Solve for x in the equation x squared minus 12 x + 59 = 0.

Answer:

49pi m^2

Step-by-step explanation:

Area of circle=pi r^2

D=2r=14

r=7

Area of circle =7^2pi=49pim^2

Answer:

Step-by-step explanation:

The diameter = 14m

r = d/2

r = 14/2

r = 7

Area = pi * r * r

Area = 7 * 7 * pi

Area = 49 pi

Answer:

A.32.10

Step-by-step explanation:

You have to remember to subtract the $35 then start to figure out how much he paid every month for a year.

The 95% confidence interval for the mean birth weight of girls, based on a sample of 12 observations, is estimated to be approximately 29.627hg to 32.707hg.

A confidence interval provides an estimate of the range within which the true population parameter (in this case, the mean birth weight of girls) is likely to fall. To construct a 95% confidence interval, we can use the formula:

Confidence interval = sample mean ± (critical value) × (standard deviation / square root of sample size)

Given the sample statistics, n = 12, = 31.167hg, and s = 3.157hg, we can compute the standard error by dividing the standard deviation by the square root of the sample size: s / sqrt(n) = 3.157 / sqrt(12) = 0.910hg.

To find the critical value corresponding to a 95% confidence level, we need to determine the degrees of freedom (n-1) and refer to the t-distribution table or use statistical software. Assuming a t-distribution with 11 degrees of freedom, the critical value for a 95% confidence level is approximately 2.201.

Substituting the values into the confidence interval formula, we have:

Confidence interval = 31.167 ± (2.201) × (0.910) = 31.167 ± 2.004 = (29.627hg, 32.707hg).

Therefore, we can be 95% confident that the true mean birth weight of girls lies within the range of approximately 29.627hg to 32.707hg, based on the given sample data.

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Answer:

No, they are not.

Answer:

No they arent.

Step-by-step explanation:

3/8 = 45/120

7/15 = 56/120

not the same.

Answer:

1/25

Step-by-step explanation:

Probability of an event = number of required outcomes / number Total possible outcomes

Total number of possible outcomes = (0, 1, 2, 3, 4) = 5

Required outcome = (2) = 1

P(2) = 1 /5

.

Second spin

P(2) = 1 /5

Therefore, the probability of ;

P(2, then 2) = first spin * second spin = 1/5 * 1/5 = 1/25

Answer:

D.

Step-by-step explanation:

3/6 = 30/60

Answer:

The answer is D

Step-by-step explanation:

3/6 = 30/60

If you divide the top and bottom of 30/60 by 10 you get 3/6

Hope that helps

Answer:

the answer is D

Answer:

i think its 0

Step-by-step explanation:

im not sure the answer

correct me if im wrong

Answer:

-8

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Use a proportion.

30/15 = 44/x

30x = 15 × 44

2x = 44

x = 22

Answer:

22

Step-by-step explanation:

30 miles/ 15 sessions of tract practice

Per practice Jack is running a total of 2 miles.

So 44 miles/2 miles

22 sessions of track practice

The probability of a Type I error when μ = 76, using a level 0.01 test with n = 100, is approximately 0.0099.

To determine the probability of a Type I error when μ = 76, we need to calculate the probability of rejecting the null hypothesis (H0: μ = 74) when it is actually true.

In this case, we are given that the standard deviation (σ) is 9, the sample size (n) is 100, and the significance level (α) is 0.01.

Since the test is conducted using a level 0.01 significance level, the critical region is determined by the lower tail of the distribution. We reject the null hypothesis if the test statistic falls in the critical region.

Since the sample size is large (n = 100), we can use the normal distribution to approximate the sampling distribution of the sample mean.

The test statistic follows a standard normal distribution under the null hypothesis, with a mean of 74 and a standard deviation of σ/√n = 9/√100 = 0.9.

To find the critical value that corresponds to a significance level of 0.01, we can use a standard normal distribution table or a calculator. The critical value is approximately -2.33.

