type the correct answer in the box. use numerals instead of words. use / for the fraction bar. there are 57 houses on julian's street. of those houses, 12 have a skylight, 28 have a fireplace, and 5 have both a skylight and a fireplace. the probability, expressed as a fraction in the lowest terms, that julian lives in a house with a skylight or a fireplace is (what fraction in the lowest terms).

The output value of f( -3 ) in the function f(x) = x³ + 3x + 17 is -19.

Given the function in the question:

f(x) = x³ + 3x + 17

To evaluate f(-3) for the function f(x) = x³ + 3x + 17, we simply substitute -3 for x in the expression and calculate the result.

f(x) = x³ + 3x + 17

Plug in x = -3

f(-3) = (-3)³ + 3(-3) + 17

First, let's calculate (-3)³, which means raising -3 to the power of 3:

(-3)³ = -3 × -3 × -3 = -27

Next, let's calculate 3(-3):

3(-3) = -9

Now, we can substitute these values into the expression:

f(-3) = -27 + (-9) + 17

Simplifying further:

f(-3) = -27 - 9 + 17

f(-3) = -36 + 17

f(-3) = -19

Therefore, the output value of f(-3) is -19.

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The solutions to the questions are:

From the question, we have the following parameters that can be used in our computation:

The housing loses at a rate of 5.4% per year

The "loses at a rate" means that the function decreases with time

So, the function is a decay function

From the question, we have the following parameters that can be used in our computation:

The house was worth of 131,000 in 2009

This represents the initial value

So, the initial value is 131,000

This is the decay factor of the function

Recall that

The housing loses at a rate of 5.4% per year

So, we have

Base = 1 - 5.4%

Evaluate

Base = 0.946

We have

Initial = 131000

Base = 0.946

So, the function is

f(x) = 131000(0.946)ˣ

This means that x = 2019 - 2009

x = 10

So, we have

f(10) = 131000(0.946)^10

Evaluate

f(10) = 75193.90

Hence, the value is $75193.90

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Answer:

75%

Step-by-step explanation:

If he used 6 out of 8 gb of his cell phone plan we can write that as a fraction as 6/8.

We can simplify 6/8 to 3/4. And 3/4 when divided is equal to 0.75 which when written as a fraction is 75%.

I hope this helps!

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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The total number of rows in the Theater after 125 seats are added is 60 rows.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

The Outdoor theater currently has 1,375 seats.

If we add 125 new seats then the number of seats are

= 1375 + 125

= 1500

Each row have 25 seats in one row.

Then, the total number of rows in Theater

= 1500/25

= 60 rows.

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Answer: 22.4402

Step-by-step explanation:

Answer:

84.4% of 23 is 19.412.

Step-by-step explanation:

Let the unknown number be x.

Now, 84.4% of x = 19.412.

∴ (84.4 ÷ 100) × x = 19.412.

By simplifying the equation,

x = (19.412 × 100) ÷ 84.4

x = 1941.2 ÷ 84.4

∴ x = 23

Thus, 84.4% of 23 is 19.412.

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Answer:

number is 8

Step-by-step explanation:

let the number be n then trebling it ( multiplying it by 3 ) is 3n, then subtracting 6 from this is 3n - 6 , so

3n - 6 = 18 ( add 6 to both sides )

3n = 24 ( divide both sides by 3 )

n = 8

that is the number thought of is 8

Answer:

Please give brainliest

Step-by-step explanation:

c

\(\dfrac23 (3x +14) =7x+6\\\\\\\implies 3\left[\dfrac 23 (3x+14) \right] = 3(7x+6)\\\\\\\implies 2(3x+14) = 21x +18\\\\\implies 6x + 28 =21x +18\\\\\implies 21x -6x = 28-18\\\\\implies 15x = 10\\\\\implies x = \dfrac{10}{15} = \dfrac 23\)

Answer:

48 weeks

Step-by-step explanation:

189 / 14 = 47.25

If she doesnt get the allowance until the end of the week then she can't have .25 of a week.

Answer:

eight chairs.

Step-by-step explanation:

five quarts= 40/8 quarts

one chair= 5/8 quarts

40/8-5/8x=0

(-40/8)/(-5/8)=x

eight chairs

Answer:

Angle C

Step-by-step explanation:

By applying sine rule in the given triangle,

\(\frac{\text{sinB}}{CD}=\frac{\text{sinC}}{BD}=\frac{\text{sinD}}{BC}\)

\(\frac{\text{sinB}}{\text{sinC}}=\frac{\text{CD}}{\text{BD}}\)

Therefore, sides of the given triangle will be in the same ratio as the sine of the angles.

Since, BD > BC > CD

Therefore, Opposite angles of these sides will be in the same ratio.

∠C > ∠D > ∠B

Largest angle of the triangle is angle C.

The probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

To find the probability that a single randomly selected value is between 189.7 and 213, we can use the standard normal distribution.

Step 1: Calculate the z-scores for the given values using the formula:

  z = (x - μ) / σ

  For 189.7:

  z1 = (189.7 - 189.7) / 96.7 = 0

  For 213:

  z2 = (213 - 189.7) / 96.7 ≈ 0.2417

Step 2: Utilize a standard typical conveyance table or number cruncher to find the probabilities comparing to the z-scores.

  P(189.7 < X < 213) = P(0 < Z < 0.2417) ≈ 0.0939

Therefore, the probability that a single randomly selected value is between 189.7 and 213 is approximately 0.0939.

To find the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213, we use the central limit theorem. Under specific circumstances, the testing dispersion of the example mean methodologies a typical conveyance

Step 1: Calculate the standard error of the mean (σ_m) using the formula:

  σ_m = σ / sqrt(n)

  σ_m = 96.7 / sqrt(62) ≈ 12.2878

Step 2: Convert the given qualities to z-scores utilizing the equation:

  z = (x - μ) / σ_m

  For 189.7:

  z1 = (189.7 - 189.7) / 12.2878 = 0

  For 213:

  z2 = (213 - 189.7) / 12.2878 ≈ 1.8967

Step 3: Utilize a standard typical conveyance table or mini-computer to find the probabilities relating to the z-scores.

  P(189.7 < M < 213) = P(0 < Z < 1.8967) ≈ 0.9702

Therefore, the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

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Answer:

C) $12.00

Step-by-step explanation:

Take the price of the bill

78.20

Find 10 %

78.20 * .1

7.82

Take half ( which is 5%)

3.91

Add the two amounts together

7.82+3.91

11.73

Rounding to the nearest dollar

12.00

OR

Round the bill to 80.00

Take 15%

80 * .15

12.00

The total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.

In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.

To find the total number of atoms represented by Cd(CH₂CICO₂)₂, we need to count the number of atoms of each element in the molecule and add them up.

Cd(CH₂CICO₂)₂ contains:

1 cadmium (Cd) atom

2 carbon (C) atoms

6 hydrogen (H) atoms

4 oxygen (O) atoms

2 chlorine (Cl) atoms

Adding these up, we get:

1 + 2 + 6 + 4 + 2 = 15

Therefore, the total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.

The answer is (D) 15.

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Answer:

2

Step-by-step explanation:

solution at attachment box

a2/a1 =r

a3/a2=r

Answer:

Please check the explanation.

