Answer:The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.
The statement first is correct because 2GB represents the initial data and in the second term 3.5GB represents the rate of change of data per year.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
Initial data when Jackie bought = 2 gigabytes
Rate of change of data per year:
[tex]\rm\frac{dB}{dt} = 3.5[/tex]
We can frame a linear function such that:
[tex]\rm y = 2 + n(\frac{dB}{dt})[/tex]
[tex]\rm y = 2 + 3.5n[/tex]
Where y represents the total data stored at n years.
And n represents the [tex]\rm n^{th}[/tex] year
When n = 0 then y = 2 (initial data when Jakie bought it)
When n = 1 then y = 5.5 (after one year the amount of data Jakie's computer has)
Term 2 represents the initial data and term 3.5 represents the rate of change of data per year.
Therefore, the initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.
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Lin makes a line plot to show the data in the table. He places one dot above the 2 on the scale .How many dots should he place above the 3
Answer: 4
Step-by-step explanation: cause the chart has 4 number 3
factorise ax + ay + 3bx + 3by
Factor like terms..
(ax + ay) + (3bx + 3by)
= a(x + y) + 3b(x + y)
Finally, group the common factors of x + y and collect the terms to get:
(x + y )(a + 3b)
The factors of the given expression are (x + y ) and (a + 3b).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
We have been given that expression as :
ax + ay + 3bx + 3by
We have to factorize the given expression.
⇒ ax + ay + 3bx + 3by
Factor like terms.
⇒ (ax + ay) + (3bx + 3by)
⇒ a(x + y) + 3b(x + y)
Take out the common factors of x + y and combine the terms to get:
⇒ (x + y )(a + 3b)
Therefore, the factors of the given expression are (x + y ) and (a + 3b).
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A sequence of numbers consists of natural numbers that are
not perfect squares. What is the 1000th member of this
sequence?
Given :
A sequence of numbers consists of natural numbers that are
not perfect squares.
To Find :
The 1000th member of this sequence .
Solution :
Now , [tex]31^2=961[/tex] and [tex]32^2=1024[/tex] .
So , there are 31 numbers before 1000 which are perfect square .
Therefore , the [tex]999^{th}[/tex] is 1000+31 = 1031 .
Also , the first perfect square after 1000 is 32 .
So , we have to continue to 1031 + 1 = 1032 to compensate for the 32nd square.
Therefore , the 1000th member of this sequence is 1032 .
Hence , this is the required solution .
What is the answer to 4x+2=18
Answer:
x=4
Step-by-step explanation:
4x+2=18
-2 -2
4x=16
divide both sides by 4 to get 4
Select all the points that are on the graph of the equation 4y-6x=12 a (-4, -3) b (3, -4) c (0, -2) d (0, 3) e (6, 4) f (-1, 1.5)
Answer:
a,b,d,f
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask :)
6(y + 3) = 30
(ignore this i8)
Answer:
y = 2
Step-by-step explanation:
Step 1:
6y + 18 = 30
Step 2:
6y = 12
Answer:
y = 2
Hope This Helps :)
Find x
A) 4
B) 4 root 2
C) 4 root 3
D) 8 root 3
This triangle is a 30-60-90 triangle, which you can just find by solving for the unknown angle in the triangle, making it a 30-60-90 triangle.
You'll need to memorize the side lengths for these triangles, but the side opposite from the hypotenuse (x in this case), will be half the length of the hypotenuse.
Meaning that [tex]2x=8[/tex]
So [tex]x=4[/tex]
Hope this helps.
頑張って!
Were should I go to study for my 10 grade geometry Fundamentals test which is tomorrow :[
Answer: in a quiet room or the library,
also you better summarize your geometry lessons and remember the formulas :P
Floyd has just opened his new sandwich shop. He makes $3.00 on every sandwich sold and his monthly expenses
are $5,000. Which equation can be used to model the number of sandwiches, s, he needs to sell in a month in order to
make a profit, P?
O P = 5,000 - 35
O P = 5000 + 35
O P = 3s - 5000 6
Os= 5000-P
0
Answer:
I think the answer is P=3s-5000
Step-by-step explanation:
you wouldn't subtract anything from the 5000, you would subtract the 5000 from how much you made from the sandwiches.
hope that helps
PLEASE HELP I HAVE 20 POINTS The mass of the Eiffel Tower is about 9.16 ⋅ 10^6 kilograms. The mass of the Golden Gate Bridge is 8.05 ⋅ 10^8 kilograms. Approximately how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower? Show your work and write your answer in scientific notation. (10 points)
Step-by-step explanation:
8.05 * 10^8 - 9.16 * 10^6
= 10^6 * (8.05 * 10^2 - 9.16)
= 10^6 * (805 - 9.16)
= 10^6 * (795.84)
= 10^8 * 7.9584
Therefore the answer in scientific notation is 7.9584 * 10^8.
