help me with this please

Answer:

12

Step-by-step explanation:

Answer:

2.7

Step-by-step explanation:

2.7 is not a whole number because it has a decimal behind it. All of the other numbers are whole because they do not.

Answer:

2.7

Step-by-step explanation:

2.7 is not a whole number

it is not a whole number because a whole number is something that doesn't have a fraction or a decimal.

btw please mark me brianliest if you can. :>

Answer:

The second choice. Because the x-coordinate in the second choice is constant unlike the others, which is a property of a function.

Given statement solution is :- It takes 5.625 minutes for the front of the train to enter the tunnel. Since it takes the same amount of time for the back of the train to exit the tunnel, the answer is also 5.625 minutes.

To solve this problem, we need to convert the train's speed from minutes per hour to miles per minute.

Given:

Train's speed = 45 minutes per hour

Length of the train = 1/8 mile

Length of the tunnel = 1 mile

First, let's convert the train's speed from minutes per hour to miles per minute:

Speed = 1 hour / 45 minutes = 1/45 hours per minute

Since the train is traveling at a constant speed, we can assume it takes the same amount of time to travel the entire length of the tunnel. Therefore, the time it takes for the back of the train to exit the tunnel will be the same as the time it takes for the front of the train to enter the tunnel.

Let's calculate the time it takes for the front of the train to enter the tunnel:

Distance = Speed × Time

1/8 mile = (1/45) miles per minute × Time

Solving for Time:

Time = (1/8) / (1/45)

Time = (1/8) × (45/1)

Time = 45/8

Time = 5.625 minutes

Therefore, it takes 5.625 minutes for the front of the train to enter the tunnel. Since it takes the same amount of time for the back of the train to exit the tunnel, the answer is also 5.625 minutes.

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Answer:

y = 21

Step-by-step explanation:

(3y-8) = 55 (corresponding angles are equal)

3y-8 = 55 (add 8 from both sides)

3y = 63 (divide 3 from both sides to isolate the y variable)

y = 21 (final answer)

Answer:

y = 21

Step-by-step explanation:

9514 1404 393

Answer:

  60 meters

Step-by-step explanation:

The area of Square B is the difference of the areas of squares C and A, so is 225 square meters. The side length is √225 = 15 meters, so the sum of the lengths of the four sides is 4·15 = 60 meters.

The perimeter of square B is 60 meters.

(a) The number of exploratory borings required and their depth, as per the NYC Code, would depend on several factors such as the size and complexity of the project, the specific requirements of the local building code, and the recommendations of geotechnical engineers conducting the site investigation.

To determine the exact number and depth of exploratory borings, a detailed geotechnical investigation should be conducted by a qualified geotechnical engineer or geotechnical consulting firm. They will assess the site conditions, subsurface soil profile, and design requirements to determine the appropriate number and depth of borings needed.

(b) The type of drilling and sampling equipment recommended for this project would also depend on various factors such as soil conditions, access limitations, budget constraints, and the specific requirements of the geotechnical investigation. However, some common drilling and sampling methods that may be suitable for this project include:

1. Hollow-stem auger drilling: This method involves using a rotating hollow-stem auger to drill into the soil and collect continuous soil samples. It is commonly used for soft to stiff soils and can provide relatively undisturbed samples for laboratory testing.

2. Standard penetration test (SPT): SPT involves driving a split-spoon sampler into the ground using a drop hammer. It provides a measure of soil resistance and can help determine the engineering properties of the soil layers.

3. Cone penetration test (CPT): CPT involves pushing a cone-shaped penetrometer into the ground and measuring the resistance and pore pressure. It can provide continuous soil profile data and is useful for assessing soil strength and stratigraphy.

4. Sonic drilling: Sonic drilling uses high-frequency vibrations to advance a drill string into the ground. It is efficient in a variety of soil conditions and can provide high-quality core samples.

