The scientific notation of 69200000 is 6.92 × 10⁷
How to represent number in scientific notation?Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.
Scientific Notation is a special way of writing numbers:
For example 800 is written as 8 × 10² in Scientific Notation.
Therefore, let's write the scientific notation of the number 69200000.
Hence,
69, 200, 000 = 6.92 × 10⁷
The logic is that we will count backwards until we meet the last number.
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a) Complete the table.
Number
36,892 81,055 7,908 126,388
Rounded to the nearest 10,000
Rounded to the nearest 1,000
Rounded to the nearest 100
helpppp
The rounding up of all the numbers 36,892 81,055 7,908 126,388 to the nearest 10000, 1000 and 100 are as shown below.
How to round up numbers?To round up a number to the nearest 10000, what we do is to check the thousands digit to decide whether to round up or round down.
To round up a number to the nearest 1000, what we do is to check the hundreds digit to decide whether to round up or round down.
To round up a number to the nearest 100, what we do is to check the tens digit to decide whether to round up or round down.
1) 36,892 to the nearest 10000 is; 40000
81,055 to the nearest 10000 is; 80000
7,908 to the nearest 10000 is; 10000
126,388 to the nearest 10000 is; 130000
2) 36,892 to the nearest 1000 is; 37000
81,055 to the nearest 1000 is; 81000
7,908 to the nearest 1000 is; 10000
126,388 to the nearest 1000 is; 126000
3) 36,892 to the nearest 100 is; 36900
81,055 to the nearest 100 is; 81100
7,908 to the nearest 100 is; 7900
126,388 to the nearest 100 is; 126400
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PLease help me i willlllllllllll faillllllllllllllif someone dont
For the first 3 images.
a) The linear equation is the one in option A:
y = x
b) The linear equation is the one in option B:
y = (1/2)*x + 3
c) The correct option is C, the slope of scenario 1 is 60
How to identify the linear equations?A general linear equation is:
y = a*x + b
So we have a polynomial of degree 1, this means that there can be at most two terms, one that depends of x, and other that is a constant.
From the first list the only linear equation is y = x.
none of the others depend linearly with x.
From the second list the only option that is a linear equation is B.
y = (1/2)*x + 3
Where you can see two terms, the first one depends linearly of x and the second one is a constant.
For the third image.
If you evaluate the equation for scenario 2 in x = 1, you get:
y = 50*1 = 50
So in one hour, you travel 50 miles.
While on scenario 1, on one hour you travel 60 miles.
Then the speed is greater on scenario 1, where the slope is 60, so the correct option is C.
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How many periods of the function
y = sin x are there between
-10п < 0 ≤ 6п ?
The number of periods of the function y = sinx are there between -10π < 0 ≤ 6π is 8.
The given trigonometric function is y=sinx.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, the interval is -10π < 0 ≤ 6π
Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.
Amplitude: 1
Period: 2π
Phase Shift: None
Vertical Shift: None
Plot (0, 0), (π/2, 1), (π, 0), (3π/2, -1) and (2π, 0)
Therefore, the number of periods of the function y = sinx are there between -10π < 0 ≤ 6π is 8.
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Hormones like to bind to what on the surface of cells? A. signals B. receptors C. towers
Answer: Protein receptors - B)
Step-by-step explanation:
Once hormones find a target cell, they bind with specific protein receptors inside or on the surface of the cell and specifically change the cell's activities.
WORTH 100 POINTS NEED BETTER GRADE C 78%
Applying Side-side-side (SSS), the two-column proof that explains why ∠T ≅ ∠S is shown below.
What is the Side-side-side (SSS) Congruence Postulate?The side-side-side (SSS) postulate states that two triangles that have all their three corresponding sides equal are definitely congruent triangles.
The two-column proof that shows that ∠T ≅ ∠S is explained below:
Statement Reason
1. U is the midpoint of ST 1. Given
2. RT ≅ RS 2. Given
3. TU ≅ SU 3. Definition of a midpoint
4. UR ≅ UR 4. Reflexive property
5. ΔTUR ≅ ΔSUR 5. Side-side-side (SSS)
6. ∠T ≅ ∠S 6. CPCTC
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Answer:
[tex]\large\begin{array}{|l|l|}\cline{1-2}\sf Statement&\sf Reason\\\cline{1-2}1.\;\textsf{$U$ is the midpoint of $ST$}&1.\;\sf Given\\\cline{1-2}2.\;RT \cong RS&2.\; \sf Given\\\cline{1-2}3.\;TU \cong SU & 3.\; \sf De\:\!finition\;of\;a\;midpoint\\\cline{1-2}4.\;UR=UR&4.\;\sf Reflexive\;property\\\cline{1-2}5.\; \triangle TUR \cong \triangle SUR&5.\;\sf Side-Side-Side\;(SSS)\\\cline{1-2}6.\;\angle T \cong \angle S&6.\;\sf CPCTC\\\cline{1-2}\end{array}[/tex]
Step-by-step explanation:
Midpoint
The point that is halfway between the endpoints of the line segment.
Reflexive Property
For every number a:
a = aSide-Side-Side (SSS) Congruence Theorem
If all three sides of one triangle are equal to all three corresponding sides of another triangle, then the two triangles are congruent.
Corresponding parts of congruent triangles are congruent (CPCTC)
If two or more triangles are congruent, their corresponding angles and sides are congruent.
[tex]\large\begin{array}{|l|l|}\cline{1-2}\sf Statement&\sf Reason\\\cline{1-2}1.\;\textsf{$U$ is the midpoint of $ST$}&1.\;\sf Given\\\cline{1-2}2.\;RT \cong RS&2.\; \sf Given\\\cline{1-2}3.\;TU \cong SU & 3.\; \sf De\:\!finition\;of\;a\;midpoint\\\cline{1-2}4.\;UR=UR&4.\;\sf Reflexive\;property\\\cline{1-2}5.\; \triangle TUR \cong \triangle SUR&5.\;\sf Side-Side-Side\;(SSS)\\\cline{1-2}6.\;\angle T \cong \angle S&6.\;\sf CPCTC\\\cline{1-2}\end{array}[/tex]
Which statement correctly represents the distance between points E and F?
The statement that correctly represents the distance between points E and F is
d = √(0-0)² + (0 − 6)² + (5 − 5)²How to find distance between two points in x-y-z coordinate systemThe distance between points measured as d between two points in the x y z coordinate system is given by
d = √{(x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²}
From the graph point E = (0, 0, 5) and F = (0, 6, 5)
comparing the points to (x, y, x), the points are substituted and it written as
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Answer:
the answer is the second
Step-by-step explanation:
I took the quiz
Suppose a college student pays $1100 for tuition fees. However, she also has to pay $225 for her textbooks (ouch!). What percent of her total education costs does she pay for her books?
Answer: Her books represent percent (as a decimal) of her total costs.
Write your answer to the nearest tenth of a percent, but in decimal form. For example, for 34.67%, you would round to 34.7% and enter .347 as your answer.
The percentage she spends on books from her total edducational expenses is 0.17
What is Percentage?
A percentage is a fraction of a whole represented as a number between 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent. To calculate a percentage, divide the share of the total by the total and multiply by 100.
Solution:
Assuming there are only these two expenses on education,
the total expenses are 1100 + 225 = $1325
amount the student pays on books = $225
Percentage = (225/1325) * 100
Percentage = 16.98% = 17% (approx)
So, the final answer is 0.17
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Express 675 dam in cm
Expressing 675dam is 675000cm
What is a centimeter?A centimeter (American spelling centimeter, symbol cm) is a unit of length that is equal to one hundredth of a meter, the current SI base unit of length. A centimeter is part of a metric system.
What is a decameter?A decameter (American spelling: dekameter, symbol: dam) is a measurement of distance equal to ten meters. This measure is included mostly for completeness
0.001. dam in 1 cm
Formula:
dam x 1,000 = cm
675 dam x 1,000 = 675,000 cm
Therefore, 675 dam is equal to 675000cm
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value iteration is guaranteed to converge if the discount factor 0 < γ < 1.
a. true
b. false
It is TRUE to state that w/ a discount factor less than 1, value iteration is guaranteed to converge.
What is a discount factor?The discount factor ranges from 0 to 1. To represent the importance of a reward R that happens N steps in the future from the current state, multiply it by γⁿ. Consider γ= 0.9 and a reward R = 10 that is three steps ahead of our current condition.
Hence, it is correct to indicate that value iteration is assured to converge if the discount factor 0 < γ < 1.
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Full Question:
For an infinite horizon MDP w/ a finite # of states and actions and w/ a discount factor γ that satisfies 0 < γ < 1, value iteration is guaranteed to converge.
a. true
b. false
Which group contains numbers that all round most closely to 1? 1 (1 /5, 2/9, 4/8,)
2 (10/11, 5/6, 7/9,) 3(3/5, 2/4, 4/7,) 4(1/2, 2/7, 9/10,)
The group that contains numbers that all round most closely to 1 is group 2 (10/11, 5/6, 7/9,)
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, it should be noted the group 2 that has 10/11, 5/6, and 7/9 are close to 1.
Therefore, the correct option is B.
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QUESTION 3
Solve the following using the correct order of operations
70+(3-11)/6+8x42
Answer:
≈ 404.6666667
Step-by-step explanation:
70 - 8 ÷ 6 + 8 x 42
70 - 1.33333333 + 8 x 42
70 - 1.33333333 + 336
68.6666667 + 336
404.6666667
Miguel drove for 8 hours at a constant rate. He drove a total of 424 miles.
Donna also drove at a constant rate. This table shows the number of miles she had driven in different numbers of hours.
How do the unit rates compare?
Select from the drop-down menus to correctly complete the statement.
Miguel has a
Choose...
unit rate of change than Donna because
Choose...
is greater than
53 mph
.
Number of hours Total miles driven
3 144
6 288
9 432
Miguel has a higher unit rate of change than Donna because 53mph is greater than 48mph.
What is unit rate?The unit rate is used to show the relationship between the variables illustrated. Since Miguel drove for 8 hours at a constant rate and drove a total of 424 miles. The rate will be:
= 424 / 8
= 53 miles per hour.
The unit rate for Donna will be:
Miles / Time
= 144 / 3
= 48 miles per hour.
Therefore, Miguel has a higher rate.
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Question 7 of 10
The amount of time it takes to complete a reading assignment might be a
function of which of the following?
OA. The number of pages in the assignment
OB. The cost of the book
OC. The year the book was published
Answer:
A. The number of pages in the assignment
Step-by-step explanation:
You want to know which of several possibilities the amount of time it takes to complete a reading assignment might be a function of: pages, cost, age of the book.
CorrelationWe expect that an assignment to read more pages will result in a longer completion time. While there might be different completion times for the same number of pages in different assignments (relation not a function), the relation might be a function for assignments in the same book.
There are many factors affecting the cost of a book, including the materials it is made of, the number of printed copies, the difficulty of providing the necessary typesetting and illustrations. These factors may also affect the time it takes to read an assignment. In general, we don't expect that a given number of pages in a book costing $20 will take longer to read than in a book costing $10 or $50. That is, we don't expect completion time to be a function of the cost of the book.
As with book cost, the year of publication may also have a relationship with readability. Older books may use different language, unfamiliar terminology, more (or less) complex illustrations, different typography. These may have a bearing on the time it takes to complete a reading assignment. However, if the same material is presented in the same way in a book published in 1900 versus 2000, we don't expect the assignment completion time to change.
The time it takes to complete a reading assignment is most likely to be a function of the number of pages in the assignment (other factors being equal).
Alika scored -3, 8, 9, -7, and 13. What integer represents her average score for the 5 rounds?
Answer:
4
Step-by-step explanation:
-3 + 8 + 9 + (-7) + 13 = 20
20/5 = 4
A $1100 certificate of deposit held for 51 days was worth $1110.44. What simple interest rate was earned? Assume a
360-day year.
The certificate of deposit earned an interest rate of %
The interest rate is 6%.
What is an interest rate?
The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate. The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.
Here,
It is given the initial amount was $1100 and after 51 days, it was worth $1110.44.
The interest can be calculated as follows:
Interest = $1110.44 - $1100
= $ 10.44
Now, we find the simple interest
I = PRT
I = 10.44
P = $1100
T = 51 days
R =?
We put the given value in the formula and get
10.44 = (1100 ×51 ×R)/360
R = 0.066 × 100%
R = 6%
Hence, the interest rate is 6%.
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5. Which expression is equivalent to rm÷r? (4 points)
Om-n
Om+n
Om-nks
Om÷n
6. Part A: Find a rational number that is between 7.7 and 7.9. Explain why it is rational (?
The expression which is equivalent to rm ÷ rn exists rm − n.
What is meant by mathematical expression?A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific rules.
A mathematical expression is a phrase that includes at least two numbers or variables, at least one math operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.
Combining operators, constants, and variables creates an expression. One or more operands, 0 or more operators, and a value can all be part of an expression.
Let the expression be rm ÷ rn
[tex]$=\frac{r m}{r n}=\frac{m}{n}$[/tex]
simplifying the above equation, we get
[tex]$r^m \div r^n$[/tex]
[tex]$=\frac{r^m}{r^n}=r^{m-n}$[/tex]
Therefore, the correct answer is option A. rm − n.
The complete question is:
Which expression is equivalent to rm ÷ rn? (4 points)
A. rm − n
B.rm + n
C. rm ⋅ n
D.rm ÷ n
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A t-shirt increased in price by 1/4
After the increase it was priced at £65.
What was the original price of the t-shirt?
Answer:
£52 was the original price
Step-by-step explanation:
Analyze the worked example for the multiplication of three binomials. a. Use a graphing calculator to verify graphically that the expression in factored form is equivalent to the product written in standard form. b. Will multiplying three linear factors always result in a cubic expression? Explain your reasoning.
where is the example? What are the binomials?- or do we use any three?
I NEED HELP ASAP WITH THIS QUESTION
Answer:
Step-by-step explanation:
The answer is C.
1 minute = 11/2 pounds
a day= 1440 minutes = 11/2 × 1440 = 7920 pounds
Which of the following are partial products for 43 × 17?
