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2/9 ÷ 1/2 gives you 4/9 , hope this helps you

Answer: The answer to this basic math question about dividing the basic fractions with 2 given basic fractions is \(\frac{4}{9}.\)

Step-by-step explanation: As always to remember, dividing 2 fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction, so here are 2 basic steps in order to divide 2 given basic fractions:

Step 1. First, let's take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication that looks in the equation form like this: \(\frac{2}{9}*\frac{1}{2}=?\)

Step 2. Last but not least is fraction multiplication, for fraction multiplication, let's multiply both numerators and the denominators that looks in the equation form like this: \(\frac{2*2}{9*1}=\frac{4}{9}.\)

Hence, this fraction can't be reduced, so therefore, your answer to this basic math question about dividing the basic fractions with 2 given basic fractions is \(\frac{4}{9}.\)

I hoped that my full given basic answer with my full given basic step-by-step explanation is very helpful to your own math question about dividing the basic fractions with 2 given basic fractions, please mark me as Brainliest, take care, always be safe, and have a great rest of the weekend! :D

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Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

Answer:

b) a comparison between two numbers or quantities that are not equal

Step-by-step explanation:

The best definition of an inequality is comparison between two numbers or quantities that are not equal (≠). Therefore, the option (b) is the correct answer.

Answer:

7 inches

Step-by-step explanation:

formula for a trepezoid is 1/2(a+b)*h

1/2(5+x)X3=18 (now make x the subject)

(5+x)X3=36

5+x=12

x=7

so the other base is 7in

Answer:

4 edges

Step-by-step explanation:

the shape is a cube

Answer: 12

Step-by-step explanation:

Euler’s formula: F + V - E = 2

6 + 8 - E = 2

14 - E = 2

You find E by subtracting 14 with 2

14 - 2 = 12

E = 12

Answer:

0

Step-by-step explanation:

0 is considered a whole number, but it is not a natural number.  The natural numbers start at +1 and go forward.  ) is not positive or negative, but being that it is a whole number, it is also a rational number.

Answer:  2/3

Step-by-step explanation:

Since the line is going through the origin it slope will use the formula  y/x = k where k is the slope. So you can use any point on the number line to determine the slope.

use the point (3,2)  using the formula y/x = k   divide the y by x.

k = 2/3

Answer: 0.67

Step-by-step explanation:

Look at the points (3,2), (6,4), and (9,6)

The area οf the circle is 30.25π square centimeters

The circumference, which is the perimeter οf a circle οr ellipse in geοmetry, cοmes frοm the Latin circumferens, which means "carrying arοund." The circumference wοuld be the length οf the circle's arc, if the circle were οpened up and straightened οut tο a line segment, in οther wοrds.

The fοrmula fοr the circumference οf a circle is C = 2πr, where C is the circumference and r is the radius. We can rearrange this formula to solve for the radius:

\(r = C / (2\pi)\)

Substituting the given circumference of 11π cm, we get:

\(r = 11\pi / (2\pi) = 5.5\)

Now that we know the radius, we can use the formula for the area of a circle to find the area:

\(A = \pi r^2\)

Substituting the value we found for the radius, we get:

\(A = \pi (5.5)^2 = 30.25\pi\)

Therefore, the area of the circle is 30.25π square centimeters.

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Answer:

The right option is option e.T-shaped.

Step-by-step explanation:

The molecular geometry or shape of clf3 is T-shaped. It acquires such shape because of presence of two lone pairs which take equatorial position and there are greater repulsions. The hybridisation is sp3d and it has 2 lone pairs

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Option e) T-shaped

The shape or molecular geometry  of ClF₃ is T-shaped. It acquires such a shape due to the presence of two lone pairs in the equatorial position and has greater repulsion. The hybrid is sp³d and it has 2 lone pairs.

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There are 969 methods for the quality control inspector to randomly check 5 smartphones, of which 2 are defective, from the shipment of 21 smartphones.

We can solve this problem using combinations formula, that is a way of counting the number of ways to select k objects from a fixed of n items without regard to order. The range of combinations of k items from a fixed of n objects is given via:

\(C(n, k) = n! / (k! * (n-k)!)\)

in which:

In this situation, we want to pick out 2 defective smartphones out of 2 defective smartphones and 19 non-defective smartphones, and we need to pick out out three non-defective smartphones out of the ultimate 19 non-defective smartphones.

Consequently, the number of approaches to choose 2 defective smartphones and 3 non-Defective smartphones from the set of 21 smartphones is:

\(C(2, 2) * C(19, 3) = 1 * (19! / (3! * 16!)) = 191817 / (321) = 969\)

Therefore, there are 969 methods for quality control.

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Answer:

Mean = 23

Median = 24

Mode = 24

Step-by-step explanation:

Mean:  The sum of all data values divided by the total number of data values.

⇒ Mean = (24 + 20 + 26 + 24 + 21) ÷ 5 = 23

Median:  The middle value when all data values are placed in order of size.

Ordered data values:  20, 21, 24, 24, 26

⇒ Median = 24

Mode:  The most frequently occurring data value.

20, 21, 24, 24, 26

⇒ Mode = 24

Answer:

\((4,2)\)

Step-by-step explanation:

In our graph only \((4,2)\) makes sense

The last one makes an upside-down triangle which is not what we're looking for

The third one makes a weirdly shaped one which we're not looking for

The second one doesn't look like the triangle we're looking for so it's incorrect

This means the first one is correct

Brainliest please

The equation of the curve is y = 5e^(9x^7)

To find the equation of the curve that satisfies the given differential equation and has a y-intercept of 5, we first need to separate the variables and integrate both sides.
dy/dx = 63y*x^6
Dividing both sides by y and multiplying by dx:
1/y dy = 63x^6 dx
Integrating both sides:
ln|y| = 9x^7 + C
where C is the constant of integration.
To find the value of C, we can use the fact that the curve passes through the point (0, 5). Substituting x = 0 and y = 5 in the above equation, we get:
ln|5| = C
C = ln|5|
So the equation of the curve is:
ln|y| = 9x^7 + ln|5|
Exponentiating both sides:
|y| = e^(9x^7 + ln|5|)
Since y-intercept is positive (5), we can remove the absolute value sign:
y = 5e^(9x^7)
This is the equation of the curve that satisfies the given differential equation and has a y-intercept of 5.

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Answer: x<−6

Step-by-step explanation:

Answer:Corporations step up their expansion plans and thus increase their demand for capital.

Step-by-step explanation:

The optimal allocation is x = -1/2, y = 3/2, with a shadow price of 1.50.

To maximize profit, the firm needs to determine the optimal allocation of inputs x and y within the budget constraint of $100.

Let's assume the firm uses 'a' units of input x and 'b' units of input y. Since each unit of x costs $2 and each unit of y costs $3, the total cost constraint can be expressed as:

2a + 3b ≤ 100

To maximize profit, we need to differentiate the profit function P(x, y) with respect to both inputs and set the derivatives equal to zero:

∂P/∂x = 2y - 3 = 0 ---> y = 3/2

∂P/∂y = 2x + 1 = 0 ---> x = -1/2

However, x and y cannot have negative values, so these values are not feasible. To find the feasible values, we can substitute the values of x and y into the cost constraint:

2(-1/2) + 3(3/2) = 0 + 9/2 = 9/2 ≤ 100

This constraint is satisfied, so the feasible allocation is x = -1/2 and y = 3/2.

To find the shadow price, we need to determine the rate at which the maximum profit would change with respect to a one-unit increase in the budget constraint. We can do this by finding the derivative of the profit function with respect to the cost constraint:

∂P/∂(2a + 3b) = λ

Where λ represents the shadow price or the marginal value of an additional dollar in the budget. In this case, λ is the shadow price.

Taking the derivative of the profit function with respect to the cost constraint:

∂P/∂(2a + 3b) = ∂(2xy - 3x + y)/∂(2a + 3b) = 0

2y - 3 = 0 ---> y = 3/2

Thus, the shadow price (λ) is 3/2 or 1.50 when rounded to two decimal places.

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Answer: C Is the answer  

Step-by-step explanation:

All four statements given about logarithms are true.

The logarithm is exponentiation's opposite function in mathematics.

This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.

The solution of a logarithm can be zero as anything raised to the power zero is 1.

The x inside the logarithm can never be zero as there are no such numbers and their exponent which results in zero.

The argument inside a logarithm must always be greater than zero.

The x inside the logarithm must always be greater than zero is also true.

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Answer:

-1

Step-by-step explanation:

You just have to divide the change in the x axis by change in the y axis on any arbitrary interval.

Answer:

-1

Step-by-step explanation:

Do rise-over-run for linear equations. Its the vertical change over the horizontal change between two points. Ex. between (-2,0) and (-1,-1) the line drops 1 unit horizontally (-1) and moves to the right one unit (1) so the slope would be -1/1 = -1

Answer: t= 75m+210

Step-by-step explanation:

Linear equation: y= nx+c

, where n =rate of change of y with respect to x, c= initial value of y

Let m= number of  additional months the company receives objects .

t =total number of objects in the company.

Given: Number of objects received per month = 75. (Rate of change of t w.r.t. m)

Current number of objects = 210   (Initial value)

Then, t= 75m+210

Hence, the required algebraic equation: t= 75m+210

The life length in hours is exceeded by 95/5% of the light bulbs is 1329 hours.

To find the life length in hours that is exceeded by 95% of the light bulbs, we need to determine the corresponding z-score for the 95th percentile and use it to calculate the value.

Since the distribution is assumed to be normal, we can use the standard normal distribution (z-distribution) to find the z-score. The z-score represents the number of standard deviations an observation is above or below the mean.

To find the z-score corresponding to the 95th percentile, we look for the z-value that corresponds to a cumulative probability of 0.95. This value can be obtained from standard normal distribution tables or using a statistical software/tool.

For a cumulative probability of 0.95, the corresponding z-score is approximately 1.645.

Once we have the z-score, we can calculate the exceeded life length as follows:

Exceeded life length = Mean + (Z-score * Standard deviation)

Exceeded life length = 1000 + (1.645 * 200)

Exceeded life length ≈ 1000 + 329

Exceeded life length ≈ 1329 hours

Therefore, approximately 95% of the light bulbs will have a life length that exceeds 1329 hours.

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Answer:f(x)=−9x+11

Step-by-step explanation:

Answer:

In this case, we can do substitution.

Step-by-step explanation:

For the first one, (s - t)(x) = ((x - 5) - 4x^2)(x) = x^2 - 21x

For the second one, (s*t)(x) = ((x - 5) *4x^2)(x) = 4x^4 - 20x^3

And for the last one,  (s+t)(-2) = ((x - 5) + 4x^2)(-2) = -8x^2 - 2x + 10

Hope your happy with the answer :)

Answer:

b = 14

c = -2

d = 74

Step-by-step explanation:

use calculator

b = 4 - (-10)

c = 6 ÷ (-3)

d = (7×7) + (5×5)

we can estimate that the proportion of defectives being produced by the machine is around 0.316.

What is proportion?

A comparison between the size, number, or amount of one thing or group with that of another. In our class, there are three boys for everyone lady.

If the random sample of size 2 yields 2 defects, that means both items in the sample were defective. Let p be the proportion of defectives being produced by the machine.

The probability of selecting a defective item on the first draw is p, and the probability of selecting a defective item on the second draw is also p (assuming sampling without replacement).

Since both items were defective, the probability of this happening is p * p = p².

So,

p² = (number of samples with 2 defects) / (total number of samples)

We don't know the values of these numbers, but we can use them to estimate p. For example, if we had a total of 100 samples and 10 of them had 2 defects, then:

p² = 10/100 = 0.1

p ≈ √(0.1) ≈ 0.316

Hence, we can estimate that the proportion of defectives being produced by the machine is around 0.316.

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The y-intercept of a line is the point where the line crosses the y-axis is y=-5.  

In this case the y-intercept is y= -5.

To find the y-intercept, we can use the equation y=mx+b, where m is the slope and b is the y-intercept. To find the slope, we can use the formula m=\((y2-y1)/(x2-x1)\), which in this case would be m= -2

Now, we can plug this value into the equation y= mx+b , and solve for b. We get y=-2x-b, so we can add 2x to both sides and get b=y+2x. Substituting in the point (2,7), we get b=7+2(2)=-5. Thus, the y-intercept is -5.

Alternatively, we can graph the line using the two points and see that it crosses the y-axis at -5.

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Answer:

  (a)  $810.45

Step-by-step explanation:

You want the value of an investment of $300 earning 5% interest compounded quarterly for 20 years.

The compound interest formula tells you the value is ...

  A = P(1 +r/n)^(nt)

where P = 300, r = 0.05, n = 4, t = 20.

Using the given parameters in the given equation, you find the account value to be ...

  A = $300(1 +0.05/4)^(4·20) ≈ $810.45

__

Additional comment

The "rule of 72" tells you the account value will approximately double in a number of years equal to 72 divided by the interest rate percentage: 72/5 = 14.4 years. After 20 years, it will be worth more than that doubled amount, $600. This only leaves one reasonable answer choice.

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Answer:

It would take the fish approximately 22 seconds to swim 100 yards.

Step-by-step explanation:

To find the time it takes the fish to swim 100 yards, we need to first convert the distance to yards. Since 1 yard is equal to 3 feet, 100 yards is equal to 300 feet. We can then divide the distance in feet by the speed in feet per second to find the time in seconds:

Time = Distance / Speed

= 300 feet / 33 feet per second

= approximately 22 seconds

Therefore, it would take the fish approximately 22 seconds to swim 100 yards.

Answer:

Step-by-step explanation:

f(x) = x - 5 and g(x) = 5x

- f(x + 1) = - ( x + 1 - 5 ) = 4 - x

- 3g(x - 1 ) = - 3 [ 5 (x - 1)] = 15 - 15x

h(x) = 4 - x + 15 - 15x = 19 - 16x

h(3) = 19 - 16(3) = - 29

Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

The system with impulse response g(t, t) = e^(-2|t|^-|t|) is not BIBO stable, while the system with impulse response g(t, t) = sin(t)e^(-(-t^2)) is BIBO stable.

To determine if a system is BIBO (Bounded-Input Bounded-Output) stable, we need to analyze the impulse response of the system.

For the first system with impulse response g(t, t) = e^(-2|t|^-|t|), let's examine its behavior. The function e^(-2|t|^-|t|) decays rapidly as |t| increases. However, it does not decay fast enough to satisfy the condition for BIBO stability, which requires the integral of |g(t, t)| over the entire time axis to be finite. Since the integral of e^(-2|t|^-|t|) diverges, the first system is not BIBO stable.

For the second system with impulse response g(t, t) = sin(t)e^(-(-t^2)), the term e^(-(-t^2)) represents a Gaussian function that decays exponentially. The sinusoidal term sin(t) can oscillate, but it is bounded between -1 and 1. As the exponential decay ensures that the impulse response is bounded, the second system is BIBO stable.

In summary, the system with impulse response g(t, t) = e^(-2|t|^-|t|) is not BIBO stable, while the system with impulse response g(t, t) = sin(t)e^(-(-t^2)) is BIBO stable.

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