(3 -/ 5) power 10 divided (3 -/ 5) power 8


simplify and express in exponential form

LAW 2: The second law of indices tells us that when dividing a number with an exponent by the same number with an exponent, we have to subtract the powers. In algebraic form, this rule is as follows . The a represents the number that is divided by itself and m and n represent the powers.

Answer:

The second law of indices tells us that when dividing a number with an exponent by the same number with an exponent, we have to subtract the powers. The a represents the number that is divided by itself and m and n represent the powers. Here is an example for this rule.

Step-by-step explanation:

3x+27-7-0=3x+20

gradient=3

y=mx+c

4=3(-1)+c

4+3=7

c=7

y=3x+7

Answer:

B: Subtraction property of equality

Answer:

b) 94

Step-by-step explanation:

The Total Degree of a Triangle is 180 degrees. Knowing this, set up an equation.

68+26+x=180.

x is the complementary angle of the "?" angle.

Solve the equation.

94+x=180

x=86

Then Subtract 86 from 180 to find "?"

180-86=94

I hope this helps!

Answer:

94;b

Step-by-step explanation:

68+26=94. 180-94=86. 180-86=94.

Answer:

2.5%

Step-by-step explanation:

Given :

Mean, μ = 190

Standard deviation, σ = 30

Probability that more than 250 books are borrowed ;

x = 250

P(Z > z)

Z = (x - μ) / σ

P[Z > (x - μ) / σ] = P[Z > (250 - 190) / 30]

P(Z > z) = P(Z > 2)

P(Z > 2) = 1 - P(Z < 2) = 1 - 0.97725

P(Z > 2) = 1 - P(Z < 2) = 0.02275

(0.02275 * 100)% = 2.275%

2.5% is closest to 2.275%

Answer:

.574

Step-by-step explanation:

This can be inputted in a calculator to achieve .57357643

To three decimal places that is .574

Given

A rectangular park of length 60 m breadth 50 m encloses with volleyball court of length 18 m and breadth 10 m.

To find:

The area of the park excluding the court at the rate of Rs 110 per square meter.​

Solution:

Area of a rectangle is:

[tex]Area=length \times breadth[/tex]

Area of whole park is:

[tex]A_1=60 \times 50[/tex]

[tex]A_1=3000[/tex]

Area of volleyball court is:

[tex]A_2=18 \times 10[/tex]

[tex]A_2=180[/tex]

Now, the area of the park excluding the court is:

[tex]A=A_1-A_2[/tex]

[tex]A=3000-180[/tex]

[tex]A=2820[/tex]

Therefore, the area of the park excluding the court is 2820 square meter.

Answer:

a=3 and b=-2

Step-by-step explanation:

We are given that five  terms of a quadratic sequence are

1 8, 21, 40, 65.

The nth term of this sequence

=[tex]an^2+bn[/tex]

We have to find the value of a and b where a and b are integers.

For n=1

[tex]a+b=1[/tex]   ......(1)

For n=2

[tex](2)^2a+2b=8[/tex]

[tex]4a+2b=8[/tex]

[tex]2a+b=4[/tex]   .....(2)

Subtract equation (1) from (2) we get

[tex]2a-a=4-1=3[/tex]

[tex]a=3[/tex]

Using the value of a=3 in equation (1)

[tex]3+b=1[/tex]

[tex]b=1-3=-2[/tex]

Hence, the value of

a=3 and b=-2

Answer:

1625

6500 * .5 * .5 =

6500 * .25 = 1625

Step-by-step explanation:

Answer:

0.1269 = 12.69% probability that the entire batch will be rejected.

Step-by-step explanation:

CD's are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

4500 CDs, which means that [tex]N = 5000[/tex]

150 defective, which means that [tex]k = 150[/tex]

4 are selected, which means that [tex]n = 4[/tex]

What is the probability that the entire batch will be rejected?

At least 1 defective, which is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,4500,4,150) = \frac{C_{150,0}*C_{4350,4}}{C_{4500,4}} = 0.8731[/tex]

So

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8731 = 0.1269[/tex]

0.1269 = 12.69% probability that the entire batch will be rejected.

Answer:

S.I = $1,608,000

Step-by-step explanation:

Given the following data;

To find the simple interest, we would use the formula;

S.I = PRT

Where;

Since the interest is being paid every two months (six times a year), the 4% interest will be divided by 6.

Thus: 4% every two months = [tex] 4 * \frac {2}{12} [/tex] = [tex] \frac {8}{12} [/tex]  = 0.67% = 0.0067

4 years = 4 * 6 = 24 two-month years.

Substituting the values into the formula, we have;

S.I = 10.000.000 * 0.0067 * 24

S.I = $1,608,000

Answer:

It's a square with four equal sides each side is 6cm. The angles at the four edges are all same have 90° between each two sides. You can calculate the area of the four triangles by using the formula 1/2 × hight × base. The hight will be 6 divided by 2 which is equal 3cm, and the base will be 6cm. So the area of each triangle is 1/2×3×6=9cm^2.

