To write 300000000 in standard form, we need to move the decimal point to the left or right so that there is only one non-zero digit to the left of the decimal point.
300000000 in standard form would be written as 3 x 10^8.
To arrive at this form, we move the decimal point 8 places to the left (since there are 8 zeros in 300000000) and add the power of 10 notation, indicating that we moved the decimal point 8 places to the left. The number 3 is the coefficient and 8 is the exponent. This way, we get 3 x 10^8 which is the standard form of 300000000.
Standard form, also known as scientific notation, is a way of expressing a number in a compact and efficient manner. It is typically used for very large or very small numbers.
When a number is written in standard form, the decimal point is moved so that there is only one non-zero digit to the left of the decimal point. The number of places the decimal point is moved is indicated by a power of 10.
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What is the y-intercept of Y 10x 9?.
The y-intercept is (0,9)
The y-intercept of a linear equation in the form of y = mx + b is represented by the constant term, b. In this case, the y-intercept is 9. This means that the line represented by this equation crosses the y-axis at the point (0, 9).
To find the y-intercept, we can substitute x = 0 into the equation, y = 10x + 9 and we get:
y = 10(0) + 9
y = 9
So the y-intercept is (0,9)
A linear equation is an equation that can be written in the form of y = mx + b, where m is the slope (or rate of change) and b is the y-intercept (the point where the line crosses the y-axis).
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I need this answered NOW!!!!
10 POINTS!!!!
Answer: y = −1/2x + 2 is the answer to the slope-intercept form of the graph.
Step-by-step explanation:
I hope this helps!!
Evaluate the following expreion when a = 5 and b = 1. Then, plot the reulting value on the provided number line
The solution of the expression 12 + [2 - (4 × a²)] ÷ 7 + b with the given values of a and b (using BODMAS) is -1 .
Given,
Equation is : 12 + [2 - (4 × a²)] ÷ 7 + b
Values of a and b are; 5 and 1 respectively
Substitute the values of a and b into the equation
12 + [2 - (4 × 5²)] ÷ 7 + 1
Using BODMAS :
solve the expression that is in the bracket first :
⇒ 12 + [2 - 100] ÷ 7 + 1
⇒ 12 + [-98] ÷ 7 + 1
Solve the division next :
⇒ 12 - 14 + 1
Solve the addition next :
⇒ 13 - 14
Solve the subtraction next :
⇒ -1
Therefore, the solution of the expression with the given values of a and b is - 1
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What is the least common multiple of 7, 3, and 4?
What are the 7 different types of angles?.
Answer:
Zero Angle (0° in Measure), Acute Angle (0 to 90° in Measure), Right Angle (90° in Measure), Obtuse Angle (90 to 180° in Measure), Straight Angle (180° in Measure), Reflex Angle (180 to 360° in Measure), and Complete Angle (360° in Measure)
Step-by-step explanation:
18.4x - 2.1y +9.6 - (-1.2x) + 3.4
19.6x -2.1y + 13 is a simplified form of the 18.4x - 2.1y +9.6 - (-1.2x) + 3.4 equation.
What is simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
Given expression 18.4x - 2.1y +9.6 - (-1.2x) + 3.4
Simplifying using PEMDAS
=> 18.4x - 2.1y +9.6 - (-1.2x) + 3.4
First, we will open the bracket
=> 18.4x - 2.1y +9.6 + 1.2x + 3.4
Calculating the like terms
=> 19.6x -2.1y + 13
Therefore, a simplified form of the given equation is 19.6x -2.1y + 13.
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How do you fully simplify polynomials?.
To simplify a polynomial, we have to do two things:
1) combine like terms, and
2) rearrange the terms so that they're written in descending order of exponent.
In order to combine like terms, we must first determine which terms can be added to or subtracted from one another. The same variable (with the same exponent) is always associated with like expressions. For instance, adding one "x-squared" to two "x-squareds" results in three "x-squareds," but adding one "x-squared" to a "x" is impossible because the two words are unrelated.
An algebraic expression that displays the sum of monomials is called a polynomial. Since "mono" signifies "one" in the prefix, a monomial is a singular element or phrase. 'Poly' is a prefix that means'many. Thus, an expression that has numerous terms is said to be polynomial. The relationships between the terms may be sums or differences.
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9 A teapoon of ugar ha a ma of 4. 2 gram. (a) Write down the ma of thi ugar in milligram
So, the mass of a teaspoon of sugar in milligrams is 4200 milligrams.
