Mathematics High School

(2a^3)^4(a^3)^3
simplify

Answers

Answer 1

Answer:

16a^21

Step-by-step explanation:

Answer 2

Answer:

16 a^21

Step-by-step explanation:

= (2a^3)^4 (a^3)^3

= (2^4 a^3*4) (a^3*3)

= (16a^12) (a^9)

= 16 a^21

Related Questions

7b−15=5b−3 solve for b

Answers

Step-by-step explanation:

7b-5b=-3+15

2b=12

b=12/2

b=6

Answer:

[tex]b = 6[/tex]

Step-by-step explanation:

1.) We need to manipulate the equation to get b by itself.

2.)  Subtract 5b from each side. Combine like terms. Add 15 to each side. Combine like terms. Divide each side by 2. Simplify.

Engineering=120+22x; Business=105-4x;Biology=98+6x; how many years will it be before Engineering has twice as many students as Business; how many years will it be before Engineering has twice as many students as Biology.

Answers

Answer:

Step-by-step explanation:

Given

Engineering=120+22x;

Business=105-4x;

Biology=98+6x;

If Engineering has twice as many student as biology then,;

120+22x = 2(98+6x)

Expand

120+22x = 196+12x

Collect like terms

120-196 = 12x-22x

-76 = -10x

x = -76/-10

x = 7.6

Hence it will take like 7 and a half years before engineering has twice as many student as biology

What is the axis of symmetry and y- intercept for the equation y = 3x² + 6x - 7 ?

Answers

Axis of symmetry is
x
=
1
, vertex is at
(
1
,
15
)
.
Explanation:
f
(
x
)
=
−
3
x
2
+
6
x
+
12
=
−
3
(
x
2
−
2
x
)
+
12
=
−
3
(
x
2
−
2
x
+
1
)
+
3
+
12
=
−
3
(
x
−
1
)
2
+
15
. Comparing with standard vertex form of equation
f
(
x
)
=
a
(
x
−
h
)
2
+
k
;
(
h
,
k
)
being vertex.
Here
h
=
1
,
k
=
15
. So vertex is at
(
1
,
15
)
.
Axis of symmetry is
x
=
1

graph{-3x^2+6x+12 [-40, 40, -20, 20]} [Ans]

Cody has a bag of 28 pencils. Each pencil is 18 centimeters long. What is the combined length of the pencils in meters?
The total length of all 28 pencils is __ meters.

Answers

Answer:

504

Step-by-step explanation:

Which set of values could be the side lengths of a 30-60-90 triangle?
A. (5,5,√2,10)
B. (5,5,√3,10)
C. (5,5,10,√2)
D. (5,10,10,√3)

Answers

Answer:

Step-by-step explanation:

In a right triangle, the three angles are 30, 60 and 90 respectively. Let the side opposite the 30 degree Angle be A. The hypotenuse is 2a.

According to Pythagorean theorem, the other side is equal to the square root of 4a -a = sqrt 3A.

And then we get: the side opposite the 30 degrees over the other side over the hypotenuse is equal to 1: sqrt 3:2.

So it will be B, 5, 10, 5sqrt3

The set of values that could be the side lengths of a 30-60-90 triangle is (5, 10, 10√3). The answer is option D.

What is a triangle?

A triangle is a closed two-dimensional geometric figure with three sides and three angles. It is the simplest polygon and is made up of three line segments that intersect at three points called vertices. The sum of the angles in a triangle is always 180 degrees.

In a 30-60-90 triangle, the side lengths are in the ratio:

1 : √3 : 2

So, if one side is x, then the other sides are x√3 and 2x.

Now, let's check the given sets of values:

A. (5, 5, √2, 10)

This set does not satisfy the ratio of the side lengths for a 30-60-90 triangle.

B. (5, 5, √3, 10)

This set does not satisfy the ratio of the side lengths for a 30-60-90 triangle.

C. (5, 5, 10, √2)

This set does not satisfy the ratio of the side lengths for a 30-60-90 triangle.

D. (5, 10, 10, √3)

This set satisfies the ratio of the side lengths for a 30-60-90 triangle, where the shortest side is 5, the longer leg is 5√3, and the hypotenuse is 10.

