please solve 14 and 15 only

i will mark brainliest!!!!

Answer:

2

Step-by-step explanation:

Density equals the mass of the substance divided by its volume; D = m/v. Objects with the same volume but different mass have different densities.

so 10/5=2 so the density =2

Answer:

make me brainliest plsssssssss

Step-by-step explanation:

A

Answer: None

Step-by-step explanation:

Answer:

-1 and 4/3

Step-by-step explanation:

So first we want to find the equation for the linear function g(x):

We know that it is linear, so it will follow the equation

y = mx + b

m is the slope, and b is the y-intercept

First, find the slope:

We can see that every time the x increases by 1, the output value is increased by 2

This means that the slope will be 2

Then, find the y-intercept:

The y-intercept is when the x value is equal to 0, so in this table, when the x value is 0, the output is 7

So putting these number into the equation will give us:

y = 2x + 7

Now to find the solutions:

You have to set these equations equal to each other and solve for x

The set up should look like this:

\(3x^{2} + x +3 = 2x+7\)

Put all of the values on one side:

\(3x^{2} -x-4 = 0\)

And then solve for x by factoring:

\(3x^{2} +3x-4x-4\) = 0

\((3x^{2} +3x)+(-4x-4)\) = 0

\(3x(x+1)-4(x+1)\) = 0

(x+1)(3x-4) = 0

Finally, to get the x values:

x + 1 = 0

x = -1

and

3x - 4 = 0

3x = 4

x = 4/3

So the answers are:

x = -1 and 4/3

The solution to the system of equations that includes quadratic function f(x) and linear function g(x) is (-1,5) and (4/3,29/3).

A polynomial function is a relation where a dependent variable is equal to a  polynomial expression. A polynomial expression is an expression including numbers and variables, where variables are raised to non-negative powers.

The general form of a polynomial expression is:

a₀ + a₁x + a₂x² + a₃x³ + ... + aₙxⁿ.

The highest power to a variable is the degree of the polynomial expression.

When degree = 2, the function is a quadratic function.

When degree = 1, the function is a linear function.

The quadratic function is given to us:

f(x) = 3x² + x + 3.

We need to determine the linear equation g(x). Since it's a linear equation we use the two-point method to determine the equation.

The two-point formula is:

y-y₁ = ((y₂-y₁)/(x₂-x₁))*(x-x₁)

We take the points g(2) = 11, g(1) = 9

g(x) - g(1) = ((g(2)-g(1))/(2-1))*(x-1)

or, g(x) - 9 = ((11-9)/(2-1))*(x-1)

or, g(x) - 9 = 2(x-1)

or, g(x) = 2x - 2 + 9 = 2x + 7

∴ g(x) = 2x +7, is the linear function g(x)

We are asked to find the solution to the system of equations f(x) and g(x).

To find the solution we need to check what is the common solution to both f(x) and g(x).

For that, we equate f(x) and g(x).

3x² + x + 3 = 2x + 7

or, 3x² - x - 4 = 0

or, 3x² + 3x - 4x - 4 = 0

or, 3x(x+1) -4(x+1) = 0

or, (3x-4)(x+1) = 0

∴ Either 3x-4=0 ⇒ x = 4/3

or, x+1=0 ⇒ x = -1.

g(-1) = 5 (from the table)

f(-1) = 3(-1)² + (-1) + 3 = 3 - 1 + 3 = 5

g(4/3) = 2(4/3) + 7 = 8/3 + 21/3 = 29/3

f(4/3) = 3*(4/3)² + (4/3) + 3 = 16/3 + 4/3 + 9/3 = 29/3

∴ f(-1) = g(-1) and f(4/3) = g(4/3), so

The solution to the system of equations that includes quadratic function f(x) and linear function g(x) is (-1,5) and (4/3,29/3).

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Both a frequency table and a frequency distribution are tools used to organize and summarize data, particularly in statistical analysis. They both display the frequency or count of occurrences of each unique value or category in a dataset.

The main difference between a frequency table and a frequency distribution is the type of data they are used to summarize. A frequency table is typically used to display the frequency of occurrence of qualitative or categorical data. It lists the categories or classes of data and the number of observations that fall into each category. For example, a frequency table could display the number of students in a class that received an A, B, C, D, or F grade in a course.

On the other hand, a frequency distribution is typically used to display the frequency of occurrence of quantitative or numerical data. It groups the data into classes or intervals and lists the number of observations that fall into each class or interval. For example, a frequency distribution could display the number of times a coin toss resulted in 0, 1, or 2 heads in a series of 10 tosses.

