Evaluate the expression. Write your answer in scientific notation.
1. 4.1x10^3) + (3.7x10^2)
2. (1.2x10^(3))*(4x10^(5))

Answers

Answer 1
1. 4.47 x 10^3
2. 4.8 x 10^8

Related Questions

The ranges of values = 40 and the number of sets = 10 , then the length of set is

Answers

For example, if S={1, 2, 3, 4, 5, 6, 7} and T={1, 2, 3, 4, 5, 6}, then x=6>5=y, but if S={1, 2, 3, 4, 5, 6, 7} and T={1, 2, 3, 4, 5, 7}, then x=6=y. not sufficient.

What is values?Values are ideals or beliefs that a group or an individual hold and are essential for determining what is desirable or undesirable to them. Values can also be seen as overall conceptions people hold toward the world and aligns their behavior, motivation, perceptions, and personality. Values establish a framework through which people can compare what is most important and, in most cases, forms the basis for making choices. People interact with the world based on their values, which vary from person to person.An individual can value integrity, while another will value loyalty, and these values are shaped by a person's past experiences or cultural background. Notably, an individual can have several sets of values, but the degree to which the person can value these things can vary. A good example is someone who values family and wealth. There could be situations whereby such an individual can be faced with choosing between family and wealth, and it is very normal to sacrifice one over the other.

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Complete question is: If the ranges of values = 40 and the number of sets = 10 , then what will be the length of set ?

Please I need help with this question

Answers

X is equal to 2 square root 3

Subtract -2a+7b=-5 from the other equation so the b-terms become opposites

Answers

When subtracted -2a+7b=-5 from the other equation so the b-terms become opposites, we get 2a -7b = 5 as the result.

What is equation?

In mathematics, an equation is an expression or a statement made up of two algebraic expressions with the same value that are separated by the equal sign. It is a mathematically quantified version of an otherwise expressed statement. Equations can take many different forms. Equations are used to compare two expressions.

To Subtract -2a+7b=-5 from the other equation so the b-terms become opposites, we need to make +7b to -7b

This is only possible when the other term has 14,

Lets solve

 2a + 7b = - 5

- 4a + 14b = -10

-2a -7b = 5

Thus, when subtracted -2a+7b=-5 from the other equation so the b-terms become opposites, we get 2a -7b = 5 as the result.

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2x + 3 5x – 42 x = [ ? ]​

Answers

554466533456662244333,,(655567789
x = 15 hope this helps :)

Please help with all

Answers

That is hard but i think the first one is linear 2nd is non linear 3rd non linear

Flow chart to find the biggest of 3 numbers​

Answers

The flowchart to find the biggest of 3 numbers is mentioned below:

Define Flowchart.

A flowchart is a type of diagram that represents an algorithm, process, or workflow. It is a visual representation of the steps and decisions involved in a problem-solving or decision-making process. Flowcharts use a variety of symbols and shapes to represent different types of steps and decisions, such as inputs, outputs, process steps, and decision points. They are used to communicate the logic of a program or process to different stakeholders, such as developers, managers, and users.

Define Algorithm.

An algorithm is a set of instructions or a step-by-step procedure for solving a problem or completing a task. It is a well-defined sequence of operations or actions that are taken in order to achieve a specific goal or outcome. Algorithms can be expressed using natural language, pseudocode, or programming languages. The steps in an algorithm must be unambiguous and have a clear stopping point.

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Using the Pythagorean Theorem PLEEEEEEEEEEEEEAAAAAASE!



A car traveled 48 miles west and then 14 miles south. How far is the
car from its starting point?

Answers

Answer:

50 miles.

Step-by-step explanation:

You can visualize this as a triangle. the west route is one leg and the south route is the other. The distance from the starting point is the hypotenuse. 48^2+14^2=c^2, c=50.

Answer:

50

Step-by-step explanation:

[tex]48^{2} + 12^{2} = x^{2} \\X= 50[/tex]

Consider r (x) = StartFraction a x Superscript b Baseline + 8 Over c x Superscript d Baseline EndFraction, where a, b, c, and d are positive integers and b < d. What value does r(x) approach as x approachesInfinity? 0 StartFraction a Over c EndFraction StartFraction b Over d EndFraction Infinity

Answers

Answer:

The correct answer is 0 or choice A on edge

Step-by-step explanation:

right on edge

Therefore, value of r(x) as x approaches Infinity : zero

[tex]\bold{\lim_{x \to \infty} r(x)=0}[/tex]

What is function?