Therefore, the set of values that could be the side lengths of a 30-60-90 triangle is (5, 10, 10√3). The answer is option D.

To know more about triangles follow

https://brainly.com/question/19199937

#SPJ7

what is the product of 2/3 * 3/8

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

[tex] \frac{2}{3} \times \frac{3}{8} \\ cross \: out \: three \\ \frac{2}{1} \times \frac{1}{8} \\ divide \\ \frac{1}{4} [/tex]

PLEASE HELP ITS DUE AT nov 17 at 11:59

Answers

What are the situations the questions are referencing?

Solve the inequality: x^2 ·(x +9)·(x −5)≥0

Answers

Answer:

OH GOD

WHAT TYPE OF DEMON MATH IS THIS

Step-by-step explanation:

sorry but tbh i have NO FRICKING CLUE!!!

Answer:

Please look at the pic that is your answer.

WILL GIVE BRAINLIEST graph y=3x-5 using a table (show your work pls)

Answers

Answer:

The answer is (-5,3)

Step-by-step explanation:

Start at (0,0),then move 5 spaces left.Then 3 spaces up!!

Then you get (-5,3)

Hope this helps!!

Solve 15 ≥ -3x or 2/5x ≥-2
{x | x ≤ -5}
{all reals}
{x | x ≥ -5}

Answers

Answer: x ≥ -5

Step-by-step explanation: the 15 ≥ 3x is x ≥ -5 and 2/5x ≥-2 =x ≥ -5

Answer:

Answer: x ≥ -5

Step-by-step explanation:

There are 7 fourth-grade classes at Grant Elementary. Each class has 28 students. About how many students are in the fourth grade at Grant Elementary?
28 students
140 students
О 210 students
• 280 students

Answers

Answer:

by inuv6gh8vig

Step-by-step explanation:

rydyctcyvuvubig8g

Answer:

210

Step-by-step explanation:

because you multiply 7 and 28 to get 196, and 210 is the closest thing to that. Hope this helped

: )

can someone help me

Answers

The second one! Hope this helps!

Find the slope of the line that passes through (10,9) and (5,11)

Answers

Answer:

-2.5

Step-by-step explanation:

Car Survey In a survey of 1.700 people who owned a certain type of car, 680 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car? % of the people surveyed were satisfied with the car . (Type a whole number)

Answers

Answer:

40%

Step-by-step explanation:

Total number of people who took the car survey = 1700

Number of people satisfied with a certain type of car = 680

Percent of satisfied people with the car

= [tex]\frac{\text{Total number of satisfied people with the car}}{\text{Total number of people surveyed}}\times 100[/tex]

= [tex]\frac{680}{1700}\times 100[/tex]

= 40%

40% of the people surveyed were surveyed with the car.

solve 7x> 5x + 2. show the graph of the solution on the number line

Answers

Answer:

i cant do the number line but the answer is x<1

Step-by-step explanation:

Sue is shopping for a turkey. At Stater Bros., she found an 18 lb turkey for $21.42. At Ralphs, she found a 20 lb turkey for $24.20. At Food for Less, she found a 17 lb turkey for $18.36. Tasks: Find the price per pound of each turkey. Stater Bros.: Ralphs: Food for Less: Which store has the best price? Store name:

Answers

Answer: See explanation

Step-by-step explanation:

At Stater Bros., she found an 18 lb turkey for $21.42. The cost per pound will be:

= $21.42 / 18

= $1.19 / lb

At Ralphs, she found a 20 lb turkey for $24.20. The cost per pound will be:

= $24.20 / 20

= $1.21 / lb

At Food for Less, she found a 17 lb turkey for $18.36. The price per pound will be:

= $18.36 / 17

= $1.08 / lb

Based on the explanation, Food for Less has the best price as it's cheaper than others.

Como se resuelve un circuito en serie matemáticamente?

Answers

Answer:

Step-by-step explanation:

En un circuito en serie, toda la corriente pasa a través de cada uno de los resistores, uno a la vez. Esto significa que cada resistor contribuye su resistencia completa al circuito. Si conoces el valor individual de cada resistencia, solo súmalos para encontrar la resistencia total del circuito.

