NOP has side lengths 5cm, 7cm and 9cm. If NOP is similar to RST, which of the following could be lengths of the sides of RST?

The value of the expression is 1.766.

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. By eliminating all common factors from the numerator and denominator and putting the fraction in its simplest/lowest form, we can simplify fractions.

Given the expression,

2\(e^{3x}\) = 400

divide by 2 into both sides

\(e^{3x}\) =  400/2

\(e^{3x}\) = 200

converting the expression in form of a log,

ln(\(e^{3x}\))= ln(200)

log(aⁿ) = n log(a)

3x ln(e) = ln(200)  [ln(e) = 1 and ln(200) = 5.2931]

3x = 5.2931

x = 1.766

Hence Option B is correct.

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Answer:

Step-by-step explanation:

23

Answer:

1/36

Step-by-step explanation:

probability of getting a 5 is 1/6

probability of getting a 4 is 1/6

multiply the two probabilities to get 1/36

Answer:

Step-by-step explanation:

A genuine number x will be called a arrangement in case it fulfills the condition meaning It is simple to see that the roots are precisely the x-intercepts of the quadratic work, that's the crossing point between the chart of the quadratic work with the x-axis

Answer:

$815.63

Step-by-step explanation:

Commission=10875(.075)

                    =815.625

a. The  slope of the curve at the point (4,16)   is approximately 1.165, and at the point (16,4)  is approximately -0.496.

b. The   curve has a horizontal tangent line at the points(0,0) and (3,27).

c. The   curve has a vertical tangent lineat the points (0,0) and (65/2, (65/2)³).

a. To find the   slope of the curve given by the equation x³ + y³ - 65xy = 0 at the points (4,16) and (16,4),we can differentiate the equation implicitly with respect to x and solve for dy/dx.

Differentiating the equation with respect to x, we have  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

To find the slope at a specific point, substitute the x and y coordinates into the equation and solve for dy/dx.

For the point (4,16)  -

3(4)² + 3(16)²(dy/dx) - 65(16) - 65(4)(dy/dx) = 0

48 + 768(dy/dx) - 1040 - 260(dy/dx) = 0

508(dy/dx) = 592

(dy/dx) = 592/508

(dy/dx) ≈ 1.165

For the point (16,4)  -

3(16)² + 3(4)²(dy/dx) - 65(4) - 65(16)(dy/dx) = 0

768 + 48(dy/dx) - 260 - 1040(dy/dx) = 0

(-992)(dy/dx) = 492

(dy/dx) = 492/(-992)

(dy/dx) ≈ -0.496

Thus, the slope of the   curve at the point (4,16) isapproximately 1.165, and at the point (16,4) is approximately -0.496.

b. To find the point where the curve has   a horizontal tangent line, we need to find the x-coordinate(s)where dy/dx equals zero.

This means   the slope is zero and the tangent line is horizontal.

From the derivative we obtained earlier  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

Setting dy/dx equal to zero  -

3x² - 65y = 0

Substituting y = x³/65 into the equation  -

3x² - 65(x³/65) = 0

3x² - x³ = 0

Factoring out an x²  -

x²(3 - x) = 0

This equation has two solutions  -  x = 0 and x = 3.

hence, the curve has a horizontal   tangent line at the points(0,0) and (3,27).

c. To find the point where the curve has a vertical tangent line, we need to find the x-coordinate(s)   where the derivative is undefinedor approaches infinity.

From the derivative  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

To find the vertical tangent line, dy/dx should be undefined or infinite. This occurs when the denominator of dy/dx is zero.

Setting the denominator equal to zero:  -

65x = 65y

x = y

Substituting this condition back into the original equation  -

x³ + x³ - 65x² = 0

2x³ - 65x² = 0

x²(2x - 65) = 0

This equation has two solutions  - x = 0 and x = 65/2.

Therefore, the curve has a vertical tangent line   at the points (0,0)

and(65/2, (65/2)³).

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For the given monthly salaries of the 7 employees of the firm , then the true statement is : (a) mean = median .

In statistics the Mean is defined as sum of a collection of numbers divided by count of numbers .

the given monthly salaries is 9, 7, 8, 7, 10, 11 and 11.  

arranging the data in ascending order ,

we get ; 7 , 7 , 8 , 9 , 10 , 11 , 11 .

the sum of the salaries is = 63 ;

So , the mean is  = 63/7 = 9 .

median is the middle term of the given data that is = 9 ;

the mode is the most times occurred frequency that is 7 and 11 .

