Answer: 3.19176 * 10^3
Step-by-step explanation:
Step 1: Subtract 3,375.9 from 6,567.66 = 3191.76
Step 2: Convert 3191.76 to scientific notation
Note: The purpose of scientific notation is to make big numbers into small numbers by moving the decimal point and then showing how many decimal places you moved by using powers of ten.
Step 3: Move the decimal 3 places to the left, and multiply by 10^3.
3.19176 * 10^3
When solving an equation, Anne's first step is shown below. Which property justifies Anne's first step?
\text{Original Equation:}
Original Equation:
7x^2+(8x^2+1) =
7x
2
+(8x
2
+1)=
\,\, 6x^2-5
6x
2
−5
\text{First Step:}
First Step:
15x^2+1 =
15x
2
+1=
\,\, 6x^2-5
6x
2
−5
The first step that justifies Anne's first step while solving the expression is the commutative law of addition.
Given the equation solved by Anne's expressed as;
\(7x^2+(8x^2+1)\)
To get the first step, we will use the commutative property of Addition as shown:
\(7x^2+(8x^2+1)\\= 7x^2+8x^2+1\\=8x^2+7x^2+1\\= 15x^2 + 1\)
Hence the first step in the justification is the commutative law of addition.
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4s4 17s2 14s 2 = (2s3 3s2-4s 1)(x)
The required difference of the polynomial functions is -9s^2 + 4s - 2
Given the following difference of polynomial expressed as:
(–6s2 + 12s – 8) – (3s2 + 8s – 6)
We are to find the difference
(–6s2 + 12s – 8) – (3s2 + 8s – 6)
Expand
–6s^2 + 12s – 8 - 3s^2 - 8s + 6
Collect the like terms
–6s^2- 3s^2 + 12s - 8s - 8 + 6
-9s^2 + 4s - 2
Hence the required difference of the polynomial functions is -9s^2 + 4s - 2
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complete question
Find each difference.
(–6s2 + 12s – 8) – (3s2 + 8s – 6) =
–9s2 + 4s – 14
–9s2 + 4s – 2
–9s2 + 20s – 14
–9s2 + 20s – 2
Chase and Simon (1973) studied the memory of chess novices and experts for positions of chess pieces on a chessboard. Although experts generally have a far better memory for chess positions than do novices, they found that the novices performed as well or better than the experts when asked to recall random arrangements of chess pieces on the chessboard. The random arrangements included arrangements that could not possibly occur in a real game of chess. Why did novices do as well as experts when the pieces were arranged at random
Chase and Simon (1973) conducted a study on the memory of chess novices and experts for positions of chess pieces on a chessboard. They found that although experts generally have a better memory for chess positions than novices, novices performed equally or even better than experts when asked to recall random arrangements of chess pieces on the chessboard, even if the arrangements couldn't occur in a real game of chess.
One possible explanation for this phenomenon is that experts rely heavily on their knowledge of typical chess positions and patterns to remember the positions of the pieces. However, when the pieces are arranged randomly, these patterns are disrupted, and experts may struggle to apply their existing knowledge effectively. On the other hand, novices may not have developed strong patterns or strategies yet, so they approach the task with a more flexible mindset and are less affected by the random arrangement. They may use more general memory strategies, such as chunking or grouping the pieces together, which can be useful for recalling random arrangements.
In summary, novices may perform as well as experts when the pieces are arranged randomly because they rely less on established patterns and can use more general memory strategies to recall the positions.
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Which values are solutions to the inequality below?
Check all that apply.
Sqrt x > 8
Answer:
64 is the right answer of your question
f(x) = x² + 3
Find f(-2)
Answer:
7
Step-by-step explanation:
\(f(-2)=(-2)^2+3=4+3=7\)
find the area if the figure
Answer:
Might be wrong but try 47.5ft^2
Step-by-step explanation:
(3*2)/2=3
(3*3)/2=4.5
3+4.5+(4*10)=47.5
$20,000 is invested at a rate of 5% and is compounded simi-annually. What will
be in the account after 5 years? *
a.25601.69
b. 26897.78
c. 28259.48
d. 29690.11
Answer:
A
Step-by-step explanation:
Nine times the sum of a number and 26 is at most -25
Answer:
x ≤ -259/9
Step-by-step explanation:
Change into a number equation 9(x + 26) ≤ -25
The table below shows the relationship between x and y. What value of y is missing from the table?
