Ravi tested three cameras last weekend. The table below shows the number of pictures taken and how much time it took.

The graph of the square root function is attached.

A relation's domain and range are established, and they consist of all ordered pairs' x- and y-coordinate sets, respectively.

A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values. Range, Domain, and Function.

Given functions, we can find the domain and range from the curve,

y = √(5x)

graph in Red line,

from curve domain (0, ∞)

range (0, ∞)

y = -[tex]\sqrt{x - 1}[/tex]

graph in blue line,

domain(1, ∞)

range (-∞, 0)

vertex (1, 0)

y  = 2[tex]\sqrt{x + 2}[/tex]

graph in green line,

domain (-2, ∞)

range (0, ∞)

vertex (-2, 0)

y = [tex]\sqrt{3x - 4}[/tex]

graph in purple line,

domain (4/3, ∞)

range (0, ∞)

vertex(4/3, 0)

y = [tex]\sqrt{x+ 7}[/tex] - 4

graph in black line,

Domain (-7, ∞)

range (-4, ∞)

vertex (-7, -4)

y = 1 - [tex]\sqrt{2x + 3}[/tex]

graph in orange line,

Domain(-3/2, ∞)

range (-∞, 1)

vertex (-3/2, 1)

Hence the domain and range of functions are as follows.

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She can generate one of 30 results by tossing a coin, rolling a fair die with six sides labeled 1 through 6, and spinning a spinner with multiple equal-sized sections marked Walk, Run, and Stop.

We only apply the basic concept of counting. According to this rule, the number of options for both occurrences is equal to p x q if there are p possibilities once per event as well as q possibilities for just a second event. This formula can be expanded to include more events.

Let's say there are p possible outcomes when a coin is flipped based on the information provided. Therefore, p=2 because there are two alternative results, heads or tails.

Let q represent the result of a fair die that is shaped like a six-sided cube.

Labeled 1 to 6. So, q = 6.

and let r represent the results of spinning a wheel with three equally sized sections marked Walk, Run, and Stop. then, r = 3.

∴ Total possible outcomes  

= 2×6×3

= 36 outcomes

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Answer:

A. The initial fee charged by Initial Me is $80.

D. Initial Me charges $8 per T-shirt printed.

E. Monogram Mania charges less per T-shirt printed than Initial Me charges.

F. The initial fee charged by Monogram Mania is $50.

Hope this helps

As they are symmetric around the graph's origin, cosine and secant are even functions.

This indicates that the resulting graph will be identical to the original graph if you reflect it around the x-axis. This is due to the fact that sec(x) = sec(-x) and cos(x) = cos(-x).

Because their values are the same for both positive and negative angles, the cosine and secant functions are even. This indicates that the cosine and secant of any given angle will be identical to one another for any given angle, as will the cosine of that angle and the secant of that angle. They are useful for a wide range of tasks because of this property, such as resolving differential equations and working with periodic functions.

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The equation with the same solutions are; 2.3·p - 10.1 = 6.5·p - 4 - 0.01·p

The properties of equality can be used to rewrite the equations in

simplified form.

Two equations that have the same solution as the given equation are;

2.3p-10.1=6.49.p-4

230.p-1010=650.p-400-p

Reasons:

The given equation is; 2.3·p - 10.1 = 6.5·p - 4 - 0.01·p

Simplifying the above equation by collecting like terms gives;

2.3·p - 10.1 = 6.5·p - 0.01·p - 4 = 6.49·p - 4

2.3·p - 10.1 = 6.49·p - 4

Multiplication property of equality:

Both sides of an equation will remain equal, when both sides are

multiplied by the same amount.

Multiplying both sides of the original equation by 100 gives the same

solution as follows;

100 × (2.3·p - 10.1) = 100 × (6.5·p - 4 - 0.01·p)

230·p - 1010 = 650·p - 400 - p

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Answer:

B-2.3p – 10.1 = 6.49p – 4 and C- 230p – 1010 = 650p – 400 – p

Step-by-step explanation:

Answer:

See Below

Step-by-step explanation:

Answer:

Line: Solid

Shade: Above

m = -4/5

b = 2

(0,2) - True -Yes

(3,4) - True - Yes

(-2,-2) - False - No

Step-by-step explanation:

Given:

4x + 5y ≥ 10

Questions:

Line: Solid or Dashed?

Shade: Above or Below?

m= [?]

b= [?]