On comparing the mean , mode and median ,

we get ; mean = median .

Therefore , the correct statement is (a) mean = median .

The given question is incomplete , the complete question is

The monthly salaries (in thousands of dollars) for a sample of 7 employees of a firm are: 9, 7, 8, 7, 10, 11 and 11.

Which of the following statements is true about the mean, median and mode ?

(a) mean = median

(b) mode < median < mean

(c) mode < mean < median

(d) mode = median = mode .

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Step-by-step explanation:

college level question ???? what the ...

oh my.

16 : 20 = 16 / 20 = 16 ÷ 20

16/20 = 4/5 = 0.8

Answer:

y= -6x -1

Step-by-step explanation:

Answer: d.12

Step-by-step explanation:

The patient consumed 935 milliliters of fluids in 24 hours.

Restrictions of fluid per day = 1000 milliliters

Consumption of fluid by patient in past 24 hours are :

    Milk = 3 ounces

IV fluid = 725 Milliliters

  Juice = 4 ounces

As we know that,

One fluid ounce = 30 milliliters

Then,     Milk = 3 × 30  = 90 milliliters

               Juice = 4 × 30 = 120 milliliters

To determine the total amount of fluids we will add the total amount of Milk, IV fluids and Juice.

Fluids consume by patient = 90 + 725 + 120

                                          = 935 milliliters

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Answer:

1.167

Step-by-step explanation:

4/5 + 2/3 + 7/10

LCM 5 * 3 * 2 = 30

24/30 + 20/30 + 21/30

65/30 = 1 5/30 = 1 1/6 = 1.167

Answer:

1 : 8

Step-by-step explanation:

Answer:

$8 per hour

Step-by-step explanation:

First you have to do 16/2 or 32/4 to get your answer which is 8

Hope this helps!

Step-by-step explanation:

The expression you provided involves taking the square root of a negative number, which results in an imaginary number. In standard real number arithmetic, the square root of a negative number is undefined. However, in the realm of complex numbers, we can define a square root of negative numbers using the imaginary unit "i," where i is defined as the square root of -1.

Let's break down the expression step by step:

√(-25) / √9

The square root of -25 can be written as √(-1 * 25), which can further be simplified as √(-1) * √25.

√(-1) is equal to "i," and the square root of 25 is 5.

So, the expression becomes:

i * 5 / √9

The square root of 9 is 3.

Now, we can simplify further:

i * 5 / 3

Thus, the simplified expression is (5i) / 3, where "i" represents the imaginary unit.

Answer:

Step-by-step explanation:

Let the number of children's tickets sold =c

Let the number of adult's tickets sold =a

Let the number of student's tickets sold =s

A total of 204 tickets were sold, therefore: c+a+s=204

Child tickets are $6, adult tickets are $12, and student tickets are $8.

Total revenue =$2,008

Therefore:

6c+12a+8s-2008

We are also told that 4 more adult tickets were sold than the total number of student and child tickets combined.

c+s=a+4

We then solve the resulting system of equation.

Substituting c+s=a+4 into the first equation

c+a+s=204

a+4+a=204

2a=204-4

2a=200

a=100

Substitute a=100 into the second and third equation

6c+12(100)+8s=2008

6c+8s=2008-1200

6c+8s=808

From the third equation

c+s=100+4

c=104-s

Substitute c=104-s into 6c+8s=808

6(104-s)+8s=808

624-6s+8s=808

2s=808-624

2s=184

s=92

Since c=104-s

c=104-92

c=12

Therefore:

Answer:

1. 1/2

2. 2/5

3. -1

4. 1/2

Step-by-step explanation:

slope is equal to rise/run

you take two points and count how far up and sideways

if it is down make it negative

Answer:

8/73

0.10959

21 players

Step-by-step explanation:

Given that:

Number of teams = 25

Number of players per team = 73

Number of players chosen for drug testing = 8

A) What is the probability that Erik Red is chosen for random drug testing in a specified week of the foosball season?

Number chosen per team / number of players per team

8 / 73 = 0.10959

B) What is the probability that Erik Red is chosen for random drug testing at least 5 times in the first 9 weeks of the foosball season?

