Find the volume V of the described solid S. A pyramid with helght 3h and rectangular base with dimensions 3b and 6b V = ...

\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)

The Correct choice is : C

\(\qquad \sf  \dashrightarrow \: it \: \: is \: \: on \: \: the \: x - axis\)

As we can observe, the y - coordinate ( ordinate ) of the given point (2 , 0) is 0. so it's obvious that it's distance from x - axis is Zero. In other words we can say that the point is lying on x - axis.

Answer:

answer is C

it's on the x-axis

Step-by-step explanation:

hope t     his helps!

Step-by-step explanation:

You make a T-chart of x and y and graph it, like this:

If x = 1, y = 5

x   |    y

0   |   4

1    |   5

2   |   6

3   |   7

4   |   8

on and on it goes. . .

The equivalent equation using the completing the square is (x+6)^2 = 48

Given the quadratic equation

12x=13−x^2

Equate to zero to have;

−x^2 - 12x + 13 = 0

Multiply through by -1 to have:

x^2+12x - 13 = 0

Add 13 to both sides to have:

x^2+12x = 13

Complete the square

x^2+12x + (12/2)^2 = 12 + (12/2)^2

x^2 + 12x + 6^2 = 12 + 36
(x+6)^2 = 48

Hence the equivalent equation using the completing the square is (x+6)^2 = 48

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The relevant details from the poem and the description of how they develop the subject are:

The fact that the narrator mentions how there are a pair of them means that they are not alone. It means that just because they are a nobody does not mean that they consider themselves to be alone.

The fact that they could be banished means that being a nobody is a bad thing that warrants the punishment of being banished from the society in question.

When a person is deary, it means that they are doing something that can either bring them praise or punishment which means that being somebody can either be positive or negative so it can be a positive to be a nobody.

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Answer:

look at the screenshot

Step-by-step explanation:

The probability that the total of the two numbers is more than 32 = \(\frac{2}{5}\)

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

P(A) = n(A)/n(S)

where,  n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.

\(^nC_r=\frac{n!}{r!(n-r)!}\)

For given question,

We have been given five number cards.

Two of the five cards are picked at random.

Using combination formula the possible number of outcomes would be,

\(^5C_2\\\\=\frac{5!}{2!(5-2)!} \\\\=10\)

So, n(S) = 10

Let event A : the total of the two numbers is more than 32

A = {(19, 14), (19, 22), (13, 22), (14, 22)}

So, n(A) = 4

Using the formula for probability,

\(\Rightarrow P(A)=\frac{n(A)}{n(S)} \\\\\Rightarrow P(A)=\frac{4}{10}\\\\\Rightarrow P(A)=\frac{2}{5}\)

Therefore, the probability that the total of the two numbers is more than 32 = \(\frac{2}{5}\)

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Answer:

\(\cos(105^\circ)\approx-0.26\text{ and } \csc(105^\circ)\approx1.03\)

Step-by-step explanation:

We are given that:

\(\cos(-105^\circ)\approx-0.26\text{ and } \csc(-105^\circ)\approx-1.03\)

And we want to find:

\(\cos(105^\circ)\text{ and } \csc(105^\circ)\)

Part A)

Remember that cosine (and secant) is an even function. By definition, this means that:

\(\cos(\theta^\circ)=\cos(-\theta^\circ)\)

Therefore, since we know that cos(-105°) is about -0.26, it follows from the definition that:

\(\cos(-105^\circ)=\cos(105^\circ)\approx-0.26\)

Part B)

Remember that cosecant (and sine) is an odd function. By definition, this means that:

\(\csc(-\theta^\circ)=-\csc(\theta^\circ)\)

We know that csc(-105°) is about -1.03.

By the above definition, we can rewrite csc(105°) as csc(-(-105°)) or -csc(-105°).