Answer:
1/36
Step-by-step explanation:
Y= x^2
Hope this helps!
Answer:
1/36.
Step-by-step explanation:
The values of y are the squares of x.
y = x^2.
So the missing value of y is (1/6)^2 = 1/36.
What is the point-slope form of a line that has a slope of 5 and passes through the point 3/4 )? Y 3 5 x 4 )]?
The point-slope form of the line is y - (3/4) = 5(x - (3/4)).
The point-slope form of a line is written as y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line. To find the point-slope form of a line that has a slope of 5 and passes through the point (3/4, 3/4), we can plug in the values for the slope and the point into the point-slope formula. This gives us y - (3/4) = 5(x - (3/4)). This is the point-slope form of the line.
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A model of a building is
constructed using a scale of
1 inch : 4.5 feet. If the model is
12 inches tall, then the actual
building is feet tall.
Answer:
54 feet tall
Step-by-step explanation:
12x4.5=54
4. (NO CALC) Consider the differential equation dy/dx = x²-½y.(a) Find d²y/dx² in terms of x and y.
In summary d²y/dx² in terms of x and y is given by: d²y/dx² = 3/2 x + 1/4 y
Why is it?
To find d²y/dx², we need to differentiate the given differential equation with respect to x:
dy/dx = x² - 1/2 y
Differentiating both sides with respect to x:
d²y/dx² = d/dx(x² - 1/2 y)
d²y/dx² = d/dx(x²) - d/dx(1/2 y)
d²y/dx² = 2x - 1/2 d/dx(y)
Now, we need to express d/dx(y) in terms of x and y. To do this, we differentiate the original differential equation with respect to x:
dy/dx = x² - 1/2 y
d/dx(dy/dx) = d/dx(x² - 1/2 y)
d²y/dx² = 2x - 1/2 d/dx(y)
d²y/dx² = 2x - 1/2 (d²y/dx²)
Substituting this expression for d²y/dx² back into our previous equation, we get:
d²y/dx² = 2x - 1/2 (2x - 1/2 y)
d²y/dx² = 2x - x/2 + 1/4 y
d²y/dx² = 3/2 x + 1/4 y
Therefore, d²y/dx² in terms of x and y is given by:
d²y/dx² = 3/2 x + 1/4 y
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In the equation 80 divided by 10 equals 8, the number 80 is the…. A: dividend. B: quotient. C: divisor. D: remainder.
Answer:
he dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.
Step-by-step explanation:
6) Use any of the digits 1, 3, and 9 and the operation signs +, -, x, to write all the whole numbers from 1 through 13. Each digit can be expressed only once in each example. You can use other digits in the expression, but you must also use a 1, 3, or 9 at least once in each expression.
Example: The first three (3) have some examples for you.
Number
a) 1
Expression
2 - 1 OR 3 - 2
b) 2
3 - 1
c) 3
3 x 1 OR 9 3
d) 4
e) 5
f) 6
g) 7
h) 8
i) 9
j) 10
k) 11
l) 12
m) 13
Answer:
1 = 1; 2 = 3 -1; 3 = 3; 4 = 3 +1; 5 = 9 -3 -1;
6 = 9 -3; 7 = 9 -3 +1; 8 = 9 -1; 9 = 9; 10 = 9 +1
11 = 9 +3 -1; 12 = 9 +3; 13 = 9 +3 +1
Step-by-step explanation:
You want the numbers 1 – 13 expressed in terms of the digits 1, 3, 9 using operations +, -, and ×.
Base 3The digits 1, 3, 9 represent the place values of numbers in base 3. This means we can use the base-3 representation of a number to give a clue as to how to represent it using these digits.
The digits of a base 3 number are 0, 1, 2. We don't have a 2 to work with, but we know that 2 = 3 -1, so we can use that fact. Here is an example:
5 = 12₃ = 1×3 + (3 -1)×1 = 3 +3 -1
= 20₃ -1 = (3 -1)×3 -1 = 9 -3 -1
After writing a few numbers, we notice the signs go in the progression +, -, 0 where 0 means the digit is not included. The attachment shows the sums that make the numbers 1–13.
