2.21 × 10^20 is expressed in scientific notation.
What does scientific notation consist of?
Writing extremely large or extremely small numbers is done using scientific notation. When a number in the range of 1 to 10 is multiplied by a power of 10, the result is represented in scientific notation.
For instance, 650,000,000 can be expressed using scientific notation as 6.5 108. In scientific notation, a number is expressed in the form n10ab, where an is an integer such that 1|a|10 and b is also an integer.
The decimal point has to go 20 places to the left to give the number 2.21; that means the exponent on the 10 is 20.
= 2.21E20
= 2.21 × 10^20
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A circle has a diameter of 7.6 cm
workout the circumferences of the circle
give your answer correct to 3 significant figures
The circumference of the circle is 23.864
In order to calculate the circumference of a circle, you need to multiply the Diameter of the circle with value of π (pi) which is 3.14.
In the given question,
given, d = 7.6cm
formula : C = d x π
therefore, C = 7.6 x 3.14 = 23.864cm
Write the answer correctly to 3 significant figures.
Alternatively, Circumference can also be calculated by using the value of the radius of the circle. We know, Radius = Diameter/2
Therefore, C = ( 2 x r ) x π
Symbols:
π = pi ( value = 3.14)
d = diameter
r = radius
C = circumference
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so for this i just need to know how to find the area and perimeter
Answer:
Step-by-step explanation:
x=7
Answer: Area: 364 Perimeter: 80
Step-by-step explanation:
Since 2x=14, x=7. Then you plug 7 into 3x+5, so 3(7)+5=26. Then for area you do 14*26=364, and for perimeter you simply do (26+14)2=80
Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
The three (3) true statements about the quadratic function and its graph include the following:
A. The value of f(–10) = 82
B. The graph of the function is a parabola.
D. The graph contains the point (20, –8).
How to determine the true statements about this quadratic function?Generally speaking, the graph of a quadratic function would always form a parabolic curve because it is a u-shaped. For this quadratic function, the graph is a upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero.
Next, we would determine the other true statements about the graph of this quadratic function:
At point (-10, 82), we have:
Quadratic function, f(x) = 1/5 x² – 5x + 12
Quadratic function, f(x) = x²/5 – 5x + 12
Quadratic function, f(-10) = -10²/5 – 5(-10) + 12
Quadratic function, f(-10) = 82
At point (20, -8), we have the following:
Quadratic function, f(x) = 1/5 x² – 5x + 12
Quadratic function, f(x) = x²/5 – 5x + 12
Quadratic function, f(20) = 20²/5 – 5(20) + 12
Quadratic function, f(20) = -8
In conclusion, we can logically deduce that the graph of this quadratic function does not contain the point (0, 0) as shown in the image attached below.
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Complete Question:
Consider the quadratic function f(x) = 1/5x² – 5x + 12. Which statements are true about the function and its graph? Select three options.
The value of f(–10) = 82
The graph of the function is a parabola.
The graph of the function opens down.
The graph contains the point (20, –8).
The graph contains the point (0, 0).
a plant in alamo, tn, manufactures complex transformer components that must meet specific guidelines for safety. one such component is constructed to deliver 1,000 volts of electricity. a component creates a critical safety hazard if it absorbs humidity at a level above 3%. any components that absorb too much humidity will be destroyed. a quality control inspector uses a random sample of components to conduct a hypothesis test with h0: the humidity level absorbed is 3%, and ha: the humidity level absorbed is more than 3%. what is the consequence of a type ii error in this context?
A type II error in this context would be when the inspector incorrectly fails to reject the null hypothesis (H0), meaning they accept the null hypothesis that the humidity level absorbed is 3% when it is actually more than 3%.