P( being chosen at least 5 times)

USing binomial. Distribution

P(X =x) = nCr * p^x * (1-p)^n-x

To save computation time, we can use the binomial distribution calculator :

P(x≥5):p(x = 5) + p(x = 6) + p(x =7) + p(x = 8) +. P(x = 9) = 0.00136

C) What is the expected number of players who are chosen for random drug testing at least 4 times in the first 9 weeks of the foosball season?

Number who are chosen atleast 4 times :

P(x ≥ 4) = p(x = 4) + p(x = 5) + p(x = 6) + p(x = 7) + p(x = 8) +. P(x =9) = 0.0115

P(x ≥ 4) * number of players per team * nunber of teams in league

0.0115 * 73 * 25 = 20.9875

= 21 players

D) Let Y be the number of players who are chosen for random drug testing at least 4 times in the first 9 weeks of the foosball season. What is the maximum possible value of Y, i.e., the largest k such that P(Y=k) > 0?

Answer:

119

Step-by-step explanation:

all angles in a triangle add up to 180

180-61-58=61

so missing inner angle is 61

then to solve 1:

180-61=119

Answer:

The gradient of vector

   ∇g = i⁻(2 x -6 ) +  j⁻ (2y)

The gradient of vector at the point (2 ,6) is

( ∇g)₍₂,₆) =    (-2)  i⁻ +   (12) j⁻

Step-by-step explanation:

Explanation:-

Given  g (x, y) = x² +y² -6x ...(i)

The gradient of vector

     ∇g =( i⁻ δ/δx + j⁻ δ/δy+ k⁻δ/δZ)g

          = ( i⁻ δg/δx + j⁻ δg/δy+ k⁻δg/δZ)  .....(ii)

Differentiating equation (i) partially with respective to 'x' , treated 'y' as constant.

δg/δx = 2x - 6

Differentiating equation (i) partially with respective to 'x' , treated 'y' as constant.

δg/δy = 2y

Step(ii):-

The gradient of vector

   ∇g = i⁻(2 x -6 ) +  j⁻ (2y)

At the point ( 2,6)

( ∇g)₍₂,₆) = i⁻(2 (2) -6 ) +  j⁻ (2(6))

( ∇g)₍₂,₆) =    i⁻(-2) +  j⁻ (12)

Answer:

456,976

Step-by-step explanation:

26•26•26•26=456,976

There are 26 options for each spot in the password and 4 spots, so it's 26^4

Answer:

w = 5

y = 4

Step-by-step explanation:

w+y=9

3w-y=11

4w = 20

w = 5

y = 4

The item most likely to weigh 2 kilograms is a roast chicken.

The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.

The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.

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______________________________

Answer:

s = 2 1/3 + 1/2

t = 2/3 + 3/2

We have to find the sum of both s and t.

2 1/3 + 1/2 = 2 2/6 + 3/6 = 2 5/6

2/3 + 3/2 = 4/6 +  9/6 = 13/6 = 2 1/6

If we look at the number lines, we can see that c matches with both points.

Answer:6.03*10^3

Step-by-step explanation:

(3.1 *10^2)(2*10^3)

2*10^3=20*10^2

(3.1*10^2)(20*10^2)

(60.3*10^2)=

6.03*10^3

Answer:

Step-by-step explanation:

22.57 cm inches are the net weight of the slope

The perimeter of the shape is 10 inches.

It's important to note that the perimeter of a shape or calculated by adding all the sides together.

In this case, this is a rectangle and the perimeter will be:

Perimeter = 2(length + width)

Length = 4 inches

Width = 1 inch

Perimeter = 2(length + width)

Perimeter = 2(4 + 1)

Perimeter = 10 inches.

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The use of volunteer sampling means that the result of the survey is potentially misleading.

Volunteer sampling is a sampling technique in which each participant in the sample opts to join the research, as is the case for this problem, as each participant opted to join in the project to compare their cold lengths.

The drawback of this type of sampling is that it should contain lots of participants that share similar characteristics, such as desiring to weight/diet, and this may influence their recovery to cold. The participants also may lie, which can cause misleading results to the study.

Options to remove misleading conclusions is to use a different type of sampling, such as stratified sampling, as groups of people that are either short or long sleepers are compared to reach a conclusion.

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Answer:

2 3 ⋅ 3 2

Step-by-step explanation:

Answer:23·32

Step-by-step explanation:72 divided by 32 will give you 23 and 32 multiplied by 23 equals 32