Show work and thank you

Answer:

g) [tex]u^{4}\cdot v^{-1}\cdot z^{3}[/tex], h) [tex]\frac{(x+4)\cdot (x+2)}{3\cdot (x-5)}[/tex]

Step-by-step explanation:

We proceed to solve each equation by algebraic means:

g) [tex]\frac{u^{5}\cdot v}{z}\div \frac{u\cdot v^{2}}{z^{4}}[/tex]

1) [tex]\frac{u^{5}\cdot v}{z}\div \frac{u\cdot v^{2}}{z^{4}}[/tex] Given

2) [tex]\frac{\frac{u^{5}\cdot v}{z} }{\frac{u\cdot v^{2}}{z^{4}} }[/tex] Definition of division

3) [tex]\frac{u^{5}\cdot v\cdot z^{4}}{u\cdot v^{2}\cdot z}[/tex]   [tex]\frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a\cdot d}{b\cdot c}[/tex]

4) [tex]\left(\frac{u^{5}}{u} \right)\cdot \left(\frac{v}{v^{2}} \right)\cdot \left(\frac{z^{4}}{z} \right)[/tex]  Associative property

5) [tex]u^{4}\cdot v^{-1}\cdot z^{3}[/tex]   [tex]\frac{a^{m}}{a^{n}} = a^{m-n}[/tex]/Result

h) [tex]\frac{x^{2}-16}{x^{2}-10\cdot x + 25} \div \frac{3\cdot x - 12}{x^{2}-3\cdot x -10}[/tex]

1) [tex]\frac{x^{2}-16}{x^{2}-10\cdot x + 25} \div \frac{3\cdot x - 12}{x^{2}-3\cdot x -10}[/tex] Given

2) [tex]\frac{\frac{x^{2}-16}{x^{2}-10\cdot x+25} }{\frac{3\cdot x - 12}{x^{2}-3\cdot x - 10} }[/tex] Definition of division

3) [tex]\frac{(x^{2}-16)\cdot (x^{2}-3\cdot x -10)}{(x^{2}-10\cdot x + 25)\cdot (3\cdot x - 12)}[/tex]  [tex]\frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a\cdot d}{b\cdot c}[/tex]

4) [tex]\frac{(x+4)\cdot (x-4)\cdot (x-5)\cdot (x+2)}{3\cdot (x-5)^{2}\cdot (x-4) }[/tex] Factorization/Distributive property

5) [tex]\left(\frac{1}{3} \right)\cdot (x+4)\cdot (x+2)\cdot \left(\frac{x-4}{x-4} \right)\cdot \left[\frac{x-5}{(x-5)^{2}} \right][/tex] Modulative and commutative properties/Associative property

6) [tex]\frac{(x+4)\cdot (x+2)}{3\cdot (x-5)}[/tex]  [tex]\frac{a^{m}}{a^{n}} = a^{m-n}[/tex]/[tex]\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot c}{b\cdot d}[/tex]/Definition of division/Result

Answer:

<WZY = 31°

Step-by-step explanation:

First, we can see that <XZW is equal to <WZY.

Given that, we know we can set the two equations equal to each other to find "x".

8x - 1 = 5x + 11

Now that the two equations are set equal to each other, all we have to do is simplify to find x.

Bring 5x over and subtract it from 8x.

3x - 1 = 11

Bring -1 over and add it to 11.

Since you're subtracting a negative, it becomes positive allowing you to add it to 11.

3x = 12

Now you need to get x by itself. Do do that, you need to divide three by itself, and whatever you do to one side, you must do to the other.

3x/3 = 12/3

Now you have:

x = 4

____________________________________________________

Now that you know the value of x, all you need to do is plug x back into the equation for <WZY

5(4) + 11

20 + 11

31.

And there is your answer - <WZY = 31°

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think its C

The number of students that are in college is 7200 if ​Five-sixths of the students at a nearby college live in dormitories. If 6000 students at the college live in​ dormitories.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

​Five-sixths of the students at a nearby college live in dormitories. If 6000 students at the college live in​ dormitories

Let x be the number of students that are in college.

Then from the question:

The value of x can be found as follows:

x = (6000/5)×6

x = (1200)×6

x = 7200

Thus, the number of students that are in college is 7200 if ​Five-sixths of the students at a nearby college live in dormitories. If 6000 students at the college live in​ dormitories.

