Answer:
5.18x10-5 is the correct answer
Step-by-step explanation:
Scientific notations are used to represent relatively large and small numbers.
The population per capita is (d) [tex]5.18 \times 10^{-5}[/tex]
The populations are given as:
[tex]Starbucks = 2010[/tex]
[tex]People = 38.8\ million[/tex]
The population of Starbucks per capita is calculated by dividing the population of Starbucks by the population of the people.
So, we have:
[tex]Per\ Capita = \frac{Starbucks}{People}[/tex]
Substitute known values
[tex]Per\ Capita = \frac{2010}{38.8\ million}[/tex]
Divide
[tex]Per\ Capita = 0.00005180412[/tex]
Approximate
[tex]Per\ Capita = 0.0000518[/tex]
Express as scientific notation
[tex]Per\ Capita = 5.18 \times 10^{-5}[/tex]
Hence, the population per capita is (d) [tex]5.18 \times 10^{-5}[/tex]
Read more about scientific notation at:
https://brainly.com/question/1767229
I will give you brainliest if you answer correctly!!
Answer:
The answer is B.
Step-by-step explanation:
Roger likes to eat Crunchy Flakes cereal for breakfast every morning. Crunchy Flakes comes in a 20-ounce box that costs $4.20 and a 30-ounce box that costs $6.00. Which is the better buy? (HINT: Find which one is less per ounce)
A. 20-ounce box
B. 30-ounce box
C. they both are the same per ounce
Answer:
B
Step-by-step explanation:
Divide $4.20 by 20 ounces and $6 by 30 ounces. You would get 0.21 and 0.2. So, B is the cheaper and better buy.
Prove for any value of y the value of expression y^4−(y^2−9)(y^2+9) is divisible by 9.
Answer:
Step-by-step explanation:
y4−
(y2−9)(y2+9)
9
Distribute:
=y4+
−1
9
y4+9
Combine Like Terms:
=y4+
−1
9
y4+9
=(y4+
−1
9
y4)+(9)
=
8
9
y4+9
Answer:
=
8
9
y4+9
The polynomial expression is divisible by 9
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the polynomial be represented as A
Now , A = y⁴ - (y² - 9)(y² + 9)
To prove that the expression y⁴ - (y² - 9)(y² + 9) is divisible by 9 for any value of y, we can use algebraic manipulation and factorization.
First, we can simplify the expression inside the parentheses:
y² - 9 = (y - 3)(y + 3)
y² + 9 = (y + 3i)(y - 3i)
where i is the imaginary unit, i.e., i² = -1.
Substituting these expressions back into the original equation, we get:
y⁴ - (y² - 9)(y² + 9) = y⁴ - (y - 3)(y + 3)(y + 3i)(y - 3i)
Now, we can factor out (y − 3)(y + 3) from the second term:
y⁴ - (y² - 9)(y^2 + 9) = y⁴ - (y² - 9)(y² + 9) + 9(y - 3)(y + 3)
= y⁴ - (y² - 3^2)(y² + 3²)
= (y²)² - (3²)²
= (y² + 3²)(y² - 3²)
= (y² + 9)(y² - 9)
= (y + 3i)(y - 3i)(y + 3)(y - 3)
Now, we can see that the expression is equal to the product of four factors: (y + 3i), (y - 3i), (y + 3), and (y - 3). Note that either (y + 3i) and (y - 3i) or (y + 3) and (y - 3) must have the same residue modulo 3, since there are only three residues modulo 3 (0, 1, and 2) and four factors. In either case, the product of the two factors that have the same residue modulo 3 is divisible by 3, and therefore the entire expression is divisible by 3.
Moreover, since (y + 3) and (y - 3) are both odd or both even, the product of (y + 3) and (y - 3) is divisible by 8, which implies that the entire expression is also divisible by 8.
Hence , the expression y⁴ - (y² - 9)(y² + 9) is divisible by both 3 and 8 for any value of y, and therefore it is also divisible by their least common multiple, which is 9
To learn more about polynomials click :
https://brainly.com/question/13199883
#SPJ3
A circle with circumference 6 has an arc with a
340º central angle.
Answer:
17.80236
Step-by-step explanation:
Percentages equal to 100% and how?
