Will the standard form 3.2 x 10-4 be more or less than 1? Explain what effect the
negative exponent has.

The volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.

The given vectors are:

A = [-4, 3, 2] cm, B = [2,1,3] cm and C= [1, 1, 4] cm

In order to calculate the volume of parallelepiped, we will use vector triple product equation:

Volume = A . (BXC)|, where BXC represents the cross product of vectors B and C.

Step-by-step solution:

We have, A = [-4, 3, 2] cm

B = [2,1,3] cm

C = [1, 1, 4] cm

Now, let's find BXC, using the cross product of vectors B and C.

BXC = | i    j     k|                    2      1     3                            1      1     4        | i    j     k |  = -i + 5j - 3k

Where, i, j, and k are the unit vectors along the x, y, and z-axes, respectively.

The volume of the parallelepiped is given by:

Volume = A . (BXC)|

Therefore, we have: Volume = A . (BXC)

\(Volume = [-4, 3, 2] . (-1, 5, -3)\\Volume = (-4 \times -1) + (3 \times 5) + (2 \times -3)\\Volume = 4 + 15 - 6\\Volume = 13\)

Therefore, the volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.

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An individual will want small remote valve and a large valve close to the cylinder in order to build the pressure.

It should be noted that pressure simply means the measure of the force that's applied over a unit area.

In this case, an individual will want small remote valve and a large valve close to the cylinder in order to build the pressure between each valve and also create more pressure for the cylinder.

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The probability that a randomly selected student score is less than 85 points is 97.72%

What is a normal distribution?

A normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution.

How to calculate normal distribution?

z = (x - mean)/standard deviation.

After that calculate the value from the normal distribution table.

First, we need to determine the value of z = (x - mean)/ standard deviation

mean = 79

standard deviation = 3

x = 85

then,

(85-79)/3

= 2

From a normal distribution table,

P(x<2) = 0.97725

Hence, the probability that a randomly selected student score is less than 85 points is 97.72%

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The vectors u and v are not equal because they have different direction.

If the initial point is (x₁, y₁)  and terminal point is (x₂, y₂) then the vector is

Vector =(x₂-x₁)i+(y₂-y₁)j

Vector v with an initial point of (0, 0) and a terminal point of (50,120).

Vector v = 50i+120j..(1)

Vector u with an initial point of (50, 120) and a terminal point of (0,0).

Vector u = (0-50)i+(0-120)j

=-50i-120j..(2)

Hence, the vectors u and v are not equal because they have different direction.

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Answer:

7/1

Step-by-step explanation:

7 over 1 equals 7 which is the answer.

The ratio of false positives to true positives is 8 over 54.

According to the Question

Results of a strep throat test performed on a sample of 400 ill people are displayed in the table's data. People who have the flu and those who don't are separated into two categories. The patients are then separated into groups based on whether they tested positive or negative for strep throat within each of these categories.

We must first define what a true positive and a false positive are in order to calculate the ratio of false positives to true positives. A patient who tests positive for strep throat but does not actually have the illness is said to have a false positive. The 8% of patients in this instance who tested positive for strep throat but did not have the flu would fall under that category. A patient who tests positive for strep throat and truly has the illness is said to have a true positive. That would be the 54% of patients who tested positive for both the flu and strep throat in this instance.

We divide the percentage of false positives (8%) by the percentage of true positives (54%), which gives us the ratio of false positives to true positives.

As a result, the ratio becomes 8% / 54%, or 8/54.

It's critical to remember that this ratio is dependent on the sample and test performed and may not be the same for different populations or testing methodologies.

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The statement a base class cannot contain a pointer to one of its derived classes is false because a base class can indeed contain a pointer to one of its derived classes.

In object-oriented programming, a base class can have a pointer to one of its derived classes. This is known as upcasting or polymorphism. Upcasting allows for the flexibility of treating derived class objects as instances of the base class.

By using pointers, a base class can refer to derived class objects and access their member functions and variables. This enables the base class to work with different derived classes without needing to know their specific types.

Pointers to derived classes can be stored in base class member variables or passed as function parameters. This allows for dynamic binding and the ability to invoke overridden functions based on the actual derived class type at runtime.

This concept is fundamental to achieving polymorphism and code reusability in object-oriented programming languages like C++ and Java. It facilitates the implementation of inheritance hierarchies and the ability to work with objects of different derived classes through a common base class interface.

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Answer:

The correct answer is 8.

Step-by-step explanation:

There are 2 ways that you can win first prize and your mom can win the second prize.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

There are 10 people who entered the drawing.

Since the prizes are awarded at random, the probability of you winning the first prize is 1/3, and the probability of your mom winning the second prize is 1/2.

We can use the multiplication principle of counting to find the number of ways that you can win first prize and your mom can win the second prize.