Learn more about the fraction here:

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Answer:

[tex]P(A\ and\ B) = 44\%[/tex]

Step-by-step explanation:

Given

Represents the event as follows:

A = [tex]Elon\ Musk[/tex] will offer you a [tex]free\ trip[/tex] into space in the next month\

B = Scientists from [tex]Area\ 51[/tex] will [tex]start\ selling[/tex] pet aliens next month

So, we have:

[tex]P(A) = 41\%[/tex]

[tex]P(B) = 27\%[/tex]

[tex]P(A\ or\ B) = 24\%[/tex]

Required

Determine [tex]P(A\ and\ B)[/tex]

This is calculated as:

[tex]P(A\ and\ B) = P(A) + P(B) - P(A\ or\ B)[/tex]

So, we have:

[tex]P(A\ and\ B) = 41\% + 27\% - 24\%[/tex]

[tex]P(A\ and\ B) = 44\%[/tex]

Answer:

22500 units

Step-by-step explanation:

Ending inventory =. 3000

Beginning inventory = 2500

Good sold = 22000

Beginning inventory + budgeted purchases - goods sold = ending inventory

2500 + x - 22000 = 3000

2500 + x = 3000 + 22000

2500 + x = 25000

x =25000 - 2500

x = 22500 units

Budgeted purchases of product for the year.

Answer:

64 combination attempts

Step-by-step explanation:

Since each dial in the lock is numbered from 1-8 then there are 8 possibilities for each dial. Out of the three dials, only 2 actually need to be correct in order for the lock to open therefore, we simply raise the number of possibilities for each dial to the power of 2 which should give us the total number of tries we need in order to guarantee that it opens. Assuming that you are making the combinations in numerical order 1-1-1, 1-1-2, 1-1-3, etc.

8^2 = 64 combination attempts

Answer:

132 dollars I think

Step-by-step explanation:

Answer:

d=18 feet

Step-by-step explanation:

The volume of a sphere is represented by the equation [tex]V=\frac{4}{3}\pi r[/tex]³, where r is the radius. If the volume is 972[tex]\pi[/tex],

[tex]972\pi =\frac{4}{3}\pi r[/tex]³

Divide [tex]\pi[/tex] from each side,

[tex]972=\frac{4}{3} r[/tex]³

Multiply each side by 3/4 to get rid of the fraction,

[tex]r[/tex]³[tex]=729[/tex]

Using the cube root, we find that 729 is actually a perfect cube.

[tex]r=9[/tex]

Now, the diameter is 2 times the radius, so

9×2=18

So, the measure of the diameter is 18 feet.

Answer:

Step-by-step explanation:

m<1 = 50

m<2 = 22

m<3 = 108

m<4 = 50

m<5 = 65

m<6 = 50

m<7 = 43

m<8 = 65

m<9 = 75

m<10 = 18

m<11 = 25

m<12 = 40

m<13 = 115

m<14 = 65

m15 = 115

Answer:

4. H

5. A

6. H

Step-by-step explanation:

For 4

Supplementary angles have a sum of 180

so 3x + 96 = 180

now we just use basic algebra to solve for x

step 1 subtract 96 from each side

180 - 96 = 84

now we have 84=3x

step 2 divide each side by 3

3x/3=x

84/3=28

we're left with x = 28

so the answer to #4 is H

For 5

Remember the sum of the angles in a triangle is 180

So we can calculate the missing angle by subtract the given angles (90 and 66 in this case) from 180 NOTE: ( the 90 came from the little square at the bottom right of the triangle. This square indicates that the angle is a right angle and a right angle has a measure of 90 degrees)

so x = 180 - 90 - 66

180 - 90 = 90

90 - 66 = 24

so we can conclude that x = 24 and the answer is A

For 6

Angle 2 and angle 4 are vertical angles

If you didn't know vertical angles are congruent

SO if one angle equal 120 degrees the other angle also equal 120 degree therefore the answer to number 6 is H

Answer:

10 pages are in the page if im correct

Angela will have cell phone service from tower 2 only , Option C is the answer.

An inequality is an algebraic expression connected to another algebraic expression with an inequality operator.