What is hypothesis test?A hypothesis test is a statistical procedure used to evaluate a hypothesis by using sample data. Brainly experts can use hypothesis tests to verify the accuracy of their answers by collecting sample data, analyzing it and making a conclusion. Hypothesis testing involves formulating a null and alternate hypothesis, generating a test statistic, and using the test statistic to make a decision. Brainly experts can use hypothesis testing to check the validity of their answers and to ensure that they are providing accurate information to their users.
This type of error would result in potentially hazardous components being approved for use and could lead to catastrophic accidents. In other words, if the inspector fails to reject H0 when it is false, it could lead to unsafe components being used and put the health and safety of people in danger.
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Solve the system of equations by multiplying first. Enter the solution as an ordered pair.
4x+8y=40
3x-2y = 14
Answer:
14
Step-by-step explanation:
Answer:
We can start by multiplying the first equation by 3:
12x + 24y = 120
Then we can multiply the second equation by 4:
12x - 8y = 56
Now, we have:
12x + 24y = 120
12x - 8y = 56
If we subtract the first equation from the second equation:
32y = 64
y = 64/24
y = 2
Now that we know the value of y, we can substitute it back into one of the original equations to find the value of x.
Let's use the first equation:
4x+8(2) = 40
4x+16 = 40
4x = 24
x = 24/4
x =6
So, the solution of the system of equations is x = 6, y = 2.
You have a set of cards labeled one through ten. Event A is drawing an odd card. Event B is drawing a four or higher. What is the P (A∩B)0.900.700.200.50
The value of probability P(A ∩ B) = 3/10 = 0.3.
Probability is a measure of the likelihood of a particular event occurring. It is expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain to occur.
Probability is used in many fields such as statistics, finance, economics, and science to make predictions and decisions based on uncertain information
Event A is drawing an odd card, which means that the odds are 5/10 or 1/2.
Event B is drawing a four or higher, which means that the odds are 7/10.
Event A ∩ B means that we are interested in the probability of drawing an odd card and drawing a card of four or higher at the same time. There are 3 cards that are both odd and four or higher, which are 5,7, and 9. So the probability of drawing one of these cards is 3/10.
Therefore, The value of probability P(A ∩ B) = 3/10 = 0.3.
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68 8236 17 rounded of to 100
Answer:
68823600
Step-by-step explanation:
when mr. adams calculated his students' algebra test scores, he noticed that two students had extremely low scores. which measure of central tendency is affected most by the scores of these two students?
Mean has been affected most by the scores of these two students.
A bunch of scores is averaged to form the mean. The total scores were divided by the total scores. When population samples are tiny, the mean is susceptible to extreme scores.
When you add up all the individual scores and divide that total by the number of students, you obtain the mean, which is the arithmetic average score.
The average performance of a group of students on a test is represented by their mean scale score. A mean scale score is derived specifically by summing together the scores of each individual student and dividing that amount by the number of scores. It is additionally known as an average.
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One scuba diver’s elevation changed by −15 5/8
feet every minute. This was 114
times the rate of change for a second scuba diver.
What was the rate of change in elevation of the second scuba diver in feet per minute?
Answer:
Step-by-step explanation:
The rate of change in elevation of the second scuba diver in feet per minute would be -15 5/8 / 114 = -0.137 feet per minute.
5 question
Directions: Read through Scenario and answer questions 1-15 using July’s Cost for Services fee schedule.
Scenario: July is self-employed and works as an esthetician. She does eyelashes, waxing services, brow lamination, facials and massages.
According to the information we can infer that July earns $675 per week (answer 1), $715 every weekend (answer 2); $5,560 per month (answer 3), $3,050 for additional services (answer 4), and $8,610 as a year's total (answer 5).
How much does July make per week (answer 1)?To calculate how much does July make per week we have to take into account the following information:
Services that July currently make every week.
3 natural looks lashes2 volume lashes2 brow laminations2 full face waxing1 bikini waxTo calculate the total earned by July we have to multiply the price of each service by the number of customers of each one. Additionally, we have to add all results as shown in the following.