"A function is a special relationship where for each input and their is single outputs."

What is limit?

"Limit is defined as the value that a function approaches for the given input value."

For given situation,

We have been given a function,

r (x) = Start Fraction a x Superscript b Baseline + 8 Over c x Superscript d Baseline End Fraction

We can rewrite it as,

[tex]r(x)= \frac{ax^b+8}{cx^d}[/tex] , where a, b, c, and d are positive integers and b < d.

We need to find the value of r(x) approach as x approaches Infinity.

This means, we need to find the value of the limit [tex]\lim_{x \to \infty} r(x)[/tex]

Now, we find the value of limit for given function.

[tex]\lim_{x \to \infty} r(x)[/tex]

=  [tex]\lim_{x \to \infty} \frac{ax^b+8}{cx^d}[/tex]

= [tex]\lim_{x \to \infty} (\frac{ax^b}{cx^d} + \frac{8}{cx^d})[/tex]

= [tex]\lim_{x \to \infty} \frac{a}{cx^(d-b)} + \lim_{x \to \infty} \frac{8}{cx^d}[/tex]                          ...............(since d > b)

= [tex]0 + 0[/tex]

= [tex]0[/tex]

Therefore, [tex]\bold{\lim_{x \to \infty} r(x)=0}[/tex]

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Pythagorean Theorem & Irrational Numbers:Question 2
What is the length, in units, of the line segment with
endpoints at (1, 4) and (3, 7)?
Select one: answer is to the power of
13
15
137
5

Answers

Answer:

[tex]\sqrt{13}[/tex]

Step-by-step explanation:

d = √(7-4)²+(3-1)²

= √3²+2²

= √9+4

= √13

please help tysm! ;))))))))))

Answers

Answer:

7 : 1 or 7/1

.........................

7:1 :)))))))))))))))))))))))))))

3
Craig stops at a gas station to fill his tank. He must choose between full-service and self-service and between regular,
midgrade and premium gasoline. How many possible combinations are there?
A2.
B6
C4
D8

Answers

Answer:

B, 6

Step-by-step explanation:

As there are 2 service options and 3 regular options All you do is multiply them:

2×3=6

Heres a different way to show it:

FS = Full service

SS = self service

R = regular

M = Midgrade

P = Premium

FS,R FS,M FS,P

SS,R SS,M SS,P

So it's 6

Answer:

B. 6

Step-by-step explanation:

Full/self service = 2 options

regular/mid/premium = 3 options

2 x 3 = 6

extra points!!no links tho
given the function f(x)=x^2+10x+20

a.state whether the vertex represents a maximum or a minimum point for your function. explain your answer

b.rewrite f(x) in vertex form by completing the square

Answers

Answer:

             a. the  vertex represents a minimum point              b.  f(x) = (x + 5)² - 5

Step-by-step explanation:

a.

a = 1 > 0  ← that means the parabola opens up, so the vertex is minimum of the function

b.

  [tex]f(x)=x^2+10x+20\\\\f(x)=\underline{x^2+10x+25} - 25+20\\\\f(x)=(x+5)^2-5[/tex]

ITS DUE TODAY PLS HELP MEEE

Answers

Answer:

x=12

Step-by-step explanation:

10x-18+6x+6=180

16x-12=180

16x=180+12

16x=192

x=192/16

x=12

plz mark as brainliest

The mean length of 10 childrens' index finger is 6.8cm.
The mean length of 7 adults' index finger is 12.8cm.
What is the mean length (rounded to 2 DP) of these 17 people's index finger?

Answers

Answer:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

help please
For each comparison below, select the correct symbol (<,>, or =) that indicates the relationship between the first and second quantity.

Answers

Answer:

See below

Step-by-step explanation:

f(x) is quadratic function and g(x) is linear (since AP in the right column).

Find the equation of the function f(x), use the points on the graph:

f(x) = ax² + bx + c c = 5 as the y-intercept is (0, 5)a(-1)² + b(-1) + 5 = 0 ⇒ a + 5 = ba(5²) + b(5) + 5 = 0 ⇒ 25a + 5b + 5 = 0 ⇒ 25a + 5a + 25 + 5= 0 ⇒ a = -1 ⇒ b= 4

The function is:

f(x) = -x² + 4x + 5

Find the equation of g(x)

