Please help I will give brainliest.

Answer:

  1/(8b^2a^8)

Step-by-step explanation:

The given expression can be simplified using the rules of exponents.

  [tex]ba^4\times(2ba^4)^{-3}=\dfrac{ba^4}{(2ba^4)^3}=\dfrac{ba^4}{8(ba^4)^3}=\dfrac{1}{8(ba^4)^2}=\boxed{\dfrac{1}{8b^2a^8}}[/tex]

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The applicable rules of exponents are ...

  a^-b = 1/a^b

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

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Additional comment

It can be useful to think of an exponent as indicating repeated multiplication: 2^3 = 2×2×2, for example. Of course, the repeated multiplication can be nested: (4^2)^3 = (4^2)×(4^2)×(4^2) = (4×4)×(4×4)×(4×4) = 4^6

Numerator and denominator factors cancel in the usual way.

Answer:

36ft

Step-by-step explanation:

9ft times 4ft= 36ft

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$25000\\ P=\textit{original amount deposited}\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &5 \end{cases}[/tex]

[tex]25000=P\left(1+\frac{0.08}{12}\right)^{12\cdot 5}\implies 25000=P\left( \frac{151}{150} \right)^{60} \\\\\\ \cfrac{25000}{\left( \frac{151}{150} \right)^{60}}=P\implies 16780.26 \approx P[/tex]

Answer:

x = y = - 1

Step-by-step explanation:

y = - 2x - 3

y = 7x + 6 -----> equation 1.

So,

7x + 6 = - 2x - 3

7x + 2x = - 3 - 6

9x = - 9

Divide 9 on both sides,

9x / 9 = - 9 / 9

x = - 1

Substitute x = - 1 in equation 1,

y = 7x + 6

  = 7 ( - 1 ) + 6

  = - 7 + 6

  = 6 - 7

y = - 1

Therefore,

x = y = - 1

Step-by-step explanation:

please mark me as brainlest

Answer:

x = 4

y = -6

Step-by-step explanation:

5x + 2y = 8

8x + 4y = 8

-2(5x + 2y) = -2(8)

8x + 4y = 8

-10x -4y = -16

8x + 4y = 8

-10x -4y + 8x + 4y = -16 + 8

-2x = -8

x = 4

plug 4 into x so y = -6

Answer: 343pi/18

Step-by-step explanation:

Answer:Cost = $33 per month + Fee 1.  C(m) = 33m + F 33(6) + F = 228198 + F = 228F = $30 membership fee C(m) = 33m + 30 2.  At 9 months:  33(9) + 30 = $327

Step-by-step explanation:

Step-by-step explanation:

please mark me as brainlest

Answer:

for profit percentage

p% =(sp-cp/cp)×100%

=(25-20/20)×100%

=25%

The profit percentage is 25%

Answer:

h= 7/6 mm

Step-by-step explanation:

hello :

the area is :  A= (b+B)×h/2

calculate h the height  : 2A = (b+B)×h

so:  h = 2A/(b+B)

you have : A=21/5   and  b= 3    and B= 21/5

h= 2(21/5)/(3+21/5)

h= (42/5) /(36/5)

h= 42/36

h= 7/6 mm

Answer:

800m

Step-by-step explanation:

If 100cm is equivalent to a meter (1 Meter). 8 Meters would be equivalent to 8 Meters multiplied by 100cm and divided by a meter (1 Meter)

The graph with an equation y = 6x has a slope of 6. If the slope is changed to 0, the equation becomes y = 0.

A linear function is in the form:

y = mx + b

Where m is the slope (rate of change) and b is the y intercept

The graph with an equation y = 6x has a slope of 6. If the slope is changed to 0, the equation becomes y = 0.

Find out more on linear function at: https://brainly.com/question/4025726

Answer: -63.5 feet per mintue

Step-by-step explanation:

      We can look at what the problem is asking for, and solve. It says average change in altitude per minute:

[tex]\frac{altitude}{minute}[/tex] = [tex]\frac{1,524}{24}[/tex] = 63.5 feet per mintue

      Since she is hiking down the mountainside, this will be negative. We arrive at our final answer of:

      -63.5 feet per mintue

Answer:

there is not enough information to solve

Step-by-step explanation:

You need two ordered pairs to calculate the average rate of change.