3 * $65 = $1952 * $85 = $1702 * $80 = $1602 * $45 = $901 * $60 = $60$195 + $170 + $160 + $90 + $60 = $675
How much does July make on the weekend (answer 2)?To calculate how much does July make per weekend we have to take into account the following information:
Services that July currently make every weekend.
2 body massages2 natural look lash extensions3 mega volume extensions2 facialsTo calculate the total earned by July we have to multiply the price of each service by the number of customers of each one. Additionally, we have to add all results as shown in the following.
2 * $85 = $170
2 * $65 = $130
3 * $95 = $285
2 * $65 = $130
$170 + $130 + $285 * $130 = $715
How much does July make on a given month (answer 3)?To calculate how much July makes on a given month we have to add the weekend earnings with week earnings and multiply it by four (taking into account that a month has four weeks).
$715 + $675 = $1,390
$1,390 * 4 = $5,560
How much would July make for additional services alone per year (answer 4)?To calculate the total earned by July for additional services we have to calculate the total value of these services and multiply it by five.
2 * $185 = $370
3 * $80 = $240
$240 + $370 = $610
$610 * 5 = $3,050
How much would July make in a year for her regular services plus the additional services mentioned in question #4 (answer 5)?To calculate how much would July make in a year for her regular services plus the additional services of the question 4, we have to add both values.
$5,560 + $3,050 = $8,610
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Which relation is a function?
{(1, −7), (2, −8), (−2, 7), (1, 8)}
{(−2, 2), (−7, 7), (−1, 1), (−8, 8)}
{(−2, 1), (−2, 2), (−2, 7), (−2, 8)}
{(−2, 1), (−7, −1), (2, 8), (−7, −8)}
The second relation is a function
which segment is the shortest
Answer: X or Y
Step-by-step explanation:
A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is red.
Spinner divided evenly into eight sections with three colored blue, one red, two purple, and two yellow.
Determine the theoretical probability of the spinner not landing on yellow, P(not yellow).
Answer: P(not yellow) = 6/8
Step-by-step explanation:
It is correct 100%
Answer:
0.625 in decimal form
I. The sum of the probabilities in a probability distribution can be any number between 0 and 1. II. The probability of the union of two events is the sum of the probabilities of those events. III. The probability that an event happens is equal to 1 minus the probability that the event does not happen.
None of the above gives the complete set of true responses for the probability that the event does not happen.
What is probability?The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.
Here,
None of the above provides the entire set of accurate replies for the likelihood that the event does not occur.
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the roots of the polynomial 10x3 - 39x2 29x - 6 are the height, length, and width of a rectangular box (right rectangular prism). a new rectangular box is formed by lengthening each edge of the original box by 2 units. what is the volume of the new box?
The volume of the new box is 30 units^3.
We can infer the roots are rational integers from the response options, thus this polynomial ought to be simple to factor. The coefficients of x must multiply by 10, hence they must be in some sequence of 5,2,1 or 10,1. Since we can try each one separately, we can express the factored form as follows:
(5x-p)(2x-q)(x-r)
Due to the fact that p, q, and r must multiply to 6, they must be either 3,2,1 or 6,1,1 in some sequence. Once more, we may test each one in a different place to determine if they multiply properly.
When we multiply the x-terms and attempt (5x-2)(2x-1)(x-3), the answer is 29. Try adding the x^2 terms together; they equal -39. Consequently, the roots are [tex]\frac{2}{5} , \frac{1}{2} and 3.[/tex] Now if you add 2 to each root, you get the volume is
=> [tex]\frac{12}{5} X \frac{5}{2} X 5 =30[/tex]
Therefore, The volume of the new box is 30 units^3.
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do most teens recycle? to find out, an ap statistics class asked an srs of 100 students at their school whether they regularly recycle. in the sample, 55 students said that they recycle. is this convincing evidence that more than half the students at the school would say they regularly recycle? the dotplot shows the results of taking 200 srss of 100 students from a population in which the true proportion who recycle is 0.50.
