MATHEMATICS HIGH SCHOOL

Simplify a × 3a3b.

A. 6a4b2
B. 2a4b7
C. 4a2b2
D. 3a4b

Answers

Answer 1

Answer:

Answer:

D. $3a^4b$

Step-by-step explanation:

We have: $a.3a^3b$ in order to simplify this expression, we have to apply the rule of the exponents.

This rule says that:

$a^b.a^c=a^(^b^+^c^)$

If you have the same base, the exponents can be added.

We can rewrite the expression $a.3a^3b$ as $3(a.a^3)b$

Then we have:

$a.a^3=a^1.a^3=a^(^1^+^3^)=a^4$

Finally:

$a.3a^3b=3(a^4)b=3a^4b$

The correct option is D.

Answer 2

Answer: $Use:a^n\cdot a^m=a^(n+m)\n\na\cdot3a^3b=3a^(1+3)b=3a^4b\n\nAnswer:\boxed{D.\ 3a^4b}$

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Simpify this expresion 7+5h+2h+7h2–2h2

The area of a rectangle is 1,035 square centimeters if the lengthy of the rectangle is 3 centimeters what is the width of the rectangle

Answers

area of rectangle = 1035 cm^2
length of rectangle = 3 cm
width of rectangle = ?

area = length *width

1035 = 3*w

w = 1035/3

w = 345

sana makatulong to sayu

ANYONE???????? PLZ HELP ASAP:Indicate in standard form the equation of the line through the given points.
K(6, 4), L(-6, 4)

Can you lead me through the steps because I'm not getting this at all...

Answers

Equation of a straight line: y = mx + c. m is the gradient while c is the y-intercept.
gradient m = (y2 - y1) / ( x2 - x1)
from the given coordinates, x1 = 6, x2 = -6, y1= 4, y2 = 4
m = (4 - 4) / ( -6 - 6) = 0/12 = 0
to find y- intercept, we solve for c using any of the given coordinates.
4 = 0x + c
c = 4
the equation of the line: y = 0x + 4
Standard form = ax + by = c
0x + y = 4
y = 4

PLEASE ANSWER QUICKLY!!

What is the value of c?

[Blank] units

Answers

Since it’s a 90° angle if u draw it on a grid with the given units C would be 5 until a when measured

There are five different colored cards in a hat (red, blue, green, yellow, and black). A card is randomly drawn and not replaced. Then a second card is drawn. What is the probability that the first card will be red and the second card will be blue?4%
5%
20%
25%

Answers

The probability that the first card will be red, and the second card will be blue is 5%

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

P(event) = favorable outcomes / possible outcomes

p(red) = 1 / 5

p(blue) = 1 / 4 (since, the card is not replaced)

We know that, the probability that the first card will be red, and the second card will be blue: p(red then blue) = p(red) × p(blue)

p(red then blue) = 1 / 5 × 1 / 4 = 1 / 20

= 5%

Hence, the probability that the first card will be red, and the second card will be blue is 5%

Learn more about probability, click;

brainly.com/question/30034780

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Hi there!

First, for any of the five cards being drawn, there is a 1/5 chance, or 20%. So, the probability of a red card being drawn is 1/5. Then, since the card is not replaced, it becomes a 1/4, or 25%, chance of any card being drawn (besides red). So, the probability of a blue card being drawn is 1/4. So in order to find what the question is asking, we'll need to multiply the two fractions together.

1/5 x 1/4 = 1/20

1/20 = 5%

Therefore, the correct answer is 5%, or the second option.

Hope this helps!! :)

If f(2)=pi+7 then f^-1(pi+7)=?

Answers

Answer: The required value of $f^('-1)(\pi+7)$ is 2.

Step-by-step explanation: We are given the following value of a function f :

$f(2)=\pi+7.$

We are to find the value of $f^(-1)(\pi+7).$

We know that

For any function g(x) = y,

$g^(-1)(y)=x.$

Applying the above rule in equation (i), we get

$f(2)=\pi+7\n\n\Rightarrow f^(-1)(\pi+7)=2.$

Thus, the required value of $f^('-1)(\pi+7)$ is 2.

Hello,

$f(2)=\pi + 7\n\n 2=f^(-1)\ o\ f(2)=f^(-1) (f(2))=f^(-1)( \pi + 7 })$

Christiana works at Texas Road House and makes $50 each night in tips plus $7.50 per hour. Write a function rule in function notation where M is the total money she makes and h is the number of hours she works in one night.