Find the slope of g(x):

m = (1 - 7)/(-1 + 4) = -2

Use (-4, 7) to find its equation:

y - 7 = -2(x + 4)y = -2x + 7 - 8y = -2x - 1See the required comparison below

The y-intercepts:

f(x) ⇒ 5, g(x) ⇒ -1-5 < - 1

Values at x = 3:

f(3) = -3² + 4(3) + 5 = 8g(3) = -2(3) - 1 = - 78 > 7

Average rate of change in the interval [2,5]:

f(x) ⇒ (0 - 9)/(5 - 2) = -3g(x) ⇒ (-11 + 5)/ (5 - 2) = -2-3 < -2

Max of function in the interval [-5, 5];

f(x) ⇒ 9, vertex of the functiong(x) ⇒ g(-5) = -2(-5) - 1 = 9, taken the least point of x as it is a decreasing function9 = 9

Answer:

Step-by-step explanation:

What grade are you in bc I did this

What is the degree of polynomial 5x³ 4x² 7x?

Answers

The degree of the polynomial [tex]5x^{3} + 4x^{2} + 7x[/tex]  is 3 , that means it is a third degree polynomial called as cubic polynomial  .

What is Degree Of Polynomial ?

The degree of the polynomial is defined as  the highest power of the polynomial expression. But, if the polynomial has multiple variables, the degree of polynomial can be found by adding the powers of the different variables  in the polynomial expression.

For Example : the degree of polynomial ⇒  [tex]9x^{2} + 7x + 2[/tex] is  2 .

The polynomial is given as : [tex]5x^{3} + 4x^{2} + 7x[/tex] , we have to find the degree ,

So , we can see that the the term having the highest power of the given polynomial is [tex]5x^{3}[/tex] , and the degree is 3 .

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What is the product of - 2 1/2 and - 3 1/3

Answers

It is 8.3333. The three is repeating.

Identify the similar triangles in the figure then find the value of X.
A. Write the similarity statement in the form of triangle~triangle.
B. What is the value of X.

Answers

Answer:

x = 8

Step-by-step explanation:

∠ B ≅ ∠ D

∠ A ≅ ∠ C

Then

Δ BAD ≅ Δ DCE ( AA postulate )

Then the ratios of corresponding sides are equal, that is

[tex]\frac{BA}{DC}[/tex] = [tex]\frac{BD}{DE}[/tex] , substitute values

[tex]\frac{x}{4}[/tex] = [tex]\frac{12}{6}[/tex] = 2 ( multiply both sides by 4 to clear the fraction )

x = 8

What is 2 polynomials called?

Answers

Binomial is the referred to the polynomial algebraic expression that has two terms.

What is Binomial?

An expression with two dissimilar terms joined by an addition or subtraction operator is called a binomial in algebra. Since there are two terms, for instance, 2xy + 7y is a binomial. According to the quantity of terms present, algebraic expressions can be divided into different types, such as monomial, binomial, trinomial, etc.

An expression in algebra with two terms is called a binomial. Alternatively stated, a binomial expression is an algebraic expression made up of two terms that are dissimilar and have constants and variables. Using mathematical operators like + (plus) and - (minus), these terms are joined. Depending on how many terms it contains, an algebraic expression is classified as a binomial, monomial, trinomial, quadrinomial, etc.

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Give three solutions of the inequality
6 - 11x < 61

Answers

Answer:

x > -5

( -5, ∞)

Step-by-step explanation:

6 - 11x < 61

Subtract 6 from both sides

-11x < 55

Divided both side by -11. When divided by a negative number the < switch to >

So, the answer is

x > -5

Or

(-5,  ∞)

Help please due in 10 minutes

Answers

Answer:

C)

hope this helped

Step-by-step explanation:

What are the solutions of the equation 9x4 minus 2x2 7 0?

Answers

The solution of the equations are x = √1 = ± 1

Now, According to the question:

The given equation is [tex]9x^4 - 2x^2 - 7 = 0[/tex]

Using the substitution rule we put [tex]x^{2}[/tex] = u .

The given equation now changes to

[tex]9u^2 - 2u - 7 = 0[/tex]--- (1)

Equation(1) is a simple quadratic equation which can be solved by factorization as follows:

[tex]9u^2 - 2u - 7 = 0[/tex]

(9u + 7)(u - 1) = 0

Therefore

9u + 7 = 0 → u = -7/9

u -1 = 0→ u = 1

Since u = [tex]x^{2}[/tex] implies

x = √-7/9 = ± i√7/9

x = √1 = ± 1

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The complete question is this:

What are the solutions of the equation [tex]9x^4 - 2x^2 - 7 = 0[/tex]? use u-substitution to solve.

