the non-negative root of a number is called
A.rational number
B.irrational number
C.principal root
D.square root​

Answer:

3.115

Step-by-step explanation:

pi = 405 ÷ 130

= 3.1153846154

upper bound 3.116

lower bound 3.115

Edit : Incorrect Answer

Answer:

Lower Bound = 2.996

Upper bound = 3.244

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

[If two lines are perpendicular, then the lines intersect to form four right angles] It's true up till here, but a right angle is 90 degrees, not 180 degrees

e) The test statistic and P-value for the chi-square test of homogeneity would be -1.75 and 0.004, respectively.

A chi-square test of homogeneity is a useful tool for comparing two or more categorical variables. In this case, the two variables are smoking (smokers and non-smokers) and alcohol consumption (those who had consumed alcohol in the past week and those who hadn't).

The chi-square statistic is calculated by finding the difference between the observed and expected frequencies of the two groups and squaring it. The expected frequencies are found by multiplying the sample size by the overall probability of success (in this case, drinking alcohol).

The P-value is then calculated based on the chi-square statistic and the degrees of freedom (in this case, one). In this case, the chi-square statistic is -1.75 and the P-value is 0.004.

For more questions like P-value click the link below:

https://brainly.com/question/14790912

#SPJ4

Answer and explanation:

When you use positive interger to represent income, it shows that there has been an addition instead of a subtraction in money value to the business. In other words money is coming in instead of going out. Example when there is profit on goods sold say $10, it is indicated with a positive integer 10 to indicate addition in terms of operating income

When you use a negative value to represent expense, it indicates there has been a subtraction instead of an addition in money value. In other words money is going out of the business and not coming in. Example when there is a transportation expense to convey goods to the buyer, it is recorded as expenses subtracted from say revenue sales of the business. expenses are usually indicated in brackets in accounting to show negative value, although not a requirement since they are already named and recognized as expenses and subtracted regardless

Answer:

1. w=-24

2. g=3

Step-by-step explanation:

To rank the steps involved in transforming one couple to another couple in a parallel plane, here is the correct order:

Identify the initial couple and the desired final couple.

Determine the translation vector that will move the initial couple to the desired final couple.

Translate the initial couple using the determined translation vector. This will shift the entire couple in the parallel plane.

Verify that the translation has successfully moved the initial couple to the desired final couple.

If necessary, make any additional adjustments or transformations to align the initial and final couples precisely in the parallel plane.

Confirm that the final couple is now in the desired position and orientation relative to the initial couple, maintaining the parallelism of the plane.

By following these steps in order, you can effectively transform one couple to another in a parallel plane.

Learn more about transforming here:

https://brainly.com/question/29788009

#SPJ11

9514 1404 393

Answer:

  A, B, D

Step-by-step explanation:

For appropriate values of 'a', the log function has the following characteristics:

Any log function will tend toward negative infinity as x tends to zero (for |a|>1).

The length of the rope is approximately 13.1 feet. (option a).

The cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse. In this case, the adjacent side is the part of the rope that is attached to the pole, and the hypotenuse is the length of the rope.

Using the cosine function, we have:

cos(40) = adjacent side / hypotenuse

Rearranging this equation, we get:

hypotenuse = adjacent side / cos(40)

The adjacent side is the length of the part of the rope that is attached to the pole, which is 10 feet. Therefore, we can substitute this value and the angle into the equation to get:

hypotenuse = 10 / cos(40)

Using a calculator, we can find that cos(40) is approximately 0.766. Therefore, we have:

hypotenuse = 10 / 0.766

Simplifying this expression, we get:

hypotenuse ≈ 13.1 feet

Hence the correct option is (a).

To know more about angle here

https://brainly.com/question/4316040

#SPJ1

Answer:

x=66.0145

Step-by-step explanation:

cos(59)=34/x

x=66.0145

The value of expression is,

⇒ x ÷ 12

We have to given that;

The algebraic expression is,

⇒ x divided by 12

Hence, We can formulate;

The value of correct expression is,

⇒ x ÷ 12

⇒ x / 12

Thus, The value of expression is,

⇒ x ÷ 12

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

the solution to the system of equations is x = 2 and y = 1.

To solve the system of equations by substitution, we will solve one equation for one variable and substitute it into the other equation.

Given the system of equations:

1) y = 6x - 11

2) -2x - 3y = -7

Step 1: Solve equation (1) for y.

  y = 6x - 11

Step 2: Substitute the value of y from equation (1) into equation (2).

  -2x - 3(6x - 11) = -7

Step 3: Simplify and solve for x.

