what is 0.0018 in scientific notation

David's original weight was 182 pounds, as we determined by retracing his weight changes in reverse order.

To find out how much David originally weighed, we need to work backwards from his ending weight, taking his weight changes into account. Currently David weighs 177 pounds. However, before gaining the last 4 pounds, he would have weighed 177 - 4 = 173 pounds.

Going back further, before losing 25 pounds, he would have weighed 173 + 25 = 198 pounds. Finally, before David gained 16 pounds over the winter, his original weight would have been 198 - 16 = 182 pounds.

So, David's original weight was 182 pounds.

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The equation of line which is parallel to y = 5x + 2 and passing through (-6, -1) is y = 5x + 29. Then the correct option is A.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Identify an equation in slope-intercept form for the line parallel to y = 5x + 2 that passes through (–6, –1).

The slope of the parallel lines is the same.

Then the equation will be

y = 5x + c

And the line is passing through (-6, -1), then the value of c will be

-1 = 5(-6) + c

c = 30 - 1

c = 29

Then the equation of line which is parallel to y = 5x + 2 and passing through (-6, -1) is y = 5x + 29.

Then the correct option is A.

More about the linear equation link is given below.

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Final answer:

A set of data that is made up of two paired variables is called bivariate data. These types of data reflect a one-to-one relationship between the paired variables and can be visualized using graphs with independent and dependent variables.

Explanation:

The set of data made up of two paired variables is known as bivariate data. This type of data includes pairs of related data where each data point in one set is matched with exactly one data point in the other set, establishing a one-to-one relationship between the two. Essentially, in a paired data set, both data sets are the same size, and there's an explicit connection between each point in one set to one in the other.

A common way to visualize the relationship between two properties of a system is by using a two-dimensional data plot. This graph will typically have two axes: a horizontal axis for the independent variable (often represented as 'x'), and a vertical axis for the dependent variable (often represented as 'y'). For example, if we know a relationship such as y = x² + 2, we can create a table of x and y values and then graph them to visualize the relationship.

When dealing with categorical variables, data is often represented in a two-way table, which is also based on bivariate data. In such a table, entries in the total row and total column are called marginal frequencies or marginal distributions.

Answer:

The answer is x<3

Step-by-step explanation:

Answer:

Option B - [tex]g(x) = 4(x+3)^2-68[/tex]  

Step-by-step explanation:

Given : Function is x = 2 mapped to 32.

To find : Which function is it ?

Solution : We put x=2 in every function and which result to 32 is the answer.

A. [tex]f(x) = -3x^2-4[/tex]

[tex]f(2) = -3(2)^2-4[/tex]

[tex]f(2) = -3(4)-4[/tex]

[tex]f(2) = -12-4[/tex]

[tex]f(2) = -16[/tex]

B. [tex]g(x) = 4(x+3)^2-68[/tex]

[tex]g(2) = 4(2+3)^2-68[/tex]

[tex]g(2) = 4(5)^2-68[/tex]

[tex]g(2) = 4(25)-68[/tex]

[tex]g(2) = 100-68[/tex]

[tex]g(2) = 32[/tex]

C. [tex]h(x) = 3x[/tex]

[tex]h(2) = 3(2)[/tex]

[tex]h(2) = 6[/tex]

D. [tex]j(x) = 2x-62[/tex]

[tex]j(2) = 2(2)-62[/tex]

[tex]j(2) = 4-62[/tex]

[tex]j(2) =-58[/tex]

Option B -[tex]g(x) = 4(x+3)^2-68[/tex]  gave you the result  [tex]g(2) = 32[/tex]

Therefore, Option B is correct.

The secant in the given figure is:

                                  CD

We know that in geometry a secant is a line that intersect the circle or any curve in atleast two distinct points.

Here we have a curve as a circle.

Hence, the secant is:  CD

( Also   MH is not a secant since it does not intersect the curve at any point.

Also   CT is not a secant because it is not a line, it is a line segment although it intersect the curve at two distinct points )

The most precise classification of the quadrilateral defined by the points F(-13, 7), I(1, 12), N(15, 7), and E(1, -5) is a kite.

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral. That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

We are given that;

The points F(-13, 7), I(1, 12), N(15, 7), E(1, -5)

Now,

To determine the most precise classification of the quadrilateral defined by the points F(-13, 7), I(1, 12), N(15, 7), and E(1, -5), we need to use the properties of quadrilaterals and their classifications.