Answer:

You are good on it

Step-by-step explanation:

Woplor

Answer:

Answer is in the picture.

Answer:

R0, 90°

R0, –270

Step-by-step explanation:

Answer:

A, E

Step-by-step explanation:

Cos(angle) = adjacent leg/ hypotenuse

Cos(61) = x/19

X = 19 * cos(61)

X = 9.2114

Rounded to the nearest tenth = 9.2

Answer:

5sqrt2

Step-by-step explanation:

Using the pythagorean theorem, we get 5^2+5^2=c^2. C is the diagonal here. 25+25=c^2, c^2=50. c=sqrt50. Simplifying it, we get the diagonal as 5sqrt2.

Answer:

45:13/36

46:86/63

47:19/42

48:9/10

49:1/12

Answer:

a) X( w ) = 1 /jw -   e^-jw / jw

b) X1(t) = 1  for  0.5  

   X1(t) = 0 for elsewhere

Step-by-step explanation:

x(t) continuous time function = 1

interval ( 0,1 )   also x(t) = 0 outside the given interval

a) Determine the continuous time Fourier transformation of x(t)

x( t ) = u(t) - u(t - 1 )

x ( w ) = 1 /jw -   e^-jw / jw

b) supposing x1(t) = x(2t)

x1(t) = u(t) - u ( t - 0.5 )

x1(t) = 1  for  0.5  

x1(t) = 0 for elsewhere

Answer:

27

Step-by-step explanation:

The centroid divide a median in two parts, with ratio 1/3 and 2/3.

In particular the part between the centroid and the point where the median touches the side is 1/3 of the median.

We can build this proportion:

ST : 1/3 = IT : 3/3

9 : 1/3 = IT : 1

IT = 9 * 3 = 27

[tex]\sin(66) = \frac{49}{x} \\ 0.913 = \frac{49}{x} \\ x = 53.6 \\ x = 54[/tex]

The missing side is 53.6 units for the given right triangle.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The right triangle is given in the question, as shown.

The ratio of the length of the side opposite the angle to the length of the hypotenuse of the triangle. The sine function is denoted by the symbol "sin" and is defined as follows:

sin(θ) = opposite / hypotenuse

Here, θ = 66°

Using the sine ratio in the given triangle, we get

sin 66° = perdenicular/hypertanuas

Substitute the known values in the above ratio,

sin 66° = 49/x

x = 49/sin 66°

x = 53.63717

Rounded to the nearest tenth,

x ≈ 53.6

Thus, the missing side is 53.6 units for the given right triangle.

Learn more about the right triangle here:

https://brainly.com/question/11899922

#SPJ7

Answer:

$95.52

Step-by-step explanation:

Number of robots = 3

Cost of each robots = $398

Tax rate = 8%

Amount of tax of each robots = 8% of $398

= 8/100 × $398

= 0.08 × $398

= $31.84

TOTAL TAX to be paid = Amount of tax of each robots × Number of robots

= $31.84 × 3

= $95.52

TOTAL TAX to be paid = $95.52

Answer:

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

Step-by-step explanation:

f(x) = x^2

Shifting to theright is of the form

f (x – b) shifts the function b units to the right.

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

Answer: S=100.

Step-by-step explanation:

Since 8 is 8% of 100 we know this is right.

Answer:

S = 100

Step-by-step explanation:

The equation is 8/? = 8/100

Multiply 8 x 100 to get 800, then divide by 8% to get 100.

Answer:

x = 44.8

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos 48 = 30/x

x cos 48 = 30

x = 30 / cos 48

x=44.83429

Rounding to the nearest tenth

x = 44.8

Answer:

4x^2 +2x +1

Step-by-step explanation:

(4x^3 -14x^2 -7x-4) / (x-4)

Using synthetic division

Bringing  down the 4  and multiplying  and adding

4      4   -14  -7  -4

       ↓   16   8   4

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

      4     2    1   0

The quotient is  4x^2 +2x +1  and the remainder is 0

Answer:

[tex] {4x}^{2} + 2x + 1[/tex]

Step-by-step explanation:

the most handy way to solve the question is Polynomial long division which is done below:

[tex] \begin{array}{ccc} \qquad {4x}^{2} + 2x + 1 \\ \hline x - 4 \Bigg)4 {x}^{3} - {14x}^{2} - 7x - 4 \\ - {4x}^{3} + 16 {x}^{2} \\ \hline \qquad \qquad \qquad {2x}^{2} - 7x - 4 \\ \qquad \qquad- {2x}^{2} + 8x \\ \hline \qquad \qquad \qquad \qquad \qquad x - 4 \\ \qquad \qquad \qquad \qquad \qquad - x + 4 \\ \hline\qquad \qquad \qquad \qquad \qquad0 \end{array}[/tex]

since our remainder is 0 we'll put the answer in P(x) form only

note: please see the answer in the brainly app for a better view