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Answer:

b

Step-by-step explanation:

We found that the height of the short wall "x" is 162.6 ft, the height of the tall wall "y" is 221.8 ft, and the distance between the canyon walls "z" is 162.6 ft.

To find the x, y, and z values we need to denote the right triangles from top to bottom as triangles 1, 2, and 3.

1. Finding the height of the short wall "x"

We can find the height of the short wall "x" (in triangle 3) with the following trigonometric function:

\( cos(\theta) = \frac{x}{H} \)

Where:

H: is the hypotenuse = 230 ft

θ: is the angle between x and H.

Knowing that the sum of θ and the angle 45° must be equal to 90°, θ is:

\( \theta = 90 - 45 = 45 \)

Hence, the height of the short wall "x" is:

\(x = cos(\theta)*H = 230cos(45) = 162.6 ft\)                

2. Finding the height of the tall wall "y"  

The height of the tall wall "y" is given by the sum of the bases of the two first right triangles (the right triangles 1 and 2):

\( y = y_{1} + y_{2} \)        

Where y₁ and y₂ can be calculated with the tangent and sine trigonometric functions.  

\(y_{1} = A*tan(20)\)        

\( y_{2} = 230sin(45) \)

Where A is the adjacent side to the angle 20°.

\( y = A*tan(20) + 230sin(45) \)      

Since the right triangles 2 and 3 form a square, with all the sides equals to x, we have:        

\( A = z = y_{2} = x = 230cos(45) \)        

We can use 230cos(45) or 230sin(45) to calculate y₂, so the height of the tall wall "y" is:      

\( y = y_{1} + y_{2} = A*tan(20) + 230cos(45) = 230cos(45)tan(20) + 230cos(45) = 221.8 ft \)                        

3. Finding the distance between the canyon walls "z"

As we said above, the "z" value is the same as "x", then:

\(z = x = 230cos(45) = 162.6 ft\)

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Answer:

220

Step-by-step explanation:

Answer:

a) 13/20 and 0.65

b) $13

c) $33

d) $455

e) $3.3

f) $29.7

g)$339.5

Step-by-step explanation:

Each hoodie costs the trader $20 and he intends to sell it at a Percentage markup of 65%

a) Write a percentage Markup value as a

I) Fraction

Percentage Markup = 65%

65% = 65/100 = 13/20

II) Decimal

= 65% = 65/100 = 0.65

b) Calculate the value of Markup of each hoodie

This is calculated as:

65% × Cost price

= 65% × $20

0.65 × $20 = $13

c) What price would the hoodies be?

Cost price of hoodie = $20

Percentage Markup = 65%

The selling price = x

Percentage Markup = Selling price - Cost price/Cost price

65% = x - $20/$20

Cross Multiply

0.65 × $20 = x - $20

13 = x - $20

x = $20 + 13

x = $33

Therefore, the selling price = $33

d) If the seller sells 35 hoodies on her first day, what is her profit.

Profit = Selling price - Cost price

Profit = $33 × 35 hoodies - $20 × 35 hoodies

Profit = $1155 - $700

Profit = $455

We are told that to improve sales, the seller gives a discount of 10% on selling price

Hence:

Selling price = $33

e) What is the discount amount for each hoodie

Discount Amount = % Discount × Selling price

Discount Amount = 10% × $33

= $3.3

f) What is the new selling price =

Old selling price - Discount amount

= $33 - $3.3

= $29.7

g) What profit does the seller make on each hoodie after the 10% discount for 35 hoodies

Profit = Selling price - Cost price

Profit = $29.7 × 35 hoodies - $20 × 35 hoodies

Profit = $1039.5 − $700

= $339.5

Answer:

C

Step-by-step explanation:

Answer:2+3p ≥ 20

Step-by-step explanation:

2 is the amount of points he earned

3 is how many rounds were left before finals

p is the additional points he earned

and ≥ 20 is he had to earn greater than or equal to 20 points total to move on.

hope this helps :}

\(\huge\text{Hey there!}\)

\(\large\text{6: 60,000 \& \bf ten thousands}\)

\(\large\text{7: 7,000 \& \bf thousands}\)

\(\large\text{3: 300 \& \bf hundreds}\)

\(\large\text{2: 20 \& \bf tens}\)

\(\large\text{8: 8 \& \bf ones}\)

\(\boxed{\boxed{\large\text{Answer: \bf ten thousands}}}\huge\checkmark\)☑️

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

The option that is not characteristic of the t-test is "The Student t distribution has mean of t = 0 and a standard deviation of 5 = 1". The correct answer is option A.

The t-test is a statistical test that uses the Student t-distribution. The Student t-distribution has a mean of 0, but its standard deviation is not equal to 1. The standard deviation of the t-distribution varies depending on the degrees of freedom, which is determined by the sample size. Therefore, the statement in option A is not true. The correct answer is option A.

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Answer:

240

Step-by-step explanation:

volume of the square pyramid = 245.33

given that

In geometry, a square pyramid is a pyramid having a square base. If the apex is perpendicularly above the center of the square, it is a right square pyramid, and has C4v symmetry. If all edge lengths are equal, it is an equilateral square pyramid

A square pyramid characterized by a square base is a three-dimensional shape having five faces, thus called a pentahedron. The most famous example of such a square pyramid is the Great Pyramid of Giza. A pyramid is a polyhedron that has a base and 3 or greater triangular faces that meet at a point above the base.

a square pyramid has a base = 8 inches on each side

the height of the pyramid = 11.5 inches

in square pyramids all sides are equal so, length and width are equal

length(l) = 8 inches

width (w)= 8 inches

height(h) = 11.5 inches

volume = lwh/3

volume = (8)(8)(11.5)/3

volume = 245.33

volume of the square pyramid = 245.33

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The light fixtures will make approximately 0.914 swings per second during a minor earthquake in San Francisco.

To determine the frequency of the swings per second for the light fixtures, we need to use the formula for the period of a pendulum, which is T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.

In this case, the length of the pendulum is given as 1.50 m, and the mass of the bulb is given as 2.35 kg. We can assume that the shade and cord add negligible mass to the system. The acceleration due to gravity is approximately 9.8 m/s^2.

Plugging in the values, we get:

T = 2π√(1.50/9.8)

T ≈ 1.093 seconds

The frequency of the swings per second is the reciprocal of the period, so:

f = 1/T

f ≈ 0.914 Hz

It's important to note that this is an approximation, and the actual frequency may vary depending on factors such as the amplitude of the oscillations and the specific characteristics of the earthquake.

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Of the variables mentioned (age of the mother, marital status of the mother, weight of the baby, and sex of the baby), the sex of the baby is categorical, while the others are continuous or ordinal variables.

1. Age of the mother: This variable is a continuous variable as it represents a numerical value that can take any real number. It could be measured in years, such as 25 years old, 30 years old, etc.

2. Marital status of the mother: This variable is a categorical variable as it represents different categories or groups that the mother can belong to, such as single, married, divorced, etc. It is not a numerical value but rather a qualitative characteristic.

3. Weight of the baby: This variable is a continuous variable, typically measured in grams or pounds. It can take any real number within a certain range. For example, a baby's weight could be 2.5 kg, 3.2 kg, etc.

4. Sex of the baby: This variable is a categorical variable as it represents distinct categories or groups that the baby can belong to, such as male or female. It is not a numerical value but rather a qualitative characteristic.

So, in summary:

- Age of the mother: Continuous variable

- Marital status of the mother: Categorical variable

- Weight of the baby: Continuous variable

- Sex of the baby: Categorical variable

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Answer:

step 3

Step-by-step explanation:

when you multiply an even amount of negative numbers you will always get a positive result thus the answe would be 16.6 + 4.15 as in positive numbers

Answer:

Step-by-step explanation:

x = -2

F(x)=1.5(2)^x=0.375 , G(x)=-3(1/4)^x=-48

x=0

F(x)=1.5(2)^x=3, G(x)=-3(1/4)^x=-3

x=1/2

F(x)=1.5(2)^x=1.06 , G(x)=-3(1/4)^x=-6

To determine whether the series \(n^3 + 4n^2 + 1\) converges or diverges, we can compare it with a p-series, which is a series of the form \(\sum \frac{1}{n^p}\).

In this case, the given series can be compared with the p-series \(\sum \frac{1}{n^3}\).

By comparing the terms of the given series with the terms of the p-series, we can see that the exponent of \(n\) in the given series is greater than the exponent in the p-series.

Since the given series has a higher exponent, it will converge more quickly than the p-series. Therefore, the given series \(\sum (n^3 + 4n^2 + 1)\) converges.

Please note that the comparison test is used to determine convergence or divergence by comparing a given series with a known series.

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The number of visitors that we must sample to construct a 95% confidence interval is (b) 1,030 visitors.

In order to construct the 95% confidence interval with a margin of error of  ±3%, we need to find the sample size that will give us a margin of error of 0.03 or less.

The formula used to find desired sample-size is :

⇒ n = (Z² × p × (1-p)) / (E²)

Where, n = required sample size

Z = Z-score for required level of confidence (1.96 for 95% confidence)

p = proportion of visitors who favor proposal;

E = margin of error = (0.03);

We don't know the value of p, So, we use the sample proportion as an estimate:

⇒ p' = 89/150 = 0.5933;

Substituting the values,

we get,

⇒ n = (1.96² × 0.5933 × (1-0.5933)) / (0.03²)
⇒ 1029.67 ≈ 1030.

Therefore, the number of visitors to sample is (b) 1,030 visitors.

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Answer:

227.70 divided by 25.30

Step-by-step explanation:

if she spent 227.70 when 25.30 was how much the fabric costed, you will need to divide to find out how much fabric she got.

Answer:

Step-by-step explanation:

Well, if it is C or D, let’s think about it.

Would you want to include a quotation to present another person’s viewpoint? Probably.

Would you want to include a quotation to analyze specific data? Yes, you would.

This all comes down to what essay you are writing, whether it is an analytical or argumentative essay. If it is an argumentative writing, then it’d probably be C) to present another’s viewpoint. If it is an analytical writing, then D) to analyze specific data would make sense.

Answer:

c=85

Step-by-step explanation:

180-62=118

118-33=85

thus c=85

Answer:  k \(\leq\) -11

Step-by-step explanation:

8 + k \(\leq\)  -3  Subtract 8 from both sides

-8            -8

   k \(\leq\) -11

The solution to the given inequality 8 + k ≤ -3 is k ≤ -11 which represents all values of k that are less than or equal to -11.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The given inequality is given in the question:

8 + k ≤ -3

To solve the inequality 8 + k ≤ -3, you can start by subtracting 8 from both sides to isolate the variable:

k ≤ -3 - 8

k ≤ -11

The solution to this inequality is all values of k that are less than or equal to -11. This includes all negative numbers less than or equal to -11, as well as -11 itself.

Therefore, the solution to the given inequality is k ≤ -11.

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Answer:

y=3 when slope=0

y intercept (0,2)

Step-by-step explanation:

y=3 when slope=0

y intercept (0,2)

slope 5/2

Answer:

random sampling

Step-by-step explanation:

Answer:

A.

Step-by-step explanation: Cluster sampling

Answer:

a = 884.19

b = 1004.19

c= - 559.15

d =- 634.16

Step-by-step explanation:

The solution of expression is,

⇒ 2 (x - 3) / (x + 1)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ (x² - 6x + 9) / (2x³ + 5x) ÷ (x² - 2x - 3) / (4x² + 10)

Now, We can simplify the expression as;

⇒ (x² - 6x + 9) / (2x³ + 5x) ÷ (x² - 2x - 3) / (4x² + 10)

⇒ (x² - 6x + 9) / (2x³ + 5x) × (4x² + 10) / (x² - 2x - 3)\

⇒  (x² - 6x + 9) × 2 (2x² + 5) / x (2x²+ 5) (x² - 2x - 3)

⇒  2 (x² - 6x + 9) / (x² - (3 - 1)x - 3)

⇒ 2 (x² - (3 + 3)x + 9) / (x² - 3x + 1x - 3)

⇒ 2 (x² - 3x - 3x + 9) / (x (x - 3) + 1(x - 3)

⇒ 2 (x (x - 3) - 3 (x - 3) ) / (x - 3) (x + 1)

⇒ 2 (x - 3)² / (x - 3) (x + 1)

⇒ 2 (x - 3) / (x + 1)

Thus, The solution of expression is,

⇒ 2 (x - 3) / (x + 1)

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The theoretical capacity of the roller coaster system  in number of passengers per hour at Treasure Island Amusement Park is 170 passengers per hour, based on 17 cars that carry two passengers each, with a run time of 5.5 minutes and load/unload time of 6.5 minutes.

The theoretical capacity of the roller coaster system in number of passengers per hour can be calculated as follows:

There are 17 cars, and each car can carry up to two passengers. So, the total number of passengers per run is 17 x 2 = 34.

Each run takes 5.5 minutes, and the time to unload and load riders is 6.5 minutes, for a total cycle time of 5.5 + 6.5 = 12 minutes.

To calculate the theoretical capacity in passengers per hour, we need to convert the cycle time to hours and then divide by the cycle time. There are 60 minutes in an hour, so the cycle time in hours is 12 / 60 = 0.2 hours.

The theoretical capacity in passengers per hour is then calculated as:

Capacity = (Number of passengers per run) x (Number of runs per hour)

To find the number of runs per hour, we need to divide the total available time per hour (60 minutes) by the cycle time:

Number of runs per hour = 60 / 12 = 5 runs per hour

Now we can calculate the theoretical capacity as:

Capacity = 34 x 5 = 170 passengers per hour

Rounding this down to the nearest whole number, we get the final answer:

The theoretical capacity of the roller coaster system in number of passengers per hour is 170.

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