Pre college need help

Answer:  [tex]\frac{tv^3}{u^8}\\\\\\[/tex]

This is the fraction tv^3 all over u^8

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Work Shown:

[tex]\frac{t^2uv^7}{tu^9v^4}\\\\\\\frac{t^2}{t}*\frac{u}{u^9}*\frac{v^7}{v^4}\\\\\\t^{2-1}*u^{1-9}*v^{7-4}\\\\\\t^{1}*u^{-8}*v^{3}\\\\\\\frac{t}{1}*\frac{1}{u^8}*\frac{v^3}{1}\\\\\\\frac{t*1*v^3}{1*u^8*1}\\\\\\\frac{tv^3}{u^8}\\\\\\[/tex]

In the third step, I used the rule (a^b)/(a^c) = a^(b-c)

To make the negative exponent turn positive, we apply the reciprocal to the base.

Step-by-step explanation:

Let the number be x

According to the question

2(x+36)=90

2x+72=90

2x=90-72

2x=18

x=18/2

x=9

Answer:

Step-by-step explanation:

Hope this helps!

Answer:

16[tex]m^{4}[/tex]−81

Step-by-step explanation:

Hope this is correct and it helps :)

Answer::2,075,673,600 batting orders may occur.

Step-by-step explanation: A baseball team has 4 pitchers, who only pitch, and 12 other players, all of whom can play any position other then pitcher.

Answer:

Three hundred thousand

Step-by-step explanation:

Hope this helps

Answer:

  (x -10)² +(y +4)² = 272

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

The center is given as (h, k) = (10, -4). We can find the value of r² using the "passes through" point coordinates:

  (14 -10)² +(12 -(-4))² = r² = 16 +256 = 272

Then for the given center and the value of r² we found, the equation is ...

  (x -10)² +(y +4)² = 272

Answer:

the first 2 compartments have 25 so 25+25=50, and the last has 8 in it so 50+8=58

Answer:

I think Colorfulmusic is correct

Step-by-step explanation:

3.25  I'm pretty sure

Answer:

it's -4 is the answer by the way

Answer:

parabola opens up

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

• If a > 0 then parabola opens up

• If a < 0 then parabola opens down

y = (x + 3)² - 4 ← is in vertex form

with a = 1

Since a > 0 then parabola opens up

Answer:

g(f(-3)) = -11

Step-by-step explanation:

First, we evaluate f(-3) and then plug that value into g(x) for x:

f(x) = 5x + 11

f(-3) = 5(-3) + 11 = -15 + 11 = -4

Therefore:

g(f(-3)) = (-4)^2 + 4(-4) - 11 = 16 - 16 - 11 = 0 - 11 = -11

Answer: -11

Step-by-step explanation:

Find the value of g(f(-3)) given the two equations:

f(x) = 5x + 11

g(x) = x² + 4x - 11

Plug -3 into equation f(x).

f(-3) = 5(-3) + 11

Solve for f(x).

-4 = f(-3)

Plug -4 into the equation of g(x).

g(-4) = (-4)² + 4(-4) - 11

Solve for g(x).

g(-4) = (16) + (-16) - 11

g(-4) = -11

The value of g(f(-3)) is -11.

If the given equation is

[tex]27^{\frac13} = 9^{14} + 3^{x + 1}[/tex]

first simplify the left side using the fact that 27 = 3³:

[tex]27^{\frac13} = (3^3)^{\frac13} = 3^{\frac33} = 3^1 = 3[/tex]

and on the right side, 9 = 3²:

[tex]9^{14} = (3^2)^{14} = 3^{2\times14} = 3^{28}[/tex]

So we have

[tex]3 = 3^{28} + 3^{x + 1}[/tex]

Next,

[tex]3^{x+1} = 3^x \times 3^1 = 3 \times 3^x[/tex]

so that

[tex]3 = 3^{28} + 3 \cdot 3^x[/tex]

and dividing both side by 3 gives

[tex]1 = 3^{27} + 3^x[/tex]

Isolate 3ˣ :

[tex]3^x = 1 - 3^{27}[/tex]

Solve for x by taking the base-3 logarithm of both sides:

[tex]\log_3(3^x) = \log_3(1-3^{27})[/tex]

[tex]x \log_3(3) = \log_3(1-3^{27})[/tex]

[tex]\boxed{x = \log_3(1-3^{27})}[/tex]

Answer:

if she pays the bank back it would be 25 but if she just deposited 85 then she has 85 in the bank

Step-by-step explanation:

9514 1404 393

Answer:

  $66,027.66

Step-by-step explanation:

The multiplier for the salary with each raise is (1 + raise). That means the original salary is multiplied by ...

  (1.04^3)×(1.02^2)×(1.10) = 1.28733935616 = k

Your original salary (O) satisfies ...