A teaspoon of sugar has a mass of 4.2 grams. To convert this mass to milligrams, we can use the conversion factor of 1 gram = 1000 milligrams. This means that for every gram, there are 1000 milligrams. To convert a value in grams to milligrams, we simply multiply the value in grams by 1000.
So to convert the mass of 4.2 grams to milligrams, we can use the following calculation:
4.2 grams * 1000 milligrams/gram = 4200 milligrams
Therefore, the mass of a teaspoon of sugar in milligrams is 4200 milligrams. This is because 4.2 grams is equivalent to 4200 milligrams. The conversion factor of 1 gram = 1000 milligrams is used to convert the value of 4.2 grams to 4200 milligrams.
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Simplify: 3(6b+ 2 + 2a + 8)
Answer:4682.830393
Step-by-step explanation:
a shortcut method of dividing a polynomial by a linear polynomial by using only the coefficients of the terms of the polynomial is called ___.
The shortcut method of dividing a polynomial by a linear polynomial by using only the coefficients of the terms of the polynomial is called synthetic division.
Synthetic division is a simplified method of dividing a polynomial by a linear polynomial. It is used to divide a polynomial by a linear polynomial that is of the form x-c, where c is a constant. The synthetic division method is based on dividing the polynomial by the linear polynomial by using the coefficients of the terms of the polynomial.
The quotient and the remainder of the division are obtained by performing a few simple arithmetic operations. It is a quick and efficient way to divide polynomials and is particularly useful when dividing polynomials with large degrees
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Name the polynomial by its degree and number of terms 4x^5+2x^4+7
Answer:5
Step-by-step explanation:
Vega wants to prove that the segment joining midpoints of two sides of a triangle is half the length of the third side. Select the appropriate rephrased statement for Vega's proof.
Here are the answer choices:
Let P and Q represent the intersections of two triangle sides. Consequently, the third side's length is divided in half by the length of the section that connects P and Q.
Vega is attempting to prove that the segment joining the midpoints of two sides of a triangle is equal to half the length of the third side. To do this, she must first identify the two midpoints of any given triangle. Let P and Q be the midpoints of two sides of the triangle. She must then demonstrate that the segment connecting P and Q is equal to half the length of the third side. To do this, Vega must calculate the distance between P and Q and then compare it to the length of the third side. If the two measurements are equal, then Vega will have proven her point. This statement can be rephrased as "the length of the segment connecting P and Q is equal to half the length of the third side."
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-12 + 3m= m - 2
thanku
[tex] - 12 + 3m = m - 2[/tex]
[tex]3m - m = - 2 + 12[/tex]
[tex]2m = 10[/tex]
[tex]m = \frac{10}{2} \\ [/tex]
answer: [tex]m = 5[/tex]
How do I solve 2x 3y 16?.
The equation 2x + 3y = 16 has infinitely many solutions.
We know that a linear equation in two variables is of the form ax + by + c = 0, where a, b, c are non-zero real numbers.
Here we have been given a linear equation in two variables 2x + 3y = 16
We solve this equation for x,
Consider 2x + 3y = 16
2x + 3y - 3y = 16 - 3y .........(subtract 3y from each side of equation)
2x/2 = (16 - 3y)/2 .........(divide each side by 2)
x = (16 - 3y)/2
for any real value of y we can find value of x.
This means, an equation 2x + 3y = 16 has infintely many solutions.
For x = 0,
2(0) + 3y = 16
y = 16/3
y = 5.333
This means, the y-intercept of line 2x + 3y = 16 is (0, 5.333)
For y = 0 ,
2x + 3(0) = 16
x = 16/2
x = 8
This means, the x-intercept of line 2x + 3y = 16 is (8, 0)
The graph of 2x + 3y = 16 is shown below.
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The complete question is:
How many solutions does the equation 2x + 3y = 16 have?.
Steven has a rope that is 6 ft long. He cuts it into 9 pieces, as shown in the model.
The model shows that there are 9 pieces that are each 2/3 ft long.
Which division equation represents the situation?
The (arithmetic operation)division equation at B (6/(2/3)=9) represent the situation.
What are arithmetic operations?
Arithmetic operations is a branch of mathematics, that involves the study of numbers, operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication and Division.
These basic mathematical operations (+, -, ×, and ÷) we use in our everyday life. Whether we need to calculate the annual budget or distribute something equally to a number of people, for every such aspect of our life, we use arithmetic operations.
