help me with this please
1. Create a graph of the function G(t) and explain the meaning of the y-intercept in terms of the number of smartphones being shipping to stores.
2. Explain a way you could calculate exactly when smartphone manufacturers were shipping 500 million smartphones to stores around the world.
Answers
The y-intercept indicates that 174 million smartphones were shipped to stores in 2009. This implies that after two years, in 2011, smartphone manufacturers shipped 500 million smartphones to stores worldwide.
Since 2009 the number of smartphones shipped from manufacturers to stores around the world has increased exponentially.
The growth from 2009 through 2015 can be modeled using the function G(t) = 174·[tex]1.67^t[/tex] where t is the number of years since 2009 and G(t) is measured in millions of smartphones.
The required graph of the exponential function G(t) has been attached below
Now, finding the y-intercept
G(t) = 174·[tex]1.67^t[/tex] ...(i)
Substitute the value of t = 0 in the above function,
G(t) = 174·1.67⁰
G(t) = 174(1)
G(t) = 174
The meaning of the y-intercept is that 174 million smartphones are being shipped to stores in years 2009.
Substitute the value of G(t) =500 in the exponential function(i),
500 = 174·[tex]1.67^t[/tex]
500/174 = [tex]1.67^t[/tex]
2.8735 = [tex]1.67^t[/tex]
[tex]\ln \left(2.8735\right)=t\ln \left(1.67\right)[/tex]
[tex]t=\dfrac{\ln \left(2.8735\right)}{\ln \left(1.67\right)}[/tex]
t = 2.05827 ≈ 2
This means after 2 years i.e. in 2011, smartphone manufacturers were shipping 500 million smartphones to stores around the world.
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Related Questions
Henry goes to the town fair.Use the prices on the photograph to complete the table.Enter the correct answer in the box.
Answers
ANSWER
$28
EXPLANATION
We have that the entry fee is $10 and for each ride, $6 must be paid.
We want to complete the table by finding the cost of 3 rides.
First, let us represent the cost of going to the fair and taking the ride.
Let the number of rides a person takes by x.
We have that the cost of taking x rides will be the entry fee plus the cost of each ride taken:
Cost = 10 + 6x
So, for taking 3 rides, it will cost:
Cost = 10 + 6(3)
Cost = 10 + 18
Cost = $28
That is the cost of taking 3 rides.
what is 2.405 and 1.537 as a fraction to the simplest form
Answers
Answer:
2.405 = 481/200 or 2 81/200
1.537 = 1537/1000 or 1 537/1000
Step-by-step explanation:
Hope it helps:)
Answer:
2.405 = 481/200 or 2 81/200
1.537 = 1537/1000 or 1 537/1000
Step-by-step explanation:
QUESTION 1Given a n x m matrix A and m X p matrix B, if AB = 0 then A = 0 or B = 0.TrueFalseQUESTION 2Given an xm matrix A,an n x n identity matrix I, exists such that I, A = Al, = A.TrueFalse
Answers
Given:
[tex]A_{n\times m},B_{m\times p}[/tex]If AB = 0,
Then it is not necessary that A=0 or B=0
To prove this, we consider an example:
Let n=m = p =2
Then AB is given as:
Clearly AB= 0 but A,B not equals to zero.
Hence, the given statement is not true.
Hence, the answer is false.
2=1/2(7x-4) i don’t know how to use the fractions, please help.
Answers
Answer:
x= 1.14 to 2d.p.
Step-by-step explanation:
1/2 = 0.5
0.5 * 7x = 3.5x
0.5 * -4 = -2
2=3.5x-2 Solve +2
4=3.5x /3.5
x= 1.14 to 2d.p.
Week 10 Quiz Version A The Zero Product Property is used to find the zeros (or ti the graph will cross the O X-axis © y-axis O z-axis o origin
Answers
The roots of a equation are the points where the graph intersects the x-axis. The answer is the first option.