More data needs to be collected to be able to conclude if more than half the students regularly recycle as the dotplot shows the results are variable.
1. Calculate the proportion of students who reported recycling in the sample:
55/100
= 0.55
2. Calculate the sample size:
100 students
3. Calculate the standard error: SE
= sqrt(0.50*(1-0.50)/100)
= 0.05
4. Calculate the 95% confidence interval:
CI = 0.55 +/- 1.96*SE
= 0.55 +/- 0.098
= (0.45, 0.65)
5. Compare the confidence interval to the true population proportion: 0.50 is not included in the CI, therefore we cannot conclude that more than half the students would say they regularly recycle.
We cannot conclude that more than half of the students would say they regularly recycle because the 95% confidence interval (0.45, 0.65) does not include the true population proportion (0.50). Therefore, more data needs to be collected to be able to draw a conclusion.
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Tyrone is converting startfraction 45 over 50 endfraction to a percent. which method should he use to find the percent? divide the numerator and denominator of the fraction by 2. subtract 40 from the numerator and denominator of the fraction. multiply the numerator and the denominator of the fraction by 2. add 50 to the numerator and denominator of the fraction.
40% first you turn it into a decimal, then u multiply it by 100 to get your percent.
For solving this question we will use the Unitary method
The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The term "unitary method" refers to a process where the value of one item is initially determined before determining the values of any other items.
The unitary method's formula is to identify the value of a single unit, then multiply that value by the number of units to obtain the required value.
2/5 = 0.4
0.4 x 100 = 40% first u turn it into a decimal, then u multiply it by 100 to get ur percent
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The full question will be
Tyrone is converting StartFraction 45 Over 50 EndFraction to a percent. Which method should he use to find the percentage?
Evaluate 8.5 x plus 7.9 y when x equals 7 and y equals 8
Answer:
=x^2+1 (Graph Example), 4x+2=2 (x+6) (Solve Example) Algebra Calculator is a calculator that gives step-by-step help on algebra problems. See More Examples ». x+3=5. 1/3 +
Step-by-step explanation:
Answer:
y=x^2+1
Step-by-step explanation: 4x+2=2 (x+6)
how many gallons will daniel need? help please thank you
Measure wall height from floor to ceiling. Exclude baseboards and moldings. Measure length of each wall including doors and windows.
What exactly is the wall formula?Walls. Use the basic formula of Length x Width = Area to determine the area of a wall. Then, using the same approach, calculate the individual area of windows and doors. After you’ve taken all of these measurements, deduct the area of the windows and doors from the overall wall area. Methods of longwall and shortwall Long walls are those that run the length of the room, whereas short walls are those that run perpendicular to the length of the room.
Next, consider which unit of measurement is most appropriate for measuring a wall. Very tiny units such as inches, centimeters, and millimeters can be ruled out. We can also eliminate.
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What is a infinitely many in math?
In mathematics, having an infinitely large amount or cardinality is referred to as having an infinity many.
Endless sets actually have an infinite number of components. If a set has continuity on both sides or is unbounded from start to finish, we can refer to it as infinite. For instance, the set of whole numbers W = 0, 1, 2, 3, etc. is an infinite set since it has an unlimited number of items. The set of real numbers is one of the uncountably infinite sets. Dots are used to symbolize the elements of an infinite set to denote the set's infinity.
There are some properties of infinite many solutions.
The superset of an infinite set is also infinite.
The subset of an infinite set may or may not be infinite.
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Can someone answer this question with an actual answer, I’ll give you brainliest.
Answer:
A.) Angle A Congruent to Angle D
C.) The scale factor of DE/AB is 2
Step-by-step explanation:
Image shows and supports those.
