Tolu, Abram, and Nevis are partners in a
new business. The bank account for the
business currently shows a balance of
-$123, so the partners agree to pay
equal amounts to bring the balance to
$0. Write and solve an equation using
negative numbers to find each partner's
share of the balance.

Please help

The expression that is equivalent to \(80^{(1/4}\) * x is \(80^{4/x}\)

To determine the equivalent expression to \(80^{1/4}\) * x, let's analyze each option:

\(80/4^{x}\)

This expression simplifies to \(20^{x}\), but it is not equivalent to the original expression.

Applying the power of a power rule, this expression simplifies to \(80^{x/4}\) , which is not equivalent to the original expression.

\(80/x^{4}\)

This expression can be simplified as \(80^{4 x^{4} }\) , which is not equivalent to the original expression.

Therefore, the expression that is option d.

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The simplified form of the given expression is \(\frac{27}{4x^{12} y^{8} }\).

The given expression is \(\frac{4(3x^{2} y^{4} )^{3} }{(2x^{3} y^{5} )^{4} }\).

Exponentiation is a mathematical operation, written as bⁿ, involving two numbers, the base b and the exponent or power n, and pronounced as "b raised to the power of n".

We need to simplify the given expression.

Now, \(\frac{4(3^{3}x^{6} y^{12} )}{2^{4} x^{12}y^{20} }\)

⇒\(\frac{108x^{6}y^{12} }{16x^{12} y^{20} }\)

⇒\(\frac{27}{4x^{12} y^{8} }\)

Therefore, the simplified form of the given expression is \(\frac{27}{4x^{12} y^{8} }\).

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Check the picture below.

The distance to second base is approximately 127.28 feet. Round to the nearest hundredth

Since the angle is 45 degrees, the other side of the right triangle are equal, hence we have two sides of 90 ft to be used to find the hypotenuse

Using Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

let x be the required distance

x² = 90² + 90²

x² = 16200

x = √16200

x = 90√2

x = 127.28 ft (to the nearest hundredth)

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Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

The solution to 3^x = 15 on the graph= 15

The value of 3^2.5 is about 16 in the graph

It takes about 15 hours for the population to grow to 15 times its original size.

Population is defined as the collection of similar species of organisms found in an environment that shares the same interests and reproductive activities.

From the graph,

Growth of the organism after 1hour = 3

The growth of 15 times the original size of 3 = 45

If 1 hr = 3

x hr = 45

Make xhr the subject of formula;

X hr = 45/3 = 15 hours.

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Answer:

Step-by-step explanation:

Answer:

  2∛3 units

Step-by-step explanation:

The volume is the cube of the edge length, so the edge length is the cube root of the volume:

  s = ∛V

  s = ∛24 = ∛(2³·3)

  s = 2∛3

The edge length is 2∛3 ≈ 2.8845 units.

The y-intercept coordinate is at the point (0, 17)

Given the following function expressed as:

\(y = 3(x-2)^2 + 5\)

The x-intercept is the point where y = 0

\(3(x-2)^2 + 5=0\\3(x-2)^2 = -5\\(x-2)^2 = -5/3\\x - 2 = 25/9\\x = 25/9 + 2\\x = \frac{43}{9}\)

Hence the x-intercept is (43/9, 0)

The y-intercept is the point where x = 0

\(y=3(x-2)^2 + 5\\y=3(-2)^2 + 5\\y=12+5\\y=17\)

The y-intercept coordinate is at the point (0, 17)

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The equivalent of (12)⁻³=1/(12)³

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given,

⇒(12)⁻³

⇒1/(12)³

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Answer:

Age of Jose =  5 years

Age of Adrian = 13 years

Step-by-step explanation:

Let:

Age of Jose = x

Age of Adrian = x+8

After 3 years

Age of Jose = x+3

Age of Adrian = x+8+3 = x+11

Now, we are given, in 3 years he will be twice as old as his brother.

So, we can write

Age of Adrian = 2 (Age of Jose)

x+11 = 2(x+3)

x+11=2x+6

2x-x=11-6

x=5

So, we get value of x = 5

Now, the present ages will be:

Age of Jose = x = 5 years

Age of Adrian = x+8 = 5+8 = 13 years

Adrian is 8 years older than his brother, Jose. In 3 years, he will be twice as old as his brother. Find the present age of each.

Let's represent the age of Jose as \(\large\rm x\)

According to the problem, Adrian is 8 years older than Jose, so Adrian's age can be represented as \(\large\rm x + 8\).

In 3 years, Adrian's age will be \(\large\rm (x + 8) + 3\) and Jose's age will be \(\large\rm (x + 3)\).

