Mucus moves through our body at the speed of 5 mm per minute. If you were riding in a tiny mucus-powered bus through your body, how long would it take you to go to one meter?

Answer:

loss=54-52.5

Step-by-step explanation:

=1.5Rs

loss%=loss/CP×100

=1.5/54×100

2.78%

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The dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is 75 square meters

What is measurement?

Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena.

Let's assume that the rock wall is the width of the garden and the wire fencing is used for the length and the other two sides. Let's denote the length of the garden as L and the width as W.

Since we have 30 meters of fencing available, the total length of wire fencing used is:

L + 2W = 30 - W

Simplifying this equation, we get:

L = 30 - 3W

The area of the garden is:

A = LW

Substituting the expression for L from the previous equation, we get:

A = W(30 - 3W)

Expanding the expression, we get:

A = 30W - 3W²

To find the maximum area, we need to take the derivative of A with respect to W and set it equal to zero:

dA/dW = 30 - 6W = 0

Solving for W, we get:

W = 5

Substituting this value back into the expression for L, we get:

L = 15

Therefore, the dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is:

A = 5(15) = 75 square meters

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Answer:

An equation has an equal sign between two expressions, while an inequality has a ≤ or ≥ sign.

An expression for the total number of counters Elsie has in two bags, where each bag contains 'x' counters, is 2x.

A mathematical expression is the combination of numbers, constants, values, and variables, using algebraic operands.

The algebraic operands emanate from mathematical operations, including addition, subtraction, multiplication, division, exponentiation, and functions.

Mathematical expressions are unlike equations which have the equal symbol (=).

The total number of bags Elsie has = 2

Let the number of counters in each bag = x

2x

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It looks like the particle's acceleration is

a(t) = 3t²

and we're given the initial velocity and position to be v(1) = 2 and x(1) = 6.

(a) By the fundamental theorem of calculus, the velocity at time t is

v(t) = v(1) + ∫₁ᵗ a(u) du

v(t) = 2 + ∫₁ᵗ 3u² du

v(t) = 2 + u³ |₁ᵗ

v(t) = 2 + (t³ - 1³)

v(t) = t³ + 1

(b) Use the theorem again to get the position at time t,

x(t) = x(1) + ∫₁ᵗ v(u) du

x(t) = 6 + ∫₁ᵗ (u³ + 1) du

x(t) = 6 + (1/4 u⁴ + u) |₁ᵗ

x(t) = 6 + (1/4 t⁴ + t - 1/4 • 1⁴ - 1)

x(t) = 1/4 t⁴ + t + 19/4

(c) The position of the particle at t = e is

x(e) = 1/4 e⁴ + e + 19/4

Answer: Choosing a smaller unit of measure is more meaningful because it allows for more precise measurements. When using a smaller unit of measure, such as millimeters instead of centimeters, or seconds instead of minutes, you are able to capture more detailed information about the measurement. For example, measuring something in centimeters may give you a rough idea of the size, but measuring it in millimeters will give you more detailed information, which can be especially important in scientific or technical fields. Additionally, choosing a smaller unit of measure can be more meaningful when making comparisons or performing calculations, as it allows for greater accuracy.

Step-by-step explanation:

Hopes this helps you for Tomorrow!!

Answer:

11

Step-by-step explanation:

Answer:

\(5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

Step-by-step explanation:

\(f(x)=x^5\\f'(x)=5x^4\\g(x)=1-\frac{5}{x+8}\\g'(x)=\frac{5}{(x+8)^2}\\\\\frac{d}{dx}f(x)g(x)\\\\=f'(x)g(x)+f(x)g'(x)\\\\=5x^4(1-\frac{5}{x+8})+x^5(\frac{5}{(x+8)^2})\\\\=5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

Step-by-step explanation:

it is a rectangle !

a straight road and its width.

so, the area is (as for any other rectangle)

length×width

in our case

1.4 km × 0.04 km = 0.056 km²

Answer:

Area formula= length x width

length of road= 1.4 km

width of road= 0.04 km

Area= 1.4 x 0.04

= 0.056 km

Answer:

A.), C.), D.) are true

Step-by-step explanation:

Use the properties of exponents.

Answer:

x=20

Step-by-step explanation:

both of these angles equal each other

3x+50=6x-10

-3x.      -3x

50= 3x-10

+10     +10

60=3x

/3. /3

20=x

hopes this helps please mark brainliest

Answer: (In order)

25/4 / 6 1/4 = 1

3 1/7 / 2/7 = 11

5/4 / 1/4 = 5

11 1/4 / 9/4 = 5

8 1/4 / 3/4 = 11

3 1/3 / 10/3 = 1

Step-by-step explanation:

Answer:

15cm

Step-by-step explanation:

the width is xcm

22 + 22 + 2x = 74

44 + 2x = 74

2x = 30

x = 15

the width is 15cm

Answer:

I think it's 40 . I'm not sure

Answer:

0.6 liter per kilo

Step-by-step explanation:

Answer:

44 options

Step-by-step explanation:

In order to solve this problem you would simply need to multiply the options specifics together. In this scenario, these are the color and style. Therefore since the individual can choose from 11 colors and 4 styles you simply multiply 11 by 4. This is because every single color chosen has 4 styles to choose from,  meaning that all 4 styles also have 11 colors to choose from and vice versa.

11 * 4 = 44

Therefore, we see that an individual looking to buy a car has a total of 44 options to choose from.

Answer:

Members of Team A are likely older, and they have less variability in their ages.

Step-by-step explanation:

To solve this question, we need to find the mean and the standard deviation for each team.

Team A 16, 13, 12, 16, 13

The mean is:

\(M = \frac{16 + 13 + 12 + 16 + 13}{5} = 14\)

The standard deviation is:

\(S = \sqrt{\frac{(16-14)^2 + (13-14)^2 + (12-14)^2 + (16-14)^2 + (13-14)^2}{5}} = 1.67\)

Team B: 10, 13, 16, 16, 10

The mean is:

\(M = \frac{10 + 13 + 16 + 16 + 10}{5} = 13\)

The standard deviation is:

\(S = \sqrt{\frac{(10-13)^2 + (13-13)^2 + (16-13)^2 + (16-13)^2 + (10-13)^2}{5} = 13} = 2.68\)

Which statement appropriately compares the ages of the team members?

Sample of team A has higher mean age, which means that they are likely older. They also have a smaller standard deviation, so they likely have less variability in their ages.

Answer:

the first question is c

Step-by-step explanation:

2 x pi x the radius

2 x 3.14 x 8

we have the expression

substitute the given values

apply distributive property on both sides

x-8x=2x-6

-7x=2x-6

7x+2x=6

9x=6

x=6/9

simplify

To determine the value of x in the given equation we need to substitute the values of other variables mentioned in the question.

Given,

x(a - b) = m(x - c)

Let us now substitute the value of a,b,c and m in the given equation

=> x(1 - 8) = 2(x - 3)

=> x(-7) = 2x - 6

=> -7x = 2x - 6

=> -7x - 2x = -6

=> -9x = -6

=> x = 6/9

On further simplification,

x = 2/3

Therefore the value of x calculated from the given equation is 2/3

1.25

Given expression:

\(-1.25+2.5\)

A few changes were made to the expression.

Those were the following:

Subtract using column subtraction method:

             \(4\)

______________

      \(2 \ \ . \ \ 5 \ \ \ \ \ 0\)        

\(- \ \ \ 1 \ \ . \ \ 2 \ \ \ \ \ 5\)

______________

      \(\ \ \ 1 \ \ . \ \ 2 \ \ \ \ \ 5\)

Thus, the sum of −1.25 and 2.5 is 1.25.

In this case, the first addend is the digit in the front of the expression.

⇒ a + b

⇒ a is the first addend

Thus, the first addend is -1.25.

The sum is the addition of two or more digits.

⇒ a + b = c

⇒ c is the sum

Thus, the sum is 1.25, which we calculated above.

Finally, let's plot the sum and the first addend on the number line.

Let's see

Answer:

None

Step-by-step explanation:

Truly, I'm not sure what type of problem this is, but most people don't favor all the seasons. If there is more to the problem, I would be glad to help further.

Answer:

One possible way to estimate how many people out of 20 would say that they like all seasons is to use a simple random sample. A simple random sample is a subset of a population that is selected in such a way that every member of the population has an equal chance of being included. For example, one could use a random number generator to assign a number from 1 to 20 to each person in the population, and then select the first 20 numbers that appear. The sample would then consist of the people who have those numbers.

Using a simple random sample, one could ask each person in the sample whether they like all seasons or not, and then calculate the proportion of positive responses. This proportion is an estimate of the true proportion of people in the population who like all seasons. However, this estimate is not exact, and it may vary depending on the sample that is selected. To measure the uncertainty of the estimate, one could use a confidence interval. A confidence interval is a range of values that is likely to contain the true proportion with a certain level of confidence. For example, a 95% confidence interval means that if the sampling procedure was repeated many times, 95% of the intervals would contain the true proportion.

One way to construct a confidence interval for a proportion is to use the formula:

p ± z * sqrt(p * (1 - p) / n)

where p is the sample proportion, z is a critical value that depends on the level of confidence, and n is the sample size. For a 95% confidence interval, z is approximately 1.96. For example, if out of 20 people in the sample, 12 said that they like all seasons, then the sample proportion is 0.6, and the confidence interval is:

0.6 ± 1.96 * sqrt(0.6 * (1 - 0.6) / 20)

which simplifies to:

0.6 ± 0.22

or:

(0.38, 0.82)

This means that we are 95% confident that the true proportion of people who like all seasons in the population is between 0.38 and 0.82. Therefore, based on this sample and this confidence interval, we would expect between 8 and 16 people out of 20 to say that they like all seasons in the population.

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The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = x² - 3

The x-coordinates where the graphs of the equations intersect is when both equations are equal

So, we have

x² - 3 = 2x

Rewrite the equation as

x² - 2x - 3 = 0

When the equation is factored, we have

(x + 1)(x - 3) = 0

So, we have

x = -1 and x = 3

Hence, the x-coordinates are x = -1 and x = 3

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Question

From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.

y = 2x

y = x² - 3

The length of the side JH in the triangle ΔHIJ is 97.9.

We are given two triangles. The vertices of the first triangle are E, F, and G. The vertices of the second triangle are H, I, and J. The triangles ΔEFG and ΔHIJ are similar to each other. The lengths of the sides FG, GE, and IJ are 12, 25, and 47, respectively. We need to find the length of the side, JH. The figure of the triangles is attached below.

Let the length of the side JH in the triangle ΔHIJ be represented by the variable "x". The side IJ is proportional to the side FG. Let the constant of proportionality be "k".

IJ ∝ FG

IJ = k*FG

k = IJ/FG

k = 47/12

The side JH is proportional to the side GE.

JH = k*GE

x = (47/12)*25

x = 97.9

Hence, the length of the side JH is 97.9 units.

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A) x+2y=30

x=30-2y

B) x=8, y=11 and the solutions x and y represent the prices of tickets for students and non students.

An equation in French is defined as having one or more variables, whereas an equation in English is any well-formed formula consisting of two expressions combined with an equals sign.

Solving a variable equation includes determining which variables' values result in equality. Unknowns are the variables for which the equation must be solved, while equation solutions are the unknown values that satisfy the equality. An equation is a mathematical phrase with two equal sides separated by an equal sign. An equation is 4 + 6 = 10. We can see 4 + 6 on the left side of the equal sign and 10 on the right.

Given equations are:

2x + 3y = 49

x + 2y = 30

A) From eq 2,

x+2y=30

x=30-2y

B) x and y represents the prices of tickets for students and non students.

2(30-y)+3y=49

60-4y+3y=49

y=60-49

y=11

x=30-2y

x=30-2(11)

x=30-22

x=8

The solutions x and y represent the prices of tickets for students and non students.

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Let us find the length of rope Jules will need using the pythagoras theorem .

Width of the moat ( let the moat be the base of this triangle ) = 14 foot

Distance from Roma's window to the boat ( let this be the side of the triangle where the right angle is present ) =20 feet

Then the length of rope needed ( hypotenuse ) =

= Let us name the triangle that is formed as △ ABC . Then ;

In △ ABC :

AB = the width of moat ( leg of triangle ) = 14 foot

BC = The distance from the window to the moat ( base ) = 20 feet

AC = Length of rope needed ( hypotenuse ) =

= AB ² + BC² = AC² ( according to the pythagoras theorem the square on the hypotenuse will be equal to the sum of the squares on the other two legs )

= 14² + 20² = AC²

= 196 + 400 = AC²

= 596 = AC²

= 24 × 24 = AC × AC

= 24 foot = AC = length of rope needed by jules .

Therefore , Jules will need a 24 foot rope so that his girlfriend can slide down and escape from her apartment .

Answer:(x+9)(x-4)(x-3)

Answer:

x = 6

Step-by-step explanation:

This is a bit of a tricky equation, and it's what we call an exponential equation since it involves some exponents. The way we begin to solve these kinds of problems is make the base on each side of the equals sign the same. On one side, we have 9 as our base, and on the other side, we have 3 as our base. 9 = 3², so we can rewrite our equation as shown below:

(3²)⁴ˣ⁻¹⁰ = 3⁵ˣ⁻²

From there, we can use the exponent rule (xᵃ)ᵇ = xᵃᵇ to simplify the left side of the equation.

3²⁽⁴ˣ⁻¹⁰⁾ = 3⁵ˣ⁻²

3⁸ˣ⁻²⁰ = 3⁵ˣ⁻²

Since our bases are now the same, we can take just the exponents and turn it into a new equation as shown below:

8x - 20 = 5x - 2

Hopefully at this point, this problem becomes easy for you, but I'll show how I solved this new equation below in case it doesn't make sense.

8x - 20 = 5x - 2

8x - 20 - 5x = 5x - 2 - 5x

3x - 20 = -2

3x - 20 + 20 = -2 + 20

3x = 18

3x/3 = 18/3

x = 6

Hopefully that's helpful! Let me know if you need more help. :)

9514 1404 393

Answer:

  20 mm/min

Step-by-step explanation:

To find the rate in mm per minute, divide mm by minutes:

  (600 mm)/(30 min) = 20 mm/min . . . unit rate

Answer:

y = 1/2x

Step-by-step explanation:

Choose two points- I chose (10,5) and (0,0)

Find the slope using y2-y1/x2-x1

Use y - y1 = slope (x -x1) to get your equation

The answer should be y =1/2x

Hopefully this helps- let me know if you have any questions