What percent of 200 is 12?​

Answer:

Step-by-step explanation:

U={x|x∈N and x<10}

or U={1,2,3,4,5,6,7,8,9}

B={x|x∈N and x is even and x<10}

or

B={2,4,6,8}

C={x|x∈N and x<10}

or

C={1,2,3,4,5,6,7,8,9}

(B∩C)={2,4,6,8}

(B∩C)'={1,3,5,7,9}

Using linear approximation, the expression √125.2 can be approximated as approximately 10.02.

To find the equation of the tangent line to the function f(x) = √x at x = 125, determine the slope (m) and the y-intercept (b) of the tangent line.

First, find the slope (m) using the derivative of the function f(x) = √x:

f'(x) = 1 / (2√x)

Evaluate the derivative at x = 125:

f'(125) = 1 / (2√125) = 1 / (2 × 5) = 1/10

Now, find the y-coordinate of the point on the function f(x) at x = 125:

f(125) = √125 = 5

So, the tangent line at x = 125 passes through the point (125, 5) and has a slope of 1/10.

Using the point-slope form of a linear equation, the equation of the tangent line can be written as:

y - 5 = (1/10)(x - 125)

To simplify, multiply through by 10:

10y - 50 = x - 125

Rearranging the equation, express it in the form y = mx + b:

y = (1/10)x - 75/10 + 5

Simplifying further:

y = (1/10)x - 75/10 + 50/10

Combining the terms:

y = (1/10)x - 25/10

Therefore, the equation of the tangent line to f(x) = √x at x = 125 is y = (1/10)x - 25/10.

Now, use this tangent line to approximate the value of √125.2:

Substitute x = 125.2 into the equation:

y = (1/10)(125.2) - 25/10

y = 12.52 - 2.5

y ≈ 10.02

So, using linear approximation, approximate √125.2 as approximately 10.02.

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The city will have 236 streetlights at the end of 52 weeks.

1. The city currently has 136 streetlights.

2. The city council has decided to install 4 additional streetlights at the end of each week for the next 52 weeks.

3. To calculate the total number of streetlights at the end of 52 weeks, we need to determine how many streetlights will be installed over the 52-week period and add it to the current number of streetlights.

4. The number of streetlights installed each week is 4, and this will continue for 52 weeks.

5. To find the total number of streetlights installed over 52 weeks, we multiply the number of weeks (52) by the number of streetlights installed each week (4).

  Total number of streetlights installed = 52 weeks * 4 streetlights/week = 208 streetlights.

6. Adding the current number of streetlights (136) to the total number of streetlights installed (208) gives us the final answer.

  Final answer: The city will have 136 + 208 = 344 streetlights at the end of 52 weeks.

Therefore, the correct statement is:

The city will have 344 streetlights at the end of 52 weeks.

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Answer:

See below for answers

Step-by-step explanation:

shape        radius               diameter

a                 1/2 cm                  1 cm

b                  1 cm                     2 cm

 c                 2 cm                     4 cm

 d                 1 cm                      2 cm        

Answer:

your area is 13 and the perimeter look at the green one

Step-by-step explanation:

Answer:

I cant draw 4 u sry

Answer:

A. c = 3.5h + 15

Step-by-step explanation:

I can't exactly draw the problem BUT I can still help.

C represents the cost altogether but we do not know how much the total cost would be.

So we're paying $15 as a fee, no more from that.

Next, there's another fee that costs $3.50 per hour but since we wouldn't know how long we would use the kayak, hours would represent h.

Now, c = 3.5h + 15.

(In other words, the cost to rent a kayak would be $3.5 PLUS the additonal 15 one time cost.)

Answer:

15

Step-by-step explanation:

First you would replace the x and y's with 1/2 and 3.

So it would look like: (1/2) (3) + 3 1/2 + 20 (1/2)

Next, you go by PEMDAS (parenthesis, exponents, multiplications, division, addition, subtraction)

So you would first multiply and the parenthesis that I added mean multiplication.

1.5 + 3.5 + 10

So then all that is left to do is add because I multiplied everything out.

So it is 5 + 10 which is 15

(i)  The partial fraction decomposition of\(100/(x^7 * (10 - x))\) is\(100/(x^7 * (10 - x)) = 10/x^7 + (1/10^5)/(10 - x).\) (ii) The expression for t in terms of x is t = 10 ± √(100 + 200/x).

(i) To express the rational function 100/(\(x^7\) * (10 - x)) in partial fractions, we need to decompose it into simpler fractions. The general form of partial fractions for a rational function with distinct linear factors in the denominator is:

A/(factor 1) + B/(factor 2) + C/(factor 3) + ...

In this case, we have two factors: \(x^7\) and (10 - x). Therefore, we can express the given rational function as:

100/(\(x^7\) * (10 - x)) = A/\(x^7\) + B/(10 - x)

To determine the values of A and B, we need to find a common denominator for the right-hand side and combine the fractions:

100/(x^7 * (10 - x)) = (A * (10 - x) + B * \(x^7\))/(\(x^7\) * (10 - x))

Now, we can equate the numerators:

100 = (A * (10 - x) + B * \(x^7\))

To solve for A and B, we can substitute appropriate values of x. Let's choose x = 0 and x = 10:

For x = 0:

100 = (A * (10 - 0) + B * \(0^7\))

100 = 10A

A = 10

For x = 10:

100 = (A * (10 - 10) + B *\(10^7\))

100 = B * 10^7

B = 100 / 10^7

B = 1/10^5

Therefore, the partial fraction decomposition of 100/(\(x^7\) * (10 - x)) is:

100/(\(x^7\) * (10 - x)) = 10/\(x^7\) + (1/10^5)/(10 - x)

(ii) Given the differential equation: dx/dt = (1/100) *\(x^2\) * (10 - x)

We are also given x = 1 when t = 0.

To solve this equation and obtain an expression for t in terms of x, we can separate the variables and integrate both sides:

∫(1/\(x^2\)) dx = ∫((1/100) * (10 - x)) dt

Integrating both sides:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) + C

Where C is the constant of integration.

Now, we can substitute the initial condition x = 1 and t = 0 into the equation to find the value of C:

-1/1 = (1/100) * (10*0 - (1/2)*\(0^2\)) + C

-1 = 0 + C

C = -1

Plugging in the value of C, we have:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1

To solve for t in terms of x, we can rearrange the equation:

1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1

Multiplying both sides by -1, we get:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1

Simplifying further:

1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1

Now, we can isolate t on one side of the equation:

(1/100) * (10t - (1/2)t^2) = 1 - 1/x

10t - (1/2)t^2 = 100 - 100/x

Simplifying the equation:

(1/2)\(t^2\) - 10t + (100 - 100/x) = 0

At this point, we have a quadratic equation in terms of t. To solve for t, we can use the quadratic formula:

t = (-(-10) ± √((-10)^2 - 4*(1/2)(100 - 100/x))) / (2(1/2))

Simplifying further:

t = (10 ± √(100 + 200/x)) / 1

t = 10 ± √(100 + 200/x)

Therefore, the expression for t in terms of x is t = 10 ± √(100 + 200/x).

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Answer:

141.37 ft^3

Step-by-step explanation:

No question was asked, but based off of the given information, I will assume you want to know the volume of the circular cylinder.

The volume of a circular cylinder is: v=(π)(r^2)(h)

r=3

h=5

v=(π)(3^2)(5)

v = 141.37

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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The whisker plot with the data provided should includes a range that goes from 7 to 49, and a median of 23.

A whisker plot, also known as a box plot, is a graphical representation of a data set that shows the distribution of the data along with some important statistical information, such as the median, quartiles, and outliers. It is particularly useful for comparing the distribution of different data sets or for identifying potential outliers in a data set.

To create a whisker plot, follow these steps:

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Answer: 75/100

Step-by-step explanation:

the total number of flowers= 25+15+30+20+10

                                             = 100

so probability that the flower is not a rose is= 75/100

Note: i got 75 by subtracting 100 by 25                                          

Answer:

-5/4

Step-by-step explanation:

Let \((x_1,y_1)=(-4,4)\) and \((x_2,y_2)=(0,-1)\). The slope of the line would be:

\(\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}\)

Answer: -5/4

Step-by-step explanation:

To find the slope between two points, you can use the formula:

Slope = (y2 - y1)/(x2 - x1)

Using the points (0, -1) and (-4, 4), we can substitute the coordinates into the formula:

slope = (4 - (-1))/(-4 - 0)

slope = (4 + 1)/(-4)

slope = 5/-4

Therefore, the slope between the two points is -5/4.

