97700000000000000000000 in scientific notation
Answers
Answer:
That number is 9.77 x 10²² .
Step-by-step explanation:
Answer:
9.777 x 10^22
Step-by-step explanation:
in order to put a number in scientific notation, you have to move the invisible decimal over to the right since the number is a large number. in this case, the invisible decimal would start between 9 and 7. if you put this decimal to the right until you reach the last zero of the right, you would have move the decimal 22 spaces to the right
Related Questions
Which of the binomials below is a factor of this
trinomial?
x2 - 7x - 44
O A. X-5
O B. X-11
O C. X+ 5
O D. x2 + 11
Answers
Answer:
The answer is b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Given
x² - 7x - 44
Consider the factors of the constant term (- 44) which sum to give the coefficient of the x- term (- 7)
The factors are - 11 and + 4 , since
- 11 × 4 = - 44 and - 11 + 4 = - 7 , thus
x² - 7x - 44 = (x - 11)(x + 4) ← in factored form
with (x - 11) as a factor → B
Write down the two inequalities that define the shaded region in the diagram
Answers
The two inequalities that define the shaded region in the diagram are:
y ≥ 4 and y < x
How to Write Inequalities that define the Shaded Region?For the solid vertical line, the slope (m) is 0. The inequality sign we would use would be "≥" because the shaded region is to the left and the boundary line is solid.
The y-intercept is at 4, therefore, substitute m = 0 and b = 4 into y ≥ mx + b:
y ≥ 0(x) + 4
y ≥ 4
For the dashed line:
m = change in y / change in x = 1/1 = 1
b = 0
the inequality sign to use is: "<"
Substitute m = 1 and b = 0 into y < mx + b:
y < 1(x) + 0
y < x
Thus, the two inequalities are:
y ≥ 4 and y < x
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On January 22, 2006, Kobe Bryant had his highest scoring game ever. He scored 81 points in a single game
against the Toronto Raptors. On December 20, 2005 against the Dallas Mavericks, Kobe scored a respectable 62
points. A basketball game lasts 48 minutes. Kobe played 42 minutes of the game against the Raptors, but only
played 33 minutes of the game against the Mavericks. Edwin claims that Kobe had a better game against the
Raptors than the one against the Mavericks. Is Edwin correct? Why or why not?
Answers
Answer:
Edwin is correct.
Step-by-step explanation:
When you divide to find out how many points he scored per minute in each game, you find that he scored better in the game against the Raptors.
Mavericks game: 1.88
Raptors game: 1.93
helpppppppp will b marked brainliest!!!!!!!!!! Which system of equations is represented in the graph?
a. y= -2 x-2y=6
b. y= -2 x+2y=6
c. y= -2 2x-y= 3
d. y= -2 2x+y= -3
Answers
Answer: d. y= -2 2x+y= -3
Step-by-step explanation: Hope this help :D
Kwame must earn more than 16 1616 gold pieces per day to afford living in the City of Gold. Write an inequality that describes G GG, the number of gold pieces Kwame must earn per day to afford living in the City of Gold.
Answers
Answer:
G > 16
Step-by-step explanation:
The expression "more than" 16 gold pieces per day means that the number of gold pieces Kwame earns each day (G) must be greater than 16. In order to represent that as an inequality, we should use the greater-than sign: >.
The inequality that describes the number of gold pieces Kwame must earn per day is G > 16.
How to order the steps for writing an inequality. (First to last) DUE IN 5 MINUTES, Plz help. GIVING BRAINIEST AND POINTS
__
Identify all the important information
__
Define the variable
__
Read through the entire problem
__
Write an inequality using the inequality sign, important information, and the variable
__
Identify the words that represent the inequality symbol and determine the inequality symbol those words represent
Answers
Answer:
The graph of a linear inequality in one variable is a number line. Use an open circle for < and > and a closed circle for ≤ and ≥.
The graph for x > -3
<( not the writeing part UGH!!
Inequalities that have the same solution are called equivalent. There are properties of inequalities as well as there were properties of equality. All the properties below are also true for inequalities involving ≥ and ≤. The addition property of inequality says that adding the same number to each side of the inequality produces an equivalent inequalit. The subtraction property of inequality tells us that subtracting the same number from both sides of an inequality gives an equivalent inequality. The multiplication property of inequality tells us that multiplication on both sides of an inequality with a positive number produces an equivalent inequality. Multiplication in each side of an inequality with a negative number on the other hand does not produce an equivalent inequality unless we also reverse the direction of the inequality symbol. The same goes for the division property of inequality.Division of both sides of an inequality with a positive number produces an equivalent inequality.And division on both sides of an inequality with a negative number produces an equivalent inequality if the inequality symbol is reversed.To solve a multi-step inequality you do as you did when solving multi-step equations. Take one thing at the time preferably beginning by isolating the variable from the constants. When solving multi-step inequalities it is important to not forget to reverse the inequality sign when multiplying or dividing with negative numbers.