The number of ways that you can win first prize is 1 since there is only one first prize and you are one of the 10 people who entered.

Once the first prize winner is chosen, there are 9 people left, and the number of ways that your mom can win the second prize is 1 out of 9.

The total number of ways that you can win first prize and your mom can win the second prize is:

1 × 1/3 × 1/2 × 9 = 3/2

However, the answer cannot be a fraction or decimal, since we are counting the number of ways in which events can occur.

Therefore, we round up to the nearest integer and get:

3/2 ≈ 2

Therefore,

There are 2 ways that you can win first prize and your mom can win the second prize.

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Answer:

$3750 and $4250

Step-by-step explanation:

x + 500 = y

.045x + .035y = 317.50

.045x + .035(x + 500) = 317.50

.045x + .035x + 17.5 = 317.50

.08x = 300.00

x = 3750

y = 4250

The reciprocal of a whole number is a fraction with the whole number as the denominator.

Set up the equation:

10 * 1/x = 5 * 1/3

Simplify:

10/x = 5/3

Multiply both sides by 3:

30/x = 5

multiply both sides by x:

30 = 5x

Divide both sides by 5:

x = 6

Answer: 6

Answer:

third option

Step-by-step explanation:

Volume of a cone = V = πr²(h/3)

Where,

Here we are given the following :

Note that we are asked to find the volume in square feet so we must first convert the height and radius into feet

Converting given values

By plugging these values into the formula we acquire

V = (3.14)(124.6704²)(177.1632/3)

==> evaluate exponent

V = (3.14)(15542.7086362)(177.1632/3)

==> divide 177.1632 by 3

V = (3.14)(15542.7086362)(59.0544)

==> multiply 3.14 and 15542.7086362

V = 48804.1051175(59.0544)

==> multiply 48804.1051175 and 59.0544

V = 2882097.1 ft² (rounded to the nearest tenth)

The volume of the cone is 2882097.1 so the correct answer choice is the third option.

Important note : Its important to note that we must convert meters to feet before finding the volume. If we try to convert after finding the volume, our answer will be incorrect.

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The surface area of the rectangular prism to the nearest tenth is 158.1 m²

Surface area = 2(LW+LH+WH)

Where,

Length, L = 9.4m

Width, W = 4.1m

Height, H = 3.0m

Surface area = 2(LW+LH+WH)

= 2(9.4×4.1 + 9.4×3.0 + 4.1×3.0)

= 2(38.54 + 28.2 + 12.3)

= 2(79.04)

= 158.08 m²

Ultimately, the prism with dimensions 9.4m, 3.0m, 4.1m have a surface area of 158.08 m².

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Answer:

The solutions are given below:

Step-by-step explanation:

x(x-3)+4(x²+2)

= x²-3x+4x²+8

= x²+4x²+8-3x

= 5x²+8-3x

2(a+5)-3(a+7)

= 2a+10-3a-21

= 2a-3a+10-21

= -a-11

xy(x²yz-xy²z+xyz²)

= x³y²z-x²y³z+x²y²z²

-4(a²-2a+8)

= -4a²+8a-32

Answer:

the answer would be ten units

Step-by-step explanation:

use the Pythagorean theorem

A^2 + b^2 = C^2

8^2 + +6^2 = 10^2

Answer:

5 units

Step-by-step explanation:

The graph, the coordinates of point D is (-7, -5).

The given coordinates of the rectangle ABCD are A(−7, -2), B(3, -2) and C(3, −5).

We need to find the coordinates of point D.

A cartesian plane can be defined as a plane formed by the intersection of two coordinate axes that are perpendicular to each other. The horizontal axis is called the x-axis and the vertical one is the y-axis. These axes intersect with each other at the origin whose location is given as (0, 0). Any point on the cartesian plane is represented in the form of (x, y). Here, x is the distance of the point from the y-axis and y is the distance from the x-axis.

Now, plot A(−7, -2), B(3, -2) and C(3, −5) on cartesian plane.

The coordinates are plotted on the graph, shown below.

From the graph, the coordinates of point D is (-7, -5).

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Answer:

-3

Step-by-step explanation:

-6-(-3)

=>-6+3

=>-3

Answer:

a. -3

Explanation:

-6+3

-3

The arbitrary constants c1, c2, c3, and c4 can be determined using the initial condition z(x, x) = x^2e^2, which will yield a specific parametric form of the solutions.

To find the parametric form of the solutions, we first assume a solution of the form z(x, y) = F(x)G(y), where F(x) represents the function that depends on x only, and G(y) represents the function that depends on y only. We substitute this assumption into the PDE xzx - xyzy = z and rearrange the terms.

We obtain two ordinary differential equations: xF''(x) - F(x)G(y) = 0 and yG''(y) - F(x)G(y) = 0. These two equations can be separated and solved individually.

