321/1128 = x/376
Pls helpppp urgent

Using the formula of cubic structure,

a) Surface area of cube = 96 μM²

b) Volume of cube = 64 μM³

c) surface to voulme ratio = 1.5μM⁻¹

Cube Structure :

A cube is a three-dimensional solid shape with six faces. A cube is one of the simplest shapes in three-dimensional space. All six sides of a cube are square, a two-dimensional shape.

A cubic shape is sometimes considered a "cube". A cube can also be viewed as a block with equal length, width, and height. Also, there are 8 vertices and 12 edges, so 3 edges meet at the vertex.

Cube surface area = 6a² square units

where 'a' is a side of the cube

Cube volume = a³cubic units

We have given that

A six sided of each length 4 micrometer shape is known as cube.

that is side of cube (a) = 4 micrometer

Using the above formulae,

(a) Surface area of a cube= 6a²= 6x 4²

=96 μM²

(b)Volume of a cube= a³= 4x4x4=64 μM³

(c)surface to volume ratio is fraction of surface area of cube to the volume of cube .

= 96 μM²/64 μM³ = 1.5μM⁻¹

Larger cells will have decreased surface to volume ratio. It means, its surface area is too small to supply its raw materials to its volume.

Hence, the required volume is 64 μM³ and surface area of cube 96 μM².

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Answer:

D: {-4, -1, 4}

R: {0, 2}

Step-by-step explanation:

The domain of a relationship is the possible values of x. On the other hand, the range is the possible values of y. To write out the domain and range of a discrete relationship simply write the given x and y values. The x values are -4, -1, and 4. Set notation is written least to greatest and uses brackets, so the domain is {-4, -1, 4}. Do the same for the range and remember that numbers should not repeat in set notation. This gives you {0, 2}.

We need to know about test statistic to solve the problem. The formula we will need to calculate test statistic is  (sample mean- population mean)/(standard deviation/\(\sqrt{size of sample}\))

Test statistic is a number calculated by a statistical test. It describes how far the observed data is from the null hypothesis of no relationship between variables or no difference among sample groups. The test statistic can be calculated using the sample mean, the population mean and population standard deviation.

test statistic= (sample mean- population mean)/(standard deviation/\(\sqrt{size of sample}\))

Therefore the formula to calculate the test statistic will be (sample mean- population mean)/(standard deviation/\(\sqrt{size of sample}\))

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Answer:

Look at images below for a answer of:

Revenue: $71,014

Profits: $44,029

Image Below;

(Take a look at the image and zoom in on all of the images in that one image)

Answer made by Ehie, Discord: BenjiDev#3349

Ahhh I think that is cheating?

Soz I know the anaswer but I cant tell you have to do by your self to learn you can't always ask for answers :<

Answer:

y is the answer of 2 + 3 times a unknown number( x is that unknown number)

Step-by-step explanation:

Answer:

  0

Step-by-step explanation:

Multiplying the first equation by xy, we have ...

  x^2 +y^2 = -xy

Factoring the expression of interest, we have ...

  x^3 -y^3 = (x -y)(x^2 +xy +y^2)

Substituting for xy using the first expression we found, this is ...

  x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0

The value of x^3 -y^3 is 0.

The required we can reject the null hypothesis and accept the alternative hypothesis.

Based on the given p-value of 0.045 and a significance level of 0.05 (or 5%), we can draw the following conclusion:

Since the p-value (0.045) is less than the significance level (0.05), we have evidence to reject the null hypothesis. In other words, there is sufficient statistical evidence to conclude that there are significant differences among the groups being compared in the ANOVA F test.

Therefore, we can reject the null hypothesis and accept the alternative hypothesis, indicating that there are statistically significant differences between at least two of the groups being compared.

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The integral of (42³ - 2r + 7) dz is equal to (42³ - 2r + 7)z + C.

To integrate the function (42³ - 2r + 7) dz, we treat r as a constant and integrate with respect to z. The integral of a constant with respect to z is simply the constant multiplied by z:

∫ (42³ - 2r + 7) dz = (42³ - 2r + 7)z + C

where C is the constant of integration.

Note: The integral of a constant term (such as 7) with respect to any variable is simply the constant multiplied by the variable. In this case, the variable is z.

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Answer:

5.64 × 10^5

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

Consider the Fibonacci series:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ...

Ignore the first 3 terms ( keys)

f(5)/f(4) = 5/3 = ~1.67

f(6)/f(5) = 8/5 = 1.60

f(7)/(f6) = 13/8 = ~1.63

f(8)/f(7) = 21/13 = ~1.61

f(9)/f(8) = 34/21 = ~1.62

f(10)/f(9) = 55/34 = ~1.62

...

=> Option A is the solution

Answer:

i) 12a

ii) a³

iii) 3a²

Step-by-step explanation:

3a × 4 = 12a

a² × a = a³

6 × (1/2)a² = 3a²

I hope this helps!

Answer:

We have two expressions, let's see if they are true or not:

A: (9k - 8)*(9k + 8) = 81*k^2 + 64

To prove this, we only need to start in the left side and see if we can construct the right side:

(9k - 8)*(9k + 8) = (9k)*(9k) + (9*k)*8 - (9k)*8 + 8*(-8)

                         = (9k)^2 - 8^2

                         = 9^2*k^2 - 64  = 81*k^2 - 64

This is different than the thing in the original equation, then this one is not an identity.

B) (3m +2n)(6m – 4n) = 18m^2 – 8n

Same as before, we start at the left side and work it out.

(3m + 2n)*(6m - 4n) = (3m)*(6m) + (3m)*(-4n) + (2n)*(6m) + (2n)*(-4n)

                                = 18*m^2  -12*m*n + 12*m*n - 8*n^2

                                = 18*m^2 - 8*n^2

Notice that here we have an "n^2" while in the original equation we have only an "n".

This may be an error in the question and the exponent is missing, in that case, this equation would be an identity, but it is not as how is written in the question.

Then neither A nor B are correct.

Answer:

only b

Step-by-step explanation:

The equation:

4x + c = 2*(2x - 4)

Solved for c gives c = 4.

We know that 4x+c is equivalent to 2(2x-4), then we can write an equation:

4x + c = 2*(2x - 4)

And we want to solve this for c, this means that we need to isolate the variable c.

If we subtract 4x in both sides we will get:

c = 2*(2x - 4) - 4x

Now we can simplify the right side:

c = 2*2x - 2*4 - 4x

c = 4x - 4 - 4x

c = 4

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Answer:

helloooooo

Step-by-step explanation:

Answer:

a:1100....b:11000....c:110000

Step-by-step explanation:

Answer: A= 1100

B= 11000

C= 110000

Step-by-step explanation:

Answer:

The answer is the last one: One runner in the study runs 31...

Step-by-step explanation:

31 is the input (x) and 81 is the output (y) and since there's 1 ordered pair per runner, it's going to be one runner, and the input is the miles ran.

The point (31, 81) tells One runner in the study runs 31 miles per week and has a standing heart rate of 81 beats per minute.

In mathematics, data is a collection of facts and figures that can take any shape, whether it be numerical or not. You can calculate numerical data, which is always gathered in number form and includes things like student test results, employee salaries, football team member heights, etc.

Given:

The college track coach conducts a study to see if the number of miles a person runs per week affects the standing heart rate (beats per minute).

So, the point (31, 81) tells that the runner run 31 miles this week with hear rate 81 beats / min

Hence, point (31, 81) tells One runner in the study runs 31 miles per week and has a standing heart rate of 81 beats per minute.

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Answer: the first term in the sequence is 9.

Step-by-step explanation:

Let the primary term be x.

At that point the moment term is 2x + 4.

And the third term is 2(2x + 4) + 4 = 4x + 12.

Since the third term is given as 48, we will set up an condition and unravel for x:

4x + 12 = 48

4x = 36

x = 9

Given:

Consider the given polynomials are:

\(f(x)=7x^3+x^2-4x+10\)

\(g(x)=x^2-5\)

To find:

The polynomial function rule for \(g(x)+f(x)\).

Solution:

We need to add both functions to get \(g(x)+f(x)\).

\(g(x)+f(x)=(x^2-5)+(7x^3+x^2-4x+10)\)

\(g(x)+f(x)=x^2-5+7x^3+x^2-4x+10\)

On combining like terms, we get

\(g(x)+f(x)=7x^3+(x^2+x^2)-4x+(10-5)\)

\(g(x)+f(x)=7x^3+2x^2-4x+5\)

Therefore, the required function is \(g(x)+f(x)=7x^3+2x^2-4x+5\).

Answer:

you should use minimum 8 black cur

Answer:

1900 km

Step-by-step explanation:

train = 1050km

bus = 200 less than train or 1050-200 = 850

1050+850=1900

Answer:

625, just got it right

Step-by-step explanation:

The within-group estimate of variance is the estimate of the variance of the population of individuals based on the variation among the scores in each of the actual groups studied.

The within-groups estimate of variance is the estimate of the variance of the population of individuals based on the variation among the:
Scores in each of the actual groups studied.
This estimate represents the variation within each group and helps in understanding the population's variance by looking at individual differences within the groups.

The estimated within-group variance is the sum of the within-group variances for each group in the model. Effectively, this is the sum of the variance of each value (j) from its group (i) divided by the sample size minus one.

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Answer:

so-

Step-by-step explanation:

-2x is not like terms because it has a variable. yup.

I hope this helps bro:)

- Alie♥

Given:

The length of field is n yards.

The length of a field in feet is a function f(n).

To find:

The function rule for this situation.

Solution:

We know that,

1 yard = 3 feet

Using this conversion, we get

n yard = 3n feet

The length of field is n yards. So, the length of the field is 3n feets.

The length of a field in feet is a function f(n). So,

\(f(n)=3n\)

Therefore, the required function rule for this situation is \(f(n)=3n\).

y = 248 - 2x

good luck :))))

5x+6y is the answer i jope this helps you

The effect on the surface area is best described by the statement "the surface area is multiplied by 1/4." The correct option is D.

Given that the radius of a right cone is 5 ft and the slant height is 9 ft. If the radius and slant height of the cone are both multiplied by 1/2, then the new radius of the cone will be:5 × (1/2) = 2.5 ft

New slant height of the cone will be:9 × (1/2) = 4.5 ft. The surface area of a cone can be given by the formula:

S = πrl + πr²   Where r is the radius of the base, l is the slant height of the cone, and π is a constant (3.14). The surface area of the original cone can be calculated as:

S1 = π × 5 × 9 + π × 5² = 141.37 ft².  Now, if we multiply the radius and slant height by 1/2, the new surface area of the cone will be:S2 = π × 2.5 × 4.5 + π × 2.5² = 17.67 ft².  

Therefore, the ratio of the new surface area to the original surface area will be:S2/S1 = 17.67/141.37 = 0.125Thus, the new surface area is 1/8th (0.125) of the original surface area or multiplied by 1/8th (1/2 × 1/4). So, the surface area is multiplied by 1/4.

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The value of inductor is $L = 408.25 mH. The value of L is 408.25 mH.

Given transfer function is as follows: \frac{V_{2}(s)}{V_{1(s)}} = \frac{2s}{s^2+2s+6}

Now, comparing the given transfer function with a general second order transfer function of the form:

\frac{V_{out}(s)}{V_{in}(s)} = \frac{ω_n^2}{s^2 + 2ζω_n s + ω_n^2}

We get the following values:

ω_n^2 = 6, and 2ζω_n = 2$So, we have ζ = \frac{1}{\sqrt{6}}

Now, the circuit can be represented in Laplace domain as follows:

V_1(s) - I(s)R - \frac{1}{sC}V_2(s) = 0\Rightarrow V_1(s) - I(s)R = \frac{V_2(s)}{sC}Also, we have $$I(s) = \frac{V_2(s)}{Ls}

Solving these equations, we get:

\frac{V_2(s)}{V_1(s)} = \frac{s^2}{s^2 + \frac{sR}{L} + \frac{1}{LC}}\frac{2s}{s^2+2s+6} = \frac{s^2}{s^2 + \frac{sR}{L} + \frac{1}{LC}}

Comparing the above two equations, we get:

\frac{sR}{L} = 2, \frac{1}{LC} = 6\ Rightarrow R = 2\sqrt{6}L, \text{ and } \frac{1}{LC} = 6\ Rightarrow C = \frac{1}{6L^2} = 500\mu F

Solving, we getL = 408.25mH

Hence, the value of inductor is $L = 408.25 mH$. Therefore, the value of L is 408.25 mH.

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Answer:  4

Step-by-step explanation:

Given when y = 2,   x =  -2

Therefore  2 = -2 + ?

? = 2 + 2

? = 4

Answer:

85

Step-by-step explanation:

85 is half way between 60 and 110.

Half way means the middle point from where both the point are at equal distance.

Given two numbers as follows:

Number1=60

Number2=110

To calculate a half way number between two number as follows:

=(Number1+Number2)/2

=(60+110)/2

=85

To check weater 85 is half way between 60 and 110

subtract 60 from 85 we get 25

subtract 85 from 110 we get 25

Thus both the numbers are  25 units away from 85.

So, 85 is half way between 60 and 110.

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