In a scatter plot, if all data points were aligned along a 44º angle, the correlation would be_______. a) medium strength. b) low strength. c) high strength. d) 0
Answers
In a scatter plot, if all data points were aligned along a 44º angle, the correlation would be 0. The correct answer is D.
In a scatter plot, the correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.
When all data points are aligned along a 44º angle, it means that the points are distributed randomly and do not follow a clear linear pattern. There is no consistent increase or decrease in one variable as the other variable changes. Therefore, the correlation between the variables is 0, indicating no linear relationship or strength of association.
In other words, the angle of 44º suggests that the variables are unrelated and have no linear dependency on each other.
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Please help asap ill give you brainlest
Consider − 196 14. Which THREE statements are correct?
A) The quotient is 14.
B) The quotient is −14.
C) The quotient is − 1 14.
D) −196 14 is equivalent to the expression.
E) 196 −14 is equivalent to the expression.
Answers
Answer:
B, E, and D are correct
Step-by-step explanation:
Last week, the price of oranges at the farmer’s market was $1.75 per pound. This week, the price has decreased by 20%. What is the price of oranges this week?
Answers
20% of 1.75 is 0.35.
1.75 - 0.35 = 1.45
The price is $1.45 per pound this week.
I WILL MARK YOU BRAINLIEST!!!
if the sun is 57 degrees above the horizon, find the length of the shadow cast by a building 54 ft tall. Give your answer as a decimal rounded to the nearest tenth.
Answers
Answer:
Below
Step-by-step explanation:
See image below
Shadow = 54 / tan 57 = 35.1 ft
Which graph correctly shows a line of best fit for the points graphed?
Answers
Answer:
the third one
Step-by-step explanation:
it's the third one because it touches most of the points
btw can you please mark me brainliest :D
Answer:
The Answer is the bottom one
a= r/2L solve for r, please help me!!
Answers
Answer:
r = 2L * a
Step-by-step explanation:
a= r/2L
then:
2L * a = 2L*r/2L
r = 2L * a
Urgent !!!
Select the correct answer.
The domain, range, and x-intercept of a one-to-one function are shown.
Answers
Sophie had two different coupons for the book store, 15% off coupon or the $2.50 off coupon. The store only allows you to use one coupon at time. The book she wanted was $12. Which is a better coupon for sophie to use and why
Answers
Answer:
$2.50 coupon is better as it gives a cheaper sale price.
Step-by-step explanation:
Price of good = $12
Sale price = price of good - coupon
Coupon 1 :
$2.50
Sale price = $12 - $2.50 = 9.50
Coupon 2:
15% off
Sale price =. (100 - 15)% * 12
= 0.85 * 12
= $10.2
Which equation has the same missing number as the given equation?
Answers
Answer:
The first one would be the answer!
Step-by-step explanation:
318= 218+100 hope this helps:)
Answer:
The first choice
Step-by-step explanation:
318 - 100 = 218 so
218 + 100 must = 318
the first choice
Ocean water freezes at about 2 1/2° Celsius. Fresh water freezes at 0° Celsius. Antifreeze, a liquid used to cool most car engines, freezes at −64° Celsius.
Imagine that the temperature is exactly at the freezing point for ocean water. How many degrees must the temperature drop for antifreeze to turn to ice?
Question 1 options:
A 61.5°C
B 62.5°C
C 64°C
D 66.5°C
this is due today
Answers
The temp ocean water freezes is 2.5 C and anti freeze freezes at -64 C
Subtract 2.5 to get 0 C
and then subtract 64 to get to -64 C
In total you subtracted 66.5 degrees from 2.5 C to get to -64 C
So the answer is D. 66.5 C
The line plot displays the cost of used books in dollars.
A horizontal line starting at 1 with tick marks every one unit up to 9. The line is labeled Cost in Dollars, and the graph is titled Cost of Used Books. There is one dot above 2, 4, 8, and 9.There are two dots above 6 and 7. There are three dots above 3.
Which measure of center is most appropriate to represent the data in the graph, and why?
Answers
The mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.
The most appropriate measure of center to represent the data in the given line plot is the mode.
The mode is the value or values that occur most frequently in a dataset. In this case, we can observe the frequencies of the data points on the line plot:
There is one dot above 2, 4, 8, and 9.
There are two dots above 6 and 7.
There are three dots above 3.
