what is the number 0.0000 04 in standard form

The remaining sides and angles in triangle ΔFGH are approximately:

FG ≈ 8.5 units (rounded to the nearest tenth)

∠F ≈ 19.5° (rounded to the nearest tenth)

∠H ≈ 70.5° (rounded to the nearest tenth)

To find the remaining sides and angles in triangle ΔFGH, given that ∠G is a right angle (90°) and f = 3, h = 9, we can use the Pythagorean theorem and trigonometric ratios.

Using the Pythagorean theorem, we know that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

So, we have:

f^2 + g^2 = h^2

Substituting the given values:

3^2 + g^2 = 9^2

9 + g^2 = 81

g^2 = 81 - 9

g^2 = 72

g = √72 ≈ 8.49

Therefore, the length of side FG (g) is approximately 8.5 units when rounded to the nearest tenth.

Now, let's find the remaining angles using trigonometric ratios:

To find ∠F, we can use the sine ratio:

sin(∠F) = opposite/hypotenuse = f/h = 3/9 = 1/3

∠F = arcsin(1/3) ≈ 19.5° (rounded to the nearest tenth)

To find ∠H, we can use the cosine ratio:

cos(∠H) = adjacent/hypotenuse = f/h = 3/9 = 1/3

∠H = arccos(1/3) ≈ 70.5° (rounded to the nearest tenth)

Therefore, the remaining sides and angles in triangle ΔFGH are approximately:

FG ≈ 8.5 units (rounded to the nearest tenth)

∠F ≈ 19.5° (rounded to the nearest tenth)

∠H ≈ 70.5° (rounded to the nearest tenth)

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On solving the provided question we can say that from the graphs  y=e^-x+x => y = -3

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

here,

from the graphs

y=e^-x+x

for(-3,6)

y = e^-3 -3

y = -3

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Answer:

1. Jerome and Jewel Jones are looking to buy their family home for their burgeoning brood. They are looking for a five-bedroom house. The average price of a five- bedroom house is GH¢450,000 in their locality. A bank offers the couple a 15- year mortgage facility at an interest rate of 24.5%. The bank also requires that the instalment payments do not exceed 30% of the couple’s monthly income. What should be the couple’s combined monthly income if they wish to take the facility?

2. You are willing to pay GH¢15,625 now to purchase a perpetuity that will pay you and your heirs GH¢1,250 each year, forever, starting at the end of this year. If your required rate of return does not change, how much would you be willing to pay if this were a 20-year, annual payment, annuity instead of a perpetuity?

3. Desmodus Limited, a toy maker, prepares its accounts to 31 December each year. For the 2017 financial year the company paid a dividend of GH¢0.55 per share. Dividends paid are paid at the end of year but the 2017 were 80% lower than that of the previous year due to a difficult financial year. Members of the com- pany at its annual general meeting agreed not to pay dividends over the next two years and instead pay down the company’s bonds. Dividend payment will resume thereafter at the level of the 2017 dividends for three years. Management be- lieves that the company can afford to increase dividends at a rate of 4% thereafter for the foreseeable future. What is the intrinsic value of the company’s shares at the start of 2019 financial year if firms in the toy industry deliver returns of 13.5% on average?

4. YouhavejustjoinedtheMaaretsGroup,andyourbossasksyoutoreviewarecent analysis that was done to compare three alternative proposals to enhance the firm’s manufacturing facility. You find that the prior analysis ranked the proposals according to their IRR, and recommended the highest IRR option, Proposal A. You are concerned and decide to redo the analysis using NPV to determine whether this recommendation was appropriate. But while you are confident the IRRs were computed correctly, it seems that some of the underlying data regarding the cash flows that were estimated for each proposal was not included in the report. Here is the information you have, all amounts in millions of GH¢ o.:

PROPOSAL IRR YEAR 1 YEAR 2 YEAR 3 YEAR 4

A 60% -100 30 153 88

B 55% ? 0 206 95

C 50% -100 37 0 204+?

(a) Which projects would recommend based on the NPV of each proposal if the appropriate cost of capital is 10%?

(b) Would your recommendations be valid if the company has capital limitation of GH¢285 million? Explain your with appropriate detail.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The amount earned by Tom is the product of the rate per hour and the number of hours worked which is $90.

The amount earned at the normal earning rate can be calculated thus :

Amount earned = $15 × 6 = $90

Therefore, the amount earned by Tom after working for 6 hours at the normal rate is $90.

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The total pay Tom earn for working 11 hours is £185

Given that Tom is paid £15 if he works for less than 7 hours and then paid 1 1/3 times his normal salary if he works more than 7 hours.

Given that he works for 11 hours, hence:

Pay for the first 7 hours = £15 × 7 hours = £105

Pay for the overtime = 1 1/3 × £15 × (11 - 7) = 4/3 × £15 × 4 = £80

Total pay = £80 + £105 = £185

Hence the total pay Tom earn for working 11 hours is £185

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The margin of error is 2.695 for a sample size of 256 and a population variance of 484 at a 95% confidence level.



To find the margin of error, we need to use the formula:
Margin of error = z* (sigma / sqrt(n))
Where z* is the z-score corresponding to the desired confidence level, sigma is the population standard deviation, and n is the sample size.
In this case, we know that the population variance (sigma^2) is 484, which means the standard deviation (sigma) is sqrt(484) = 22.
The sample size (n) is 256.
The confidence level is 95%, which means the z-score is 1.96.
So, plugging these values into the formula, we get:
Margin of error = 1.96 * (22 / sqrt(256))
Simplifying, we get:
Margin of error = 1.96 * (22 / 16)
Margin of error = 2.695


Hence, we use the formula Margin of error = z* (sigma / sqrt(n)), where z* is the z-score corresponding to the desired confidence level, sigma is the population standard deviation, and n is the sample size. The margin of error is 2.695 for a sample size of 256 and a population variance of 484 at a 95% confidence level.

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Answer:

Step-by-step explanation:

1)

We know that if \(x^2=9\), then \(x=\pm \sqrt{9}\), so \(\boxed{x=3,-3}\)

2)

We know that if \(x^3=8\), then \(x=\sqrt[3]{8}\), so \(\boxed{x=2}\)

3)

\(x^3=\frac{1}{8}\) means that \(x=\sqrt[3]{\frac{1}{8}}=\frac{\sqrt[3]{1}}{\sqrt[3]{8}}=\frac{1}{2}\).

So, \(\boxed{x=\frac{1}{2}}\).

4)

\(x^3=27\) means that \(x=\sqrt[3]{27}=\sqrt[3]{3^3}=3\).

So, \(\boxed{x=3}\).

5)

\(x^2=25\) means that \(x=\pm \sqrt{25}=\pm \sqrt{5^2}=\pm 5\).

So, \(x=5,-5\).

6)

We know that the side length of the square will be \(\sqrt{\frac{9}{16}}=\frac{\sqrt{9}}{\sqrt{16}}=\boxed{\frac{3}{4}}\).

7)

\(6x^2=54\) means that \(x^2=9\), which means that \(\boxed{x=3,-3}\).

8)

\(2x^2+25=75\) means that \(2x^2=50\), which means that \(x^2=25\), which means that \(\boxed{x=5,-5}\)

Answer:

-30x^3+5x^2

Step-by-step explanation:

Answer:

distribuative property of addition

Step-by-step explanation:

Answer:

I'm going to say expanded form

Step-by-step explanation:

The amount required to endow the scholarship would still be approximately $71,428.57.

To calculate the amount needed to endow a scholarship that pays $5,000 per year forever, starting one year from now, we can use the concept of perpetuity and the formula for present value. The amount required to endow the scholarship can be calculated as follows:

Amount needed = Annual payment / Discount rate

Using the given values, the amount needed to endow the scholarship is:

Amount needed = $5,000 / 0.07 = $71,428.57

Therefore, you would need to donate approximately $71,428.57 to endow the scholarship.

If the scholarship makes the first award to a student 10 years from today, the calculation would be different. In this case, we need to account for the time value of money and discount the future payments to their present value. We can use the formula for the present value of an annuity to calculate the amount needed to endow the scholarship:

Present value = Annual payment / (Discount rate - Growth rate)

Assuming there is no growth rate mentioned, we can use the same discount rate of 7% for simplicity. The amount needed to endow the scholarship, in this case, would be:

Present value = $5,000 / (0.07 - 0) = $71,428.57

Even though the first award is made 10 years from today, the present value remains the same. This is because the discount rate is equal to the growth rate (0% in this case). Therefore, the amount required to endow the scholarship would still be approximately $71,428.57.

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Answer:

Step-by-step explanation:

scale is 1 inch=9 feet

4 inches*9= 36 feet

10 inches*9=90feet

it is 36 feet by 90 feet

scale is 1 inch=5 feet

4 inches*5=20 feet

it is 20 feet

scale is 1:12

14 inches*12=168

it is 168

Answer:

5

Step-by-step explanation:

Answer:

$1.42

Step-by-step explanation:

$10.00 - $8.58 = $1.42

Answer: 1.42

Just subtract 10 - 8.58=

It would be (4, -5)

Hope this helps!

Simplify the expression;

We shall apply the rule of exponent which is;

We now have;

Next we shall apply the rule which is;

We now have the expression as;

For the (b) part;

We shall apply the exponent rule;

Our expression now becomes;

We shall also apply the second rule as stated earlier and we'll have;

EXPLANATION:

An even exponent makes a negative number even as we have seen from our calculations. This is because the product of two negative numbers is positive, whereas an odd exponent makes a negative number odd because the product of three negative numbers like we saw in our calculation would be negative.

ANSWER:

The required area that the label would cover is given as 3771.4 cm².

As mentioned in the question,
the wheel has a radius of 30 centimeters and a height of 20 centimeters,

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

here,
Area of the label, = 2πrh
Substitute the value in the above formula,
Area of the label = 2 × 22 / 7 × 30 × 20
Area of the label = 3771.4 cm²

Thus, the required area that the label would cover is given as 3771.4 cm².

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Answer: Then aswer the question wit your broke answer

Step-by-step explanation:

The exponential regression equation that was obtained from the graphing calculator is y = 7.355 * (10.579)ˣ

The correct option is D.

Step 1: Exponential regression equation:

The exponential regression equation provided by the graphing calculator is given as:

where the values of a and b represent the coefficients in the equation, and x represents the independent variable.

Step 2: The information that was returned by the calculator is;

a = 7.354734813

a = 7.355 rounded to 3 decimal places

b = 10.57922764

b = 10.579 rounded to 3 decimal places

Step 3:

Substituting the values of a and b in the exponential regression equation  by the graphing calculator;

the exponential regression equation is:

y = 7.355 * 10.579ˣ rounded to 3 decimal places

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Negative 4 , negative 6 , negative 8 , negative 10.

An integer is a whole number that can be either positive, negative, or zero. It is not a fraction, decimal, or a percentage. Integers are the basic building blocks of mathematics and are used to represent whole numbers in equations. They are also used in computer programming languages to represent whole numbers.

negative 4 , negative 3 , negative 2 , negative 1,

−4, −5, −6, −7

negative 4 , negative 5 , negative 6 , negative 7,

−4, −2, 0, 2

negative 4 , negative 2 , 0, 2,

−4, −6, −8, −10

negative 4 , negative 6 , negative 8 , negative 10.
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(i) (A) The probability of none being defective is (265/300) raised to the power of 5. So the answer is  (265/300)^5 ≈ 0.3776

(B) Here the probability can be calculated using the hypergeometric distribution. So the answer  is  (265/300) * (264/299) * (263/298) * (262/297) * (261/296) ≈ 0.3562

(ii) (A)  Without replacement, the probability of selecting one defective bearing and two non-defective bearings, So the answer  is (35/300) * (265/299) * (264/298) ≈ 0.0313

(B)  The probability of selecting at least one non-defective bearing can be calculated by subtracting the probability of selecting all defective bearings from 1. So the answer is  1 - (35/300) * (34/299) * (33/298) ≈ 0.8871

(i) (A) Since each bearing is drawn with replacement, the probability of selecting a non-defective bearing is 265/300. To find the probability of selecting none as defective, we multiply this probability five times since there are five draws.