A.3
B.21
C.28
D.40
E.400
The options that are partial products for 43 × 17 include:
B. 21
E. 400
How to find the partial products?We want to find the partial products of 43 x 17
Since 43 = 40 + 3
and 17 = 10 + 7
Then
43 x 17 = (40 + 3) x (10 + 7)
We find all the partial products by multiplying one term of the first addition with one term of the second:
43 x 17 = (40 + 3) x (10 + 7)
= (40 x 10) + (40 x 7) + (3 x 10) + (3 x 7)
= 400 + 280 + 30 + 21
The options are B and E.
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PLease help me i willlllllllllll faillllllllllllllif someone dont
The scenario with the greater speed is scenario 1, then the correct option is C
"Scenario 1 because the slope is 60"
Which scenario shows a greater speed?
Remember that speed is defined by:
distance = speed*time
On scenario 2 we have the linear equation:
y = 50*x
Where y is distance and x is the time in hours, so the speed is 50 miles per hour.
If we look at the graph, we can see a proportional relationship also of the form y = k*x
Where the slope k is the speed.
The first graphed point is (1, 60), then:
60 = k*1
60/1 = k
So here the speed is 60 miles per hour.
Then the correct option is C, the speed in scenario 1 is greater.
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I need quick help! I just want know if this is correct! Will give brainliest to the first correct answer.
Convert 195 ml to liters using unit fractions
Converting 195 ml to liters using unit fractions is 39/200.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
It should be noted that 1000 millimeters = 1 liters
Therefore, 195 ml to l will be:
= 195 / 1000
= 39/200
Therefore, it is 39/200.
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please help me solve the surface area
solve the system for the subsitution
x-4y=-8
5y-1=x
Answer:
X=-36
Y=-7
Step-by-step explanation:
If 5y-1=x
then you can substitute x into the first equation
x-4y=-8
as we know x=5y-1 then
(5y-1)-4y=-8 is true
5y-4y is just y
so we are left with y-1=-8
add 1 to both sides
y=-7
substitute this into other equation
5(-7)-1=X
-35-1=X
X=-36
Question 3 (4 points)
An attorney charges a fixed fee for an initial meeting and an hourly fee for all hours worked after this meeting. She charges $1750 for an initial meeting and $300 every hour worked. Create an equation that can be used to find y, the total cost of an attorney, if x represents the number of hours worked. How much would she charge for 1 hour? 20 hours?
Equation:
1 hour of work:
20 hours of work
The equation is y = 300x + 1,750. And the total cost after 1 hour and 20 hours of work will be $2,050 and $7,750, respectively.
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.
A lawyer charges a proper expense for an underlying gathering and an hourly charge for the entire hours worked after this gathering. She charges $1750 for an underlying gathering and $300 consistently worked.
Let 'x' be the number of hours and 'y' be the total cost. Then the equation is given as,
y = 300x + 1750
The total cost after 1 hour of work will be
y = 300 (1) + 1,750
y = 2,050
The total cost after 20 hours of work will be
y = 300 (20) + 1,750
y = 7,750
The equation is y = 300x + 1,750. And the total cost after 1 hour and 20 hours of work will be $2,050 and $7,750, respectively.
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Substitute the given values into the given formula and solve for the unknown variable. If necessary, round to one decimal place.
P=a+b+c; P=36, a=11, b=10 (Perimeter of a triangle)
c=
Answer:
c = 15
Step-by-step explanation:
P = 36; a = 11; b = 10
P = a + b + c
36 = 11 + 10 + c
36 = 21 + c
Subtract 21 from both sides.
15 = c
c = 15
The Gateway Arch in St. Louis is often mistaken to be a parabolic in its shape. In fact, it is a catenary, which has a more complicated formula than a parabola. Note that the Arch is 625 feet high and 598 feet wide at its base. Find the equation of the parabola with the same dimensions.
Answer:
Below
Step-by-step explanation:
A parbola with zeroes at 0 and 598 would look like this:
f(x) = a ( x-0)(x-598) at the midpoint 299 the value is 625
625 = a (299) (299-598) shows a = - 625/89401
-625/89401 (x)(x-598) <======expand as necessary
Please help, I’ll mark your answer as brainliest.
The human brain has approx 100 billion neurons on average and many more neuroglia that nourish and protect the neurons.
What are synapses?The places of contact within neurons are known as synapses which is where data is transferred from one cell to the next.
As we know, from the definition of synapses, synapses which is where data is transferred from one cell to the next.
Also, the human brain has approximately 100 billion neurons on average and many more neuroglia that nourish and protect the neurons.
Thus, the human brain has approx 100 billion neurons on average and many more neuroglia that nourish and protect the neurons.
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Suppose it takes John 10 minutes to run1 mile. How long would it take if he to run 4 kilometers