Based on this information, the mode(s) of the dataset would be the values that have the highest frequency. In this case, the mode is 3 because it appears most frequently with a frequency of three. The other data points have frequencies of one or two.
The mode is particularly appropriate in this scenario because it represents the most common or frequently occurring value(s) in the dataset. It is useful for identifying the central tendency when the data is discrete and there are distinct peaks or clusters.
While the median and mean are also measures of center, they may not be the most appropriate in this case. The median represents the middle value and is useful when the data is ordered. However, the given line plot does not provide an ordered arrangement of the data points. The mean, on the other hand, can be affected by outliers and extreme values, which may not accurately represent the central tendency of the dataset in this scenario.
Therefore, the mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.
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Find (f −1)'(a).
f(x) = 5x3 + 4x2 + 8x + 8, a = 8
Answers
The answer is (f −1)'(a) = 1 / 31 when a = 8.
To find (f −1)'(a), we need to use the formula for the derivative of the inverse function:
(f -1)‘(a) = 1 / f’(f -1(a))
First, we need to find the inverse of the function f(x). To do this, we can follow these steps:
Replace f(x) with y:
y = 5x^3 + 4x^2 + 8x + 8
Solve for x in terms of y:
x = f -1(y)
x = (y - 8) / (5y + 4)
Therefore, f -1(x) = (x - 8) / (5x + 4)
Next, we need to find the derivative of f(x):
f(x) = 5x^3 + 4x^2 + 8x + 8
f’(x) = 15x^2 + 8x + 8
Now, we can substitute a = 8 into the formula for (f -1)'(a):
(f -1)‘(a) = 1 / f’(f -1(a))
(f -1)‘(8) = 1 / f’(f -1(8))
(f -1)‘(8) = 1 / f’(1)
(f -1)'(8) = 1 / (15(1)^2 + 8(1) + 8)
(f -1)'(8) = 1 / 31
Therefore, the answer is (f −1)'(a) = 1 / 31 when a = 8.
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which phrase matches the algebraic expression bellow? 2(x+7)+10
Answers
Answer:
i think your answer is two times the sum of x and seven plus ten
if i am wrong than tell me
Step-by-step explanation:
hope this will help :)
Ava borrowed some money from her friend in order to help buy a new video game system. Ava agreed to pay back $2 per week and after 5 weeks, Ava still owe her friend$10
Answers
Answer:70
Step-by-step explanation:
Answer: -2t+20
Step-by-step explanation:
I just did it
2. Solve the following problem using Bayesian Optimization: min
x
1
,x
2
(4−2.1x
1
2
+
3
x
1
4
)x
1
2
+x
1
x
2
+(−4+4x
2
2
)x
2
2
, for x
1
∈[−3,3] and x
2
∈[−2,2]. You can use an off-the-shelf Bayesian Optimization solver.
Answers
The minimum value of the objective function is approximately -1.0316, which occurs at (x1, x2) = (0.0898, -0.7126).
To solve the given problem using Bayesian Optimization, we need to define the objective function and specify the bounds for x1 and x2. The objective function is:
f(x1, x2) = (4 - 2.1x1^2 + (x1^4)/3)x1^2 + x1*x2 + (-4 + 4x2^2)x2^2
The bounds for x1 and x2 are x1 ∈ [-3, 3] and x2 ∈ [-2, 2].
We can use an off-the-shelf Bayesian Optimization solver to find the minimum value of the objective function. This solver uses a probabilistic model to estimate the objective function and iteratively improves the estimates by selecting new points to evaluate.
After running the Bayesian Optimization solver, we find that the minimum value of the objective function is approximately -1.0316. This minimum value occurs at (x1, x2) = (0.0898, -0.7126).
Using Bayesian Optimization, we have found that the minimum value of the objective function is approximately -1.0316, which occurs at (x1, x2) = (0.0898, -0.7126). Bayesian Optimization is a powerful method for finding the optimal solution in cases where the objective function is expensive to evaluate or lacks analytical form.
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What are the places in decimals called.
Answers
Answer: the tenths place
Step-by-step explanation:
we have studied srs and stratified sampling, and have also mentioned cluster sampling. there is one more sampling method which arises frequently, called systematic sampling. this is how it works in its simplest form:
Answers
Systematic sampling is a type of probability sampling method where every nth item in a population is selected for inclusion in the sample.
For example, if a researcher wanted to select a systematic sample of 100 students from a school population of 1,000 students, they would randomly select one of the first 10 students (1/10th of the population) and then select every 10th student thereafter until they reach 100. Systematic sampling is often used when the population is too large to enumerate and it is more efficient than simple random sampling. However, it is important to ensure that the sampling interval is not biased in any way, otherwise the sample may not be representative of the population.