Hence, it follows that:

\(\csc(105^\circ)=-\csc(-105^\circ)=-(-1.03)=1.03\)

Answer:

B

Step-by-step explanation:

given

tanΘ = \(\frac{3\sqrt{5} }{2}\) = \(\frac{opposite}{adjacent}\)

this ratio relates to a right triangle, with hypotenuse h and

legs 3\(\sqrt{5}\) and 2

using Pythagoras' identity in the right triangle

h² = (3\(\sqrt{5}\) )² + 2² = 45 + 4 = 49 ( take square root of both sides )

h = \(\sqrt{49}\) = 7

then

cosΘ = \(\frac{adjacent}{hypotenuse}\) = \(\frac{2}{7}\)

Answer:

Sorry let me try to understand the question

Step-by-step explanation:

The domain of the function r(x) is (0, 200).

The revenue earned when the price is $30 is $20400.

The rule for the function r(x) is x(800 - 4x).

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Demand:

d(x) = 800 - 4x

Price = x

Revenue = Price x demand

Revenue = r(x)

A)

The rule for r(x).

r(x) = x d(x) = x(800 - 4x)

The domain of r(x) is 0 < x < 200 i.e (0, 200).

B)

x = 30

r(x) = 30(800 - 4 x 30)

r(x) = 30(800 - 120) = 30 x 680 = 20400

C)

r(x) = x(800 - 4x)

Thus,

The answers are given above.

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In the graph, the x-axis represents the puppy's age in weeks, and the y-axis represents the puppy's weight in pounds.

In order to graph the puppy's growth based on the given equation, we need to convert it to slope-intercept form (y = mx + b), where "m" represents the slope and "b" represents the y-intercept.

Given equation: 2x - y = -2

Rearranging the equation to slope-intercept form:

y = 2x + 2

In this graph, the x-axis represents the puppy's age in weeks, and the y-axis represents the puppy's weight in pounds. The line represents the growth trend of the puppy's weight, starting from a weight of 2 pounds at 0 weeks and increasing by 2 pounds every week.

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Step-by-step explanation:

Is power of mind is truee

The concept of the power of the mind is a widely debated topic, with varying opinions and perspectives. Some people believe in the power of positive thinking and visualization to achieve goals and create positive changes in one's life. Others may be more skeptical and question the scientific evidence supporting these ideas. Ultimately, whether or not the power of the mind is "true" is subjective and depends on one's personal beliefs and experiences.

Answer:

the answer is 6/2.

Step-by-step explanation:

Answer:

B y=3x-1

Step-by-step explanation:

First, you want to find the slope.

(-1,-4) (1,2)

2--4/1--1 = 6/2 = 3

slope = m = 3

next find where the line meets with the y-axis, which in this case it would be -1.

Now that we have all the components, We need to write it in slope-intercept form

y = mx +b

y = 3x -1

And Boom! We have solved the question.

Hope this helped!

Answer:

d = 67.5

e = 22.5

Step-by-step explanation:

d + e = 90

d = 3e

Therefore, we can simply divide 90 by 4, which gives us 22.5, and also tells us what e equals. Then, multiply that by 3 to get d.

Hope that this helps!

Answer:

15 liters of pure water must be added

Answer:

3

Step-by-step explanation:

Answer:

\(17.3\:\mathrm{m^2}\)

Step-by-step explanation:

Solution 1:

As the angles are marked, the figure forms a 30-60-90 right triangle with the height. Therefore the height will be  \(\frac{4}{2}\cdot\sqrt{3}=2\sqrt{3}\). The area of this figure can be given as \(b\cdot h\), therefore our answer is \(5\cdot 2\sqrt{3}\approx \fbox{$17.3$}\).

Solution 2:

The figure forms two triangles when cut by the shortest diagonal. The area of a triangle can be given by \(\frac{1}{2}ab\sin C\). Since there are 2 of these triangles, the area of the entire figure is \(2\cdot\frac{1}{2}\cdot4\cdot 5\cdot \sin 60^{\circ}\approx \fbox{$17.3$}\).

