The tens digit of a certain number is 2 less than the units digit. The sum of the squares of the two digits is 34. Find the number.

The earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

a. The earnings per share for Company XYZ can be calculated by dividing the closing price by the P/E ratio. In this case, the closing price is $100.76 and the P/E ratio is 1525. Therefore, the earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

b. Based on the historical P/E ratio range of 12-14, the stock price of Company XYZ seems overpriced. The P/E ratio indicates the price investors are willing to pay for each dollar of earnings generated by the company. A higher P/E ratio suggests that investors have higher expectations for future earnings growth. In this case, the P/E ratio of 1525 is significantly higher than the historical range of 12-14, indicating that the stock is being valued at a much higher premium relative to its earnings. This suggests that the stock price may be inflated and not in line with the company's historical valuation metrics, indicating an overpriced condition.

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Is the relation a function:

To determine if the relation is a function, we need to check if there is exactly one output for each input.

Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).

This means that there are two outputs for the same input, so the relation is not a function.

Therefore, the correct answer is: "No, because for each input there is not exactly one output."

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Answer:Joints

Step-by-step explanation:

It is likely the joining point so it is so help ful

Answer:

525

Step-by-step explanation:

So its 25 a day and hes doing it for 21 days because 7*3=21.

so 25*21= 525

Answer:

try (4,5)

Step-by-step explanation:

that is where the points meet I think it is that I am not sure sorry if it is wrong

We can see here that the solutions to the triangles are:

1. 62.2°.

2. 35.9°

3. 61.9°

4. 53.1°

We can see here that using trigonometric ratio formula, we find the values of x.

We see the following:

1. Cos x = 7/15 = 0.4666

x = \(cos^{-1}\) 0.4666 = 62.2°.

2. Sin x = 27/46 = 0.5869

x° = \(sin^{-1}\)  0.5869  = 35.9°

3. Sin x = 30/34 = 0.8823

x° = \(sin^{-1}\) 0.8823 = 61.9°

4. Tan x = 8/6 = 1.3333

x° = 1.3333 = 53.1°

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An angle has its vertex at the center of the circle the area it subtended is numerically the same as the arc length. Therefore, the radius of the circle is 1 radian, or 57.29 degrees.

Let's consider a circle having radius as r units.

The circumference subtends an angle of 360° or 2π radians at the center.

Now,  take the ratio.

Here, x is the unknown angle subtends by the arc of length equal to radius.

2πr ÷ r

= 2π÷x

⇒ x =1 radian.

Or in degrees

2πr ÷ r

=360°÷x

x= 360°÷2π

 = 360° ÷ 6.28

 = 57.29 degrees.

Therefore, the radius is 57.29 degrees or 1 radian.

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Answer: C Omar did not make a mistake.

Answer:

OPTION C : omar didn't make a mistake

Step-by-step explanation

\(\frac{3x}{3}\) = \(\frac{4.5}{3}\)  is equal to 1.5

so x = 1.5

Answer:

0.008 or 1/125

Step-by-step explanation:

Answer:

\(5^{-3}\) in scientific notation would be \(8*10^{-3}\).

Step-by-step explanation:

An integer to the power of a negative number is equivalent to one over that base to the power of the positive exponent. In this case, \(5^{-3}\) would be \(\frac{1}{5^{3}}\) or \(\frac{1}{125}\), which equals 0.008. Scientific notation is a way to express a number in the form of \(a * 10^{b}\) where \(a\) is greater than or equal to 1 but less than 10. We know that 8 would be the value of \(a\), so all you need to know is the value of \(b\). Because \(10^{-3}\) is equivalent to 0.001, and multiplied by 8 is equivalent to 0.008, that means \(5^{-3}\) in scientific notation would be \(8*10^{-3}\).

To determine whether the set of solutions y1, y2, ..., yk is linearly dependent or not, we need to calculate the Wronskian W(y1, y2, ..., yk) and check whether it is zero for some x in (-[infinity], [infinity]). If it is never zero, then the set of solutions is linearly independent. If it is zero for some x, then the set of solutions is linearly dependent.