  -2x - 18x + 33 = -7

  -20x + 33 = -7

  -20x = -7 - 33

  -20x = -40

  x = (-40)/(-20)

  x = 2

Step 4: Substitute the value of x into equation (1) to find y.

  y = 6(2) - 11

  y = 12 - 11

  y = 1

Therefore, the solution to the system of equations is x = 2 and y = 1.

Learn more about Equation here

https://brainly.com/question/31345430

#SPJ4

The solution to the system of equations y = 6x - 11 and -2x - 3y = -7 is x = 2 and y = 1. This is achieved by substituting y into the second equation, simplifying, and solving for x, then substituting x back into the first equation to solve for y.

To solve the system of equations y = 6x - 11 and -2x - 3y = -7 by substitution, we start by substituting the equation y = 6x - 11 into the second equation in place of y, giving us -2x - 3(6x - 11) = -7. Next, simplify the equation by distributing the -3 inside the parentheses to get -2x - 18x + 33 = -7. Combine like terms to get -20x + 33 = -7. Subtract 33 from both sides to obtain -20x = -40, and finally, divide by -20 to find x = 2.

Once we find the solution for x, we substitute it back into the first equation y = 6x - 11. Substituting 2 in place of x gives y = 6*2 - 11, which simplifies to y = 1.

Therefore, the solution to the system of equations is x = 2 and y = 1.

https://brainly.com/question/35467992

#SPJ11

Answer:

Step-by-step explanation:

This arc has the same measurement as the central angle. The central angle is LON where O is the center of the circle.

Point M forms an angle that is 1/2 the central angle when M is on the circumference and opposite the 150o angle. Therefore M is the vertex of a 75 degree angle.

76x - 1 = 75       Add 1 to both sides.

76x = 76            Divide by 76

x = 1

Answer: m√M = 98°

Step-by-step explanation:

x + x + 6 + 3x - 16 = 180

5x - 10 = 180

5x = 180 + 10

x = 190 / 5 = 38

m√M = 3x - 16

= 3(38) - 16

= 98°

Answer:

m<M = 98 deg

Step-by-step explanation:

Theorem

The sum of the measures of the angles of a triangle is 180 degrees.

Now we set the sum of the measures of the angles equal to 180 and solve for x.

3x - 16 + x + 6 + x = 180

5x - 10 = 180

5x = 190

x = 38

Now that we know x, we substitute x with 38 in the expression for the measure of angle M.

m<M = 3x - 16

m<M = 3(38) - 16

m<M = 114 - 16

m<M = 98

Let's begin by listing out the information given to us:

3. We see an oval divided into 4 quadrants with the positive x & y axis identified

Answer:

sin=24/=x

Step-by-step explanation:

Answer:

5/3

Step-by-step explanation:

it will be 5 /3

sec theta will be hypotanus/ Adjacent

Answer:

he has 1/2 of a chance to get tan pants and 1/4 of a chance to get a white shirt.

Step-by-step explanation:

hope that helps, mr cleann

Answer: 1/8

Step-by-step explanation:

(W) white (B) black (R) red (BL) blue   (BP) blue pants (TP) tan pants

                       |-------------(B)

                       |-------------(W)

(TP)------------- |-------------(R)

|                       |-------------(BL)

|                      |--------------(B)

|                      |--------------(W)

(BP)-------------|--------------(R)

                      |--------------(BL)

From the tree diagram, a white shirt with tan pants is one out of eight possible outcomes, so the probability of getting tan pants and a white shirt is 1/8.

Answer:

x^2-2x-15 = (

Answer:

part a and b

Step-by-step explanation:

b)It will take him longer to arrive

a)time = distance / speed

198/55 = 3.6  

3 hours and 36 minutes +2:30 = 6:06

Worked out Ibrahim's arrival time in London to be 3.6 hours. Since the average speed is lower, it will take him longer than 3.6 hours.

Speed can be found using the following formula.

Speed = ditance/time

Total distance = 198 miles

Average speed = 55 miles per hour

Speed = distance/time

55 = 198/time

time = 198/55

= 3.6 hours.

It is given that the coach has a lower average speed. This means that the coach will arrive in London in more than 3.6 hours.

Therefore, we have worked out Ibrahim's arrival time in London to be 3.6 hours. Since the average speed is lower, it will take him longer than 3.6 hours.

Learn more about speed here: https://brainly.com/question/4931057

#SPJ2

Thus,  the probability that the total production of these 25 apple trees will exceed 255 apples is 0.3085, or about 31%.

To solve this problem, we need to first find the distribution of the total production of the 25 apple trees.

We know that the average production amount of a single apple tree is normally distributed with a mean of 10 apples and a standard deviation of 2 apples.