Alr im not smart ok sorry to not answer it right but i think its 2^2 kilograms
Find all possible values of the expression 1/y if: .125
Answer:
The possible values for 1/y of the expression 0.125 < y < 0.25 are in the range
4 < 1/y < 8
Step-by-step explanation:
The given information are;
The range of values of y are 0.125 < y < 0.25, therefore, we have;
The boundaries of the function, y are 0.125 and 0.25
The inverse of the boundaries of the function, y are 1/0.125 = 8 and 1/0.24 = 4
Therefore;
The limits of the inverse of the function y are ;
The inequality that represents 1/y is therefore;
1/0.25 < 1/y < 1/0.125 or 4 < 1/y < 8
The possible values of 1/y for the expression 0.125 < y < 0.25 are therefore;
4 < 1/y < 8.
Can someone please help me with this problem? In the picture down below. WILL MARK BRAINLIEST!!!
Answer:
only a
Step-by-step explanation:
Answer: The answer would be B
Step-by-step explanation:
2/3 - 4x + 7/2 = -9x + 5/6 need help asap please!
Answer:
X= Negative 2/3 or -0.6
Step-by-step explanation:
here you go
A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.50. A table titled Lotion, showing Ounces, Cost per Ounce, and Total. The first row shows, Oil Blend, and has 4 minus g, 1.50, and x. The second row shows Glycerin, and has g, 1.00, and blank. The third row shows, Mixture, and has 4, blank, and 5.50. Which value could replace x on the table? (4 – g) 1.5 (4 – g) + 1.5 4g – g(1.5) (4 – g)g'
Answer:
A
Step-by-step explanation:
Answer: A: (4-g) 1.5
Step-by-step explanation:
can you please tell me the ans of my questions. the right ans with the process
Answer: i) 216 liters ii) 60 cm
Step-by-step explanation:
i) 216,000 cm³ × 1 liter/1000 cm³ = 216 liters
ii) [tex]\sqrt[3]{216,000\ cm^3} =60\ cm[/tex]
the weights of students in a junior college are normally distributed with a mean of 100 lbs. and a standard deviation of 18 lbs. What is the probability that a student drawn at random will weigh less than 150 lbs
Answer: 0.9973 .
Step-by-step explanation:
Given: Weights of students in a junior college follows normal distribution with a mean = 100 lbs and a standard deviation =18 lbs.
Let X denotes the random variable that represents the weights of students .
Then, the probability that a student drawn at random will weigh less than 150 lbs will be :
[tex]P(X<150)=P(\dfrac{X_\mu}{\sigma}<\dfrac{150-100}{18})\\\\=P(Z<2.78 )\ \ \ \ [Z=\dfrac{X_\mu}{\sigma}]\\\\ =0.9973\ \ \ [\text{By p-value table for z}][/tex]
Hence, the e=required probability is 0.9973 .
Use the protractor tool to measure the angle.
What is the measure of the angle? Enter the answer in the box.
degrees
Answer: i belive its 140 i really coudn't tell.
Step-by-step explanation:
I used the protactor and I aligned it agaist the problem. Hope this helps. :)
By that i meant i got my protactor and I aligned it on the tiny dot you can see, the arrow pointed onto the number. I really don't think there is much to explain. If their is any confusion i will re-write it.
Answer:
the answer for this question is 110
Write an equation to represent each situation. a) Blueberries are $4.99 a pound. Diego buys b pounds of blueberries and pays $14.95. b) Blueberries are $4.99 a pound. Jada buys p pounds of blueberries and pays c dollars. c) Blueberries are d dollars a pound. Lin buys q pounds of blueberries and pays t dollars.
Answer:
A) $4.99b = $14.95
B) $4.99p = $c
C) $qd = $t
Step-by-step explanation:
A) We are told that cost of blueberries is $4.99 a pound.
Now, Diego buys b pounds of blueberries and pays $14.95.
Since 1 pound costs $4.99, then b pounds will cost $4.99b
Since he paid $14.95, then the equation is;
$4.99b = $14.95
B) We are told that cost of blueberries is $4.99 a pound.
Now, Jada buys p pounds of blueberries and pays $c.
Since 1 pound costs $4.99, then p pounds will cost $4.99p
Since he paid $c, then the equation is;
$4.99p = $c
C) We are told that cost of blueberries is $d a pound.
Now, Lin buys q pounds of blueberries and pays $t.
Since 1 pound costs $d, then q pounds will cost $qd
Since he paid $t, then the equation is;
$qd = $t
What is 10^5 as a decimal
Answer:
10^5=100000
Step-by-step explanation:
What is the value of sin(60°+0) - sin(60°+0)?