The four basic arithmetic operations in Maths, for all real numbers, are:
Addition (Finding the Sum; ‘+’)
Subtraction (Finding the difference; ‘-’)
Multiplication (Finding the product; ‘×’ )
Division (Finding the quotient; ‘÷’)
As
Model having length 6 feet is divided into 9 pieces.
Therefore,
6/9=2/3
hence,
6/(2/3)=9
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please help with thus
Is an isosceles triangle always 90 degrees?.
No, an isosceles triangle is not always 90 degrees
Two of a triangle's sides must be the same length for the triangle to be considered isosceles. The third side, which is not equally long as the first two, is referred to as the base. The angle at the vertex opposite to the base is obtuse, acute, or right angle and the angles at the vertex opposite to the base are congruent.
Not all angles in an isosceles triangle are 90 degrees. A triangle with equal-length sides is called an isosceles triangle, although the angles at the vertex opposite the equal sides might be of any degree. The isosceles right triangle, the golden triangle, the faces of bipyramids, and some Catalan solids are all examples of isosceles triangles.
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Last week Rachel used 42. 5 pounds of sugar in her bakery. This week she used 26 pounds of sugar. What is the percent change of the amount of sugar used?
The percentage change in the amount of sugar used is 38.8%
Sugar used the previous week = 42. 5 pounds
Sugar used this week = 26 pounds
Calculating the difference between two amounts of sugar -
Sugar used the previous week - Sugar used this week
= 42.5 - 26
= 16.5 pounds.
To calculate the change in percentage, the differential amount is to be multiplied by 100 to express the result as a percentage, which is required to determine the percent change in the amount of sugar utilised.
Calculating the per cent change -
Differential sugar amount / Sugar used in previous week x 100
= 16.5 / 42.5 x 100
= 38.8%.
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Each pair of figures below is similar. Find the lengths of the unknown sides that are marked with a variable
The lengths of the unknown sides that are marked with a variable are;
a. x = 24
y = 10
b. x = 5
Properties of similar triangles.When on comparing the corresponding sides of two or more triangles, they are said to be similar if they have some common properties.
To find the lengths of the unknown sides that are marked with a variable, we have;
a. To determine the value of y,
21/ y = 15/ 21
cross multiply to have
15y = 21 * 21
= 441
y = 441/ 15
= 29.4
y = 24
ii. To determine the value of x,
25/ (25 + x) = 15/ 21
cross multiply
15(25 + x) = 25 * 21
375 + 15x = 525
15x = 525 - 375
= 150
x = 150/ 15
x = 10
b. 5/ 6 = 4.2/ x
6*4.2 = 5x
25.2 = 5x
x = 25.2/ 5
= 5.04
x = 5.0
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the sum of two numbers is 157. the difference between the two numbers is 5. what are the two numbers.
hope it helps you
Step-by-step explanation:
hope it helped you
What is sublimation class 9?.
Sublimation is the straight transition from a solid state of materials to a vapor state upon heating (without becoming liquid).
When a substance changes from one state to another, as as from a solid to a gas, this transition, transformation, or conversion is referred to as sublimation.
Sublimation is the procedure through which a material is converted from its solid to gaseous phase without moving to its liquid form. At a temperature and pressure below the substance's triple point, this process, an endothermic phase transition, takes place. The opposite of this process, in which a gas is transformed straight into a solid state, is desublimation or deposition.
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What expression is equivalent to the given expression?
Consider this expression.
-3x^2 - 24x - 36
__(x + __)(x + __)
A. 3
B. -3
A1. 2
B1. -2
C1. -4
D1. 4
A2. 6
B2. 9
C2. -9
D2. -6
Answer: A. -3
A1. -2
A2. -6
Step-by-step explanation:
The expression -3x^2 - 24x - 36 can be factored into the form (ax + b)(cx + d) by using the technique of grouping or by using the factoring by grouping method.
The factored form of -3x^2 - 24x - 36 is
( -3x - 6)( x + 6)
So the answer is:
A. -3
A1. -2
A2. -6
Can someone please help me with this math problem? The math problem is in the picture, Thanks!
Domain:
Range:
Answer:
Domain is [-1, 3]
Range is [1, 2]
================================
Explanation:
The domain is the set of allowed input values. It's the set of all possible x coordinates of the points shown.
The left-most point is when x = -1, while the right-most point is at x = 3.
We can say [tex]-1 \le \text{x} \le 3[/tex] meaning x is between -1 and 3, including both endpoints.
