The__ of a circle centered at the origin measures the distance from the origin to any point on the circle.

Answer:

443.418604651

Step-by-step explanation:

Thank you for the points!

Answer: 0.4

Step-by-step explanation:

Given: Cumulative exponential distribution:

\(P(x<k)=1-e^{\frac{-x}{k}}\)

As per given,

\(P(x<2)=1-e^{\frac{-2}{k}}=0.381\\\\\Rightarrow\ e^{\frac{-2}{k}}=1-0.381\\\\\Rightarrow\ e^{\frac{-2}{k}}=0.619\\\\\Rightarrow\ {\frac{-2}{k}}=\ln(0.619) \ \ \ [\text{Taking natural log on both sides }]\\\\\Rightarrow\ {\frac{-2}{k}}=-0.47965\\\\\Rightarrow\ k=\dfrac{2}{0.47965}\\\\\Rightarrow\ k=4.17\)

\(P(0.5 < X < 3) \\\\=P(X<3)-P(X<0.5) \\\\=(1-e^{-\frac{3}{4.17}})-(1-e^{-\frac{0.5}{4.17}}) \\\\=e^{-\frac{0.5}{4.17}}-e^{-\frac{3}{4.17}}\\\\= 0.4\)

Hence, the required probability = 0.4

Answer:

<

Step-by-step explanation:

To solve this correctly you need to remember how to compare integers.

Answer:

x = 14

Step-by-step explanation:

3/7 = 6/x

3(x) = 6(7)

3x = 42

x = 14

Answer:

3/7 = 6/x

3x = 6*7

3x = 42

x = 42/3

x = 14

I hope you can know this answer...

Thus, the length of ribbon bought by Milke is 28/3 yards (in proper fraction).

The sum of the whole number and a legal fraction is contained in a mixed fraction or number. Using the fundamental mathematical processes, we can change an improper fraction into such a mixed fraction. An incorrect fraction is one in which the numerator exceeds the denominator.

Given data:

Length of ribbon bought by Mike =  2 1/3 yards

Convert given mixed fraction in proper fraction:

= 2 1/3

= (2*3 + 1)/3

= 7/3 yards   ..eq 1

now, Jim bought 4 times the length of ribbon Mike bought.

multiplying eq 1 with 4

= 4* 7/3 yards

= 28/3 yards

Thus, the length of ribbon bought by Milke is 28/3 yards (in proper fraction).

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The following angles and length of sides for the given right triangle are-

1. m∠DGE = 45; 2. m∠EDG = 85; 3. FD = 10; 4. GD = 10√2; 5. EG = 28.34.

Alternative Interior Angles: Angles are created on the inside, the interior, of two other lines when a third line known as the transversal crosses them. These other lines are typically parallel. The alternate internal angles are those that are perpendicular to one another.

From the given angles on the figure:

1. m∠DGE = ?

m∠DGE = m∠BAD = 45 (alternate interior angles)

2. m∠EDG = ?

m∠EDG = 180 - 45 - 50 (angle sum property of triangle)

m∠EDG = 85

3. FD = ?

tan 45 = FD / FG

FD = 10 * tan 45

FD = 10

4. GD = ?

Cos 45 = FG / DG

DG = 10 / cos 45

DG = 10/ (1/√2)

DG =  10√2

5. EG = ?

EG = EF + FG

EF = 13 / cos 50

EF = 18.34

EG = 18.34 + 10 = 28.34

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Answer:

k = 36

Step-by-step explanation:

By exterior angle theorem:

\(k \degree + 110 \degree = 146 \degree \\ \\ k \degree = 146 \degree - 110 \degree \\ \\ k \degree = 36\degree \\ \\ k = 36\)

Answer:

The instantaneous rate is 36.

Step-by-step explanation:

Given the cost of producing a commodity,

\(C(x) = 7000 + 6x + 0.15x^{2}\)

Now calculate the average rate of change in cost of producing commodity.  

Use below formula to calculate average rate of change when (i) x = 103 $ per unit:

\(\text{Average rate of change} = \frac{C(103) – C(100) }{103 - 100} \\C(x) = 7000 + 6x + 0.15x^{2} \\C(100) = 7000 + 6 \times 100 + 0.15 (100)^{2} = 9100 \\C(103) = 7000 + 6 \times 103 + 0.15 (103)^{2} = 9209.35 \\\text{Average rate of change} = \frac{9209.35 - 9100}{103 - 100} = 36.45\)

Now calculate average rate of change when (ii) x = 101 $ per unit:

\(\text{Average rate of change} = \frac{C(101) – C(100) }{101 - 100} \\C(x) = 7000 + 6x + 0.15x^{2} \\C(100) = 7000 + 6 \times 100 + 0.15 (100)^{2} = 9100 \\C(101) = 7000 + 6 \times 101 + 0.15 (101)^{2} = 9136.15 \\\text{Average rate of change} = \frac{9136.15 - 9100}{101 - 100} = 36.15\)

Now to find the Instantaneous Rate of Change we just need to find the differentiation of given function.