One way to classify a quadrilateral is by its sides and angles. Based on this classification, the quadrilateral can be classified as a kite. A kite is a quadrilateral with two pairs of adjacent sides that are equal in length, and the diagonals of a kite are perpendicular.

To see why the quadrilateral defined by F, I, N, and E is a kite, we can start by noting that FI and EN have equal length, as do IN and FE. Additionally, we can compute the lengths of the diagonals and check whether they are perpendicular.

The length of diagonal FN is sqrt(676+25)=sqrt(701), and

The length of diagonal IE is sqrt(256+49)=sqrt(305).

The product of the slopes of FI and EN is (12-7)/(1-(-13))*(1-(-5))/(1-15)=-5/4. This product is negative, indicating that the diagonals are perpendicular.

Therefore, the quadrilateral defined by F, I, N, and E is a kite.

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Final answer:

The most precise classification of the given quadrilateral formed by the coordinates (-13, 7), (1, 12), (15, 7), and (1, -5) is a parallelogram.

Explanation:

The given coordinates (-13, 7), (1, 12), (15, 7), and (1, -5) form a quadrilateral. To determine the most precise classification of the quadrilateral, we need to analyze its properties.

Based on the given coordinates, we can see that opposite sides of the quadrilateral are parallel. The vectors formed by connecting the consecutive points are FI = (14, 5), IN = (14, -12), and NE = (-14, -12). These vectors have equal magnitudes, indicating that the quadrilateral is a parallelogram.

Therefore, the most precise classification of the quadrilateral is a parallelogram.

0.5(6d+10) = 17

3d+5 = 17

3d =12

d = 12/3

d = 4

Answer: it 5

Step-by-step explanation: 6d=6.5=10 = 16.5+0.5=17

Answer:

B. Number of switches

x. 5x + 8

1. 13

2. 18

3. 23

Final answer:

The expression for the total cost of an order with x pushbutton switches is 5x + 8. For six switches, it amounts to 5(6) + 8, or $38.

Explanation:

The total cost of ordering a certain number of switches can be determined by the expression 5x + 8, where x is the number of pushbutton switches ordered. In this instance, to find the total cost for six switches, we substitute x with 6. Therefore, the calculation would be 5(6) + 8.

Calculating this, we get:

Thus, the total cost for ordering six switches is $38.

48 + 72 = 120= 60*2

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D. 3 is 3% of 100 and it increase by 3

Answer:

its D (just did it)

Step-by-step explanation:

 the equation for a two variable equation is ax +by = r

r would be the total number of petri dishes ordered

 so you have ax + by = 185

ax would be the number of dished used times x number of days = 12x

 so you now have 12x + by = 185

 b is unknown so the equation becomes 12x +y = 185

Answer:

If the function is [tex]f(x)=-23x+2[/tex], then the value of f(12) is -274.

Note: If the function is [tex]f(x)=-\frac{2}{3}x+2[/tex], then the value of [tex]f(\frac{1}{2})[/tex] is [tex]\frac{5}{3}[/tex].

Step-by-step explanation:

The given function is

[tex]f(x)=-23x+2[/tex]

Put x=12,

[tex]f(x)=-23(12)+2=-274[/tex]

It is not a fraction value.

Note: If the given function is

[tex]f(x)=-\frac{2}{3}x+2[/tex]

We have to find the value of [tex]f(\frac{1}{2})[/tex].

Put [tex]x=\frac{1}{2}[/tex] in the given function.

[tex]f(\frac{1}{2})=-\frac{2}{3}(\frac{1}{2})+2[/tex]

[tex]f(\frac{1}{2})=-\frac{1}{3}+2[/tex]

[tex]f(\frac{1}{2})=\frac{-1+6}{3}[/tex]

[tex]f(\frac{1}{2})=\frac{5}{3}[/tex]

Therefore the value of [tex]f(\frac{1}{2})[/tex] is [tex]\frac{5}{3}[/tex].

Answer:

Step-by-step explanation:

Y = total weight of books

X = number of books

6 = weight (in ounces) of 1 book

total weight of books = weight of books x number of books

Y = 6X

Answer:

Only 0,0    You don't order negative numbers of books which eliminates the first two pairs.  And you don't order 1/2 a book which eliminates the last pair.

