what is the rational exponent from of this expression

Answer: I Thing the answer may be 7units. Please correct  me if i'm wrong  

Step-by-step explanation:

Answer:

4 points

Step-by-step explanation:

.

Let  L  be the circumference of the circle.

Then the faster cyclist will catch the slower cyclist first time  when the faster cyclist will cover

the distance which exactly 1 circumference longer than the distance covered by the slower cyclist

9t-5t=l

It gives the time to get first meeting point

t=l/9-5=l/4 hours

and the distance which the faster cyclist covered during this time is

d1=9t=9l/4 miles

The distance which the slower cyclist covered during this time is

d2=5t=5l/4

The meeting point is geometrically the same point on the circle for both cyclists, and its angle measure on the circle is

 (1/l)(5l/(4)-l)=1/4

of the full angle of 2pi radians, or 90 degrees.

So, they started simultaneously, and their first meeting point is at the 90 degrees angle.

Next, they started from this point  SIMULTANEOUSLY  and . . . and everything was repeated.

Hence, their next meeting point is the point on the circle with the angle of 180 degrees.

So, there are 4 remarkable points on the circle: first point is the starting point, and 3 other points

(the points where whey meet/catch each other) are the images of the starting point, rotated 90°, 180°, and 270° along the circle.

There are 4 remarkable points on the circle which is the first point is the starting point and 3 other points.

The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.

The circumference of the circle = 2πr

Let  L represent the circumference of the circle.

Then the faster cyclist will catch the slower cyclist the first time when the faster cyclist will cover the distance which is exactly 1 circumference longer than the distance covered by the slower cyclist

9t - 5t = L

It gives them time to get the first meeting point

t = L/9 - 5

t = L/4 hours

The distance which the faster cyclist covered during this time;

d1 = 9t = 9L/4 miles

The distance that the slower cyclist covered during this time is

d2 = 5t = 5L/4

The meeting point is geometrically the same point on the circle for both cyclists, and its angle measured on the circle;

(1/l)(5l/(4)-l)=1/4

Therefore, their next meeting point is the point on the circle with an angle of 180 degrees.

So, there are 4 remarkable points on the circle which is the first point is the starting point and 3 other points.

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[tex]\frac{1}{15}[/tex] or 6.67%

In practice, the relative frequency of an event happening is the same as the probability that that event happened. In other words, the terms "relative frequency" and "probability" can be used interchangeably.

Now, the probability P(A) of an event A happening is given by;

P(A) = [tex]\frac{number-of-outcomes-in-the-event-A}{number-of-outcomes-in-the-sample-space}[/tex]

From the question;

The event A is the situation of local residents having a post office box. Therefore the;

number-of-outcomes-in-the-event-A = 8   [since only 8 of the local residents have a post office box]

number-of-outcomes-in-the-sample-space = 120 [since there are altogether 120 local residents]

Therefore,

P(A) = [tex]\frac{8}{120}[/tex]

P(A) = [tex]\frac{1}{15}[/tex]

The relative frequency that a local resident does not have a post office box for receiving a mail is therefore, [tex]\frac{1}{15}[/tex]

PS: Sometimes it is much more convenient to express relative frequencies as percentage. Therefore, the result above expressed in percentage gives:

[tex]\frac{1}{15} * 100%[/tex]% = 6.67%

Given the value [tex]12b^{5}[/tex] ; the coefficient of b is 12.

The Coefficient is a numerical value or constant which is used to multiply a variable; from the value given above ;

The variable is b ;

The Coefficient = 12 ; the coefficient is the value which is used fo multiply the variable b.

The power is the value to which the variable is raised.

Hence,

The Coefficient is 12 ; it is the value which multiplies the variable 'b' and the power is 5

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Answer:

Step-by-step explanation:

Slope intercept form :  y - y1 = m(x -x1)

m = 3/2

(x1, y1) = (6, 1)

[tex]y - 1 = \frac{3}{2}(x - 6)\\\\y -1 = \frac{3}{2}*x -\frac{3}{2}*6\\\\y-1=\frac{3}{2}x-3*3\\\\y-1=\frac{3}{2}x-9\\\\y=\frac{3}{2}x-9+1\\\\y=\frac{3}{2}x -8[/tex]

Answer:

y=3/2 x  -8

Step-by-step explanation:

The slope should be in front of the x and the y intercept should be right after the x to create the slope intercept form. I used a graphing calculator which continued the line of 6,1 with a slope of 3/2 and then got

y=3/2x-8

Answer:

Below

Step-by-step explanation:

B varies directly with the cube of t so:

● B = t^3

B varies inversly as u

● B = 1/u

Let's solve the equation for u:

B= 1/u = t^3

● B= 1/u

Switch u and B

● u = 1/B = 1/t^3

If u is 1 then b and t are also 1.

Answer:

12b^2+4ab−3ba−6

Step-by-step explanation:

12b2+4ab−3ba−6

The two middle terms are like terms, the order in which you multiply does not matter ab =ba

12 b^2 +4ab -3ab -6

12 b^2 +ab -6

The correct answer is....

If the degree and variables of two terms are same, then they are called like terms.

Here, 4ab and -3ab are like terms because both have same variables a and b with degree 1.

By combining like terms we get

In options B, C and D, there are no like terms, So only the expression  we can simplify by combining like terms.

Answer:

80 lamps

Step-by-step explanation:

number of lamp bases*no. of lampshades*no. of lightbulbs= total number of lamp choices

5*(3*3)*2

=5*9*2

=40*2

=80

hope it helps :)

Answer:

Option A)     [tex]\angle F\\[/tex] congruent with  [tex]\angle Q[/tex]

Step-by-step explanation:

There is only information about two sides in each triangle, so there is still the need of a third piece of info which can come from an angle like [tex]\angle F\\[/tex] congruent with  [tex]\angle Q[/tex], which are angles opposite to one of the given sides on each triangle.

Answer:

its b.

Step-by-step explanation: 5n − 19 + n + 7 = 144 − 6n

6n − 12 = 144 − 6n

12n = 156

n = 13

m∠z = (144−6n)°

m∠z = (144−6×13)°

m∠z = 66°

72 if * is exponents

Answer:

    3 > x

Step-by-step explanation:

–2(5 – 4x) < 6x – 4

Step 1: –10 + 8x < 6x – 4

Step 2: –10 < –2x – 4

Step 3: –6 < –2x

Step 4: divide each side by by -2, remembering to flip the inequality

   -6/-2 > -2/-2

    3 > x

Answer:

x < 3

Step-by-step explanation:

−2(5−4x)<6x−4

Use the distributive property to multiply −2 by 5−4x.

−10+8x<6x−4

Subtract 6x from both sides.

−10+8x−6x<−4

Combine 8x and −6x to get 2x.

−10+2x<−4

Add 10 to both sides.

2x<−4+10

Add −4 and 10 to get 6.

2x<6

Divide both sides by 2. Since 2 is >0, the inequality direction remains the same.

x= 6/2

Divide 6 by 2 to get 3.

x= 3

X< 3

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Answer:

3x^3/x = 3x^(3-1) = 3x^2

6x*y = 6xy

x^2y *y =  x^2y^(1+1) = x^2y^2

4y*y = 4y^2

Step-by-step explanation:

This can be solved using law of Indices.

The expression 3x^3 should be 3x^2.

Here power of x is three while in output power of x is two hence we need to eliminate power of x by one for that we divide 3x^3 by x

Rule: x^a/x^b = x^(a-b)

3x^3/x = 3x^(3-1) = 3x^2 (answer)

_________________________________

The expression 6x should be 6xy.

here term y is missing hence we multiply 6x with y

rule: a*b = ab

6x*y = 6xy  (answer)

_________________________________________________

The expression x^2y should be x^2y^2

Here we need power of y as 2, to do that we multiply  x^2y by y.

Rule

x^2*x^b  = x(a+b)

x^2y *y =  x^2y^(1+1) = x^2y^2  (answer)

_____________________________________________

The expression 4y should be 4y^2\

Here we need power of y as 2, to do that we multiply 4y by y.

Rule

x^2*x^b  = x(a+b)

4y*y = 4y^2   (answer)

Answer:

b:  the expression 6x should be 6xy

Step-by-step explanation:

i just did on edgen 2020

Answer:

False

Step-by-step explanation:

3x2 is 6 and 6 +4 is not 0 it is ten 10 norder of operations

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                Hi my lil bunny!

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Lets do this step by step.

Simplify [tex]\frac{3x - 2}{x} -4[/tex].

To write -4 as a fraction with a common denominator, multiply by [tex]\frac{x}{x}[/tex]

[tex]\frac{3x - 2}{x} - 4 . \frac{x}{x} > 0[/tex]

Combine  -4 and [tex]\frac{x}{x}[/tex].

[tex]\frac{3x - 2}{x} + \frac{-4x}{x} > 0[/tex]

Combine the numerators over the common denominator.