Mason is working two summer jobs, making $7 per hour babysitting and making $10 per hour clearing tables. In a given week, he can work at most 12 total hours and must earn no less than $90. If a represents the number of hours babysitting and y represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
the answer to this question is 107
eight children are divided into two teams each containing 4 children to play a game against each other. how many different divisions are possible? group of answer choices 35
8 children are divided into 2 teams each containing 4 children to play a game against each other. 105 different divisions are possible.
Permutation:
In mathematics, permutation refers to the process of placing all members of a set into an order or sequence. In other words, if the set is already ordered, the permutation of its elements is called permutation. Substitutions occur in more or less noticeable ways in almost all areas of mathematics. They often occur when different orders are considered in a particular finite set.
Combination:
Combining is a way of selecting items from a collection, and (unlike permutation) the order of selection does not matter. In smaller cases you can count the number of combinations. Combining refers to combining n things, taken k times at once, without repetition.
According to the Question:
The first team can be chosen in ⁸C₂ = 28 ways.
After that, there are 6 people left, from which there are ⁶C₂ = 15 ways to choose the second team.
Then, there are 4 people left, out of which ⁴C₂ = 6 ways he can choose the third team. There is only one way to choose the fourth and final team from the remaining two.
In the above procedure, each occasion of splitting eight into her two his four teams counted as 4!= 24 times.
Thus,
The number of ways to divide a group of 8 people into 4 teams of 2 people = 28 × 15 × 6 / 24
= 105
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curved surface area of a cone = πrl, where r is the radius
and is the slant height.
Work out the total surface area of the cone shown below.
Give your answer to 1 d.p.
21 m
8m
4
A cone with slant height 21 m and radius 4 m has a total surface area of 100 π m.
What is a cone?
A cone is a shape created by connecting the points on a circular base to a common point, known as the apex or vertex, using a series of line segments or lines (which does not contain the apex).
The formula for curved surface area of cone is = πrl
The formula for total surface area of cone is = πrl + πr²
The slant height value l = 21 m
The diameter is given d = 8 m
The radius is given as r = 4 m
The total surface area is -
TSA = πrl + πr²
TSA = πr (l + r)
TSA = π4 (21 + 4)
TSA = 4 π (25)
TSA = 100 π m
Therefore, the total surface area is 100 π m.
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The vertices of quadrilateral ABCD are given. Draw ABCD in a coordinate plane and show that it is a parallelogram.
A(-2, 3), B(-5, 7), C(3, 6), D(6, 2)
The quadrilateral is parallelogram, When the vertices of quadrilateral ABCD are given.
A parallelogram is a two-dimensional shape that has a pair of two parallel and congruent sides. It is the simplest type of quadrilateral that has opposite sides equal and parallel.
The opposite angles of a parallelogram are also equal and the sum of two consecutive angles is always supplementary. It has two unequal diagonals.
A point always represents the location of a particular place or position in a standard cartesian system, and the coordinates of the point represent the distances from the respective coordinate axis.
For example, consider a point P(x,y), in which the coordinates x and y are the perpendicular distances from the x-axis and the y-axis respectively.
The formula to find out the distance between two points is generally known as the Distance formula which can be expressed as:
d=√(x₂−x₁)²+(y₂−y₁)²
Given:
The vertices of the quadrilateral
A B C D: A(-2,3),B(-5,7),C(3,6), D(6,2).
The measure of the sides of the quadrilateral
d=√(x₂−x₁)²+(y₂−y₁)²
AB=√(-5-(-2))²+(7-3)²
Ab=√(-3)²+4²
AB=√25
AB=5units.
BC=√(3+5)²+(6-7)²
BC=√(8)²+1²
BC=√65 units.
CD=√(6-3)²+(2-6)²
CD=√3²+4²
CD=√25
CD=5 units.
AD=√(6-(-2))²+(2-3)²
AD=√(-8)²+1²
AD=√65 units.
The diagonals:
BC=√(3+5)²+(6-7)²
BC=√(8)²+1²
BC=√65 units.
