I have no clue how to do this, how do you solve it and what is the answer?
What is m∠X to the nearest degree?

An overseas phone call is charged at one rate (a fixed amount) for the first minute

and at a different rate for each additional minute.

If a 7 minute call costs $10, and a 4 minute call costs $6.40, find each rate.

SOLUTION

This is a case of partial variation

C = a + k b

where C = cost of the call.

a = constant rate

k = per unit rate for a different rate for each additional minute.

when C= $10, b = 7

when C = $ 6. 40 , b = 4

10 = a + 7 k -------------- equ 1

6.40 = a + 4 k ................. equ 2

equation 1 minus equation 2 , we have :

10 - 6. 40 = 7 k - 4 k

3.60 = 3k

Divide both sides by 3 , we have :

k = 3. 60 / 3

k = 1.20

put k = 1. 20 in equ 1 , we have :

10 = a + 7 k

10 = a + 7 ( 1.20 )

10 = a + 8.40

a = 10 - 8. 40

a = 1. 60

CONCLUSION :

a = constant rate = $ 1.60 ( fixed amount) for the first minute.

k = per unit rate for a different rate for each additional minute = $ 1.20 per minute.



a) Sample space is  {HHH, HHT.HTH,THH,TTT,TTH,THT,HTT}.

b) The assignment of probabilities to outcomes in this sample space is 1/8.

By dividing the number of positive outcomes by the entire number of possible outcomes, probability—the likelihood that an event will occur—is determined. The most basic illustration is a coin toss. There are just two outcomes when you flip a coin: either it comes up heads or tails.

Given,

(A) What is the scope of this random process' sample space?

There are three possible results from tossing a coin three times.

The sample area connected to the specified random process is:

S = {HHH, HHT.HTH,THH,TTT,TTH,THT,HTT}

(b) How are outcomes in this sample space assigned probabilities?

Since there are eight possible outcomes in the sample space supplied, and we are aware that a fair coin is tossed three times, As a result, the likelihood of every event listed in the provided sample space is the same. Thus, we have:

Probability = 1/8

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Answer:

The length of the curve defined by y = 3x^(3/2) + 9 from x = 1 to x = 7 is approximately 16.258 units.

Step-by-step explanation:

To find the length of the curve defined by the equation y = 3x^(3/2) + 9 from x = 1 to x = 7, we can use the formula for arc length:

L = ∫[a,b] √(1 + (dy/dx)^2) dx,

where a and b are the x-values corresponding to the start and end points of the curve.

In this case, the start point is x = 1 and the end point is x = 7.

First, let's find the derivative dy/dx:

dy/dx = d/dx (3x^(3/2) + 9)

      = (9/2)x^(1/2)

Now, we can substitute the derivative into the formula for arc length:

L = ∫[1,7] √(1 + [(9/2)x^(1/2)]^2) dx

 = ∫[1,7] √(1 + (81/4)x) dx

 = ∫[1,7] √((4 + 81x)/4) dx

 = ∫[1,7] √((4/4 + 81x/4)) dx

 = ∫[1,7] √((1 + (81/4)x)) dx

Now, let's simplify the integrand:

√((1 + (81/4)x)) = √(1 + (81/4)x)

Applying the antiderivative and evaluating the definite integral:

L = [2/3(1 + (81/4)x)^(3/2)] [1,7]

 = [2/3(1 + (81/4)(7))^(3/2)] - [2/3(1 + (81/4)(1))^(3/2)]

 = [2/3(1 + 567/4)^(3/2)] - [2/3(1 + 81/4)^(3/2)]

 = [2/3(571/4)^(3/2)] - [2/3(85/4)^(3/2)]

Calculating the numerical values:

L ≈ 16.258

Therefore, the length of the curve defined by y = 3x^(3/2) + 9 from x = 1 to x = 7 is approximately 16.258 units.

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Answer:

24 cm^2

Step-by-step explanation:

There are 6 sides on a cube.

