Write ninety-eight and one tenth as a decimal number.

The pressure altitude of 3,750 ft affects the aircraft's performance. Higher altitude results in decreased air density, which affects lift generation and engine performance.

To determine the total distance required to land over a 50-foot obstacle, we need to consider the pressure altitude and headwind. The pressure altitude affects the performance of the aircraft, while the headwind affects the groundspeed.

The total distance required to land can be calculated using the following formula:

Total Distance = Ground Roll + Obstacle Clearance Distance

1. Ground Roll:

The ground roll is the distance required for the aircraft to decelerate and come to a complete stop after touchdown. It is influenced by factors such as aircraft weight, runway conditions, and wind.

2. Obstacle Clearance Distance:

The obstacle clearance distance is the additional distance required to safely clear the 50-foot obstacle during the landing. It depends on the aircraft's climb performance, which is affected by factors such as aircraft type, engine power, and atmospheric conditions.

Given the pressure altitude of 3,750 ft and the headwind of 12 kts, we can estimate the total distance required to land over the 50-foot obstacle.

It's important to note that the specific performance data and aircraft characteristics are needed to calculate the exact distances. The following explanation provides a general understanding of the factors involved.

The pressure altitude of 3,750 ft affects the aircraft's performance. Higher altitude results in decreased air density, which affects lift generation and engine performance. This can increase the ground roll and obstacle clearance distance required for landing.

The headwind of 12 kts reduces the aircraft's groundspeed during the landing. A headwind component helps reduce the groundspeed, resulting in a shorter ground roll and obstacle clearance distance.

To calculate the total distance required, we would need more specific data such as the aircraft type, performance charts, and other factors that influence landing distance calculations. These factors include aircraft weight, runway conditions, temperature, and other variables.

It is recommended to consult the aircraft's performance manual or a qualified aviation professional to accurately determine the total distance required to land over a 50-foot obstacle given the specific aircraft and conditions.

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According to the question we have  the correct answer is option 2, with a volume of 1664 cubic units.

The volume of the solid lying under the circular paraboloid z = x^2 + y^2 and above the rectangle R = (-4, 4] x [-6, 6] can be found using a double integral. First, set up the integral with respect to x and y over the given rectangular region:

Volume = ∬(x^2 + y^2) dA

To evaluate this integral, we will use the limits of integration for x from -4 to 4, and for y from -6 to 6:

Volume = ∫(from -4 to 4) ∫(from -6 to 6) (x^2 + y^2) dy dx

Now, integrate with respect to y:

Volume = ∫(from -4 to 4) [(y^3)/3 + y*(x^2)](from -6 to 6) dx

Evaluate the integral at the limits of integration for y:

Volume = ∫(from -4 to 4) [72 + 12x^2] dx

Next, integrate with respect to x:

Volume = [(4x^3)/3 + 4x*(72)](from -4 to 4)

Evaluate the integral at the limits of integration for x:

Volume = 1664

Therefore, the correct answer is option 2, with a volume of 1664 cubic units.

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Answer:

9 inches per hour

Flowers can grow up to 0.375 inches per hour.

To convert any unit into another is called a unit conversion.

For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.

Given that,

Flowers grow up to 0.75 ft per day.

Since,

1 feet = 12 inches.

1 day = 24 hours.

So,

0.75 feet/day ⇒0.75 × 12/24 inches / hours.

⇒  0.75/2 inches / hours

⇒ 0.375 inches / hours.

Hence "Flowers can grow up to 0.375 inches per hour".

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Answer:

A is correct (33/18 and 66/26)

Step-by-step explanation:

Both fractions equal 6/5 when fully simplified. All you have to do is divide 18 by 15 and divide 24 by 20. Both of them will equal 1.2.

The correct answer is an option (B)

"It is the comparison of two quantities of the same kind."

"When two ratios are equal then they are said to be in proportion."

For given question,

We need to find two ratios that represent quantities that are proportional.

A.

\(\frac{33}{18}\) and \(\frac{66}{26} = \frac{33}{13}\)

This pair of ratios does not represent quantities that are proportional.

C.

\(\frac{4}{6}=\frac{2}{3}\)

and

\(\frac{9}{12}=\frac{3}{4}\)

So, this pair of ratios does not represent quantities that are proportional.

D.

\(\frac{9}{14}\) and \(\frac{45}{56}\)

This pair of ratios does not represent quantities that are proportional.

B.

\(\frac{18}{15}=\frac{6}{5}\)

and

\(\frac{24}{20} =\frac{6}{5}\)

So, this pair of ratios represents the quantities that are proportional.

The correct answer is an option (B)

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Agile has 12 manifestos

The Agile Manifesto was created in 2001 by a group of software development practitioners who came together to discuss and define a set of guiding principles for more effective and flexible software development processes.

The Agile Manifesto consists of four core values:

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Answer:

hi

Step-by-step explanation:

by

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

Answer:

2+ 13

Step-by-step explanation:

2n - 3 + 7 + 9

2n + 13

Answer:

\(-6x^5+8x^4-14x^3\)

Step-by-step explanation:

\(-2x^3(3x^2-4x+7)\)   Use distributive property

\(-2x^3\) · \(3x^2\) = \(-6x^5\)      

\(-2x^3\) · \(-4x\) = \(8x^4\)       Product becomes positive because of two negatives

\(-2x^3\) · \(7\) = \(-14x^3\)

Group all of those numbers together (in order)

\(-6x^5+8x^4-14x^3\)

Water will reach a depth of 12 meters after 3.1 hours approximately.

What is function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.

Main body:

Function representing the level of water by 'y' and number of hours by 'x' is,

y = 2.5 cos (2πx/12.5)+12

For y = 12 meters, (Substitute the value of y)

12 = 2.5 cos (2πx/12.5)+12

12 -12 = 2.5 cos (2πx/12.5)

cos (2πx/12.5) = 0

2πx/12.5 = π/2

πx/12.5 = π/4

x = 3.125

x ≈3.1 hours

Therefore, water will reach a depth of 12 meters after 3.1 hours approximately.

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Answer:it’s a I was stuck to

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Descending order means that the exponents are in decreasing order and the polynomial ends with the constants. Therefore the answer is B.

Answer:

B.

Step-by-step explanation:

Arranged from largest to smallest

Answer:

Step-by-step explanation:

Answer:

the lowest scoreis -3

Step-by-step explanation:

the lowest score is -3

Answer:

x= -10

if u need explanation pls let me know

Answer:

[×1] +16=10

×=10-16

×=-6

Answer:

x=5 and x=-5

Step-by-step explanation:

First subtract 16 from both sides.

Then solve for x+1=6 and x+1=-6

you answer should be x=5 and x=-5

Step-by-step explanation:

Taking 45° as reference angle, we have

Now,

Sin 45°=p/h

√2/2=x/5√2

√2×5√2=2×x

5×2=2x

10=2x

x=10/2

x=5

Hence, second option is correct answer.

Answer:760

Step-by-step explanation:

Answer:

760

Step-by-step explanation:

Answer:

8 cm

Step-by-step explanation:

100% sure

Answer:

d 8 cm

Step-by-step explanation:

Area of parallelogram (A) = 280 cm²

height (h) = 35 cm

base (b) = ?

We know that

A = b * h

280 = b * 35

h = 8 cm

Hope it will help :)❤

The simplified form of the given expression is \(\frac{1}{4^{15}}\).

The given expression is \((4^{-5} )^{3}\).

We need to simplify the given expression.

Exponentiation is a mathematical operation, written as bⁿ, involving two numbers, the base b and the exponent or power n, and pronounced as "b raised to the power of n".

Now, \((4^{-5} )^{3}=4^{(-5) \times 3} =4^{-15} =\frac{1}{4^{15}}\).

Therefore, the simplified form of the given expression is \(\frac{1}{4^{15}}\).

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Answer:

9 laps

Step-by-step explanation:

The bascule bridge will take another 23 seconds to reach its vertical position from its current lift position of 35°.

Using proportion or ratio, one can determine the additional seconds required by the bridge to achieve a vertical position.

The current lift position is 35°, which took 21 seconds.  This implies that the bridge's lift rate is 1.67° per second (21/35°).  To lift to 90°, the bridge will take 54 seconds (1.67 x 90).  Since it has already taken 21 seconds, the bridge requires additional 23 seconds (54 - 21) to complete the vertical lift.

The vertical position of the bridge =  90°

The horizontal position =  0°

Current lift position = 35°

The time it took the bridge to lift 35° = 21 seconds

Therefore, the time it will take the bridge to reach its vertical position from its horizontal position of  90° is 54 seconds (21 x 90/35).

The additional time required by the bridge to reach its vertical position from its current position of 35° is 23 seconds (54 - 21).

Thus, it will take another 23 seconds to reach its vertical position.

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Answer:

23 seconds

Step-by-step explanation:

i just know

Answer:

Step-by-step explanation:

Kate should deposit $46,158.28 monthly into an account

In this question, we have been given the amount A = $50,000,

interest rate R = 1.6%

period t = 5 years

We need to find the principal amount (P)

First, convert R as a percent to decimal

r = 1.6/100

r = 0.016

Using the formula of compound interest for P,

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

P = 50,000.00 / (1 + 0.016/12)(12)(5)

P = $46,158.28

Therefore, Kate should deposit $46,158.28

9514 1404 393

Answer:

  A. Given; B. multiplication; C. distributive; D. collect terms; E. addition; F. division

Step-by-step explanation:

You are expected to compare each line to the previous line and identify the changes. Apart from combining like terms (collecting terms), there are generally only three properties of interest: distributive property, addition property, multiplication property. Of course, subtraction and division are just addition and multiplication using the appropriate (additive, multiplicative) inverse.

The distributive property involves adding or deleting parentheses, so it is easy to identify.

If terms disappear, it can be due to terms being combined, or due to addition/subtraction. If coefficients disappear, it will generally be due to multiplication/division.

__

-2.5(-2-3x)+2.5(-4x-1) = -2x -4x . . . . Given

-5(-2 -3x) +5(-4x -1) = -4x -8x . . . . multiplication by 2 (fractions eliminated)

10 +15x -20x -5 = -4x -8x . . . . distributive property (eliminate parentheses)

-5x +5 = -12x . . . . collect terms

5 = -7x . . . . addition of 5x (-5x term disappeared)

-5/7 = x . . . . division by -7 (x coefficient of -7 disappeared)

Therefore, the height of the tree is approximately 3.67 meters making triangle.

Let h be the height of the tree. Then, using the properties of similar triangles, we can set up the following proportion:

h / 1.25 = (h + x) / 15.45

where x is the length of Gabriella's shadow. To find x, we can use a similar proportion:

h / 10.2 = 1.25 / x

Solving the second proportion for x, we get:

x = 10.2 * 1.25 / h

Substituting this expression for x into the first proportion, we get:

h / 1.25 = (h + 10.2 * 1.25 / h) / 15.45

Multiplying both sides by 15.45 * h * 1.25, we get:

15.45 * h - 15.45 * 1.25 = h * 10.2

Expanding and rearranging, we get a quadratic equation in h:

15.45h - 19.3125 = 10.2h

5.25h = 19.3125

h = 3.67 meters (rounded to two decimal places)

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Even if R is anti-reflexive, R2 may not necessarily be anti-reflexive. It depends on the specific properties and composition of the relation R.

Let R be a relation that is reflexive and transitive. We want to prove that R2 = R for any relation R with these two properties.

To prove this, we need to show that for any ordered pair (a, b), (a, b) ∈ R2 if and only if (a, b) ∈ R.

First, let's consider (a, b) ∈ R2. By definition, (a, b) ∈ R2 means that there exists an element c such that (a, c) ∈ R and (c, b) ∈ R.

Since R is reflexive, we know that (a, a) ∈ R and (b, b) ∈ R.

By the transitivity of R, if (a, c) ∈ R and (c, b) ∈ R, then (a, b) ∈ R.

Therefore, (a, b) ∈ R2 implies (a, b) ∈ R.

Now, let's consider (a, b) ∈ R. Since R is reflexive, we have (a, a) ∈ R and (b, b) ∈ R.

By the definition of R2, (a, a) ∈ R2 and (b, b) ∈ R2.

Since R is transitive, if (a, a) ∈ R2 and (a, b) ∈ R2, then (a, b) ∈ R2.

Therefore, (a, b) ∈ R implies (a, b) ∈ R2.

We have shown that for any ordered pair (a, b), (a, b) ∈ R2 if and only if (a, b) ∈ R. Hence, R2 = R.

If the relation R is anti-reflexive, it is not necessarily true that R2 is anti-reflexive.

To understand why, let's consider an example. Let R be a relation defined on the set of integers such that R contains the ordered pairs (a, b) where a < b.

In this case, R is anti-reflexive because for any integer a, (a, a) is not in R.

Now, let's consider R2. R2 is the composition of R with itself. If (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R2.

In our example, if we take a = 1, b = 2, and c = 3, we have (1, 2) ∈ R and (2, 3) ∈ R. Therefore, (1, 3) ∈ R2.

However, (1, 1) is not in R2 because (1, 1) is not in R. Therefore, R2 is not anti-reflexive in this case.

This example demonstrates that even if R is anti-reflexive, R2 may not necessarily be anti-reflexive. It depends on the specific properties and composition of the relation R.

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Answer:

Step-by-step explanation:

3x-6 = 33

= 3x = 33 + 6

= 3x = 39

x = 13