What is the value of x in: [tex] log_{2}(x) - 3 = 1[/tex]a) 2²b) 2³c) 2⁴d) 2¹
Answers
Add 3 to both sides:
[tex]\begin{gathered} \log _2(x)-3+3=1+3 \\ \log _2(x)=4 \\ 2^{\log _2(x)}=2^4 \\ x=2^4 \end{gathered}[/tex]what is the x-intercept of the linear equation that is parallel to y=-3x-5 and passes through (2, 6)?
Answers
x-intercept of the linear equation that is parallel to y=-3x-5 and passes through (2, 6) is 4
What is the equation of the line?
The slope of the line and a point on the line can be used to create the equation of a line.
The slope of the line, which can be stated as a numeric integer, fraction, or the tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis. The coordinate system's point with the x coordinate and the y coordinate is referred to as the point.
Given equation of line is y = -3x - 5
Passing points (a,b) = (2,6)
As we know equation of the line is y = mx + c where m is the slope of the line and c is the y-intercept
On comparing the given equation of the line with y = mx + c , we have slope of the line is -3
Slope of two parallel lines is equal.
Equation of line having slope and passing point is given by y-b = m (x-a)
Therefore, equation of line having slope -3 and passing point (2,6) is y - 6 = -3(x - 2)
⇒ y - 6 = -3x + 6
⇒ y = -3x + 6 + 6
⇒ y = -3x + 12
Equation of line having slope and x-intercept is given by y = m(x - a) where m is the slope and a is the x- intercept
y = -3x + 12 can be written as y = -3(x-4)
On comparing this equation with y = m(x-a) we have x-intercept is 4
Therefore, x-intercept of the linear equation that is parallel to y=-3x-5 and passes through (2, 6) is 4
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12. Given that a line has slope = 5 and passes through the point (2,3), what's its equation
Answers
Given slope m=5 and the point as (2, 3)
[tex]\begin{gathered} y-y_1=m(x-x_{1)} \\ \text{Where x}_1=2 \\ y_1=3 \\ y-3=5(x-2) \\ y=5x-10+3 \\ y=5x-7 \end{gathered}[/tex]The equation of the line is y = 5x - 7
the major parts of a salary range consist of all of the following, except: a. minimum b. midpoint c. median d. maximum
Answers
The major parts of a salary range typically include the minimum, midpoint, and maximum salary for a position. The median salary is often used as a point of reference within a salary range, but is not considered one of the major parts.
The median salary is the salary at which half of the workers in an occupation earn less and half earn more.The midpoint is the average of the minimum and maximum salaries. It is used to calculate the median salary. The median salary is the salary that is in the middle of the minimum and maximum salaries. It is used to calculate the mean salary. The mean salary is the average of all the salaries.
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UBTRACT THE INTEGERS AN PE YOUR ANSWER IN THE BC -34 - 55
Answers
-34-55
Since both numbers are negative, we simply have to add the numbers and the result will be negative.
-89
Find the number for n that makes this equation
true:
205
n(8-3)+7(9 + 1) = 7(9 + 1) + 2(1 + 4)
a) 5 b) 70
c) 2
d) 20
What number is in
Answers
Explanation:
Distribute
8n-3n+63+7=63+7+2+8
Simplify
8n-3n=2+8
5n=10
n=2
please help
my homework is due tom
I finished the rest
Answers
a) The coordinates of the point B is (6, 6) and the coordinates of the point D is (4,0).
b) The completed rectangle ABCD is shown in the following graph. And the point of C (8,4) is also marked on it.
Coordinates:
Coordinates refers a pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.
Given,
Here we have the graph attached to the given question with the coordinates A, B and D.
Now, we have to find the following:
a) Coordinates of B and D
b) Draw a complete rectangle on the graph and mark the coordinates C on it.
a) While we looking at the graph, we have identified that,
The point of B is derived by when the point 6 in x axis and y in y axis intersect. Therefore, the coordinate of B is (6,6).
Similar way, the coordinate of D is obtained as (4,0).
b) First, we have to identify the point of C, that can be obtained, we know that the shape of ABCD is rectangle, based on this the coordinate lies at the point of (8,4).
Therefore, the completed graph is attached below.
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PLEASE HELP!!!
1: Add the linear expression
(-2×-5-3×)+(2×-2) what is the sum?
2: Subtract the linear expressions.
