Answer:
Step-by-step explanation:
Answer: 4.631*10^5
Step-by-step explanation:
463,100=
400,000+63,100=
4*100,000+(63,100/100,000)*100,000=
4*10^5+(631/1000)*10^5=
4*10^5+0.631*10^5=
(4+0.631)*10^5=4.631*10^5
The value of exponents when 463,100 is written in scientific notation is 5.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
Scientific notation is a way to represent numbers in exponents form of 10
For example 2.245 × 10³
Given that,
Number of books in library = 463,100
Multiply and divide by 10⁵
⇒ 463,100 × 10⁵/10⁵
⇒ 4.63100 × 10⁵
Hence "The value of exponents when 463,100 is written in scientific notation is 5".
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A region’s average movie theater ticket price in 2007 was $6.51. For 2017, it was estimated to be $8.57. Find the percent of increase in average movie theater ticket price
If a region’s average movie theater ticket price in 2007 was $6.51. For 2017, it was estimated to be $8.57, the percent of increase in average movie theater ticket price is 16%
A region's average movie ticket price in 2007 was $6. 51
A region's average movie ticket price in 2017 was $8. 57
Increase in price = 8.57 - 6. 51 = $1.06
Percentage of increase = (increase in price / original price)*100
= (1.06/6.51)*100
16%
If a region’s average movie theater ticket price in 2007 was $6.51. For 2017, it was estimated to be $8.57, the percent of increase in average movie theater ticket price is 16%
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Suppose you have $5000 to invest. A certificate of deposit (CD) earns 6% annual interest, while bonds are much riskier,
earn 8% annual interest. You decide to invest $2000 in a (CD) and the balance in bonds. How much interest would you have
earned at the end of one year? How much interest would you have earned compounded annually after 2 years?
Get the first year interest. Also, calculate the second year interest then add it to the first to get total interest after 2 years.
Remember: Interest - Principal x Rate x Time
A. $360, $794.40
B. $120, $240
C. $360, $746.40
Answer:
b
Step-by-step explanation:
earned at the end of one year? How much interest would you have earned compounded annually after 2 years?
Get the first year interest. Also, calculate the second year interest then add it to the first to get total interest after 2 years.
Remember: Interest - Principal x Rate x Time
Sally can paint a room in 6 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answer:
2 hours
Step-by-step explanation:
Rate_Sally=1/3, Rate_Steve=1/6, Rate_Together=Rate_Sally+Rate_Steve;
T_Together=1/Rate_Together
=1/(1/3+1/6)=1/(1/2)=2 hours
arrange the following in ascending order 1/3 , 3/4 , 5/12 ,2/8
The ascending order is: 2/8 < 1/3 < 5/12 < 3/4.
What is termed as the ascending order?The configuration of numbers or even other items in order of increasing from smallest to largest is referred to as ascending order. Ascending order is represented by numbers that show up on a number line from left to right. We generally represent it with commas or by using the 'less-than symbol (<)' between numbers. For instance, 1, 2, 3, 4, 5 or 1 < 2 < 3 < 4 < 5.The given order is;
1/3 , 3/4 , 5/12 ,2/8
Write the values in the decimal forms;
0.33, 0.75, 0.416, 0.25.
Now arrange the sequence is the ascending order;
0.25, 0.33, 0.416, 0.75
Again transform them in fraction form;
2/8 < 1/3 < 5/12 < 3/4
Thus, the ascending order is found as 2/8, 1/3, 5/12, 3/4.
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The cost of a school banquet is $95 plus $15 for each person attending. Write an equation
that represents the relationship between the total cost and number of people attending.
Answer:
95 + (15 x n) n = number of people attending
Step-by-step explanation:
the Price will vary based on how many people attend the wedding, so if the variable n represents the number of people attending you only need to times that by 15$ and then add the original 95$
What ia the answer for 4.5 gl to dl
Answer: 45,000,000,000 dl
Step-by-step explanation:
10,000,000,000 dl=1 gl
4.5 gl * 10,000,000,000 dl/1 gl =
4.5 * 10,000,000,000 dl = 45,000,000,000 dl
PLEASE ANSWERING THIS QUESTION!
By completing the square, the expression [tex]\sf{x^2-12x+101}[/tex] equals (x+A)^2+B
where A = (Blank)
and B = (Blank)
Show your work!
Do not spam answers!
Explain your answer!
Thanks!