Step-by-step explanation:

If you order 0 shirts they will weight 0 ounces is the only viable solution.

The x-intercept of the line −6x+3y=18.9 is −3.15, and the y-intercept is 6.3. The point-slope form of the line with slope −14 passing through (-2, 9) is y−9=−14(x+2). The ordered pairs that solve the inequality y∓4x≥−5 are (1, −1), (−4, 2), and (−2, 1).

To find the x-intercept and y-intercept of the line described by the equation −6x+3y=18.9, we can set each variable to zero in turn and solve for the other:

Therefore, the x-intercept is −3.15 and the y-intercept is 6.3.

For the point-slope form of the line with slope −14 that passes through the point (−2, 9), we use the formula y – y1 = m(x – x1), where m is the slope and (x1, y1) is the point the line passes through. This gives us:

y – 9 = −14(x – (−2)) → y – 9 = −14(x + 2)

The correct option is C. y – 9 = −14(x + 2).

To determine which ordered pairs are solutions to the inequality y – 4x ≥ −5, we test each pair by substituting the x and y values into the inequality:

The ordered pairs that are solutions to the inequality are (1, −1), (−4, 2), and (−2, 1).

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ACB would be half of AOB

80/2 = 40

 answer is D 40 degrees

A composite number has only one prime factorization, and 1 is the only number without prime factors. Prime factorization plays a crucial role in cryptography. Peer work review would focus on understanding and accuracy but cannot be provided without specific student examples.

No, a composite number cannot have more than one prime factorization due to the Fundamental Theorem of Arithmetic, which states that every integer greater than 1 either is a prime number itself or can be factored into prime numbers in exactly one way, ignoring the order of the factors. On the other hand, the only number that has no prime factors is 1, as it is neither prime nor composite.

One real-world application of prime factorization is in cryptography, particularly in algorithms like RSA, which is used to secure data transmission over the internet. The difficulty in factoring large numbers into primes is what makes this method effective for encrypting sensitive information such as credit card numbers.

Without specific examples of the work of other students, it is not possible to provide a review. Typically, when reviewing peer work, one would assess the correctness of their understanding of prime factorization and its application in real-world scenarios, as well as the clarity and accuracy of their explanations.

The value of the base angle will be 49 degrees.

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

A vertex is an angle that is connected to a vertex of an n-dimensional polytope in geometry. It refers to the angle created by two lines colliding in two dimensions.

Given that each face of a pyramid is an isosceles triangle with an 82° vertex angle.

The base angle will be calculated by using the formula below:-

Base angles  = (180°-vertex)/2=(180-82)/2

Base angles = 98/2=49°

Base angles = 49°

Therefore, the value of the base angle will be 49 degrees.

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Final answer:

To find the dimensions of a rectangle where the length is 3 ft less than twice the width and the area is 44 ft², we use the relationship between the width and length to set up a quadratic equation. After solving for the width, we use that width to find the length and confirm that the area is correct.

Explanation:

To find the dimensions of the rectangle with an area of 44 ft2, we need to set up an equation based on the given relationships. Let's denote the width of the rectangle as w and the length as l. According to the problem, the length is three feet less than twice the width, so we have l = 2w - 3. The area of the rectangle is the product of its width and length, so the equation to calculate the area is w × l = 44. Substituting the expression for l into this equation yields w × (2w - 3) = 44.

Solving this quadratic equation, we distribute the width and get 2w2 - 3w = 44. By moving all terms to one side, we have 2w2 - 3w - 44 = 0. Factoring the quadratic equation or using the quadratic formula will result in two values for w, where one will be the width and the corresponding l will be the length when plugged into l = 2w - 3.

Let's find the dimensions:

Once the values are calculated, we can confirm that the width and length provide an area of 44 ft2.

Therefore, the width of the rectangle is w= 5.5 feet.

Now, we can find the length (l):

l=2w−3=2(5.5)−3=11−3=8

So, the length of the rectangle is l=8 feet.

Answer:

Equation of the line written in slope-intercept form y = 2x .

Option C is correct .

Step-by-step explanation:

As the equation of a line is represented by .

y = mx + c

Where m is the slope and c is the y - intercept .

As given

The slope of a line is 2, and the y-intercept is 0.

m = 2

c = 0

Put all the values in the above

y = 2x + 0

y = 2x

Therefore equation of the line written in slope-intercept form y = 2x .

Option C is correct .