Answer:
4.85 x 10^5
Step-by-step explanation:
First you want to find 5.6 x 10^5 into simplified form, which is 560000.
Then, you want to find 4.1 x 10^5 into simplified form, which is 410000.
Then you can add these numbers together to get 970000.
970000 into scientific notation is 9.7 x 10^5.
CORRECTION:
Answer should be based off of the AVERAGE viewers, not total.
Average viewers is 485000
485000 in scientific notation is 4.85 x 10^5
The average number of viewers over the two weeks are 4.85 x 10^5
A tv show had 5.6 x 10^5 viewers in the first week
and 4.1 x 10^5 viewers in the second week.
What is an average number:
This is the arithmetic mean, and is calculated by adding a group of numbers and then dividing by the count of those numbers.
To find the average number of viewers over the two weeks
Remove the decimal point.
5.6 x 10^5 write like this 560000
Similarly, 4.1 x 10^5 write like this 410000
Now, Solving the question
Therefore, the average will be
560000 + 410000
= 970000/2
=485000
=4.85 X 10^5
and 4.85 x 10^5
Thus , the average number of viewers over the two week 4.85 x 10^5
8X squared +4x-112=0
8x² + 4x - 112 = 0
To solve this equation, we can use the quadratic formula, as follows:
[tex]\begin{gathered} x_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x_{1,2}=\frac{-4\pm\sqrt[]{4^2-4\cdot8\cdot(-112)}}{2\cdot8} \\ x_{1,2}=\frac{-4\pm\sqrt[]{16+3584^{}}}{16} \\ x_{1,2}=\frac{-4\pm\sqrt[]{3600^{}}}{16} \\ x_1=\frac{-4+60}{16}=3.5 \\ x_2=\frac{-4-60}{16}=-4 \end{gathered}[/tex]Cindy and Cora are going to a movie. Cindy forgot her money and is going to pay Cora back later. The cost of the two tickets is $16.50 and a bucket of popcorn is $3.66. What is the total cost that Cora will pay for two tickets and one bucket of popcorn?
Answer: I think 10.08
$16.50 and a bucket of popcorn is $3.66
$16.50 + $3.66 = 20.16
20.16/2= 10.08
Tomas is leaving a tip of 18% of his original bill. If the amount of the tip is $2.34, what is the amount of the original bill? Do not place a dollar sign as it will not be needed for this question.
Explanation
We are given the following information:
• Tomas is leaving a tip of 18% of his original bill.
,• The amount of his tip is $2.34.
We are required to determine the amount of the original bill.
This can be calculated as:
[tex]\begin{gathered} Tip=18\%\text{ }of\text{ }Original\text{ }bill \\ 2.34=18\%\times Original\text{ }bill \\ 2.34=0.18\times Original\text{ }bill \\ Original\text{ }bill=\frac{2.34}{0.18}=13 \end{gathered}[/tex]Hence, the amount of the original bill is $13.
Answer the following The sign of a is : a. positive B .Zero C.Negative The value of h is given by h The value of k is given by k
Since the function is concave up, the leading coefficient a must be positive.
Then: The sing of a is positive
The function is expressed in its canonical form, where h and k are the x and y coordinates of the vertex, respectively.
We can check in the graph that the vertex coordinates are (-5,-4).
Therefore, we have:
The value of h is given by h = -5
The value of k is given by k = -4
Write a function $g$ whose graph represents the indicated transformation of the graph of f the equation f(x)=x+2 translated 2 units to the right is g(x)=
The function g(x) whose graph represents the indicated transformation of the graph of the equation f(x) = x+2 translated 2 units to the right is g(x) = x
Here the function is
f(x) = x+2
It is translated 2 units to the right
A translation defined as the movement of the graph either horizontally or vertically. In translation the shape or the size of the graph will not change only the location of the graph changes
Then the equation will be
f(x-2) = (x-2)+2
= x-2+2
= x
Hence, the function g(x) whose graph represents the indicated transformation of the graph of the equation f(x) = x+2 translated 2 units to the right is g(x) = x
The complete question is
Write a function g(x) whose graph represents the indicated transformation of the graph of f the equation f(x)=x+2 translated 2 units to the right.
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Hi I need help sketching the graphIts a domain and function
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
y = - 5 + √x
Step 02:
Domain:
x ≥ 0
[0 , oo)
Graph:
x-intercept = 25
(25 , 0)
y-intercept = -5
(0 , -5)
That is the full solution.
The length between the bases on a baseball field is 90ft. A scale drawing shows the distance between the based as 2 1/2 inches. One inch on this drawing equals how many ft?
