i need help with pre-algebra, how do you convert exponential expressions? please help!

Step-by-step explanation:

Let length is x and breadth is y.

The formula for the area and the perimeter of a rectangle is given by :

A = xy

P = 2(x+y)

Here, A = 8 mi² and P = 16 miles

Putting all the values,

xy = 8

y=8/x ......(1)

2(x+y) = 16

x+y = 8 .....(2)

Put equation (2) in equation (1) as follows :

[tex]x+\dfrac{8}{x}=8\\\\x^2+8=8x\\\\x^2-8x+8=0[/tex]

When we solve, we get :

x = 6.82 miles, 1.17 miles

Put the value of x in equation (1)

When x = 6.82 miles,

y = 8/6.82

y = 1.17 miles

When x = 1.17 miles,

y = 8/1.17

y = 6.82 miles

Hence, the dimension of the field is 6.82 miles and 1.17 miles.

Answer:

DEFINITION of Value Change

Value change is an adjustment made to a stock's price to reflect the number of outstanding stock shares issued and currently held by investors. A value change allows the group of stocks to be equally weighted and, therefore, more easily evaluated. Since the number of shares held by investors changes daily, this number can be updated daily to reflect the changes.

I am just giving you a definition but i dont know if this is going to help you

Step-by-step explanation:

Answer:

b 7

Step-by-step explanation:

open the bracket and the power gets cancelled because it will be 5/5

then answer will be 7 to the power 1 which is equals to 7

Answer

952.49feet

Step-by-step explanation:

This set up will be a right angled triangle

Height = opposite side = 425foot

Length of wire = hypotenuse= x

Angle of elevation= 26.5°

Using the SOH identity

Sin 26.5 = opp/hyp

Sin26.5 = 425/x

x = 425/sin26.5

x =425/0.4462

x = 952.49feet

Hence the length of the wire is 952.49feet

Answer:

It will cover 4.5 miles in 30 seconds.

Step-by-step explanation:

An airplane is flying from nyc to la.

The distance it travels in miles,d, is related to the to the time in seconds, t, by the equation :

d=0.15t ...(1)

Let us assume we need to find the distance at t = 30 s.

Put t = 30 s in equation (1).

d=0.15 × 30

d = 4.5 miles

Hence, it will cover 4.5 miles in 30 seconds.

Answer:

option 3

Step-by-step explanation:

Answer:

- 121 7/24

Step-by-step explanation:

Initial Position = 66 2/3 below sea level

Ascent = 24 1/8

Descent = 78 3/4

New position of submarine :

Since initial. Position is below sea level, we finite with a negative sign :

-66 2/3 = - 200 /3

Ascent is positive ; 24 1/8 = 193 / 8

-200 /3 + 193 / 8

(-1600 + 579) / 24

= - 1021 / 24

Descent = 78 3/4 (negative) downward

78 3/4 = - 315/ 4

-1021 / 24 - 315/4

(-1021 - 1890) / 24

= - 2911 / 24

= - 121 7/24

121 7/24 below sea level

Answer:

Step-by-step explanation:

Answer:

5a. ΔGKM ~ ΔSPM by SAS

b. ΔABC is not similar to ΔDEF

6. The missing side is 2[tex]\sqrt{11}[/tex]

Step-by-step explanation:

5a. Yes, the triangles are similar.

<KMG ≅ <PMS (vertically opposite angles)

      ΔGKM ~ ΔSPM by SAS

Ratio: GM:SM OR KM:PM

             3:6    OR  2:4

             1:2     OR  1:2

Ratio: 1:2

b. No, the triangles are not similar

   ΔABC is not similar to ΔDEF

Ratio: AC:DF OR AB:DE

         4:6       OR  2:4.5

         1:1.5      ≠     1:2.25

   Ratio: not similar

6. let the missing side of the triangle be represented by x. Since the triangle is a right angled triangle, then applying the Pythagoras theorem we have;

[tex]/hyp/^{2}[/tex] = [tex]/adj 1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]

[tex]/12/^{2}[/tex] = [tex]x^{2}[/tex] + [tex]/10/^{2}[/tex]

144 = [tex]x^{2}[/tex] + 100

[tex]x^{2}[/tex] = 144 - 100

   = 44

x = [tex]\sqrt{44}[/tex]

  = [tex]\sqrt{4 *11}[/tex]

  = 2[tex]\sqrt{11}[/tex]

x = 2[tex]\sqrt{11}[/tex]

The missing side is 2[tex]\sqrt{11}[/tex].

