Please help need the answer fast

Answer:

The equation which will give the value of x when solved is C. x + 20 = 120

x=100

Step-by-step explanation:

Total distance=120 miles

Distance covered=x miles

Distance remaining=20 miles

The equation is

Total distance=Distance covered + distance remaining

120 miles= x miles + 20 miles

120 miles - 20 miles = x miles

100 miles =x miles

Check:

Total distance=Distance covered + distance remaining

120 miles = 100 miles + 20 miles

120 miles =120 miles

The equation which will give the value of x when solved is C. x+20=120

To find the indefinite integral of |x|(9x^2 - 81) dx using appropriate substitutions, the specific substitution technique and steps are needed.

To evaluate the given integral, we can use a substitution technique to simplify the expression. The absolute value function, |x|, can be rewritten as a piecewise function, considering the positive and negative cases of x.

For x > 0, the integral becomes ∫x(9\(x^2\) - 81) dx, and for x < 0, it becomes ∫-x(9\(x^2\) - 81) dx.

For x > 0, we can perform the substitution u = 9\(x^2\) - 81, which leads to du = 18x dx. The integral becomes ∫(1/18)u du.

For x < 0, we substitute u = 9\(x^2\) - 81 and du = -18x dx. The integral becomes ∫-(1/18)u du.

By evaluating the integrals in both cases and combining the results, we can find the indefinite integral of the given expression. However, specific steps and calculations are required to obtain the final solution.

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The focal length of the lens is -15 cm. The negative sign indicates that the lens is a diverging lens.

To find the focal length of the lens, we can use the lens formula:

1/f = 1/v - 1/u

where f is the focal length of the lens, v is the image distance, and u is the object distance.

Given:

Object height (h_o) = 1.00 cm

Object distance (u) = 12 cm

Image height (h_i) = 5.00 cm

We can use the magnification formula to relate the object and image heights:

Magnification (m) = h_i / h_o

Given:

m = h_i / h_o = 5.00 cm / 1.00 cm = 5.00

Now, let's substitute the values into the lens formula:

1/f = 1/v - 1/u

Since the image is upright, the image distance (v) will be positive.

1/f = 1/v - 1/u

1/f = 1/v - 1/12

To find the value of v, we can use the magnification formula:

m = v / u

5.00 = v / 12

v = 5.00 * 12

v = 60 cm

Now, substitute the values of v and u into the lens formula:

1/f = 1/60 - 1/12

Simplifying:

1/f = (1 - 5) / 60

1/f = -4/60

1/f = -1/15

Taking the reciprocal of both sides:

f = -15 cm

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For the population model DP/dt = 0.3(1-P/200)(P/50-1)P describes how the population changes over time based on the value of P.

a) The population is in equilibrium at P = 0 and P = 200,

b) increasing for values of P between 50 and 200, and

c) decreasing for values of P between 0 and 50 and values of P greater than 200.

The population model

=> DP/dt = 0.3(1-P/200)(P/50-1)P

is a mathematical expression that describes the change in population size over time.

In this model, P(t) represents the population at time t and the rate of change of the population, DP/dt, is a function of P.

The population is in equilibrium when the rate of change is zero, meaning the population is neither growing nor declining. To find the equilibrium population, we set DP/dt = 0 and solve for P. In this case, we have:

=> 0.3(1-P/200)(P/50-1)P = 0

Solving for P, we find two solutions: P = 0 and P = 200. These represent the minimum and maximum populations, respectively.

The population is increasing when the rate of change is positive, meaning the population is growing.

If DP/dt > 0, then the population is increasing, and if DP/dt < 0, then the population is decreasing.

In this case, we have:

=> DP/dt = 0.3(1-P/200)(P/50-1)P

To simplify, we can write:

=> DP/dt = 0.3(P/50-1)(P/200-1)P

=> (P/50-1)(P/200-1) > 0.

This occurs when 50 < P < 200.

Therefore, the population is increasing for values of P between 50 and 200.

The population is decreasing when the rate of change is negative, meaning the population is declining.

If DP/dt > 0, then the population is increasing, and if DP/dt < 0, then the population is decreasing.

In this case, we have:

DP/dt = 0.3(1-P/200)(P/50-1)P

To simplify, we can write:

DP/dt = 0.3(P/50-1)(P/200-1)P

Since the sign of P is positive, the sign of DP/dt is negative for all values of P where

=> (P/50-1)(P/200-1) < 0.

Therefore, the population is decreasing for values of P between 0 and 50 and values of P greater than 200.

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The solution to the problem 0.000027 / 0.000009 is 3 × 10⁻¹ in scientific notation.

To solve the problem 0.000027 / 0.000009, we can use scientific notation to make the calculations easier.

Step 1: Convert the numbers to scientific notation.

0.000027 can be written as 2.7 × 10⁻⁵ in scientific notation.
0.000009 can be written as 9 × 10⁻⁶ in scientific notation.

Step 2: Divide the numbers in scientific notation.

Dividing in scientific notation involves dividing the coefficients and subtracting the exponents.
2.7 ÷ 9 = 0.3
10⁻⁵ ÷ 10⁻⁶ = 10⁻⁵⁻⁽⁻⁶⁾ = 10⁻⁵⁺⁶ = 10¹ = 10

Step 3: Write the final answer in simplest form.

Combining the coefficient and the exponent, we get 0.3 × 10.
However, in scientific notation, the coefficient should be between 1 and 10.
So, we can simplify the answer to 3 × 10⁻¹.

The solution to the problem 0.000027 / 0.000009 is 3 × 10⁻¹ in scientific notation.

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Answer:

the tables of values is (-2,-2) (-1,-4) (1,4) (2,2)

hope this helps!

Answer:

It’s under because 365 x 68 = 24,820

So the estimate is under the actual product of 365 and 68

Step-by-step explanation:

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We need to find the characteristic polynomial, eigenvalues, and a basis for the eigenspace associated with each eigenvalue for the given matrix A.

To find the characteristic polynomial, we first need to find the determinant of the matrix (A - λI), where I is the identity matrix and λ is the eigenvalue. We have:

|\(\left[\begin{array}{ccc}1-\lambda&0&0\\-25&-2\-\lambda&24\\0&0&-1-\lambda\end{array}\right]\)

Expanding along the first row, we get:(1-λ)[(-2-λ)(-1-λ) - 0] - 0 - 0 = (1-λ)(λ^2 + 3λ + 2) = (1-λ)(λ+1)(λ+2). So the characteristic polynomial is (1-λ)(λ+1)(λ+2). To find the eigenvalues, we set the characteristic polynomial equal to zero and solve for λ. We get λ = 1, λ = -1, and λ = -2. Next, we need to find the eigenvectors for each eigenvalue. We first consider λ = 1. To find the eigenvectors, we need to solve the system of equations (A - λI)x = 0, which in this case is:

\(\left[\begin{array}{ccc}0&0&0\\-25&-3&24\\0&0&0\end{array}\right]\)

Solving this system, we get x1 = 0 and x2 = -8x3. So the eigenvectors associated with λ = 1 are of the form [0, -8t, t], where t is any nonzero real number. A basis for this eigenspace is {[0, -8, 1]T}. Similarly, for λ = -1, we get a basis for the eigenspace as {[0, -4, 1]T}. For λ = -2, we get a basis for the eigenspace as {[0, 0, 1]T}.So the characteristic polynomial is (1-λ)(λ+1)(λ+2), the eigenvalues are λ = 1, λ = -1, and λ = -2, and the corresponding eigenspaces have bases {[0, -8, 1]T}, {[0, -4, 1]T}, and {[0, 0, 1]T}, respectively.

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The 98% confidence interval for the population mean (μ) is approximately (2.711, 3.009).

1: Identify the given data

Sample size (n) = 150 students

Sample mean (x) = 2.86

Population standard deviation (σ) = 0.78

Confidence level = 98%

2: Find the critical z-value (z*) for a 98% confidence level

Using a z-table or calculator, you'll find that the critical z-value for a 98% confidence level is 2.33 (approximately).

3: Calculate the standard error (SE)

SE = σ / √n

SE = 0.78 / √150 ≈ 0.064

4: Calculate the margin of error (ME)

ME = z* × SE

ME = 2.33 × 0.064 ≈ 0.149

5: Construct the confidence interval

Lower limit = x - ME = 2.86 - 0.149 ≈ 2.711

Upper limit = x + ME = 2.86 + 0.149 ≈ 3.009

The 98% confidence interval is approximately (2.711, 3.009).

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The encryption method that combines a random value with the plain text to produce the cipher text is: One-time pad.

The one-time pad encryption technique is a form of symmetric encryption where a random key, known as the one-time pad, is combined with the plain text using a bitwise XOR operation. The one-time pad should be at least as long as the plain text and should never be reused.

In this method, each character of the plain text is combined with a corresponding character from the one-time pad, resulting in the cipher text. The one-time pad acts as a random key stream, making the encryption extremely secure if implemented correctly.

Steganography is a different technique that involves hiding information within other seemingly innocuous data, such as images or audio files, without necessarily encrypting it.

Transposition is a method of encryption where the characters of the plain text are rearranged or shuffled without changing the actual characters themselves.

Elliptic Curve is not an encryption method but rather a mathematical framework used in public-key cryptography systems, such as Elliptic Curve Cryptography (ECC), which provide secure communication channels but do not involve combining random values with the plain text to produce the cipher text.

Therefore, the correct answer is: One-time pad.