That compound inequality translates to the interval notation [-1, 3]
Square brackets are used to include the endpoints.
-----------------
The range handles the set of possible y outputs.
The lowest we can go on the graph is y = 1, and the highest is y = 2
Therefore we arrive at [tex]1 \le \text{y} \le 2[/tex] which translates to [1, 2]
A eed company a floral moaic of a national flag. The perimeter of the flag i 2,080ft determine the flag’ width and length , if the length i 400 ft greater than the width
The width of the flag is 640 ft and the length is 1040 ft
To calculate this we can take the width of the flag can be represented as "w" and the length as "l".
From the information given, we know:
l = w + 400 (because the length is 400 ft greater than the width)
2 * (w + l) = 2080 (because the perimeter is 2,080 ft)
We can substitute the first equation into the second equation to get:
2 * (w + w + 400) = 2080
2w + 800 = 2080
2w = 1280
w = 640
Therefore, the width of the flag is 640 ft and the length is 1040 ft (since l = w + 400)
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A small business has one team that installs new swimming pools and four employees that clean and maintain pools. Which of
the following is a service that is provided by this business to its customers? (1 point)
O the employees who clean and maintain pools
O the new swimming pools
O the team that installs the new pools
O pool cleaning
Answer:
the correct answer would be "the team that installs the new pools" and "the employees who clean and maintain pools" are services provided by this business to its customers, as they are actively performing tasks for the customer related to swimming pools.
O pool cleaning is a service that is provided by this business to its customers.
The correct option is C. The team that installs the new pools.
What is the business to the customer?Business-to-consumer (B2C) refers to the process of selling goods and services directly between an organization and the customers who will ultimately use them. The majority of businesses that sell directly to customers are referred to as B2C businesses.
The correct answer would be "the team that installs the new pools" and "the employees who clean and maintain pools" are services provided by this business to its customers, as they are actively performing tasks for the customer related to swimming pools. Pool cleaning is a service that is provided by this business to its customers.
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Can you follow this and give me the answers for the missing numbers?
Answer:
+ (5x + 9y = -5)
Step-by-step explanation:
+ (2x + 5y = -9)
+ ( 3x + 4y = 4)
+ (5x + 9y = -5)
Find the missing side length.
Answer: 8 yd
Step-by-step explanation:
12 - 4 = 8
u can see that the side below the side x is "side x + 4" so if we substract 12-4 we get 8
question 7...help please yall
answer
Step-by-step explanation:
they two are in a straight line so
it can be added
or, 3x+2+6x-20=180[straight angle]
or, 9x-18=180
or, 9x=180+18
or, 9x=198
or, x=198÷9
or, x=22
the value of x is 22
How do you find the range of a Class 7 maths?.
The range of a number collection in mathematics is the difference between its highest and lowest values.
By dividing the greatest number by the lowest value, the range is computed. The difference between a group of numbers' highest and lowest values is regarded as the range.
Subtract the distribution's lowest number from its greatest number to calculate it. The function's range is the resolution. f(x) is [0,∞] and its domain f(x)=|x-1| is R.
The space between the greatest and smallest data points in a set of numerical information is termed the range. The average of the greatest and smallest data points is intermediate.
The minimum value from the maximum value from the supplied set of observations must always be subtracted in order to establish the range. The range between the maximum and least frequencies is regarded as the range.
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Which equations are equivalent to Negative one-fourth (x) + three-fourths = 12 Select all that apply. (StartFraction negative 4 x over 1 EndFraction + three-fourths = 12 Negative 1 (StartFraction x over 4 EndFraction) + three-fourths = 12 StartFraction negative x + 3 over 4 EndFraction = 12 One-fourth (x + 3) = 12 (StartFraction negative x over 4 EndFraction + three-fourths = 12
The equation that is equivalent is
-x/4 + 3/4 = 12
Option D is the correct a nswer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
The equation for Negative one-fourth (x) + three-fourths = 12 is,
(-1/4)x + (3/4) = 12 _____(1)
Now,
-4x + 3/4 = 12
This is not equivalent to (1).
-1(x/4) + 3/4 = 12
This is not equivalent to (1).
-x + 3/4 = 12
This is not equivalent to (1).
1/4 (x + 3) = 12
(1/4)x + 3/4 = 12
This is not equivalent to (1).
-x/4 + 3/4 = 12
This is equivalent to (1).
Thus,
The equation that is equivalent is
-x/4 + 3/4 = 12
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