\(C(x) = 7000 + 6x + 0.15x^{2} \\C’(x) = 6 + 0.3x \\\)

Instantaneous Rate of Change when x = 100

\(= 6 + 0.3 \times (100) \\= 36\)

for the purpose of pythagorean identity

What is pythagorean identity ?

We are shown sin as 10/51. You can square the Pythagorean Identity to get the following result:

(sin x)2 + (cos x)2 = 1

sin²x + cos²x = 1

Substituting sin = 10/√51, we get:

(10/√51)² + cos²x = 1

100/51 + cos²x = 1

cos²x = 1 - 100/51

cos²x = 51/51

cos x = √51/51

Cos 0 thus equals 51/51.

There is no need to simplify the fraction any more because it is already in its simplest form.

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Answer:

All angles are equal because all sided are equal so the 1st 1 is 60 .

the 2nd is 80

Answer:

c

Step-by-step explanation:

Answer:

Aaaaaaaaa because -1/3=0.3333

Work Shown:

48/120 = 0.40 = 40%

Answer:

40 percent of the club members attended

also is this a true drama club like a in real life?

Step-by-step explanation:

hope it helped mark me brainly

have a great day

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Answer:

maria has 9 and felipe has 7

Step-by-step explanation:

if felipe has 7 then 9+7=16

The adjusting journal entry will include a debit to the allowance for credit losses of R4,400.

the correct answer is C. debit to allowance for credit losses of R4,400.

To determine the adjusting journal entry for J&amp;L Electrical Services, we need to calculate the ending balance of accounts receivable and the necessary adjustment for the allowance for credit losses.

Beginning balance of accounts receivable: R200,000

Services delivered on credit: R660,000

Collections from debtors: R640,000

To find the ending balance of accounts receivable, we subtract the collections from the sum of the beginning balance and services delivered on credit:

Ending accounts receivable = (Beginning balance + Services delivered) - Collections

Ending accounts receivable = (R200,000 + R660,000) - R640,000

Ending accounts receivable = R220,000

Now, we need to calculate the adjustment for the allowance for credit losses. J&amp;L Electrical Services estimates that 2% of the ending accounts receivable will not be collected:

Allowance for credit losses adjustment = Ending accounts receivable * Estimated uncollectible percentage

Allowance for credit losses adjustment = R220,000 * 2% = R4,400

Since the allowance for credit losses has a beginning balance of R4,000, we need to increase it by R4,400 to match the estimated uncollectible amount:

the correct answer is C. debit to allowance for credit losses of R4,400.

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Answer:

S₁₆ = 344

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = - 1 and d = a₂ - a₁ = 2 - (- 1) = 2 + 1 = 3 , then

S₁₆ = \(\frac{16}{2}\) [ (2 × - 1) + (15 × 3) ]

     = 8 (- 2 + 45)

     = 8 × 43

     = 344

Answer: Answers and work are all in the picture that I attached. Hope this helps

Answer:

-6

Step-by-step explanation:

Cuz it’s negative?

Answer:

-6 I think

Negative numbers are not whole numbers.

The area of the kite is A = 48 units²

Given data ,

Let the area of the kite be represented as A

Now , the value of A is

Let the first diagonal of the kite be d₁ = 12 units

Let the second diagonal of the kite be d₂ = 8 units

Now , Area of kite = ( 1/2 ) d₁ x d₂

On simplifying , we get

A = ( 1/2 ) ( 12 ) ( 8 )

A = 48 units²

Therefore , the value of A is A = 48 units²

Hence , the area of the kite is A = 48 units²

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Answer:

b.) x= 6, m∠XOY= 18

Step-by-step explanation:

comment if u need explanation :))

a) The estimate of the proportion of defectives when the process is in control is 0.054

b) The standard error of the proportion if the sample size is 100 is 0.0226.

c) The upper control limit is 0.1218 and the lower control limit is 0 (since LCL < 0 and p > 0, we can write LCL = 0).

1) The estimate of the proportion of success is

p = (number of success)/(total number of samples)

I.e., p = x/N

2) The standard deviation of the proportion of success is

\(\sigma_p = \sqrt{\frac{p(1-p)}{n} }\)

3) The upper and lower control limits for a control chart are:

L.C.L = p - 3\(\sigma_p\)

and U.C.L = p + 3\(\sigma_p\)

It is given that, there are 25 samples of 100 items each.

So, the total number of items i.e., the total sample size,

N = 25 × 100 = 2500

In 25 samples, a total of 135 items were found to be defective.