  O×k = $85,000

  O = $85,000/k ≈ $66,027.66 . . . original salary

Answer:

10.2

Step-by-step explanation:

because 51 divide by 5 is 10.2 i am not sure

Answer:

-115/69

Step-by-step explanation:

12(6x + 10) + x = 9x + 5(1 - x)

72x + 120 + x = 9x + 5 - 5x

73x + 120 = 4x + 5

69x = 5 - 120

69x = -115

x = -115/69

Answer:

click the button and use it as and use it

Answer:

b

Step-by-step explanation:

B. Y= (x - 10) ^ 4 - 81 OR y = x^4 - 20x +91

Answer:

The answer is 10!

Step-by-step explanation:

Concept:- In mixed fractions, we will have one whole number and a proper fraction. So, first we should convert them into improper fractions, which has the numerator greater than the denominator. After, converting to that we should convert the unlike fractions to like fractions by the method of LCM of denominators. Then, we can sub all the fractions so that we can get the answer.

Explanation:

{8(9/10)} - {3(2/3)}

Convert all mixed fractions to proper fractions.

= {(80+9)/10} - {(9+2)/3}

Now, add the both numerators.

= (89/10) - (11/3)

LCM of 10 & 3 is 30.

= {(89*3)/(10*3)} - {(11*10)/(3*10)}

Now, multiply the numerator and denominator of all fractions.

= (267/30) - (110/30)

Write all numerators with common denominator.

= {(267-110)/30}

Subtract the fraction and write it in simplest form.

= 157/30

Write the obtained answer in the form of mixed fraction.

= {5(7/30)}.

also read similar questions: 5/7 + 3 2/5 = 5/9 + 2 4/7 = 6 2/6 + 4/11 = 10 2/3 + 5 1/4 = 9 1/2 + ....

https://brainly.com/question/25595033?referrer

Given that-

√(0.09×0.09×x) = 0.09×0.09×√z

On squaring both sides then

⇛[√(0.09×0.09×x) ]² = (0.09×0.09×√z)²

⇛ 0.09×0.09×x= (0.09)²×(0.09)²×(√z)²

⇛ (0.09)² × x = (0.09)²×(0.09)²×z

⇛ (0.09)² × x/z = (0.09)²×(0.09)²

⇛x/z = (0.09)²×(0.09)²/(0.09)²

⇛x/z = (0.09)²

⇛x/z = 0.09×0.09

⇛x/z = 0.0081

Answer:- Hence the value of x/z will be 0.0081 r respectively.

Answer:

True

Step-by-step explanation:

For instance, twins are born on the same day but imagine ten people instead of two being born on the same day.

Answer:

  1 1/2 hours

Step-by-step explanation:

In one hour, the distance between them is reduced by 7+5 = 12 miles. At that rate, the 18 mile distance between them will be reduced to zero in ...

  time = distance/speed

  time = (18 mi)/(12 mi/h) = 3/2 h

It will take 1 1/2 hours until Mort and George meet.

The definition of the set E gives you a natural choice for the limits in the integral:

[tex]\displaystyle \iiint_E y \, dV = \int_0^6 \int_0^x \int_{x-y}^{x+y} y \, dz \, dy \, dx[/tex]

Computing the integral, we get

[tex]\displaystyle \iiint_E y \, dV = \int_0^6 \int_0^x y ((x+y)-(x-y)) \, dy \, dx = 2 \int_0^6 \int_0^x y^2 \, dy \, dx[/tex]

[tex]\displaystyle \iiint_E y \, dV = 2 \int_0^6 \frac13 (x^3 - 0^3) \, dx = \frac23 \int_0^6 x^3 \, dx[/tex]

[tex]\displaystyle \iiint_E y \, dV = \frac23 \cdot \frac14 (6^4 - 0^4) = \boxed{216}[/tex]

The evaluation of the triple integral ∭E y dV, where E = {(x, y, z) | 0 ≤ x ≤ 3, 0 ≤ y ≤ x, x − y ≤ z ≤ x + y} is 216

Triple integral integrates the integrand over three dimensions.

Given that:

E = {(x, y, z) | 0 ≤ x ≤ 3, 0 ≤ y ≤ x, x − y ≤ z ≤ x + y}

Evaluating the integral:

[tex]I = \int \int \int _E y \: dV[/tex]

[tex]I = \mathlarger{\int_0^6 (\int_0^x (\int_{x-y}^{x+y} y\: dz)dy)dx}\\\\I = \int_0^6 (\int_0^x [yz]_{z=(x-y)}^{z=(x+y)}dy)dx\\\\I = \int_0^6 (\int_0^x y( (x+y) - (x-y)) \: dy)dx\\\\ I = \int_0^6 (\int_0^x y(2y) \: dy)dx\\\\I =2 \int_0^6 \left [\dfrac{y^3}{3}\right ]_{y=0}^{y=x} dx\\\\I = 2 \int_0^6 (x^3/3) dx\\\\I = \dfrac{2}{3} \left[\dfrac{x^4}{4} \right]_{x=0}^{x=6} = \dfrac{2}{3} \times \dfrac{6^4}{4} =216[/tex]

Thus, the evaluation of the triple integral ∭E y dV, where E = {(x, y, z) | 0 ≤ x ≤ 3, 0 ≤ y ≤ x, x − y ≤ z ≤ x + y} is 216

Learn more about triple integral here:

https://brainly.com/question/17206296