Are these points solution:

Solve:

Inequalities that use '< or >' symbols are plotted with a dashed line. Due to that dashed line means the solution doesn't include the line itself.

< = Less than

> = Greater than

Inequalities that use '≤ or ≥' symbols are plotted with a solid line. Due to that solid line means the solution does includes the line itself

≤ = Less than or equal to

≥ = Greater than or equal to

Therefore, based on the given, the line is solid. Which also means the solution does includes the line itself.

We also know that the given info with the inequalities of "≥".

"≥" Means greater than or equal to which means shade above. If it was "≤ " which means less than or equal to you have to shade below.

To find the m and b we first have to know that;

y = mx + b

m = Slope

b = y-intercept

To find the Slope(m) and b(y-intercept) we first have to put 4x + 5y ≥ 10 in  slope-intercept form.

4x + 5y ≥ 10

4x-4x + 5y ≥ 10-4x {Subtract 4x from both sides}

5y ≥ -4x + 10

5y ≥ -4x + 10 {Divided all by 5}

5y/5  ≥ -4x/5 + 10/5

y =-4/5x+2

Hence, now we know that;

m = -4/5

b = 2

To see if the following points {(0,2) (3,4) (-2,-2)} are solutions for 4x + 5y ≥ 10

All we have to do is to substitute it in.

Starting with (0,2)

x = 0

y = 2

4(0) + 5(2) ≥ 10

0 + 10 ≥ 10

10≥ 10

True. 10 isn't greater than 10 but- It's equal to 10. ≥ Means greater than or equal to Hence, (0,2) is a solution.

Next we have (3,4)

x = 3

y = 4

4(3) + 5(4)  ≥ 10

12 + 20  ≥ 10

32  ≥ 10

True. 32 is greater than 10 - Hence, (3,4) is a solution.

Finally we have (-2,-2)

x = -2

y = -2

4(-2) + 5(-2)  ≥ 10

-8 + -10  ≥ 10

-18  ≥ 10

False. Although you may probably think 18 is greater than 10 it is not correct. -18 isn't greater than 10 due to that it is negative.

RevyBreeze

Answer:

125250

Step-by-step explanation:

S(n)=( (a(1) + a(n)) ×500 ) ÷ 2

S(500) = (501 ×500) ÷ 2 = 125250

Answer:

for me it is a circle

Step-by-step explanation:

A) In the first case where we don't count the baggage fee, the percent increase is 53.3%

B) In this case the percent increase is 43.6%

We can find the percent increase using the following formula:

100%*(final price - initial price)/initial price

Here we know that:

final price = $345

Initial price = $225

Then the percent increase is:

100%*($345 - $225)/$225 = 100%*0.533 = 53.3%

So the price of the ticket increased by 53.3%

b) If we also count the $50 for the baggage fee with the new ticket price, then the increase is:

100%*($345 + $50 - $225 - $50)/($225 + $50) = 100%*0.436 = 43.6%

Where the $50 fee would be counted on the initial and final price, that is why it appears twice.

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The acute angle of a triangle is an angle that measures less than 90°. Hence, in the triangle ABC, an acute angle is any angle that is smaller than 90°.

An angle is the figure created by two rays whose termini coincide. The measure of an angle is the amount of rotation required to bring one ray onto the other. A degree or angle that is less than 90° is said to be acute. This means that the two rays forming the angle can be brought together without making a full rotation.

A right angle is an angle having a measurement of precisely 90°. A right angle is formed when the two rays are perpendicular to each other, meaning they form a 90-degree angle. A right angle is often symbolized with a small square at the angle's vertex.

If an angle measures more than 90°, it is called an obtuse angle. An obtuse angle is formed when the two rays forming the angle can be brought together by making more than one full rotation. Obtuse angles are larger than right angles, but smaller than straight angles (which measure 180°).

It's important to note that the terms "acute," "right," and "obtuse" are not just limited to angles. They can also be used to describe other geometric shapes, such as triangles and circles. In these cases, the definitions may vary slightly, but the basic concept remains the same.

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Answer; Five-halves

Step-by-step explanation:

Put triangles on graph

To find the answer you divide the A' to B' by the A to B distance.