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Answer:No solution

Step-by-step explanation:

|x + 4| = -1

The expression |x + 4| is telling us that regardless the value of x, the expression will always be positive, since we are taking the absolute value of whatever result x+4 provides.  We can try x = -1000.  

|-1000 + 4|

|-996|

996

There is no value of x that could possibly result in -1 as a solution to |x + 4|

Answer:

x = 30

Step-by-step explanation:

changing sides, changes + to -, - to +, / to *, / to *

x/2 + 8 = 23

x + 16 = 46

x = 46 - 16

x = 30

OR,

x/2 = 23 - 8

x/2 = 15

x = 15 * 2

x = 30

Answer:

x = 30

Step-by-step explanation:

x/2 + 8 = 23

2(x/2 + 8) = 2(23)      [Multiply both sides by 2]

x + 16 = 46          

x = 30                 [Subtract both sides by 16]

Answer:

6.75L of fuel are needed

Step-by-step explanation:

To solve this question we need to convert the miles to km and the gallons to liters in order to find the km/L that the car is doing:

km -1km = 0.621371miles-

449.6miles * (1km / 0.621371 miles) = 723.56km

L -1L = 0.264172gal-

12.9gal * (1L / 0.264172gal) = 48.83L

km/L:

723.56km / 48.83L= 14.82km/L

The liters the car takes to go 100km are:

100km * (1L / 14.82km) = 6.75L of fuel are needed

Answer:

Any value of x makes the equation true. All real numbers Interval Notation: ( − ∞ , ∞ )

Hope This Helps!!!

Step-by-step explanation:

y varies inversely as x=

y= k/xz

-5= k(-5)/6

k= 6

y=6/xz

y=6/5×-8

y= -3/20

Matrix A + Matrix B

Can be represented as

a11 = -7

a12 = 2

a21 = 5

a22 = - 8

b11 = 0

b12 = 0

b21 = 0

b22 = 0

Matrix A + Matrix B

a11 + b11

-7 + 0 = -7

a12 + b12

2 + 0 = 2

a21 + b21

5 + 0 = 5

a22 + b22

-8 + 0 = -8

The answer is option C

The name for the triangle cartilage anterior to the auditory meatus is called the tragus.

The tragus is a small triangular cartilage that is located anterior to the auditory meatus. It is a small flap of cartilage that projects out from the side of the face and helps to protect the external auditory canal. It is located right above the lobe of the ear, and is covered with a thin layer of skin. It is known to be relatively sensitive, due to its numerous nerve endings. The tragus has a variety of functions, such as helping with hearing, as it helps to focus sound waves into the ear canal. It also helps to block out external noise, which is beneficial for those who are exposed to loud noises on a regular basis. It also helps to keep the ear canal clean, as it acts as a barrier against dirt, water, and other foreign objects. Additionally, it has an aesthetic function, as it is a defining feature of the human ear. Thus, the tragus can be seen as an important part of the structure and function of the human ear.

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The solution to the equation is x = 4/15

It is important to note that algebraic expressions are described as expressions that are made up of variables, constants, factors and coefficients.

From the information given, we have that;

√4 - 3x/√3x = 2

cross multiply the values, we have;

√4 - 3x = 2√3x

Now, find the square root of both sides, we have;

4 - 3x = 4(3x)

expand the bracket, we have;

4-3x = 12x

collect the like terms

12x + 3x = 4

add the values

15x = 4

Make 'x' subject

x = 4/15

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Answer:

the answer to this question is 6:00

The number of patients before 2 hours is 40,000.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics.

As per the given data:

The growth rate of covid patients is given and number of patients at 8:00 am is 44,100.

We have to find out what was the number before 2 hours.

Growth rate (G) = 5% per hour.

Number of patients at 8 : 00 AM = 44,100

Let's assume the number of patients 2 hours before is P.

Patients after two hours:

P(1 + G/100)^2

= P(1 + 5/100)^2

= P(1.05)^2

= 1.1025P

From the given data:

1.1025P = 44,100

P = 40,000

The number of patients before 2 hours is 40,000.

Hence, The number of patients before 2 hours is 40,000.

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Answer:

D. $150 in 4%, $850 in 6%

Step-by-step explanation:

1. The amount available to invest in the accounts, A = $1,000

The amount of average interest rate needed = 5.7 percent = 0.057

The interest paid by one of the accounts, account 1, I₁ = 4 percent = 0.04

The interest paid by the other account, account 2, I₂ = 6 percent = 0.06

Let 'x' represent the amount invested in account 1 that pays 4% and let 'y' represent the amount invested in account 2, that pays 6% we get;

x + y = 1,000...(1)

0.04·x + 0.06·y = 0.057 × 1,000 = 57

∴ 0.04·x + 0.06·y = 57...(2)

Making 'y' the subject of equation (1) and (2), we have;

For equation (1), y = 1,000 - x...(3)

For equation (2), y = 950 - (2/3)·x...(4)

Subtract equation (4) from equation (3) gives;

y - y = 1,000 - x - (950 - (2/3)·x)

0 = 1,000 - 950 - x + (2/3)·x

0 = 50 - (1/3)·x

(1/3)·x = 50

x = 3 × 50 = 150

x = 150

The amount invested in the 4% account, x = $150

From equation (3), we have;

y = 1,000 - x

∴ y = 1,000 - 150 = 850

y = 850

The amount invested in the 6% account, y = $850.

Therefore;

$150 should be invested in the account that pays 4% while $850 should be invested in the account that pays 6%.

Answer:

$150 in 4%, $850 in 6%

Step-by-step explanation:

just took the test!

Option C is the correct equation, as it states that function f(0) is equal to 6 when given the set of ordered pairs {(1,0), (-10,2), (0,6), (3,17), (-2,-1)}.

The function f(x) is given as a set of ordered pairs, and each ordered pair has two values - the first value is the input (x), and the second value is the output (f(x)). To find the value of f(x) for a given input value of x, we need to look for the ordered pair that has the input value as its first value, and then take the second value of that ordered pair as the output value (f(x)).

In this case, we are given the following ordered pairs for the function f(x): {(1,0), (-10,2), (0,6), (3,17), (-2,-1)}. To find the value of f(x) for a given input value of x, we need to look for the ordered pair that has x as its first value. For example, to find f(-10), we need to look for the ordered pair (-10,2), and take 2 as the value of f(-10). Similarly, to find f(2), we don't have an ordered pair with 2 as its first value, so we cannot determine its value.

However, we can find the values of f(0) and f(1) by looking for the ordered pairs (0,6) and (1,0), respectively. Thus, the correct answer is C.

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Complete Question:

The function f(x) is given by the set of ordered pairs. {(1,0), (-10,2), (0,6), (3,17), (-2,-1)}. Which equation is true?

A. F(-10)=1

B. F(2)= -10

C. F(0) = 6

D. F(1) = -10

How much a statistic varies from one sample to another is known as the sampling variability of a statistic.

Testing variability arises due to the reality that exceptional samples of the same size can produce special values of a statistic, although the samples are described from the same populace. the quantum of slice variability depends on the scale of the sample, the variety of the populace, and the unique statistic being calculated.

The end of statistical conclusion is to apply the data attained from a sample to make consequences about the population, while counting for the slice variability of the statistic. ways similar as thesis checking out and tone belief intervals do not forget the sampling variability of a statistic to make redundant accurate consequences about the populace.

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Answer:

A. to use algebraic methods to solve geometric problems

Step-by-step explanation:

Answer:

to use algebraic methods to solve geometric problems

Step-by-step explanation:

The median of the numbers 8.5, 1.2, 7.6, 3.8, 8.1, 9.4, 8.9, 0.7, 2.7  is 7.6.

The median of numbers is the value that's exactly in the middle of a dataset when it is ordered.

Therefore, before we find the middle value of the dataset, we have to arrange the numbers in ascending or descending order.

Hence, let's find the median of 8.5, 1.2, 7.6, 3.8, 8.1, 9.4, 8.9, 0.7, 2.7

Firstly, let arrange the numbers in ascending order.

Hence,

0.7, 1.2, 2.7, 3.8, 7.6, 8.1, 8.5, 8.9, 9.4

Therefore,

median = 7.6

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Answer:

Measure of ladder is 11 m

Step-by-step explanation:

Here, we want to calculate the length of the ladder

From the description in the question, we have a right angled triangle with the length of the ladder forming the hypotenuse, which is the longest side of the triangle

So the height at which the top of the ladder is from the ground is 9 m

Thus mathematically;

we use the sine trigonometric tattoo to get the length of the ladder

sine = length of opposite/length of hypotenuse

sine 58 = 9/h

h = 9/sin 58

h = 10.612 meters

which to the nearest integer is 11 m

The measurement scale used in the given example is an ordinal scale.

An ordinal scale is a type of measurement scale used to categorize or rank objects or events based on their relative size, order, or position. In the given example, the soccer players are classified into three categories - superior, above average, and average based on their athletic ability, which is a relative measure of their ability compared to other players. The categories are not based on any numerical value or fixed criteria, but rather on a subjective assessment of their ability. Therefore, the data is on an ordinal scale.

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GIven:

To Determine: The equivalent of the given expression

Distributing the sign outside as shown below:

Hence, the equivalent expression by distributing the sign outside the given expression is:

8.4n+1

Answer:

6 m/s

Step-by-step explanation:

divide the speed value by 3.6

Answer:

6m / s

Step-by-step explanation:

21600/3600

= 6m/s