Select the equivalent expression,
(9^6*7^-9)^-4 =?
Choose 1 answer:
А
9^24*7^-36
B
9^24/7^36
C
7^36/9^24

Answer: 0.008

Step-by-step explanation:

We have 3 experiments.

Each experiment is exactly the same: "Drawing the card with the number 5, out of a bag with five cards".

in a random selection all the cards have exactly the same probability of being drawn, so the probability of drawing the 5, is equal to the quotient between the number of cards with the 5 (only one) and the total number of cards in the bag (5) then the probability is:

p = 1/5.

And we want this event to happen 3 consecutive times, then the total probability is equal to the product of the probabilities for each event:

P = (1/5)*(1/5)*(1/5) = 1/125 = 0.008

Answer:

[tex]\boxed{\sf Option \ 1}[/tex]

Step-by-step explanation:

The profit is revenue (R ) - costs (C ).

Subtract the expression of costs (C ) from revenue (R ).

[tex]10x-0.01x^2-(2x+100)[/tex]

Distribute negative sign.

[tex]10x-0.01x^2-2x-100[/tex]

Combine like terms.

[tex]8x-0.01x^2-100[/tex]

The first option has a positive 100, which is wrong.

The rest options are right, when we expand brackets the result is same.

Answer:

(x-12)² + (y-6)² = 36 (Option C)

Step-by-step explanation:

use circle formula

(x-h)² + (y-k)²= r²

h= 12 and k= 6 and r= 6

(x-12)² + (y-6)² = 6²

6 squared = 36 (6·6)

(x-12)² + (y-6)² = 36

Answer:

Acute.

Step-by-step explanation:

An angle of measure between 0 and 90 degrees is an acute angle.

Answer:

p= 25/100 = 180/x

Step-by-step explanation:

In order to find the computer's original price, you must use the equation p= 25/100 = 180/x and solve for x.

Answer:

0.75p=p-180

Step-by-step explanation:

0.75p=p-180 is your answer

Answer:

Zero

Step-by-step explanation:

2+6=8 which means it can't be. It has to be a length higher than 10

Answer:

The third table is the correct answer

Step-by-step explanation:

Here in this question, we are concerned with determine which of the tables correctly represents what an exponential function is.

An exponential function is a function of the form;

y = x^n

where the independent variable x in this case is raised to a certain exponent so as to give the results on the dependent variable axis (y-axis)

In the table, we can see that we have 2 segments, one that contains digits 1,2 and so on while the other contains purely the powers of 10.

Now, let’s set up an exponential outlook;

y = 10^x

So we have;

1 = 10^0

10 = 10^1

1/10 = 10^-1

1000 = 10^3

1/100 = 10^-2

We can clearly see here that we have an increase in the value of y, depending on the value of the exponent.

However it is only this table that responds to this successive correctness as the other tables in the answer do have a point where they fail.

For example;

10^-2 is not 10 which makes the fourth table wrong

10^4 is not 100 which makes the first table wrong

we have same error on second table too

Greetings from Brasil...

In a triangle the sum of the internal angles is 180 °.... Thus,

Ô = 180 - 30

Ô = 60

The desired area is the area of the rectangle triangle, minus the area of the circular sector whose angle 60

A1 = area of the rectangle triangle

TG B = OA/AB

AB = OA / TG B

AB = 6 / TG 30

AB = 6√3

A1 = (AB . OA)/2

A1 = (6√3 . 6)/2

A2 = area of the circular sector

(rule of 3)

 º                       area

360    ------------   πR²

60     ------------    X

X = 60πR²/360

X = 6π

So,

Then the area shaded is:

A = A1 - A2

Answer:

the speed of the plane with no wind is 700 km/h and the speed of the wind is 100 km/h

Step-by-step explanation:

Let V be the speed of the plane and v the speed of the wind. Down current, they are in opposite directions, and the plane travels a a distance of 4000 km in 5 hours,so

5(V - v) = 4000

V - v = 800    (1)

For upwind movement, since the plane travels 3000 km in 5 hours, so

5(V + v) = 3000

V + v = 600 (2)

adding equations (1) and (2), we have

V - v = 800

+

V + v = 600

2V = 1400

V = 1400/2 = 700 km/h

subtracting equations (2) from (1), we have

V - v = 800

-

V + v = 600

-2v = 200

v = -200/2 = -100 km/h

So, the speed of the plane with no wind is 700 km/h and the speed of the wind is 100 km/h

Answer:

Step-by-step explanation:

y = r x

r is the constant of proportionality

To find r pick any values of x and y provided and substitute it into the above formula and solve for r.

That's

using

x = 2

y = 22

We have

22 = 2r

Divide both sides by 2

Therefore the constant of proportionality is 11

Hope this helps you

Answer:

Hey There!! The Correct answer is: The equation is w = 241(1.06)t

And here variable t represents the number of years since 2000.

In 2001 means t=2001 -2000 = 1

So we plug 1 for t in the given expression , that is w = 241(1.06)1 = 241 * 1.06 = 255.46

Therefore in 2001, it should be worth to 255.46.

And in the given expression 1.06=1 +0.06, where 0.06 is the annual percent of growth that is 6 % .

Hope It Helped!~ ♡

ItsNobody~ ☆

The projected annual percent of growth is 10% and the company worth in 2011 will be $587.74 millions. Then the correct option is C.

Consider the function:

y = a (1 ± r) ˣ

Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction or 100r %.

If there is a minus sign, then there is exponential decay happening by r fraction or 100r %.

The projected worth (in millions of dollars) of a large company is modeled by the equation is given as,

[tex]\rm w = 206\times (1.10)^t\\\\w = 206\times (1+0.10)^t[/tex]

Then the projected annual percent of growth is 10%.

The variable t represents the number of years since 2000.

Then the company worth in 2011 will be

w = 206 × 1.1¹¹

w = $587.74 millions

The projected annual percent of growth is 10% and the company worth in 2011 will be $587.74 millions.

Then the correct option is C.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ2

Answer:

So the quotient of [tex]\frac{x^{2} + x - 6}{x^{2} -6x + 5} X \frac{x^{2} + 2x - 3}{x^{2} -7x + 10}[/tex] has (x + 3)² in the numerator and (x + 5)² in the denominator.

Step-by-step explanation:

[tex]\frac{x^{2} + x - 6}{x^{2} -6x + 5} X \frac{x^{2} + 2x - 3}{x^{2} -7x + 10}[/tex]

Factorizing the expressions we have

[tex]\frac{x^{2} + 3x -2x - 6}{x^{2} -x - 5x + 5} X \frac{x^{2} + 3x - x - 3}{x^{2} -2x -5x + 10}[/tex]

[tex]\frac{x(x + 3)- 2(x + 3)}{x(x -1) - 5(x - 1)} X \frac{x(x + 3) - 1(x + 3)}{x(x - 2) - 5(x - 2)}[/tex]

[tex]\frac{(x + 3)(x - 2)}{(x - 5)(x - 1)}X\frac{(x + 3)(x - 1)}{(x - 2)(x - 5)}[/tex]

Cancelling out the like factors, (x -1) and (x - 2), we have

[tex]\frac{(x + 3)(x + 3)}{(x - 5)(x - 5)}[/tex]

= [tex]\frac{(x + 3)^{2} }{(x + 5)^{2} }[/tex]

So the quotient of [tex]\frac{x^{2} + x - 6}{x^{2} -6x + 5} X \frac{x^{2} + 2x - 3}{x^{2} -7x + 10}[/tex] has (x + 3)² in the numerator and (x + 5)² in the denominator.

Answer:

120

Step-by-step explanation:

Got it right on the assigment

Answer:

c. 120

Step-by-step explanation:

Steps to find MAD:

Step 1. Calculate mean([tex]\overline{x}[/tex]) of the data using formula: [tex]\overline{x}=\dfrac{\sum x}{n}[/tex] ,  where x denotes data points and n is the number of data points.

Step 2. Calculate distance of each data point from mean :

Distance = [tex]|x-\overline{x}|[/tex]

Step 3. Divide  distance of each data point from mean by n:

MAD = [tex]\dfrac{\sum |x-\overline{x}|}{n}[/tex] , which is the final computation to find MAD.

Answer:

d. $50,499

Step-by-step explanation:

Given:

S = 40,000 (1.06)^t

Where,

t=4 years

S=40,000(1.06)^4

=40,000(1.26247696)

=50,499.0784

To the nearest dollar

S=$50,499

The answer is d. $50,499

It is an equilateral triangle so its angles are equal 60°. From the definition, we know that:

[tex]\sin60^\circ=\dfrac{h}{4}[/tex]

and

[tex]\sin60^\circ=\dfrac{\sqrt{3}}{2}[/tex]

so

[tex]\dfrac{\sqrt{3}}{2}=\dfrac{h}{4}\quad \Big|\cdot4\\\\\\h=\dfrac{4\cdot\sqrt{3}}{2}\\\\\boxed{h=2\sqrt{3}}\\[/tex]

Answer:

h = √12

Step-by-step explanation:

use the Pythagorean

h² = 4² - 2²

h² = 16 - 4

h = √12

Answer:

w = 100°

Step-by-step explanation:

Opposite angles in an inscribed quadrilateral in a circle are supplementary.

Therefore, [tex] w + 80 = 180 [/tex]

Subtract 80 from both sides

[tex] w + 80 - 80 = 180 - 80 [/tex]

[tex] w = 100 [/tex]

The value of w = 100°

Answer:

x = -7

Step-by-step explanation:

DE + EF + FG = DG

2x+17 + 8+2 = x+20

Combine like terms

2x+ 27 = x+20

Subtract x from each side

2x+27-x = x+20-x

x+27 = 20

Subtract 27 from each side

x+27-27 = 20-27

x = -7

Answer:

1232.000

Step-by-step explanation:

Estimated distance across the river=1,232 meters

Find the approximate distance across the river to

the nearest thousandth of a meter

Note: Thousandth is having 3 values after the decimal point

This means we will round 1,232 meters to the nearest thousandth

1,232 is an whole number and decimal point can only be added at the end like this 1,232.

So we need 3 values after the decimal point.

We must add only values that wouldn't change the original 1,232 meters.

Therefore, zero (0) will be added

1232.000

Is to the nearest thousandth

Answer:

60 ships.

Step-by-step explanation:

Let the total number of ships in the naval fleet be represented by x

One-third of the fleet was captured = 1/3x

One-sixth was sunk = 1/6x

Two ships were destroyed by fire = 2

Let surviving ships be represented by y

One-seventh of the surviving ships were lost in a storm after the battle = 1/7y

Finally, the twenty-four remaining ships sailed home

The 24 remaining ships that sailed home =

y - 1/7y = 6/7y of the surviving fleet sailed home.

Hence

24 = 6/7y

24 = 6y/7

24 × 7/ 6

y = 168/6

y = 28

Therefore, total number of ships that survived is 28.

Surviving ships lost in the storm = 1/7y = 1/7 × 28 = 4

Total number of ships in the fleet(x) =

x = 1/3x + 1/6x + 2 + 28

Collect like terms

x - (1/3x + 1/6x) = 30

x - (1/2x) = 30

1/2x = 30

x = 30 ÷ 1/2

x = 30 × 2

x = 60

Therefore, ships that were in the fleet before the engagement were 60 ships.

Answer:

the 4th and 6th one

Step-by-step explanation:

A function is when there are x- and y-values but each x value has only 1      y-value

Simple: If the x-value is repeated its not a function

Answer:

Step-by-step explanation:

1,2,3

Answer:

D

Step-by-step explanation:

This would be using the SSS.

Which means knowing three sides.

The other options do not relate to any of the SSS, SAS, ASA, RHS

Hope that helped!!! k

Answer:

when you simplify you continue until you get to the simplest form but when you solve you continue until you get an answer. Solving gives you a value for a variable. You mean simplify and get 2x - 10 but when you solve you continue until you get x as 5

Step-by-step explanation:

Answer: ok, so simplifying is when you make something less complex or complicated. Solving means an expression can be used for representating  the solutions. for Example, say if you have the equation x+y=2x-1 is solved for the unknown x by the expression x=y+1. solving gives you the value for the variable. you know the difference by when you are simplifying you are trying to make the problem less complicated or less complex. and when you are solving you are trying to find the answer to the problem..

Step-by-step explanation:

Answer:

This is poorly written, so i will answer it as it was:

"Let f (x) = |2). Write a function g(x) whose graph is a vertical shrink by a factor of  A, followed by a translation 2 units up of the graph of f."

I don't really know what you do mean by I2), so i will answer it in a general way.

First, we do a vertical shrink of factor A.

A must be a number smaller than one and larger than zero., then if g(x) is a vertical shrink of factor A of the graph of f(x), we have that:

g(x) = A*f(x)

As 0 < A < 1

We will have that the graph of g(x) is a vertical compression of the graph of f(x)

Now we do a vertical shift of 2 units up.

A general vertical shift of N units up is written as:

g(x) = f(x) + N

Where N is a positive number.

So in our case, we have:

g(x) = A*f(x) + 2.

Where you will need to replace the values of A and f(x) depending on what the actual question says,

Answer:

The next step is;

Label the two intersection points

Step-by-step explanation:

To make a copy of an angle, the steps are;

1) Draw the rays of the original angle passing through the point B

2) Open the compass slightly and place the compass point on the vertices G where the two rays meet to draw an arc that intersect both rays

3) Label the point of intersection of both rays points C and D

4) With the compass still opened to the same width, move the compass to the point B on the line the angle is to be copied and draw a similar arc intersecting the ray at J

5) Open the compass to the width of C and D on the original angle and place the compass at point J to mark the arc on the copied angle location at M

6) Draw a line from B passing through M to complete the second ay of the copied angle.

Answer:

The number of measles vaccines that Dr. Potter give than polio vaccines is 30

Step-by-step explanation:

The parameters given are;

The number of doses given in a polio vaccine = 6 doses

The number of doses given in a measles vaccine = 3 doses

The number of vaccinations given by Dr. Potter last year = 60 vaccinations

The number of doses given in the 60 vaccinations = 225 doses

Let the number of polio vaccine given last year by Dr. Potter = x

Let the number of measles vaccine given last year by Dr. Potter = y

Therefore, we have;

6 × x + 3 × y = 225.......................(1)

x + y = 60.......................................(2)

From equation (2), we have;

x = 60 - y

Substituting the derived value for x in equation (1), we get;

6 × x + 3 × y = 225

6 × (60 - y) + 3 × y = 225

360 - 6·y + 3·y = 225

360 - 225 = 6·y - 3·y

135 = 3·y

y = 45

x = 60 - y = 60 - 45 = 15

Therefore;

The number of polio vaccine given last year by Dr. Potter = 15

The number of measles vaccine given last year by Dr. Potter = 45

The number of measles vaccines that Dr. Potter give than polio vaccines = 45 - 15 = 30 vaccines.

The number of measles vaccines that Dr. Potter give than polio vaccines =  30 vaccines.

Answer:

21

Step-by-step explanation:

4[tex]\frac{1}{5}[/tex] = [tex]\frac{21}{5}[/tex]

5 × [tex]\frac{21}{5}[/tex] = (5×21)/5

[tex]\frac{105}{5}[/tex] = 21

Answer:

x = -2

Step-by-step explanation:

To solve for x always get x on one side

First add 4 on each side, 4 + 7x - 4 = -18 + 4

Next subtract 18 from 4, making it -14    7x = -14

Now divide 7 on each side, x = -2