So you divide 5/2

Answer:

see explanation

Step-by-step explanation:

using the identity

sin²Θ = 1 - cos²Θ

consider the left side

1 - [tex]\frac{sin^20}{1+cos0}[/tex]

= 1 - [tex]\frac{1-cos^20}{1+cos0}[/tex]

1 - cos²Θ is a difference of squares and factors as (1 - cosΘ)(1 + cosΘ)

= 1 - [tex]\frac{(1-cos0)(1+cos0)}{1+cos0}[/tex] ← cancel (1 + cosΘ) on numerator/ denominator

= 1 - (1 - cosΘ) ← distribute parenthesis by - 1

= 1 - 1 + cosΘ

= cosΘ

= right side

Answer: (-b + a, b + a).

Step-by-step explanation:

To find the radius of convergence of the series, we use the formula:

R = 1/limsup|bn|^(1/n)

To find the interval of convergence, we can use the following:

If R > 0, the series converges for all |x-a| < R and diverges for |x-a| > R.

If R = 0, the series converges only at x = a and diverges for all other values of x.

If R = ∞, the series converges for all values of x.

Therefore, the interval of convergence of the series is (-R + a, R + a).

In this case, the radius of convergence R is given as b, and the interval of convergence is (-b + a, b + a).

A sequence is a function whose domain is the set of natural numbers or a subset of the natural numbers.

The domain basically can be defined a set of all possible inputs for the function.

The range  is basically the difference between the highest and the lowest numbers of a sequence.

To find the range, first put all the numbers in order. Then subtract the lowest number from the highest. The difference gives you the range of the list.

The domain of a sequence consists of the natural (counting) numbers 1, 2, 3, 4, ...Whereas the range of a sequence consists of the terms of the sequence.

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Answer:

x = 33

Step-by-step explanation:

67 = 2x + 1

66 = 2x

x = 33

2(33) + 1 = 67

The value of the mathematical statement is (d) 0.9m  - 4.9n - 1

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

A mathematical statement

The mathematical statement is give as

1.4m + 3.7n +1 subtracted from 2.3m−1.2n

When this is represented as an expression

We have the following representation

2.3m−1.2n - (1.4m + 3.7n +1)

Express properly

2.3m − 1.2n - (1.4m + 3.7n + 1)

Open the brackets

So, we have the following representation

2.3m − 1.2n - (1.4m + 3.7n + 1) = 2.3m − 1.2n - 1.4m - 3.7n - 1

Collect the like terms

So, we have the following representation

2.3m − 1.2n - (1.4m + 3.7n + 1) = 2.3m - 1.4m  − 1.2n - 3.7n - 1

Evaluate the like terms

So, we have the following representation

2.3m − 1.2n - (1.4m + 3.7n + 1) = 0.9m  - 4.9n - 1

Hence, the expression is (d) 0.9m  - 4.9n - 1

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The final temperature of the mixture is approximately 4.2°C.

1. Calculate the total heat capacity of the calorimeter:

Heat capacity = Mass x Specific heat capacity of water = 1.0 kg x 4.18 J/g°C = 4180 J/°C

2. Calculate the heat lost by the water:

Heat lost = Mass of water x Specific heat capacity of water x (T_final - T_initial)

= 1.0 kg x 4.18 J/g° C x (4.2°C - 20°C)

= -41360 J

3. Calculate the heat gained by the ice:

Heat gained = Mass of ice x Specific heat capacity of ice x (T_final - T_initial)

= 1.0 g x 2.09 J/g° C x (4.2°C - 0°C)

= 8.36 J

4. Calculate the final temperature of the mixture:

Final temperature = (Heat lost + Heat gained) / Heat capacity

= (-41360 J + 8.36 J) / 4180 J/°C

= 4.2°C

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The amount of markup if markup to 40% is nullified by giving some discount of Rs. 980 is Rs 280.

The markup, expressed as a percentage of cost, is the difference between a product's selling price and its cost.

The markup of 40%

Let's Assume the cost price = Rs 100C

Calculate the markup as shown below,

Mark up = (40 / 100) 100C = Rs 40C

Marked price = 100C + 40C = Rs 140C

Hence, 140C = 980

C = 7

Thus, markup price = 7 × 40 = Rs 280

Therefore, the amount of markup if markup to 40% is nullified by giving some discount of Rs. 980 is Rs 280.

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Answer:

10/15 pounds.

Step-by-step explanation:

14/15-4/15=10/15

The steps of scatter plots are mapped as follows :

Step 1: Decide the Two Variables - First of all, we shall have to select the variables between which there exists a material relationship.

Step 2: Collect Data - After selecting the variables, we shall have to collect relevant data to draw meaningful conclusions.

