Factor -4 out of -24a - 44

The number of plants Ethan has are 5.

Two or more expressions with an Equal sign is called as Equation.

Let x be the number of plants Ethan has.

Ethan uses 3.5 ounces of water for each plant, so he will use a total of 3.5p ounces of water.

If he starts with 32 ounces of water and ends up with 14.5 ounces

Total of 32 - 14.5 = 17.5 ounces of water.

As given the amount of water used is equal to the amount of water per plant times the number of plants:

3.5x = 17.5

Divide both sides by 3.5

x=5

Hence, , Ethan has 5 plants.

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Answer:

x=10, y=20

Step-by-step explanation:

3x+10=5x-10

2x=20

x=10

4y=5x-10+3x+10

4y=8x

y=2x

y=20

Hope it helps.

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Answer:

34

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Choice A

Step-by-step explanation:

When you have two shapes that are similar their sides are always proportional. So all we have to do is set up a proportion.

\(\frac{18}{4.5}=\frac{x}{1.5}\)

Now we cross multiply and solve

\(27=4.5x\\x=6\)

And that's it x equals 6 feet.

Answer:

Graph C.

Step-by-step explanation:

The rest of the graphs fail the vertical line test. This means some inputs (x values) contain more than one output (y value).

Answer:

C

Step-by-step explanation:

If a vertical line intersects the graph in some places at more than one point, then the relation is NOT a function.

answer choices A, B, and D intersect at more than one point vertically. Therefore, C is the correct answer.

Step-by-step explanation:

= f( g(2) )

= 3(2x + 1) + 1

= 6x + 3 + 1

= 6x + 4

= 6(2) + 4

= 12 + 4

= 16

f(g(2)) = 16

The equation of the trend line is given as follows:

y = 1.33x + 20.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

Two points on the line in this problem are given as follows:

(0, 20) and (15, 40).

When x = 0, y = 20, hence the intercept b is given as follows:

b = 20.

When x increases by 15, y increases by 20, hence the slope m is given as follows:

m = 20/15

m = 1.33.

Hence the function is given as follows:

y = 1.33x + 20.

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The commutative property is a mathematical property that states to combine like terms. Like terms are terms that have the same variables and powers.

In the given:

8x + 4 + 6x +2

By adding 8x and 6x, and 4 + 2, you are using the commutative property to simplify this expression.

8x+6x = 14x

4+2=6

The simplified equation is 14x + 6

-------

If you would like to further simplify this expression, factor out the greatest common factor.

The further simplified expression would look like: 2(7x + 3)

Answer:

the (X) is 4 so that means both of X's are 4 and u need to choose 4

Step-by-step explanation:

X=4

The difference between the two high altitudes is therefore 300 feet.

Let 't' denote the time in minutes when both birds are at the same height. If both of these fowls are traveling, one descending and the latter ascending, then we obtain a formulaic value for t using the equations below.

Therefore, if we solve: 75t - 25t = 400, it follows that 50t = 400 and t = 8 minutes.

Given this information, after 8 minutes, the two birds reach the same height.

Consequently, before the 8-minute interval, bird A is situated at a higher level than bird B since the prior's rate of descent is less than the current bird's ascent.

Once they have reached the shared altitude, bird B is above bird A given its continuous upward elevation, contrasting against bird A's descending course.

Their heights after only 1 minute has elapsed; the Height of bird A after 1 minute is calculated to be 425 feet - (500 - 75(1)) and for bird B it is 125 feet - (100 + 25(1)).

The difference between the two high altitudes is therefore 300 feet.

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Amir’s gas tank had 1L of gas in it. Then he drove to his cousin’s house and back and had 1/3 L left.  Amir used a total of 1/3L gas in each direction

From the question, we have the following parameters that can be used in our computation:

Initial amount = 1L

Remaining amount = 1/3L

The amount of gas he used in each direction is calculated as

Amount used in each direction =(Initial amount - Remaining amount)/2

Substitute the known values in the above equation, so, we have the following representation

Amount used in each direction =(1L - 1/3L)/2

Evaluate

Amount used in each direction =1/3L

Hence, the amount is 1/3L

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Here is the complete question:

Amir’s gas tank had 1L of gas in it. Then he drove to his cousin’s house and back and had 1/3 L left. How much gas did he use in each direction?

The probability of a car rolling over in a crash is approximately 0.016, or 1.6%, indicating that it is unlikely for a car to roll over in a crash.

We have,

To find the probability that a randomly selected passenger car crash results in a rollover, we divide the number of rollovers by the total number of crashes:

Probability of a rollover = Number of rollovers / Total number of crashes

Probability of a rollover = 83,600 / (83,600 + 5,127,400) ≈ 0.016

The probability of a rollover is approximately 0.016, or 1.6%.

Since the probability is relatively low, it can be considered unlikely for a car to roll over in a crash.

Thus,

The probability of a car rolling over in a crash is approximately 0.016, or 1.6%, indicating that it is unlikely for a car to roll over in a crash.

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Answer:

The scale factor is 3

Step-by-step explanation:

Answer:

i need thhis one too

Step-by-step explanation:

Answer: put it in the microwave

Step-by-step explanation:

Here is my answer. I hope this is of use to you.

Answer: F(x)=24

Step-by-step explanation:

f(x)=5(-3)^2+7(-3)

f(x)= 5(9)+7(-3)

f(x)=45-21

f(x)=24

A baseball bat strikes a ball with an average force of 2.0 x 104 Newtons. if the bat stays in contact with the ball for a distance of 5.0 x 10-3 meter , then the kinetic energy will be 2× 10^2 J

kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.

