One side of a rectangle is 8 cm and the perimeter is 48 cm. Find the area.

Answer:

284 \(ft^{2}\)

Step-by-step explanation:

Area of triangle = bh/2 = 4(8)/2 = 16

Area of both triangles = 32

Area of left face = bh = 8(12) = 96

Area of right face = bh = 9(12) = 108

Area of bottom = bh = 4(12) = 48

Total lateral area = 32 + 96 + 108 + 48 = 284

Answer:

\(d \: is \: correct\)

Answer:

a. y = -2x-5

Step-by-step explanation:

*Don't get confused the y-axis scale is 2

I guess you would kind of have to guess by looking at the graph for this one, the y-intercept is 5.

The graph is negative because it is pointing the opposite way

The slope is 2 because the y-axis has a scale of 2

With these facts you can formulate that the equation would be y = -2x-5

Answer: Distributive hope this helps.

Step-by-step explanation:

Answer:

Distributive

Step-by-step explanation:

I took the test and got it right.

Answer:

m∠1 =  81

m∠2 =  99

Step-by-step explanation:

The angles are supplemaentary and therefor sum to 180

3x + (x + 72) = 180

4x + 72 = 180

4x = 108

x = 27

m∠1 = 3x

m∠1 = 27(3)

m∠1 =  81

m∠2 = x + 72

m∠2 = 27 + 72

m∠2 =  99

Answer:

6x-4y+0 is the linear equation

Answer:

$40.80

Step-by-step explanation:

First, convert the 20% to an actual number that can be used in a calculation. For percent, this is always done by simply dividing the percent, in this case, 20%, by 100%. So, the conversational term "20%" becomes 20% / 100% = 0.20 in terms of a real mathematical number.

Second, you need to find out what 20% of your $34.00 meal cost is. This is always done by multiplying 0.20 by $34.00, or 0.20 x $34.00=$6.80. So, the amount of tip you are going to leave is $6.80.

This makes the total cost of your meal (to write on your charge slip or other payment)

$34.00 + $6.80 = $40.80.

Answer:

$40.80

Step-by-step explanation:

If you pay for the original cost of the dinner AND leave a 20% tip then the total amount paid will be 120% of the original cost (100% + 20% = 120%).

Convert 120% into a decimal:  120% = 120/100 = 1.2

So 120% of $34.00 = 1.2 × 34 = $40.80

Correction:

P(AΔB) = P(A) + P(B) - 2P(AnB)

is what could be proven using the axioms of probability, and considering the case of symmetric difference given.

Answer:

P(AΔB) = P(A) + P(B) - 2P(AnB)

Has been shown.

Step-by-step explanation:

We are required to show that

P(AUB) = P(A) + P(B) - 2P(AnB)

directly using the axioms of probability.

Note the following:

AUB = (AΔB) U (AnB)

Because (AΔB) U (AnB) is disjoint, we have:

P(AUB) = P(AΔB) + P(AnB)..................(1)

But again,

P(AUB) = P(A) + P(B) - P(AnB)...............(2)

Comparing (1) with (2), we have

P(AΔB) + P(AnB) = P(A) + P(B) - P(AnB)

P(AΔB) = P(A) + P(B) - 2P(AnB)

Where AΔB is the symmetric difference of A and B.

When we evaluate the given expression, A/5 + √(B - C), the result obtained is 9 (option B)

First, we shall determine the value of A. Details below:

Quadratic equation is expressed as:

x² - (sum of root)x + product of root

Comparing the above with x² - 11x + 30, we have

x² - 11x + 30 = x² - (sumof root)x + product of root

Product of roots = 30

Thus,

A = 30

Next, we shall determine the value of B. details below:

f(x) = x² + 5

f(2) = 2² + 5

f(2) = 9

Thus,

B = 9

Next, we shall determine the value of C. Details below:

Let

x + 4 = 0

Thus,

x = -4

Substitute the value of x into x² - 2x - 24 to obtain the remainder as shown below:

Remainder = x² - 2x - 24

Remainder = (-4)² - 2(-4) - 24

Remainder = 0

Thus,

C = 0

Finally, we shall determine value of A/5 + √(B - C). Details below:

A/5 + √(B - C) = 30/5 + √(9 - 0)

A/5 + √(B - C) = 6 + √(9

A/5 + √(B - C) = 6 + 3

A/5 + √(B - C) = 9

Thus, the value of A/5 + √(B - C) is 9 (option B)

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Answer:

Table of Annual CPI values

2003-184.00            

2004-188.90

2005-195.3

2006-201.6

2007-207.342

2008-215.303

2009-214.537

2010-218.056

2011-224.939

2012-229.594

2013-232.957

2014-236.736

QRINC offered new employees a starting salary of $34,862 in 2013. What would a comparable starting salary have been in 2003?