Jordan missed 7 out of 13 test questions. How is this written as a ratio

Answers

Answer:

7:13

Step-by-step explanation:

Answer:

if im thinking correctly ratios can be written in 3 ways

Step-by-step explanation:

so it could be 7/13, 7 to 13, or 7:13

write 300/1,100 as a percent

Answers

Answer:

27.3%

Step-by-step explanation:

300/1100 = 0.2727

to get percentage we multiply ^^ by 100

so = 27.27% or rounded to nearest tenth = 27.3

A fish tank contains 24 L of water. Water is added to increase the volume by 12.5%. What is the new volume of water in the tank?

Answers

Answer:

27 L

Step-by-step explanation:

To find 12.5% of 24, move the decimal all the way to the left and multiply 24 by 0.125. You get 3, which is how much was added to the original volume.

24 + 3 = 27, which is the new volume.

The amount of eroded rock is measured in cubic kilometers (km3). A cubic kilometer is a cube that measures 1 km on each side. How many km3 of rock were eroded

Answers

The amount of eroded rock in cubic kilometres is 1 km3.

To calculate the amount of eroded rock in cubic kilometres, we need to find the volume of the area that has been eroded. The volume of a rectangular shape is found by multiplying the length, width, and height (or depth) together.

In this case, the area that has been eroded is 10 km long, 5 km wide, and 20 m deep. However, we need to convert the depth from meters to kilometres to match the units of the other measurements. Since 1 km = 1000 m, we can convert the depth by dividing by 1000:

20 m / 1000 = 0.02 km

Now that all of the measurements are in kilometres, we can find the volume by multiplying them together:

10 km * 5 km * 0.02 km = 1 km3

So the amount of eroded rock in cubic kilometres is 1 km3.

Complete Question:

The amount of eroded rock is measured in cubic kilometres (km3). A cubic kilometre is a cube that measures 1 km on each side. How many km3 of rock were eroded in an area that is 10 km long, 5 km wide, and 20 m deep?

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Change to vertex form
2x²16x+33

Answers

[tex]y=2x^2+16x+33\\\\y=2x^2+16x+32+1\\\\y=2(x^2+8x+16)+1\\\\y=2(x+4)^2+1\\\\or\\\\y=2x^2-16x+33\\\\y=2x^2-16x+32+1\\\\y=2(x^2-8x+16)+1\\\\y=2(x-4)^2+1[/tex]

What is the slope of a logarithmic graph?

Answers

The slope of a logarithmic graph depends on the type of logarithm used.

For a logarithmic function in the form y = log(b,x) where b is the base of the logarithm, the slope of the graph is undefined for x=0 and for x<0 because logarithmic functions are not defined in those cases.

For a natural logarithm, the slope is negative infinity at x=0 and positive for x > 0. As x increases, the slope becomes closer to zero.

For a common logarithm, the slope is negative infinity at x=0 and positive for x > 0. As x increases, the slope becomes closer to zero.

It's important to note that logarithmic functions are not linear functions, and therefore they do not have a constant slope, the slope of a logarithmic graph will change throughout the graph.

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What is the coefficient of x² in the polynomial x³ 4x² 7x 2?

Answers

The provided phrase, x3+4x2+ 7x+ â' 2 has four terms. and coefficient are 1 , 4 ,7 for the expression

What does the phrase mean?

Expressions are made up of terms. A term might be either a constant, a variable, or a combination of both.

What kind of phrase would that be?

A single letter, a single positive or negative integer, or a number of variables multiplied but never added or subtracted might be the only variable. A number is placed in front of some nouns that have variables. The number used before a sentence is called a coefficient. single-word illustrations: Three times in one phrase.

The mathematical operator + separates the four components in the equation x3+4x2+ 7x+â' 2.

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ind the general solution of the given differential equation. dr / d theta + r sec theta = cos theta
r = ___

Answers

r = (sin theta + C)^(-1) where C is an arbitrary constant of integration.

Any equation with at least one ordinary or partial derivative of an unknown function is referred to as a differential equation. Assuming that a function's rate of change with regard to x is inversely proportional to y, we may write it down as dy/dx = k/y.

r = (cos(theta) - d/d(theta) of sec(theta)) / sec(theta)

The differential equation assists us in presenting a relationship between the changing quantity with respect to the change in another variable. The derivative represents nothing more than a rate of change. Be a function with the form: y=f(x), where x is an independent variable, f is an unknown function.

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