The two inequalities given are

(x+5)² + (y+2)² ≤ 144

(x-8)² +(y-7)²  ≤100

The inequalities are plotted on the graph

and the location of Angels's Friends ( 4 , 8) is also plotted

If this lies in the area of the Inequalities she will have signal.

At Angela's friends house she will have the signal of Tower 2 only.

Therefore Option C is the answer.

To know more about Inequalities

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Answer:

2 + 3 2+ 4 = 5 − 9 2 +2 5 2 − 5 4 − 5 0 − 2 8 1 = 0

Step-by-step explanation:

There really isn't an easier way to put that, sorry :/

Hope this helped, and please mark as brainliest <3

Answer:

8

Step-by-step explanation:

Because i wanted extra points.

Answer:

150

Step-by-step explanation:

'x' = number of students out of 500 who selected math

18/60 = x/500

cross-multiply:

60x = 9000

x = 150

Answer:

Olivia invested $2900 in a savings account that paid 4.5%/yr and $900 in a government bond that paid 5.5%/yr.

Step-by-step explanation:

With the information provided you can write the following equations:

x+y=3800 (1)

0.045x+0.055y=180 (2), where:

x is the amount invested in a savings account

y is the amount invested in a government bond

First, you can solve for x in (1):

x=3800-y (3)

Next, you can replace (3) in (2) and solve for y:

0.045(3800-y)+0.055y=180

171-0.045y+0.055y=180

0.01y=9

y=9/0.01

y=900

Finally, you can replace the value of y in (3) to find x:

x=3800-900

x=2900

According to this, the answer is that Olivia invested $2900 in a savings account that paid 4.5%/yr and $900 in a government bond that paid 5.5%/yr.

Answer:

51 degrees

Step-by-step explanation:

As we already know that this triangle is a right triangle.

To find x, you need to subtract both angles.

90 - 39

= 51

Answer:

Step-by-step explanation:

Answer:

18.2 miles

Step-by-step explanation:

simple multiplication:

We know that 1 inch of distance on the map is equal to 5.2 miles.

Using this knowledge we can multiply the amount of inches by the miles per inch.

5.2*3.5=18.2 miles apart

Hope this helps!!

Answer:

Question A)

[tex]=\sqrt{6}x[/tex]

Question B)

[tex]=3a\sqrt{a}[/tex]

Question C)

[tex]=5\sqrt{2}b^2[/tex]

Step-by-step explanation:

A)

We are given:

[tex]\sqrt{6x^2}\, \text{ where } x\geq 0[/tex]

We can rewrite the expression:

[tex]=\sqrt{6}\cdot \sqrt{x^2}[/tex]

The square root and square will cancel each other out. Thus:

[tex]=\sqrt{6}x[/tex]

B)

We are given:

[tex]\sqrt{9a^3}[/tex]

Rewrite:

[tex]=\sqrt{9}\cdot \sqrt{a^3}[/tex]

Note that the square root of 9 is simply 3. We can also factor the second part:

[tex]=3\cdot \sqrt{a^2\cdot a}[/tex]

Rewriting:

[tex]=3\cdot\sqrt{a^2}\cdot\sqrt{a}[/tex]

Simplify:

[tex]=3a\sqrt{a}[/tex]

C)

We are given:

[tex]\sqrt{50b^4}[/tex]

Rewrite. Note that 50 = 25(2):

[tex]=\sqrt{25}\cdot \sqrt{2}\cdot \sqrt{b^4}[/tex]

Simplify. We can rewrite the factor as:

[tex]=5\cdot \sqrt{2}\cdot \sqrt{(b^2)^2}[/tex]

The square and square root will cancel out. Thus:

[tex]=5\sqrt{2}b^2[/tex]

Answer:

5%

Step-by-step explanation:

20=  100%

1 x100 = 100

100/20= 5

Answer:

6t(2t - 1)

Step-by-step explanation:

12t² - 6t

Common factor: 6t

Factored:

6t(2t - 1)

Answer:

4. 3/5

5. 1/12

6. 5/12

hope this helps

good day mate

Answer:

7.2

Step-by-step explanation:

Answer:

I dont think you realize you posted the answer...

Step-by-step explanation:

7.2

Answer:

A

Step-by-step explanation:

Answer:

A is correct. Hope it helps.