SOLUTION:
Step 1:
In this question, we have the following:
The length between the bases on a baseball field is 90ft.
A scale drawing shows the distance between the bases is 2 1/2 inches.
One inch on this drawing equals how many ft?
Step 2:
[tex]\begin{gathered} \text{90 f}eet\text{ =2 }\frac{1}{2}\text{ inches} \\ y\text{ f}eet\text{ = 1 inch} \end{gathered}[/tex]Cross-multiply, we have that:
[tex]\begin{gathered} 2\frac{1}{2}\text{ x y = 9}0\text{ x 1} \\ \frac{5}{2}y=90 \\ \text{Divide both sides by }\frac{5}{2},\text{ we have that:} \\ y\text{ = 90 x }\frac{2}{5} \\ y\text{ =}\frac{180}{5} \\ y\text{ =36} \end{gathered}[/tex]CONCLUSION:
One inch on this drawing equals 36 feet
what is the first step when you do 3(19c+4)=12
3(19c + 4) = 12
1st step multiply the bracket (19c + 4) by 3
3(19c + 4) = 3(19c) + 3(4)
3(19c + 4) = 57c + 12
57c + 12 = 12
2nd step subtract 12 from both sides
57c + 12 - 12 = 12 - 12
57c = 0
3rd step divide both sides by 57 to find c
[tex]\frac{57c}{57}=\frac{0}{57}[/tex]c = 0
I want to learn mathematics
Answer:
take math class and watch stuff on kai academy
Answer:
use maths watch and get smart
Question in picture answer please
The expression in the image is:
a*(a + b + b) = a² + 2ab
So the correct option is the bottom left one.
Which expression is on the diagram?
The diagram is a rectangle that can be divided into smaller rectangles. We know that the area of the large rectangle will be equal to the sum of the areas of the smaller rectangles, then we can write:
area of the larger rectangle = a*(a + b + b)
While the addition of the areas of the smaller figures gives:
sum of areas: a² + a*b + a*b = a² + 2ab
Then the expression in the image is:
a*(a + b + b) = a² + 2ab
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y = 5
2x − 4y = –10
( _ , _ )
PLUG 5 IN THE PLACE OF Y AND SOLVE FOR X
[tex]2x - 4(5) = - 10 \\ 2x - 20 = - 10 \\ 2x = - 10 + 20 \\ 2x = 10 \\ \frac{2x}{2} = \frac{10}{2} \\ x = 5[/tex]
SINCE WE FOUND THAT x=5
we have the pair
(5,5)
Gregory had $7.32 he put $3.50 in the bank how much did he have left to spend
Answers
$3.82
Explanation
If Gregory had $7.32 he put $3.50 in the bank, the the amount left to spend is ($7.32 - $3.50) = $3.82
Which of the following expressions are perfect-square trinomials? Check all of the boxes that apply.
x²-16x-64
4x2 +12x+9
x+20x+100
x² + 4x + 16
Answer:
The second and the third one
Step-by-step explanation:
4x^2 + 12x + 9 = (2x + 3)^2
x^2 + 20x + 100 = (x + 10)^2
According to historical records, the highest price for regular gas in Florida over the last ten years was just under $4.06 write an inequality to represent Florida's gas prices over the last ten years
We know that the regular gas over the last ten years was just under $4.06.
Also, it's important to keep in mind that the price must be more than zero.
Therefore, based on the given information, the inequality is
[tex]0in the design a regular hexagon is inscribed in a circle point q will map onto which point after a 120 degree clockwise rotation around the center
Given a regular hexagon
At first we should know that, the angle of rotation between any two consecutive two points will be 360/6 = 60
So,
So, the point q after rotation of 120 degree clockwise will be point S
The answer is option A. Point S
Can find the correct answer
Answer:
∠ QOR = 35°
Step-by-step explanation:
from the diagram
∠ POQ + ∠ QOR = ∠ POR , that is
24° + ∠ QOR = 59° ( subtract 24° from both sides )
∠ QOR = 35°
Five thousand tickets are sold at $1 each for a charity raffle. Tickets will be drawn at random and monetary prizes awarded as follows: 1 prize of$500; 3 prizes of $100, 5 prizes of$20, and 20 prizes of $5. What is the expected value of this raffle if you buy 1 ticket?
As per the unitary method, the expected value of this raffle if you buy 1 ticket is $ 0.25.
Unitary method:
Basically, the word unitary refers to a single or an individual unit.
Therefore, this method aims at determining values in relation to a single unit.
