What is the product of 4.3 x 10^2 and 2.4 x 10^5 expressed in scientific notation?
Answers
Answer: \(1.032 \times 10^8\)
You'll have 1.032 in the first box and 8 in the second box.
=====================================================
Work Shown:
\(A = 4.3 \times 10^2\\\\B = 2.4 \times 10^5\\\\A * B = (4.3 \times 10^2) * (2.4 \times 10^5)\\\\A * B = (4.3*2.4) \times (10^2*10^5)\\\\A * B = 10.32 \times 10^{2+5}\\\\A * B = (1.032 \times 10^1) \times 10^7\\\\A * B = 1.032 \times (10^1*10^7)\\\\A * B = 1.032 \times 10^{1+7}\\\\A * B = \boldsymbol{1.032 \times 10^8}\\\\\)
When expanded out, the number \(1.032 \times 10^8\) turns into \(103,200,000\) which is just a bit over 103 million.
As the steps above show, we multiply the numbers out front to get 4.3*2.4 = 10.32 which then converts to \(1.032\times10^1\). The exponential terms, when multiplied, will have the exponents add. The rule is \(a^b*a^c = a^{b+c}\)
The first number 1.032 of the answer above is between 1 and 10, excluding 10. So it's a sign that the value is in scientific notation. That's why I converted the 10.32 to \(1.032\times10^1\)
Related Questions
It costs $25 to enter an amusement park and $0.50 to ride a ride. You have $27.50. Write an equation that represents the number r of rides you can ride.
Answers
Answer:
0.50n+25=27.50
Step-by-step explanation:
you can ride 5 rides, aka n=5
Perform the stated transformation on the parent function f(x) = x2
Translate 9 units left and reflect in the x-axis
Answers
Answer:
f(x) = -1 (x-9)^2
Step-by-step explanation:
To translate left or right, you must modify the x directly. As in (x-9). If you wanted to move it up or down you would do X^2 ± n, not directly modifying the x.
as well as, you are essentially making a new "zero" through this translation to (-9,0). i'm not sure if you're at that yet though.
as for the translation over the x axis.
when y is negative(or opposite), you have translated over the x-axis.
when x is negative(or opposite), you have translated over the y-axis.
Since you are doing the exponents, then the parenthesis, and then multiplying -1 last (by pemdas) you are ensuring that f(x), the output, or y, is always opposite or negative.
The graph of f(x) is shown. Sketch the graphs of the following functions.2f(x)
Answers
To graph the function we consider the points (-3,-2), (3,0), and (5,7).
The new function will be:
\(g(x)=2f(x)\)therefore:
\(\begin{gathered} g(-3)=2f(-3)=2(-2)=-4, \\ g(3)=2f(3)=2(0)=0, \\ g(5)=2f(5)=2(7)=14. \end{gathered}\)Answer:
- Write the following numbers in WORD FORM
21.902
• 3.01
• 0.9
- 0.703
Answers
Three point zero one
Zero point nine
Zero point seven zero three
Keisha used a photo that measured 4 inches by 6 inches to make a copy that measured 8 inches by 12 inches. What is the scale factor of the dilation? Write your answer as a whole number or decimal.
Answers
Answer:
Below.
Step-by-step explanation:
So 4-6 to 8-12.
4 can be devised by 12, and so can 6.
4:8 6:12
If we flip them over we can find the dilation.
so?
8:4 12:6
Each can be divided by 2.
So the factor if dilation is 2.
Identify the factors in the expression 5(m - 1). O A. 5 and (m - 1) O B. 5 and 1 1 O C. 5 and m O D. mand 1
Answers
Answer:
A. 5 and (m - 1)Step-by-step explanation:
Given expression:
5(m - 1)It is the product of two factors, in other words it has two factors:
5 and (m - 1)Correct choice is A
Step-by-step explanation:
Given expression = 5(m - 1)
5(m - 1) = 0
So, the factors are
5 and (m - 1)
Need help on this one please and thank you
Answers
Answer:
64x64x64=262,144
Step-by-step explanation: mark as brainest plsssssssssssssss
What Pythagorean triple is made using the Pythagorean identity and the following numbers?
x = 2, y = 1
1. 3, 4, 5
2. 4, 1, 25
3. 2, 1, 2
4. 4, 1, root 5.
Answers
The Pythagorean triples here are; 3, 4, 5. Option 1
What is a Pythagorean triple?We define a Pythagorean triple as a^2+b^2 = c^2 where a, b and c are the three positive integers. Given that we can find the Pythagorean triple from; (x2 - y2)2 + (2xy)2 = (x2 + y2)2
Where; x = 2, y = 1
Substituting values have;
(2^2 - 1^2)^2 + (2*2*1)^2 = (2^2 + 1^2)^2
This results to;
3^2 + 4^2 = 5^2
9 + 16 = 25
25=25
Therefore the Pythagorean triples here are; 3, 4, 5. Option 1
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PLS HELP ASAP!!!!........
Answers
Answer:
aaaaha pues
Step-by-step explanation:
Answer:
what happened
Step-by-step explanation:
52. Find a vector v whose magnitude is 3 and whose component in the i direction is equal to the component in the j direction.
Answers
The vector whose magnitude is 3 and whose components I. the I and j direction are equal is; <3√2/2i, 3√2/2j>.
Which vector is as described in the task content above?It follows that the magnitude of a vector in terms of its components in the i and j direction is;
M = √(x² + y²).
On this note, since the i and j components are equal; x = y and hence, we have;
3 = √(x² + x²).
3² = 2x²
x² = 9/2
x = 3/√2
x = 3√2/2
On this note, the required vector which is as described is; <3√2/2i, 3√2/2j>.
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Rick earned $24 for each car he washed. This month he washed 15 cars. He spent $85 of the money he earned this washing cars and saved the red of the money. How much money did Rick save from the he earned washing cars this month?
Answers
Answer:
$275
Step-by-step explanation:
If you multiply 24 by 15 you get the total which is $360. When you subtract the $85 he spent you get $275 left over that he is saving.
Question
A card is drawn from a standard deck of 52 cards and then placed back into the deck. Find the probability that a red card is
drawn at least once by the third draw. Round your answer to two decimal places.
Provide your answer below:
Answers
The probability that a red card is drawn at least once by the third draw is 0.88.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Let, a card is drawn from a standard deck of 52 cards and then placed back into the deck.
In a standard 52 card deck the red cards are 26.
So,
P(red) = n(red cards) / n(total cards)
= 26 / 52
P(red) = 0.50
Now, X ≈ Bin (n = 3, P = 0.50)
P(X = x) = (n x) p^x (1 - p)^n-x
(n x) = \(\frac{n!}{x!(n-x)!}\)
P(X ≥ 1) = 1 - P(X < 1)
= 1 - P(X = 0)
= 1- (3 0)(0.5)^0(0.5)^3
= 1 - 0.125
= 0.875
P(X ≥ 1) = 0.88
Hence, the probability that a red card is drawn at least once by the third draw is 0.88.
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Evaluate the given integral by changing to polar coordinates. yex dA, where R is the region in the first quadrant enclosed by the circle x2 y2 = 64
Answers
After evaluating the given integral by changing to polar coordinates we get \(7 e^8-31\)
As per the details shared in the above question it is given that,
\($x^2+y^2=64$\)
\((x, y)=r(\cos \theta, \sin \theta)\)
\(d A=r d r d \theta.\)
Further solving above we get,
\(r^2=64 \\\Rightarrow & r=8 . \\0 \leq r \leq 8 ; & 0 \leq \theta \leq \pi / 2\)
The polar coordinate,
\(\iint_{R} y e^x d A=\int_0^{\frac{\pi}{2}} \int_0^8 r^2 \sin \theta e^{r \cos \theta} d r d \theta\)
\(& =\int_0^8 \int_0^{\frac{\pi}{2}} r^2 \sin \theta e^{r \cos \theta} d \theta ; \\& =\int_0^8\left[-r e^{r \cos \theta}\right]_0^{\pi / 2} d r\)
\(=\int_0^8 r\left[-e^{r \cos \left(\frac{\pi}{2}\right)}+e^\alpha\right] d r .\)
\(=\int_0^8 r e^r d r-\left.\frac{r^2}{2}\right|_0 ^8\)
Now substituting the value we get,
\(7 e^8-31\)
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Note the correct question should be ,
Evaluate the given integral by changing to polar coordinates.
\(\iint_R y e^x d A\) , where R is the region in the first quadrant enclosed by the circle \(x^2+y^2=64\).
What is the minimum value of the pararbola? I put (-2, -4) and it said that it was incorrect
Answers
The minimum value is the x and y coordinate of the vertex of the parabola. Looking at the vertex of the graph downwards,
the value of x is - 2 while the value of y is - 4
Thus, the minimum value is (- 2, - 4)
Can someone plz help me on this
Answers
C
Step-by-step explanation:
I know it's not B because it has the most explanation and C is the only answer that dosnt relate
825 use each digit once. make the smallest 3digit number
Answers
Step-by-step explanation:
Given: To make smallest 3-digit number of 825.
To find: The smallest 3-digit number of 825.
Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...
Final answer: The smallest 3-digit number of 825 is 258.
hope it helps
Answer:
258
Step-by-step explanation:
We are given 3 numbers:
8 2 5
And we are asked to find the smallest 3 digit number using those 3 digits above.
To make the smallest number, place the numbers in value from least to greatest:
2 5 8
This is your 3 digit number: 258.
Hope this helps! :)
2. A recipe calls for 2 cups of flour and cup of baking soda. If you are
going to adjust the recipe to include 1 cup of baking soda, how much flour
will you need?
Answers
Since you wanna double the baking soda to 2 cups instead of one you gotta also double the flour so it's 4!
Determine all minors and cofactors of the matrix A given below (5)
2 −1 1 3
0 1 1 3
2 1 1 0
2 0 −1 −2
Answers
A minor of a matrix A is the determinant of some smaller square matrix, cut down from A by removing one or more of its rows and columns.
E.g the minor for a_11 is the matrix
1 1 3
1 1 0
0 -1 -2
The cofactor of an element is the minor but a factor, with that factor being (-1)^(i+j) where i and j are the row and column of the element
Determine that the value x=9 of the following expiration given x2+3x-5
Answers
Step-by-step explanation:
To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:
9^2 + 3(9) - 5 = 81 + 27 - 5 = 103
Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.
rate my answer, please.
N
m
4
5
4
U
-
3-
Cu v
-5-4-3-2-1
2
-2
1 w
60
r
2345x
What is the domain of the function on the graph?
O all real numbers
O all real numbers greater than or equal to-2
O all real numbers greater than or equal to-5
O all real numbers greater than or equal to 0
Help please
Answers
Answer:
Step-by-step explanation:
Question
N
m
4
5
4
U
-
3-
Cu v
-5-4-3-2-1
2
-2
1 w
60
r
2345x
What is the domain of the function on the graph?
O all real numbers
O all real numbers greater than or equal to-2
O all real numbers greater than or equal to-5
O all real numbers greater than or equal to 0
Help please
Use the graph below to identify the key characteristics.
This graph represents exponential (growth or decay) .
The y-intercept, written as a coordinate point, is
The horizontal asymptote is
**For domain and range, please use "inf" for infinity**
The domain is
The range is
Answers
The characteristics of the function graphed are given as follows:
The graph represents exponential growth.The y-intercept, written as a coordinate point, is (0,2).The horizontal asymptote is y = 2.The domain is: (-Inf, Inf).The range is: (2, Inf).How to obtain the characteristics of the function?As the function is increasing, the graph represents exponential growth.
The y-intercept is the value of y at which the graph crosses the y-axis, hence:
y = 2, point (0,2).
Which is also the horizontal asymptote, as it is the lowest value assumed by the function.
The domain and range are given as follows:
Domain: (-Inf, Inf), as the function is defined for all real values.Range: (2, Inf) -> values of y.More can be learned about functions at https://brainly.com/question/24808124
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what do i fill out in empty space :/?
Answers
Step-by-step explanation:
It is a ratio so it will be
3:2
1: .67
6.7 divided by 335.335
Answers
Answer:
0.01998001998
Answer:
0.01998001998
Step-by-step explanation:
Lots of math but if its 355.335 divided by 6.7 its 53.0350746269
The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Give the exponential models for those that are. G(x)=?F(x)=?
Answers
Hello
to calculate the exponential value of the functions, simply calculate the exponential value of (x)
\(\begin{gathered} \text{when x = -2} \\ f(x)=e^{-2}=0.135 \\ g(x)=e^{-2}=0.135 \end{gathered}\)\(\begin{gathered} \text{when x = -1} \\ f(x)=e^{-1}=0.3678 \\ g(x)=e^{-1}=0.3678 \end{gathered}\)\(\begin{gathered} \text{when x = 0} \\ f(x)=e^0=1 \\ g(x)=e^0=1 \end{gathered}\)when x = 1
\(\begin{gathered} \text{when x = 1} \\ f(x)=e^1=2.7183 \\ g(x)=e^1=2.7183 \end{gathered}\)when x = 2
\(\begin{gathered} \text{when x = 2} \\ f(x)=e^2=7.389 \\ g(x)=e^2=7.389 \end{gathered}\)from the calculations above, none of the function is exponential
Please help and show work
Answers
Answer:
5.25
Step-by-step explanation:
not much to show, go 3 topping across then up to see the price
Does the graph represent a function? Why or why not ?
Answers
Answer:
A.
Step-by-step explanation:
The vertical line test is a way of finding out if a relation is a function.
Graph the relation.
Then imagine a vertical line moving from left to right over the graph of the relation.
If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.
This function passes the vertical test since it never intersects more than one point on the vertical line at a time.
Answer: A.
Two hundred eighty-two people attended a recent performance of Cinderella. Adult tickets sold for $5 and children’s tickets sold for $3 each. Find the number of adults and the number of children that attended the play if the total revenue was $1046.
Part A: Write a system of equations in standard form (Ax + By = C) that can be solved to find the number of adults and children who attended the performance. Define the variables used in the equations. (4 points)
Part B: How many adults attended the performance? How many children attended the performance? Show your work and steps of how you found your answer using elimination.
Answers
A. A system of equations in standard form that can be solved to find the number of adults and children who attended the performance is:
x + y = 282
3x + 5y = 1046
B. The number of adults who attended the performance is 182 adults.
The number of children who attended the performance is 100 children.
How to determine the number of each type of tickets sold?In order to write a system of linear equations to describe this situation, we would assign variables to the number of adult tickets sold and number of children tickets sold, and then translate the word problem into an algebraic equation as follows:
Let the variable x represent the number of adult tickets sold.Let the variable y represent the number of children tickets sold.Since 282 people attended the recent performance by Cinderella, a linear equation that models the situation is given by:
x + y = 282 ....equation 1.
Additionally, adult tickets sold for $5 while children tickets sold for $3 each with a total revenue was $1046, a linear equation that models the situation is given by:
3x + 5y = 1046 .......equation 2.
Part B.
By multiplying equation 1 by 3, we have:
3x + 3y = 846 .......equation 3.
By subtracting equation 3 from equation 2, we have:
2y = 200
y = 100 children.
For the x-value, we have:
x = 282 - y
x = 282 - 100
x = 182 adults.
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What is the solution set?
Answers
Answer: x = 1 so 1/2 - 4/1 + 8 = 0n
Step-by-step explanation:
Answer:
- 1.45
Step-by-step explanation:
z varies jointly with x and y. If x = 2, y = 3, and z = 4, write the variation equation and find z when x = −6 and y = 2.
Answers
Step-by-step explanation:
that means
z = k×x×y
4 = k×2×3 = k×6
k = 4/6 = 2/3
so, when x = -6 and y = 2, we get
z = 2/3 × -6 × 2 = 2 × -2 × 2 = -8
f(x)= -8x
Find the value of x so that
f(x) = 40
Answers
Answer:
x=-5
Step-by-step explanation:
f(x)=-8x
f(x)=40
substitute f(x) with 40 in the first equation
40=-8x
s=-5 (slove)