Now, we can calculate the probability of a Type I error:

P(Type I error) = P(reject H0 | H0 is true)

P(Type I error) = P(sample mean < critical value | μ = 74)

Since μ = 74, the sample mean is normally distributed with a mean of 74 and a standard deviation of 0.9 (σ/√n).

P(Type I error) = P(sample mean < -2.33 | μ = 74)

Using a standard normal distribution table or a calculator, we can find the probability associated with the z-value -2.33, which is approximately 0.0099.

Therefore, the probability of a Type I error when μ = 76, using a level 0.01 test with n = 100, is approximately 0.0099.

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Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

X + 9 < 12

X + 9 - 9 < 12 - 9

X < 3

Step-by-step explanation: is pretty simple

Answer:

we know that

case a) alternate exterior angles

m∠2=m∠7 --------> by alternate exterior angles

m∠1=m∠8 --------> by alternate exterior angles

case b) alternate interior angles

m∠3=m∠6 --------> by alternate interior angles

m∠5=m∠4 --------> by alternate interior angles

case c) corresponding angles

m∠1=m∠5 --------> by corresponding angles

m∠3=m∠7 --------> by corresponding angles

m∠2=m∠6 --------> by corresponding angles

m∠4=m∠8 --------> by corresponding angles

case d) vertical angles

m∠1=m∠4 --------> by vertical angles

m∠2=m∠3 --------> by vertical angles

m∠5=m∠8 --------> by vertical angles

m∠6=m∠7 --------> by vertical angles

therefore

the answer in the attached figurewe know that

case a) alternate exterior angles

m∠2=m∠7 --------> by alternate exterior angles

m∠1=m∠8 --------> by alternate exterior angles

case b) alternate interior angles

m∠3=m∠6 --------> by alternate interior angles

m∠5=m∠4 --------> by alternate interior angles

case c) corresponding angles

m∠1=m∠5 --------> by corresponding angles

m∠3=m∠7 --------> by corresponding angles

m∠2=m∠6 --------> by corresponding angles

m∠4=m∠8 --------> by corresponding angles

case d) vertical angles

m∠1=m∠4 --------> by vertical angles

m∠2=m∠3 --------> by vertical angles

m∠5=m∠8 --------> by vertical angles

m∠6=m∠7 --------> by vertical angles

therefore

the answer in the attached figure

Step-by-step explanation:

THIS IS NOT MY ANSWER

Congruent angles are angles with equal measures

Angles between parallel lines and transversals are congruent by any of the following relationships

Using the above angle relationships, the classifications of the angles are:

Alternate exterior angles

m∠2=m∠7

m∠1=m∠8

Alternate interior angles

m∠3=m∠6

m∠5=m∠4

Corresponding angles

m∠1=m∠5

m∠3=m∠7

m∠2=m∠6

m∠4=m∠8

Vertical angles

m∠1=m∠4

m∠2=m∠3

m∠5=m∠8

m∠6=m∠7

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TheThe horizontal component of vector v is approximately -138.1 and the vertical component is approximately 75.9. The horizontal component of vector v is approximately 86.1 and the vertical component is approximately -123.7.

For vector v with a magnitude of 151.9 and a direction angle of 291.7°, we can find the horizontal and vertical components. To calculate the horizontal component, we use the formula: horizontal component = ∣v∣ * cos(θ). Substituting the values, we get approximately -138.1. For the vertical component, we use the formula: vertical component = ∣v∣ * sin(θ). Substituting the values, we get approximately 75.9.

For vector v with a magnitude of 147.1 and a direction angle of 204.3°, we can find the horizontal and vertical components. Using the same formulas as above, we calculate the horizontal component to be approximately 86.1 and the vertical component to be approximately -123.7.

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Answer:

(m+n)(m-3)

Step-by-step explanation:

The algebraic expression is,

⇒ 10 + c/3 = 12

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

''ten more than the quotient of c and three is 12.''

