A computer had 2 gigabytes of data stored on it when Jackie bought it, and she is storing an additional 3.5 gigabytes per year, as shown in the table below. Which of these statements is correct about the linear function that represents this situation? Amount of Data Stored on Jackie’s Computer Time (year) 0 1 2 3 4 Gigabytes of Data 2 2 + 3.5 = 5.5 5.5 + 3.5 = 9 9 + 3.5 = 12.5 12.5 + 3.5 = 16 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 initial value represents the 2 gigabytes per year that Jackie is storing, and the rate of change represents the 3.5 gigabytes of data stored on the computer when Jackie bought it. The initial value represents the 3.5 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 2 gigabytes per year that Jackie is storing. The initial value represents the 3.5 gigabytes per year that Jackie is storing, and the rate of change represents the 2 gigabytes of data stored on the computer when Jackie bought it. Mark this and return

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...

Answer:

y = 2

Step-by-step explanation:

Step 1:

6y + 18 = 30

Step 2:

6y = 12

Answer:

y = 2

Hope This Helps :)

Answer:

10^5=100000

Step-by-step explanation:

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 .

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 :)

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

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.

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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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 .

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]

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!

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

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

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).

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

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).

Learn more about the Expressions here :

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Answer:

A

Step-by-step explanation:

Answer: A: (4-g) 1.5

Step-by-step explanation:

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.

Answer: in a quiet room or the library,

also you better summarize your geometry lessons and remember the formulas :P

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)

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

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

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.

Answer:

X= Negative 2/3 or -0.6

Step-by-step explanation:

here you go

Answer:

1452.9

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

4x+2=18

   -2   -2

4x=16

divide both sides by 4 to get 4

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

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

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.

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

Answer: 4

Step-by-step explanation: cause the chart has 4 number 3

Answer:

only a

Step-by-step explanation:

Answer: The answer would be B

Step-by-step explanation: