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Answer:

Adam found 16 seashells

The numbers arranged in a sequence will be - ∛100² < - 4.67 < - 4.25 Both Victor and Sean are correct.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Victor thinks that negative 28 / 6 Is greater than negative ∛100². Sean thinks that 17 / 4 is greater.

The value of the number negative 28 / 6 will be - 4.67.

The value of the number negative ∛100² will be - 21.54.

And the value of the number negative 17/4 will be - 4.25.

The numbers are arranged in a sequence.

- ∛100² < - 4.67 < - 4.25

Both Victor and Sean are correct.

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The congruence theorems or postulates that are taken to be reasons why ABV≈ XYZ are SSS and SAS. That is option A and C.

The congruence theorem of triangle consist of various theorem that shows how two triangles are similar. They include the following:

Side side side theorem(SSS): This states that triangles are congruent if the three sides of one are equal to the three sides of another one.

Side angle side theorem(SAS): This states that triangles are congruent if two sides and one angle (between the sides) of one triangle are equal to two sides and one angle of another triangle.

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The graph of the function g(x) = x + 3 is a straight line that passes through the point (0, 3) on the y-axis and has a slope of 1.

To understand how to plot the graph, let's consider a few points on the line.

We can choose any values for x and calculate the corresponding values for g(x).

Let's start with x = 0.

Substituting this value into the function, we get g(0) = 0 + 3 = 3.

So, the point (0, 3) is on the graph.

Next, let's choose x = 1.

Substituting this value into the function, we get g(1) = 1 + 3 = 4.

This gives us another point on the line, (1, 4).

Similarly, we can choose more values for x and calculate the corresponding values for g(x).

For example, if we let x = -1, we get g(-1) = -1 + 3 = 2, giving us the point (-1, 2).

By connecting these points and extending the line in both directions, we obtain a straight line that represents the graph of g(x) = x + 3.

The line has a positive slope of 1, which means it rises by 1 unit vertically for every 1 unit it moves horizontally.

Overall, the graph of g(x) = x + 3 is a straight line that passes through the point (0, 3) and has a slope of 1.

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No, there are x values which map to more than 1 y-value.

Given that Matthew examines the relation as shown in the below.

{(4, -11), (3,1), (0,1), (2,6), (3, -1)}

We need to check whether the relation is a function or not,

So, we know that,

A relation can map inputs to multiple outputs. It is a function when it maps each input to exactly one output. The set of all functions is a subset of the set of all relations.

If any x values are repeated, and the corresponding y values are different, then we have a relation and not a function.

Here we can see that the y values are repeated, so it is not a function.

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The range of the function y = 1/2 x + 2 is {0, 1, 2}, if the domain of the function is {-4, -2, 0}.

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable.

The given function is,

y = 1/2 x + 2.

Also, the domain of the function is {-4, -2, 0}.

Since, the domain of the functions defines the values of x,

And range defines the value of y in function.

The value of y at x = -4

y = 1/2(-4) + 2 = -2 + 2 = 0

At x = -2,

y = 1/2(-2) + 2 = -1 + 2 = 1

At x= 0,

y = 1/2 (0) + 2 = 2

The values of y are 0, 1 and 2.

Hence, the range of the function is {0, 1, 2}.

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Answer:

S₁₆ = 344

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = - 1 and d = a₂ - a₁ = 2 - (- 1) = 2 + 1 = 3 , then

S₁₆ = \(\frac{16}{2}\) [ (2 × - 1) + (15 × 3) ]

     = 8 (- 2 + 45)

     = 8 × 43

     = 344

Solve for \(t\) when \(h=0\), given \(v_0=0\) and \(h_0 = 4\).

\(0 = -16t^2 + 4 \implies 16t^2 = 4 \implies t^2 = \dfrac14 \implies t = \dfrac12\)

so it will take half a second for the ball to hit the ground.

