Please help please and thank you

The height of the pile increasing when the pile is 16 feet high is 5/32 ft/min.

We are given dV/dt=10 cubic ft/min and we want to find dh/dt. Therefore, first we need to write a formula relating v and h.

V=pi*r^2*h/3  since d=h at any moment, we know that r=h/2 at any moment and if we substitute h/2 for r, we get

V=pi(h/2)^2*h/3 and if we simplify this,  we get

V=pi*(h^3)/12

Now we need to take the derivative of both sides with respect to t

dV/dt = pi * ( 3 * h^2 ) */12 * dh/dt

= pi * h^2 / 4 * dh/dt, substitute 40 for dV/dt and 16 for h and solve for dh/dt and we get

40 = pi * 16^2/4*dh/dt

dh/dt = 40 * 4 / ( 256 * pi )

= 40/(256*pi) ft/min,

= 10/64

= 5/32 ft/min

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The value in cents of a nickels = 5a

     [] A nickle is worth 5 cents, so 5a is the value of a nickles

The value in cents of a dimes = 10a

     [] The value of a dime is 10 cents, so 10a is equal to a dimes

The value in cents of a quarters = 25a

     [] A quarter is worth 25 cents, so 25a is the value of a quarters

The value in cents of a dimes and one quarter = 10a + 25

     [] Up above we figured out the expression for a dimes, so we need to add 25 to it for one quarter

The value in cents of 13 dimes =​ 130

     [] A dime is worth 10 seconds, so 13 * 10 = 130

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

If we rotate the line C at some point it will be parallel to to the line B.

When two or more than two lines intersect each other they share a common point which is called as intersecting point.

In the given question said that two parallel lines never intersect which is true.

But a line intersected at two different points can be parallel to each other.

In the given question if we rotate line C anticlockwise at some point we will notice that it will intersect line B at some point and it will also be parallel to line B.

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Answer:

4.5

Step-by-step explanation:

Answer:

\(\sqrt{20}\), calculate this further on calculator if necessary

Step-by-step explanation:

The Pythagorean Theorem states that \(a^2 +b^2=c^2\)

Plugged in, we get \(2^2+4^2=c^2\)

4 + 16 = c^2

20 = c^2

c = \(\sqrt{20}\)

Using the probability concept, it is found that:

a) There is a 0.1485 = 14.85% probability that an interviewee chooses ‘Eco Trip’.

b) There is a 0.3261 = 32.61% probability that a male interviewee chooses ’Shopping Tour’.

c) The proportion of females is of 0.7059 = 70.59%.

d) There is a 0.6061 = 60.61% probability that this person is a female.

e) There is a 0.3953 = 39.53% probability that she chooses “River Cruise”.

A probability is the number of desired outcomes divided by the number of total outcomes.

Item a:

Hence:

\(p = \frac{15}{101} = 0.1485\)

0.1485 = 14.85% probability that an interviewee chooses ‘Eco Trip’.

Item b:

20 + 15 + 11 = 46 male interviewees, 15 choose Shopping Tour, hence:

\(p = \frac{15}{46} = 0.3261\)

0.3261 = 32.61% probability that a male interviewee chooses ’Shopping Tour’.

Item c:

15 + 36 = 51 interviewees choose Shopping Tour, 36 are female, hence:

\(p = \frac{36}{51} = 0.7059\)

The proportion of females is of 0.7059 = 70.59%.

Item d:

15 + 36 + 11 + 4 = 66 interviewees do not choose River Cruise, 36 + 4 = 40 are female, hence:

\(p = \frac{40}{66} = 0.6061\)

0.6061 = 60.61% probability that this person is a female.

Item e:

101 - 15 = 86 people do not choose Eco Trip, of those, 34 choose River Cruise, hence:

\(p = \frac{34}{86} = 0.3953\)

0.3953 = 39.53% probability that she chooses “River Cruise”.

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Answer:

green line or "b"

Step-by-step explanation:

we can set this up into the slope intercept form

y=mx+b

where m is the slope and b is y intercept

12=3x+4y

-3x -3x

-3x+12=4y

/4.  /4.  /4

-3/4x+3=y

we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"

hopes this helps please mark rainliest

The side b is approximately 80.02 feet in length. In a right triangle ABC with angle C equal to 90°, if angle B is 37.56° and side a is 49.94 feet, we can solve for side b using the trigonometric function sine.

First, we can label the triangle as follows:

Side a is opposite angle A,

Side b is opposite angle B,

Side c is the hypotenuse.

Let's label the triangle with the given and asked for information. Angle C is the right angle, angle B is 37.56°, side a is 49.94 feet, and side b is the side we are trying to find.

Using the sine function, we have:

sin(B) = opposite/hypotenuse

sin(37.56°) = a/b

Now we can substitute the known values:

sin(37.56°) = 49.94/b

To solve for b, we rearrange the equation:

b = 49.94 / sin(37.56°)

Using a calculator, we find:

b ≈ 80.02 feet.