Answer:
2 or more percents add up to 100% or one percent is 100%
Step-by-step explanation:
Part A. The tee shirts for the fundraiser will cost $10 to make and there is a $25 delivery fee to have the shirts delivered. 1) Write an expression to represent the student government’s total cost of ordering “t” amount of tee shirts. please helpppppp
Answer:
x=10t+25
Step-by-step explanation:
The delivery fee is 25 dollars and each shirt is 10 dollars
There are two groups of people, three in each, for painting a wall. The numbers in the next two sentences express the time (in hours) spent on painting. In group A, Alex 2.5, Adam 3.6, and Antimo 4.7. In group Z, Zairo 2.2, Zeno 3.2, and Zubro 4.9. Estimate the total time for group A and for group Z when all three workers in each group work together. Which group can paint the wall faster and why do you think so?
(your answer is two numbers
(two estimates) in one sentence where you will explain your reasoning)
Answer:
1. The total time taken for group A to paint the wall together is 1.12 hours
2. The total time taken for group Z to paint the wall together is 1.03 hours
3. group Z can paint the wall faster
Step-by-step explanation:
The time spent on painting are;
Group A
Alex = 2.5 hours
Adam = 3.6 hours
Antimo = 4.7 hours
1. We have for group A
Alex's paint rate = 1 wall in 2.5 hours = 1/2.5 wall/hour
Adam's paint rate = 1 wall in 3.6 hours = 1/3.6 wall/hour
Antimo's paint rate = 1 wall in 4.7 hours = 1/4.7 wall/hour
When the three workers work together, we have;
1/2.5 wall/hour + 1/3.6 wall/hour + 1/4.7 wall/hour = 3767/4230 wall/hour
Therefore, the time for the three workers of group A to paint one wall is given as follows;
[tex]Time \ to \ paint \, one \, wall = \frac{1 \, wall}{\frac{3767}{4230} wall/hour} = 1\tfrac{463}{3767} hours[/tex]
The total time taken for group A to paint the wall together = 1.12 hours
2. The data for group Z is as follows;
Zairo = 2.2 hours
Zeno = 3.2 hours
Zubro = 4.9 hours
We have for group Z
Zairo's paint rate = 1 wall in 2.2 hours = 1/2.2 wall/hour
Zeno's paint rate = 1 wall in 3.2 hours = 1/3.2 wall/hour
Zubro's paint rate = 1 wall in 4.9 hours = 1/4.9 wall/hour
When the three workers work together, we have;
1/2.2 wall/hour + 1/3.2 wall/hour + 1/4.9 wall/hour = 8375/8624 wall/hour
Therefore, the time for the three workers of group Z to paint one wall is given as follows;
[tex]Time \ to \ paint \, one \, wall = \frac{1 \, wall}{\frac{8375}{8624} wall/hour} = 1\tfrac{249}{8375} hours[/tex]
The total time taken for group Z to paint the wall together = 1.03 hours
3. Since the total time for group A to paint the wall which is 1.2 hours is more than the total time for group Z to paint the wall which is 1.03 hours, group Z can paint the wall faster.
My phone rang midway between 10:53 A.M. one day and 1:05 P.M. the next day. It rang at
a) 11:58 P.M.
b) 11:59 P.M.
c) 12:59 A.M.
d) 1:59 A.M.
Step-by-step explanation:
So lets count the time between 10:53 and 1:05
7 Mins to 11
2 Hours to one
5mins to 1:05
Total 2 hours 12 mins divided by 2 to find the middle
1 hour 6 mins. We add 1 hr 6 mins to 10:53.
10:53 + 6mins equals 11:59
11:59 + 1hour = 12:59
Answer c
After the dimensions of an equilateral triangle are increased by a scale factor of 2.5, the perimeter is 45 units. What were the side lengths of the original triangle?
Answer:
Original side of triangle = 6 units
Step-by-step explanation:
Given:
Perimeter = 45 units
Scale factor = 2.5 (Increase)
Find:
Original side of triangle = ?
Computation:
Original Perimeter = Perimeter / Scale factor
Original Perimeter = 45 units / 2.5
Original Perimeter = 18 units
Perimeter of an equilateral triangle = 3 (Side)
18 units = 3 (Side)
Side = 6 units
Original side of triangle = 6 units
show work please. need asap.
Answer:
129 = QRX
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
49+80 = QRX
129 = QRX
Answer:
129°
Step-by-step explanation:
Exterior angle = sum of interior angles
Angle QRX = 49 + 80
= 129°
The marked price of a water cooler is $ 4500. The shopkeeper offers an off-season discount of 18% on it. Find its selling price.