To determine whether the set of solutions y1, y2, ..., yk is linearly dependent or not, we can use the Wronskian determinant. The Wronskian of a set of k functions is defined as:

W(y1, y2, ..., yk) = det [y1, y2, ..., yk; y1', y2', ..., yk'; ..., ..., ..., ...; y1^(k-1), y2^(k-1), ..., yk^(k-1)]

where y1', y2', ..., yk' are the first derivatives of y1, y2, ..., yk, respectively, and y1^(k-1), y2^(k-1), ..., yk^(k-1) are their (k-1)th derivatives.

If the Wronskian is nonzero for all x in (-[infinity], [infinity]), then the set of solutions is linearly independent. If the Wronskian is zero for some x in (-[infinity], [infinity]), then the set of solutions is linearly dependent.

Therefore, to determine whether the set of solutions y1, y2, ..., yk is linearly dependent or not, we need to calculate the Wronskian W(y1, y2, ..., yk) and check whether it is zero for some x in (-[infinity], [infinity]). If it is never zero, then the set of solutions is linearly independent. If it is zero for some x, then the set of solutions is linearly dependent.

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Answer:

\(x = \frac{c-b}{a}\)

Step-by-step explanation:

To solve for x, x needs to be on one side while all the other variables are on the other

To do this first subtract b from each side making the equation,

ax = c - b

Now divide by a on both sides. This means that to solve for x the equation must be ...

\(x = \frac{c-b}{a}\)

The integral ∫(0 to 3) x^2 dx can be written as the limit of a Riemann sum as the number of subintervals approaches infinity.

To evaluate the limit, we can use the formula for the sum of the squares of the first n natural numbers:

Σ(i=1 to n) \(i^2\) = n(n + 1)(2n + 1)/6

In this case, the integral is from 0 to 3, so a = 0 and b = 3. Therefore, the width of each subinterval is Δx = (3 - 0)/n = 3/n.

Plugging these values into the Riemann sum formula, we have:

∫(0 to 3) x^2 dx = lim (n→∞) Σ(i=1 to n) \((iΔx)^2\)

= lim (n→∞) Σ(i=1 to n) \((3i/n)^2\)

= lim (n→∞) Σ(i=1 to n) \(9i^2/n^2\)

Applying the formula for the sum of squares, we have:

= lim (n→∞) (\(9/n^2\)) Σ(i=1 to n)\(i^2\)

= lim (n→∞) (\(9/n^2\)) * [n(n + 1)(2n + 1)/6]

Simplifying further, we get:

= lim (n→∞) (\(3/n^2\)) * (n^2 + n)(2n + 1)/2

= lim (n→∞) (3/2) * (2 + 1/n)(2n + 1)

Taking the limit as n approaches infinity, we find:

= (3/2) * (2 + 0)(2*∞ + 1)

= (3/2) * 2 * ∞

= ∞

Therefore, the value of the integral ∫(0 to 3) x^2 dx is infinity.

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The value of -4(7/10) - 9(7/15) is -85 / 6.

A fraction represented with its quotient and remainder is a mixed fraction.

For example:

3 4/5 is a mixed fraction, where 3 is the quotient, and 4 is the remainder.

We have,

-4(7/10) - 9(7/15)

Convert each term into a proper fraction.

4 7/10 = (40+7) / 10 = 47 / 10

9 7/15 = (135 + 7) / 15 = 142 / 15

Now,

= -47 / 10 - 142 / 15

The LCM of 10 and 15 is 30

= [3 x (-47) - (2 x 142)] / 30

= (-141 - 284) / 30

= -425 / 30

We can divide by a common factor of 5

= - 85 / 6

Thus the value of -4(7/10) - 9(7/15) is -85 / 6.

