On a map, the distance between two cities is 26 cm. If the map scale is 2 cm: 11 mi., what is the actual distance between the two cities?​

Answer: \(3\times \dfrac{P}{3}=P\)

Step-by-step explanation:

Given

The perimeter of one equilateral triangle is P

The lengths of the equilateral triangle are equal

Suppose x is the length of each side

\(\therefore 3\times x=P\\\\\Rightarrow x=\dfrac{P}{3}\)

i.e.

\(\Rightarrow 3\times \dfrac{P}{3}=P\)

Answer:

4:10

simplify = 2:5

The term equivalent to \({3}^{\frac{1}{3}}\) is :

Answer:

c no. 3√3

Step-by-step explanation:

ok*kkkk I will prefer it

Answer:

74/25

2  24/25

Step-by-step explanation:

2.96 = 296⁽⁴/100 = 74/25

74/25 = 2  24/25

74 : 25 = 2 ( + 24)

50

----

24

Answer: the simple interest rate of 4.5%

Step-by-step explanation:

What Is Simple Interest?

Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest. Simple interest relates not just to specific loans. It's also the type of interest that banks pay customers on their savings accounts.

The formula to determine simple interest is an easy one. Just multiply the loan's principal amount by the interest rate by the term.

This type of interest usually applies to automobile or short-term loans, although some mortgages use this calculation method.

What is compound interest?

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest. It is the result of reinvesting interest, adding it to the loaned capital rather than paying it out, or requiring payment from the borrower so that interest in the next period is then earned on the principal sum plus previously accumulated interest. Compound interest is standard in finance and economics.

Compound interest is contrasted with simple interest, where previously accumulated interest is not added to the principal amount of the current period, so there is no compounding. The simple annual interest rate is the interest amount multiplied by the number of periods per year. The simple annual interest rate is also known as the nominal interest rate (not to be confused with the interest rate not adjusted for inflation, which goes by the same name).

Note that where the above is given, the distance from the sun (one of the foci) tot he center of the hyperbola is 280 million kilometers.

Given

(x²/10404) - (y²/78400) =1

First, the sun is at one of the foci of the hyperbola. So to find the distance,

c² = a² + b²

Where

a = 102

b = √(b²+a²)
c = distance from center to foci


so

a² = 102² = 10404

b² = c² - a² = 78400 - 10404 = 67996

c² = a² + b² = 10404 + 67996 = 78400

c = √(78400) = 280


Since the comet's path is modelled in millions,

the distance from the sun (to the center) is 280 million kilometers.

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The time taken to travel upstream will be t = 5/(s - r) and the time taken to travel downstream will be equal to t = 10/(s + r).

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given information in the question,

Speed of boat in still water = s

Distance to travel upstream = 5 km and,

Distance to travel downstream = 10 km

Then, the time taken to travel upstream,

t = d/s

t = 5/(s - r)

And, the time is taken to travel downstream.

t = d/s

t = 10/(s + r)

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Answer:

Divide 5 to both side.

Step-by-step explanation:

Original Equation:

\(5(x-3)=5\)

2nd Equation:

\((x-3)=1\)

Single Steps:

Divide 5 to both side on Original Equation to get 2nd Equation.

Multiplying every score in a sample by 3 will change the value of the standard deviation, making the statement "multiplying every score in a sample by 3 will not change the value of the standard deviation" false.

The standard deviation is a measure of the amount of variation or dispersion in a set of data points. It is calculated as the square root of the variance, which is the average of the squared differences between each data point and the mean.

When every score in a sample is multiplied by 3, it effectively changes the scale of the data. The original values are now three times larger, resulting in a larger spread of values around the mean. As a result, the variance and standard deviation will also be three times larger, since they are based on the squared differences between the data points and the mean.

Therefore, multiplying every score in a sample by 3 will change the value of the standard deviation, making the statement "multiplying every score in a sample by 3 will not change the value of the standard deviation" false.

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Answer:

2

Step-by-step explanation:

this might be the rong answer

Answer:

H

Step-by-step explanation:

I searched it up :)

Answer:

H. {52, 72, 86, 105}

Step-by-step explanation:

Given 4 ordered pairs

The question asks for domain

The domain is the x-value of each ordered pair, and usually it is listed from least to greatest (increasing order)

Take out all of the x-values of the ordered pair 52,72,86,105

Notice that above is already in increasing order, so no further action is needed.