Answer:
0
Step-by-step explanation:
Let us take sin(60 degree + theta) =x
Substituting x in equation
=> x-x
=> 0
Step-by-step explanation:
Hey there!!
= Sin (60°+0) - sin (60°-0)
= sin 0° - sin0° { as sin0° = 0}.
= 0-0
=0.
Hope it helps...
If one leg of a right triangle is 6 cm long, and the other leg is 8 cm long, how long is the triangles hypotenuse?!!
Answer:
approximately 9
Step-by-step explanation:
6 squared (36) plus 8 squared (64) is 84, and the square root of that is about 9
Answer:
10cm
Step-by-step explanation:
a²+b²=c²
6²+8²=c²
36+64=c²
100=c²
10=c
6
Triangle RST has the vertices R(2, 3), S(-2, 1), and T(-1,5). What are the coordinates after the
two transformations:
Reflection over the y-axis and rotation at 180 degrees around the origin. *
(2 points)
Enter your answer
Please and thank you
Answer:
R(-2,-1)
S(-1,-5)
T(2,-3)
Step-by-step explanation:
First, you flip all coordinates to their exact points, just of the other side of the y-axis.
Then, you just gotta graph it and rotate it 180* around the origin.
what is the solution of the system of linear equations? y = 3x - 2 y - 2 = x
Answer:
x = 2 y = 4
Step-by-step explanation:
y = 3x - 2
x = y - 2
Plug in the equation of x into the first equation and solve for y.
y = 3x - 2
y = 3(y - 2) - 2 Multiply out
y = 3y - 6 - 2
y = 3y - 8 Add 8 to each side
y + 8 = 3y - 8 + 8 8 cancels on the right
y + 8 = 3y Subtract y from each side
y - y + 8 = 3y - y The y on the left cancels
8 = 2y Divide each side by 2
8/2 = 2y/2 2 on the right cancels because 2/2 = 1
8/2 = y
4 = y
Now plug your answer into the 2nd equation given to solve for x.
x = y - 2
x = 4 - 2
x = 2
What is the difference between the high and low temp in the thermometer?
Answer:
The difference between the high and low temperature in the thermometer is 23°F.
Step-by-step explanation:
Given information: Highest temperature = 20°F and the lowest temperature = -3°F.
We need to find the difference between the high and low temperature in the thermometer.
Difference between the high and low temperature is
Difference = Highest temperature - Lowest temperature
Difference = 20°F - (-3°F)
Difference = 20°F + 3°F
Difference = 23°F
Therefore the difference between the high and low temperature in the thermometer is 23°F.
foil (3x-5)(x+6) need the answer ASAP
Answer:
3x²+13x-30
Step-by-step explanation:
3x×x =3x²
3x×6= 18x
-5×x = -5x
-5×6=-30
Connect them together to form:
3x²+13x-30
(I got the 13x by doing 18x-5x)
Given h(t) = t2+t+ 12 and k(t) = V1-1, evaluate (ko h)(10).
O 11
0 24
O 122
366
Answer:
A-11
Step-by-step explanation:
Correct on EDGE
The value of the function k(h(10)) will be 11. The correct option is A.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given h(t) = t²+t+ 12 and k(t) = √t-1, we are to find k(k.h)(10)
k{h(t)} = k{ t²+t+ 12}
Since k(t)= √t-1, we will replace the variable t in the function with t²+t+ 12
k(h(t)) = √{(t²+t+ 12)-1}
k(h(t)) = √t²+t+12-1
k(h(t)) = √t²+t+11
Substituting t = 10 into the resulting function;
k(h(10)) = √(10)²+(10)+11
k(h(10)) = √100+10+11
k(h(10)) = √121
k(h(10))= 11
Therefore, the value of the function k(h(10)) will be 11. The correct option is A.
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A car dealership pays $8,350 for a car. They mark up the price by 17.4% to get the retail price. What is the retail price of the car at this dealership? Round your answer to the nearest hundredths (second) decimal place.
Answer:
1452.9
Step-by-step explanation:
(-4x2)^2 / 2-9-5 how do I simplify
Answer:
-16/3
Step-by-step explanation:
To solve for this use the mnemonic device PEMDAS (parenthesis, exponent, multiplication, division, addition, subtraction)
First multiply -4 and 2 (-8)
(-8)^2/2-9-5
Next find out what -8 squared is (64)
64/2-9-5
Now simplify the denominator
64/-12
Lastly, divide 64 and -12
-16/3
Help me please!!!!!!!!!
Answer:
[tex] { \:( {6}^{10})}^{ - 7} [/tex]
Step-by-step explanation:
For all choices the exponent are addeed not multiplied.
hope it helps ❤❤❤
For any question comment me
Plea help me get the answer