12. the ratio of the measures of the sides of a quadrilateral is 2:3:5:7. if the perimeter is 68, find the length of each side

\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)

The Correct choice is : C

\(\qquad \sf  \dashrightarrow \: it \: \: is \: \: on \: \: the \: x - axis\)

As we can observe, the y - coordinate ( ordinate ) of the given point (2 , 0) is 0. so it's obvious that it's distance from x - axis is Zero. In other words we can say that the point is lying on x - axis.

Answer:

answer is C

it's on the x-axis

Step-by-step explanation:

hope t     his helps!

The general solution of the given differential equation dy/dt = -ty + 3, where lower case c represents a constant, is y = (3 ± C\(e^{(-t)}\))/t

To find the general solution of the given differential equation dy/dt = -ty + 3, we can use the method of separation of variables.

Let's start by separating the variables:

dy/(-ty + 3) = dt

Now, let's integrate both sides with respect to their respective variables:

∫(1/(-ty + 3)) dy = ∫dt

To integrate the left side, we can use a substitution. Let u = -ty + 3, then du = -tdy, and the integral becomes:

-∫(1/u) du = ∫dt

-ln|u| = t + C1

-ln|(-ty + 3)| = t + C1

To remove the absolute value, we can rewrite the equation as:

-ty + 3 = ±\(e^{(-t - C1)}\)

Now, let's solve for y:

y = (3 ± \(e^{(-t - C1)}\))/t

We can simplify the expression further by combining the constants:

y = (3 ± C\(e^{(-t)}\))/t

Where C = ±\(e^{(-C1)}\) is the constant of integration. Therefore, the general solution of the given differential equation is:

y = (3 ± C\(e^{(-t)}\))/t

Here, the lower case c is represented by the constant C.

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Therefore, the value of n that makes the system of equations true is n = 10.

Given:

p = 2n

p - 5 = 1.5n

Substituting the value of p from the first equation into the second equation, we have:

2n - 5 = 1.5n

Next, we can solve for n by subtracting 1.5n from both sides of the equation:

2n - 1.5n - 5 = 0.5n - 5

Simplifying further:

0.5n - 5 = 0

Adding 5 to both sides of the equation:

0.5n = 5

Dividing both sides by 0.5:

n = 10

Therefore, the value of n that makes the system of equations true is n = 10.

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The effective annual interest rate offered on a loan is C. It is the interest rate that would earn the same interest with annual compounding.

The rate of interest that an investor can earn (or pay) in a year after taking into account compounding is known as the effective annual interest rate, to put it simply.

An essential instrument for assessing the real return on an investment or the real interest rate on a loan is the effective annual interest rate.

Essentially, the effective yearly interest rate that is provided on a loan is the rate at which the same amount of interest would be earned with annual compounding.

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Options for this question include:

Answer:

25/2 or 12 1/2

Step-by-step explanation:

Answer:

Slope = -1

Step-by-step explanation:

Since, slope of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by,

Slope = \(\frac{y_2-y_1}{x_2-x_1}\)

Therefore, slope of a line passing through two points A(1, 4) and B(3, 2) will be,

Slope = \(\frac{4-2}{1-3}\)

          = (-1)

Therefore, slope of the line is (-1).

Answer:

24

Step-by-step explanation:

Ok, so we see that we have 6 as a leg of the right triangle and 10 as the hypotenuse.  As we look closer, we can tell that this makes the Pythagorean triple 6, 8, 10.  6, 8, 10 is just the Pythagorean triple 3, 4, 5 but it is multiplied by 2.  So now that we know both the legs of this right triangle, we can use the area of a triangle formula (bh)/2.  6*8=48 and 48/2 = 24 which gives us our answer.

The real interest rate paid at the end of three years can be calculated by subtracting the average inflation rate from the nominal interest rate. In this case, with a nominal interest rate of 9% and an average expected inflation rate of 2%, the real interest rate would be 7%.

The real interest rate is the nominal interest rate adjusted for inflation, representing the true return on an investment. To calculate the real interest rate, we subtract the average inflation rate from the nominal interest rate. In this scenario, the nominal interest rate is 9% and the average expected inflation rate is 2%.

By subtracting 2% from 9%, we find that the real interest rate paid at the end of the three years is 7%. This means that after accounting for inflation, the investor can expect a real return of 7% on their investment over the three-year period.

Considering inflation is essential because it erodes the purchasing power of money over time. By accounting for inflation, the real interest rate provides a more accurate measure of the return on investment. In this case, the real interest rate of 7% indicates that the investor is effectively earning a 7% return above and beyond the rate of inflation, providing a positive real return.

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Answer:

6·¹₂            6¹/₂

Step-by-step explanation:

by dividing 13 by 2, we get the quotient 6, remainder 1 and divisor as 2.

as we know, to write a mixed fraction, we follow Q^R/D, so we get 6¹/₂.

The graph is shown in the image attached.

To solve an equation by graphing, you need to graph the equation on a coordinate plane and find the points where the graph intersects the x-axis. These points correspond to the solutions of the equation, which are the values of x that make the equation true here.

Therefore, to solve the equation by graphing, we plot the graph, locate the points where the graph intersects the x-axis, and read the solutions from the graph.

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Answer:She can make 16 pitchers of lemonade

Step-by-step explanation:

1. Divide the amount of ounces needed for one pitcher of lemonade by the amount of ounces she has to get 16 pitchers of lemonade.

Answer:

let Amount of fish =X

Amount is three less than twice the amount

2X - 3

Kendall caught fish = 27

Equation is

2X - 3 =27

Step-by-step explanation:

The net change in velocity is -0.665s.

We have,

Initial time = 0.75 seconds.

Final time = 2.25 seconds.

Accelerations, A(t) = sin (t²/3)

Now, acceleration is the rate of change of velocity then

V(t) = d/dt a(t)

V(t) = d/dt (sin (t²/3))

V(t) = 2t/3 cos (t²/3)

Now, Substituting the time interval

V(t) = 2 x 2.25/ 3 sin (5.0625)/3 - 2 x 0.75/3 sin (0.5625/3)

V(t) = -0.665

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Answer:

46°

Step-by-step explanation:

from large triangle:

let the third unknown angle be 'a'

then,

a+x+7+85=180

a=88-x

now,from small triangle,

let the third unknown angle be 'b'

then,

b+x+2x=180

b=180-3x

b=a (vertically opposite angles)

then,

180-3x=88-x

2x=92

x=46

The statement "The price of homes of a sample of 38 employees at the local news network" describes a sample.

In statistics, a population refers to the entire group of individuals or objects of interest, while a sample is a subset of the population that is selected to represent the larger group.

In this case, the statement specifies that the data is collected from a sample of 38 employees at the local news network. This means that the information about the prices of homes is gathered only from a subset of the entire population of employees at the news network, rather than from all employees. Therefore, it represents a sample.

Sampling is a common technique used in statistics to gather information about a population when it is not feasible or practical to collect data from every single member of the population. By selecting a representative sample, statisticians can make inferences and draw conclusions about the larger population.

It's important to note that the quality and representativeness of a sample are crucial for making accurate generalizations about the population. Various sampling methods, such as random sampling or stratified sampling, can be employed to ensure that the sample is representative and unbiased.

In summary, the statement describes a sample because it pertains to a subset of 38 employees at the local news network and does not encompass the entire population of employees.

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Answer:

B or C or A or E or D i dont know

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

The result of the multiplication must end in 0 so A, D nor E are the answer.

Consider B:

34 * 45

Neither of the numbers are divisible by 7 so it's not this one.

It's C because:

56 is divisible by 1, 2,4,7,8 and

45 is divisible by 3, 5, 9

The factors contain 2 and 3 so its also divisible by 2*3 = 6.

The product ends in 0 so its also divisible by 10.

The correct statement for the given relation being a function is -

B: No, because for each output there is not exactly one input.

What is a relation?

In mathematics, a relation describes the connection between two distinct collections of data. If more than two non-empty sets are taken into consideration, the relationship between them will be determined if there is a connection between their components.

To determine if the relation is a function, we need to check if there is exactly one output (y-value) for each input (x-value).

Looking at the mapping diagram, we see that the input value of 1 and -3 has arrows pointing to one output value which is 0.

Similarly, the input value -1 and 3 has arrows pointing to one output value which is 2.

Therefore, there is not exactly one input for the output value of 0 and 2.

Thus, the relation is not a function because for at least one output there is not exactly one input.

Therefore, this relation cannot be considered a function.

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Answer:

we need options, it would help us out as much as you

Step-by-step explanation:

The probability of exactly 8 green peas is 0.475, rounded to three decimal places, i.e., 0.475.

We can use the binomial probability formula to solve this problem.

The formula is given as; $$P(X=k)={n\choose k}p^k(1-p)^{n-k}$$

Where;
n= sample size=12
k= number of green peas=8
p= probability of getting a green pea=3/4
q= probability of getting a yellow pea=1/4
Since we want the probability of exactly 8 green peas out of 12 peas,

we will plug in the values in the formula to get;

$$P(X=8)={12\choose 8}(\frac{3}{4})^8 (1-\frac{3}{4})^{12-8}$$$$

P(X=8)={12\choose 8}(\frac{3}{4})^8(\frac{1}{4})^{4}$$$$P(X=8)=495

(0.3164)(0.0039)$$$$P(X=8)=0.4749$$

Therefore, the probability of exactly 8 green peas is 0.475, rounded to three decimal places, i.e., 0.475.

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one and one third + one and three fourths equals three and one twelfth (3 1/12).

To add these two mixed numbers, we need to convert them to improper fractions:

1 and 1/3 = 4/3

1 and 3/4 = 7/4

Now we can add the two fractions:

4/3 + 7/4

To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple of 3 and 4 is 12:

4/3 + 7/4 = (16/12) + (21/12)

= 37/12

Now we can convert the improper fraction back to a mixed number:

37/12 = 3 and 1/12

what is number?

In mathematics, a number is a quantity that represents a magnitude or size of a particular quantity or measurement. Numbers can be classified into different categories such as whole numbers, integers, rational numbers, irrational numbers, real numbers, and complex numbers.

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To determine the probability that we have at least one customer buying two or more books before having two customers buy no books, we would need to know more information about the specific scenario, such as the number of customers, the probability of a customer buying two or more books, and the probability of a customer buying no books.

Without this information, it is not possible to calculate the probability of the scenario described.

The mathematical study of random events is known as probability, and there are four primary forms of probability: axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you might argue that it is the likelihood that a specific event will occur.

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For a sample of room temperature during winter, an upper bound of the probability that the temperature in your room deviates from the mean by at least 4 degrees is equals to the 0.25.

For a sample of temperature during winter, Average temperature of room

= 70 degree

Standard deviations = 2 degrees

We have to determine upper bound of the probability that the temperature in your room deviates from the mean by at least 4 degrees. According to chebyehev's theorem, \(P( | X - μ |≥ k σ ) ≤ \frac{ 1 }{k²} \).

here , σ = 2 , μ = 70, kσ = 4

=> k = 2

So, the required upper bound of probability is \(P( | X - μ |≥ k σ ) ≤ \frac{ 1 }{k²} \)

≤ \(\frac{ 1 }{2²} \)

≤ \(\frac{ 1 }{4} \)

= 0.25

Hence, required upper bound value is 0.25.

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Answer:

10x+30x

Step-by-step Explanation:

The transfer function of the system is:

G(s) = X(s)/U(s) = 1/(s+2)

To find the transfer function G(s) = X(s)/U(s) of the system described by the differential equation x(t) + 2x(t) - u(t), we can take the Laplace transform of both sides of the equation, assuming zero initial conditions:

L{x(t) + 2x(t) - u(t)} = L{0}

Applying the linearity property of the Laplace transform, we get:

L{x(t)} + 2L{x(t)} - L{u(t)} = 0

Substituting X(s) for L{x(t)} and U(s) for L{u(t)}, we get:

X(s) + 2X(s) - U(s) = 0

Solving for X(s)/U(s), we get:

X(s)/U(s) = 1/(s+2)

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Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

From the given information provided, the approximate volume of the cone is 94.24777 cubic inches.

The volume of a cone can be calculated using the formula V = (1/3) × π × r² × h, where "r" is the radius of the base of the cone, "h" is the height of the cone, and "π" is the mathematical constant approximately equal to 3.14159.

Radius r= 3 inches

Height h= 10 inches

π = 3.14159

Using the formula for the volume of a cone, V = (1/3) × π × r² × h, we can substitute the given values to calculate the volume of the cone:

V = (1/3) × 3.14159 × 3² × 10

V ≈ 94.24777 cubic inches

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Answer:

Step-by-step explanation:

Givens

Number not using given app = 71

Total number of students  = 219

% = ?

Solution

P(~given app) = 71 / 219

P(~given app)  = 0.324

% = 0.324 * 100  = 32.4%

Answer

32.4% do not use Given App

Answer:

\(3(2a + 3b) \)

Step-by-step explanation:

3×2a+3×3b

Therefore, The probability that the customer likes neither hot nor iced coffee is 0. This can be calculated by subtracting the probability of the customer liking hot coffee or iced coffee from 1.

The probability that the customer likes neither hot nor iced coffee can be calculated by subtracting the probability of the customer liking hot coffee or iced coffee from 1. Let A be the event that the customer likes neither hot nor iced coffee. Then, P(A) = 1 - P(H) - P(I). If P(H) = 0.6 and P(I) = 0.4, then P(A) = 1 - 0.6 - 0.4 = 0. Therefore, the probability that the customer likes neither hot nor iced coffee is 0.
To find the probability of an event, we need to divide the number of favorable outcomes by the total number of possible outcomes. Here, the customer can either like hot coffee, iced coffee, or neither. Since the customer can only like one of the two options, we can use the complement rule to find the probability of the customer not liking either. We subtract the sum of probabilities of the customer liking hot and iced coffee from 1.
Therefore, The probability that the customer likes neither hot nor iced coffee is 0. This can be calculated by subtracting the probability of the customer liking hot coffee or iced coffee from 1.

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