Answer:

4490.05

Step-by-step explanation:

There is a 7% increase in hοme οwnership fοr secοnd-generatiοn Hispanic Americans cοmpared tο first-generatiοn Hispanic Americans.

"Difference" generally means the degree οf dissimilarity οr distinctiοn between twο οr mοre things. It cοuld refer tο the cοntrast in characteristics, qualities, values, οr features οf the items being cοmpared.

we can calculate the difference in percentage οf hοme οwnership between the first- and secοnd-generatiοn Hispanic Americans:

\(\text{Difference in percentage of home ownership for Hispanic Americans}\)

\(&= 50%\)% \(- 43%\)%

\(&= 7%\)%

Therefοre, this shοws that there is a 7% increase in hοme οwnership fοr secοnd-generatiοn Hispanic Americans cοmpared tο first-generatiοn Hispanic Americans.

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Answer:

A =12.56 m^2

Step-by-step explanation:

Find the area of a circle with radius 4

A = pi r^2

A = 3.14 * 4^2

A =50.24

Since this is 1/4 of the circle, multiply by 1/4

A = 1/4 * 50.24

A =12.56 m^2

Answer:

12.56

Step-by-step explanation:

the formula for the area of a circle is the following:

\(\pi r^{2}\)

so divide that formula by 4 to get a quarter and plug in the radius for r.

\((\pi )(4^2)/4= 12.56\)

There is insufficient information so the joint probability mass function of X and Y.

given that

there are three bowls they are a red bowl , a green bowl and a blue bowl  are on the kitchen table

alan places one egg into a randomly selected bowl.

X = # of eggs placed into the red bowl

Y = # of empty bowls at the end of the experiment.

the joint probability mass function of X and Y

1. Not sufficient

R=5

let us consider when G = 2 , B = 1 => P(G) = 2/8

when G=1, B=2 => P(G) = 1/8

2. Not Sufficient

P(B) = 1/3 = x/3x

But this doesn't tell us anything about B or total because P(B) = 1/3 , but it could also be 2/6 or 3/9 so on..

So we can have different B . Thus we can have different G combinations.

Together - Not Sufficient

P(B) = x/(3x) , R = 5

P(G) = 1- P( not G )

= 1- P(R or B)

But we cannot calculate this with out knowing P(R) and P(B).

we cannot solve this problem because there is no proper information is given.

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Answer:

If I calculated correctly, the tangent line is horizontal where x ≈ -5.3 + 9.3i, and -5.3 - 9.3i

I'm somewhat concerned at having gotten complex numbers, and strongly recommend going through the steps to see if I missed anything.  I checked it myself and don't see any errors.

Step-by-step explanation:

You can do this by taking the derivative of the function and solving for zero:

f(x) = 2x³ + 32x² + 220x + 11

f'(x) = 6x² + 64x + 220

f'(x) = 2(3x² + 32x + 110)

We can't factor that further, so let's do it the long way, starting by letting f'(x) equal zero:

0 = 2(3x² + 32x + 110)

0 = 3x² + 32x + 110

0 = 9x² + 96x + 990

0 = 9x² + 96x + 256 + 734

0 = (3x + 16)² + 734

(3x + 16)² = -734

3x + 16 = ± i√734

3x = -16 ± i√734

x = (-16 ± i√734) / 3

x ≈ (-16 + 27.9i) / 3, and  (16 - 27.9i) / 3

x ≈ -5.3 + 9.3i, and -5.3 - 9.3i

I'm always wary when I end up with complex numbers.  I'd suggest double checking everything here, but I'm fairly certain I did everything correctly.

The completed statement with regards to the area of the square and the rectangle are;

The estimated value of the length of the shaded square is 5·√5 inches. The estimated value of the area of the unshaded rectangle is 175 square inches.

