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3 years ago

What are three fields scientific notation is used in

Mathematics

1 answer:

ipn [44]3 years ago

6 0

Answer:

Step-by-step explanation:

Scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. It is commonly used by scientists, mathematicians and engineers, in part ... mode on scientific calculators) differs from normalized scientific notation in that the exponent n is restricted to multiples of 3.

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belka [17]

In the figure below

1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

$\frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC}$

Where

$\begin{gathered} BX=4 \\ BA=5 \\ BY=6 \\ BC\text{ = x} \end{gathered}$

Thus,

$\begin{gathered} \frac{4}{5}=\frac{6}{x} \\ \text{cross}-\text{multiply} \\ 4\times x=6\times5 \\ 4x=30 \\ \text{divide both sides by the coefficient of x, which is 4} \\ \text{thus,} \\ \frac{4x}{4}=\frac{30}{4} \\ x=7.5 \end{gathered}$

thus, BC = 7.5

2) BX = 9, BA = 15, BY = 15, YC = y

In the above diagram,

$\begin{gathered} BC=BY+YC \\ \Rightarrow BC=15\text{ + y} \end{gathered}$

Thus, from the theorem of similar triangles,

$\begin{gathered} \frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC} \\ \frac{9}{15}=\frac{15}{15+y} \end{gathered}$

solving for y, we have

$\begin{gathered} \frac{9}{15}=\frac{15}{15+y} \\ \text{cross}-\text{multiply} \\ 9(15+y)=15(15) \\ \text{open brackets} \\ 135+9y=225 \\ \text{collect like terms} \\ 9y\text{ = 225}-135 \\ 9y=90 \\ \text{divide both sides by the coefficient of y, which is 9} \\ \text{thus,} \\ \frac{9y}{9}=\frac{90}{9} \\ \Rightarrow y=10 \end{gathered}$

thus, YC = 10.

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1 year ago

Factor completely 4xy − 7x 20y − 35. (x 5)(4y − 7) (x − 5)(4y 7) (x − 5)(4y − 7) (x 5)(4y 7).

yuradex [85]

Answer:

Step-by-step explanation:

Given expression:

To factor the given expression completely.

Solution:

In order to factor the expression, we will factor in pairs.

We will factor the G.C.F of the terms in the pairs.

G.C.F. of and can be given as:

Thus, G.C.F. =

G.C.F. of and can be given as:

Thus, G.C.F. =

The expression after factoring the G.C.F. pairs is given as:

Taking G.C.F. of the whole expression as is a common term.

The expression is completely factored.

Step-by-step explanation:

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2 years ago

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Which data set represents the box plot? A) {56, 66, 93, 90, 57, 66, 69, 68, 76, 64, 48} B) {56, 66, 95, 90, 57, 66, 69, 68, 76,

iVinArrow [24]

Answer:

B) {56, 66, 95, 90, 57, 66, 69, 68, 76, 64, 51}

Step-by-step explanation:

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Ilya [14]

Answer:

domain -infinity

range(6)

Step-by-step explanation:

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