Answer:

C.

Step-by-step explanation:

A. Is false because citizens do not lose their citizenship if they fail to pay taxes.

B. Is false because not every tax paying citizen receives government assistance gets benifits like food stamps.

D. Is false because taxes don't go directly back to the people as cash payouts.

Answer:

The real answer is c.

Step-by-step explanation:

Taxes that we pay goes tords goverment things such as school. Smiles have a good day!

Step-by-step explanation:

The approximate tip is - 12.30$

Because bill is 81.79$

and tip - 15%

therefore bill amount divided by 15/100

==> 81.79* 15% is 12.30$

Answer:

Option C: 24 is the correct answer.

Step-by-step explanation:

Given that:

Jason used 0.5 cup of kernels to make 16 cups of popcorn

Ratio of cup of kernel to cups of popcorn = 0.5 : 16

Let,

x be the cups of popcorn made from 0.75 cups of kernel

Ratio of cups of kernel to cups of popcorn = 0.75 : x

This is a direct proportion as the cups of kernel is increasing.

0.5 : 16 :: 0.75 : x

Product of mean = Product of extreme

16*0.75 = 0.5x

12=0.5x

0.5x=12

Dividing both sides by 0.5

[tex]\frac{0.5x}{0.5}=\frac{12}{0.5}\\x=24[/tex]

Jason can make 24 cups of popcorn from 0.75 cups of kernel.

Hence,

Option C: 24 is the correct answer.

Answer:

%50

%-15

%40

%62.5

%27.5

%60

Step-by-step explanation:

Answer:

The answer is x=-16.

Step-by-step explanation:

I cant give you the step by step explanantion but I can later! I hope this helps thoough!

Answer:

S = 6r + 14

Step-by-step explanation:

14 is the intercept(which wont increase), and 6 is the slope which will increase with every ride

Answer:

This is as much as I could do.

Step-by-step explanation:

Steps r in pic below

Answer:

x= 3b- 4a, a€R, b€R

Step-by-step explanation:

1. Move variable to the right-hand side and change it's sign.

2. Write the solution X in parametric form.

Answer: h(g(x))= 2/6x-7

Step-by-step explanation:

1.h(g(x))= 2/(g(x))+3

2.g(x)= 3x-5

h(g(x))= 2/2(3x-5)+3

=2/6x-10+3

=2/6x-7

Answer:

Here you go!

Step-by-step explanation:

Hope this helped!

Answer: a=7

d=2

Step-by-step explanation:

Answer:

#2

Both functions have the same slope.

#3

The origin is the y-intercept for the function expressed in the table.

#5

The table and the graph express an equivalent function.

Answer:

B, C, E

Step-by-step explanation:

I got it right on edge

Answer:

you got the answer in the comment, i just want more points lol sorry

Step-by-step explanation:

Answer:

1. y=-4/3x+9

2. y=-4x+6

Step-by-step explanation:

1.y=-4/3x+b

put in 3,5 into equation

5=-4/3(3)+b

5=-4+b

9=b

so y=-4/3x+9

2. y=4x+b

2=4(-1) +b

2=-4+b

6=b

y=-4x+6

Answer:

1. W = 50 ft

2. L = 110 m

3. L = 61 m

Step-by-step explanation:

Area of a Rectangle

Given a rectangle of width W and length L, its area is calculated by the formula:

A = W.L

We are given three rectangle-shaped figures and are required to find different measures as explained below.

1. Length L=94 ft, Area = 4,700 square ft

We'll find the width by solving for W:

[tex]\displaystyle W = \frac{A}{L}[/tex]

[tex]\displaystyle W = \frac{4,700}{94}[/tex]

W = 50 ft

2. A=8,250 square m, W=75 m

We'll find the length by solving for L:

[tex]\displaystyle L = \frac{A}{W}[/tex]

[tex]\displaystyle L = \frac{8,250}{75}[/tex]

L = 110 m

3. A=1,586 square m, W=26 m

We'll find the length by solving for L:

[tex]\displaystyle L = \frac{A}{W}[/tex]

[tex]\displaystyle L = \frac{1,586}{26}[/tex]

L = 61 m