Solving the equation xF''(x) - F(x)G(y) = 0 gives F(x) = c1x + c2/x, where c1 and c2 are arbitrary constants. Similarly, solving the equation yG''(y) - F(x)G(y) = 0 gives G(y) = c3y + c4/y, where c3 and c4 are arbitrary constants.

Therefore, the general solution to the PDE is z(x, y) = (c1x + c2/x)(c3y + c4/y). The arbitrary constants c1, c2, c3, and c4 can be determined using the initial condition z(x, x) = x^2e^2, which will yield a specific parametric form of the solutions.

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Answer:25. Do better bro that’s sad

Step-by-step explanation:

Answer:

One ticket is 25 dollars

Step-by-step explanation:

Let T be tickets

$100 = 4T

\(\frac{100}{4} = \frac{4}{4}T\)

$25 = T

Therefore, one ticket is equal to 25 dollars

Answer:

most likely next spring

Step-by-step explanation:

Step-by-step explanation:

Answer:

A. it left at 2:00 in the morning

B. The cat is mostly active in the morning from 2:00 to 9:00 am and has a rest during the middle of the day before moving again at 18:00 until 24:00

Answer:

The statement which is true about the angles in the figure is;

The measure of Angle 4 is 137 degrees

Step-by-step explanation:

From the question diagram, we have;

The interior angles of the triangle are;

43°, 56°, and ∠1

Therefore, by the angle sum theorem, we have;

∠1 = 180° - 43° - 56° = 81°

∠1 = 81°

The measure of ∠1 is 81°

By the sum of angles on a straight line, we have;

∠1 + ∠2 = 180°

∴ 81° + ∠2 = 180°

∠2 = 180° - 81° = 99°

The measure of ∠2 is 99°

Similarly, for the angles 56° and ∠3 which are on a straight line, we have;

56° + ∠3 = 180°

∠3 = 180° - 56° = 124°

The measure of ∠3 is 124°

For the angles 43° and ∠4 which are on a straight line, we have;

43° + ∠4 = 180°

∠4 = 180° - 43° = 137°

The measure of ∠4 is 137°

Therefore the true statement is the measure of angle 4 is 137 degrees.

The system of equations is consistent and dependent and it can be determined by using the properties of the equation.

Given that,

\(\rm y=4x-4\\y=-4x+4\)

We have to determine,

The system of equations is consistent and independent, consistent and dependent, or inconsistent.

According to the question,

When a system has at least one solution, it's called consistent. When it has only one solution, it's called independent.

\(\rm y=4x-4\\y=-4x+4\)

On adding both the equation,

\(\rm y+ y=4x-4+(-4x+4)\\\\2y = 4x-4-4x+4\\\\2y = 0\\\\ y = 0\)

Substitute y = 0 to evaluate the value of x.

\(\rm y = 4x-4\\\\(0)= 4x-4\\\\ 4x=4\\\\ x = \dfrac{4}{4}\\\\x = -1\)

The solution of the equation is (1, 0).

Hence, The system of equations is consistent and dependent.

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Answer:

$899.70

hope this helps if so please award brainlist

Step-by-step explanation:

Answer:

approximately 8.9

Step-by-step explanation:

Regard (3, -2) and (7, 6) as the two acute angle vertices of a right triangle.  The horizontal leg of this triangle has the length (7 - 3) = 4, and the vertical leg 6 - (-2) = 8.  

Apply the Pythagorean Theorem to find the length of the diagonal connecting these two points.  This length is the distance between the two points:

d = √(4² + 8²) = √(16 + 64) = √80 + √16√5 = 4√5, or approximately 8.9

A graph cannot intersect its vertical asymptote. A graph can intersect is horizontal asymptote. A graph that intersect its vertical asymptote is not a valid function.

Asymptote is a line that touches the graph of a function only at infinity but it never touches its vertical asymptotes but it can touch its horizontal asymptote and that too at +∞ , -∞. The older definition of asymptotes implies it cannot intersect the graph but recent discoveries shows it is not the case. For example vertical asymptotes,

The graph of \(x^{2}\)  / \(x^{2} +1\) has x- axis as its horizontal asymptotes and it intersects at origin. Also \(\frac{sin(x)}{x}\) is asymptotic to y=0 as x→∞

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Answer:

d, e, f would be the answer but wait for someone to double check me

Answer:

yes it's d,. e,. f.

sorry if it is wrkbg

He works for 55 hours in order to receive grossly $1,144

From the question, the given parameters are

Hourly rate = $20.80 per hour

Total earnings = $1,144

The number of hours he works for is the quotient of the total earning and the hourly rate

This is represented as

Number of hours =  Total amount /Hourly rate

Substitute the known values in the above equation

So, we have the following equation

Number of hours =  1144/20.8

Evaluate

Number of hours = 55

Hence, the number of hours is 55 hours

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