__
Additional comment
We could, of course, use the allowed "other digits" to include 2. For example, ...
5 = 3 + 2×1
6 = 2×3
<95141404393>
7/8 divided by 1/3 as a reduced fraction
Add or subtract the measurements. You must include the units.
Answer:
a. 22 ft 5in
b. 24 ft 4in
c. 2 ft 8 in
Step-by-step explanation:
all you need to do is add and substract them and then chance the units.
In the figure, Line a is parallel
to line b. Name the angles
congruent to angle 3.
Answer:
angles 1, 5, 7
Step-by-step explanation:
∡1 = ∡3 reason: they are vertical angles
∡7 = ∡3 reason: they are corresponding angles
∡5 = ∡3 reason: they are same-side interior angles
what is the equation of the line through 0,0 and 8,4?
Answer:
y = (1/2)x
Step-by-step explanation:
Lets look for an equation of the form y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = zero). We can find the slope by calculating the Rise/Run between the two given points:
Going from (0,0) to (8,4):
Rise = (4-0) = 4
Run = (8-0) = 8
Slope = Rise/Run (4/8) or (1/2)
The equation becomes y = (1/2)x + b
We need a value of b that forces the line through both points. The point (0,0) actually tells us that b is 0, since b is the value of y when x=0. If we weren't ask lucky to get a point where x is zero, we could cacalute b by putting either point in the above equation and solving for b:
y = (1/2)x + b
4 = (1/2)*(8) + b for (8,4)
b = 0
The equation is y = (1/2)x
See the attached graph.
The minute hand of a clock moves from 12:10 to 12:30 a. How many degrees does the minute hand move during this time? b.How many radians does it move during this time?
Answer:
a. 120 degrees
b. 2.0944 radians
Step-by-step explanation:
From 12:00 to 12:15 there forms a 90 degree angle. If we divide this by 3 we get that every 5 minutes the hand moves 30 degrees. Since in this scenario, the minute hand moved from 12:10 to 12:30 it, therefore, moved a total of 20 minutes so we can do the following math
20 / 5min = 4 times
4 * 30 degrees = 120 degrees
We can see that in this time it moved a total of 120 degrees. Now we can use this value to turn it into radians using the degree to radians formula
degrees * \(\pi /180\) = radians
120 * \(\pi / 180\) = radians
2.0944 = radians
A sequence has a second term of 1 and a common difference of -3.
The fifth term of the sequence is
10
-5
-11
-8
Answer:
-11
Step-by-step explanation:
I don't know how to type Numerical using a cellphone
What is the answer to this question.
Which equation shows the correct use of the Distributive Property?
−4(32x−12)=−15
A. 6x + 4 = –15
B. 2x – 12 = –15
C. –6x – 2 = –15
D. –6x + 2 = –15
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Answer:
A
because if you divide them
Working efficiently, jordan can write 3 essays and outline 4 chapters each week. it must be true that?
It must be true that Jordan is a proficient writer who can efficiently write essays and outline chapters. This suggests that Jordan possesses good time organisation skills and is able to balance his workload effectively.
Working efficiently, Jordan can write 3 essays and outline 4 chapters each week. To determine what must be true, let's break it down step-by-step:
1. Jordan can write 3 essays each week.
This means that Jordan has the ability to complete 3 essays within a week. It indicates his writing capability and efficiency.
2. Jordan can outline 4 chapters each week.
This means that Jordan can create an outline for 4 chapters within a week. Outlining chapters is a task that requires organizing and summarizing the main points of each chapter.
Given these two statements, we can conclude the following:
- Jordan has the skill to write essays and outline chapters.
- Jordan's writing efficiency allows him to complete 3 essays in a week.
- Jordan's ability to outline chapters enables him to outline 4 chapters in a week.
It must be true that Jordan is a proficient writer who can efficiently write essays and outline chapters. This suggests that Jordan possesses good time management skills and is able to balance his workload effectively.
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What is the slope of the line represented by the equation y + 3 = -4(x-5)?