Step 3: Map the Data - After completion of data collection, we shall have to map it on the X and Y axes of the Cartesian Co-ordinate system.

Step 4: The Line of Best Fit - In the next step, we shall have to statistically compute the line of best fit for the scattered data points.

Step 5: Come Up With an Exact Number - In the next step, we shall have to come up with a correlation coefficient. This number is the best metric to understand correlation and lies between -1 and +1.

Step 6: Interpret the Number - In the last step, we shall have to interpret the number. Any data above + or - 0.5 suggests a strong correlation.

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The correct question is:

What are the steps of a scatter plot?

Answer:

Yes

Step-by-step explanation:

You can rearange either term to match the other:

3xy can arrange to 3yx and 4yx can become 4xy.

An ex of A term that isnt alike would be x and y.

Hope this helps!

Answer:

y = 2/5x + 10 (1st box)

y = -1/2x + 1/2 (2nd box)

y = 3/2x - 11/2 (3rd box)

y = 4/3 x - 7/3 (4th box)

y = 3/4x - 10 (5th box)

Step-by-step explanation:

The required values are a = 7, b = -2, and c = -4 to make the given expression equivalent to the given expression.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Consider expression.

3x/(x+2) + 4x/(x-2)

To begin, we factor out an x from both numerators:

3x/(x+2) + 4x/(x-2) = x(3/(x+2) + 4/(x-2))

Then, factor out a common denominator from the two terms in the parentheses:

x(3/(x+2) + 4/(x-2)) = x((x-2)(3/(x+2)) + (x+2)(4/(x-2)))

Then, we can expand and simplify:

x((x-2)(3/(x+2)) + (x+2)(4/(x-2))) = (7x² - 2x)/(x² - 4)

Therefore, we can set a = 7, b = -2, and c = -4 to make the given expression equivalent to the given expression.

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option C again correct if I'm wrong

An arithmetic sequence has a constant difference between each consecutive pair of terms. This is similar to the linear functions that have the form y=mx+b. A geometric sequence has a constant ratio between each pair of consecutive terms. This would create the effect of a constant multiplier.

Jody has 20 tropical fish and Phillip has 2x = 2*20 = 40 tropical fish.
Together, Phillip and Jody have 20 + 40 = 60 tropical fish.

Let x be the number of tropical fish Jody has.
We know that Phillip has twice as many tropical fish as Jody, so Phillip has 2x tropical fish.
We also know that after giving Jody 10 tropical fish, Phillip would have half as many as Jody, so 2x - 10 = x/2.

Solving for x, we get:
x = 20

So Jody has 20 tropical fish and Phillip has 2x = 2*20 = 40 tropical fish.
Together, Phillip and Jody have 20 + 40 = 60 tropical fish.

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It can express as tan (θ) =  -√(sec² (θ) - 1).

A quadrant is defined as an area contained by the x and y axes, which there are four quadrants in a graph.

We have to express tan(θ) in terms of sec(θ) for θ in Quadrant II.

As per the trigonometry identity, we know that

sec² (θ) - tan² (θ) = 1

tan² (θ) = sec² (θ) - 1

Apply the square root property to both sides, and we get

tan (θ) = ± √(sec² (θ) - 1)

Since θ in Quadrant II, so we take a negative value

tan (θ) =  -√(sec² (θ) - 1)

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The points that are 3 units from point A and on the same x-coordinate are (5, 9) and (5, 3)

The graph is attached

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

A = (5, 6)

The coordinates of the  points that are 3 units from point A and on the same x-coordinate are represented as

Point = (x, y ± 3)

So, we have

A' = (5, 6 + 3) and A' = (5, 6 - 3)

Evaluate the like terms

A' = (5, 9) and A' = (5, 3)

Hence, the points are (5, 9) and (5, 3)

See attachment for the graph

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The Quadratic form is (x² - 1)(x² - 9) = 0 and the value of x is {1, -1, 3, -3}.

What is Quadratic form ?

In mathematics, a polynomial with all terms of degree two is called a quadratic form.

Given, x^4-10x^2+9=0

here, a + b = -10

and, ab = 9

So, a = -1 and b = -9

So, It can be written in Quadratic form as :

(x² - 1)(x² - 9) = 0

Now, we can solve as follows:

       x² - 1 = 0                         and,    x² - 9 = 0

      (x+1)(x-1) = 0                              (x+3)(x-3)=0

         x = ±1                           and, x = ±3

∴ Value of x = {1, -1, 3, -3}

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