The domain for the situation is {52, 72, 86, 105}

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

3

(1.1) A matrix equation b = [√11+e, 0, √2, √2]²T 2) a)  Gaussian elimination without pivoting does not provide unique solution. b) Gaussian elimination with scaled partial pivoting cannot provide a unique solution.(c) Basic LU decomposition is x = [0.788, -3.12, 0.167, 4.55]²T.

The given linear system can be written in matrix form as:

A × x = b

where A is the coefficient matrix, x is the column vector of variables (x1, x2, x3, x4), and b is the column vector on the right-hand side.

The coefficient matrix A is:

A = [[0, -e, √2, -√3],

[π², e, -e², 3/7],

[√5, -√6, 1, -√2],

[π³, e², -√7, -1/9]]

The variable vector x is:

x = [x1, x2, x3, x4]²T

The right-hand side vector b is:

b = [√11+e, 0, √2, √2]²T

(1.2) Solving the system using:

(a) Gaussian elimination without pivoting:

To solve the system using Gaussian elimination without pivoting, we perform row operations on the augmented matrix [A | b] until it is in row-echelon form. Then back-substitute to find the values of x.

The augmented matrix [A | b] is:

[0, -e, √2, -√3 | √11+e]

[π², e, -e², 3/7 | 0]

[√5, -√6, 1, -√2 | √2]

[π³, e², -√7, -1/9 | √2]

Performing row operations, the row-echelon form:

[π², e, -e², 3/7 | 0]

[0, -e, √2, -√3 | √11+e]

[0, 0, 0, 0 | 0]

[0, 0, 0, 0 | 0]

From the row-echelon form, that the system is underdetermined, with two free variables. Therefore, Gaussian elimination without pivoting cannot provide a unique solution.

(b) Gaussian elimination with scaled partial pivoting:

To solve the system using Gaussian elimination with scaled partial pivoting, row operations with partial pivoting until the augmented matrix [A | b] is in row-echelon form. Then back-substitute to find the values of x.

The augmented matrix [A | b] is:

[0, -e, √2, -√3 | √11+e]

[π², e, -e², 3/7 | 0]

[√5, -√6, 1, -√2 | √2]

[π³, e², -√7, -1/9 | √2]

Performing row operations with scaled partial pivoting, the row-echelon form:

[π³, e², -√7, -1/9 | √2]

[0, -e, √2, -√3 | √11+e]

[0, 0, -0.03, -1.02 | 0.027]

[0, 0, 0, 0 | 0]

From the row-echelon form that the system is underdetermined, with two free variables. Therefore, Gaussian elimination with scaled partial pivoting cannot provide a unique solution.

(c) Basic LU decomposition:

The system using LU decomposition, factorize the coefficient matrix A into the product of lower triangular matrix L and upper triangular matrix U. Then we solve the equations L × y = b for y using forward substitution, and U × x = y for x using back-substitution.

The coefficient matrix A is:

A = [[0, -e, √2, -√3],

[π², e, -e², 3/7],

[√5, -√6, 1, -√2],

[π³, e², -√7, -1/9]]

Performing LU decomposition,

L = [[1, 0, 0, 0],

[π², 1, 0, 0],

[√5, 0.3128, 1, 0],

[π³, 4.3626, 2.4179, 1]]

U = [[0, -e, √2, -√3],

[0, e + π², -e² + e × π², 3/7 - e × √2],

[0, 0, 0.9693, -0.3651],

[0, 0, 0, -2.2377]]

Solving L × y = b for y using forward substitution:

[1, 0, 0, 0] ×y = √11+e

[π^2, 1, 0, 0] × y = 0

[√5, 0.3128, 1, 0] × y = √2

[π^3, 4.3626, 2.4179, 1] × y = √2

Solving the above equations,

y = [0.788, -3.12, 0.167, 4.55]²T

Now, solving U × x = y for x using back-substitution:

[0, -e, √2, -√3] × x = 0.788

[0, e + π², -e² + e × π², 3/7 - e ×√2]× x = -3.12

[0, 0, 0.9693, -0.3651] ×x = 0.167

[0, 0, 0, -2.2377] ×x = 4.55

Solving the above equations,

x = [0.788, -3.12, 0.167, 4.55]²T

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Answer:

300 minutes

2:00 p.m

Step-by-step explanation:

Given the following:

Time taken to mark a script :

Mrs Kanja = 5mins

Miss Kanene = 4mins

Mrs Nyaga = 12 mins

Number of scripts = 160

Start time = 9:00 a.m

Rate at which each of them mark:

Mrs Kanja = t / 5

Miss Kanene = t/4

Mrs Nyaga = t/12

Combined rate :

t/5 + t/4 + t/12 = 160

(12t + 15t + 5t) / 60 = 160

32t / 60 = 160

32t = 160 * 60

32t = 9600

t = 9600 / 32

t = 300 minutes

300 minutes = 300/60 = 5hrs

9:00 a.m + 5 hours = 2:00 p.m

Answer:

(-8,7)

Step-by-step explanation:

5x+9y=23

-2x+y=23

 Step 1. When looking at the equation you need to find out what method you must use and a good way to find out if you use subtraction is to look for a variable of 1

just like -2x+y=23 has the variable 1y

 Step 2. solve for y in the second equation

-2x+y=23

+2x       +2x

y=2x+23

Step 3. rewrite your equation

5x+9y=23

y=2x+23

 Step 4. replace your y variable with the expression you just made

5x+9(2x+23)=23

Step 5. Distribute the 9 and solve

5x+18x+207=23

23x+207=23

23x=-184

x=-8

Step 6. enter your x value into the equation you solved in step one

y=2(-8)+23

y=-16+23

y=7

Step 7. determine if consistent or inconsistent

Because you have a x and y you have an consistent

...you can also graph it

When salt is added to water, the boiling point of water is increased. The boiling point elevation depends on the concentration of salt added. The addition of salt increases the boiling point of water.

The extent of the increase in boiling point is directly proportional to the amount of salt added. Boiling point is defined as the temperature at which the vapor pressure of a liquid is equal to the pressure exerted on it by the surrounding atmosphere.

In layman's terms, this means that a liquid boils when its vapor pressure equals atmospheric pressure. Boiling point of a liquid can be increased or decreased by the addition of solutes such as salt.When a solute such as salt is added to water, the boiling point of water increases due to the phenomenon of boiling point elevation.

This is because the solute particles in the water interfere with the formation of water vapor molecules at the surface of the liquid. As a result, more energy is required to boil the water, which means that the boiling point is elevated.

The amount of elevation is directly proportional to the concentration of salt added. In short, the addition of salt to water increases the boiling point of water.

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The ferryman should transport the goat first, then return alone to bring the wolf, leaving the goat on the right bank. Finally, he should transport the cabbage and leave it with the wolf.

In order to solve this puzzle, the ferryman must make a series of careful moves to ensure the safety of the wolf, goat, and cabbage. The first step is to transport the goat to the right bank, leaving it there. The ferryman then returns to the left bank alone.

He takes the wolf across the river, but before leaving it on the right bank, he brings the goat back to the left bank. Now, the goat and cabbage are on the same side, while the wolf remains on the right bank.

The ferryman transports the cabbage to the right bank, leaving it there, and then returns alone to the left bank. Finally, he takes the goat across the river one last time, completing the puzzle. This sequence of moves ensures that the wolf and goat are never left alone together, nor are the goat and cabbage.

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(a) The confidence level for the interval x ± 2.81σ/√n is 99.0%. (b) The confidence level for the interval x ± 1.47σ/√n is 85.0%. (c) For a confidence level of 99.7%, the value of zα/2 is3.00. (d) For a confidence level of 78%, the value of zα/2 is 1.88.

(a) The confidence level for the interval x ± 2.81σ/n is 99.0%. This can be calculated using a z-table or a calculator.

(b) The confidence level for the interval x ± 1.47σ/n is 85.0%. Again, this can be calculated using a z-table or a calculator.

(c) To find the value of zα/2 that results in a confidence level of 99.7%, we need to find the z-score that cuts off 0.15% in both tails of the normal distribution. This z-score is 3.00 (found using a z-table or a calculator).

(d) To find the value of zα/2 that results in a confidence level of 78%, we need to find the z-score that cuts off 11% in both tails of the normal distribution. This z-score is 1.88 (found using a z-table or a calculator).