Given,
Here we have that five thousand tickets are sold at $ 1 each for a charity raffle, and tickets are to be drawn at random and monetary prizes awarded as follows:
1 prize of $ 500,
3 prizes of $ 200,
5 prizes of $ 10, and
20 prizes of $ 5,
And here we need to determine what is the expected value of this raffle if you buy 1 ticket.
As per the given details, let us consider X be the expected value then we have written it as the equation like the following,
(500 + 3 x 200 + 5 x 10 + 20 x 5) / 5000 = X
When we simplify it then we get,
(500 + 600 + 50 + 100) / 5000 = X
After the addition operation we get the value,
1250/5000 = X
Then the value of X can be written as,
0.25 = X
Therefore, the expected value of this raffle per ticket is $ 0.25.
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OlialSlideAfrange Tools Add-ons HelpLast edit was 30 minutes ago२D PresentBackgroundLayoutThemeTransition56716. The Garcias are on their way to the beach. They are traveling ata rate of 30 miles per hour. Use the ordered pairs to graph thedistance traveled over time.Distance (miles)306090120150Time (hours)12345A15012090Distance (miles)60300Time (hours)GO ONGO ON
it is given that gracias travels 30 miles with speed of 30 miles per hour in a hour,
so (1 , 30)
the x cordinate is representing the time and y cordinate is representing the distance
so all the coordinates will be
(2, 60) & (3, 90) & (4, 120) & (5, 150)
mark these point on the graph
then draw the line that will meet these point.
4 in 3.2 in 7.5 in x x = [x] inches.
7.5in then 4in together next is 3.2in x and find
7.5" + 4" +3.2"x
Find all the angles in the interval 0 to 360 degrees that satisfy the following condition. Round theanswer to the nearest hundredth of a degree.sin(x) = 5/14
Given the expression:
[tex]\sin (x)=\frac{5}{14}[/tex]to find the angle, we use the invers sine function to get x:
[tex]\begin{gathered} \sin (x)=\frac{5}{14} \\ \Rightarrow x=\sin ^{-1}(\frac{5}{14})=20.92 \\ x=20.92 \end{gathered}[/tex]therefore, the angle x = 20.92°
i got it wrong twice ( c and b are incorrect)
You have to closely look at the values and figure out a pattern.
If you look at the right-hand column, you can see a pattern of powers of 3.
3^0 = 1
3^1 = 3
3^2 = 9
3^3 = 27
3^4 = 81
But the "power" doesn't correspond with nth term.
For example, when we have the power of "1", it is "2nd term", a_2.
Also, when we have the power of "3", it is the "4th term", a_4.
Hence,
the pattern suggests us that
the power is "1 less than" the nth term. In other words, the formula can be "a_(n-1) to the power 3" to incorporate this.
Looking at the choices,
A is correct.
Rotate point A(3,5) 270° counterclockwise around the origin
the given point is A(3,5)
when we rotate a point (x,y) around origin counterclockwise then its coordinates becomes (y,-x)
so point A(3,5) will be changed into A'(5,-3).
so new coordinate of the point will be A'(5,-3)
can you tell me in steps how to solve this quadratic formula problem?It's for an essay
A rectangular board is 1200 millimeters long and 800 millimeters wide. What is the area of the board in square meters? Do not round your answer. Be sure to include the correct unit in your answer.
Given:
shape: rectangle
length: 1200 mm
width: 800 mm
Find: area in square meters
Solution:
First, let's convert the given dimensions to meters.
Conversion rule is 1 m = 1000mm. Let's convert the length first.
[tex]1200\operatorname{mm}\times\frac{1m}{1000\operatorname{mm}}=1.2m[/tex]Length = 1.2 meters
Now, let's convert the width.
[tex]800\operatorname{mm}\times\frac{1m}{1000\operatorname{mm}}=0.8m[/tex]Width = 0.8 meters
Now that we are done converting the dimensions of the board to meters, let's solve for the area. The formula is:
[tex]Area=length\times width\text{ }[/tex]Let's plug in the converted dimensions to the formula.
[tex]Area=1.2m\times0.8m=0.96m^2\text{ }[/tex]Therefore, the area of the board is 0.96 square meters.