Let's say the value of the function at n = 1 is a, and the value of the function at n = 3 is b, then the average rate of change from n = 1 to n = 3 is

(b - a)/(3 - 1) = (b - a)/2

X/6 = 15/18

Cross multiply:

18x = 15 times 6

18x = 90

Divide both sides by 18

X = 5

5/6 = 15/18

Answer:

Step-by-step explanation:

X= 15  x6

     18

I guess it is correct

Answer: 3.75 is at it's lowest terms. if you mean fractions its 15/4 or 3 & 3/4

Step-by-step explanation:

Answer:4mL

Step-by-step explanation: if you multiply 18 by 2.2 you would get 39.6, you would divide by 10 to get 3.96, then you would round to the nearest whole number so you’d get 4.

By using a change of units, we will see that the dog needs 4 mL of medication.

Here we need to see how many pounds are in 18 kilograms, using the relation:

1kg = 2.2lb

We get:

18 kg = 18*(2.2lb) = 39.6 lb

Now, for each 10 lb, we add 1mL of medication, then we need to divide the mass of the dog by 10lb, we get:

M = (39.6 lb)/(10 lb) = 3.96

Rounding to the next whole number we get 4, so the dog needs 4 mL of medication.

If you want to learn more about changes of units:

https://brainly.com/question/9032119

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Answer:

x = 61

y = 29

Step-by-step explanation:

The angle with the measure of 58 degrees and the angle represented by 2x are supplementary because they form a straight line.

2x + 58 = 180 subtract 58 from both sides

2x = 122 divide both sides by 2

x = 61

The angle represented by 2x and the angle represented by 58 are corresponding and their measure is equal to each other

2y = 58 divide both sides by 2

y = 29

Answer:

At both 0.78 and 1.3 seconds, to the nearest hundredth, the ball will be at 20 feet.  

Step-by-step explanation:

We can use two approaches to finding the answer:  Calculation and Graphing.

Calculation:

Set h to 20 feet and solve the equation using the quadratic formula.

h= 4 + 33t - 16t^2

20= 4 + 33t - 16t^2

- 16t^2 + 33t + 4 = 20

- 16t^2 + 33t + -16 = 0

Solve using the quadratic formula.  I find solutions of 0.779 and 1.28 seconds.

Graphing:

See the attached graph.

The ball is at 20 feet at 0.783 seconds on the way up and 1.28 seconds on the way back down.

===

Both approaches agree:  0.78 and 1.3 seconds, to the nearest hundredth, the ball will be at 20 feet.  

Answer:

D

Step-by-step explanation:

this is not standard form

Answer:

D

Step-by-step explanation:

The first number should be equal to or greater than one but less than 10

[tex]5^{7/3} = 42.75[/tex] (approximately)

using the formula [tex]x^{a/b}=\sqrt[b]{x^a}[/tex] we can solve the problem

so we rewrite it as [tex]\sqrt[3]{5^7}[/tex] and get ~42.75

Answer:

2.3 miles

Step-by-step explanation:

Given by the circular pattern as shown in the diagram:

Ranger station to Nature Center = 90°

Nature center to petting zoo= 40°

Petting zoo to Tennis court =120°

Tennis court to Pool = 65°

Pool to Ranger station= 45°

The radius of the circular pattern = 1 mile

Formula:

Arc length = 2πr angle / 360° where r is radius and π=3.14

Solution:

Thus,

Arc length = 2×3.14×1×90°/360°

Arc length=2×3.14×1×1/4 =1.57 miles

Distance from Nature Center to Petting Zoo

Arc length= 2×3.14×1×40°/360°

Arc length= 2×3.14×1×1/9 = 0.70 miles

Total =1.57+0.70 =2.27 miles

Answer to the nearest tenth = 2.3 miles

For more information:

https://brainly.com/question/11692709

~lenvy~

Answer:

215 minutes

Step-by-step explanation:

1 hour = 60 min

3x60=180

180+35=215

Answer:

The answer is 215 minutes

Step-by-step explanation:

1 hour is 60mintues

you have 3 hours so you would do

60+60+60=180 or 60*3=180

then take the 35 minutes you have and add those together.

180+35=215 total minutes

Hope this helps mark brainliest please! :)

Answer:

a = 2

b = 4

Step-by-step explanation:

Δy   = 2x + a.................for turning point, Δy/Δx = 0.