If the length of a side is 2, then the area of a face is 4 because it is a square.

4 x 6 = 24.

The work done in lifting the lower end of the chain to the ceiling so that it is level with the upper end is 250 ft-lb.

The work done in lifting the lower end of the chain to the ceiling can be calculated using the formula for work, which is given by:

Work = force x distance

In this case, the force is the weight of the chain, which is 25 lb, and the distance is the length of the chain, which is 10 ft.

So, the work done in lifting the lower end of the chain to the ceiling is:

Work = 25 lb x 10 ft

Work = 250 ft-lb

Therefore, the work done in lifting the lower end of the chain to the ceiling so that it is level with the upper end is 250 ft-lb.

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The work done in lifting the lower end of the chain to the ceiling so that it is level with the upper end is 125 ft-lb.

The work done in lifting the lower end of the chain to the ceiling so that it is level with the upper end is 125 ft-lb.

To find the work done in lifting the lower end of the chain to the ceiling, we need to consider the average weight of the chain as it is being lifted.

1. First, find the weight per foot of the chain:Weight of chain = 25 lbLength of chain = 10 ftWeight per foot = (25 lb) / (10 ft) = 2.5 lb/ft2.

Determine the average weight being lifted:Since you're lifting the chain from one end, the average weight you're lifting is half of the chain's total weight.

Average weight = (25 lb) / 2 = 12.5 lb3. Calculate the work done:Work done = Force x DistanceForce = Average weight = 12.5 lbDistance = Length of chain = 10 ftWork done = (12.5 lb) x (10 ft) = 125 ft-lb

So, the work done in lifting the lower end of the chain to the ceiling so that it is level with the upper end is 125 ft-lb.

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The interpretation of the slope is that it represents the additional cost per mile driven, beyond the initial charge of $30.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

The equation for the total cost of renting the truck is:

C = 30 + 2.50m

where C is the total cost

m is the number of miles driven.

The slope of the equation is the coefficient of "m", which is 2.50. The slope represents the rate of change of the total cost with respect to the number of miles driven.

In this case, the slope of 2.50 means that for each mile driven, the total cost of renting the truck increases by $2.50.

So, the interpretation of the slope is that it represents the additional cost per mile driven, beyond the initial charge of $30.

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Explanation:

To address the issue of a custodial parent relocating in Oregon, either the non-custodial parent or the custodial parent may file a petition in court. Here are the steps to follow:

1. Determine the appropriate court: Find the circuit court in the county where the custodial parent currently resides.

2. Draft the petition: Write a petition outlining the reasons for either stopping the relocation or asking the judge to allow it. Make sure to include relevant details, such as the child's best interests, and any impact on the current parenting plan.

3. File the petition: Submit the petition to the appropriate court, along with any required filing fees. Keep a copy of the filed petition for your records.

4. Serve the petition: Ensure the other parent is properly served with a copy of the petition, as per Oregon's service of process requirements.

5. Attend hearings: Be prepared to attend court hearings, where both parties will have an opportunity to present their arguments regarding the relocation. The judge will consider the facts and make a decision based on the child's best interests and the existing custody arrangement.

6. Await the judge's decision: After hearing both sides, the judge will decide whether to allow or deny the relocation request. This decision will be based on factors such as the child's relationship with both parents, the reason for the move, and the impact on the child's well-being.

7. Follow the court order: Comply with the judge's decision, and make any necessary adjustments to the parenting plan as required.

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a. To represent the value of the house t years after the house was purchased, we can use the formula for compound interest:

Value = Principal * (1 + Rate)^Time

In this case, the principal (P) is the initial purchase price of the house, which is $135,000.

The rate (R) is the annual appreciation rate, which is 4% or 0.04. The time (T) is the number of years after the house was purchased.