Know more about the normally distributed

https://brainly.com/question/4079902

#SPJ11

The binary representations are a) 0.11000110, b) 0.10000010 and c) 0.10100000.

Let's convert the given real numbers to binary with 8 binary places after the radix point.

A. 0.11:

To convert 0.11 to binary, we can use the following steps:

Multiply 0.11 by 2:

0.11 × 2 = 0.22

Take the integer part of the result, which is 0, and write it down.

Multiply the decimal part of the result by 2:

0.22 × 2 = 0.44

Again, take the integer part (0) and write it down.

Repeat steps 3 and 4 until you reach the desired precision (8 binary places after the radix point).

0.44 × 2 = 0.88 (integer part: 0)

0.88 × 2 = 1.76 (integer part: 1)

0.76 × 2 = 1.52 (integer part: 1)

0.52 × 2 = 1.04 (integer part: 1)

0.04 × 2 = 0.08 (integer part: 0)

0.08 × 2 = 0.16 (integer part: 0)

0.16 × 2 = 0.32 (integer part: 0)

0.32 × 2 = 0.64 (integer part: 0)

Write down the integer parts obtained in step 4 and 5, in order:

0.11000110

Therefore, the binary representation of 0.11 with 8 binary places after the radix point is 0.11000110.

B. 0.51:

To convert 0.51 to binary, we can use the same steps:

Multiply 0.51 by 2:

0.51 × 2 = 1.02

Take the integer part of the result, which is 1, and write it down.

Multiply the decimal part of the result by 2:

0.02 × 2 = 0.04

Again, take the integer part (0) and write it down.

Repeat steps 3 and 4 until you reach the desired precision (8 binary places after the radix point).

0.04 × 2 = 0.08 (integer part: 0)

0.08 × 2 = 0.16 (integer part: 0)

0.16 × 2 = 0.32 (integer part: 0)

0.32 × 2 = 0.64 (integer part: 0)

0.64 × 2 = 1.28 (integer part: 1)

0.28 × 2 = 0.56 (integer part: 0)

0.56 × 2 = 1.12 (integer part: 1)

0.12 × 2 = 0.24 (integer part: 0)

Write down the integer parts obtained in step 4 and 5, in order:

0.10000010

Therefore, the binary representation of 0.51 with 8 binary places after the radix point is 0.10000010.

C. 0.625:

To convert 0.625 to binary, we can use the same steps:

Multiply 0.625 by 2:

0.625 × 2 = 1.25

Take the integer part of the result, which is 1, and write it down.

Multiply the decimal part of the result by 2:

0.25 × 2 = 0.50

Again, take the integer part (0) and write it down.

Repeat steps 3 and 4 until you reach the desired precision (8 binary places after the radix point).

0.50 × 2 = 1.00 (integer part: 1)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

Write down the integer parts obtained in step 4 and 5, in order:

0.10100000

Therefore, the binary representation of 0.625 with 8 binary places after the radix point is 0.10100000.

Learn more about binary numbers click;

https://brainly.com/question/28222245

#SPJ1

Answer:

0.42

Step-by-step explanation:

<3

Answer:

x = 70 and the labeled angles are 110 and 70

Step-by-step explanation:

This is a trapezoid, the bases are parallel.

Since the bases are parallel, given two angles are supplementary and their sum is equal to 180:

x + 40 + x = 180 add like terms

2x + 40 = 180 subtract 40 from both sides

2x = 140 divide both sides by 2

x = 70 and the labeled angles are 110 and 70

Step-by-step explanation:

\( \underline { \underline{ \text{Given}}} : \)

\( \underline{ \underline { \text{To\: find}}} : \)

\( \underline{ \underline{ \text{Solution}}} : \)

☥ \( \boxed{ \sf{Discount \: amount = Discount \: \% \: of \: Marked \: price}}\)

⟼ \( \tt{20\% \: of \: 18}\)

⟼ \( \tt{ \frac{20}{100} \times 18}\)

⟼ \( \tt{ \$ \: 3.6 \:}\)

\( \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{ \$ \: 3.6}}}}}}}\)

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

The integral test to determine the following  series converges.

Part 1: Convergence condition for the series

n=2 (-1)-¹√√n (n-3)², converge, diverge absolutely.

We will apply the Cauchy Condensation

Test to determine the convergence condition of the given series.

n=2 (-1)-¹√√n (n-3)²

Let's rewrite the general term an in terms of 2^n.

2^n an = 2^n (-1)-¹√√2ⁿ (2ⁿ-3)²

= -2^(n-½)√√(2-³)²= -2^(n-½)2-³/2

= -2^(n-1/2-3/2)=-2^(n-2)

Thus, by Cauchy's condensation test, the convergence of the given series is equivalent to the convergence of the following series: n=0 2ⁿ (-2)ⁿ,

This is a convergent Geometric Series with a = 2 and r = -2.

Since the absolute value of r is less than 1, the series converges.

Therefore, the given series converges.

Part 2: Use the integral test to determine the following series converges or diverges.

4n³ / x=2(1+2n²)³

Here, a_n=4n³/ (1+2n²)³

Integrate this from 1 to infinity, ∫[4n³/(1+2n²)³]dn=a=-2/[(1+2n²)²] which is less than infinity.

Therefore, the given series converges.

To know more about converge visit:

https://brainly.com/question/29258536

#SPJ11

Answer:

.70p = £420, so p = £600

The original price of the bracelet is £600.

The original price of the bracelet was £600.

To find the original price of the bracelet, we need to use the information that the current price is 70% of the original price. We can use algebra to solve for the original price:

Let X be the original price of the bracelet.

70% of X is equal to £420.

We can write this as:

0.7X = £420

To solve for X, we can divide both sides of the equation by 0.7:

X = £420 ÷ 0.7

Evaluating the right-hand side gives us:

X = £600

Therefore, the original price of the bracelet was £600.

For more questions like Price click the link below:

https://brainly.com/question/13565779

#SPJ11

The function g tells us the amount of remaining water.

The variable x gives us how much time has passed.

Given g(840) = 0,

We can see that the variable x is 840 and the functional value of g is 0.

This means at after 840 minutes the amount of water in the pool will be zero.

Looking at the choices, the correct answer is >>>

To add scientific notation with different exponents, you need to adjust the exponents so that they are equal. Once the exponents are aligned, you can add or subtract the corresponding coefficients.

First, identify the numbers in scientific notation that you want to add. Let's say you have two numbers, A and B, expressed in scientific notation as A x 10^n and B x 10^m, where n and m are the exponents.

To add these numbers, you need to adjust one of them so that the exponents are the same.

Choose the number with the smaller exponent and multiply both its coefficient and exponent by the appropriate power of 10 to match the exponent of the other number.

For example, if n < m, you would multiply number A by \(10^{m-n}\), which means multiplying the coefficient of A by \(10^{m-n}\) and keeping the exponent of 10 as n.

Once the exponents are aligned, you can add or subtract the coefficients of the adjusted numbers.

This will give you the final result in scientific notation.

It's important to note that if the exponents are significantly different, adjusting the exponents may involve multiplying or dividing by large powers of 10, which can affect the precision of the final result.

Therefore, it's advisable to retain the appropriate number of significant figures in your calculations.

In summary, to add scientific notation with different exponents, you adjust one of the numbers by multiplying its coefficient and exponent by an appropriate power of 10 to match the exponent of the other number.

Then, you can add or subtract the coefficients and express the result in scientific notation.

Learn more about Exponent here:

https://brainly.com/question/30240586

#SPJ11

Answer:

c approx= 3.46

Step-by-step explanation:

30°-60°-90° triangle is a Special Right Triangle. There's a great short cut to find the sides if you know any one side. No trig or Pythagorean Theorem necessary (but that is where the short cut comes from)

The hypotenuse is double the short leg OR the short leg is half the hypotenuse. The long leg is the short leg times the sqroot3. In your question we know the long leg is 3.

3÷ sqroot3 = sqroot3

The short leg is sqroot3. The hypotenuse is double that, 2sqroot3.

c = 2sqroot3 is the exact value.

c ~= 3.46

The function g(t) is decreasing at t = 2, and its instantaneous rate of change is equal to -2.

Given the function g(t) = 1 - t²/2, we are required to find the instantaneous rate of change of the function at the value of t = 2. To find this instantaneous rate of change, we need to find the derivative of the function, i.e., g'(t), and then substitute the value of t = 2 into this derivative.

The derivative of the given function g(t) can be found by using the power rule of differentiation.

To find the instantaneous rate of change for the function g(t) = 1 - t²/2 at the given value t = 2,

we need to use the derivative of the function, i.e., g'(t).

The derivative of the given function g(t) = 1 - t²/2 can be found by using the power rule of differentiation:

g'(t) = d/dt (1 - t²/2)

= 0 - (t/1)

= -t

So, the derivative of g(t) is g'(t) = -t.

Now, we can find the instantaneous rate of change of the function g(t) at t = 2 by substituting t = 2 into the derivative g'(t).

So, g'(2) = -2 is the instantaneous rate of change of the function g(t) at t = 2.

Know more about the instantaneous rate of change

https://brainly.com/question/28684440

#SPJ11