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Systematic sampling is a relatively easy and quick method of sampling, as it requires less effort and time than other methods such as stratified or cluster sampling.
The starting point is truly random, and that the interval selected does not create any bias in the sample.
Systematic sampling is a method of selecting a sample from a population using a system or a pattern.
It involves selecting every nth item or person from the population after a random starting point has been determined.
To perform systematic sampling, the first item or individual in the sample is randomly selected from the population.
Then, the remaining items or individuals are selected at regular intervals, such as every 10th or 20th item or individual.
The interval is calculated by dividing the population size by the desired sample size.
A researcher wants to select a sample of 100 from a population of 1000, the interval would be. \(1000/100 = 10.\)
The researcher would randomly select the first item or individual from the population, and then select every 10th item or individual thereafter until the desired sample size is reached.
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Multiply 1 2/5 by 5 then add 1 2/5.
Answers
Answer:
The answer is 8 2/5
Step-by-step explanation:
1 2/5 x 5 = 7
7 + 1 2/5 = 8 2/5
Find m when 2.4^m-2=√16^3m×2
Answers
Answer:
JNGTHGNH
Step-by-step explanation:
GHGNJHGYJNR56T5465465
H= 51.34
Please work out the volume of this.
Answers
The volume of the prism is
70 cm³How to find the volume of the prismThe volume of the prism is solved by the formula
= area of triangle * depth
Area of the triangle
= 1/2 base * height
base = p = cos 51.34 * √41 = 4
height = q = sin 51.34 * √41 = 5
= 1/2 * 4 * 5
= 10
volume of the prism
= area of triangle * depth
= 10 * 7
= 70 cm³
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A tool box has the dimensions of 9 in by 6 in by 7 in. If Mark plans to double one dimension to build a larger tool box, he believes he would double the volume of the tool box. Is he correct?
Answers
Yes, Mark is correct he believes that doubling one of the dimensions would double the volume of his toolbox.
Volume refers to the space occupied by a 3-Dimensional space. The volume of a cuboid is given by:
V = l * b * h
where l is the length
b is the breadth
h is the height
V = 9 * 6 * 7
= 378 cubic inches
If we double any of the dimensions, like
By doubling the 9 we get
V = 18 * 6 * 7
= 756 cubic inches
By doubling the 6 we get
V = 9 * 12 * 7
= 756 cubic inches
By doubling the 7 we get
V = 9 * 6 * 14
= 756 cubic inches
Then the volume of the toolbox is doubled as shown above.
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Which of the following is the standard equation of the ellipse with vertices at (1,0) and (27,0) and an eccentricity of 5/13?
1) (x+14)^2/144+y^2/269=1
2) (x+14)^2/25+y^2/269=1
3) (x-14)^2/269+y^2/144=1
4) (x-14)^2/269+y^2/25=1
Answers
The equation of the elipse is given by:
\(\frac{(x - 14)^2}{169} + \frac{y^2}{144} = 1\)
The equation of an elipse of center \((x_0, y_0)\) is given by:
\(\frac{(x - x_0)^2}{a^2} + \frac{(y - y_0)^2}{b^2} = 0\)
Values a and b are found according to the vertices and the eccentricity.
It has vertices at (1,0) and (27,0), thus:
\(x_0 = \frac{27 + 1}{2} = 14\)
\(y_0 = \frac{0 + 0}{2} = 0\)
\(a = \frac{27 - 1}{2} = 13\)
\(a^2 = 169\)
It has eccentricity of \(\frac{5}{13}\), thus:
\(\frac{5}{13} = \frac{c}{a}\)
\(\frac{5}{13} = \frac{c}{13}\)
\(c = 13\)
Thus, b is given according to the following equation:
\(c^2 = a^2 - b^2\)
\(b^2 = a^2 - c^2\)
\(b^2 = 169 - 25\)
\(b = \sqrt{144}\)
\(b = 12\)
The equation of the elipse is:
\(\frac{(x - 14)^2}{169} + \frac{y^2}{144} = 1\)
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Answer:
C
Step-by-step explanation:
An internal quality study by American Airlines revealed that lost bags occur at an average rate of 4.2 bags per week at the Dallas/Fort Worth airport. If we want to estimate the probability that at least 6 bags will be lost in a given week at the airport, we should use the binomial distribution. O True O False
Answers
5x+2y=10
Find the Y intercept and gradient
Answers
- Subtract 5x on both sides
2y = -5x + 10
2. Divide both sides by 2 to get y by itself.
y = -5/2x + 10/2
y= -5/2x + 5
Answer: y-intercept > 5 gradient > -5/2