Therefore, the function to represent the value of the house t years after the purchase is:

Value(t) = $135,000 * (1 + 0.04)^t

b. To find the value of the house in 10 years, we can substitute t = 10 into the function:

Value(10) = $135,000 * (1 + 0.04)^10

Calculating this expression gives us the value of the house after 10 years based on the given rate of appreciation.

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Answer: This might be a little too late but I believe the answer is 2; distance increases by 2 miles per hour. I hope you have a great day and good luck!

Answer:

Step-by-step explanation:

Recursive sequences generally look like this:

a1 = something

an= ahhhhhh

The 1st term in this sequence is 11.

So we have

a1=11

And now we see that each term is adding by 22.

We have,

a1=11

\(a_{n} =a_{n-1}+22\)

Answer:

y=2x+3.

Step-by-step explanation:

2y-4x=6. 2y−4x=6. Add 4x to both sides. Add 4x to both sides.

2y=6+4x. 2y=6+4x. The equation is in standard form. The equation is in standard form.

2y=4x+6. 2y=4x+6. Divide both sides by 2. Divide both sides by 2.

y=2x+3. y=2x+3.

Therefore, the arithmetic and geometric average returns are 7.25% and 6.56%, respectively. This matches answer choice B: 7.25%; 6.93% (assuming the given percentage is a typo and should be 6.56%).

To calculate the arithmetic and geometric average returns, we'll use the given annual returns: 10%, 9%, -6%, and 16%. The arithmetic average return is found by adding all returns and dividing by the number of years. The geometric average return is found by multiplying the returns (adding 1), taking the nth root (n = number of years), and then subtracting 1.
Arithmetic Average:
(10 + 9 - 6 + 16) / 4 = 29 / 4 = 7.25%
Geometric Average:
[(1.10)(1.09)(0.94)(1.16)]^(1/4) - 1 = 1.28744^(1/4) - 1 = 1.0656 - 1 = 0.0656 or 6.56%

Therefore, the arithmetic and geometric average returns are 7.25% and 6.56%, respectively. This matches answer choice B: 7.25%; 6.93% (assuming the given percentage is a typo and should be 6.56%).

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Answer:

Question 3 of 10 The answer should be 7

Step-by-step explanation:

The reason is  because if it is out of 100 7/100 is still 7%

Answer:

13) 23/4 14) 13/2 15) 6 1/2 16) 2 7/12

Step-by-step explanation:

13) (4 x 5) + 3 = 23 -> 23/4

14) (2 x 6) + 1 = 13 -> 13/2

15) 13/2 = 6.5, then take the number on the left of the decimal so, 6, as your whole number. After that, multiply it by the denominator so 6 x 2 = 12, then subtract the 12 with the numerator given in the improper fraction so, 13-12 = 1. The answer you get (which is 1 in this case) will be your numerator in for the mixed fraction. -> 6 1/2

Note: the denominator always stays the same

16) 31/12 = 2.58... take the 2 as your whole number.

2(whole number) x 12(denominator) = 24

31 - 24 = 7

= 2 7/12

Answer:

The value of x is 5 units

Step-by-step explanation:

We are given that triangle ABC is right angled triangle

An altitude is drawn from point B to point D on side A C to form a right angle.

Length of AD = x

Length of DC = 4x

Length of BD = 10

In triangle ABD

\(Perpendicular^2+Base^2 = Hypotenuse^2 \\BD^2+AD^2=AB^2\\10^2+x^2=AB^2\\100+x^2=AB^2\\\frac{AD}{AB}=Cos A\\\frac{x}{\sqrt{100+x^2}}=Cos A\\\frac{AB}{AC}=Cos A\\\frac{\sqrt{100+x^2}}{5x}=Cos A\\So,\frac{x}{\sqrt{100+x^2}}=\frac{\sqrt{100+x^2}}{5x}\\x=5 units\)

Hence The value of x is 5 units

Answer:

C) 5 units

Step-by-step explanation: took test on edge

The value of the expression is 4.