Answer:

Step-by-step explanation:

From the question we are told that

CPI for 2003(index)=2003-184.00  

CPI for 2013(index)=2013-232.957  

Starting salary in 2013 at $34,862

Generally  comparable starting salary C is given as

Therefore C the comparable starting salary is givrn to be

Step-by-step explanation:

Answer:Can you find the sum [5.5 + (-2.3)] + (-5.5 + 2.3) without performing any additions? - Slader.

1 answer

Missing: 7.25-5.5 ‎7.25)

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

The equation to use for CONTINUOUS compounding is :

FV = PV e^(it)

18532.08 = 8327 * e^( i*10)        where i is the interest in decimal form

18532.08/8327  = e^(10i)

2.225541 = e^(10i)             now take natural log  (ln) of both sides to get

.8000 = 10i

i = .08     or 8% interest

Answer:

What the feek?

Step-by-step explanation:

The remainder is 5 + c, which means that the expression P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) divided by (x + 1) results in a quotient of\(5x^3 + 2x^2 - 4x + 4\) and a remainder of 5 + c.

To divide the polynomial P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) by the binomial (x + 1), we can use polynomial long division.

Let's set up the long division:

    \(5x^3 + 2x^2 - 4x + 4\)

_______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

We start by dividing the highest degree term of the dividend (5x^4) by the divisor (x + 1), which gives us 5x^3. We then multiply this quotient by the divisor (x + 1) and subtract it from the dividend:

              \(5x^3(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

- (\(5x^3 + 5x^2)\)

This leaves us with a new polynomial:\(2x^3 - 7x^2 - 3x + c\). We repeat the process by dividing the highest degree term of this polynomial (2x^3) by the divisor (x + 1), resulting in 2x^2. We then multiply this quotient by the divisor and subtract it from the polynomial:

              \(5x^3(x + 1) + 2x^2(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

-\((5x^3 + 5x^2)\)

_______________________

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

We continue this process until we reach the constant term, resulting in the remainder of the division.

At this point, we have:

               \(5x^3(x + 1) + 2x^2(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

- \((5x^3 + 5x^2)\)

_______________________

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

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

_______________________

- 5x + c

- (-5x - 5)

_______________________

5 + c

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Calculator display = 0.33333333

Is this the exact decimal equivalent? No

==========================================================

Explanation:

1/3 = 0.33333333.... where the 3's go on forever. The calculator of course can't display infinitely many 3's. At some point, it will stop even if they theoretically go on forever.

We can prove we have this pattern by using long division.

To shorten things, we write \(0.\overline{3}\) to tell the reader "the 3s go on forever". The horizontal bar tells us which digit(s) repeats forever. This is the exact decimal version.

The calculator can only display a finite number of digits, so it is impossible to have the approximate calculator display be the same as the exact decimal equivalent.

Some other examples:

\(0.\overline{12} = 0.12121212\ldots\\\\0.\overline{687} = 0.687687687\ldots\\\\0.1\overline{6} = 0.166666\ldots\\\\0.00\overline{83} = 0.0083838383\ldots\)

Answer:

1. y=3x

2. y=1x

3. y=7x

4. y=1x+7

5. y=3x-3

6. y=12x+2

Step-by-step explanation:

Hope this helps!

Answer:

12

Step-by-step explanation:

To find how many hours, you need to divide by 6.25.

75 / 6.25 = 12.

Looking at the orientation of each figure, first we need a reflection over the y-axis, this way the orientation of ABCD will match the orientation of EHGF.

After this reflection, the position of each point will be:

(To find the position after a reflection over the y-axis, we need to switch the signal of the x-coordinates)

Now, let's write the coordinates of EHGF:

Comparing each corresponding pair of points, we can see that in order to map A'B'C'D' into EHGF, we need to decrease the x-coordinates by 4 units and decrease the y-coordinates by 4 units:

Therefore the answers are y, -4 and -4.

c) Mode: 15 (appears 6 times)

Mean: 15.25

Median: 15

d) Probability of being 13 years old: 2/20 = 0.1 or 10%

e) Probability of being 14 or 16 years old: 6/20 = 0.3 or 30%

f) Probability of not having 15 years old: 1 - (6/20) = 14/20 = 0.7 or 70%

a) To create a table and calculate the absolute frequency, relative frequency, and percentual frequency, we organize the given ages in ascending order:

13 13 14 14 15 15 15 15 15 16 16 17 17 17 18 18

Age Absolute Frequency Relative Frequency Percentual Frequency

13 2 2/16 12.5%

14 2 2/16 12.5%

15 5 5/16 31.25%

16 2 2/16 12.5%

17 3 3/16 18.75%

18 2 2/16 12.5%

b) To represent the data graphically with a histogram, we plot the ages on the x-axis and the absolute frequency on the y-axis:

c) To calculate the mode, mean, and median:

Mode: The mode is the most frequently occurring age in the dataset. In this case, the mode is 15, as it appears 5 times.