Construct parametric equations describing the graph of the line passing through the following points.(20, -14) and (12, -12)If y = 1-5, find the parametric equation for x,
ANSWER :
x = -4t - 16
EXPLANATION :
From the problem, we have the points :
[tex](20,-14)\quad and\quad(12,-12)[/tex]Solve for the equation of the line using two-point formula :
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]That will be :
[tex]\begin{gathered} y-(-14)=\frac{-12-(-14)}{12-20}(x-20) \\ y+14=\frac{2}{-8}(x-20) \\ y+14=-\frac{1}{4}(x-20) \\ y+14=-\frac{1}{4}x+5 \\ y=-\frac{1}{4}x+5-14 \\ y=-\frac{1}{4}x-9 \end{gathered}[/tex]Next is to substitute the given paremetric equation for y :
[tex]y=t-5[/tex]That will be :
[tex]\begin{gathered} y=-\frac{1}{4}x-9 \\ y=t-5 \\ t-5=-\frac{1}{4}x-9 \\ t-5+9=-\frac{1}{4}x \\ t+4=-\frac{1}{4}x \\ 4t+16=-x \\ x=-4t-16 \end{gathered}[/tex]Match the vocabulary to the proper definition?1.)two-way frequency table2.)categorical variable3.)marginal frequencies4.)joint frequencies-----------------Definitions:----------------()entries in the TOTAL row and TOTAL column of a two-way frequency table()entries in the body of a two-way frequency table () variables that take on values that are names or labels. The color of a ball, gender, or year in school (freshman, sophomore, junior, senior) are examples of categorical variables ()a useful tool for examining relationships between categorical variables
1. Two-way frequency table
entries in the body of a two-way frequency table
2. Categorical variable
variables that take on values that are names or labels. The color of a ball, gender, or year in school (freshman, sophomore, junior, senior) are examples of categorical variables
3. Marginal frequencies
entries in the TOTAL row and TOTAL column of a two-way frequency table
4. Joint frequencies
a useful tool for examining relationships between categorical variables
Options for the first box: 9.51, 9.75, 9.67, 9.59Options for the second box: 9.91, 9.99, 9.75, 9.83
We know that
• The mean is 9.75 meters per second.
,• The standard deviation is 0.08 meters per second.
According to the empirical rule, 95% of the data falls into 2 standard deviations below and above the mean, so we just have to subtract and add the standard deviation twice.
[tex]\begin{gathered} \bar{x}+2\sigma \\ \bar{x}-2\sigma \end{gathered}[/tex]Using the given information, we have
[tex]\begin{gathered} 9.75+2(0.08)=9.75+0.16=9.91 \\ 9.75-2(0.08)=9.75-0.16=9.59 \end{gathered}[/tex]Therefore, her next measurement will fall between the values of 9.59 and 9.91 meters per second.[tex]9.59A group of 45 people attened a ball game.There were twice as many children as adults in the group, Set up a system of equations that represents the numbers of adults and children who attened the game and solve the system to find the number of children who were in the groupe as many children as adults in the group. set up a system of equations that represents the number of adults and children who attened the game and solve the system to find the number of children who were in the group
A system of equations representing the number of adults and children attending the game is x + 2x = 45, and the number of children who were in the group is 30.
What is an equation?An equation is a mathematical statement showing that two mathematical expressions are equal or equivalent.
Equations are represented using the equation sign (=).
The total number of people who attended the game = 45
Let the number of children, who were twice as many as adults, C = 2x
Let the number of adults, who attended the game, A = x
Therefore, the total number of attendees, T = x + 2x = 45
x + 2x = 45
3x = 45
x = 15
C = 2x
= 2(15)
= 30
Check:
x + 2x = 45
Substitute x with 15
15 + 2(15) = 45
15 + 30 = 45
45 = 45
Thus, from the system of equations, we can conclude that 30 children attended the game, which is twice the number of adults.
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what is 3/5 as an equation or fraction?
Given,
[tex]\frac{3}{5}[/tex]In algebra, an equation is a mathematical statement consisting of an equal symbol between two algebraic expression
In the given, there is no equal symbol
Then the given value looks like a fraction format
so,
[tex]\frac{3}{5}[/tex]Is a fraction
May I please get help describing each? I have tried multiple times to get each of them are
Definitions:
Perpendicular bisector: A line that bisects (split into two equal parts) a line segment at a right angle (90°)
Angle bisector: A line that bisects a angle.
Median of a triangle: Line segment drawn from a vertex to the middpoint of the opposite side to the vertex.
Altitude of a triangle: Perpendicular segment form a vertex of a triangle to the opposite side.
a) With the given information you can describe FI as:
Median of triangle FGH:Line segment drawn from a vertex (F) to the middpoint of the opposite side to the vertex (GH). The two marks in red indicates that the segments have the same measure (then the point I is the middpoint of the side GH.
Theres is not indication of a perpendicular angle, or a bisection of the angle. Then you can not describe FI as any of the other options.