Answer:
$3690
Step-by-step explanation:
Let's first find what percent of the original price it is being sold for.
100%-18%=82%
The water cooler is being sold for 82% of its original price.
Let's now find 82% of 4500.
0.82*4500=3690
The selling price is $3690
Answer:
3690
Step-by-step explanation:
the original price is 4500
for decreasing or discount we use this formula x discount upo 100 multiply by the original price. so for this question if we apply the formula it will be
18upon 100 x4500. the answer comes as 810. noww we subtract the original price from the discounted price. so 4500-810=3690. comes as ur selling price
PLEASE ANSWER QUICKLY. I GIVE BRAINLIEST AND I FOLLOW YOU.
Please do #1 and 2 and show work
Answer:
1= 5x and 7x
2= 3x and 2x
Step-by-step explanation:
its hard to explain you just add them or minus them
Answer:
1) x = 7 y = 19 2) x = 1 y = 3
Step-by-step explanation:
1) y = 4x - 9
y = 2x + 5 Since the equations are equal to y, set them equal to each other
4x - 9 = 2x + 5
-2x - 2x Subtract 2x from both sides
2x - 9 = 5
+ 9 + 9 Add 9 to both sides
2x = 14 Divide both sides by 2
x = 7
Plug this into the first equation
y = 4(7) - 9 Multiply
y = 28 - 9 Subtract
y = 19
2) -3x + 6 = x + 2
+3x +3x Add 3x to both sides
6 = 4x + 2
-2 - 2 Subtract 2 from both sides
4 = 4x Divide both sides by 4
1 = x
Plug this into the second equation
y = 1 + 2 Add
y = 3
2x - 3 > 15 or 3 + 7x < 17
Answer:
2x-3>15 and 3-7x>17 =
3-7x>17
-7x>14
x<-2
Step-by-step explanation:
Sorry this is not a proper equation. I think you meant this equation.
2x-3>15 and 3-7x>17
for this equation the answer is
3-7x>17
-7x>14
x<-2
What is the volume of the following rectangular prism? 9/5 2/3
Answer:
the answer is 1 1/5
Step-by-step explanation:
what i did was 9/5 times 2/3 which got me 1 1/5
Hope this helpshope this is right ask questionshave a nice dayWhat is the median of the data in this stem-and-leaf plot?
a 21
b 22
c 23
d 24
Answer:
23
Step-by-step explanation:
The median is the middle number
There are 10 number so the median is between 5 and 6
Take the 5 and 6th terms and average them
(22+24)/2 = 23
Answer
23 (Answer c is correct)hope this helps
brainliest appreciated
good luck! have a nice day!
Can someone help me and show how to write the perimeter equation for x to this polygon.50 points Find x for full 70 points
Answer:
10x + 8 = 21
x = 1.3
Step-by-step explanation:
a)
In pentagon ABCDE,
AB = DE = 2x + 3 and BC = CD = x + 1
Perimeter of pentagon ABCDE = 21
4x + 2(2x + 3) + 2(x + 1) = 21
4x + 4x + 6 + 2x + 2 = 21
[tex] \purple {\boxed {\bold{10x + 8 = 21}}} [/tex]
b)
10x = 21 - 8
10x = 13
[tex]x = \frac{13}{10} \\ x = 1.3 \: cm [/tex]
Enter the value of the 8 in the following number. 438.13
Answer:
8
Step-by-step explanation:
It is in the one's place, so it is just 8x1, which is 8
I NEED HELP PLZZZZZZ!!! I NEED TO WRITE SOMETHING...……..
Bob withdrew money from an ATM, put the receipt in an envelope, and filled in the information in his check register.
Explain why it is important for Bob to keep the receipt and record the information in his check register.
Answer:
It is important for bob to keep the receipt and record in the register so he can monitor how much money he has in the account. It prevents being overdrawn. Recording debits and deposits helps with budgeting.
Angela is using a number cube for a game with faces labeled 1, 2, 3, 4, 5, and 6. Is the number cube fair? Explain why or why not.
Answer: Yes
Step-by-step explanation: It is equal because each side has a chance of it rolling on either 1,2,3,4,5, and 6.
Which line segment is a diameter of T?
Answer:
[tex] \overline{UZ}[/tex]
Step-by-step explanation:
[tex] \overline{UZ}[/tex] is passing through the center of the circle with center T. Therefore [tex] \overline{UZ}[/tex] is the diameter
Answer:
Line UZ
Step-by-step explanation:
This is Beacause Line UZ passes thru T which is the center of the circle.