Δx

0 = 2x + a

x = -a/2.........from ( -1, 3), x = -1...............so,

-1 = -a/2.................a = 2.

y = x^2 + ax + b.

y = 3  ,    a = 2.................substitute.

3 = (-1)^2 + 2(-1) + b

3 = 1 -2 + b

b = 4

Answer:

The turning point of a parabola is the vertex

Vertex form of a quadratic equation: [tex]\sf y=a(x-h)^2+k[/tex]

(where (h, k) is the vertex and a is the coefficient of the variable x²)

Given:

Therefore, a = 1

Substituting a = 1 and the given vertex into the equation:

[tex]\sf \implies y=1(x-(-1))^2+3[/tex]

[tex]\sf \implies y=(x+1)^2+3[/tex]

[tex]\sf \implies y=x^2+2x+1+3[/tex]

[tex]\sf \implies y=x^2+2x+4[/tex]

Therefore, a = 2 and b = 4

Answer:

They have 23 miles left to travel.

Step-by-step explanation:

If they have 65 miles total to travel and they've already gone 42 miles, 65-42=23

Answers:

10.) [tex]\displaystyle \pm{5}[/tex]

9.) [tex]\displaystyle 1\frac{1}{2}[/tex]

8.) [tex]\displaystyle \pm{1\frac{1}{2}}[/tex]

7.) [tex]\displaystyle \pm{1\frac{1}{2}}[/tex]

6.) [tex]\displaystyle \pm{\frac{1}{2}}[/tex]

Step-by-step explanations:

10.) [tex]\displaystyle \frac{\sqrt{200}}{\sqrt{8}} \hookrightarrow \sqrt{25} \hookrightarrow \frac{\pm{10\sqrt{2}}}{\pm{2\sqrt{2}}} \\ \\ \boxed{\pm{5}}[/tex]

9.) [tex]\displaystyle \frac{\sqrt[3]{135}}{\sqrt[3]{40}} \hookrightarrow \sqrt[3]{3\frac{3}{8}} \hookrightarrow \frac{3\sqrt[3]{5}}{2\sqrt[3]{5}} \\ \\ \boxed{1\frac{1}{2}}[/tex]

8.) [tex]\displaystyle \frac{\sqrt[4]{162}}{\sqrt[4]{32}} \hookrightarrow \sqrt[4]{5\frac{1}{16}} \hookrightarrow \frac{\pm{3\sqrt[4]{2}}}{\pm{2\sqrt[4]{2}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}[/tex]

7.) [tex]\displaystyle \frac{\sqrt{63}}{\sqrt{28}} \hookrightarrow \sqrt{2\frac{1}{4}} \hookrightarrow \frac{\pm{3\sqrt{7}}}{\pm{2\sqrt{7}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}[/tex]

6.) [tex]\displaystyle \frac{\sqrt{12}}{\sqrt{48}} \hookrightarrow \sqrt{\frac{1}{4}} \hookrightarrow \frac{\pm{2\sqrt{3}}}{\pm{4\sqrt{3}}} \\ \\ \boxed{\pm{\frac{1}{2}}}[/tex]

I am joyous to assist you at any time.

Answer:

four sixths + three fifths.

Step-by-step explanation:

1 8/30 = 38/30.

4/6 + 3/5

= 20/30 + 18/30 = 38/30.

Answer:

Theories used

Angles on a straight line will always add up to 180°

The sum of interior angles in a triangle is 180°

Question 7

a + 134° = 180°

⇒ a = 180° - 134°

⇒ a = 46°

b + 119° = 180°

⇒ b = 180° - 119°

⇒ b = 61°

a + b + c = 180°

⇒ 46° + 61° + c = 180°

⇒ c = 180° - 46° - 61°

⇒ c = 73°

Question 8

r + 126° = 180°

⇒ r = 180° - 126°

⇒ r = 54°

s + 145° = 180°

⇒ s = 180° - 145°

⇒ s = 35°

r + s + t = 180°

⇒ 54° + 35° + t = 180°

⇒ t = 180° - 54° - 35°

⇒ t = 91°

#7

c=

#8

Answer:

found in a toys store and cost more than 50$

Step-by-step explanation:

it makes the most sense don't you think?