[tex]\frac{3x - 2 -4x}{x} > 0[/tex]

Subtract 4x from 3x.

[tex]\frac{-x -2}{x} > 0[/tex]

Factor -1 out of -x.

[tex]\frac{-(-x) -2}{x} >0[/tex]

Rewirte -2 as -1 (2).

[tex]\frac{-(x -1 (2)}{x} > 0[/tex]

Factor -1 out of - (x) - 1 (2).

[tex]\frac{-(x + 2)}{x} >0[/tex]

Simplify the Expression.

_______________

Rewrite - ( x + 2 ) as -1 ( x + 2 ) .

[tex]\frac{-1 ( x+ 2)}{x} > 0[/tex]

Move the negative in front of the fraction.

[tex]- \frac{x + 2}{x} > 0[/tex]

Then your going to find all the values where the expression switches from negative to positive by setting each factor equal to 0  and solving.

[tex]x = 0\\x + 2 = 0[/tex]

Subtract 2 from both sides of the equation.

[tex]x = -2[/tex]

Solve for each factor to find the values where the absolute value expression goes from negative to positive.

[tex]x = 0 \\x = -2[/tex]

Consolidate the solutions.

[tex]x = 0, -2[/tex]

________________

Find the domain of [tex]\frac{3x - 2}{x} -4[/tex]

_________________

Set the denominator in [tex]\frac{3x - 2}{x}[/tex]  equal to 0 to find where the expression is undefined.

[tex]x = 0[/tex]

The domain is all values of x that make the expression defined.

( - ∞, 0 ) ∪ ( 0 , ∞)

Use each root to create test intervals.

[tex]x < -2 \\-2 < x < 0 \\x > 0[/tex]

|Choose a test value from each interval and plug this value into the original inequality to determine which intervals satisfy the inequality.|

Test a value on the interval -2 < x < 0 to see if it makes the inequality true.

Ans : True

Test a value on the interval x > 0 to see if it makes the inequality true.

Ans : False

Test a value on the interval x < -2  to see if it makes the inequality true.

Ans : False

Compare the intervals to determine which ones satisfy the original inequality.

[tex]x < -2 = False\\-2 < x < 0 = True\\x > 0 = False[/tex]

The solution consists of all of the true intervals.

[tex]-2 < x < 0[/tex]

The result can be shown in multiple forms.

Inequality Form: [tex]-2 < x< 0[/tex]

Interval Notation: [tex]( -2 , 0 )[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Answer:

B. 15:1

Step-by-step explanation:

30/2=15/1

45/3=15/1

60/4=15/1

75/5=15/1

Hope this helps ;) ❤❤❤

The correct answer is B

Answer:

b) 1, -4, 6

Step-by-step explanation:

(x-y)^4=

(x-y)(x-y)(x-y)(x-y)=

(x^2-xy-xy-y^2)(x^2-xy-xy-y^2)=

(x^2-2xy-y^2)(x^2-2xy-y^2)=

x^4-4x^3y+6x^2y^2-4xy^3+y^4

Answer:

so u could write about its teeth

Step-by-step explanation:

and its legs or its scary presence or its long arms and it erupted from a haunted house

hope this helps : )

i would appreciate it if you can heart and like this answer and maybe even give it 5 stars or brainliest

Answer:

P=2x +2y

2x=2y-p

As given that 2x=2(10)+88

x=108/2

x=54cm

May be it's help you;)

Answer:

The length of each of the two equally long sides is 26 cm

The length of the longer side is 36 cm

Step-by-step explanation:

Let the length of each of the two equal sides be represented by x

The other side = 10 + x

Perimeter of triangle (P) = sum of all sides of the triangle

88 = x + x + 10 + x

88 = 3x + 10

3x = 88 - 10

3x = 78

x = 78/3 = 26

Length of each of the two equally long sides (x) = 26 cm

Length of the longer side = 10 + x = 10 + 26 = 36 cm

Answer:

[tex]\large \boxed{\sf \ \ \sum_{n=1}^{n=4} (5n + 2) = 58 \ \ }[/tex]

Step-by-step explanation:

Hello,

We need to compute the following:

[tex]\displaystyle \sum_{k=1}^{k=4} (5\cdot k + 2)= (5*1+2) + (5*2+2)+ (5*3+2) + (5*4+2)\\\\=7 + 12 + 17 + 22 = 19 + 39 = 58[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

exponential decay

Step-by-step explanation:

The function  f(x)=0.85ˣ is a exponential decay.

A relation is a function if it has only One y-value for each x-value.