The given expression expressed in the form (x+A)^2+B is (x - 6)² + 65
A = -6 and B = 65
Completing the squareFrom the question, we are to express the given expression in the form (x + A)^2+B by completing the square
The given expression is
x² -12x + 101
Using the completing the square method
x² -12x + 101
Divide the coefficient of x by 2 and then square it
The coefficient of x is -12
Dividing by 2, we get
-12/2 = -6
Squaring
(-6)²
Now, add and subtract this value from the expression
x² -12x + (-6)² + 101 - (-6)²
Then, we can write that
(x - 6)² + 101 - (-6)²
(x - 6)² + 101 - 36
(x - 6)² + 65
Thus,
The given expression expressed in the form (x+A)^2+B is (x - 6)² + 65
By comparison,
A = -6
and
B = 65
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Can someone help me with this please?
Answer:
1)
D) -5<x≤-2
R) 0<y≤3
2)
D) 1≤x≤5
R)2≤y≤4
Step-by-step explanation:
(Only in 7th so might be wrong)
1)
D) -5<x≤-2
R) 0<y≤3
2)
D) 1≤x≤5
R)2≤y≤4
look at the range of where the x and y is at (1-2 included = 1<x≤2)
The sale price of a new refrigerator is $705 and sales tax is figured at 0.05 times the price. What is the total amount paid for the refrigerator?
The amount paid for the refrigerator is $740.25.
How to calculate the price?From the information, the sale price of a new refrigerator is $705 and sales tax is figured at 0.05 times the price.
The price of the refrigerator will be:
= $705 + (0.05 × $705)
= $705 + $35.25
= $740.25
Therefore, the amount paid for the refrigerator is $740.25
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Are 12 17 and 14 19 determined ratio are proportional
No, 12 17 and 14 19 determined ratio are not proportional.
What are proportional ratios?If two ratios depict the same connection, they are said to be proportionate. By writing two ratios as fractions and then reducing them, one may determine if they are proportionate. Your ratios are proportional if the reduced fractions are equal.
We can observe that 17 and 19 are prime numbers,
So, 12 : 17 cannot be simplified further,
Neither 14 : 19 can be simplified.
⇒ 12 : 17 ≠ 14 : 19
∴ We can say that 12 17 and 14 19 determined ratio are not proportional.
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Carly tutors students in math on the weekends and offers both thirty-minute sessions and sixty-minute sessions. She earns $15 for each
thirty-minute session and $25 for each sixty-minute session.
If she earned $230 this past weekend and had x thirty-minute sessions and x - 2 sixty-minute sessions, what is the value of x?
A 7
B. 5
C. 8
D. 6
The value of x is 7. The correct option is A. 7
Solving Linear equationsFrom the question, we are to determine the value of x
From the given information,
Carly earns $15 for each thirty-minute session and $25 for each sixty-minute session
Also,
She earned $230 this past weekend and had x thirty-minute sessions and x - 2 sixty-minute sessions
Then, we can write that
x × $15 + (x -2) × $25 = $230
Solve for x in the equation
15x + 25(x -2) = 230
15x + 25x - 50 = 230
40x - 50 = 230
40x = 230 + 50
40x = 280
x = 280/40
x = 7
Hence, the value of x is 7. The correct option is A. 7
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Answer:
B. 7
Step-by-step explanation:
Correct on edmentum!
You are getting ready to open a new bank account.
Create a list of 10 things that are the most important things to research and consider before choosing the bank or financial institution you would like to do business with.
The factors to consider before choosing a bank are;
1) The security of your funds.
2) The type of account you want to open.
3) The cost of hidden fees such as annual fees, transfer fees, and other service fees.
4) The banks interest rates.
5) Cash Limits
6) Online Banking.
7) Trust factor.
8) Location of the bank
9) Credit Unions
10) Opportunity of free checks
What are the factors to consider when choosing a bank account?
The factors to consider before choosing a bank are;
1) The security of your funds; This is important so that your funds are well protected against any type of fraud.
2) The type of account you want to open; This is also key because of operations.
3) The cost of hidden fees such as annual fees, transfer fees, and other service fees.
4) The banks interest rates; This is important as one would like a higher interest rates on his savings.
5) Cash Limits; This is important because some banks have a withdrawal limit per day.
6) Online Banking; This is important as banking is now global and as such online presence is very key.
7) Trust factor; You need to be able to trust this bank enough to put your money there.