The diameter is the length of the line through the center that touches two points on the edge of the circle.
Hope it Helps, Pls Mark as Brainliest!!
The grades on a geometry midterm at Springer are roughly symmetric with u = 73 and 0 = 3.0.
Umaima scored 72 on the exam.
Find the z-score for Umaima's exam grade. Round to two decimal places.
Answer:
z = - 0.33
Step-by-step explanation:
Given that:
Mean (μ) = 73, standard deviation (σ) = 3.0
Z score is a measure in statistics to determine the number of standard deviation a value is above or below the mean of what is measured. If the value is above the mean it is positive but if it is below the mean it is negative. It is given by the equation:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
To calculate z-score for Umaima's exam grade, we need to calculate the z score of 72
For x = 72, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{72-73}{3} =-0.33[/tex]
z = - 0.33
Answer:
−0.33
Step-by-step explanation:
just did it oh khan
Help please help me I need this
Answer:
[tex]\frac{5+-\sqrt{53} }{2}[/tex]
Step-by-step explanation:
in the equation given these are the values:
a=1 b= -5 c= -7
if we plug this in the quadratic formula [tex]\frac{-(-5)+-\sqrt{(-5)^2-4(1)(-7)} }{2(1)}[/tex]
this is simplified to [tex]\frac{5+-\sqrt{53} }{2}[/tex]
hope this helped
Is this SAS or Not SAS
Answer:
yes it is sas
Step-by-step explanation:
because one side is shared, they both have right angles and the other side is a given.
Answer:
SAS
Step-by-step explanation:
The sides are all equivalent so it is indeed a SAS triangle.
What is the numerator of the next term in the arithmetic sequence?
1/2 2/2 3/2 4/2
Answer:
5
Step-by-step explanation:
The numerator is the value on top, above the denominator. In an arithmetic sequence you are increasing by the same amount each time. In this case, you are increasing by 1/2 each time. 4/2 plus 1/2 is 5/2, so your numerator is 5.
Are the graphs of the lines in the pair parallel ? Explain.
Y=2/3x-17
3-x - y = -6
A.)Yes, since the slopes are the same and the y-intercepts are different.
B.)No, since the slopes are different.
C.)No, since the y-intercepts are different.
D.)Yes, since the slopes are the same and the y-intercepts are the same.
So the right answer is of option D
Look at the attached picture
Hope it will help you...
Good luck on your assignment
If Catherine traveled 1,800 miles in 6 hours on her plane flight to her vacation destination, how fast was the plane traveling?
Answer:
So the plane drobe 1800 miles in 6 hours.
to find the time to plane was traveling per hour, we divide 1800 by 6 geting us with 300. THe plane traveled 300 miles per hour
Step-by-step explanation:
Answer:
300 mph
Step-by-step explanation:
[tex]Speed \: of \: plane \\ = \frac{distance}{time} \\ = \frac{1800}{6} \\ = 300 \: mph[/tex]
Thus plane was travelling at 300 miles per hour speed.
I need help with this please!
Answer:
The equation of a circle using the center [tex](2,0)[/tex] and the radius [tex]7[/tex]
[tex](x-2)^2+(y-0)^2= 49[/tex]
Step-by-step explanation:
-Directions:
To determine the following circle on a graph, you need the to look for a point that lands exactly on the center of the circle and to find the radius, you need look for a point that lands exactly on the outline of the circle and start counting from the center, to the point. Then, use both the center and the radius for the equation of a circle. After putting the center and radius on the equation of a circle, simplify the radius by the exponent [tex]2[/tex], because according to the equation of a circle, the radius is [tex]r^2[/tex].
-The equation of a circle
[tex](x-h)^2+(y-k)^2=r^2[/tex]
-Finding the center and the radius for the equation of a circle:
Center: [tex](2,0)[/tex] Radius: [tex]7[/tex]
[tex](x-2)^2+(y-0)^2= 49[/tex]
Which values are solutions to the inequality below
Check all that apply
asap-worth 25% of overall
Answer:
ummm
Step-by-step explanation:
what is the question
Select the correct answer. What are you required to do when you buy in bulk to save money? A. purchase a minimum number of items B. purchase a large quantity of an item C. commit to buy more in the future
Answer:
B
Step-by-step explanation:
Answer:A
Step-by-step explanation:You should always atleast buy something for your earnings