So, the number of defectives x = 135

a) The estimate of the proportion of defectives is p = x/N

On substituting, we get

p = 135/2500 = 0.054

b) The standard error of the proportion if the sample of size 100 is calculated by

\(\sigma_p = \sqrt{\frac{p(1-p)}{n} }\)

On substituting p = 0.054 and  n = 100, we get

\(\sigma_p = \sqrt{\frac{0.054(1-0.54)}{100} }\)

    = 0.0226

c) The control limits for the control chart are:

Upper control limit =  p + 3\(\sigma_p\)

⇒ U.C.L = 0.054 + 3(0.0226) = 0.054 + 0.0678 = 0.1218

Lower control limit = p - 3\(\sigma_p\)

⇒ L.C.L = 0.054 - 3(0.0226) = 0.054 - 0.0678 = - 0.0138 ≈ 0

(Since we know that the lower control limit should not be a negative value, it is made equal to 0).

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Sorry answered for more points for more questions I'm so sorry.

Answer:

\(p(x) = -0.01x + 15\)

Step-by-step explanation:

Given

Let x represent the number of tickets, and p the charges

\((x_1,p_1) = (500,10)\)

A reduction of 50c gives an increment of 50 tickets.

This gives:

\((x_2,p_2) = (500+50,10-0,5)\) ---- \(50c = \$0.5\)

\((x_2,p_2) = (550,9.5)\)

Required

Determine the demand function

First, calculate the slope:

\(m = \frac{p_2 - p_1}{x_2 - x_1}\)

\(m = \frac{9.5 - 10}{550-500}\)

\(m = \frac{-0.5}{50}\)

\(m = -0.01\)

So, the equation is:

\(p = m(x - x_1) + y_1\)

\(p = -0.01(x - 500) +10\)

\(p = -0.01x + 5 +10\)

\(p = -0.01x + 15\)

Hence, the function is:

\(p(x) = -0.01x + 15\)

The motor oil dealer will have to use both tanks since he needs 15 gallons of oil but will still be short by one gallons.

The motor oil dealer will have to use both tanks since he needs 15 gallons of oil but will still be short by one gallons.

A motor oil store has two tanks: one holds 12 gallons of oil, and the other holds 2 gallons of oil. In order to determine which tank will require to fill the bottles, the following computation must be done:

Quarts to gallons is 4 to 1.

1/4 x 60 = X

60/4 = X

15 = X

Since the motor oil vendor requires 15 gallons of oil, he must use both tanks but will still be short by 1 gallons

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9514 1404 393

Answer:

  5.  4√2 N

  6. 20 N

Step-by-step explanation:

We're not sure how your diagram relates to the notion of the weight being "pushed". Usually T represents "tension," which would indicate a "pull" in up and to the right.

__

5. The side ratios in this triangle match exactly those in your problem 1. T is √2 times the equal side lengths, so is T = 4√2 N.

__

6. The sides ratios in the triangle match exactly those in your problem 2. T is 2 times the shorter side length, so is T = 20 N.

The amount in year 6 is $1282.5.

What is simple interest?

Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given,

rate of interest = 7%

time = 1 year

Amount on first year = $950

First we will calculate simple interest for 5 years, because amount is available for 1 year.

SI =PRT

SI = 950(7/100)1

SI = $332.5

Therefore, the amount after 6 years = 950+332.5

=$1282.5

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Answer:

The uniform rate of depreciation is $56,333 per year, or 11% per year.

Step-by-step explanation:

Rate of Depreciation

If some object has a certain value P and after some time t its value decreases to Q, the rate of depreciation is a measure of how much its value changed per unit time.

It can be calculated as:

\(\displaystyle R=\frac{P-Q}{t}\)

It can also be expressed as a percentage, dividing the previous value by P.

The school bus reduces its value from $512,000 to $343,000 in 3 years, thus:

\(\displaystyle R=\frac{512,000-343,000}{3}\)

\(\displaystyle R=\frac{169,000}{3}\)

R = 56,333 $/year

Expressed as a percentage:

R = 56,333 / 512,000 = 0.11

R = 11%/year

The uniform rate of depreciation is $56,333 per year, or 11% per year.

f(x) is discontinuous.

Since LHS ≠ RHS ≠ f(x).

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

here, we have,

We have,

f(x) = x + 1, for x ≤ 2

f(x) = 2x - 1, for 1 < x < 2

f(x) = x - 1, for x < 1

Now,

A x = 1

LHS of f(x) = lim f((h - 1)) =  (h - 1 - 1) = 0 -2 = -2

RHS of f(x) = lim  f(h + 1) =  (2(h + 1) - 1) = 2h + 2 - 1 = 0 + 1

f(1) = x + 1 = 1 + 1 = 2

We see that,

LHS ≠ RHS ≠ f(x)

So,

f(x) is not continuous, it is discontinuous.

Thus,

f(x) is discontinuous.

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The complete question.

Show that the following functions are continuous or discontinuous at x = 1.

f(x) = x + 1, for x ≤ 2

f(x) = 2x - 1, for 1 < x < 2

f(x) = x - 1, for x < 1

Answer:

4y

Step-by-step explanation:

y - -3y

Subtracting a negative is like adding

y+3y

Combine like terms

4y

Answer:

\(4y\)

Step-by-step explanation:

\(y - ( - 3y) \\ y + 3y \\ = 4y\)

hope this helps

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