The area of a square is the product of the side lengths which are congruent, therefore;

Area of a square = Side length, s × Side length, s = s²

The possible figure in the question includes;

A shaded square that is 125 square inches

An adjacent unshaded rectangle, that share a side with the square that has a side length of 7·√5 inches

Please find attached the possible drawing of the figure in the question, (not drawn to scale) obtained from a similar question posted online, created with MS Word.

Therefore;

The side length of the square = √(125) inches =  5·√5 inches

The estimated value of the side length of the square is; 5·√5 inches

The area of a rectangle = Length × Width

The length of the rectangle = 7·√5 inches

The width of the rectangle = 5·√5 inches

Therefore;

The area of the unshaded rectangle, therefore is; 5·√5 × 7·√5 = 175

The estimated area of the unshaded rectangle is 175 square inches

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Answer:

One solution

Step-by-step explanation:

x - 4y = 6

-4y = 6 - x

-4y/-4 = 6/-4 -x/-4

y = -6/4 + -x/4

2x − 8y = 12

-8y = 12 - 2x

-8y/-8 = 12/-8 - 2x/-8

y = -12/8 + 2x/8

Graph "y = -6/4 + -x/4" and "y = -12/8 + 2x/8" to find how many solutions these lines have.

As shown below, it has only one solution.

Answer:

$40.80

Step-by-step explanation:

First, convert the 20% to an actual number that can be used in a calculation. For percent, this is always done by simply dividing the percent, in this case, 20%, by 100%. So, the conversational term "20%" becomes 20% / 100% = 0.20 in terms of a real mathematical number.

Second, you need to find out what 20% of your $34.00 meal cost is. This is always done by multiplying 0.20 by $34.00, or 0.20 x $34.00=$6.80. So, the amount of tip you are going to leave is $6.80.

This makes the total cost of your meal (to write on your charge slip or other payment)

$34.00 + $6.80 = $40.80.

Answer:

$40.80

Step-by-step explanation:

If you pay for the original cost of the dinner AND leave a 20% tip then the total amount paid will be 120% of the original cost (100% + 20% = 120%).

Convert 120% into a decimal:  120% = 120/100 = 1.2

So 120% of $34.00 = 1.2 × 34 = $40.80

Answer:

64 pizzas

Step-by-step explanation:

4:3 * x:48

x resembles the amount of pizzas sold,

what times 3 = 48?

x=16

4 * 16 is 64

64 pizzas were sold

* Let me know if you have any questions*

Step-by-step explanation:

an open (empty) point means the point itself is not included.

a closed (filled) point means the point itself is included.

the x values going from -3 (not included) to -1 (included) means

-3 < x <= -1

so, the second answer is correct.

They are similar. See the below for the proof.

Radius of circle A = 3

Radius of circle B = 5

radius A < radius B

radius B > radius A

So we move the circle with the smaller radius into the circle with the larger radius in such a way that the center of both circles align with each other.

To increase the size of circle B, we apply dilation one of the form of transformation.

In dilation, the original image is increased or decreased by a scale factor.

Since All points from the circumference of the circle are of equal distance from the center of the circle, the radius is used to determine the scale factor

radius of small circle × scale factor = radius of big circle

scale factor = big radius/small radius

scale factor = 5/3

So considering the two radius are apart, and we need to move them and aligh them, there will be translation. This is also a form of transformation. It causes movement up, down, left or right.

After the translation comes the dilation.

Hence, it is proven the circles are similar after the two transformations are done.

answer : 10 fish in each tank because 10 time 5 equals 50 and there 5 tanks sotaht mean 50 divided by 5 it will be 10 fish

Answer:

the sample size that would limit margin of error is 443

Step-by-step explanation:

The confidence level = 99 percent = 0.99

1 - alpha = 0.99

Alpha = 1 - 0.99

= 0.01

The critical z value for alpha = 0.01 = 2.576

Sample proportion = 0.46

Margin of error E = 0.061

Sample size = p(1-p)(Z/E)²

= 0.46(1-0.46) x (2.576/0.061)²

= 0.46(0.54)(42.23)²

= 0.2484 x 1783.37

= 442.989

= 443

The sample size would be 443

Answer:

9 13/15

Step-by-step explanation:

Answer:

9 13/15

Step-by-step explanation:

7+2=9

2/3+1/5=10/15+3/15=13/15

9 13/15