The solution of sum of expression is,

⇒ (x² - x + 1) / (x - 1)(x - 2)

We have to given that;

Expression is,

⇒ [x /(x² - x - 2)]  + [ (x - 1) / (x - 2) ]

We can simplify as;

⇒ [x / (x² - x - 2)]  + [(x - 1) / (x - 2)]

⇒ [x / (x² - 2x + x - 2)] + [(x - 1) / (x - 2)]

⇒ [x / [ x (x - 2) + 1(x - 2)] + [(x - 1) / (x - 2)]

⇒ [x / (x - 1) (x - 2)] + [(x - 1) / (x - 2)]

⇒ [1/(x - 2)] [ x/(x - 1) + (x - 1) ]

⇒ [1 / (x - 2)]  × [ x + (x - 1)²] / (x - 1)

⇒ [x + (x - 1)² ] / [(x - 1) (x - 2)]

⇒ (x + x² - 2x + 1) / (x - 1) (x - 2)

⇒ (x² - x + 1) / (x - 1) (x - 2)

Hence, The solution of sum of expression is,

⇒ (x² - x + 1) / (x - 1) (x - 2)

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Part of a financial advisor's job is to allocate money in the best available asset or security (eg: stocks and bonds). So they look at market data and use mathematical models to help judge on where to put money. Their goal is to so called "beat the market", meaning they want to earn the best return compared to other players in the market. Doing so will allow them to "buy low, sell high" which is a common cliche in finance. Though it's a very good rule to follow of course.

The efficient market hypothesis says that whatever the stock price is currently, it reflects everything about that company. In other words, there are no hidden facts that may surprise investors to drastically change the price of the stock. All information is completely transparent. What this means is that anyone can determine where to put their money without the need for a financial advisor.

I don't think demand would be completely wiped out since even if in a 100% transparent environment, people would still prefer to have others manage their money or not want to deal with complicated math formulas. However, demand would be reduced to some degree. In reality, there are always hidden factors that don't fully contribute to the cost of a security, which is why the efficient market hypothesis isn't fully applicable in every situation. So this is likely why financial advisors are in demand and are paid well.

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer: where’s the picture

Step-by-step explanation:

Hum

Step-by-step explanation:

by considering how many inches (") are in one foot (').

the answer is 12. there are 12 in in every ft.

so, now we can convert everything to the smallest scale (inches) and do the calculation based on inches :

(8×12 + 4) - (2×12 + 6) = 96 + 4 - 24 - 6 = 100 - 30 = 70"

and now to translate 70" back into ft and in :

70/12 = 5 with a remainder of 10

70" = 5' 10"

Answer:

706.5 inches^2.

Step-by-step explanation:

The area of a circle is given by the formula A = πr^2, where A is the area of the circle, r is the radius of the circle, and π is a mathematical constant approximately equal to 3.14.

To find the area of a Mercedes wheel with a radius of 15 inches, we can substitute these values into the formula:

A = πr^2 = π(15 inches)^2 = 706.5 inches^2

Rounding to the nearest tenth, the area of the Mercedes wheel is approximately 706.5 inches^2.

Answer:

24

Step-by-step explanation:

if you look at them they are each multiplied by 3

The equation that represents the total cost of the membership will be y = 5x + 265.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A local rec center offers a yearly membership for $265. The center offers aerobics classes for an additional $5 per class.

Let 'x' be the number of aerobics classes and 'y' be the total cost. Then the equation is given as,

y = 5x + 265

The equation that represents the total cost of the membership will be y = 5x + 265.

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The ratio of a to d can be expressed by multiplying the ratio of a to b, b to c, and c to d. Therefore, a to d = (a to b) x (b to c) x (c to d).

The ratio of a to d can be determined by using the given ratio of a to b, b to c, and c to d. To begin, the ratio of a to b can be expressed as a:b, the ratio of b to c can be expressed as b:c, and the ratio of c to d can be expressed as c:d. Then, the ratio of a to d can be determined by multiplying the ratios of a to b, b to c, and c to d. This can be written as (a:b) x (b:c) x (c:d). Therefore, the ratio of a to d can be expressed as (a:b) x (b:c) x (c:d). For example, if the ratio of a to b is 2:3, the ratio of b to c is 4:5, and the ratio of c to d is 6:7, then the ratio of a to d would be (2:3) x (4:5) x (6:7) or 24:35.

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Giving the inequality

the inequality then is

y>6

and his graph is

notice that the circle in 6 is open this represent that the inequality is y> 6 and 6 is not a vuele in the graph

y>6

then the graph that matches is option D

The solution to the equation 3 / 5x-2 = 2 / 3x-1 is x = 1.

Given the equation in the question;

3 / 5x-2 = 2 / 3x-1

To solve for x, cross multiply the equation

3 / 5x-2 = 2 / 3x-1

3( 3x - 1 ) = 2( 5x - 2 )

Apply distributive property

3( 3x - 1 ) = 2( 5x - 2 )

3×3x + 3×-1 = 2×5x + 2×-2

9x - 3 = 10x - 4

Subtract 10x from both sides

9x - 10x - 3 = 10x - 10x - 4

9x - 10x - 3 = - 4

Add 3 to both sides

9x - 10x - 3 + 3 = - 4 + 3

9x - 10x  = - 4 + 3

-x = -1

Divide both sides by -1

-x/-1 = -1/-1

x = 1

Therefore, the value of x is 1.

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Answer 3.04 x 10^-2

I hope that helps!

Answer:

9 > 10

Step-by-step explanation:

90 = 9

100 = 10

answer = 9.10

Answer:

-5/4

Step-by-step explanation:

the slope is the variable in front of x

y = mx + b

m = slope

b = y-int

Answer:

-5/4

Step-by-step explanation:

using slope intercept form, the slope is -5/4

m= -5/4

Juliet will earn the same amount of money whether she chooses a monthly salary of ​$1900 from the company or a base salary of ​$1800 plus a ​5% commission on furniture sales if her sales amount to $2000.

To find the amount of sales for which the two salary choices are equal, we set the equation for the base salary plus commission equal to the equation for the flat monthly salary. The equation can be written as:

1800 + 0.05x = 1900

where x is the amount of furniture sales in dollars.

Simplifying and solving for x, we get:

0.05x = 100

x = 2000

If she sells less than $2000 of furniture, she will earn more with the flat monthly salary of $1900. If she sells more than $2000 of furniture, she will earn more with the base salary plus commission. This calculation provides an important decision-making tool for Juliet, as she can tailor her salary choice based on her expected sales for the month.

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If the sample size is 300 and about 5% of the population has a particular genetic mutation then the standard deviation for the number of people with the genetic mutation in such groups of 300 is 3.77.

Given sample size be 300 and about 5% of the population has a particular genetic mutation.

We are required to find the standard deviation for the number of people with the genetic mutation in groups of 300.

Sample size=300

The standard deviation for the number of people with the genetic mutation is calculated as:

Standard deviation=\(\sqrt{np(1-p)}\)

Use the known values in the above formula.

Standard deviation=\(\sqrt{300*0.05(1-0.05)}\)

=\(\sqrt{14.25}\)

=3.77

Hence if the sample size is 300 and about 5% of the population has a particular genetic mutation then the standard deviation for the number of people with the genetic mutation in such groups of 300 is 3.77.

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Answer:

  $700 for a chair and a table

Step-by-step explanation:

Let t and c represent the price of a table and a chair, respectively. The given relations are ...

  10c = 4t

  15c +2t = $4000

Divide the first equation by 2 and substitute for 2t:

  5c = 2t

  15c +5c = $4000

  20c = $4000

  c = $200

  t = 5c/2 = 5($200)/2 = $500

The total price of a chair and a table is ...

  $200 +500 = $700 . . . . price of a chair and a table

The number of subsets follows the rule

Where n represents the number of elements inside the set.

The number of proper subsets is defined as

So, the given set has the elements -2, -1, 0, 1, 2, which means n = 5.

Then,

Answer:

4/15

Step-by-step explanation:

To answer this question, we're gonna want to convert the fractions so that they have the same denominator (the number on the bottom of the fraction) and it's easy for us to visualize what's going on. AKA, we need to find the least common denominator (LCD).

We're going to multiply 2/5 and 1/3 by a number so they have the same denominator. In this case, that would mean multiplying them by the other fractions denominator. So multiplying 2/5 by 3 and 1/3 by 5.

2/5x3= 6/15.    1/3x5=5/15.

Now we're viewing the book in 15ths instead of both 5ths and 3rds.

6+5=11, so we know that 11/15 of the book has been read.

15/15-11/15=4/15

4/15 of the book is left to read.

Hope this explanation helped!

Answer:

yes they both equal 1

Step-by-step explanation: