Answers
The coefficient 9.9 rounds to 10
So we go from this
(6.3 x 10^(-2))(9.9 x 10^(-3))
To this
(6 x 10^(-2))(10 x 10^(-3))
Multiply out the coefficients to get 6*10 = 60
Add the exponents to get -2 plus -3 = -5
So we end up with 60 x 10^(-5)
Be careful. This is NOT the final answer. We need to convert this to scientific notation
60 = 6*10 = 6 x 10^1
60 x 10^(-5) = ( 6 ) x 10^(-5)
60 x 10^(-5) = ( 6 x 10^1 ) x 10^(-5)
60 x 10^(-5) = 6 x (10^1 * 10^(-5)
60 x 10^(-5) = 6 x 10^(1+(-5))
60 x 10^(-5) = 6 x 10^(-4)
The final answer is choice A
Related Questions
Mrs. smith's reading class can read a mean of 175 words per minute with a standard deviation of 20 words per minute. the top 3% of the class is to receive a special award. assuming that the distribution of words read per minute are normally distributed, what is the minimum number of words per minute a student would have to read in order to get the award?
Answers
From a normal curve table, the z-score that corresponds to 47% from the value to the mean is a z-score of 1.88. Since the z-score represents the number of standard deviations, the value we are looking for is 175 words + (20 * 1.88) = 175 + 37.6 = 212.6.
Your entry into the Final Exam Shell should be 213.
If Mrs. smith's reading class can read a mean of 175 words per minute with a standard deviation of 20 words per minute. The top 3% of the class is to receive a special award. The minimum number of words per minute a student would have to read in order to get the award will be: 213 words per minute
Using this formula
Minimum number of words =(z score× standard deviation) + means
Where:
z score=(100%-3%=97%)
z score= 97%=1.881
Standard deviation=175
Mean=20
Let plug in the formula
Minimum number of words =(1.881×20) + 175
Minimum number of words =37.62+175
Minimum number of words =212.62
Minimum number of words =213 (Approximately)
Inconclusion if Mrs. smith's reading class can read a mean of 175 words per minute with a standard deviation of 20 words per minute. The top 3% of the class is to receive a special award. The minimum number of words per minute a student would have to read in order to get the award will be: 213 words per minute
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How many like terms are in the expression? 14x-14y+7-x+z+2x
Answers
The number of like terms in the given expression are:
3
( 14x , -x and 2x)
Step-by-step explanation:Like terms--
The like terms are the terms which have the same variables with the same power.The coefficients of such terms may vary.
The expression is given by:
14x-14y+7-x+z+2x
There are total 6 terms in given expression.
The number of terms with variable x are: 3 i.e. 14x , -x and 2x
The number of terms with the variable y is: 1 i.e. -14y
The number of terms with variable z is: 1 i.e. z
and the number of constant term is: 1 i.e. 7
Hence, the number of like terms are: 3
The total amount Toni spent on shirts is $64. If you rewrite 64 using 2 as the base, what would be the exponent?
Answers
2x2=4x2=8x2=16x2=32x2=64
To rewrite 64 using 2 as the base, the exponent is 6.
Explanation:To rewrite 64 using 2 as the base, we need to find the exponent that represents the power of 2 that equals 64. In other words, we need to solve the equation 2 to the power of x equals 64. We can do this by finding the logarithm with base 2 of 64. Using a calculator, we find that log base 2 of 64 is 6. Therefore, the exponent is 6.
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Line g has a slope of -4/7. Which of the following equations represents a line that is perpendicular to line g?
A) Y= -7/4x
B) Y= -4/7x
C) Y= 4/7x
D) Y= 7/4x
Answers
The equation that represents a line perpendicular to line g is Y= 7/4x (option D).
Explanation:A line that is perpendicular to line g will have a slope that is the negative reciprocal of -4/7. The negative reciprocal of a slope is found by flipping the fraction and changing the sign. The negative reciprocal of -4/7 is 7/4. Therefore, the equation that represents a line perpendicular to line g is Y= 7/4x (option D).
Perform the indicated operations. x+1/3y+x-2/4y-x=3/6y
Answers
The student's question seems to be about algebraic operations with an unclear equation, but the provided example with y = 9 + 3x demonstrates how to create a table and graph of a linear equation with a slope of 3 and y-intercept of 9.
Explanation:The student's question involves performing the indicated operations with algebraic expressions that include variables and fractions. The expressions mentioned resemble an equation that could potentially be simplified or solved, but the question as written contains typos and lacks clear structure. Consequently, to provide an accurate answer, we would need the correct and complete version of the equation.
However, in similar problems, one would typically combine like terms, find a common denominator for fractions, and simplify the equation to solve for the variable. For the equation y = 9 + 3x, to create a table of values, one can choose different values of x, substitute them into the equation, and calculate the corresponding y values. Then, plotting these points on a graph would show the linear relationship represented by the equation with a slope (m) of 3 and a y-intercept (b) of 9.
((Use the graph shown below to fill in the blank.))
If (4, y) is an ordered pair of the function, then y = a0.
Answers
The answer Y=1
:) hope this helps
Which equation can be used to find one of the missing side lengths in the triangle?
Answers
Cos60 = a/12
answer is D. last one
Cos60 = a/12
Nathan is 5 years older than dan. if the total of their ages is 19, how old is dan?
Answers
is -1/17 a repeating decimal
Answers
A repeating decimal, also called a recurring decimal, is a number whose decimal representation eventually becomes periodic (i.e., the same sequence of digits repeats indefinitely). The repeating portion of a decimal expansion is conventionally denoted with a vinculum so, for example,
The minimum number of digits that repeats in such a number is known as the decimal period.
Repeating decimal notation was implemented in versions of the Wolfram Language prior to 6 as PeriodicForm[RealDigits[r]] after loading the add-on package NumberTheory`ContinuedFractions`.
All rational numbers have either finite decimal expansions (i.e., are regular numbers; e.g., ) or repeating decimals (e.g., ). However, irrational numbers, such as neither terminate nor become periodic.
Numbers such as 0.5 are sometimes regarded as repeating decimals since.
A jacket cost 54 the price was reduced by 20% off what is the sale price
Answers
4320/100 = 43.20
The answer will be $43.20
Hope I helped :)
Are these answers correct? If not, what would the answers be?
Answers
For anyone curious,
rd = removable discontinuity
id = infinite discontinuity
c = continuous
30 POINTS!! WILL VOTE BRAINIEST
The table shows a linear function
(a) Determine the difference of outputs of any two inputs that are 1 unit apart. Show your work.
(b) Determine the difference of outputs of any two inputs that are 2 units apart. Show your work.
(c) Determine the difference of outputs of any two inputs that are 3 units apart. Show your work.
(d) What do you notice about the ratios of the differences in the outputs to the input intervals? Explain your answer.
Answers
Consider from x = -5 to x = -4, they are 1 unit apart and the difference of their outputs is given by:
-3 - (-11) = -3 + 11 = 8.
Thus, the value of the output increases by 8 units for each one unit increase in the input.
Part B:
Consider from x = -3 to x = -1, they are 2 units apart and the difference of their outputs is given by:
21 - 5 = 16.
Thus, the value of the output increases by 16 units for each two units increase in the input.
Part C:
Consider from x = 0 to x = 3, they are 3 units apart and the difference of their outputs is given by:
53 - 29 = 24.
Thus, the value of the output increases by 24 units for each three units increase in the input.
Part D:
It can be noticed that the ratio difference in the outputs to the input intervals are equal for all the given input intervals.
i.e 8 / 1 = 16 / 2 = 24 / 3.
A plant manager needs 75 sq. yds. of fabric and the fabric is only 32 in. wide. How many linear feet must she make to produce 75 sq. yds.?
A) 1.23
B) 4.56
C) 66.67
D) 253.12
Answers
Gina bought 2.3 pounds of red apples and 2.42 pounds of green apples.they were on sale for 0.75 a pound.how much did the apples cost altogether
Answers
2.3lb = (0.75 × 2.3lb) = £1.725
2.42 = (0.75 × 2.42lb) = £1.815
Added together = £3.54
Two-thirds of a number is negative six. Find the number.
a. -9
b. -8
c. -4
Answers
(2/3)x=-6
2x=-6×3
2x=-18
x=-9
Therefore, the number is -9.
Hope I helped :)
Answer:
Step-by-step explanation:
the answer is 9
A printer prints 28 photos in 8 minutes.
How many minutes does it take to print 21 more photos?
Answers
f(x) = -1/3 x + 7 determine the input that would give an output value of 2/3
Answers
f(x) = -1/3x + 7
2/3 = -1/3x + 7 ...multiply everything by 3
2 = -x + 21
2 - 21 = - x
- 19 = -x
19 = x <== ur output
Answer:
The correct answer is (19).
Step-by-step explanation:
a class has 27 students.15 are boys the rest are girls. what is the ratio of girls to total students?
Answers
What is 15 + 17- 100 + 1000 + (-132) x 0?
Answers
= 932 + (-132) * 0
= 932
You stated that the answer should be 0 which is utterly incorrect. Had the question been
=(15 + 17 - 100 + 1000 + (-132)) * 0
Then you'd be correct. But as the way the actual question is written the multiply by 0 is only applied to the (-132)
The result of the expression 15 + 17 - 100 + 1000 + (-132) x 0 is 932.
Multiplication first according to the order of operations (PEMDAS/BODMAS):
(-132) x 0 = 0
Now, substitute the result back into the equation:
15 + 17 - 100 + 1000 + 0
Next, perform the addition and subtraction from left to right:
15 + 17 = 32
32 - 100 = -68
-68 + 1000 = 932
So, the final answer is 932.
An elliptical park is being built in your neighborhood. The park is 25 meters long and 40 meters across. If two swings are to be placed at the foci of the ellipse, how far from the center must the swings be located?
Answers
The equation for an ellipse is
x^2/a^2 + y^2/b^2 = 1
The equation will be x^2/40 + y^2/25 = 1
a^2 - b^2 = c^2
40 - 25 = 15
The foci is (sqrt(15,0) and (-sqrt(15),0)
Answer:the answer is 20
Step-by-step explanation:
Does this graph represent a function? why or why not ?
Answers
---------------------------------------------
---------------------------------------------
Explanation:
The vertical line test is a test to see if it is possible to pass a single vertical line through more than one point on the curve. Since it is not possible to do so, the curve has passed the vertical line test. Passing the vertical line test indicates we have a function. Any x value you plug in will produce exactly one (and only one) y value. If the graph failed the vertical line test, then an x value would produce more than one y values which goes against what a function is.
What is the radius of the circle whose center is the origin and that passes through the point (5 12)?
Answers
Radius=√5^2+12^2=√169=13units
The radius of the circle whose center is the origin and that passes through the point (5 12) is 13 units.
What is the radius of a circle?explanation;
taking from origin,
let 5 units equat to x - axixs
and y = 12 units
so using pythagoras theorm radius = square root of (12)² + (5)²
= [tex]\sqrt{169}[/tex]
=13 answer.
The radius of a circle is the length of the line section from the middle to some extent at the circumference of the circle. it is commonly abbreviated as 'r'. There can be countless radii drawn in a circle and the duration of all those radii can be the identical. it is half of the diameter of the circle.
Radius of a circle from region: in case you know the place A , the radius is r = √(A / π) . Radius of a circle from circumference: if you understand the circumference c , the radius is r = c / (2 * π) . Radius of a circle from diameter: if you understand the diameter d , the radius is r = d / 2
A line phase extending from the middle of a circle or sphere to the circumference or bounding surface. 2a = the bone at the thumb side of the human forearm also : a corresponding a part of vertebrates above fishes. b=the 1/3 and commonly biggest vein of an insect's wing.
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which graph shows the inequality y<2
Answers
Seekor ikan mas memiliki ekor yang panjangnya sama dengan panjang kepalanya ditambah tiga perlima panjang tubuhnya. Panjang tubuhnya tiga perlima dari panjang keseluruhan ikan. Jadi panjang kepala ikan mas adalah 5 cm, berapa panjang keseluruhan ikan tersebut?
Answers
What is the solution of the equation x^2 + 6x + 6 = 0?
Answers
The first three terms of a geometric sequence are as follows.
32, 16, 8
Find the next two terms of this sequence.
Answers
16/8 = 2
so 8/2 = 4
4/2 = 2
your next 2 terms are 4 and 2
hope this helps
So the next 2 terms are 8*0.5 = 4 and 4*0.5 = 2
answer is 4 and 2
The basket of golf balls at a miniature golf course contains 18 golf balls, of which 9 are red. What is the probability that a randomly selected golf ball will be red?
Answers
Final answer:
The probability that a randomly selected golf ball will be red from a basket of 18 balls, with 9 red, is 1/2 or 50%.
Explanation:
The question is asking about the probability of selecting a red golf ball from a basket that contains 18 golf balls, with 9 of them being red. To find this probability, we divide the number of red golf balls by the total number of golf balls.
Here is the calculation:
Number of red golf balls: 9
Total number of golf balls: 18
Probability (P) of selecting a red golf ball: P = Number of red golf balls / Total number of golf balls
P = 9 / 18
P = 1/2 or 0.5 or 50%
Therefore, the probability that a randomly selected golf ball will be red is 1/2, which can also be expressed as 0.5 or 50%.
A line segment has endpoints at (–1, 4) and (4, 1). Which reflection will produce an image with endpoints at (–4, 1) and (–1, –4)?
a reflection of the line segment across the x-axis
a reflection of the line segment across the y-axis
a reflection of the line segment across the line y = x
a reflection of the line segment across the line y = –x
Answers
Answer:
a reflection of the line segment across the line y = –x
Step-by-step explanation:
Reflecting across the line y = -x switches the x- and y-coordinates and negates both. This will map
(-1, 4)→(4, -1)→(-4, 1) and
(4, 1)→(1, 4)→(-1, -4)
The reflection that produces an image with endpoints at (–4, 1) and (–1, –4) is a reflection of the line segment across the line y = -x.
Option D is the correct answer.
What is a reflection?There are two ways of translation.
Along x-axis:
(x, y) – (x, -y)
Along y-axis:
(x, y) - (-x, y)
We have,
The reflection of a point over the x-axis involves changing the sign of its
y-coordinate while leaving the x-coordinate unchanged.
The reflection of a point over the y-axis involves changing the sign of its
x-coordinate, while leaving the y-coordinate unchanged.
The reflection of a point over the line y = x involves swapping its x and y-coordinates.
The reflection of a point over the line y = -x involves swapping the sign of its x and y-coordinates.
To find the reflection that produces an image with endpoints at (–4, 1) and (–1, –4), we need to reflect the original line segment across a line that produces an image with the same length and orientation as the given endpoints.
One way to do this is to plot the points and draw the line segment, then draw the candidate lines of reflection and see which one produces the desired image.
Another way is to compute the midpoint of the original line segment and see which reflection takes that midpoint to the midpoint of the desired image.
Using the second method, the midpoint of the original line segment is:
= ((–1 + 4) / 2, (4 + 1) / 2)
= (1.5, 2.5)
The midpoint of the desired image is:
= ((–4 + –1) / 2, (1 + –4) / 2)
= (-2.5, -1.5)
To find the reflection that takes (1.5, 2.5) to (-2.5, -1.5), we can see that this is the reflection across the line y = -x.
Therefore,
The reflection that produces an image with endpoints at (–4, 1) and (–1, –4) is a reflection of the line segment across the line y = -x.
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How many 3/4 cup servings are there in a 6 cup package of rice?
Answers
Leila is choosing a 2-letter password from the letters A, B, and C. The password cannot have the same letter repeated in it. How many such passwords are possible?