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The complete question is

Evaluate -4(7/10) - 9(7/15)

Answer:

⅔h – 5 = 11

Step-by-step explanation:

         h = babysitting hours last week

     ⅔h = two-thirds of those hours

⅔h - 5 = five hours fewer than two-thirds of those hours

⅔h – 5 = 11

The equation is ⅔h – 5 = 11.

For the given figure, we will prove the triangles BGH and BDH are congruent.

So, the proof will be as follows:

Statement Reason

1) m∠F = m∠FEG = m∠FGE Given

2) ΔFGE is an equilateral triangle from (1), the definition of an equilateral Δ

3) FG = GE from (2), the definition of equilateral Δ

4) FG = ED Given

5) m∠ GEH = m∠DEH Given

6) EH = EH Reflexive property

7) ΔGEH ≅ Δ DEH SAS postulate

8) GH = DH from (7) CPCTC

9) m∠GHE = m∠DHE from (7) CPCTC

10) m∠GHB = m∠DHB Definition of supplementary angles

11) HB = HB Reflexive property

12) ΔBGH ≅ ΔBDH SAS postualte

13) ΔAGB is an isosceles Δ Given

14)AG = AB Definition of isosceles Δ

15) ΔBCD is an isosceles Δ Given

16) CB = CD Definition of isosceles Δ

17) CB = AG Given

18) m∠CDB = m∠CBD Definition of isosceles Δ

19) m∠ABG = m∠AGB Definition of isosceles Δ

20) m∠CDB = m∠AGB Given

21) m∠ABG = m∠CBD Transitive property

22) Δ AGB ≅ ΔCBD AAS postualte

The next step in the process of constructing parallel line CD is C. Set the compass width to the distance between point E and where the arc crosses line AB.

It's important to draw a line parellel to line AB. Then, on should set compasses' width to the distance where the lower arc crosses the two lines.

After that, it's vital to move the compasses to where the upper arc crosses the transverse.

In conclusion, the correct option is C.

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Answer:

The answer is A

Step-by-step explanation:

Answer:

916110

Step-by-step explanation:

39*27*29*30

The mean household income in Ada County, Idaho, ($58,300) is not significantly different from that in Cameron Parish, Louisiana ($56,600).

To determine whether the mean household income in Ada County, Idaho, is the same as in Cameron Parish, Louisiana, we can conduct a hypothesis test.

Null Hypothesis (H₀): The mean household income in Ada County is equal to the mean household income in Cameron Parish.

Alternative Hypothesis (H₁): The mean household income in Ada County is not equal to the mean household income in Cameron Parish.

We can use a two-sample t-test to compare the means of the two samples. Here, we have two independent samples with known means, standard deviations, and sample sizes.

Let's calculate the test statistic and p-value using the provided data:

Sample 1 (Ada County):

Standard deviation (s1) = $9,000

Sample size (n1) = 18

Sample 2 (Cameron Parish):

Standard deviation (s2) = $15,600

Sample size (n2) = 20

Substituting the values:

t = (58,300 - 56,600) / √((9,000²/18) + (15,600²/20))

Calculating the numerator and denominator:

t ≈ 1700 / √((810,000 + 1,209,600))

t ≈ 1700 / √(2,019,600)

t ≈ 1700 / 1,421.819

t ≈ 1.195

To determine the p-value associated with the test statistic, we would need the degrees of freedom and consult a t-distribution table or use statistical software.

Without the specific degrees of freedom and given that the sample sizes are relatively small (less than 30), it is challenging to provide an exact p-value. However, based on the test statistic, we can make a general conclusion:

If the calculated p-value is less than the chosen significance level (commonly 0.05), we would reject the null hypothesis. If the p-value is greater than or equal to the chosen significance level, we would fail to reject the null hypothesis.

By conducting the two-sample t-test, we can determine whether there is sufficient evidence to support the researcher's claim that the mean household income in Ada County is the same as in Cameron Parish. However, without the specific degrees of freedom and the exact p-value, we cannot provide a definitive conclusion regarding the hypothesis test.