Now, We can formulate;

⇒ ten more than the quotient of c and three is 12

⇒ 10 + c/3 = 12

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Complete question is this,

Ten more than the quotient of c and three is 12.

Answer:

A,C,D are triangles, B is not.

Step-by-step explanation:

Let 3 sides of a triangle be a,b,c.

A triangle have the sum of 3 angles = 180 degree

and

a-b<c<a+b (similar for a and b)

a. three sides measuring 6 cm, 8 cm, and 10 cm

Satisfied the a-b<c<a+b property -> triangle

b. three angles measuring 40 degrees, 70 degrees, and 65 degrees

Total of 3 angles = 40+70+65 = 175 > 180

-> not triangle

c. three angles measuring 10 degrees, 25 degrees, and 145 degrees

Total of 3 angles = 10+25+145 = 180

-> triangle

d. three sides measuring 9 m, 15 m, and 9 m

Satisfied the a-b<c<a+b property -> triangle

Answer:

C

All triangle must equal 180, 40 + 70 + 65 = 175

To create a scale illustration of her bedroom, Elena must draw a 10cm by 6cm rectangle.

To create a scale illustration of her bedroom she must take into account the scale she will be using. In this case it would be 1:50, that is, each original unit must be divided into 50 parts. Therefore, we must divide the lengths into 50 as shown below. Additionally we must take the values in cm.

According to the above, a scale model would be 10cm by 6cm.

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Answer: I write more than one choice . The book is on the table , desk , bed , chair or shelf.

Step-by-step explanation: hope it helps

Answer:

Step-by-step explanation:

1 is c

2 is e

3 is a

4 is f

5 is b

Answer: 12², or 1468944.

Step-by-step explanation;

To calculate the area, you need to multiply the width (3 meters) times the length (4 meters). So, 3 x 4 is 12², or 1468944.

The equation of tangent line to the curve y = ln(x^2 - 4x + 1) is y = 4x -16.

According to the given question.

We have a curve y = ln(x^2 - 4x + 1)

Let the equation of tangent line to the curve y = ln(x^2 - 4x + 1) be

y = mx + b

Where, m is the slope of the curve.

So, the slope of the curve m, y = ln(x^2 - 4x + 1) at x = 4 is given by

m = dy/dx

⇒ m = d(ln(x^2 - 4x + 1))/dx

\(\implies m = \frac{1}{(x^{2} -4x+1)}\frac{d}{dx}(x^{2} -4x+1)\)

\(\implies m = \frac{1}{(x^{2} -4x+1)} (2x -4)\)

\(\implies m = \frac{1}{(16-16+1)} (8-4)\)       (at x = 4)

⇒ m = 1(4)

⇒ m = 4

Substitute the value of m in y = mx + b

⇒ y = 4x + b

Since, the above tangent line is passing through (4, 0). So, the point (4, 0) must satisfy y = 4x + b.

⇒ 0 = 4(4) + b

⇒ b = -16

Therefore, the equation of tangent line to the curve y = ln(x^2 - 4x + 1) is given by

y = mx + b

⇒ y = 4x -16        (by substituting the vale of m and b in y = mx+b)

Hence, the equation of tangent line to the curve y = ln(x^2 - 4x + 1) is y = 4x -16.

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Answer:

It would take 1097 days for the costs in Canada to be equal (up to) the cost in China

Step-by-step explanation:

The information given in the question includes;

1) China initial fee = $1,000,000

Number of people = 10

Payment per person per day = $1

Payment for the 10 people per day = $10

Canada initial fee = $50,370

Number of people = 10

Payment per person per day = $90

Payment for the 10 people per day = $900

Step 1: Define the variables to represent unknown quantities

Let the number of days at which the cost would be equal be X

Step 2: The equations relating the variables are;

$1,000,000 + X-days × $10/day = $50,370 + X-days × $900/day

Step 3: To solve the equation we have;