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The statement that are consistent with the guidelines for hitching trailers are:

A. Trailers must be connected to the tow vehicle before loading.

D. Customer vehicles must have at least a frame mounted Class 3 receiver hitch with a 2" or 2 5/6" ball.

Option A: Because it guarantees that the weight of the cargo is evenly distributed and attached to the trailer before the vehicle is driven this recommendation is consistent with safe hitching techniques.

Option D: Because it guarantees that the trailer is securely fastened to the tow vehicle and can support the weight of the cargo this recommendation is consistent with safe hitching techniques. A 2" or 2 5/16" ball ensures the trailer is firmly fastened to the hitch and a Class 3 hitch is made to support the weight of heavier trailers.

Therefore the correct option is A and D.

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Answer:

x = 47

Step-by-step explanation:

x + 121 = 4x - 20

-3x + 121 = - 20

-3x = -141

x = 47

So, the answer is x = 47

Answer:

5/12

Step-by-step explanation:

The odds for the die are 5 positive out of 6 possible outcomes

-- 2,3,4,5,6 are the positive outcomes - the ones you want - but there are a total of 6 outcomes or ways the die could land

The odds for the coin are 1 positive outcome out of 2 possible outcomes (heads or tails)

Once you have 5/6 for the die and 1/2 for the coin, you multiply them together.

As a decimal- 5.4

As an exact form- 24/5

As a Mixed number- 5 2/5

Hope this helped :T

Answer:

it can be tricky but the answer is

Answer:

a) \(\frac{3}{5}\)

b) \(\frac{14}{11} = 1\frac{3}{11}\)

c) \(\frac{7}{8}\)

Step-by-step explanation:

a) subtract the numerators but keep the denominators

b) add the numerators and combine it into a mixed fraction

c) first, make sure both equations have the same denominators

to do this, multiply the first fraction by 2:

\(\frac{3}{4}\) x 2 = \(\frac{6}{8}\)

now that it has the same denominator as the second fraction, we can add the numerators but keep the denominators:

\(\frac{6}{8}\) + \(\frac{1}{8}\) = \(\frac{7}{8}\)

Answer:

Step-by-step explanation:

Let h(x) = y

The exponentail function is of the form :

\(y = ab^x\)

We have :

\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)

Given points : (4, 9) and (5, 34.2)

We have:

\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)

Writing the equation with x, y and b:

\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)

a = 0.043

b = 3.8

When x = 6, y will be:

\(y = (0.043)(3.8^6)\\\\y = 128.47\)

This is not the y value in the question y = 59.4

Therefore (6, 59.4) does not lie on the graph h(x)

The key features of this quadratic relation y = -3x² - 24x - 36 include;

In Mathematics and Geometry, the graph of a quadratic function would always form a parabolic curve because it is a u-shaped.

Since the leading coefficient (value of a) in the given quadratic function y = -3x² - 24x - 36 is negative 16, we can logically deduce that the parabola would open downward and the x-intercept (roots) is given by the ordered pair (-6, 0) and (-2, 0).

When x = 0, the y-intercept can be determined as follows;

y = -3x² - 24x - 36

y = -3(0)² - 24(0) - 36

y = -36

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(-24)/2(-3)

Axis of symmetry, Xmax = -4

For the vertex, we have:

y(-4) = -3x² - 24x - 36

y(-4) = -3(-4)² - 24(-4) - 36

y(-4) = 12

In conclusion, the quadratic function has a maximum value at 12.

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Answer:

55/9

Step-by-step explanation:

\(5+\dfrac79+\dfrac{4}{12}=\dfrac51+\dfrac79+\dfrac{4}{12}\)

We need to make the denominators the same:

\(\implies\dfrac{5\times 36}{1\times 36}+\dfrac{7\times 4}{9\times 4}+\dfrac{4\times 3}{12\times 3}=\dfrac{180}{36}+\dfrac{28}{36}+\dfrac{12}{36}\)

Now simply add the numerators:

\(\implies \dfrac{180}{36}+\dfrac{28}{36}+\dfrac{12}{36}=\dfrac{220}{36}\)

Simplify by reducing:

\(\implies \dfrac{220}{36}=\dfrac{55}{9}\)

Solution as a mixed number:  \(6\frac19\)

Answer:

C and D

Step-by-step explanation:

I would chose this because the square will have all sides of 3 since all the sides are the same size it classifies as a square. Then a right triangle looking at the shape you would have left.

A rectangle is a four sided polygon having all the internal angles equal to 90 degrees. The shape given below can be decomposed into two figures, they are rectangle and right triangle. The correct options are A and D.

The trapezium is defined as a quadrilateral with one pair of parallel opposite sides. The parallel sides of a trapezium are called the bases and the non-parallel sides of a trapezium are known as legs. It is also called as the trapezoid.

A trapezium is a closed shape which has four sides and four angles. Anyone pair of opposite sides of a trapezium are parallel to each other. If the legs are of equal length, then it is called the isosceless trapezium.

A triangle in which one of its interior angles is equal to 90 degrees or any one angle is a right angle is the right triangle.

Thus the correct options are A and D.

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Answer:

3r+2s+8t+15

Step-by-step explanation:

After simplifying 7r+10-2(2r+3s-5t)+2(4s-t)+ 5, you will have 3r+2s+8t+15.

Step-by-step explanation:

there is something severely wrong with the problem definition.

when the Hypotenuse = 9, there is no 30-60-90 triangle with a leg = 6.

and when we are just focusing that this is a right-angled triangle with the Hypotenuse = 9, then 6 cannot be the longer leg.

it is also not clear what the solution is supposed to be. the 2nd leg ? the area ? the perimeter ? the height(s) ? ...

what ?

so, all I can do here is to show you why I said what I said :

30-60-90 triangle with Hypotenuse = 9

then the longer leg is opposite of the 60° angle and therefore sin(60)×9 = 7.794228634...

the shorter leg is opposite of the 30° angle and therefore sin(30)×9 = 0.5×9 = 4.5

a right-angled triangle with Hypotenuse = 9, one leg = 6 gives us per Pythagoras for the other leg

9² = 6² + leg²

81 = 36 + leg²

45 = leg²

leg = sqrt(45) = 6.708203932...

so, you see, as stated above, there is no leg with the length 6 in such a 30-60-90 triangle.

and in a more general right-angled triangle, if one leg = 6, then the other leg is actually longer.

therefore, there is everything wrong with the problem definition.

Answer:

hope you can understand

Answer:

Explanation:

Two triangles are said to be similar if their corresponding angles are congruent and their corresponding sides are in equal proportion.

Given that triangles ABC and QPR are similar, then all corresponding angles in both triangles will be congruent.

So we'll have that;

Let's go ahead and determine the value of A as seen below;

Since angle A is 120 degrees, then angle Q is also 120 degrees since corresponding angles are equal.

Answer:

5 shipments had at least 10 broken tiles but less than 20 broken tiles.

Answer:  Answers in the pictures

Hope this helps! :)

Answer:

7x + 2y = - 6

Step-by-step explanation:

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

given

y = - \(\frac{7}{2}\) x - 3 ( multiply through by 2 to clear the fraction )

2y = - 7x - 6 ( add 7x to both sides )

7x + 2y = - 6 ← in standard form

Answer:

clerk A and clerk B can simultaneously stock a shelf in 180/13 minutes

Step-by-step explanation:

Let the first clerk be A and the second clerk be B

A can stock a shelf in 20 min

B can stock a shelf in 45 min

Consider the complete work to be W

A’s rate of stocking =  per minute

B’s rate of stocking =  per minute

When, A and B work simultaneously, rate of work done =

Total work done simulatenously =  180/13

Therefore, clerk A and clerk B can simultaneously stock a shelf in 180/13  minutes

Answer:

Step-by-step explanation:

The rate of each clerk is 1/25 and 1/45 respectively so together they can stock the shelf

t/25+t/45=1 (the least common multiple of 25 and 45 is 225)

t/25(9/9)+t/45(5/5)=1

(9t+5t)/225=1

9t+5t=225

14t=225

t=225/14 min

t=16 minutes (rounded to nearest minute)

( or 16 minutes and about four seconds :) )

The equivalent equation to the given one is:

h = A*t/(b - c)

We want to find an equation equivalent to the one below:

A = h*(b - c)/t

If we solve the equation for t, we would get:

t  = h*(b - c)/A

If we solve the equation for h, we will get:

h = A*t/(b - c)

If we solve the equation for b, we will get:

A = h*(b - c)/t

A*t/h = b - c

A*t/h + c = b

And if we solve it for c, we will get:

c = b - A*t/h

Then the correct option is the last one;

h = A*t/(b - c)

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Answer:

1/4 miles

Step-by-step explanation:

Hey there!

Well starting at Campbell and going to Morristown it is 1/4 miles.

Going from Campbell to Clarksville it is 2/4 miles.

So to find the difference we’ll subtract.

2/4 - 1/4

= 1/4 miles

Hope this helps :)

Answer:

Slope: m = 0

Equation: y = -3

Step-by-step explanation:

A line perpendicular to the y-axis always has a slope of 0. Slope is calculated by (y2-y1)/(x2-x1) or rise/run or delta y/delta x (they're all the same thing, delta means difference and is notated with a triangle). When there is no change in y (perpendicular to the y-axis), no matter what the change in x is, the slope will be 0.

Since it is given that one of the points has a y-value of -3, the equation for this line would be y = -3. The formula for a linear equation is y=mx+b. Since the slope is 0, the value of mx is 0, and therefore not needed in the equation. b represents the y-intercept and in this case would be -3.