OA. 3
OB. 4
O C. -3
OD. -4
Answer:
-4
Step-by-step explanation:
if you graph it, we can find out two points are 0,17 and 1,13
we can find the slope from rise/run
-4 is the slope of the line represented by the equation y + 3 = -4(x-5)
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The equation of the line is y + 3 = -4(x-5)
We have to find slope
Let us simplify the equation to slope intercept form to find slope
y+3=-4x+20
y=-4x+17
Hence, -4 is the slope of the line represented by the equation y + 3 = -4(x-5)
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Choose any 2 states of India. Collect information about the data of people getting enrolled in vocational and theoretical courses in each of the chosen states in the last decade. Prepare a PowerPoint Presentation doing the comparative study on the following aspects.
● Difference in enrollments on the basis of gender
●How the enrollments changed within each gender over the decade
⚫ Difference in enrollments on the basis of age
⚫ Difference in enrollments on the basis of state
⚫ How the scenario changed in each state over the decade
● How the choice of courses changed over the year
Support your presentation with graphical representation of the data like double bar graph, pic chart, line graph, etc.
Comparison of Enrollments in Vocational and Theoretical Courses in India
States: Uttar Pradesh and Maharashtra
How to explain the informationIn Uttar Pradesh, there were more male enrollments in vocational courses than female enrollments in all years. The difference was more pronounced in the early years, but it has narrowed over time. In 2010, there were 2.5 times more male enrollments in vocational courses than female enrollments. By 2020, the ratio had decreased to 1.75.
In Maharashtra, the difference between male and female enrollments in vocational courses was smaller than in Uttar Pradesh. In 2010, there were 1.5 times more male enrollments in vocational courses than female enrollments. By 2020, the ratio had decreased to 1.25.
Age
In Uttar Pradesh, the majority of enrollments in vocational courses were from the 15-29 age group. In Maharashtra, the majority of enrollments in vocational courses were also from the 15-29 age group.
The data also shows that there are some differences in the enrollment patterns between the two states. In Uttar Pradesh, the majority of enrollments are from the 15-29 age group, and the most popular vocational courses are in the areas of IT, engineering, and healthcare. In Maharashtra, the majority of enrollments are also from the 15-29 age group, but the most popular vocational courses are in the areas of IT, hospitality, and manufacturing.
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i need help please this is due at 8
Answer:
\(use \: this \: formula \\ circumference = dimeter \times 3.14 = 2 \times radius \times 3.14 \\ \\ area = 0.25 \times {diameter}^{2} \times 3.14 = {radius}^{2} \times 3.14\)
Given the function f(x) =x+3 witch of the following represents f-1(x)?
Answer:
\(f^{-1}\)(x) = x - 3
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = x + 3 (subtract 3 from both sides )
y - 3 = x
Change y back into terms of x with x = \(f^{-1}\)(x) , thus
\(f^{-1}\)(x) = x - 3
Your weekly net income is $380. Your total budgeted monthly expenses $1. 550,00. Do you have a surplus or deficit balance at the end of the month?
We will have a Deficit balance of $30 at the end of the month.
"Unilateral transfer" is the term used to describe the balance of payments deficit's most obvious cause. For instance, Americans who contribute money to another country in the form of foreign aid do not receive anything in return (economically speaking). Few economists would argue that foreign aid-related balance of payment deficits are a "bad thing."
Weekly net income = $380
Monthly net income = $380 * 4 weeks = $1520.
Monthly expenses = $1550
Balance = Monthly income - monthly expenses = $-30.
The negative sign shows a deficit of $30 monthly
Therefore, We will have a Deficit balance of $30 at the end of the month.
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someone help me find x please!
If f(x) = 5x + 40, what is f(x) when x = -5?
Answer:
15
Step-by-step explanation:
you put -5 in place of the x the you multiply 5 times -5
then you subtract that from 40
so 40 - 25
The volume of a rectangular prism is 48 cubic meters. It is 6 meters long and 2 meters wide.
What is the area of the base of the prism?
Answer:
12m^2
Step-by-step explanation:
volume = 48 m^3
l*b*h = 48
12*h = 48
h = 4 m
baSe of prism will be made of l and b
so area is 12 m^2