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Answer:

4

Step-by-step explanation:

The square of 100 means that 100 is being multiplied by itself. So the square of 100 is 100x100 = 10,000

Whenever you multiply a number by a multiple of 10, you simply add the number of 0s onto the end of the original number, so 100 originally has 2 zeros, so multiplying by 100 will add on another 2 zeros.

So, the number 10,000 which is the square of 100 has 4 zeros.

Hope this helped!

Using the concept of the equation, it can be concluded that Levi answered the first question wrong and the last two correctly. Thus,

No

Yes

Yes

To check the value of x satisfies the equation, put the value of x and if it matches the resultant, it is correct.

Now solving the first part, x/4=20;x=5

So, putting x=5 in the equation 5/4=1.25 is not matching with the resultant ie. 20.

Therefore, this is the incorrect value of x.

Now solving the second part, 1.5x-8=7;x=10

So, putting x=10 in equation 1.5*10-8= 15-8=7

It matches with the resultant.

Therefore, this is the correct value of x.

Now solving the third part, 4x+6=58; x=13

So, putting x=13 in equation 4(13)+6= 52+6=58

It matches with the resultant.

Therefore, this is the correct value of x.

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So,

We know that the car moves at 45 miles / hour.

The distance can be described as:

Where s is the speed of our car and t is the time. If we replace:

As you can see, the dependent variable of this equation is the distance, and it depends of the time travelled.

Answer:

Ohh Pythagorean theorem question! Well, A squared plus B squared = C squared, so 44.82187.

The 100%-Norm.Dist(value,mean,sd,true) percent of the population has an iq over 115

According to the statement

we have to find that the what percent of the population has an iq over 115.

And from given information,

the mean iq score is 100 and the standard deviation is 15.

And

Normal distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

And by use of this formula, we find the percentage of the population has an iq over 115.

Then the result will comes as 100%.

hence, 100%-Norm.Dist(value,mean,sd,true)

So, The 100%-Norm.Dist(value,mean,sd,true) percent of the population has an iq over 115.

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Answer:

y-intercept is = 7

Step-by-step explanation:

Answer:

90 degres celcius

Step-by-step explanation:

correct or not

a) The probability that both bulbs are defective is approximately 0.047.

b) The probability that at least one of the bulbs is defective is approximately 0.386. These probabilities were calculated using the binomial distribution with n = 2 and p = 13/60 for defective bulbs.

We can use the binomial distribution to solve this problem. Let X be the number of defective bulbs in a sample of size 2, with replacement. Then X follows a binomial distribution with n = 2 and p = 13/60 for defective bulbs.

a) The probability that both bulbs are defective is:

P(X = 2) = (2 choose 2) * (13/60)^2 * (47/60)^0

= 1 * (169/3600) * 1

= 169/3600

≈ 0.047

Therefore, the probability that both bulbs are defective is approximately 0.047.

b) The probability that at least one of the bulbs is defective is:

P(X ≥ 1) = 1 - P(X = 0)

= 1 - (2 choose 0) * (13/60)^0 * (47/60)^2

= 1 - 1 * 1 * (2209/3600)

= 1391/3600

≈ 0.386

Therefore, the probability that at least one of the bulbs is defective is approximately 0.386.

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The area of the  trapezoid yard is 225 square yards. Option A

The area of a trapezoid is given by the formula

Area = 1/2 × (base1 + base2)× height

We've been told that the trapezoid yard has base lengths of 11 yards and 14 yards, and height 18 yards. If we insert these figures to the formula it would be

Area = 1/2 ×(11 yards + 14 yards)×18 yards

Area = 1/2× 25 yards ×18 yards

Area = 225 yards²

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Find the derivative of the function. Remember to use logarithmic properties before differentiating.



y = x(3^2x)​

______________________________

y= u(x) v(x)

u(x) = x

v(x) = 3^2x

_____________

u'(x) = 1

____________

y = a ^f (x)

y'= f '(x) a ^f (x) (ln a)

v(x) = 3^2x

v'(x) = 2 * 3^2x* ln (3)

_______________

dy/ dx = u'(x)v(x) + u(x) v'(x)

dy/ dx = 1* 3^2x + x *2 * 3^2x* ln (3)

dy/ dx = 3^2x (1+2x* ln (3))

________________

Answer

dy/ dx = 3^2x (1+2x* ln (3))

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The value of a(t) is -1 and b(t) is 55 + \(e^t\)

No, the given equation y' - y = 55 + \(e^t\) is not in the standard form of a first-order linear differential equation.

In the method for solving a first-order linear differential equation, an integrating factor is a function used to transform the equation into a form that can be easily solved.

For an equation in the standard form y' + a(t)y = b(t), the integrating factor is defined as:

μ(t) = e^∫a(t)dt

To solve the equation, you multiply both sides of the equation by the integrating factor μ(t) and then simplify. This multiplication helps to make the left side of the equation integrable and simplifies the process of finding the solution.

To put it in standard form, we need to rewrite it as y' + a(t)y = b(t).

Comparing the given equation with the standard form, we can identify:

a(t) = -1

b(t) = 55 + \(e^t\)

Therefore, The value of a(t) is -1 and b(t) is 55 + \(e^t\)

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Answer:

The market up is 11.5$.......

Answer:

1/5 or 0.2

Step-by-step explanation:

1/4 x 4/5 =

=1x4/4x5
=4/20 -OR- 1/5 -OR- 0.2

Answer:

B.

Step-by-step explanation:

Irrational means it can't be written as a fraction.

The maximum profit the vendor can make in one day is $2,100 when he sells 2000 cans of soda.

The profit function for the soft drink vendor can be expressed as:

p(x) = -0.001x^2 + 4x - 1900

Here, x represents the number of cans of soda sold in one day, and p(x) represents the profit in dollars.

To find the maximum profit, we can use calculus. We need to find the value of x that maximizes the profit function p(x). The maximum profit occurs at the vertex of the parabola represented by the profit function.

The x-coordinate of the vertex can be found using the formula:

x = -b / (2a)

In this case, a = -0.001 and b = 4. Plugging in these values, we have:

x = -4 / (2 * -0.001)

x = -4 / -0.002

x = 2000

Therefore, the soft drink vendor will maximize his profit when he sells 2000 cans of soda in one day. To find the maximum profit, we can substitute this value back into the profit function:

p(2000) = -0.001(2000)^2 + 4(2000) - 1900

p(2000) = -0.001(4,000,000) + 8,000 - 1900

p(2000) = -4,000 + 8,000 - 1900

p(2000) = 2,100

Hence, the maximum profit the vendor can make in one day is $2,100 when he sells 2000 cans of soda.

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Answer:2 3/4 for mixed                11/4 for  improper

Step-by-step explanation:

Answer:

-5n + 16

Step-by-step explanation:

Distribute the 7 to the equation inside the parenthesis.

7(n + 1) - 12n + 9

7n + 7 - 12n + 9

Bring the -12n towards the 7n.

7n - 12n + 7 + 9

Add or subtract like terms.

7n - 12n + 7 + 9

  -5n     +   16  

Answer:

-5n + 16

Answer:

A, B, and C

Step-by-step explanation:

Since there are no right angles, 89 is too close to 90 which is a right angles (which there are no angles even close to 90) and 94 would be too large since all angles are less than 90 degrees.

Answer:

x=9

Step-by-step explanation:

step 1. restate the equation

2x+10=28

step 2. subtract 10 from both sides of the equations

2x+10-10=28-10

2x=18

step 3. get x alone by dividing 2 from both sides

2x/2=18/2

step 4. the answer

x=9

a. To calculate velocity, we need to take the derivative of the position function, r(t). So, the formula for velocity is v(t) = r'(t) = [sqrt(2)(e^t - e^-t) + sqrt(2)t(e^t + e^-t)]a.

b. To calculate acceleration, we need to take the second derivative of the position function, r(t). So, the formula for acceleration is a(t) = r''(t) = [sqrt(2)(e^t + e^-t) + sqrt(2)t(e^t - e^-t) + 2sqrt(2)t(e^t + e^-t)]a.

c. To calculate distance, we need to integrate the velocity function, v(t), over a certain time interval. So, the formula for distance is d(t1, t2) = ∫[t1, t2] v(t) dt = ∫[t1, t2] [sqrt(2)(e^t - e^-t) + sqrt(2)t(e^t + e^-t)]a dt.

d. To calculate position, we need to integrate the acceleration function, a(t), twice over a certain time interval. So, the formula for position is r(t1, t2) = ∫[t1, t2] ∫[t1, t] a(s) ds dt + r(t1), where r(t1) is the initial position at time t1.


a. Velocity (v) can be calculated using the derivative of the position function r(t). In this case, v(t) = dr(t)/dt.

b. Acceleration (a) can be calculated using the derivative of the velocity function v(t). So, a(t) = dv(t)/dt.

c. Distance (d) can be calculated by finding the definite integral of the velocity function v(t) with respect to time over a specific interval. In other words, d = ∫|v(t)|dt, where the integration limits correspond to the interval of time you're interested in.

d. Position (r) is given by the function r(t) = sqrt(2)t * e^t * e^(-t), which represents the position of the object at any given time t.

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option C is the correct answer. sin β = 15 / 17

Given data

Right angled triangle has sides

opposite = 15

adjacent = 8

Hypotenuse = 17

sin β = opposite / hypotenuse

substituting the values gives

sin β = 15 / 17

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According to Sturge's rule, number of classes or bins recommended to construct a frequency distribution is k ≈ 7

Sturge's Rule: There are no hard and fast guidelines for the size of a class interval or bin when building a frequency distribution table. However, Sturge's rule offers advice on how many intervals one can make if one is genuinely unable to choose a class width. Sturge's rule advises that the class interval number be for a set of n observations.

Given,

n = 66

We know that,

According to Sturge's rule, the optimal number of class intervals can be determined by using the equation:

\(k=1+log_{2} n\)

Here, n is equal to 66 and by substituting the value to the equation we get:

\(k=1+log_{2} (66)\)

k = 7.0444

k ≈ 7

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Answer:B

Step-by-step explanation:

20/5 = 4

4 x 3 =12

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

190x15/100=23.5

190-23.5=166.5

The introduction of harmful chemicals into the air is known as air pollution.

The chief causes of man-made air pollution include vehicle emissions, fuel oils and natural gas used to heat houses, byproducts of manufacturing and electricity generation, notably coal-fueled power plants, and odors from chemical manufacture.Industrial emissions, automobile emissions, and any other place where fossil fuels are burnt are all sources of atmospheric pollution, or air pollution. Another major contaminant that can cause ozone depletion is methane, which is released by landfills and cattle.

Air pollution can have long-term harmful consequences, such as acid rain, which pollutes the Earth’s bodies of water and ruins infrastructure.

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Answer:

you would take the amount of apples per row and multiply it by the amount of rows, so in this case it would be 55x5000 which is 275000

there's 275000 apples in all

There would be   1.302 x 10¹² cells in koala, and  there are  3.04 x 10^17 cells in the average hippo.

To find the number of cells in the average koala, we first need to find the volume of the koala in cubic centimeters, since we know the density of the cell and can use that to find the mass of the koala in grams.

The average weight of a koala is 6 kilograms, which is equivalent to 6,000 grams. We can use the density of the cell to find the volume of the koala:

Density = Mass / Volume

1.1 g/cm³ = 6,000 g / Volume

Volume = 6,000 g / 1.1 g/cm³

Volume = 5,454.54 cm³

Next, we need to find the volume of one cell:

Volume of cell = 4/3 * π * (0.001 cm)³

Volume of cell = 4.188 x 10⁻⁹ cm³

Finally, we can divide the volume of the koala by the volume of one cell to find the number of cells in the average koala:

Number of cells = 5,454.54 cm³ / (4.188 x 10⁻⁹ cm³)

Number of cells = 1.302 x 10¹²

Therefore, there are approximately 1.302 x 10¹² cells in the average koala.

To find the number of cells in the average hippo, we can follow the same process. The average weight of a hippo is 1,400 kilograms, which is equivalent to 1,400,000 grams. Using the density of the cell, we can find the volume of the hippo:

Density = Mass / Volume

1.1 g/cm^3 = 1,400,000 g / Volume

Volume = 1,400,000 g / 1.1 g/cm³

Volume = 1,272,727.27 cm³

Dividing the volume of the hippo by the volume of one cell, we get:

Number of cells = 1,272,727.27 cm³ / (4.188 x 10⁻⁹ cm³)

Number of cells = 3.04 x 10¹⁷

Therefore, there are approximately 3.04 x 10¹⁷ cells in the average hippo.

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Answer:

This is 4 quadrants picture