The specific drilling and sampling equipment selection should be determined based on the recommendations of the geotechnical engineer conducting the investigation, considering factors such as soil conditions, depth requirements, budget, and accessibility constraints at the site.

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Answer:

B. x - 2

Step-by-step explanation:

Therefore ,there are 158,184,000 ways to create a license plate in this system.

A selection from a group of separate items is called a combination in mathematics, and the order in which the elements are chosen is irrelevant (unlike permutations). An apple and a pear, an apple and an orange, or a pear and an orange are three combinations of two fruits that can be chosen from a set of three fruits, such as an apple, an orange, and a pear. Formally speaking, a set S's k-combination is a subset of S's k unique components. Two combinations are therefore equal if and only if they have the same elements in both combinations.

According to the counting principle, the total number of ways to obtain a license plate is calculated by multiplying the number of times each of these events might occur together.

The first number (the digits 1 through 9) can be obtained in nine different ways.

There are 26 methods to obtain the first letter. There are 26 ways to obtain the following letter (repetition is acceptable).

There are 26 methods to get the third letter, 10 ways to get the next number (zero is acceptable), and 10 ways to get the following number with repetitions.

How many ways are there to get the next number? 10 ways\s.

Thus ,total options for obtaining a license plate:

9 x 26 x 26 x 26 x 10 x 10=158184000

Therefore ,there are 158,184,000 ways to create a license plate in this system.

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The solution to the given first-order linear differential equation is \(y(x) = \frac{1}{x^3+1} \left( x^3 + \frac{3}{10} e^{-x^3} \sin(x) + \frac{7}{10} \cos(x) \right)\).

The first-order linear differential equation \(y'+3x^2y=\sin(x)e^{-x^3}\) with the initial condition \(y(0)=1\), we can use the method of integrating factors. The integrating factor is given by \(I(x)=e^{\int 3x^2 dx}=e^{x^3}\).

Multiplying both sides of the differential equation by the integrating factor, we have \(e^{x^3}y'+3x^2e^{x^3}y=e^{x^3}\sin(x)e^{-x^3}\). Simplifying the equation, we get \((e^{x^3}y)'=\sin(x)\).

Integrating both sides with respect to \(x\), we obtain \(e^{x^3}y=\int \sin(x)dx=-\cos(x)+C\), where \(C\) is the constant of integration.

Dividing both sides by \(e^{x^3}\), we have \(y(x)=\frac{-\cos(x)+C}{e^{x^3}}\).

Using the initial condition \(y(0)=1\), we substitute \(x=0\) and \(y=1\) into the equation to solve for \(C\). This gives us \(C=1\).

Therefore, the solution to the differential equation is \(y(x)=\frac{-\cos(x)+1}{e^{x^3}}\).

Simplifying further, we have \(y(x)=\frac{1}{x^3+1}\left(x^3+\frac{3}{10}e^{-x^3}\sin(x)+\frac{7}{10}\cos(x)\right)\).

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Since, the department contains 11 men and 20 women . thus, there are 378165 number of ways to form a committee with 6 members if it must have strictly more women than men.

Permutations and combinations are methods used to calculate the number of possible outcomes in various situations. Permutations are understood as permutations and combinations are understood as selections. According to the basic principle of counting, there are summation rules and multiplication rules to make counting easier.

We know that:

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

Now, from n = 11 men we choose 2 and r = 20, we get:

           \(^{11} C_{2} = \frac{11!}{2! 9!}\)  = 55

A number of ways with 4 women and 2 men:

     \(^{20}C_4 * ^{11}C_2 = \frac{20!}{4!6!} \frac{11!}{2!9!}\)

⇒ 5× 3× 9× 17× 55 = 126225

A number of ways with 5 women and 1 man:

\(^{20}C_5 * ^{11}C_1 = \frac{20!}{5!15!} \frac{11!}{1!10!}\)

= 5 × 19× 3× 4× 17× 11

=213180

A number of ways with 6 women and 0 men:

\(^{20}C_6 * ^{11}C_0 = \frac{20!}{6!14!} \frac{11!}{0!11!}\)

= 19 × 17× 8× 15× 1

= 38760

Now,

Adding up all the 3 cases:

126225 + 213180 + 38760 = 378165

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The velocity of the top of the ladder is 20.62 feet per second.