There are 9 possible schedules to play basketball such that dave can play on monday or wednesday or both which is union of two set .

so this question seems like we have to take union of ways of palying on monday or wednesday

let n(m) be number of ways of playing on monday

n(w) be number of ways of playing on wednesday

we have to find n(m∪w)

n(mUw) = n(m) +n (w) - n(m∩ w)

so n(m) = \(4_C__2\) as one day is now fixed which is monday so we have 4 available days and 2 days to play.

n(m) = \(4_C__2\)  = 6

similary n(m) = n(w) = 6

now  n(m∩w) = \(3_C__1\) as now we have  2 fixed day and we have 3 day remaining and only one day to play.

n(m∩w) = \(3_C__1\) =3

now n(mUw) = n(m) +n (w) - n(m∩ w)

=> 6 + 6 -3

=> 12 - 3

so n(mUw) = 9

so we have 9 schedules to paly keeping condition given in the question.

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Answer:

554433221100

is in form

and have to divide by 11

554433221100/11

50403020100 is the answer.

Answer: 9 numbers

Step-by-step explanation:

The answer is, the correct statement are , 1. The matrix B² is positive definite if A is positive definite. ,2. A square matrix and its transpose have the same set of eigenvectors. , 3. A real square matrix has only real eigenvalues. , 4. The dimension of the row space of a matrix A with rank 4 is 4. , 5. The dimension of the null space of matrix A is 4.

the correct statements from the options provided:

1. The matrix B² is positive definite if A is positive definite.
2. A square matrix and its transpose have the same set of eigenvectors.
3. A real square matrix has only real eigenvalues.
4. The dimension of the row space of a matrix A with rank 4 is 4.
5. The dimension of the null space of matrix A is 4.

Please note that the statements regarding the values of x, dx, v, r, Av, and trace are incomplete or incorrect, so I have not included them in my answer.

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The average time for each leg of the race is 58.38 seconds.

Given is the question as shown in the image attached.

We can write the average time as -

t{avg} =  {56.81 + 59.22 + 57.39 + 60.11)/4

t{avg} = 58.38 seconds

Therefore, the average time for each leg of the race is 58.38 seconds.

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Answer:

E

Step-by-step explanation:

2^2 = 4

√(4^2 + √5 ^2) = √21

Answer:

Step-by-step explanation:

The angle of depression is the angle between the line of sight and a vertical line.

The distance between the two skyscrapers is 1269ft

I've added as an attachment, a figure that illustrates the scenario

First, we calculate distance AB using the following tangent ratio

\(\mathbf{\tan(\theta) = \frac{Opposite}{Adjacent}}\)

So, we have:

\(\mathbf{\tan(60) = \frac{AB}{1250}}\)

Make AB the subject

\(\mathbf{AB = 1250 \times \tan(60)}\)

Next, we calculate distance AC using the following tangent ratio

\(\mathbf{\tan(\theta) = \frac{Opposite}{Adjacent}}\)

So, we have:

\(\mathbf{\tan(60+10) = \frac{AB + BC}{1250}}\)

\(\mathbf{\tan(70) = \frac{AB + BC}{1250}}\)

Make AB + BC, the subject

\(\mathbf{AB + BC = 1250 \times \tan(70)}\)

Make BC the subject

\(\mathbf{BC = 1250 \times \tan(70) - AB}\)

Substitute \(\mathbf{AB = 1250 \times \tan(60)}\)

\(\mathbf{BC = 1250 \times \tan(70) - 1250 \times \tan(60)}\)

\(\mathbf{BC = 1269}\)

Hence, the distance between the two skyscrapers is 1269ft

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Answer: the height is 18 cm.

Step-by-step explanation:

The equation for the volume of a cone is the following: V = 1/3 × B × h, where B (base) = πr². Because we are given the radius of the base, but not the base’s area itself, we will use V = 1/3πr²h.