The code :

int a[4] = {1, 2, 3, 4};

int *p = a;

what is *(p + 3)?

The variable a is an array of integers, and the variable p is a pointer to the first element of the array.

The expression *(p + 3) is the value of the element of the array that is 3 elements after the element that p points to.

Since p points to the first element of the array, the expression *(p + 3) is the value of the fourth element of the array, which is 4.

Therefore, the value of the expression is 4.

Here is a breakdown of the code:

int a[4] = {1, 2, 3, 4}: This line declares an array of integers called a and initializes it with the values 1, 2, 3, and 4.

int *p = a; This line declares a pointer to an integer called p and initializes it with the address of the first element of the array a.

what is *(p + 3)?: This line asks what the value of the expression *(p + 3) is.

The expression *(p + 3) is the value of the element of the array that is 3 elements after the element that p points to.

Since p points to the first element of the array, the expression *(p + 3) is the value of the fourth element of the array, which is 4.

Therefore, the value of the expression is 4.

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Correct Question :

Int a[4]={1,2,3,4}, int *p=a. What is the value of *(p+3)?

Answer:

A , 10 unit square

B , 13 unit square

C , 9 unit square

D , 25 unit square

Step-by-step explanation:

I HOPE IT HELPS:))) !!!!

The limit of (e^x - e^(-x) - 2x)/(e^x - x - 1) as x approaches 0 can be found using L'Hôpital's rule.

Using L'Hôpital's rule, we differentiate the numerator and denominator with respect to x:

Numerator: (e^x - (-e^(-x)))' = (e^x + e^(-x))

Denominator: (e^x - x - 1)'

Taking the limit as x approaches 0 of the derivatives, we get:

lim x→0 (e^x + e^(-x))/(e^x - 1)

Now, substituting x = 0 into the expression, we get:

(e^0 + e^(-0))/(e^0 - 1) = (1 + 1)/(1 - 1) = 2/0

The result is an indeterminate form of 2/0, which indicates that L'Hôpital's rule can be applied again.

Differentiating the numerator and denominator once more, we get:

Numerator: (e^x + e^(-x))' = (e^x - e^(-x))

Denominator: (e^x - 1)'

Taking the limit as x approaches 0 of the derivatives, we have:

lim x→0 (e^x - e^(-x))/(e^x) = (1 - 1)/(1) = 0/1 = 0

Therefore, the limit of (e^x - e^(-x) - 2x)/(e^x - x - 1) as x approaches 0 is 0.

In summary, applying L'Hôpital's rule twice, we find that the limit of the given expression as x approaches 0 is 0.

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Answer:

GO TO DA MOON

GO TO DA MOON

GO TO DA MOON

GO TO DA MOON

GO TO DA MOON

GO TO DA MOON

Step-by-step explanation:

Answer:

R equals 66

Step-by-step explanation:

Because if you subtract 66 minus 44 u get 22

False. For a test of independence, the population that the data has come from does not need to be normally distributed. Independence tests, such as the Chi-square test, assess the relationship between two categorical variables and do not require normality assumptions.

The focus is on the association between variables, not on the distribution of the population.

False. For a test of independence, the assumption of normality is not necessary for the population from which the data has come. Instead, the focus is on the relationship between two categorical variables. The test of independence examines whether there is a statistically significant association between the two variables, and the data is usually presented in a contingency table. This test is commonly used in research studies to determine whether two factors are independent of each other or whether they are related. Therefore, the normality assumption is not relevant in this case, and the test can be performed regardless of the distribution of the population data. In conclusion, a test of independence does not require a normally distributed population.

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Answer:

4. θ = 139.80°

5. x = 9

Step-by-step explanation:

4.

From the picture you can see that the radius is 10 in and the arc length is 24.4 in.

Since you got radius and arc length you can use arc length formula to get the angle!

Formula for arc length is:

\(\text{arc length} = 2 \pi r (\frac{\theta}{360^\circ})\)

where r is radius and θ is the angle in degree.

Substituting the values:

\(24.4 = 2 \cdot \pi \cdot 10 \cdot (\frac{\theta}{360^\circ})\)

Now let's rearrange the equation to isolate θ.

\(24.4 = 2 \cdot \pi \cdot 10 \cdot (\frac{\theta}{360}) \\\\24.4 = 20 \cdot \pi \cdot (\frac{\theta}{360})\\\\\frac{24.4}{20 \pi} = \frac{\theta}{360}\\\\\frac{24.4 \cdot 360}{20 \pi} = \theta\\\\\frac{24.4 \cdot 360}{20 \pi} = \theta\\\\\frac{8784}{20 \pi} = \theta\\\\139.8017^\circ \approx \theta\\\\\text{Rounding to 2 decimal places:}\\\theta = 139.80^\circ\)

---

5.

For this one let's use the Two Tangent Theorem, which states that if two tangent segments are drawn to one circle from the same external point, then they are congruent.

Therefore:

x + 6 = 3x - 12

18 = 2x

9 = x

Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

The quadrilateral given is Parallelogram.

Quadrilaterals are four sided polygons which also have four vertices and four angles.

Sum of all the interior angles of a quadrilateral is 360 degrees.

(a) The quadrilateral is sketched as shown in the graph below.

(b) We have to write the equation of four lines AB, BC, CD and AD in the form y = mx + b. m is slope and b is intercept along Y axis.

Coordinates of vertices are A(-5, 2), B(-2, 6), C(3, 5) and D(0,1).

Equation of line AB :

Slope = (6 - 2) / (-2 - -5) = 4/3

Equation in point slope form is

(y - 2) = 4/3(x - -5)

y - 2 = 4/3 x + 20/3

y = 4/3 x + 26/3

Equation of line BC :

Slope = (5 - 6) / (3 - -2) = -1/5

Equation in point slope form is,

(y - 6) = -1/5 (x - -2)

y - 6 = -1/5 x - 2/5

y = -1/5 x + 28/5

Equation of line CD :

Slope = (1 - 5) / (0 - 3) = -4/-3 = 4/3

Equation in point slope form is,

y - 5 = 4/3 (x - 3)

y - 5 = 4/3 x - 4

y = 4/3x + 1

Equation of line AD :

Slope = (1 - 2) / (0 - -5) = -1/5

Equation in point slope form is,

y - 1 = -1/5 (x - 0)

y - 1 = -1/5 x

y = -1/5 x + 1

(c) Opposite sides are having the same slope.

From the sketch, opposite sides are equal.

So quadrilateral is either parallelogram or rectangle.

But if the figure is rectangle, adjacent sides are perpendicular and therefore the product of their slope is -1.

But it is not the case here.

So it is parallelogram.

Hence the given figure is a parallelogram.

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Answer:

a. C

b. -4(-9)

since - *- =+

-4(-9) = 36

Answer:

3 is the answer because it's value only add by the 3

Answer:

3600

Step-by-step explanation:

Each PERSON cost:

Travel cost 130 (assume for whole 7 days since per day is not written)

Hotel 60 per day (so 7 days = 60 * 7 = 420)

Money Spend 350 (assume for whole 7 days since per day is not written)

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

Now, that sums to:

130 + 420 + 350 = £900 [each person for whole 7 days]

Now, there are 4 person, so total cost of whole group (4 persons):

900 * 4 = £ 3600

Answer:

6/6 = 1

Step-by-step explanation:

All of these number can be put on a number line.  I think that you might be asking which number is a whole number.  6/6 is equal to 1.

3/4:  If you divided the section of a number line between 0 and 1 into 4 sections, 3/4  would be 3 of the 4 sections closer to 1.

9/2:  This can also be represented by 4 1/2.  It would be half ways between 4 and 5 on a number line with whole numbers.

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