AC=√(3+2)²+(6-3)²
AC=√(5)²+3²
AC=√25+9
AC=√34 units
Here, AB=CD and BC=AD and AC≠BC
Thus, the given quadrilateral is parallelogram.
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What is the name of the fee charged by a financial institution for withdrawing money from an account before the maturity date?
O A. Surrender charge
O B. Liquidity fee
O C. Early redemption fee
Surrender charges safeguard against such losses. Surrender costs on some annuities and insurance products can apply for as short as 30 days or as long as 15 years. If you cash in your investment in year one, the surrender cost for annuities and life insurance is typically 10%.
The surrender period is the amount of time that an investor must wait before withdrawing cash from an annuity without penalty. Surrender periods can last many years, and withdrawing funds before the conclusion of the surrender term may result in a surrender charge, which is basically a delayed sales cost.
The longer the surrender time, in general, but not always, the better the annuity's other terms.
The surrender period is the period during which an investor may withdraw funds from an annuity without incurring a surrender charge.
The surrender term can last many years, and annuitants may face large fines if they remove their invested assets before the time has finished.
Other financial instruments include a surrender period as well B-share mutual funds and entire life insurance plans are two examples.
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find the given median of the following data 16 14 15 18 17 20 25
Answer: 17
Step-by-step explanation:
First, change everything to ascending order.
14, 15, 16, 17, 18, 20, 25
Now, select the middle number, in this case, it is 17.
To find the median of a data set, you must put the numbers in order from least to greatest and find the middle (center) number.
The following data set: 16, 14, 15, 18, 17, 20 and 25 can be organized into the following order: 14, 15, 16, 17, 18, 20, 25.
Now, simply find out the middle number.
17 is the middle number, therefore the median.
FILL IN THE BLANK: The three-letter abbreviation for the trigonometric function that relates an angle to the ratio of the (measure of the side) opposite the angle to the (measure of the side) adjacent to the angle is called ______
Answer:
SohCahToa
Step-by-step explanation:
Write out the sample space for the given experiment. Use the following letters to indicate each choice: M for mushrooms, A for asparagus, E for eggs, S for shrimp, V for vinaigrette, and H for honey mustard.
When deciding what you want to put into a salad for dinner at a restaurant, you will choose one of the following extra toppings: mushrooms, asparagus. Also, you will add one of following meats: eggs, shrimp. Lastly, you will decide on one of the following dressings: vinaigrette, honey mustard.
Separate your answers using commas.
The sample space is given as: S = { MEV, MEH, MSV, MSH, AEV, AEH, ASV, ASH }
The total number of sample points is 8
A sample point is one of the experiment's potential outcomes in a probabilistic experiment. Sample space is the collection of all sample points.
There are two results when you toss a coin: head (H) or tail (T) (T). There are four possible results when tossing two coins: HH, HT, TH, and TT, where the first letter denotes the result of the first toss and the second, that of the second. Each result is referred to as a sample point.
The list of all potential outcomes of an experiment is referred to as the sample space. Regardless of the number of ways an event might occur, each potential result is represented by a single point in the sample space.
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I need the answer for this question
Answer:
[tex]\frac{-1}{2}[/tex]
Step-by-step explanation:
Rate of change = [tex]\frac{Change in Y value}{Change in X value}[/tex]
Pick any two sets of 'X' and 'Y' value
I chose (-4, 6) as [tex](X_{1} ,Y_{1} )[/tex]and (12, -2) as [tex](X_{2} ,Y_{2} )[/tex] :
Rate of change = Slope / Gradient of graph = [tex]\frac{Y_{2} -Y_{1} }{X_{2} - X_{1} }[/tex]
= [tex]\frac{-2 - (6)}{12 - (-4)}[/tex]
= [tex]\frac{-2 - 6}{12 + 4}[/tex]
= [tex]\frac{-8}{16}[/tex]
= [tex]\frac{- 1}{2}[/tex]
