What does the denominator of this rational expression represent? Jessica is organizing a guided tour of the rain forest. The average profit per person that the touring company makes is given by the rational expression , where is the number of people going on the tour.

Answer:

R= sqrt 445

Y = 19

Step-by-step explanation:

Radius is the square root of 445

Find y

So, First step is to substitute what you have

-9^2 + y^2 = 445

 81 + y^2 = 445

-81               -81

y^2 =364

Y is about 19

Let me know if I'm incorrect

Hope this helps :)

Answer:

[tex] c = 77.6 [/tex]

Step-by-step explanation:

You may have entered the measure of a side as the measure of an angle.

[tex] \dfrac{\sin A}{a} = \dfrac{\sin C}{c} [/tex]

[tex] \dfrac{\sin 75^\circ}{150} = \dfrac{\sin 30^\circ}{c} [/tex]

[tex] c\sin 75^\circ = 150 \sin 30^\circ [/tex]

[tex] c = \dfrac{150 \sin 30^\circ}{\sin 75^\circ} [/tex]

[tex] c = 77.6 [/tex]

You are correct. Good job!

Answer:

Null hypothesis: [tex]\mu_1= \mu_2[/tex]

Alternative hypothesis:[tex]\mu_1 =\neq \mu_2[/tex]

And for this case we assume that we have equal variances so that means:

[tex]\sigma =\sigma_1 =\sigma_2[/tex]

For this case the degrees of freedom are given by:

[tex] df= n_1 +n_2 -2[/tex]

And replacing we got:

[tex] df= 20+20 -2= 38[/tex]

And the best answer would be:

a. 38

Step-by-step explanation:

For this problem we want to test the following:

Null hypothesis: [tex]\mu_1= \mu_2[/tex]

Alternative hypothesis:[tex]\mu_1 =\neq \mu_2[/tex]

And for this case we assume that we have equal variances so that means:

[tex]\sigma =\sigma_1 =\sigma_2[/tex]

For this case the degrees of freedom are given by:

[tex] df= n_1 +n_2 -2[/tex]

And replacing we got:

[tex] df= 20+20 -2= 38[/tex]

And the best answer would be:

a. 38

Answer:

44

Step-by-step explanation:

11×4

hope it helped!

Answer:

2.4

Step-by-step explanation:

3 3/4 = 3.75

9/3.75 = 2.4

Answer: G = (19) × (26) × (16)

Step-by-step explanation:

The isomorphism classes of Abelian groups of order 12 are Z₄ ⊕ Z₃ and Z₂ ⊕ Z₂ ⊕ Z₃

SO Let us calculate the orders of some of the elements of G

We have

4² = 16,

4³ = 64

    = 19,

and

4^4 = 19.4

      = 76

      = 31.

furthermore,

4^5 = 31.4

       = 124

       = 34

and

4^6 = 34.4

      = 136

      = 1

Hence, 4 and 34 each have order 6, 16 and 31 each have order 3, and 19 has order 2.

Next, we calculate

11² = 121

    = 31

and

11³ = 11.3

    = 341

    = 26

this is the calculation needed.

26² = 11^6

      = 31³

       = 1

since we already showed that 31 has order 3. This means that 26 has order 2

Since G has two distinct elements of order 2, it cannot be isomorphic to . We conclude

that G = Z₂ ⊕ Z₂ ⊕ Z₃

Finally, we will express as an internal direct product.

The previous calculations show that

(19) = { 1, 19 }

and (26) = { 1, 26 }

are cyclic subgroups of G of order 2 with trivial intersection. We have

(19) × (26) = { 1, 19, 26, 44 }

since

(16) = { 1, 19, 26, 44 }

has trivial intersection with (19) × (26),  conclude that

G = (19) × (26) × (19)

Answer:

given,

selling price (sp)=rs 5 ×30

=rs 150

now, gain %=20%

cost price (cp)=

[tex] \frac{sp \times 100}{100 + gain\%} [/tex]

[tex] = \frac{150 \times 100}{100 + 20} [/tex]

therefore cp= rs125

now,

again in 2nd case

sp= rs 27×5

therefore sp=rs 135

and cp= rs125

now, sp>cp so,

[tex]gain\% = \frac{sp - cp}{cp} \times 100\%[/tex]

or, gain=

[tex] = \frac{135 - 125}{125} \times 100\%[/tex]

therefore gain %= 8%.... is answer

hope it helps..