We can use the Pythagorean theorem to relate the distance between the wall and the base of the ladder to the height of the ladder. Let h be the height of the ladder, then we have:

h² + 7² = 25²

h² = 576

h = 24 feet

We can then use the chain rule to find the velocity of the top of the ladder. Let v be the velocity of the base of the ladder, then we have:

h² + (dx/dt)² = 25²

2h (dh/dt) + 2(dx/dt)(d²x/dt²) = 0

Simplifying and plugging in h = 24 and dx/dt = -2, we get:

(24)(dh/dt) - 2(d²x/dt²) = 0

Solving for (d²x/dt²), we get:

(d²x/dt²) = (12)(dh/dt)

We can find (dh/dt) using the Pythagorean theorem and the fact that the ladder is sliding down the wall at a rate of 2 feet per second:

h² + (dx/dt)² = 25²

2h(dh/dt) + 2(dx/dt)(d²x/dt²) = 0

Substituting h = 24, dx/dt = -2, and solving for (dh/dt), we get:

(dh/dt) = -15/8

Finally, we can find (d²x/dt²) by plugging in (dh/dt) and solving:

(d²x/dt²) = (12)(dh/dt) = (12)(-15/8) = -45/2

Therefore, the velocity of the top of the ladder is 20.62 feet per second.

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Answer:

Exact Form:

21/64

Decimal Form:

0.328125

Step-by-step explanation:

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

=================================================

Explanation:

Check out the diagram below.

Plot R(-3,7) and T(3,-11) on the same xy grid.

Draw a vertical line through R and a horizontal line through T. A right triangle forms. At the intersection point is point S(-3,-11)

----------------------

Now measure the distance from point S to point T. You can count out the spaces or subtract the x coordinates and use absolute value.

|x1-x2| = |-3-3| = |-6| = 6

From point S to point T is 6 units.

We want to subdivide this horizontal length in the ratio 1:2

What this means is that we want to plot a point U somewhere such that SU:UT = 1:2

In other words,

SU = x

UT = 2x

SU+UT = ST

x+2x = 6

3x = 6

x = 6/3

x = 2

So we must move 2 spaces to the right from point S to get to U(-1,-11)

Going from point U(-1,-11) to T(3,-11) is 4 spaces

We have SU:UT = 2:4 = 1:2 to help confirm we have the correct location for point U

From point U, we then move straight up to the line segment RT

We'll land on Q(-1,1)

----------------------

Another way to find the y coordinate of point Q is to subdivide the segment RS into the ratio 1:2 similar to how we divided ST up

Segment RS is 18 units long since we go from y = 7 to y = -11 when going from R to S.

If V was on segment RS such that

RV:VS = 1:2

and RV = y

then

RV+VS = RS

y+2y = 18

3y = 18

y = 6

RV = y = 6

VS = 2y = 2*6 = 12

So you'll move 6 units down from y = 7 to land on y = 1 (when going from the y coordinate of R to the y coordinate of Q)

Answer:

a

Step-by-step explanation:

On the number line, negative numbers are less than zero. positive numbers are larger than zero.

Answer:

15 + .50x ≥ 25    (20 customers)

Step-by-step explanation:

to get a minimum of $25 per week, Stacey needs to earn $10 on her paper route since she is already getting $15 per week in general. Now we can divide 10 by .50 to find out how many customers Stacey needs to make $25 per week. 10/.50 is 20 which means that Stacey needs at least 20 customers to make at least $25 per week.

(sorry if this is confusing but I hope it helped)

The equation can be used to find the number of customers is -

25 = 15 + 0.5x

The equation can be used to find the number of customers.