$1,000,000 - $50,370 =  X-days × $900/day - X-days × $10/day

$949,360 = X-days × $890/day

X-days = $949,360 ÷ $890/day = 1067 days

Step 4: Conclusion: It would take 1097 days for the costs in Canada to be equal (up to) the cost in China

5) The difference in wages can be explained by the following;

1) Low cost of living in China compared to Canada

2) Higher unemployment figures in China

3) Government policies

6) Companies that outsource their manufacturing includes;

1) Apple 2) Cisco 3) Nike

7) Advantages of outsourcing

a) Acquire skilled labor

b) Reduce the distraction of manufacturing and focus on fundamental pursuits

c) Reduce risks

d) Improve efficiency

e) 24 hours up time business  

f) Improved workforce flexibility

g) Service improvement

h) Cost savings

8) Disadvantages of outsourcing

a) Hidden costs of production

b) Potential loss of focus

c) Increased security risks

d) Reduced central control

e) Partake in financial cost of other companies

Answer:

\(x^2-4x+3\)

\(63\ \text{sq. units}\)

Step-by-step explanation:

l = Length = \(\dfrac{x^2-x-6}{x-5}\)

w = Width = \(\dfrac{x^2-6x+5}{x+2}\)

Area is given by

\(A=lw\\\Rightarrow A=\dfrac{x^2-x-6}{x-5}\times\dfrac{x^2-6x+5}{x+2}\\\Rightarrow A=\dfrac{x^2-3x+2x-6}{x-5}\times\dfrac{x^2-5x-1x+5}{x+2}\\\Rightarrow A=\dfrac{(x-3)(x+2)}{x-5}\times\dfrac{(x-5)(x-1)}{x+2}\\\Rightarrow A=(x-3)(x-1)\\\Rightarrow A=x^2-4x+3\)

Area of the room is \(x^2-4x+3\).

If \(x=10\)

Area of the room

\(A=x^2-4x+3=10^2-4\times 10+3\\\Rightarrow A=63\ \text{sq. units}\)

So, the amount of carpet needed would be \(63\ \text{sq. units}\).

Y = (1/6)*e^5t  is  differential equation .

What exactly does differential equation mean?

An equation that connects one or more unknown functions and their derivatives is known as a differential equation in mathematics.  

                                     Applications typically use functions to describe physical quantities, derivatives to indicate the rates at which those quantities change, and differential equations to define a relationship between the two.

y′′−9y′+26y=e^(5t)

The characteristice equation of the differential equation is : r^2 -9r +26 =0

On solving we get the values of r=4.5 + 2.34i (z1) ,  4.5 - 2.4i(z2)--- (complex roots)

homogeneous solution is: yh = c1e^z1t + c2e^z2t

Plug  Y = Ae^5t in the ODE:

=   25Ae^5t -9*5Ae^5t +26Ae^5t =e^(5t)

25A -45A +26A =1 ;  6A = 1; A =1/6

Y = c1e^z1t + c2e^z2t  is a general solution but we wnata particular solution

So, simply Y = (1/6)*e^5t

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A solution that is real in its nature is called the real solution of that equation.

X + 5 = 0

We can solve the above equation as,

X + 5 = 0

X = -5

Now, if we plug the value of X into the equation,

X + 5 = 0

-5 + 5 = 0

0 = 0

The solution is real and is true for this equation.

While the solution of an algebraic expression solution is imaginary if it is the square root of a negative number. It involves the imaginary unit iota.

The complete solution of the expression is given below in the picture.

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Answer:

B

Step-by-step explanation:

the answer is 3x^3 +13x^2 +6x -8.

Answer:

I can simplify it for u but not sure the product

3x(x²+3x-2)+4(x²+3x-2)

3x³+9x²-6x+4x²+12x-8

=3x³+13x²+6x-8

that's the final answer

Answer:

See below.

Step-by-step explanation:

Solving :-

#1

#2

They both have the numerator in both solutions to be 5 and -3 respectively. I believe this is because both equations have the constant term, c, to be -15 and 5 and -3 are factors of -15.