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Answer:

26- 8n

Step-by-step explanation:

-10n + 20 + 2n + 6

-10n+2n +6 +20

-8n + 26

Best regards

Answer:

-8n+26

Step-by-step explanation:

Answer:

x>2

Step-by-step explanation:

Answer:

5+1<6x-3x

6<3x

3. 3

x= 2

To calculate the Time Mean Speed (TMS) and Space Mean Speed (SMS) for the given vehicles, we need to compute the total time and total distance traveled.

The total time can be found by summing up the travel times for all vehicles:

Total Time = 40.5 + 44.2 + 41.7 + 47.3 + 46.5 + 41.9 + 43.0 + 47.0 + 42.6 + 43.3 = 437.0 seconds

The total distance traveled is given as 2,000 ft.

Now we can calculate the Time Mean Speed (TMS) and Space Mean Speed (SMS):

TMS = Total Distance / Total Time

    = 2000 ft / 437.0 seconds

    ≈ 4.575 ft/s

SMS = Total Distance / Total Time

    = 2000 ft / 437.0 seconds

    ≈ 4.575 ft/s

Therefore, both the Time Mean Speed (TMS) and Space Mean Speed (SMS) for these vehicles are approximately 4.575 ft/s.

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Using implicit differentiation dz/dt = -34

Differentiation is the process of finding the derivative of a function.

Since x² + y² + z² = 9, dx/dt = 7, and dy/dt = 6, we desire to find dz/dt when (x, y, z) = (2, 2, 1).

Thus, we now differentiate implicitly and also we apply the chain rule, thus we have

x² + y² + z² = 9

d(x² + y² + z²)/dt = d9/dt

dx²/dx × dx/dt  + dy²/dy × dy/dt + dz²/dz × dz/dt = d9/dt

2xdx/dt  + 2ydy/dt + 2zdz/dt = 0

xdx/dt  + ydy/dt + zdz/dt = 0

we now make dz/dt subject of the formula, thus, we have

zdz/dt = -(xdx/dt  + ydy/dt)

dz/dt =  -(xdx/dt  + ydy/dt)/z

Given that

Substituting the values of the variables into the equation, we have that

dz/dt =  -(xdx/dt  + ydy/dt)/z

dz/dt =  -(2 × 7  + 2 × 6)/1

= -(12 + 14)/1

= - 26

So, dz/dt = -26

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The question is incomplete. Here is the complete question

If  x² + y² + z²  = 9, dx/dt = 7, and dy/dt = 6, find dz/dt when (x, y, z) = (2, 2, 1).

The specific interval(s) on which a vector-valued function r(t) is continuous cannot be determined without the specific function.

To determine the interval(s) on which the vector-valued function r(t) is continuous, we need to have a specific function r(t) to work with. Without the specific function, it is not possible to determine the interval(s) on which it is continuous.

In general, a vector-valued function r(t) is continuous on an interval [a, b] if and only if its component functions are continuous on [a, b]. Therefore, we need to find the interval(s) on which each component function of r(t) is continuous.

Once we have determined the interval(s) on which each component function is continuous, we can find the intersection of those intervals to get the interval(s) on which the vector-valued function r(t) is continuous.

In summary, the specific interval(s) on which a vector-valued function r(t) is continuous cannot be determined without the specific function. We need to check the continuity of each component function and take their intersection to determine the interval(s) on which r(t) is continuous.

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Answer: 30.0 feet

Step-by-step explanation:

Answer:

30.0 ft

Step-by-step explanation:

Answer:

1: x= -3/4 +y/2 - 3z/4

2: y = - 1/3 +2x/3 + 2z/3

3: z= -1/5 - 3x/5

Answer:

B

Step-by-step explanation:

2 ÷ 0.4 = 5

----------------

Non of the above Statement is true.

Standard deviation is a mathematical measure of how spread out a dataset is. It is a measure of the variation or dispersion of a set of values from the mean. It is calculated by taking the square root of the variance. Standard deviation can be used to measure the risk associated with an investment, to compare data sets, or to measure the accuracy of a data set.

The standard deviation is a measure of the dispersion of a set of data from its mean, and it is always a non-negative number. It can sometimes be zero, and it can also be larger than the variance.

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