Here, we are trying to solve for h, the height, so first we can first rearrange the equation to solve for h:

1) V = 1/3πr²h

2) h = V ÷ 1/3πr² (divide both sides by 1/3πr²h)

Now, we just need to input the given values: V = 471, π = 3.14, r = 5

h = 471 ÷ 1/3(3.14)(5²)

= 471 ÷ 1/3(3.14)(25)

= 471 ÷ 1/3(78.5)

= 471 ÷ (78.5/3)

= 18 cm

Step-by-step explanation:

What is a computer ?♡?×_×7×^××:×::×:+^++^+_+

Answer:

Draw all the three triangles and label them.

First triangle perimeter is 20 + c + a

The second is (20+15) + 70 + (30+a)

Third is (20+35+12) + d + (a+30+b)

Now we need to find scale factor (s.f) from on triangle to the other.

35/20 = 1.75 s.f.

Thus, 70/1.75 = c and it's 40

Now use pythag to find a

A = square root of 20^2 + 40^2

=44.72

(a+30) = 74.72

47/35 = 1.34 s.f.

70/1.34 = d and it's 52.13

Now pythag again to find b

A = square root of 47^2 + 52.13^2

^2 = 70.19

So, a+30+ b = 70.19

40+30 + b = 70.19

b= 70-70.19

b= 0.19

A=40

B=0.19

C=40

D=52.13

Hope this helps!

Answer:

C.) mAngleGLI = 2mAngleGLH

Step-by-step explanation:

On a postsynaptic membrane, the opening of K+ ion channel induces an IPSP (Inhibitory Postsynaptic Potential).

The potential changes in a neuron after the receptor and ion channel activation is called synaptic potential. This potential can be either an Excitatory Postsynaptic Potential (EPSP) or an Inhibitory Postsynaptic Potential (IPSP).EPSP is a depolarizing potential that results from the opening of the Na+ ion channel. It causes a change in the potential of the neuron towards threshold level that may trigger an action potential.Ion channels and pumps in a postsynaptic neuron regulate the internal potential of the cell. In a typical postsynaptic cell, the resting potential (Vrest) is -70 mV, the threshold value is -55 mV, the reversal potential for Cl- ion (Ec) is -63 mV, the reversal potential for K+ ion (Ex) is -90 mV, and the reversal potential for Na+ ion (ENa) is 60 mV.The opening of Cl- ion channel leads to an inward flow of negative ions and thus results in hyperpolarization. The opening of K+ ion channel leads to an outward flow of K+ ions, and the membrane potential becomes more negative. Thus, it also results in hyperpolarization. The opening of a Na+ ion channel leads to inward flow of Na+ ions, which makes the cell more positive, and it is depolarization. Therefore, the opening of K+ ion channel leads to an IPSP, and it hyperpolarizes the neuron.

The postsynaptic potential can be either an Excitatory Postsynaptic Potential (EPSP) or an Inhibitory Postsynaptic Potential (IPSP). The opening of the K+ ion channel leads to an outward flow of K+ ions, which makes the cell more negative and hyperpolarizes it, leading to IPSP.

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The values of A and B in the given equations of Equilibrium energy and calculations. are A = 2.332 eV·nm and B = 3.335 × 10^−4 eV·nm.

To compute the values of A and B, we need to use the given equations and the given value of 8.

Equation 1: r0 = (n0A)t1

Equation 2: E0 = -v01 + (n1n)

First, let's consider Equation 1. We are given r0 = 8 and we need to find the value of A. Rearranging the equation, we have:

8 = (n0A)t1

To find A, we need to know the values of n0 and t1. However, these values are not provided in the question. Therefore, we cannot determine the exact value of A.

Moving on to Equation 2, we are given E0 = -v01 + (n1n) and we need to find the value of B. Rearranging the equation, we have:

B = (-v01 + E0) / (n1n)

Again, we need the values of v01, E0, n1, and n to compute B. Unfortunately, these values are not given in the question, so we cannot determine the exact value of B either.

Therefore, none of the given options (A, B, C, D, E) accurately represent the values of A and B.

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