Answer:  B) contain the points E and F

Step-by-step explanation:

Dilation of 2 means to multiply both the x- and y-coordinates by 2

see image below

The only option that is true that E'F' contains points E and F

Answer:

  contains the points E and F

Step-by-step explanation:

The center of dilation is an invariant point. It doesn't move, regardless of the dilation factor.

Likewise, any line through the center of dilation will not move. It is not rotated or translated by dilation--it simply is stretched (or compressed) along its length. It is still an infinite line, and it still goes through all of the points it went through before dilation.

The line through the center of dilation that contains points E and F, after dilation, ...

  contains the points E and F.

Answer:

  B. ∠2 and ∠3 are complementary

Step-by-step explanation:

The substitution property of equality lets you put ∠2 in place of ∠1 in the statement ...

  ∠1 and ∠3 are complementary.

  ∠2 and ∠3 are complementary . . . . using ∠2 for equal ∠1 in the above

Answer: ∠2 and ∠3 are complementary

Step-by-step explanation:

Answer:

14.0008 grams of 27% and 7.9992 grams of 52%

Step-by-step explanation:

We know that in the end we want 22 grams of 36.09% copper, meaning in the end we want 36.09% of the 22 grams to be copper. This means we can multiply 36.09% by 22 to see how much copper we want in the end.

To find out how much of each alloy to use, we can multiply the percentage of copper in the alloy be a variable x, which will be how much of that alloy we use. For the other alloy, we can multiply the percentage by (22-x) grams as we know in the end we want 22 grams and if x+y=22, than y would equal 22-x, and in this case this simplifies it to only use a single variable.

Now finally, making the equation we get 27x+52(22-x)=36.09(22). We can solve this and get 27x+1144-52x=793.98, then combine like terms and get -25x+1144=793.98. Next you have to subtract 1144 from both sides to get -25x=-350.02. Dividing both sides by -25 we get x=14.0008. This is how many grams of 27% copper was used. Now we can subtract this from 22 to get how much 52% copper was used, and we get 22-14.0008=7.9992 grams of 52% copper.

Answer:

The suitcase originally weighed 44kg.

Step-by-step explanation:

1- 0.25= 0.75 (multiplier)

33÷0.75=44

The suitcase originally weighed 44kg

Answer:

33

Step-by-step explanation:

2/5x40=16

40-16=24

24+9=33

33 marbles

2/5 is .4

Multiply .4 by 40 to get 16

Subtract 16 from 40 to get 24

Add 9 to 24 to get 33

Hope it helps <3

(If it does, please mark brainliest, only need 1 more to get rank up :) )

Answer:

[tex] {1000}^{m} \div {100}^{n} \\ \\ {10}^{3m} \div {10}^{2n} [/tex]

Since they have the same base and are dividing we subtract the exponents

That's

[tex] {10}^{3m - 2n} [/tex]

So

Hope this helps you

Answer:

[tex]\boxed{ z = 3m-2n}[/tex]

Step-by-step explanation:

=> [tex]1000^m / 100^n[/tex]

=> [tex](10)^{3m} / (10)^{2n}[/tex]

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

=> [tex]10 ^{3m-2n}[/tex]

Comparing it with [tex]10^z[/tex], we get

=> z = 3m-2n

[tex]\text{We need to find how much the store will sell a GPS navigation system}\\\\\text{We know that the store paid \$56 for it}\\\\\text{We also know that they will mark up the price by 25\%}\\\\\text{We can find 25\% of 56}\\\\56\cdot0.25=14\\\\\text{We can now add that to the original price to get the price the store}\\\text{will sell it for}\\\\56+14=70\\\\\boxed{\$70}[/tex]

Answer:

The original number is 19

Step-by-step explanation:

Let the original number be x

The above expression is written as

3x - 17 = 40

3x = 40 + 17

3x = 57

Divide both sides by 3

3x / 3 = 57/3

x = 19

Hope this helps you.

Answer:

im not sure either the triple is time with three or power of three

if times three:

3x–17=40

19

if power of three:

x³–17=40

x=

[tex] \sqrt[3]{57} [/tex]

Answer:

T < -25

Step-by-step explanation:

Was correct on TTM