The given function is f(x)=0.85ˣ.

The function f of x is equal to zero point eight five to the power of x.

Exponential decay refers to a process in which a quantity decreases over time, with the rate of decrease becoming proportionally smaller as the quantity gets smaller.

The function  f(x)=0.85ˣ is a exponential decay.

Hence, the function  f(x)=0.85ˣ is a exponential decay.

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Answer:

the data are skewed, D.

Step-by-step explanation:

Answer: D is correct if it is really (5.5-3.25)w=35.25

(Without parenthesis it doesn't work)

Answer:

B) 5.5 w - 3.25 = 35.25

Step-by-step explanation:

Chad charges $5.50 per window. ( 5.50w )

Since Chad's customer brought supplies, Chad would deduct $3.25. ( - 3.25)

The customer would be charged $35.25 at the end. ( = 35.25 )

So, the total of the cost of the windows minus the discount would be $35.25.

5.50w - 3.25 = 35.25

Option B's equation would be most appropriate to solve for w.

Answer:

[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]

Step-by-step explanation:

[tex]2x - 5 \le -x +12[/tex]

[tex]2x - 5 +5\le -x +12+5[/tex]

[tex]2x\le -x+17[/tex]

[tex]3x \le17[/tex]

[tex]$x \le \frac{17}{3} $[/tex]

We have

[tex]$\{x \in \mathbb{R}:x \le \frac{17}{3} \}$[/tex]

Interval notation:

[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]

Answer:

B. AD = sqrt(CD * BD)

Step-by-step explanation:

By the right triangle altitude theorem,

CD/AD = AD/BD

AD^2 = CD * BD

AD = sqrt(CD * BD)

Answer: B. AD = sqrt(CD * BD)

Answer:

B

Step-by-step explanation:

[tex]$\frac{CD}{AD} =\frac{AD}{BD} $[/tex]

[tex]AD^2=CD \cdot BD[/tex]

[tex]AD=\sqrt{CD \cdot BD}[/tex]

In this question, you are clearly supposed to use the geometric mean theorem or known as the right triangle altitude theorem. But note that there are other approaches to find the height of the triangle.

Using Pythagorean theorem:

[tex]AD^2+CD^2=AC^2 \Rightarrow AD=\sqrt{AC^2-CD^2}[/tex]

Also,

[tex]AD=AC\sin(c)[/tex]

Answer:

7. 1/3    8. 3/8

Step-by-step explanation:

7. 5 - 1/6 chance           1 out of 6 possibilities

6 - 1/6 chance           1 out of 6 possibilities

1/6+1/6 = 1/3

8. 3 a's out of 8 letters. 3/8

Answer:

7. 2/3

8. 3/8

Step-by-step explanation:

5 - 1/6

1/6

6 - 1/6

1/6

1/6+1/6 = 2/6 = 1/3

3 out of 8

3/8

Answer:

[tex]\boxed{a*b = 1.60 * 10^2}[/tex]

[tex]\boxed{a/b = 7.53 * 10^{-14}}[/tex]

[tex]\boxed{c/a = 1.59 * 10^{13}}[/tex]

Step-by-step explanation:

a = [tex]3.47 * 10^{-6}[/tex]

b = [tex]4.61 * 10^7[/tex]

c = [tex]5.52*10^7[/tex]

Finding a*b:

a*b =( [tex]3.47 * 10^{-6}[/tex] )*( [tex]4.61 * 10^7[/tex])

= (3.47*4.61) * ([tex]10^{-6}*10^7[/tex])

When bases are same, powers are to be added

= 15.997 * [tex]10^{-6+7}[/tex]

= 15.997 * [tex]10^1[/tex]

= 159.97

Rounding it off

=> 1.60 * 10²

Finding a/b:

=> [tex]\frac{3.47*10^{-6}}{4.61*10^7}[/tex]

Using rule of exponents [tex]a^m/a^n = a^{m-n}[/tex]

=> 0.753 * [tex]10^{-6-7}[/tex]

=> [tex]7.53*10^{-1}*10^{-13}[/tex]

=> [tex]7.53 * 10^{-1-13}[/tex]

=> 7.53 * 10⁻¹⁴

Finding c/a:

=> [tex]\frac{5.52 * 10^7}{3.47*10^{-6}}[/tex]

=> 1.59 * [tex]10^{7+6}[/tex]

=> 1.59 * 10¹³

Answer:

a × b = 1.60 × 10^2

a/b = 7.52 × 10^-14

c/a = 1.59 × 10^13

Step-by-step explanation:

a = 3.47 × 10^-6

b = 4.61 × 10^7

c = 5.52 × 10^7

Solve a × b

(3.47 × 10^-6) × (4.61 × 10^7)

When bases are same in multiplication, we add the exponents.

