Solve each problem and write your answer in scientific notation. (6.0x10^5)x(3.0x10^4)
The simplified form of the given expression is [tex]1.8\times10^{10}[/tex].
The given expression is [tex](6.0\times10^5)\times(3.0\times10^4)[/tex].
We need to solve the given expression and write the answer in scientific notation.
What is a scientific notation?The scientific notation helps us to represent the numbers that are very huge or very tiny in a form of multiplication of single-digit numbers and 10 raised to the power of the respective exponent. The exponent is positive if the number is very large and it is negative if the number is very small.
Now, [tex](6.0\times10^5)\times(3.0\times10^4)=18\times10^5\times10^4[/tex]
[tex]=18\times10^{5+4}[/tex]
[tex]=18\times10^9[/tex]
[tex]=1.8\times10^{10}[/tex]
Therefore, the simplified form of the given expression is [tex]1.8\times10^{10}[/tex].
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What is the value of the discriminate of the quadratic equation -1=5x^2-2x
The coordinates of the vertices of a polygon are (−5, 1) , (−1, 3) , (2, 3) , (2, −2) , and (−3, −1) .
What is the perimeter of the polygon?
Enter your answer as a decimal, rounded to the nearest tenth of a unit, in the box.
Eddie is reading a novel for English class he has read 173 out of 480 pages about what percent of the book has he read
Answer: The percent of the book has he read is 36.04 %.
Step-by-step explanation:
Given: The number of pages read by Eddie= 173
The total number of pages = 480
The percent of the book has he read is given by:_
[tex]P=\frac{\text{number of pages read}}{\text{total pages}}\times100\\\\\Rightarrow\ P=\frac{173}{480}\\\\\Rightarrow\ P=0.36041\times100\\\\\Rightarrow\ P=36.04\%[/tex]
Hence, the percent of the book has he read is 36.04 %.
if three times x is equal to x decreased by 2, then x is
it cost $526.30 to repaire Carol's car. rounded to the nearest ten dollars, how much did carol pay?
A. $500
B. $520
C. $530
D. $550
Express 3/4th in seconds.
30"
45"
50"
Answer:
45''
Step-by-step explanation:
How would I solve -5 over -6 divided by -2 over 4
Help me please thanks
The perimeter of a pool table is 30 ft. The table is twice as long as it is wide. What is the length of the pool table
Ten seconds after a plane in an air-show dives, it is 200 feet from where it began. After 30 seconds, it is 600 feet from where it began. At what rate is the plane diving?
x+y=20 3x-3y=30 Which values of x and y satisfy this system of equations?
x +y = 20 ( rewrite as x = 20-y)
3x - 3y =30
3(20-y) - 3y = 30
60-3y - 3y = 30
60-6y = 30
-6y = -30
y = -30 / -6 = 5
x=20-5 = 15
x = 15, y = 5
what is the x intercept of the line 6x-3y=24
Can someone give me the steps to solving this equation? 3^x = 81
Name a pair of adjacent complementary angles
In geometry, complementary angles are two angles whose measures add up to 90 degrees. A pair of adjacent complementary angles could be 30 degrees and 60 degrees.
Explanation:In geometry, complementary angles are two angles whose measures add up to 90 degrees. For example, if one angle measures 30 degrees, the other angle measures 60 degrees because 30 + 60 = 90. So, a pair of adjacent complementary angles could be 30 degrees and 60 degrees.
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What is the square root of the fraction 25/100?
If an exterior angle of a regular polygon is 21.2° how many sides does the polygon have?
Triangle MNP is the image of triangle JKL after a 120 degrees counterclockwise rotation about point Q. If the measure of angle L is 47 degrees and the measure of angle N is 57 degrees, determine the measure of angle M. Explain how you arrived at your answer.
The measure of angle M in triangle MNP is 76 degrees. This is determined by utilizing the sum of interior angles property of triangles and understanding the correspondence of angles in rotated or transformed figures.
Explanation:The problem given is associated with the geometry of triangles. From the problem statement, we know that triangle MNP is the image of triangle JKL after 120 degrees counterclockwise rotation. This indicates that the angles of both triangles are the same. Hence, angle M will correspond to angle J of the original triangle.
However, since we are not given the measure of angle J, we need to calculate it using the property of triangles. In triangles, the sum of the interior angles amounts to 180 degrees. Therefore, the measure of angle J can be found by subtracting the measures of the other two angles (angle K and angle L) from 180 degrees.
Given the measure of angle L is 47 degrees and the measure of angle N (which corresponds to angle K in triangle JKL) is 57 degrees, we use the equation:
Angle J = 180 - (angle K + angle L) = 180 - (57+47) = 76 degrees.
Thus, the measure of angle M in triangle MNP, which is corresponding to angle J in triangle JKL, is 76 degrees.
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There is a sales tax of $6 on an item that costs $93 before tax. A second item costs $294.50 before tax. What is the sales tax on the second item?
Answer:
its 19
Step-by-step explanation:
If a second item costs $294.50 before tax. The sales tax on the second item will be $19.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, there is a sales tax of $6 on an item that costs $93 before tax. A second item costs $294.50 before tax.
We have to apply the ratio as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
$6/$93 = t/$294.5
t = 6 × 294.5 / 93
t = $ 19
Thus, if a second item costs $294.50 before tax. The sales tax on the second item will be $19.
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I NEED HELPPPPPP WILL GIVE A BRAINLIEST TO BEST ANSWER THAT INCLUDES ALL WORK SHOWN, CORRECT ANSWER, AND EVERYTHING MAKES SENSE.
(Variables on both sides of an equation)
Solve: 18x-5=3(6x-2)
The expression −50x+100 represents the balance, in dollars, of a bank account after x months.
What is the rate of change, in dollars per month, of the bank account balance?
i got -50
Consider the function represented by the graph. What is the domain of this function
Answer: The answer is [tex]\{x:x\geq 0\}.[/tex]
Step-by-step explanation: We are given a graph that represents a function. We are to find the domain of the graphed function.
Domain and Range: If y=f(x) is a function, then the domain is the set of all first elements of ordered pairs (x-coordinates) and the range is the set of all second elements of ordered pairs (y-coordinates).
In the given graph, 'x' takes the values from 0 to infinity and 'y' takes the values from negative infinity to 9.
Therefore, domain of the function is [0, ∞) and the range is (-∞, 9).
Thus, the domain is given by the set [tex]\{x:x\geq 0\}.[/tex]
if 1 factor of 3x3+7x2-7x-3 is (x+3) what are the other two factors
To find the remaining factors of the polynomial 3x^3+7x^2-7x-3 after knowing that (x+3) is a factor, divide the polynomial by x+3 and then factor the resulting quadratic polynomial.
If x+3 is a factor of the polynomial 3x3+7x2-7x-3, the other two factors can be found by performing polynomial long division or synthetic division to divide the polynomial by x+3. Once the polynomial is divided, the quotient will be a quadratic equation, which we can then factor or use the quadratic formula to find the remaining factors.
Steps for Polynomial Division:
Divide the polynomial 3x3+7x2-7x-3 by x+3.Obtain the quotient, which should be a quadratic polynomial.Factor the quadratic polynomial or use the quadratic formula to find the other two factors of the original polynomial.What is the equation of the axis of symmetry for the function shown below? y-2=-(x+5)^2?
Answer:
-5
Step-by-step explanation:
Each week, Stephanie is paid a $180 base salary and a 3% commission on her total sales generated for the week. Which expression represents her weekly income when Stephanie generates w dollars in total sales? A180+0.03 w
B 180+0.03+w
C 180(0.03)w
D 180(0.03)+w
The expression represents her weekly income when Stephanie generates w dollars in total sales will be 180 + 0.03w. Then the correct option is A.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of 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.
Each week, Stephanie is paid a $180 base salary and a 3% commission on her total sales generated for the week.
Let 'w' be the total sales in dollars weekly. Then the expression is given as,
⇒ 180 + 0.03w
The expression represents her weekly income when Stephanie generates w dollars in total sales will be 180 + 0.03w. Then the correct option is A.
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IS Δ ABC WITH VERTICES A(-2, -5), B(-3, 2) AND C(1, -2) A RIGHT TRIANGLE?
A.) Δ ABC IS NOT A RIGHT TRIANGLE.
B.) Δ ABC IS A RIGHT TRIANGLE BECAUSE AB ⊥ AC
C.) Δ ABC IS A RIGHT TRIANGLE BECAUSE BC ⊥ AC
D.) Δ ABC IS A RIGHT TRIANGLE BECAUSE AB ⊥ BC
Answer:20
Step-by-step explanation:
Which is the property that justifies the action?
Describe which of the two points lies on the graph of the line
X-y=2
A. 6,4
B, 5,7
how do I solve
-9+8k=7+4k
Farmer Tom raises ducks and horses on his farm. All of his horses need new horseshoes. He calls the farrier (a person who puts shoes on horses) but has a difficult time remembering how many of each animal he owns. He knows that there are a total of 24 animals. The animals have a total of 62 legs (all animals have either two or four legs). How many horses does Tom own?
h+d=24
h = 24-d
4h +2d = 62
4(24-d) +2d = 62
96 -4d +2d =62
96-2d =62
-2d =-34
d =-34/ -2 = 17
17 ducks
24-17 = 7 horses