In classical mechanics, the kinetic energy of a non-rotating object of mass m traveling at a speed v is 1/2 mv²

Favg= -1/2 MV2

Favg = -1 2 ( 5.0 x 10-3)^2

Favg = - 1/2 ×25 × 10 ^-6

Favg = 2× 10^2 J

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Answer:

x = - 5

Step-by-step explanation:

Given h(x) = 6x - 2 and h(x)= - 32, then equate the right sides, that is

6x - 2 = - 32 ( add 2 to both sides )

6x = - 30 ( divide both sides by 6 )

x = - 5

Answer:

y + 6 = 4 times ( x - 1 )

Step-by-step explanation:

hope this helps

The function f(x) that satisfies the given conditions is \(f(x) = 3 * e^(x^9).\)

To find the function f(x) given that y = f(x) satisfies the differential equation dy/dx = 27yx⁸ and the y-intercept of the curve y = f(x) is 3, we need to solve the differential equation and find the particular solution that satisfies the initial condition.

First, let's solve the differential equation:

dy/dx = 27yx⁸

This is a separable differential equation, so we can separate the variables and integrate:

(1/y) dy = 27x⁸ dx

Integrating both sides:

ln|y| = 27 * (1/9)x⁹ + C

where C is the constant of integration.

Now, let's apply the initial condition y-intercept of the curve y = f(x) is 3, which means that when x = 0, y = 3:

ln|3| = 27 * (1/9)(0)⁹ + C

ln|3| = C

Therefore, the constant of integration C is ln|3|.

Substituting this value back into the general solution:

ln|y| = 27 * (1/9)x⁹ + ln|3|

Now, let's solve for y:

|y| = e^(27 * (1/9)x⁹ + ln|3|)

|y| = 3 * e^(x⁹)

Since y = f(x), we can drop the absolute value signs:

y = 3 * e^(x⁹)

Therefore, the function f(x) that satisfies the given conditions is f(x) = 3 * e^(x⁹).

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If you want to round a number within an arithmetic expression, you should use the ROUND function.

The ROUND function allows you to specify the number of decimal places to which you want to round a given number. It is commonly used in programming languages and spreadsheet software.

The syntax for the ROUND function typically involves specifying the number or expression you want to round and the number of decimal places to round to. For example, if you want to round a number, let's say 3.14159, to two decimal places, you would use the ROUND function like this: ROUND(3.14159, 2), which would result in 3.14.

Using the ROUND function ensures that the rounded number is calculated within the arithmetic expression, providing the desired level of precision in the calculation.

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Answer:

1st option

Step-by-step explanation:

since one pair of opposite sides 10 in , then

x + 2 = 10 ( subtract 2 from both sides )

x = 8

Then

x + 5 = 8 + 5 = 13 in

2x - 5 = 2(8) - 5 = 16 - 5 = 13 in

The opposite sides of a parallelogram are parallel and congruent.

So the quadrilateral could be a parallelogram

Answer: A) Yes, one pair of opposite sides could measure

10 in., and the other pair could measure 13 in.

Step-by-step explanation:

just did it on edu 2023

Answer: 1 whole

Step-by-step explanation:

Answer:

3x+14

Step-by-step explanation:

4(8)+3(x-6)

=32+3x-18

=3x+14

Answer:im guessing 552.25

Step-by-step explanation:

By mathematical induction, the formula holds for all positive integers n, and the Tower of Hanoi game with n discs can be solved with a minimum of 2n - 1 steps.

Explain:

I will use mathematical induction to show that the equation I derived in answer 1 holds for the bare minimum of movements needed to solve the Tower of Hanoi game for any specific number of discs.

Let's first review the formula:

Code's minimal motion count is 2n - 1, where n is the total number of discs.

Base case: The least number of moves needed is 21 - 1 = 1, which corresponds with the formula when there is only one disc and we can move it from the beginning peg to the ending peg with just one move.

Step one of induction: Assume that the formula is valid for n=k, where k is a positive integer. If so, then 2k - 1 moves are the absolute least needed to solve the Tower of Hanoi game using k discs. We must demonstrate that the formula also applies to n=k+1, i.e., that 2(k+1) - 1 movements are all that are needed to solve the Tower of Hanoi game with k+1 discs.

We can divide the issue into three steps to move k+1 discs from the starting peg to the ending peg:

Step 1: Using the ending peg as a spare, move k discs from the beginning peg to the spare peg.

Step 2: Transfer the final disc from the beginning to the finish peg.

Step 3: Using the beginning peg as a spare, move the k discs from the spare peg to the ending peg.

According to the inductive hypothesis, Step 1 and Step 3 both necessitate a minimum of 2k - 1 moves. The least amount of moves necessary to complete the procedure is one for Step 2, making a total of:

scss

Duplicate the formula-conforming code 2k - 1 + 1 + 2k - 1 = 2(k+1) - 1.

As a result, by mathematical induction, the formula is true for all positive integers n, and 2n - 1 movements are all that are needed to solve the Tower of Hanoi game with n discs.

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Using the mid point, the coordinates of the end point V is (7, -27)

A midpoint is a point lying between two points and is in the middle of the line joining the two points.

In other words, the midpoint of a line segment is a point that lies halfway between 2 points.

Therefore, the coordinates of the endpoint V can be found as follows:

using the mid point,

(xₙ, yₙ) = (x₁ + x₂ / 2, y₁ + y₂ / 2)

Therefore,

(5, -11) = (3 + x₂ / 2, 5 + y₂ / 2)

Hence,

5 = 3 + x₂ / 2

cross multiply

10 = 3 + x₂

10 - 3 = x₂

x₂ = 7

Hence,

- 11 = 5 + y₂ / 2

-22 = 5 + y₂

-22 - 5 = y₂

y₂ = - 27

Therefore, the coordinates of V is (7, -27)

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