2) Julie wants to purchase swim lessons for her son. There are four different stores that offer swim lessons. Based on the lowest cost per minute, which store has the BEST deal ?
Store A: $25 for a 45 minute lesson, Store B: $30 for a 1 hour lesson, Store C: $45 for a 1.5 hour lesson, and Store D: $80 for three 1 hour lessons

Answer:

Function Domain and Range

g(x)=\sqrt{x} -5

what is the range and domain

To find the range of g(x), we can substitute a few values of x into the expression for g(x) to see what the output is. For example, when x = 0, g(x) = sqrt(0) - 5 = 0 - 5 = -5. When x = 1, g(x) = sqrt(1) - 5 = 1 - 5 = -4. When x = 2, g(x) = sqrt(2) - 5 = 1.4142 - 5 = -3.5858.

As we can see, the output of g(x) is always a negative number for any value of x in the domain. Therefore, the range of g(x) is the set of all negative real numbers, or (-infinity, 0).

So, the domain of g(x) is all real numbers x such that x >= 0, and the range of g(x) is all negative real numbers (-infinity, 0).

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

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.

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.

Learn more about concentration -

https://brainly.com/question/26255204

#SPJ4

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:

Rational

Step-by-step explanation:

Answer:

D.) 12/5

Step-by-step explanation:

tangent is opposite over the adjacent side so the opposite of x is 24 and the adjacent is 10 so 24/10 divided by 2 gets you 12/5

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.

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"

Learn more about the equation of a circle here:

brainly.com/question/1554214

#SPJ1

Answer:

7 months

Step-by-step explanation:

Spotify is better
Have a great day

b because you are dividing

Answer: D (3:7)

Step-by-step explanation:

You need to simplify the 56:24 until fully simplified (using the highest common factor). Flip this so it is instead surfboards to umbrellas rather than umbrellas to surfboards.

56/8 = 7
24/8 = 3

There is a relationship between the numbers of strawberries gathered and the amount of rainfall that can be found in a model (function).

A scatter plot with a trendline along which the data points are situated can be used to demonstrate the relationship between correlated variables.

Indicating a positive correlation is when the trendline slopes higher from left to right, while the opposite is true.

Part A:

The correlation coefficient of r = 0.1 is valid based on the provided scatter plot.

Part B:

The independent variable (the explanatory variable) is the cause of the dependent variable in a causal connection.

As a result, you need to identify a plausible factor that can influence the number of strawberries collected.

The week before harvest, I could picture how much it would rain.

Hence, There is a relationship between the number of strawberries gathered and the amount of rainfall that can be found in a model (function).

Learn more about Scatter Plot visit:

brainly.com/question/6592115

#SPJ4

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:

4

Step-by-step explanation:

→ –36 – ( –40 )

→ –36 + 40

→ 4

[tex] \therefore [/tex] 4 is the required answer.

Answer:

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

The equation of the line perpendicular to the line 5x-4y=10 and passing through the point (5,12) is y = 4x/5 + 8.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

Given:

The line 5x-4y=10.

Simplifying,

y = (-5/4)x + 5/2

Comparing with the slope-intercept form,

y = mx + b,

where m is the slope and b is y-intercept.

The slope is = -5/4

The slope of the perpendicular line,

= negative reciprocal of the slope of the line where the line is perpendicular.

= 4/5

So, the line:

If a line passes through one point (x₁ ,y₁) and have slope m,

then the equation of line is

y - y₁ = m (x - x₁)

y - 12 = (4/5)(x-5)

y = 4x/5 + 8

Therefore, the equation of the line is y = 4x/5 + 8

To learn more about the slope;

brainly.com/question/3605446

#SPJ1

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

Learn more about volume here:-

brainly.com/question/1972490

#SPJ3

Answer:

4multiply by 10 lolllllllll

Answer:

20 each

Step-by-step explanation:

10 x 4 = 40 40 - 20 = 20

Answer:

[tex]11\pi[/tex]

Step-by-step explanation:

[tex]s = r \times theta[/tex]

where r is the radius.

The radius is 11 and theta(in radians) is pi so

[tex]s = 11\pi[/tex]

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

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

Answer:

12?

Step-by-step explanation:

(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.

Know more about the factors here:

https://brainly.com/question/25829061

#SPJ4

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

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

Learn more about Equation at:

https://brainly.com/question/29657983

#SPJ4

The complete question is this:

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

Answer:

Step-by-step explanation:

65 minutes

Answer:

I have no idea

Step-by-step explanation:

No, 12 16 20 is not a right triangle. In order to be a right triangle, one side must be the same as the square root of the sum of the squares of the other two sides. In this case, the hypotenuse (side 20) is not equal to the square root of 12^2 + 16^2 which is 20.

No, 12 16 20 is not a right triangle. To determine whether or not something is a right triangle, we need to use the Pythagorean Theorem. This theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is side 20, and the other two sides are 12 and 16. When we calculate the square root of 12^2 + 16^2, we get 20, which does not match the length of the hypotenuse. Therefore, 12 16 20 is not a right triangle.

Learn more about right triangle here

https://brainly.com/question/4364353

#SPJ4

Step-by-step explanation:

215÷3=71

143÷6=23.9

71+23.9+60=154.9

By using formula and solving, Force of impact (pin) = Change in momentum (pin) / Time of collision = 12 kg*m/s / t

A collision is an event in which two or more objects come into contact with each other. In physics, a collision is defined as a rapid and forceful interaction between two or more objects that causes a transfer of energy. Collisions can be elastic or inelastic, depending on whether or not the total kinetic energy of the objects is conserved.

Force is a physical quantity that describes the interaction between two or more objects. It is a vector quantity, meaning it has both magnitude and direction. Forces can cause an object to accelerate, change its shape, or change its direction of motion. Forces can be categorized into different types, such as contact forces, which act when two objects are in contact, and non-contact forces, which act at a distance. Some examples of non-contact forces are gravitational force, electric force, and magnetic force.

To calculate the force of impact on the bowling ball and bowling pin during the collision, you can use the formula:

Force of Impact = Change in momentum / Time of collision

The change in momentum is given by the formula:

Change in momentum = Final momentum - Initial momentum

The initial momentum of the 6 kg bowling ball traveling at 2 m/s is:

Initial momentum (ball) = 6 kg * 2 m/s = 12 kg*m/s

The final momentum of the bowling ball can be calculated using the conservation of momentum principle, which states that the total momentum of the system remains constant before and after the collision. In this case, since the bowling pin is moving after the collision and the bowling ball is not, the final momentum of the bowling ball is zero.

Final momentum (ball) = 0

Change in momentum (ball) = Final momentum (ball) - Initial momentum (ball) = 0 - 12 kgm/s = -12 kgm/s

The force of impact on the bowling ball is:Force of impact (ball) = Change in momentum (ball) / Time of collision = -12 kg*m/s / t (t is the time of collision, assuming it's a short time)

Similarly, the initial momentum of the 1.5 kg bowling pin at rest is:

Initial momentum (pin) = 1.5 kg * 0 m/s = 0 kg*m/s

The final momentum of the bowling pin can be calculated using the conservation of momentum principle, which states that the total momentum of the system remains constant before and after the collision.

Final momentum (pin) = Initial momentum (ball) = 12 kg*m/s

Change in momentum (pin) = Final momentum (pin) - Initial momentum (pin) = 12 kgm/s - 0 kgm/s = 12 kg*m/s

The force of impact on the bowling pin is:

Force of impact (pin) = Change in momentum (pin) / Time of collision = 12 kg*m/s / t

To know more about force visit:

https://brainly.com/question/13191643

#SPJ4