(B)  For the first draw, the probability of selecting a non-defective bearing is 265/300. For the second draw, there are 264 non-defective bearings left out of 299 remaining bearings. We continue this process for all five draws, multiplying the probabilities together.

(ii) (A) The probability of selecting one defective bearing is 35/300. For the second draw, there are 265 non-defective bearings left out of 299 remaining bearings. For the third draw, there are 264 non-defective bearings left out of 298 remaining bearings. We multiply these probabilities together.

(B) The probability of selecting all defective bearings is calculated by multiplying the probabilities of selecting a defective bearing for each draw. Subtracting this probability from 1 gives the probability of selecting at least one non-defective bearing.

Conclusion: The probability of selecting none of the bearings as defective, with replacement, is approximately 0.3776.

(i) (A) The probability of selecting none of the bearings as defective, with replacement, is approximately 0.3776.

(B) The probability of selecting none of the bearings as defective, without replacement, is approximately 0.3562.

(ii) (A) The probability of selecting one defective bearing and two non-defective bearings, without replacement, is approximately 0.0313.

(B)  The probability of selecting at least one non-defective bearing, without replacement, is approximately 0.8871.

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The balance after 10 years would be approximately $1,190.96.

To calculate the balance after 10 years of investing $800 at a rate of 4% compounded monthly, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the final balance

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, we have:

P = $800

r = 4% = 0.04 (as a decimal)

n = 12 (compounded monthly)

t = 10 years

Plugging the values into the formula, we have:

A = 800(1 + 0.04/12)^(12 × 10)

Simplifying the calculation inside the parentheses:

A = 800(1 + 0.003333)^120

Using a calculator, we can evaluate (1 + 0.003333)^120 ≈ 1.4887.

A = 800 × 1.4887 ≈ $1,190.96

Therefore, the balance after 10 years would be approximately $1,190.96.

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Answer:

I believe the correct answer is f^-1 (x) = x - 3/2

Answer:

40.7432432432

Step-by-step explanation:

First you multiply 67 and 45 due to order of operations. This gives you 3015. After that you divide by 74 as it is on the right of the equation. 3015 divided by 74 is 40.7432432432

Answer:

been awhile greyfire changed name but its midnight

Step-by-step explanation:

Answer:

41 degrees

Step-by-step explanation:

Here in this question , we are interested in calculating the value of angle x.

Firstly, we shall be needing a diagrammatic representation, please check attachment for this.

We are interested in calculating angle x, which represents the angle facing the opposite. The other third side that we have is referred to as the adjacent.

The trigonometric ratio to use here is thus called the tangent.

Mathematically the tangent of an angle = length of the opposite/length of the adjacent

The value 5.6 is our opposite since it faces the angle while the length 6.5 is the adjacent.

Thus;

tan x = 5.6/6.5

tan x = 0.8615

x = arc tan 0.8615

x = 40.75 degrees which is 41 degrees to the nearest degree

Answer:

41

Step-by-step explanation:

tan  −1  (  6.5 /  5.6  )  =  40.746 = 41

There are 28 ways to choose 6 teams for the playoffs if there are 8 college basketball teams in a certain sub-division.

To determine the number of ways to choose 6 teams for the playoffs out of the 8 college basketball teams in a certain Sub-Division, we can use the combination formula. The formula for combinations is given by

nCr = n! / (r! * (n-r)!),

where n represents the total number of teams and r represents the number of teams to be chosen.

In this case, n = 8 and r = 6.

Plugging in these values, we have

8C6 = 8! / (6! * (8-6)!) = 8! / (6! * 2!) = (8 * 7) / (2 * 1) = 28.

Therefore, there are total 28 ways to choose 6 teams.

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Answer:

78.5 square meters

Explanation:

• Given:, A circle with a radius of 5 meters.

• To find:, Area of the circle

The area of a circle is calculated using the formula:

Substitute 5 for r and 3.14 for π:

The area of the circle is approximately 78.5 square meters.

Answer:

B, set up a fraction trust ong

Answer:

374 feet^2

Step-by-step explanation:

Surface area:

area of cross section x 2 = 110feet^2

area of tope x 2 = 264 feet^2

sum / Surface area: 374 feet^2

94 cause 50- -60=110 then 110-16=94