The problem also tells us that in 3 years, Adrian will be twice as old as Jose:

\(\Large\begin{aligned}\rm{(x + 8) + 3}& =\rm{2(x + 3)}\\\rm{x + 11}&=\rm{2x +6}\\\rm{\cancel{x\red{-x}} + 11}&=\rm{2x \red{-x} + 6}\\\rm{11}&=\rm{x + 6}\\\rm{11\red{-6}}&=\rm{x + \cancel{6\red{-6}}}\\\bold{5}&=\rm{x}\end{aligned}\)

So Jose is currently 5 years old.

To find Adrian's age, we can use the fact that Adrian is 8 years older than Jose:

\(\Large\begin{aligned}\rm{Adrian's\: age}& =\rm{x + 8}\\\rm{Adrian's\: age}&=\rm{\red{5} + 8}\\\rm{Adrian's\: age}&=\bold{13}\end{aligned}\)

Therefore:

\(\\\\\)

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Answer:

the answer is a

40.6 miles and $9.77

Step-by-step explanation:

[Number 1]

8.12 × 5

= 40.6 miles

[Number 2]

2.79 × 3 ½

= 2.79 × 3.5

= 9.765

≈ $ 9.77

Answer:

70 8/9

Step-by-step explanation:

I think that is correct answer. I don't know if it is correct.

Answer:

We are told that circle C has center (-4, 6) and a radius of 2.

We are told that circle D has center (6, -2) and a radius of 4.

If we move circle C's center ten units to the right and eight units down, the new center would be at (-4 + 10), (6 - 8) = (6, -2). So step 1 in the informal proof checks out - the centers are the same (which is the definition of concentric) and the shifts are right.

Let's look at our circles. Circle C has a radius of 2 and is inside circle D, whose radius is 4. Between Circle C and Circle D, the radii have a 1:2 ratio, as seen below:

If we dilate circle C by a factor of 2, it means we are expanding it and doubling it. Our circle has that 1:2 ratio, and doubling both sides gives us 2:4. The second step checks out.

Translated objects (or those that you shift) can be congruent, and dilated objects are used with similarity (where you stretch and squeeze). The third step checks out.

Thus, the argument is correct and the last choice is best.

Cute copy and paste:

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Answer:

f(-x) = x² - 9x - 6

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify.

f(x) = x² + 9x - 6

Step 2: Evaluate

Answer:

2×2+5x-18 is the answer

The value of c is 2.5

Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

c² = a²+b²

c is the hypotenuse because it is the side that faces the right angle , a and b are the legs of the triangle. Pythagoras theorem is only valid for right triangle.

c² = 2.2² + 1.2²

c² = 4.84 + 1.44

c² = 6.28

c = √ 6.28

c = 2.5( 1 dp)

therefore the value of c is 2.5

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Answer:

3

Step-by-step explanation:

The answer is three because u need to simply the fractions

Answer:

The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)

I hope this helps you!

The trigonometric equation that describes the given graph is: y = 3.5cos(4x)

First, we can see that the graphed function is even, so we know that it will be a cosine function.

We also can see that the maximum is 3.5 and the minimum is -3.5, so the amplitude is 3.5.

Then we have something like:

y = 3.5*cos(b*x)

To find the value of b, we can use the fact that the zeros of the function are at x = ±π/8

Then:

b*π/8 = π/2

b = 4

Finally, we conclude that the graphed equation is:

y = 3.5cos(4x)

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Answer:

12

Step-by-step explanation:

Answer:

8:36

Step-by-step explanation:

If he is at his halfway point at 8:24 and it only took him 4 minutes to get one block in than it would take him 12 minutes to get 3 blocks in and if you add 12 more minutes to the time that he's at right now than he would arrive at 8:36.

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Answer:

7n + 8 = 12

Step-by-step explanation:

I believe you're looking for an algebraic equation, but let me know if you need it to be solved! :)

Answer:

92

Step-by-step explanation:

Number equal to 12 is 12 ~ 8 added to the number (addition)

7 * 12 = 84

84 + 8 = 92

Answer:

10 hours

Step-by-step explanation:

380 - 80 = 300

30 : 1 = 300 : x

x = 300 / 30

x = 10

Answer:

There will be three digits in the quotient.

Step-by-step explanation:

The answer would be 119. Hope this helped ^^✨

Answer:

31 and 4

Step-by-step explanation:

Answer:

x>-8 (Or option D)

Step-by-step explanation:

-2x+7<23 Subtract 7 from both sides

-2x<16 Now divide by -2. You also have to flip the < sign because you are dividing by a negative number

x>-8

The reasoning for D over C is because D is an open circle meaning that it is only less than or greater than. When it is a closed circle, it means less than or equal to or greater than or equal to. :)

Answer:

square root of 1.9321 = 1.39

Step-by-step explanation:

Answer:

Step-by-step explanation:

-(12-8x)=5x+15-7x

-12+8x=5x+15-7x

8x+7x-5x=15+12

10x=27

x=27/10

Answer:

x = 27/10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-(12 - 8x) = 5x + 15 - 7x

Step 2: Solve for x