a ball is dropped from a height of 600 feet. the height of the ball, H, after t seconds can be modeled by the function rule, H(t)=-4.9t^2 + 600. what would be the independent quantity

Answer:

[tex] x =\pm \sqrt{26}[/tex]

Step-by-step explanation:

Given :-

And we need to find the potential solutions of it. The given equation is the logarithm of x² - 25 to the base e . e is Euler's Number here. So it can be written as ,

Equation :-

[tex]\implies log_e {(x^2-25)}= 0 [/tex]

In general :-

[tex]\implies log_a b = c [/tex]

Then this can be written as ,

[tex]\implies a^c = b [/tex]

In a similar way we can write the given equation as ,

[tex]\implies e^0 = x^2 - 25 [/tex]

[tex]\implies 1 = x^2 - 25 \\\\\implies x^2 = 25 + 1 \\\\\implies x^2 = 26 \\\\\implies x =\sqrt{26} \\\\\implies x = \pm \sqrt{ 26}[/tex]

Hence the Solution of the given equation is ±√26.

Answer:

i am not 100% sure but i think it would be C

Area of circle and  formula and radius of circle is 9 pi ( x y ^3 )^3.

A circle's area is equal to pi times the radius squared (A = r2).

Pi times the radius r squared equals the area of a circle.

π ⋅ ( r a d i u s)2

In the formula for the area of a circle, substitute the value of the radius r =3. 3.14 is about how big a number pi is.

pi * 3^2

Raise 3 to the power of 2 to arrive at 9.

pi * 9

9 must be moved to the left of. 9 pi ( x y ^3 )^3.

Area of circle and  formula and radius of circle is 9 pi ( x y ^3 )^3.

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The value of a is zero.

Now, According to the question:

The given equation is:

a + 5 = -5a + 5

To solve the above equation:

Subtract 5 on both sides

a + 5 - 5 = -5a + 5 - 5

a = -5a

Add 5a on both sides:

6a = 0

Divide both sides by 6

a = 0

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The complete question is this:

How do you solve a + 5 = -5a + 5

The exponential function that models the population of bluefin tuna after x years is given as follows:

y = 1550(0.96)^x.

The parameters of the exponential function are given as follows:

An exponential function is defined as follows:

y = a(b)^x.

For which the parameters are given as follows:

When he first started monitoring the population, there were about 1,550 bluefin tuna in the bay, meaning that the parameter a is given as follows:

a = 1550.

One year later, he estimated that the population of bluefin tuna had decreased to about 1,488, hence the parameter b is obtained as follows:

b = 1488/1550 = 0.96.

Hence the function is defined as follows:

y = 1550(0.96)^x.

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Answer: 56in³

Step-by-step explanation:

Let the volume of solid B de denoted as x. Based on the information given in the question, we can solve further by:

1/2 = 28/x

Cross multiply

1 × x = 2 × 28

x = 56

Therefore, the volume of solid is 56in³.

Answer:

the correct answer is 9²

Answer:

9

Step-by-step explanation:

It is stating that 81 is equal to x², in which the variable x stands for a number.

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x, by rooting both sides:

√x² = √81

x = √81 = √(9 * 9) = 9

9 is your missing base.

~

The outcome for the event "at least two tails" is HTT. Option B

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results. Discrete or finite sample spaces are those that have a finite number of outcomes.

HHH → All heads

HHT → Two heads + one tail

HTH → Two heads + one tail

HTT → Two tails + one head

THH → One tail + two heads

THT → Two tails + one head

TTH → Two tails + one head

TTT → All tails

Therefore, At least two tails means → Sample space outcome with two tails Or all tails

Therefore, from the given options HTT is having two tails. Option B is the correct option.

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Answer:

Rational

Step-by-step explanation:

Answer:

Step-by-step explanation:

65 minutes

(A) (x+4)(x-1)=0 is the proper factors form of the given equation x²+3x-4=0.

A factor is a number that completely divides another number.

To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

So, we have the equation:

x²+ 3x - 4 = 0

By dividing the center term, this quadratic equation can be reduced to its simplest form.

The result of dividing the middle word is:

x² + 4x - x - 4 = 0

One way to spell it is as:

x (x + 4) - 1 (x + 4) = 0

Now, we obtain:

(x + 4) (x - 1) = 0

Therefore, (A) (x+4)(x-1)=0 is the proper factors form of the given equation x²+3x-4=0.

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Correct question:

Which of the following is the correct factored form of the given equation x2+ 3x - 4 = 0?

(A) (x +4) (x - 1) = 0

(B) (x - 4) (x - 1) = 0

(C) (x - 4) (x +1)= 0

Answer:

4multiply by 10 lolllllllll

Answer:

20 each

Step-by-step explanation:

10 x 4 = 40 40 - 20 = 20

Answer:

5√2

Step-by-step explanation:

Hello!

To simplify the radical, we can identify perfect square factors in the radicand or the number inside the square root.

We know that 50 is 25 times 2, so we can expand the radical like this...

Now we can simplify each radical:

The simplified form is 5√2.

Answer:

C = 0.06x + 0.45

Step-by-step explanation:

Today is 2023

So, from 2016 to 2023, it has been 7 years.

0.85 - 0.45 = $0.40

So, $0.40 is the increase in 7 years

0.40 / 7 = $0.06

So, $0.06 is the change per year

Let C represent the total cost and x represent the number of years and we have

C= 0.06x + 0.45

Answer: C. 12

Step-by-step explanation: Hope this help :D

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Answer:

I have no idea

Step-by-step explanation:

Answer:

2034.72 units²

Step-by-step explanation:

Formula for surface area of a cylinder is:

2πrh + 2πr²

The radius is 12 and the height is 15, so we plug it in:

2π(12·15) + 2π(12)²

2π(12·15) + 2π(12)²=2034.72.

Answer:

250

Step-by-step explanation:

Answer:

250 withdraws per machine

Step-by-step explanation:

8,000,000/32,000

The word "per" indicates division/multiplication.

Answer:

1/4

Step-by-step explanation:

In a box plot, each whisker represents  

1

4

of the data. So,  

1

4

of the boats could support 12 or more pennies.

The pennies can be added to the boat before it sinks is 10.

Volume is a degree of occupied three-dimensional area. its miles are regularly quantified numerically with the use of SI-derived devices or with the aid of various imperial devices. The definition of the period is interrelated with the extent.

here, we have,

Density is the substance's mass according to a unit of volume. The image most customarily used for density is ρ, even though the Latin letter D also can be used. Mathematically, density is described as mass divided with the aid of the extent

Mass of  aluminum boat = 16.5 gram

Volume = 425 cm³

Density = mass/ volume

           = 16.5/425

           = 0.039 gcm⁻³  

The density of water and boat must be equal or more in order of sinks.

The density of water = 1 gcm⁻³

1  gcm⁻³ = mass × 0.039

mass = 1/ 0.039

mass = 25.64 g

A total of 25.64 grams of mass can be added.

mass of each penny = 2.5 g

Therefore the total number of pennies that can be added is = 25.64 /2.5

                                                                                                      = 10.256

Taking the whole number = 10 pennies can be added o the boat before it sinks

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I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link:

bit.[tex]^{}[/tex]ly/3gVQKw3

Answer:

8) 1/3, 0.33, 33 1/3%

9) 2/3, 0.67, 66 2/3%

Step-by-step explanation:

Answer: it is the 4 one which is 3(5-n)=2n+16

An example that contradicts this definition would be an ellipse that set all points such that the sum of the distances between the point and two other fixed points (called foci) is constant.

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

r² = (x−h)² + (y−k)²

A circle is defined as the set of all points that are the same distance from one given point, called the center of the circle. An example that contradicts this definition would be an ellipse, which is defined as the set of all points such that the sum of the distances between the point and two other fixed points (called foci) is constant.

An ellipse is not a circle since all points of an ellipse are not equidistant to the center point

To make the definition more accurate, it could be modified to say "A circle is defined as the set of all points that are a fixed distance from one given point, called the center of the circle." or "A circle is defined as the set of all points such that the distance between the point and the center is constant"

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Answer:

Use the image as an example

Step-by-step explanation:

Use this image as an example to solve it may help.

Hopefully this helps:)

Answer:

H) {8, 9, 10, 11, 12}

Step-by-step explanation:

The domain of a problem is the set of all possible values that can be the input of a given function. In this case, the problem asks for the number of volleyball players are on a team. Since one cannot have a fraction of a person, then the domain must be a set of whole numbers. Moreover, the problem gives one the information that there has to be at least (8) players, and no more than (12). Thus, the only option that satisfies all of these requirements is option (H). Therefore the correction option is the following,

H) {8, 9, 10, 11, 12}

Based on the 2:5 quantity of concentrate and water, the amount of water required for 90 mililitres will be 225 mililitres of water.

Firstly we will be creating the ratio for the mentioned information. It will be as follows-

Amount of concentrate/Amount of water

The proportion will be -

2/5 = 90/Concentration of water

Concentration of water = 90×5/2

Now perform multiplication in numerator on Right Hand Side of the equation

Concentration of water = 450/2

Then work out the division on Right Hand Side of the equation

Concentration of water = 225 mililitres

Thus, the required amount of water is 225 mililitres.

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Answer:

(x + 2)^2 + (y + 5)^2 = 1

Step-by-step explanation:

Since this circle is centered at (-2, -5), we have to add values within the squares. The standard form of a circle equation is:

(x - h)^2 + (y - k)^2 = r^2

So -2 is h and -5 is k. Substituting that in we get:

(x + 2)^2 + (y + 5)^2 = r^2

We are given the radius is 1, and one squared is one, so the final equation is:

(x + 2)^2 + (y + 5)^2 = 1