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Quarter 2 Lesson 4: Scientific Notation

All Vocabulary words learned in 2020
A base is the number being used as a factor in an exponential expression.
An exponent is the number that shows how many times a base is used as a factor.
An equation is a statement that tells you two expressions are equivalent.
A cube root is any number that is multiplied together three times to get the original number.
A perfect cube is the product of an integer multiplied together three times.
A repeating decimal is a decimal that never ends but instead repeats the same digit or group of digits over and over.
A terminating decimal is a decimal that ends, or terminates.
An irrational number is a number that cannot be expressed as the quotient of two integers. The decimal never terminates or repeats.
A rational number is a number that can be expressed as the quotient of two integers.
A power of ten is a number that can be written as a product of tens.
Scientific Notation is a way to express a number as the product of a number greater than or equal to 1 but less than 10 and a power of ten.
A function is a relationship between an independent variable,x, and a dependent variable,y, where each value of x (imput) has one and only one value of y (output)

Answer:

32.6

Step-by-step explanation:

when you plug in for s and r you will get 66-33.4 since 5.5 multiped by 12 is 66 and 8.35 multiplied by 4 is 33.4 .

then you subtract them and that's how you'll get your answer

Answer:

1/4

Step-by-step explanation:

you add 3+2=5+2=7+1=8 which is the total amount 8. Then the question is asking What is the probability that Kelsha will choose

an orange marble then the orange marble is 2 which is 2/8. Then simplify 2/8 get to 1/4.

Answer:

C. X = 1/2

Step-by-step explanation:

4x - 3 + 5 = 2x + 7 - 8x

      4x +2 = - 6x + 7

    4x + 6x = 7 - 2

           10x = 5

               x = 1/2

Answer:

$32.10

Step-by-step explanation:

If you have sales tax, you would first convert the percentage to decimal, or 0.07. Then you would take this number, and add it to one before you multiply it by the price of the sweatshirt. This makes sure that you're not just calculating the sales tax, but the overall price of the shirt. So if you multiply:

30 x 1.07 = 32.1

Add the units, and you get $32.10

Hope this helps!

Answer: The answer is $32.10

Step-by-step explanation: i forgot to put my answer in the answers not comments

Answer:

Concept: Statistics

Answer:

u will try urself ......okay ...

...

Answer:

The vertical distance in feet that the plane traveled was 4 Km

Step-by-step explanation:

The Slope of a Line

Suppose we know a line passes across points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The airplane ascent will be modeled with the equation of a line because we are given a constant slope of m=2/3. We also know the horizontal distances are x1=1 Km and x2=7 Km. Substituting in the formula above:

[tex]\displaystyle \frac{2}{3}=\frac{y_2-y_1}{7-1}[/tex]

Operating:

[tex]\displaystyle \frac{2}{3}=\frac{y_2-y_1}{6}[/tex]

Solving for y2-y1, we get the vertical distance traveled by the plane:

[tex]\displaystyle y_2-y_1=6*\frac{2}{3}=4[/tex]

Thus, the vertical distance in feet that the plane traveled was 4 Km

Answer:

(-3,4)   (3,4)  

Step-by-step explanation:

Down means you are dealing with the y value of the pair of points.  It also means that you are going into negative territory.

(-3 ,1 -5) and (3, 1-5)

New point

(-3 , - 4) and (3,-4)

Now if you reflect this point across the x axis, you are still changing the y value. You will go from - 4 to + 4

(-3,4)   (3,4)   <<<<< answer

Answer:

The answer is 6

Step-by-step explanation:

42 divided by 7=6

Answer:

( B ) lng = 5

Step-by-step explanation:

Answer:

log_(12(144))=2

Step-by-step explanation:

Answer:

[tex]log_{12}[/tex] 144 = 2

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Given

12² = 144 ← in index form

with b = 12, n = 2, x = 144, then

[tex]log_{12}[/tex] 144 = 2 ← in logarithmic form

Answer:

C. 50ft

Step-by-step explanation:

Perimeter is the outside and in perimeter you add

The length is 15ft

The width is 10ft

There are 4 sides so you want to add the length and width 2 times

L = 15 + 15 = 30

W = 10 + 10 = 20

Then add it all together

30 + 20 = 50

Hope this helps dude

Answer:i i think Brenda 10

Step-by-step explanation:

Age problems are the algebra word problem which deals with the ages of people in the present time.

Given information-

Abigail is 5 years older than Brenda.

Brenda is twice as old as Carly.

The total of their ages is less than 40.

Age problems are the algebra word problem which deals with the ages of people in the present time.

Suppose Abigail is A, Brenda is B and Carly is C years old.