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To calculate the project's NPV in the best-case scenario, we need to consider the best possible values for each variable.

Here are the steps-

Step 1: Calculate the annual cash inflow.
Annual revenue = Unit price * Expected sales

= $80 * 40,600

= $3,248,000

Step 2: Calculate the annual cash outflow.

Annual variable cost = Variable cost * Expected sales

= $60 * 40,600

= $2,436,000
Annual fixed cost = Fixed cost

= $440,800
Annual depreciation = Initial investment / Project life

= $14,000,000 / 10

= $1,400,000
Annual tax = (Annual revenue - Annual variable cost - Annual fixed cost - Annual depreciation) * Tax rate

= ($3,248,000 - $2,436,000 - $440,800 - $1,400,000) * 0.21

= $208,720

Step 3: Calculate the annual net cash flow.

Annual net cash flow = Annual revenue - Annual variable cost - Annual fixed cost - Annual depreciation - Annual tax

= $3,248,000 - $2,436,000 - $440,800 - $1,400,000 - $208,720

= $162,480

Step 4: Calculate the NPV using the best-case scenario cash flows.-

\(NPV = Initial investment + (Annual net cash flow / (1 + Required rate of return)^n)\)

\(= -$14,000,000 + ($162,480 / (1 + 0.14)^1) + ($162,480 / (1 + 0.14)^2) + ... + ($162,480 / (1 + 0.14)^10)\)

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The missing side of the right triangle is as follows:

a = 22.7 units

b = 10.6 units

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

The sides a and b can be found using trigonometric ratios as follows:

Hence,

sin 25 = opposite / hypotenuse

sin 25° = b / 25

cross multiply

b = 25 sin 25

b = 25 × 0.42261826174

b = 10.5654565435

b = 10.6 units

cos 25 = adjacent / hypotenuse

cos 25 = a / 25

cross multiply

a = 25 cos 25

a = 22.6576946759

a = 22.7 units

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Answer:

0

Step-by-step explanation:

Answer:

v=ha^2/3

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Answer:

34 cm squared

Step-by-step explanation:

You would need to fill in the cut out part of the shape. Find the area of the whole shape minus the area of the cut out shape.

Area of the bigger shape :6*9 =54cm squared

Area of the cut out shape:4*4=20cm squared

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

Answer:

153.9

Step-by-step explanation:

Diametre = 14, Radius = diametre/2 = 14/2 = 7

Area of circle = π*r^2,   π=3.14

= 3.14*7^2

=3.14*49

=153.9

Answer:

202

Step-by-step explanation:

SA=2(wl+hl+hw)

SA=2(5x9+4x9+4x5)

SA=2(49+36+20)

SA= 98+72+40

SA= 210 square centimeters

The last column evaluates to "T" in all rows. Therefore, the argument is valid since the conclusion always follows from the premises.

Let's assign symbols to represent the statements in the argument:

P: The boss snaps at you.

Q: You make a mistake.

R: The boss is irritable.

The argument can be symbolically represented as follows:

[(P ∧ Q) → R] ∧ ¬P → ¬R

To determine the validity of the argument, we can construct a truth table:

P | Q | R | (P ∧ Q) → R | ¬P | ¬R | [(P ∧ Q) → R] ∧ ¬P → ¬R

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

T | T | T |      T      |  F |  F |          T          |

T | T | F |      F      |  F |  T |          T          |

T | F | T |      T      |  F |  F |          T          |

T | F | F |      F      |  F |  T |          T          |

F | T | T |      T      |  T |  F |          F          |

F | T | F |      T      |  T |  T |          T          |

F | F | T |      T      |  T |  F |          F          |

F | F | F |      T      |  T |  T |          T          |

The last column represents the evaluation of the entire argument. If it is always true (T), the argument is valid; otherwise, it is invalid.

Looking at the truth table, we can see that the last column evaluates to "T" in all rows. Therefore, the argument is valid since the conclusion always follows from the premises.

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