4

The percent decrease is 10.16%

Percent decrease can be calculated by dividing the decrease by the original value and multiplying by 100

The first step is to calculate the decrease

= 4.33 - 3.89

= 0.44

The percent decrease can be calculated as follows

= 0.44/4.33 × 100

= 0.1016 × 100

= 10.16

Hence the percent decrease is 10.16 %

Read more on percent decrease here

https://brainly.com/question/28322662?referrer=searchResults

#SPJ1

Answer:

(B)  10.16%

Step-by-step explanation:

Correct on my quiz.

The value of the reverse permutation is F-¹(3) = 5.

An inverse permutation is one in which each number as well as the number of the place it occupies are swapped.

For, the given values in the question;

So, if you remove the last point, (5,3), the inverse is a function because it contains only the points.

F= {(2, 6), (3, 1), (4, 5), and (5,3)}.

Thus, it can be written as;

F: 2 → 3 → 4 → 5

F: 6 → 1 → 5 → 3.

Thus, F-¹(3); 3 →  5.

F-¹(3) = 5.

Therefore, the value of the reverse permutation is F-¹(3) = 5.

To know more about the permutation, here

https://brainly.com/question/22409233

#SPJ9

Answer:

a₁ = 8 and r = 16

Step-by-step explanation:

the sequence has a common ratio r between consecutive terms and is therefore geometric , that is

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{2^{7} }{2^3}[/tex] = [tex]2^{(7-3)}[/tex] = [tex]2^{4}[/tex] = 16

r = [tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{2^{11} }{2^7}[/tex] = [tex]2^{(11-7)}[/tex] = [tex]2^{4}[/tex] = 16

r = [tex]\frac{a_{4} }{a_{3} }[/tex] = [tex]\frac{2^{15} }{2^{11} }[/tex] = [tex]2^{(15-11)}[/tex] = [tex]2^{4}[/tex] = 16

the first term a₁ = 2³ = 8

x less than or equal to 6 is the following is not a way to represent the solution of the inequality.

What is inequality in math?

2(x − 1) ≤ 10

2x - 2 ≤ 10

2x ≤ 10 + 2

2x ≤ 12

x ≤ 6

Learn more about inequality

brainly.com/question/20383699

#SPJ9

4600 is the loan's future value, a, or the total amount due at time t.

What Is Simple Interest?

P=$4000

r=5%

t=3 years

Now we have to find th loans future value A.

So

Simple interest me I=prt=(4000)(.05)(3)=600

Total due is Principal + Interest =4000+600= 4600

Learn more about Simple Interest

brainly.com/question/25845758

#SPJ4

Sum of the two separate equations.

The values satisfies the equation is 2430.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Given that,

Equations for the two separate days :

125a +65 s = 1,200 - - - Friday

140a +50s = 1,230 - - - Saturday

Because, Inputting the solution, satisfied the equation:

a = 7 ; s = 5

265a+115s=2430

265(7) + 115(5) = 2430

1855 + 575 = 2430.

Therefore, The values satisfies the equation is 2430.

To know more about equation visit:

https://brainly.com/question/10413253

#SPJ9

The probability that the break will occur within 20 meters of a pole is 12.5%.

Probability:

The term probability refers the possible occurrence of the required event.

Given,

A 320 meter long tightrope is suspended between two poles.

Here we assume that the line has an equal chance of breaking anywhere along its length.

Now, we need to determine the probability that the break will occur within 20 meters of a pole.

From the given question,

The line has an equal chance of breaking anywhere along its length.

The first and last 20meters form,

=> [ (20 + 20) / 320 ] x 100

=> [ 40 / 320 ] x 100

=> [ 1 / 8 ] x 100

=> 12.5 %.

Therefore, the probability that a break will occur within 20 meters of a pole is about 12.5%.

To know more about Probability here.

https://brainly.com/question/9793303

#SPJ4

Answer:

Tell what each power means but don't determine its value