We have Stacey who earns $15 each week plus $ 0.50 for each customer on her paper route. She wants to earn at least $25 each week.

We have to determine which equation can she use to find x, the number of customers she needs to make exactly $25.

The equation representing the above situation is -

y = 10000 + 2000x = 2000(5 + x)

According to the question, we have -

Money earned by Stacey each week = $ 15

Additional money she earns for each customer = $0.50

Money Stacey wants to earn per week = $25

Net additional money she need = $25 - $15 = $10

Now, she earns -

$0.50 → 1 customer

$1  →  \($\frac{1}{0.50}\)  customers

$10 →  \($\frac{1}{0.50} \times 10\)  = 2 x 10 = 20 Customers.

In the form of equation, assume that she needs 'x' customers to make exactly $25.

Therefore -

25 = 15 + 0.5x

The above equation can be used to find the number of customers.

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Answer:

y = 2x - 2

Step-by-step explanation:

Answer:

y= 2x -2

Step-by-step explanation:

x + 2y= 16

1.) rearrange the formula in the form y=mx + c

x + 2y = 16(subtract x on both sides)

2y = 16-x(divide by 2 on both side)

y = 8 - x/2

or

y = -x/2 + 8

2.)find gradient,use the formula:

M1 ×M2 = -1

M1 = -1/2

-1/2 × M2 = -1(divide by -1/2 on both side)

M2= 2

so our gradient is 2 and the only equation with the gradient of 2 is

y = 2x -2

Answer:

1) Velocity

\(v(t) = -4\cdot t^{3}+36\cdot t^{2}\)

Acceleration

\(a(t) = -12\cdot t^{2}+72\cdot t\)

2) Velocity

\(v(t) = -4\cdot t^{3}+24\cdot t^{2}\)

Acceleration

\(a(t) = -12\cdot t^{2}+48\cdot t\)

Step-by-step explanation:

From Physics we remember that velocity (\(v(t)\)) and acceleration (\(a(t)\)) are the first and second derivatives of the function position in time. That is:

1) Let \(s(t) = -t^{4}+12\cdot t^{3}\), where \(t \ge 0\). The functions velocity and aceleration are, respectively:

Velocity

\(v(t) = -4\cdot t^{3}+36\cdot t^{2}\)

Acceleration

\(a(t) = -12\cdot t^{2}+72\cdot t\)

2) Let \(s(t) = -t^{4}+8\cdot t^{3}\), where \(t\ge 0\). The functions velocity and acceleration are, respectively:

Velocity

\(v(t) = -4\cdot t^{3}+24\cdot t^{2}\)

Acceleration

\(a(t) = -12\cdot t^{2}+48\cdot t\)

Answer:

5.7%

Step-by-step explanation:

421-367=24

24/421x100=5.7%

Answer:

g = j - 12

Step-by-step explanation:

Let's say Jessie installed j axles. Convert words to math:

- "12 more" = + 12

- "the number of engine blocks her friend Gus installed yesterday" = g

Put it together: g + 12. This is equal to j: j = g + 12. Solve for g:

j = g + 12

g = j - 12

Lets use the variables "a" and "g" to solve.

a =  number of axles

g =  number of engine blocks

If Jessie has 12 more axles than the number of engine blocks, this means we are adding (g + 12).

Now, we have the expression a = g + 12

Solve for g since we are finding the number of engine blocks Gus Installed.

a = g + 12

~Subtract 12 to both sides

a - 12 = g + 12 - 12

a - 12 = g

Therefore, the answer is [ a - 12 = g ]

Best of Luck!

The answer of the given question based on the trajectory projection is , the time golf ball takes 1 or 1/2 seconds to hit the ground.

To find out how long it takes Kayley's golf ball to hit the ground, we need to determine when the height h of the golf ball is equal to zero.

So, we can find the time t when the golf ball hits the ground by setting h equal to zero and solving for t in the given equation.

h = -16t² + 20t - 4

When the ball hits the ground, the height h will be zero.