Mean: The mean is the average of all the ages. To calculate it, we sum up all the ages and divide by the total number of ages:

(13 + 13 + 14 + 14 + 15 + 15 + 15 + 15 + 15 + 16 + 16 + 17 + 17 + 17 + 18 + 18) / 20 = 306 / 20 = 15.3

Median: The median is the middle value in the dataset when arranged in ascending order. In this case, the median is 15 since it falls in the middle.

d) To calculate the probability of having 13 years old, we divide the absolute frequency of 13 (2) by the total number of ages (20):

Probability of 13 years old = 2/20 = 0.1 or 10%

e) To calculate the probability of having 14 or 16 years old, we add the absolute frequencies of 14 and 16 (2 + 2 = 4) and divide by the total number of ages (20):

Probability of 14 or 16 years old = 4/20 = 0.2 or 20%

f) To calculate the probability of not having 15 years old, we subtract the absolute frequency of 15 (5) from the total number of ages (20):

Probability of not having 15 years old = (20 - 5)/20 = 0.75 or 75%

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The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Answer:

7/11 are boys

Step-by-step explanation:

You add the total amount of students then put the number of boys in the numerator.

Brainliest please

Answer:

\(\frac{7}{11}\)

Step-by-step explanation:

Ratio

7:4

Boys = 7

4 = Girls

________

When solving ratios, we need to get the denominator of the fraction, which can be found by finding the total of students in the school. There are 7 boys and 4 girls, so add :

7 + 4

11

So there are 11 kids in total and 11 is our denominator. Since we know that 7 boys are in the school, we can put 7 as our numerator, therefore :

\(\frac{7}{11}\)

The unknown angle in the cyclic quadrilateral is as follows:

m∠CML = 109 degrees

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle.

The sum of angles in a cyclic quadrilateral is 360 degrees.

Therefore, let's find m∠CML as follows:

Using the arc angle and opposite angle of a quadrilateral theorem,

6x + 25 = 1 / 2 (7x + 14 + 106)

6x + 25 = 1 / 2(7x + 120)

6x + 25 = 7 / 2 x + 60

6x - 7 / 2 x  = 60 - 25

6x - 3.5x = 35

2.5x = 35

divide both sides by 2.5

x = 35 / 2.5

x = 14

Therefore,

m∠CML = 6x + 25 = 6(14) + 25 = 84 + 25 = 109 degrees

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Answer:

\(1\)

Step-by-step explanation:

Universal set contains all elements and of which all other sets are subsets.

Based on the information provided, the missing number would be number 6.

When it comes to finding missing numbers, the first step is to decipher or identify the pattern. This can be either a sequence of numbers or the application of a specific mathematical operation such as subtraction or addition.

In this case, we can see there is a sequence of numbers that seems to go from 1 to 9. However, if you check carefully, the number 6 is missing, which is the number you need to add.

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9514 1404 393

Answer:

Step-by-step explanation:

The first part of the question appears to be answered already:

  The sale price is 75% % of the regular price.

__

The equation representing this fact is ...

  s = 0.75(35)

Answer:

3x - 2

Step-by-step explanation:

5x +1 -2x -3    Combine like factors with x

5x -2x = 3X

3x +1 -3         Combine like factors without x

1 -3 = -2

Step-by-step explanation:

each week kyle saves $5.00

Answer

61

Step-by-step explanation:

subtract 180-73.8-46.2

Answer:

The value of z is 26.6

Step-by-step explanation:

72.6 - 46.2=26.6

Answer:618.014

Step-by-step explanation: It may look like hundredths which is where must people mess up but it is instead thousandths.

Airplane 1 had the fastest rate of descent during its landing.

To compare the rates of descent of the two airplanes, we need to convert both rates to a common unit of measurement. Let's convert both rates to feet per minute (ft/min) to make the comparison easier.

Airplane 1 had a rate of descent of -130 ft/s, which is equivalent to:

-130 ft/s × 60 s/min = -7800 ft/min

Airplane 2 had a rate of descent of -97/8 ft/s, which is equivalent to:

(-97/8) ft/s × 60 s/min = -729.375 ft/min

Comparing these two rates, we can see that Airplane 1 had the faster rate of descent during its landing:

-7800 ft/min (Airplane 1) > -729.375 ft/min (Airplane 2)

Therefore, Airplane 1 had the fastest rate of descent during its landing.

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