(3/4×-1)-(1/3×+4) what's the difference?
3: Add the 2 expression
-6.5b+11 and 3.3b-2
4:Subtract the linear expressions.
(-3.6×+9.4)-(1.9×+3.6) whats the difference?
5: Subtract 5×-2 from -3×+4.
A. -8×+2
B.2×+2
C.8×-6
D.-8×-6
Answers
The solution of each expression is
(1) (-2×-5-3)+(2×-2) = - 10
(2) (3/4 x-1)-(1/3 x +4) = -13/12 x -5
(3) -6.5b+11 + 3.3 b - 2 = - 3.2b + 9
(4) (-3.6x+9.4)-(1.9x +3.6) = -5.5 x + 5.8
What are the basic equations?When two expressions are connected with the equals sign (=) in a mathematical formula, it expresses the equality of the two expressions. An equation is an algebraic statement that demonstrates two mathematical expressions are equivalent in algebra, and this is how it is most usually used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal." When two expressions are joined by an equal sign, a mathematical statement is called an equation. An equation is something like 3x - 5 = 16. By solving for x, we discover that x equals 7, which is the value for the variable.
(1) The sum of the given expressions is given as
(-2×-5-3)+(2×-2)
= -2x - 8 + 2x - 2
= -8 - 2
= - 10
(2) (3/4 x-1)-(1/3 x +4)
(-3/4) x- (1/3) x - 1 - 4
= -13/12 x -5
(3) -6.5b+11 + 3.3 b - 2
= (-6.5+ 3.3) +11 -2
= - 3.2b + 9
(4) (-3.6x+9.4)-(1.9x +3.6)
= (-3.6x-1.9x)+9.4 - 3.6
= -5.5 x + 5.8
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Robert needs to cut four shelves from a board that is meters long. The second shelf is centimeters longer than twice the length of the first shelf. The third shelf is centimeters shorter than the first shelf. The remaining shelf is centimeters longer than the first shelf. If robert must use the entire meter board for the shelves, what is the length of the second shelf, in centimeters?.
Answers
The length of the second shelf is 114 centimetres.
Consider the four shelves as A, B, C and D. According to the question, the length of the four shelves is 2.5 cm.
A + B + C + D = 250 cm ( 1 m = 100 cm ⇒ 2.5 * 100 = 250 ) → 1
The length of the second shelf is 18 cm longer than twice the length of the first shelf.
B = 2A + 18 → i
The length of the third shelf is 12 cm shorter than the first shelf.
C = A - 12 → ii
The length of the fourth shelf is 4 cm longer than the first shelf.
D = A + 4 → iii
Substitute i,ii and iii in 1 ⇒ A + B + C + D = 250
A + 2A + 18 + A - 12 + A + 4 = 250
5A + 22 - 12 = 250
5A + 10 = 250
5A = 250 - 10
5A = 240
A = 240/5
A = 48
Substitute A = 48 in i, ii, iii and then we get,
B = 11, C = 36 and D = 52
Therefore, the length of the second shelf B is 114 cm.
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The complete question is
Robert needs to cut four shelves from a board that is 2.5 meters long. The second shelf is 18 centimetres longer than twice the length of the first shelf. The third shelf is 12 centimetres shorter than the first shelf. The remaining shelf is 4 centimetres longer than the first shelf. If Robert must use the entire 2.5 meter board for the shelves, what is the length of the second shelf, in centimetres?
Help with problem and pick if it is odd or even
Answers
Since
[tex]f(x)=-x^4+x^3+2x+x+1[/tex]even degree function, it will have an even number of real zeros, and, since it has a degree of 4, there will be 4, 2 or 0 real zeroes
A rectangular prism has a volume of 384 cubic inches. Find the height of the prism.h= ____ in
Answers
Rectangular prism volume: base length x base width x height
By looking at the image we can see that the height of the prism is 13cm.
To obtain the result in inches, divide by 2.54
13/2.54 = 5.12 inn inche
pls solve dis quiz iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answers
Answer: the 3 equation I think
Step-by-step explanation: Find the value of X and y be sure to do on paper or message me for this one so I can give the answer to you without solving
Mauricio fue en bicicleta de su casa a la de su abuela. Si salió a las 10:00 am y llego a las 2:00 p.m., ¿cuánto tiempo duró el trayecto?
Answers
Si pasamos el formato de horas a 24 horas, tenemos lo siguitente:
[tex]\begin{gathered} 10\colon00am=10\colon00hrs \\ 2\colon00pm=14\colon00\text{hrs} \end{gathered}[/tex]claramente podemos ver la diferencia:
[tex]14\text{hrs-}10\text{hrs}=4\text{hrs}[/tex]por lo tanto, el trayecto duro 4 horas
Which is a solution to the equation? (x −2)(x + 5) = 18 Group of answer choices x = −4 x = −2 x = −7 x = −10
Answers
Answer:
-7
Step-by-step explanation:
-7-2= -9
-7+5= -2
-9×-2=18
Answer: n = - 13/4
Step-by-step explanation: got it correct :)
5÷1/12 write your answer in the simplest form.
Answers
Answer:60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
Using the remainder theorem, what is f (3)when f (x) = −2x^4 + 9x² + 2x + 10? O-92 O -65 O 43 O 73
Answers
Answer:
Look at this attachment and it may help you
Step-by-step explanation:
Answer:
-64
Step-by-step explanation:
took the test
Choose the line perpendicular to the following equation through the given point
Answers
Answer:
y=-1/2x+1
Step-by-step explanation:
perpendicular is when the gradient of the existing equation is reciprocated (swapped sides and flipped)
new gradient- -1/2
so our new equation is y=-1/2x+c
we have the co-ordinates for x and y so substitute into new equation
1=(-1/2 x 0) + c
so c=1
Hence our equation is : y=-1/2x+1
Complete the point-slope equation of the line through (−2,6) (1, 1)
Use exact numbers.
y−6= [ ]
Answers
y-6 = -5/3 (x+2) is the point - slope equation of the line through (-2 , 6 ) ( 1 , 1 ) using exact numbers.
What is point - slope equation ?For linear equations, the typical form is y-y1=m(x-x1). It highlights the line's slope and a line point (that is not the y-intercept).
The two approaches for determining the equation of a line given a point and its slope are as follows:
(a). Input the slope and the (x, y) point values into the equation y = mx + b, then solve for b using the substitution technique
b) Point-slope form: (x 1, y 1), where (y 1, x 1) is the point and (m, the slope) is the specified slope.
CalculationFirst you need to find the slope, (y2-y1)/(x2-x1). This is (1-6)/(1-(-2)) or -5/3
Now that you know the slope you can use that for the point-slope equation
The point-slope equation is y-y1 = m(x-x1). If we start with y-6, the x value is -2 (from our point (-2,6)
y-6 = -5/3 (x-(-2))
or, y-6 = -5/3 (x+2)
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A rectangular pool is 9 meters wide and 11 meters long. If you swim diagonally from one corner to the other, how many meters will you swim? Approximate the answer to the nearest tenth.
Answers
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{9}\\ b=\stackrel{opposite}{11}\\ \end{cases} \\\\\\ c=\sqrt{9^2 + 11^2}\implies c=\sqrt{202}\implies {\Large \begin{array}{llll} c\approx 14.2 \end{array}}[/tex]
in the figure below, $3$ of the $6$ disks are to be painted blue, $2$ are to be painted red, and $1$ is to be painted green. two paintings that can be obtained from one another by a rotation or a reflection of the entire figure are considered the same. how many different paintings are possible?'
Answers
two paintings that can be obtained from one another by a rotation or a reflection of the entire figure are considered the same. then 12 different paintings are possible
First we figure out the number of ways to put the $3$ blue disks.
Denote the spots to put the disks as $1-6$ from left to right, top to bottom.
The cases to put the blue disks are $(1,2,3),(1,2,4),(1,2,5),(1,2,6),(2,3,5),(1,4,6)$.