Therefore ,-16t² + 20t - 4 = 0

Factor the left side of the equation to obtain,

-4(4t² - 5t + 1) = 0

We need to find the values of t for which the quadratic factor 4t² - 5t + 1 is equal to zero.

So, let us solve the quadratic factor as follows.

4t² - 5t + 1 = 0

The roots of the quadratic equation

ax² + bx + c = 0,

where a, b, and c are constants and a ≠ 0, are given by

x = (-b ± √(b² - 4ac)) / 2a

Substituting a = 4, b = -5, and c = 1, we get,

t = [-(-5) ± √((-5)² - 4(4)(1))] / 2(4)t

= (5 ± √9) / 8t

= (5 + 3) / 8 or (5 - 3) / 8t

= 1 or 1/2

The golf ball takes 1 or 1/2 seconds to hit the ground.

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Wave interference that results in greater wave amplitude is called Constructive interference.

What is Wave Interference?

Wave interference is a physical phenomena that occurs when two waves collide while traveling through the same medium. Waves interact in two ways.

a) Constructive Interference - In this case, the two waves cancel each other out because their amplitudes are equal and opposite.

b) Destructive Interference - This occurs when two waves add to each other as they travel in the same direction, resulting in a wave with a longer wavelength.

It is Constructive interference.

Therefore, Wave interference that results in greater wave amplitude is called Constructive interference.

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Answer:

$8502

Step-by-step explanation:

you need to gather a compilation of prices and add them all up. You then divide that total by the number of prices you gathered.

Answer:

C.  8

Step-by-step explanation:

An inverse variation is:

\(\boxed{k=xy\; \;\;\textsf{or}\;\;\;y=\dfrac{k}{x}}\)

Given points:

Substitute point (6, 12) into  k = xy  to find the value of k:

\(\implies k=6 \cdot 12=72\)

Substitute point (9, y) and the found value of k into  k = xy  and solve for y:

\(\implies k=9 \cdot y\)

\(\implies 72=9 \cdot y\)

\(\implies y=\dfrac{72}{9}\)

\(\implies y=8\)

Therefore, the missing value is y = 8.

The missing value of y is 18.

A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well.

Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.

To find the inverse variation:

We use the formula of a proportionality.

y ∝ x

Simplifying to equation,

y = kx,

where k is some constant.

To find the value of k:

Substitute the value of x and y to the equation.

For (6, 12),

y = kx

k = y/x

k = 12/6

k = 2.

Now, the equation is,

2 = y/x.

For  (9, y),

2 = y /9

y = 2 x9

y = 18

Therefore, the value of y is 18.

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Answer:

5000-4000=1000

Step-by-step explanation:

you subtract to get your answer

A survey that includes the identity of the property owner provides essential information regarding the legal ownership of the property. Option A

Legal and Administrative Purposes: Identifying the property owner is necessary for legal and administrative purposes. It establishes the rightful owner of the property and allows for proper documentation, contracts, and legal transactions related to the property.

Communication and Contact: The identity of the property owner allows for effective communication and contact between stakeholders. It enables interested parties, such as potential buyers, tenants, or authorities, to reach out to the owner for inquiries, negotiations, or obtaining necessary permissions.

Property Rights and Obligations: Understanding the identity of the property owner is essential for determining rights and obligations associated with the property.

Ownership Verification: The identity of the property owner helps in verifying the legal ownership of the property. It provides assurance to potential buyers, lenders, or investors that the seller or claimant is the rightful owner, reducing the risk of fraudulent transactions or disputes.

Transfer of Property: In cases of property transfers, such as sales or inheritances, the identity of the property owner is necessary to ensure a smooth transfer of ownership. It allows for the proper documentation of the transfer and updating of records with relevant authorities.

Option A

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Answer:

I think it would be Algebra, but Algebra also leads up to Calculus so between these two would be my guess.

Step-by-step explanation:

Answer:

calculus i think

Step-by-step explanation:

its a field of study