A hiker averages 1.4 mph downhill on a mountain trail and 0.8 mph uphill. Find the total time spent hiking in terms of the distance variable d. Remember: V = d / t.

Answer:

x = -2

Step-by-step explanation:

3x-1 = 8(x+1)+1

3x-1 = 8x+8+1

3x-1 = 8x+9

-3x     -3x

-1 = 5x+9

-9        -9

-10 = 5x

/5      /5

-2 = x

Answer:

x= -2              

Step-by-step explanation:

3x-1= 8(x+1) + 1

3x- 1 = 8x+ 8 + 1

3x- 1 = 8x+ 9

-1= 8x-3x+9

-1-9= 5x

-10= 5x

-10/5 = x

-2= x

Answer:

1 hr, 4 sec

Step-by-step explanation:

To find the equation of the sphere tangent to the plane 2x + 3y - 6z = 5 with center C(-2, 3, 7), we need to find the radius of the sphere. The equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

The distance from the center of the sphere to the plane is equal to the radius. We can use the formula for the distance between a point (x, y, z) and a plane Ax + By + Cz + D = 0:

Distance = |Ax + By + Cz + D| / sqrt(A^2 + B^2 + C^2)

In this case, the plane equation is 2x + 3y - 6z - 5 = 0. Plugging in the coordinates of the center C(-2, 3, 7) into the formula, we have:

Distance = |2(-2) + 3(3) - 6(7) - 5| / sqrt(2^2 + 3^2 + (-6)^2)

= |-4 + 9 - 42 - 5| / sqrt(4 + 9 + 36)

= |-42| / sqrt(49)

= 42 / 7

= 6

So, the radius of the sphere is 6.

The equation of a sphere with center C(-2, 3, 7) and radius 6 is:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 6^2

Simplifying further, we have:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36

Therefore, the equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

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The concrete required to make the tank be 27.4122 m³.

Given, a concrete tank has an external diameter of 10 m and an internal height of 3 m. If the walls and bottom of the tank are 30 cm thick.

External diameter = 10 m

Height = 3 m

Thickness = 0.3 m

External radius = 5 m

Internal radius = 5 - 0.3 = 4.7 m

Volume = πh(e.r² - i.r²)

Volume = (3.14)(3)(5² - 4.7²)

Volume = 9.42(9.7)(0.3)

Volume = 27.4122 m³

Hence, the concrete required to make the tank be 27.4122 m³.

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Answer:

3.55 x t = 28.40 or 28.40/t = 3.55

Step-by-step explanation:

so after 2 seconds we get

so the answer is A

For any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

To determine the values of h and okay for which the device of equations has no answer, we want to locate the situations underneath which the equations are inconsistent or parallel.

The given system of equations is:

Equation 1: x + 3y = h

Equation 2: -4x + ky = -9

For the gadget to haven't any answer, the lines represented with the aid of these equations should be parallel and in no way intersect. In different phrases, the slopes of the traces need to be equal, but the y-intercepts should be specific.

Let's first discover the slopes of the traces. The slope-intercept form of Equation 1 is y = (-1/3)x + (h/3), wherein the slope is -1/3. The slope-intercept shape of Equation 2 is y = (4/k)x - (9/k), wherein the slope is 4/k.

For the strains to be parallel, the slopes should be equal. Therefore, we have the condition: -1/3 = 4/k.

To locate the values of h and okay for which the gadget has no answer, we need to locate the values of h that satisfy the situation -1/3 = 4/k.

Solving this equation for ok, we've got:

-1/3 = 4/k

-1 = 12/k

k = -12

Substituting k = -12 returned into the equation -1/3 = 4/k, we've:

-1/3 = 4/(-12)

-1/3 = -1/3

Since the equation holds real for any value of h, there aren't any restrictions at the price of h.

Therefore, for any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

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The system of equations has no solution when k is equal to 12. The value of h can be any real number.

To determine the values of h and f for which the system has no solution, we need to analyze the coefficients of the variables and the constants in the equations.

The given system of equations is:

x + 3y = h

-4x + ky = -9

We can rewrite the second equation as:

-4x + ky = -9

Dividing both sides of the equation by -4, we get:

x - (k/4)y = 9/4

Comparing the coefficients of x and y in the two equations, we can see that the slopes of the lines represented by the equations are different when k is not equal to 12.

Therefore, for the system to have no solution, k must be equal to 12.

As for the value of h, it can be any real number since it does not affect the slopes of the lines.

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The angle the right side of the roof makes with the base is 34.67 degrees

The given parameters are:

Base = 13.6

Left = 8.0

Angle between base and the left = 70 degrees

The sketch is added as an attachment

Start by calculating the length AC using:

AC^2 = AB^2 + BC^2 - 2 * AB * BC * cos(B)

This gives

AC^2 = 8^2 + 13.6^2 - 2 * 8* 13.6* cos(70)

Evaluate

AC^2 = 174.54

Take the square roots

AC = 13.21

The angle the right side of the roof makes with the base is then calculated as using the following laws of sines

AB/sin(C) = AC/sin(B)

This gives

8/sin(C) = 13.21/sin(70)

Evaluate

8/sin(C) = 14.06

This gives

sin(C) = 8/14.06

Evaluate

sin(C) = 0.5689

Take the arc sin of both sides

C = 34.67

Hence, the angle the right side of the roof makes with the base is 34.67 degrees

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False. To calculate a percent increase, the portion is not the missing element. The portion refers to the initial or original value, while the missing element is the final or increased value.

The formula for calculating a percent increase is:

Percent Increase = (Final Value - Initial Value) / Initial Value * 100

In this formula, the initial value is the portion that represents the starting or original value. The final value is the missing element, as it represents the increased or final value after the increase.

By subtracting the initial value from the final value, we obtain the difference between the two. Dividing this difference by the initial value gives us the relative increase as a decimal or fraction. Multiplying by 100 converts it into a percentage, representing the percent increase.

Therefore, the portion in calculating a percent increase is the known value or initial value, while the missing element is the final value that we are trying to determine or find.

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greg spent $20 think

Step-by-step explanation:

i think you times

Answer:

20

Step-by-step explanation:

4x5

my old one got deleted by the way :/              

Note that based on the quartiles the estimated number  of rides less that 6.5 minutes long is about about 5 rides.

To  estimate the number of rides that would  be less than 6.5 minutes long, we can make use of the  interquartile range (IQR).

Assumption -  Data is Symmetrically distributed.

Recall  that IQR is the variance between the first quartile (Q1) and the third quartile  (Q3).

So IQR =   Q3 - Q1

= 10 minutes - 6.5 minutes

= 3.5 minutes

Based on the assumption above  we can consider Q2 as the 50th percentile.

Thus, to estimate the number of rides that would be less than 6.5 minutes long, use the Z-score formula:

Z = (X - μ) / σ

Where:

Z is the Z-score,

X is the value we want to estimate (6.5 minutes),

μ is the mean of the data (which we assume to be Q2),

σ is the standard deviation of the data (which we assume to be IQR / 1.35).

NOte: The factor 1.35 is an approximation for converting the IQR to the standard deviation of a  normal distribution

Z = (6.5 -8) / (3.5 /1.35)

= - 0.5 / 2.59    

 =  -0.57857142857

≈ - 0.58

Based on  statistical calculator,  the proportion of data that falls below a Z-score o - 0.58, which represents the expected number of rides that would be less than 6.5 minutes long, is

= 0.2787.

Thus, te estimated number of rides less than 6.5 minutes long ≈ 0.2787 * 16

= 4.4592

≈ 4.5 rides

Thus we can expect the 4 or 5 rides to be less than 6.5 minutes long.

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Answer:

Step-by-step explanation:

-7x + 4 + 3x

-4x + 4

3x + 5x + 8

8x + 8

4x + 4x + 4x + 4x

4x * 4

16x

4x + 4x

8x

Answer:

the right answer is$2.66

Answer:

There were 24 students in class yesterday.

Step-by-step explanation:

The derivative of the given function is approximately equal to x/((1-x²)^(3/2)(1-x²)).

In calculus, the derivative of a function is a measure of the rate at which the function changes with respect to its input variable. It represents the instantaneous rate of change of the function at a particular point.

To find the derivative of the given function, we can use the chain rule of differentiation. Let's start by expressing y in terms of the natural logarithmic function:

y = tanh⁻¹(√(1-x²))/2ln(e)

Using the chain rule, we have:

dy/dx = [1/(1-√(1-x²)²)] * (-1/2) * [1/ln(e)] * (-2x/((1-x²)^(3/2)))

Simplifying this expression, we get:

dy/dx = x/((1-x²)^(3/2)ln(e(1-x²)))

Now, we can simplify the expression further by using the identity:

ln(e(1-x²)) = 1-x²

Substituting this value in the above expression, we get:

dy/dx = x/((1-x²)^(3/2)(1-x²))

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Step-by-step explanation:

-2=--4(1)+b

I gotchuu

Answer:

d= -6

Step-by-step explanation:

-5+4d=3(d-8)+13

-5+4d=3d-18+13

d= -6

Answer:

D= -6

Step-by-step explanation:

−5+4d=3(d−8)+13

Step 1: Simplify both sides of the equation.

−5+4d=3(d−8)+13

−5+4d=(3)(d)+(3)(−8)+13(Distribute)

−5+4d=3d+−24+13

4d−5=(3d)+(−24+13)(Combine Like Terms)

4d−5=3d+−11

4d−5=3d−11

Step 2: Subtract 3d from both sides.

4d−5−3d=3d−11−3d

d−5=−11

Step 3: Add 5 to both sides.

d−5+5=−11+5

D= -6

Answer:

Determine or clarify the meaning of unknown and multiple-meaning words and phrases by using context clues, analyzing meaningful word parts, and consulting general and specialized reference material

Step-by-step explanation:

Answer:

You said that you're giving "50" points, but you're actually giving "25" points.

Answer:

x = 5

y = 40°

Step-by-step explanation:

the median and the base of the large triangle are parallel so angle y has the same measure as the one labeled as 40°

the median is half the base of the large triangle, so 5x = 8x + 10/2

cross-multiply:  10x = 8x + 10

2x = 10

x = 5

Answer:

A

Step-by-step explanation:

if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)

if leg b is unknown, then. b = √(c² - a²)

for hypotenuse c missing, the formula is. c = √(a² + b²)

use a right triangle calculator :)

or those math apps on yo phone (photomath )

The mode of a dataset is the value that appears most frequently. In this case, we need to find the interval of rainfall that occurs most frequently.

From the given data, we can see that the interval "less than 0.01 inch" has the highest frequency with 165 days. Therefore, the mode of this dataset is "less than 0.01 inch"

Effective communication is crucial in all aspects of life, including personal relationships, business, education, and social interactions. Good communication skills allow individuals to express their thoughts and feelings clearly, listen actively, and respond appropriately. In personal relationships, effective communication fosters mutual understanding, trust, and respect.

In the business world, it is essential for building strong relationships with clients, customers, and colleagues, and for achieving goals and objectives. Good communication also plays a vital role in education, where it facilitates the transfer of knowledge and information from teachers to students.

Moreover, effective communication skills enable individuals to engage in social interactions and build meaningful connections with others. Therefore, it is essential to develop good communication skills to succeed in all aspects of life.

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The main answer is that the infinite number of types of matter arises from the unique combinations of elements and their arrangements in terms of composition and geometry.

While the number of elements is limited, their combinations and arrangements allow for an infinite number of types of matter. Elements can combine in different ratios and configurations, forming various compounds and structures with distinct properties.

Additionally, the arrangement of atoms within a molecule or the spatial arrangement of molecules within a material can create different types of matter. These factors, along with the possibility of isotopes and different states of matter, contribute to the vast diversity and infinite types of matter despite the limited number of elements.

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Answer:

Step-by-step explanation:

There are a couple of angle relations that apply to these problems.

The measure of arc BC is given as 108°. The measure of central angle BXC is the same:

  x = 108°

Angle BAC is the average of arcs BC and DF:

  (BC +DF)/2 = BAC

  ((12x +15) +(9x -12))/2 = (10x +4)

Multiplying by 2 and collecting terms gives ...

  21x +3 = 20x +8

  x = 5 . . . . . . . . . . subtract 20x+3

∠BAC = 10x +4 = 10(5) +4

∠BAC = 54°

Answer:

60 copies per minute.

Step-by-step explanation:

There are 60 minutes in an hour. It is given that the copy machine produces 3600 copies in a hour. Divide the total amount of copies with the amount of minutes in an hour:

3600/60 = 60

The copy machine can make 60 copies per minute.

Answer:

6x + 1

Step-by-step explanation:

g(f(x))

f(x) = 3x - 1

g(f) = 2x + 3

= 2(3x - 1) + 3

= 6x - 2 + 3

= 6x + 1