As Abigail is 5 years older than Brenda. Thus,

[tex] A=B+5[/tex]                .... 1

As Brenda is twice as old as Carly. Thus,

[tex]C=\dfrac{B}{2} [/tex]                    ..... 2

As the total of their ages is less than 40.

[tex]A+B+C=40[/tex]

Keep the values of A and C from the equation 1 and 2 in the above equation,

[tex]\begin{aligned}\\ B+5+B+\dfrac{B}{2} &=40\\ 2B+\dfrac{B}{2} &=35\\ \dfrac{4B+B}{2}&=35\\ B&=\dfrac{35}{5} \times2\\ B&=14\\ \end[/tex]

Thus the Brenda is 14 year old. As the Abigail is 5 years older than Brenda. Thus the age of the Abigail is,

[tex]A=14+5\\ A=19[/tex]

Thus the Abigail is 19 year old.

Learn more about the age related problem here;

https://brainly.com/question/91727

Answer:

4.8

Step-by-step explanation:

Answer:

-7/2

Step-by-step explanation:

Use distributive property: a(b +c) = a*b +a*c

-2(y-1) = 9

y*(-2) - 1*(-2) = 9

-2y + 2  = 9  {Subtract 2 from each side}

-2y       = 9 - 2

      -2y = 7       {Divide each side by -2}  

         y = 7/-2

y = -7/2

Answer:

Step-by-step explanation:

[tex]V=\frac13\cdot A_b\cdot H[/tex]

[tex]A_b[/tex]  - Base Area

H - Height of the pyramid

Base is regular triangle:  [tex]A_b=\dfrac{8^2\sqrt3}4[/tex]

The volume:

                    [tex]V=\dfrac13\times \dfrac{8^2\sqrt3}4\times 12=64\sqrt3\approx110.9[/tex]

1 gallon of gas for William= 37.76 ÷ 16= 2.36 $

1 gallon of gas for Regina= 14.64 ÷ 6= 2.44 $

so william got a better deal per gallon.

Answer:

Step-by-step explanation:

72 = 72×1

144 = 72×2

288 = 144×2 = 72×4

So each of 72 plates would have one cupcake, two apples and four chocolate bars.

{72 is the highest common factor for numbers 72, 144 snd 288}

Answer:

100/ 56

Step-by-step explanation:

100/65 because 0.65 is a decimal number

hope it helps!

Answer:

100/65 because 0.65 is in decimal

Answer:

No Idea I'm On Schoology

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Because it can only lift 2,200 pounds and that means it can lift 2,200 - 0 Pounds

Answer:

0

Step-by-step explanation:

Multiply  − 1  by  − 6 . − 8 +6 + 2

Add  − 8  and  6 . − 2 + 2

Add  − 2  and  2 .

0

Answer:

48/5

Step-by-step explanation:

hope it helps!

......

Answer:

39 and 86.

Step-by-step explanation:

39 and 86 equal 125 when added. When 47 is subtracted from 86 you get 39.

Answer:D

Step-by-step explanation:

Answer:

n > 5

Step-by-step explanation:

Answer:

3n + 2 > 17

Step-by-step explanation:

3n + 2 > 17

-2 -2

3n > 15

÷3 ÷3

n > 5

Answer: B is the fastest way

Step-by-step explanation: How to solve this is a bit hard

8*1.1^n =12, so : ln(8) +n*ln(1.1) = ln(12), then

n = (ln(12) - ln(8))/ln(1.1) (≈ means around)4.3 weeks.

Answer: ANSWER IS [B]

Step-by-step explanation:

Answer:

I think f(t)=1/4t

Step-by-step explanation:

Because of you multiply 1/8 times 2, it gives you 1/4. Not 100% sure tho

If total time is t and There were 2 intermissions each the length of 1/ 8  of the talent show then function to find the number of minutes the talent show lasted, not including intermissions  is f(t)= 3t/4 minutes .

function is a relation from a  set  to another  set provided that each element of first set is related to a unique element of another set .

Here given that total time is t  minutes

And time of intermission is t/8 minutes

And there are total 2 intermissions

Hence function to find the number of minutes the talent show lasted, not including intermissions can be defined as

f(t)= total time - 2(time of intermission)

[tex]f(t) = t- 2\times \frac{t}{8}\\\\f(t)=t-\fract1}{4}\\\\f(t)=\frac{3t}{4}[/tex]

If total time is t and There were 2 intermissions each the length of 1/ 8  of the talent show then function to find the number of minutes the talent show lasted, not including intermissions  is f(t)= 3t/4 minutes .

To learn more about functions visit : https://brainly.com/question/25638609