Step-by-step explanation:

Given the geometric sequence

a – 2, a, a + 4

so the expression to find the common ratio 'r' of the geometric sequence will be:

\(\:r\) ⇒ \(\frac{a}{a-2}=\frac{a+4}{a}\)

\(\frac{a}{a-2}=\frac{a+4}{a}\)

\(\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c\)

\(aa=\left(a-2\right)\left(a+4\right)\)

\(a^2=\left(a-2\right)\left(a+4\right)\)

\(a^2=a^2+2a-8\)

\(\mathrm{Subtract\:}a^2+2a\mathrm{\:from\:both\:sides}\)

\(a^2-\left(a^2+2a\right)=a^2+2a-8-\left(a^2+2a\right)\)

\(-2a=-8\)

\(\mathrm{Divide\:both\:sides\:by\:}-2\)

\(\frac{-2a}{-2}=\frac{-8}{-2}\)

\(a=4\)

so the ratio becomes

\(r=\:\frac{4}{4-2}=\frac{4}{2} =2\)

Hence, the common ratio 'r' will be:

\(r=2\)

VERIFICATION

so the sequence becomes

a – 2, a, a + 4

(4) - 2, 4, (4)+4     ∵ a=4

2, 4, 8

From the sequence it is clear that

4/2=8/4  ⇒ r

2=2    ⇒ r

Hence, the common ration 'r=2' is the same.

Therefore, the common ratio 'r' will be:

\(r=2\)

Answer: C.0

x + 45 is the angle outside the circle of shield 2 arcs with measurements 55 and 145

=> x + 45 = 1/2.(145 - 55)

⇔ x + 45 = 1/2. 90

⇔ x + 45 = 45

⇔ x = 0

Step-by-step explanation:

Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

To calculate your bi-weekly paycheck, follow these steps:

Step 1: Calculate the gross earnings:

Multiply the number of hours worked per week by the hourly rate.

20 hours/week * $9.00/hour = $180.00/week

Step 2: Calculate the total earnings for two weeks:

Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.

$180.00/week * 2 weeks = $360.00

Step 3: Calculate the deductions:

Calculate each deduction separately and subtract them from the gross earnings.

Federal Income Tax: $360.00 * 11.9% = $42.84

State Income Tax: $360.00 * 3.6% = $12.96

F.I.C.A: $360.00 * 7.65% = $27.54

Professional Dues: Amount varies depending on the specific dues.

Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues

Step 4: Calculate the net earnings:

Subtract the total deductions from the gross earnings.

Net Earnings = Gross Earnings - Total Deductions

Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.

It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.

Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.

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Answer:

The answer is $454.50

Step-by-step explanation:

Answer:

c = 25

Step-by-step explanation:

c = (10/2)² = 25

Answer:

A

Step-by-step explanation:

I am assuming you mean about the origin in that case it would be 3,2

because it is quad. 1 where both x and y are pos

if my answer helps please mark as brainliest.

Answer:

140

Step-by-step explanation:

140 is the first multiple that all 3 numbers share.

Answer is physiotherapist.

In order to pronounce it easily,

The pronunciation of:

• physician

fi-si-shi-an

• physiotherapist

fi-sio-ther-a-pist.

• physicist

fi-sis-t

• physiologist

fi-sio-logi-st

✍️ by Benjemin ☺️

The average weight of a male Florida panther rounded to the nearest whole number is 53 kg

What is average?

The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.

Average weight = 52.6 kg

52.6

The number after decimal point is 6 which is more than 5.

So add  1 to the 52, we get 53

Thus, the average weight of a male Florida panther rounded to the nearest whole number is 53 kg

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Answer:

$3900

Step-by-step explanation:

100*30=$3000

10%=0.1 ---> 3*0.1=0.3

3000*1.3=$3900

Answer:

330 approximately.

Step-by-step explanation:

The percentage lying between 2 standard deviations is 95%.

So we have 348 * 0.95 = 330 approximately.

The number of tons of cream chees  ordered by each supplier are 20 tones

The given parameters are

x = tons of CCC **AND** BBF (can use same variable for both since these amounts [CCC & BBF] are the same)

y = t

2x+y = 100                         <== tonnage

80x + 65x + 50y = 5900       <== cost

  2x +     y = 100   <== multiply all by -50

145x + 50y =  5900

-100x - 50y = -5000

145x + 50y = 5900

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

  45x  +   0   = 900

Making x the subject of the relation we have

x = 810/45 = 20 tones

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