For each of those cases we can easily figure out the number of ways for each case, so the total amount is $2+2+3+3+1+1 = (D) 12$
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Can anyone tell me the answer to this problem in my picture if so ill give a high reward
Answers
Answer:
10x1/2
Step-by-step explanation:
Answer:
Step-by-step explanation:[tex]10*4\7= \frac{40}{7} \\=5.714285714 \\\\ 10*\frac{10}{2}\\ \frac{10}{2}\\ =5 \\\\10*4\frac{2}{3} = 10*\frac{14}{3}\\\\ \frac{140}{3} = 46.66666667\\\\10*\frac{3}{4}=\\\\ \frac{30}{4} = 7.5\\\\10*\frac{9}{8}=\\\\\frac{90}{8} = 11.25\\ \\\\10X\frac{4}{7} , 10X\frac{3}{4} is the answer[/tex]
A jar contains only pennies, nickels, dimes, and quarters. There are 28 pennies, 26 dimes, and 23 quarters. The rest of the coins are nickels. There are 90 coins in all. How many of the coins are not nickels? If n represents the number of nickels in the jar, what equation could you use to find n?
Answers
If n represents of nickels in the jar, then the equation that can be used to find n is; n + 77 = 90
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Assume that n represent the number of nickels in the jar.
Given that the jar contains only , pennies, nickels, dimes, and quarters. There are 28 pennies, 26 dimes, and 23 quarters. The rest of the coins are nickels.
This means that the total number if pennies, dimes and quarters would be;
23 + 28 + 26 = 77
This means that the number of coins that are not nickel = is 77
The total number of coins in the jar is 90. Therefore, the equation that can be used to find n is;
n + 77 = 90
n = 90- 77
n = 13 nickels
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report a stolen credit card to EFTA or PCI standards?
Answers
The correct matching of EFTA and PCI standards are:
A) EFTA
Report a debit card as stolen.Put a stop payment on automatic withdrawals.(B) PCI
Protect credit card information.Uphold a secure network.What is Electronic Fund Transfer Act (EFTA)?The purpose of the Electronic Fund Transfer Act (EFTA), a law passed by Congress, is to safeguard consumer financial transactions made using electronic tools like debit cards and automated teller machines (ATMs).The purpose of the Payment Card Industry Data Security Standard (PCI DSS) is to guarantee that financial institutions, such as banks, have a robust and secure network architecture to safeguard clients' personal information.So, match the following as follows:
(A) EFTA
Report a debit card as stolen.Put a stop payment on automatic withdrawals.(B) PCI
Protect credit card information.Uphold a secure network.Therefore, the correct matching of EFTA and PCI standards are:
A) EFTA
Report a debit card as stolen.Put a stop payment on automatic withdrawals.(B) PCI
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Complete question:
Match the correct EFTA and PCI Standards.
report a stolen debit card
protect credit card data
place a stop payment on
recurring payments
maintain a secure network
دیا
A new restaurant just opened up in your
neighborhood. One soda costs $2.75, and five
sodas cost $13.75. Is the cost a proportional or
non-proportional relationship?
proportional
not enough information
non-proportional
Answers
The cost for the soda is proportional.
How to calculate the value?For there to be a proportional relationship, there must be a constant.
In this case, one soda costs $2.75.
Also, five sodas cost $13.75. The cost per soda will be:
= $13.75 / 5
= $2.75
Since the values of $2.75 are the same, it has a proportional relationship.
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Mia has set up a lemonade stand outside her house and sells small cups and large
cups of lemonade. Each small cup holds 12 ounces of lemonade and each large cup
hold 22 ounces of lemonade. Mia sold 80 cups of lemonade totaling 1460 ounces.
Determine the number of small cups sold and the number of large cups sold.
Answers
Answer:
small cups: 30large cups: 50Step-by-step explanation:
You want the number of small (12 oz) cups and large (22 oz) cups sold if 80 total cups and 1460 ounces were sold.
SetupWe can let x represent the number of large cups sold. Then 80-x is the number of small cups sold, and the total ounces of lemonade sold are ...
12(80 -x) +22x = 1460
SolutionSimplifying the equation gives ...
960 +10x = 1460
10x = 500
x = 50
Then the number of small cups sold is ...
80 -x = 80 -50 = 30
30 small cups and 50 large cups were sold.
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