Which number is equal to the following?
9 x 10^3

1. 93
2. 900
3. 9,000
4. 2700

Answer:

assuming that "x" is a multiplication symbol

(4.2*2)10^-5

0.00001 * 8.4

Answer:

Step-by-step explanation:

-8×+40>-16

Answer:

x > 7

Step-by-step explanation:

-8x+40>-16

You do 40 minus 40, and that cancells it out, then you  do -16 minus 40, wich gives you -56, then, you do -1 divided by -8, wich, again, cancels it out, and finally, do -56 divided by -8 wich gives you 7, so, x=7.

Answer:

f(x) = (x+6)^2 +3

Step-by-step explanation:

Answer:

y = (1/6)x - 5/3

Step-by-step explanation:

Please find the attachment for detail

The approximate standard-deviation for how long she will wait is 3.2 minutes.

To find the approximate "standard-deviation" for how long Alice will wait for the shuttle, we use the formula for the "standard-deviation" of a uniform distribution.

For a continuous uniform-distribution between "a" and "b", the standard deviation is given by the formula:

σ = (b - a) / √12

In this case, the values for X, representing the time before the next shuttle arrives, are uniformly distributed between 6 and 17 minutes.

So, σ = (17 - 6) / √12

= 11 / √12

= 3.175 ≈ 3.2,

Therefore, Rounded to one decimal place, the standard-deviation for time Alice will wait is 3.2 minutes.

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The required axis of the symmetry of f(x) is x = -4 and of h(x) is x = 1,

Given that,
Two functions are given, to state the axis of symmetry for each function.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
f(x) = 3(x + 4 )² + 1
Comparing with the standard equation f(x)=a(x-h)²+k
The axis of the symmetry is given x = h
So from compassion,
x = -4

For h(x)
The axis of the symmetry is given by the x coordinate of the vertex,
So,
x = 1

Thus, the required axis of the symmetry of f(x) is x = -4 and of h(x) is x = 1,

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To calculate the least radius of gyration and the slenderness ratio of a hollow rectangular section with given dimensions and material thickness, we need to follow the formulas and steps involved. The least radius of gyration is a measure of the distribution of material around the centroid of a section, while the slenderness ratio provides information about the stability of the section under axial loading.

1. To calculate the least radius of gyration, we use the formula:

 r_min = sqrt((I / A))

  where I is the moment of inertia of the section and A is the cross-sectional area. For a hollow rectangular section, the moment of inertia can be calculated using the formula:

  I = ((b1 * h1^3) - (b2 * h2^3)) / 12

  where b1 and b2 are the outer and inner dimensions of the section, and h1 and h2 are the outer and inner heights of the section. The cross-sectional area A can be calculated as:

  A = (b1 * h1) - (b2 * h2)

2. To calculate the slenderness ratio, we divide the effective length of the section by the least radius of gyration:

  Slenderness ratio = L / r_min

  Given that the effective length is 6m, and considering the dimensions provided in millimeters (30cm x 15cm), we convert 60mm to meters (0.06m).

By substituting the given values into the formulas and performing the calculations, we can find the least radius of gyration and the slenderness ratio for the hollow rectangular section.

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Answer:

C

Step-by-step explanation:

-2x + 10  Means that the line crosses the y axis at 10.  The slope is -2 that means that as the y changes by -2, the x changes by 1.  

The second equations means that we have a horizontal line with no slope that goes through -28 1/2

Answer:

the answer is b

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

To determine whether the two goods act as substitutes or complements in the market, we can examine the signs of the coefficients associated with the prices in the demand functions.

In the given demand functions, the coefficient -2 for P₁ in the demand function for Q₁ suggests an inverse relationship between the price of good 1 and the quantity demanded of good 1. This means that as the price of good 1 increases, the quantity demanded of good 1 decreases. On the other hand, the (a) The given differential equation represents a second-order linear time-invariant (LTI) system. A mechanical analogue of this type of equation in physics is the motion of a damped harmonic oscillator, where the displacement of the object is analogous to the charge q, and the forces acting on the object are analogous to the terms involving derivatives.

(b) In the critically damped case, the characteristic equation of the LCR circuit is a second-order equation with equal roots. The solution takes the form:

q_c(t) = (A + Bt) * e^(-Rt/(2L))

(c) If C = 6 µF, R = 10 Ω, and L = 0.5 H, the circuit exhibits over-damping because the resistance is greater than the critical damping value. In this case, the general solution for q(t) can be written as:

q(t) = q_c(t) + g(t)

where g(t) is the particular solution determined by the initial conditions or external forcing.

(d) The natural frequency of the circuit can be calculated using the formula:

ω = 1 / √(LC)

Substituting the given values, we have:

ω = 1 / √(0.5 * 6 * 10^-6) = 1 / √(3 * 10^-6) ≈ 5773.5 rad/s2 for P₁ in the demand function for Q₂ suggests a positive relationship between the price of good 1 and the quantity demanded of good 2. This means that as the price of good 1 increases, the quantity demanded of good 2 also increases.

Similarly, the coefficient 4 for P2 in the demand function for Q₁ suggests a positive relationship between the price of good 2 and the quantity demanded of good 1. This means that as the price of good 2 increases, the quantity demanded of good 1 also increases. On the other hand, the coefficient -5 for P2 in the demand function for Q₂ suggests an inverse relationship between the price of good 2 and the quantity demanded of good 2. This means that as the price of good 2 increases, the quantity demanded of good 2 decreases.

Based on the analysis of the coefficients, we can conclude that the two goods act as substitutes in the market. This is because as the price of one good (either good 1 or good 2) increases, the quantity demanded of the other good increases. The positive coefficients associated with the prices indicate a positive cross-price elasticity, suggesting that an increase in the price of one good leads to an increase in the demand for the other good.

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Answer:

Step-by-step explanation:

uthr uhreui herugh

Mr. Hamstra can travel about 7125 miles when his tank is 1/4 full. If his tank is 14 full, we can assume that it is completely full, so he should be able to travel a similar distance.

What is distance ?

Distance is a numerical measurement of how far apart objects or points are in space. It is typically measured in units such as meters, kilometers, miles, or feet, depending on the context and the level of precision required.

To solve this problem, we can use the following formula:

distance = gas mileage x amount of gas

Since we know that Mr. Hamstra's car averages 20 miles per gallon, we can substitute this value into the formula:

distance = 20 x amount of gas

To find the amount of gas that Mr. Hamstra has when his tank is 1/4 full, we can multiply the total amount of gas in his tank (1425 gallons) by 1/4:

amount of gas = 1425 x 1/4 = 356.25 gallons

Now we can substitute this value into the formula to find the distance that Mr. Hamstra can travel when his tank is 1/4 full:

distance = 20 x 356.25 = 7125 miles

Therefore, Mr. Hamstra can travel about 7125 miles when his tank is 1/4 full. If his tank is 14 full, we can assume that it is completely full, so he should be able to travel a similar distance.

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We will divide by 11 and multiply by 9.

The first number is 110 and the second number is 90.

Here we have to go from the first number to the second number.

So for this, we will divide the first number by 11, so we get

110/11= 10

Now we will multiply it by 9, so we get

10 × 9 = 90

So by multiplying the first number by 11 and then multiplying it by 9 we will get the second number.

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This means that the slope of the tangent line to the curve f(x) is increasing as x increases between 14 and 15.

To find the instantaneous rate of change, we need to take the derivative of the function f(x) using the product rule:

f(x) = x ln x

f'(x) = x (1/x) + ln x = 1 + ln x

Now we can evaluate f'(14) and f'(15) by plugging in those values:

f'(14) = 1 + ln 14 ≈ 1.833

f'(15) = 1 + ln 15 ≈ 1.707

To determine the concavity of f(x) between 14 and 15, we need to look at the sign of the second derivative. If the second derivative is positive, the function is concave up (like a smiley face); if the second derivative is negative, the function is concave down (like a frowny face); and if the second derivative is zero, the function has no concavity (like a straight line).

To find the second derivative of f(x), we need to take the derivative of f'(x):

f''(x) = d/dx (1 + ln x) = 1/x

Now we can evaluate f''(14) and f''(15) by plugging in those values:

f''(14) = 1/14 ≈ 0.0714

f''(15) = 1/15 ≈ 0.0667

Since f''(14) and f''(15) are both positive, this means that f(x) is concave up (like a smiley face) between x=14 and x=15. This means that the slope of the tangent line to the curve f(x) is increasing as x increases between 14 and 15.

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Answer:

\(\tan\theta=-\dfrac{12}{5}\)

Step-by-step explanation:

Given:

    \(\cos \theta=-\dfrac{5}{13}\)

    \(\sin \theta > 0\)

Cosine is negative in Quadrants I, II and III.

Sine is positive in Quadrant II only.

Therefore, as cos(θ) is negative and sin(θ) is positive, we need to draw a right triangle in Quadrant II.

\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

The cosine trigonometric ratio is the ratio of the side adjacent the angle to the hypotenuse. Therefore, we can draw a right triangle where the side adjacent to angle θ is -5 and the hypotenuse is 13 (see attachment).

The side opposite the angle is positive and can be calculated using Pythagoras Theorem:

\(\implies a^2+b^2=c^2\)

\(\implies O^2+(-5)^2=13^2\)

\(\implies O^2=144\)

\(\implies O=12\)

\(\boxed{\begin{minipage}{7 cm}\underline{Tangent trigonometric ratio} \\\\$\sf \tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle.\\\end{minipage}}\)

The tangent trigonometric ratio is the ratio of the side opposite the angle to the side adjacent the angle. Therefore:

\(\implies \tan\theta=\dfrac{12}{-5}=-\dfrac{12}{5}\)

3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609433057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949129833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440901224953430146549585371050792279689258923542019956112129021960864034418159813629774771309960518707211349999998372978049951059731732816096318595024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303598253490428755468731159562863882353787593751957781857780532171226806613001927876611195909216420198938095257201065485863278865936153381827968230301952035301852968995773622599413891249721775283479131515574857242454150695950829533116861727855889075098381754637464939319255060400927701671139009848824012858361603563707660104710181942955596198946767837449448255379774726847104047534646208046684259069491293313677028989152104752162056966024058038150193511253382430035587640247496473263914199272604269922796782354781636009341721641219924586315030286182974555706749838505494588586926995690927210797509302955321165344987202755960236480665499119881834797753566369807426542527862551818417574672890977772793800081647060016145249192173217214772350141441973568548161361157352552133475741849468438523323907394143334547762416862518983569485562099219222184272550254256887671790494601653466804988627232791786085784383827967976681454100953883786360950680064225125205117392984896084128488626945604241965285022210661186306744278622039194945047123713786960956364371917287467764657573962413890865832645995813390478027590099465764078951269468398352595709825822620522489407726719478268482601

Answer:

32 hours

Step-by-step explanation:

480 divided by 15 is 32

Population: All students in the high school.

Parameter of interest: Proportion of students whose names are known by the student body president.

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Answer:

$600 and $800

Step-by-step explanation:

let : first bank account =x

second bank account = y

0.05 x + 0.09 y = 102 => (× 20)

=>

x + 1.8 y = 2040

x + y = 1400

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

0.8y = 640

y = 640/0.8 = 800

x = 1400 - 800 = 600

the amount invested in each account :

bank with 5% annual interest = $600

bank with 9% annual interest = $800

Answer:

49π

Step-by-step explanation:

The formula for the area of a circle is \(\pi r^{2}\).

When you insert the numbers, you get \(a=\pi *7^{2}\)

\(7^{2} =49\)

Hope this helped :)

Answer:

the answer is c.

Step-by-step explanation:

i multiply the 4 by the 8 on the denominator and add that answer to the numerator which equal to 37/8

and the mixed number stays the same since its already mixed.

Answer:

C

Step-by-step explanation:

Answer:

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

The significant digits include all non-zero numbers (8 and 9) and the zeros between them (the five zeros).

Hence it has 8 significant digits.

There are nine significant digits in 80,000,089.

In the number 80,000,089, there are nine significant digits. Significant digits are the digits in a number that carry meaning or contribute to its precision. They do not include leading or trailing zeros that serve as placeholders.

In this case, the significant digits are "8," "0," "0," "0," "0," "0," "8," and "9." Each of these digits contributes to the value and precision of the number. The leading "8" is significant as it represents the tens of millions place, while the trailing "9" represents the units place.

Zeros that appear between nonzero digits, as in "80,000,089," are considered significant because they indicate the magnitude of the number.

However, zeros that appear before the first nonzero digit, such as in "000,000,089," are not considered significant since they only serve as placeholders and do not affect the value or precision of the number.

Therefore, in the number 80,000,089, there are nine significant digits.

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the probability that a Bar-headed goose chosen at random flaps its wings between 4 and 4.5 times per second is approximately 0.6831 or 68.31%.          

To find the probability that a Bar-headed goose chosen at random flaps its wings between 4 and 4.5 times per second, we can use the properties of the Normal distribution.

Given that the wingbeat frequency follows a Normal distribution with a mean (μ) of 4.25 flaps per second and a standard deviation (σ) of 0.2 flaps per second, we need to calculate the probability that the wingbeat frequency falls within the range of 4 to 4.5.

We can standardize the range by using the Z-score formula

Z = (X - μ) / σ

where X is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

For the lower bound, 4 flaps per second:

Z_lower = (4 - 4.25) / 0.2

For the upper bound, 4.5 flaps per second:

Z_upper = (4.5 - 4.25) / 0.2

Now, we need to find the probabilities associated with these Z-scores using a standard Normal distribution table or a calculator.

Using a standard Normal distribution table, we can find the probabilities as follows:

P(4 ≤ X ≤ 4.5) = P(Z_lower ≤ Z ≤ Z_upper)

Let's calculate the Z-scores:

Z_lower = (4 - 4.25) / 0.2 = -1.25

Z_upper = (4.5 - 4.25) / 0.2 = 1.25

Now, we can look up the corresponding probabilities in the standard Normal distribution table for Z-scores of -1.25 and 1.25. Alternatively, we can use a calculator or statistical software to find these probabilities.

using a standard Normal distribution table, we find:

P(-1.25 ≤ Z ≤ 1.25) ≈ 0.7887 - 0.1056 = 0.6831

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Answer:

I think its 6856.84

Step-by-step explanation

After finding the money he has his 4000 dollars back.

4000 dollars add the money he earned in 7.6 months equals to 6856.84

Answer:

6856.84

Step-by-step explanation:

4000 + (375.9 x 7.6) = 6856.84

Step by Step its...

4000 + (375.9 x 7.6)

4000 + (2856.84)

6856.84

Answer:

a_1=2, a_n=5+a_(n-1)

Step-by-step explanation:

a1=2

a2=7

a3=12

...

Answer:

3miles

Step-by-step explanation:

10 minutes is 1/6 of an hour, so in 1 hour ellie would hike 1/2*6=3miles

Answer:

Step-by-step explanation:

There are various ways in which we can solve this problem.

If we're told that Ellie can hike 1/2 mile in 10 minutes, then multiplying both sides of "1/2 mile = 10 minutes" by 6 yields 3 miles in 60 minutes.

Alternatively:  "1/2 mile = 10 minutes" becomes "1 mile in 20 minutes" by the same approach.  Then, multiplying both sides by 3 yields "3 miles in 60 minutes," or "3 miles in 1 hour."

Answer:

t=2.18n

Step-by-step explanation:

Total cost is 6.54 for 3 tickets so divide 6.54 by 3 and you get price per ticket which is 2.18. Multiply that by how many tickets you want and you get your final price.

Answer:

99   (cm^2)

Step-by-step explanation:

Perpendicular to the AB segment at points D and C, the graph is divided into two triangles and a rectangle.

The area of the middle rectangle is equal to 8*9=72. The hypotenuse of the right triangle is 10cm, and one of the right sides is 9cm, so the other side is SQRT (10^2-9^2) = SQRT (19).

One side of the left triangle is 9cm long and the other side is 14-8-sqRT (19) = 6-sqRT (19) cm.

Then, add the area of the three parts.

72+9*sqrt（19）/2+9*（6-sqrt（19））/2=99    (cm^2)

Answer: The dimensions are that 2 sides are 5 inches and two are 10 inches.

Step-by-step explanation:

The are is 50 so the dimensions should equal 50 when you do height times width. So 5*10=50 and 5+5+10+10=30

Answer:

30 palindromes!!!!!!!

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

zero cannot be the first digit of the palindromes. There are nine other numbers that can be.

9 * 10

The last digit also cannot be zero so it has the same value as the first digit. (Otherwise the number cannot be palindromic) So you are really looking at only 90 numbers total.

That's not the question, but it does put a limit on how many there can be.

Let's find the first number (closest to 100 ) that is palindromic and divisible by 3.

I think 111 is the smallest.

Now what about the largest? That would be 999.

So what is the next number after 111? Wouldn't that be 141?

The difference between 111 and 141 is 30

It turns out that any first digit that is divisible by 3, has 4 palindromic numbers because for them, the second digit is a 0. So for 3 for example, you get

303

333

363

393

All the other numbers only have 3 entries for example, 1 gives you

111

141

171

So making a table we get

First digit                          Number of palindromes divisible by 3

1                                        3

2                                       3

3                                                   4

4                                       3

5                                       3

6                                                   4

7                                       3

8                                       3                                            

9                                                   4

                                       18         12

Total