8) Location of the bank
9) Credit Unions
10) Opportunity of free checks
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The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?
g(x) = (x – 2)2 + k
g(x) = (x + 8)2 + k
g(x) = (x – h)2 – 5
g(x) = (x – h)2 – 15
If the axis of symmetry for g(x) is located 2 units to the right of the origin, then the function g(x) = (x-2)2 +k describes this relationship. The best choice would be A in this case.
What exactly is a function?The function is a statement, rule, or law that specifies the connection between one variable and another variable. It does this by comparing and contrasting the two variables.
Functions may be found almost everywhere, and creating links between physical objects requires their use.
Given
The answer to the question f(x) is.
(x+3)^2 -10
The left side by three units serves as the axis of symmetry for the function f(x).
The axis of symmetry for g(x) may be found five units to the right of where f is located (x).
If this is the case, the axis of symmetry for g(x) will be found 2 units to the right of the origin.
After that, the expression for g(x) will be g(x) = (x-2)2 +k.
Therefore, option A is the one to choose.
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Find (-18) + (-25) + 13
Answer: -30
Step-by-step explanation:
Answer:
the answer would be -30!!!
Step-by-step explanation:
i took the quiz.
find the number subsets of A? if A=(1,2,3,4)
The number of subsets of A is 16
How to calculate the subset ?Given that the numbers in the subset are 1,2,3,4
The number of elements are 4
The number of subsets can be calculated as follows
2⁴
= 16
Hence the number of subsets of A is 16
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1. Which statement correctly describes the perpendicular bisector construction below?
Answer:
option c is correct....
Perform the indicated operation
7 1/8 ∙ 5 2/3
four times the square of a number increased by five times the same number
Answer:
4n^2 + 5n.
Step-by-step explanation:
If the number is n, then:
4n^2 + 5n.
What is the slope or pitch of this roof? 12 feet run rise 3 feet
Math 1332
Answer:
3/12 or 1/4 in simplest fraction form
Step-by-step explanation:
Slope is given by the formula rise/run
Here rise = 3, run = 12
So slope = 3/12 = 1/4
Suppose g ( x ) = √ x − 3 / x − 11 . what is the domain of g?
The domain of the function g ( x ) = √ x − 3 / x − 11 is R - 11.
What does a function's domain entail?Inputs are assigned outputs by functions. The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.
How do you determine a function's domain?Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.
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f(x) = -3x² - 2x
how to find f (8)
Answer:
f(8) = -208
Step-by-step explanation:
Apply 8 into the equation
f(8) = -3(8)² - 2(8)
= -192 - 16
= -208
8 will be your x value since it's implied within the question itself.
Answer:
-208
Step-by-step explanation:
Given function:
[tex]\text{f}(x)=-3x^2-2x[/tex]
To find f(8), substitute x = 8 into the function:
[tex]\begin{aligned}\text{f}(x) & =-3x^2-2x\\\implies \text{f}(8) & =-3(8)^2-2(8)\\& =-3(64)-2(8)\\& =-192-16\\& = -208\end{aligned}[/tex]
Therefore, f(8) = -208.
motorcycle maker, says that it expects to build 312,000 motorcycles this year, up from 290,700 last year. Find the percent of increase in production.
Explanation:
A = last year's value = 290,700
B = this year's value = 312,000
C = change in values
C = B - A
C = 312,000 - 290,700 = 21,300
The positive result shows the increase of 21,300 more motorcycles made this year, compared to last year. A negative C value would represent a percent decrease.
Divide this change over the original.
C/A = (21,300)/(290,700) = 0.07327141382869
which is approximate. Let's say we rounded to four decimal places to get 0.0733 which then converts to the percentage 7.33%
Find the measures of complementary angles with measures 9x+6 and 3x degress
Step-by-step explanation:
As we know that the value of Complementary angle is always 90°
9x° + 6° + 3x° = 90°
12x° + 6° = 90°
12x° = 90° - 6
12x° = 84°
[tex]x° = \frac{84°}{12°} \\ [/tex]
x° = 7°
☘️☘️☘️ ...
What is the answer to 10 2/3 x 5 3/8
Answer:
57.3
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{10 \dfrac{2}{3}\times 5\dfrac{3}{8}}[/tex]
[tex]\mathsf{= \dfrac{10\times3 + 2}{3}\times\dfrac{5\times8 + 3}{8}}[/tex]
[tex]\mathsf{= \dfrac{30 + 2}{3} \times \dfrac{40 + 3}{8}}[/tex]
[tex]\mathsf{= \dfrac{32}{3}\times \dfrac{43}{8}}[/tex]
[tex]\mathsf{=\dfrac{32\times43}{3\times 8}}[/tex]
[tex]\mathsf{= \dfrac{172}{3}}[/tex]
[tex]\mathsf{= 57\dfrac{1}{3}}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{57\dfrac{1}{3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Each graph shows a relation. The first and second numbers of each ordered pair in the relation are members of the set of real numbers. In each case, find the domain and the range of the relation and determine whether the relation is a function.
Using it's concepts, we have that:
The domain of the relation is of -2 ≤ x ≤ -1.The range of the relation is of -2 ≤ y ≤ 2.Since each value of the input is mapped to only one value of y, it is a function.What are the domain and the range of a relation?The domain of a relation is the set that contains all possible input values for the relation. In a graph, it is given by the values of x.The range of a relation is the set that contains all possible output values for the relation. In a graph, it is given by the values of y.
Hence:
The domain of the relation is of -2 ≤ x ≤ -1.The range of the relation is of -2 ≤ y ≤ 2.When does a relation represents a function?
A relation represents a function when each value of the input is mapped to only one value of the output.
From this graph, we have that each value of x is mapped to only one value of y, that is, there are no vertically aligned points, hence the relation is a function.
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Find a linear equation whose graph is the straight line with the given properties.
through (1, 4) with slope 6
Answer:
y = 6x - 2
Step-by-step explanation:
We will use the slope-intercept form of a line to help us. We know the slope, we need to determine the y-intercept. To find this, we need an x and y on the line and the slope. Fortunately, they have given us all of the information. An ordered pair is in the form (x,y) So we will use x = 1 and y = 4 from the point they have given us (1,4) They have also given us the slope of 6. We will plug this all into our equation and solve for b the y-intercept.
y = mx + b
4 = 6(1) + b
4 = 6 + b Subtract 6 from both sides of the equation.
-2 = b
Now, write the equation
y = mx + b
y = 6x -2
1. Identify the error.
Determine the coordinates for A' after a
reflection over the x-axis.
B
D
The coordinates for A' will be (3, 1).
(3, -1)
Any point can be located using a Cartesian coordinate system or coordinate system, and that point can be displayed as an ordered pair (x, y) known as Coordinates. The origin, denoted by the letter "O," is the point where the two number lines intersect. The horizontal number line is known as the X-axis, and the vertical number line is known as the Y-axis.
Reflection of a coordinate in x-axis, negates the y - coordinate.
So, negation of 1 = -1
So, the new coordinate is ( 3, -1)
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Consider the equation 5x + 8y = 24, A line parallel to the above line would have a slope of:
Answer:
Any line with a slope of -5/8 would be parallel to this line.
Step-by-step explanation:
First write this in the slope intercept form of a line
y = mx + b. The number before the x will be the slope.
5x + 8y = 24 Subtract 5x from both sides of the equation
8y = -5x +24 Divide everything by 8
y = -5/8x + 3
all
S
ants
mber
4. FIELD TRIP The sixth-grade teachers
collected money from students during
three days for theater tickets to a
play. The ticket cost a whole number
of dollars. If every student paid the
same amount, what is the most the
tickets could cost per student?
Monday
Tuesday
Wednesday
$64
$36
$52
Answer:
Monday.
Step-by-step explanation:
total money = the cost of one day x the number of students
$64 > $52 > $36
$64 is the greatest, so the correct answer is monday.
Graph the following figure in the coordinate plane. Find the perimeter. X(0,1), Y(4, -2), Z(-5, -2)
The perimeter of the figure is 8 + √14 units
How to graph the figure in the coordinate plane and find the perimeter?The coordinates are given as
X(0,1), Y(4, -2), Z(-5, -2)
Next, we plot the above coordinates on a coordinate plane
See attachment for the plot of the coordinates on a coordinate plane
Next, we calculate the distance between the points using
d = √(x2 - x1)^2 + (y2 - y1)^2
So, we have
XY = √(0 - 4)^2 + (1 + 2)^2 = 5
XZ = √(0 + 5)^2 + (1 + 2)^2 = √14
YZ = √(4 + 5)^2 + (-2 + 2)^2 = 3
The perimeter is calculated as
P = XY + XZ + YZ
So, we have
P = 5 + √14 + 3
Evaluate
P = 8 + √14
Hence, the perimeter of the figure is 8 + √14 units
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