15.9967 × 10^1

Decimal point is after first non-zero digit. Round to hundredths.

1.60 × 10^2

Solve a/b

(3.47 × 10^-6)/(4.61 × 10^7)

When bases are same in division, subtract the exponents.

3.47/4.61 × 10^-14

0.75271149674 × 10^-14

Decimal point is after first non-zero digit. Round to hundredths.

7.52 × 10^-14

Solve c/a

(5.52 × 10^7)/(3.47 × 10^-6)

When bases are same in division, subtract the exponents.

5.52/3.47 × 10^13

1.59077809798 × 10^13

Round to hundredths.

1.59 × 10^13

Answer:

Draw a straight line through these two points (0, 0) and (1, 3).

Step-by-step explanation:

"Proportional relationship" implies line or curve that goes through the origin; there is no "y-intercept" in this case.  

Plot a dot at (0, 0).  Next, move your pencil point 1 unit to the right (you'll end up at (1, 0), and then move it from there up to (1, 3).  Draw a straight line through these two points (0, 0) and (1, 3).

Answer:

The unit rate of change of d with respect to t is 4/3.

The graph should be: (0,0) and (3/4).

Step-by-step explanation:

I got it wrong on khan academy :/

so i went over here and answer it

Hello!

Answer:

12 cm, 12 cm, 10 cm.

Step-by-step explanation:

Given:

Perimeter, or P = 34 cm

Ratio of sides = 6 : 6 : 5

To find the length of each side, we can use a variable in the ratio to find the perimeter:

34 = 6x + 6x + 5x

Combine like terms:

34 = 17x

Solve for x:

34/17 = 17x/17; x = 2

Plug in this value of "x" into each expression for the side-lengths:

6(2) = 12 cm

6(2) = 12 cm

5(2) = 10 cm

Therefore, the lengths of each side of the triangle are 12 cm, 12 cm, 10 cm.

Hope this helped you! :)

Answer:

12, 12 and 10 cm.

Step-by-step explanation:

6 + 6 + 5 = 17

So one side = 6/17 * 34 = 12 cm

One other side is also 12 cm

The third side = 5/17 * 34 = 10 cm.

Step-by-step explanation:

You can use the Pick's theorem:

[tex]A=i+\dfrac{b}{2}-1[/tex]

where

i - number of lattice points in the interior located in the polygon

b - number of lattice points on the boundary placed on the polygon's perimeter

[tex]1.\\i= 5;\ b=12\\\\A=5+\dfrac{12}{2}-1=5+6-1=10\\\\2.\\i=3;\ b=4\\\\A=3+\dfrac{4}{2}-1=3+2-1=4\\\\3.\\i=5;\ b=10\\\\A=5+\dfrac{10}{2}-1=5+5-1=9[/tex]

Answer:

Of course, the Pick's theorem is the way to solve this question, but consider:

Another approach is using topography:

Gauss's Area Calculation Formula:

[tex]$A=\frac{1}{2} \sum_{i=1}^{n} (x_{i} \cdot y_{i+1}-y_{i} \cdot x_{i+1})$[/tex]

Taking the purple one:

We have 6 points. I will name them:

[tex]A(0, 4);B(0, 0);C(1, 1);D(4, 0);E(4, 4);F(1, 2);[/tex]

[tex]$D=\begin{vmatrix}0& 0& 1 & 4& 4 & 1 & 0\\ 4& 0 & 1 & 0& 4 & 2 & 4 \end{vmatrix}$[/tex]

[tex]D=28-8=20[/tex]

[tex]$A=\frac{20}{2} =10$[/tex]

Answer:

78.5

Step-by-step explanation:

It is 78.5 because you first get the area of the circle, which is 314. Then divide 314 by 4 to get 78.5

The area of 1/4 of a circle with a radius of 10 is 78.5 units²

Given,

1/4 of a circle.

Radius = 10

π = 3.14

We need to find the area of 1/4 of a circle.

It is given as:

Area = πr²

Find the area of 1/4 of a circle.

We have,

Area of a circle = πr²

Radius = 10

1/4 area of a circle:

= 1/4 x πr²

= 1/4 x 3.14 x 10²

= 1/4 x 3.14 x 100

= 78.5 units²

Thus the area of 1/4 of a circle is 78.5 units²

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