In a series circuit , all of the current passes through each of the resistors, one at a time. This means that each resistor contributes its full resistance to the circuit . If you know the individual value of each resistor, just add them together to find the total resistance of the circuit .

The standard deviation of the ratings for Apple devices is 3.762. Interpret this value in a full sentence.

Answers

Answer:

Individual ratings variation from average ratings for apple devices, is on average 3.762.

Step-by-step explanation:

Standard Deviation is a measure of dispersion, around the average value (mean).

Formula : Σ I (x - u)^2 I , where u = mean, n = no. of units

Standard Deviation of the ratings for Apple devices is 3.762, implies that :-

Individual ratings variation from average ratings for apple devices, is on average 3.762.

PLEASE HELP, DUE TODAY AND IM STUCK, ITS TWO QUESTIONS, WILL GIVE BRAINLIEST ♥
Drop down options for #4:
13
4x
-4x
3
-3

Answers

Answer:

#4: Blank 1: 4x, Blank 2: 3; #5: A) or D)

Step-by-step explanation:

Question 4: 4x, 3

Divide using the rules of synthetic divison (see Khan Academy)Blank 1: 4xBlank 2: 3

Question 5: A) or D)

B) and C) are automatically out- they have the wrong notationIt's either A) or D) - don't know for sure

Suppose the price of admission to the state fair is $9.50, and each ride costs an additional $2.25.

Karen is going to the state fair. If she can spend at most $50, which inequality can be used to solve for r, the number of rides Karen can go on?

A) 9.50 + 2.25r ≥ 50
B) 9.50r + 2.25 ≥ 50
C) 9.50 + 2.25r ≤ 50
D) 9.50r + 2.25 ≤ 50

Answers

Answer:

Step-by-step explanation:

You need to multiply the variable by how much each ride costs.

Which of these statements is true for f(x) = (9/10)X?
O A. It is always decreasing.
B. The domain of f(x) is x > 0
C. The range of f(x) is y > 9/10
D. The y-intercept is (0,1)

Answers

Answer:The y-intercept is (0,1)Hope this helps!!:)

The correct answer is D! The y-intercept is (0,1) !!

A recipe for chicken marinade says, ''Mix 3 parts oil with 2 parts soy sauce and 1 part orange juice. ''if you need 42 cups of marinade in all,how much of each ingredient should you see?

Answers

Answer:

Parts of oil in 42 cups of marinade = 21 cups

Parts of soy sauce in 42 cups of marinade = 14 cups

Parts of orange juice in 42 cups of marinade = 7 cups

Step-by-step explanation:

Given that:

Parts of oil = 3

Parts of soy sauce = 2

Part of orange juice = 1

Total cups of marinade = 42

To find:

How much of each ingredient should be there ?

Solution:

This problem can be solved by taking the ratio of ingredients into account.

The ratio is:

Oil : Soy Sauce : Orange Juice = 3 : 2 : 1

So, we can let the parts of oil = [tex]3x[/tex]

Parts of soy sauce = [tex]2x[/tex]

Parts of orange juice = [tex]x[/tex]

As per the question statement:

[tex]3x+2x+x=42\\\Rightarrow 6x=42\\\Rightarrow x =7[/tex]

So, parts of oil in 42 cups of marinade = 3 [tex]\times[/tex] 7 = 21 cups

Parts of soy sauce in 42 cups of marinade = 2 [tex]\times[/tex] 7 = 14 cups

Parts of orange juice in 42 cups of marinade = 7 cups

In Ms. Jordan's math class,
● there are 4 more female students than male students;
● the number of male students is 23 the number of female students.
Let x represent the number of male students and y represent the number of female students.
Which system of equations can be used to determine the total number of students in Ms. Jordan's math class?

Answers

Answer:

there are 27 female

Step-by-step explanation:

Glen is making accessories for the soccer team. He uses 536.25 inches of fabric on headbands for 37 players and 2 coaches. He also uses 325.97 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

Answer:

For Headband

Each player used 13.75 inches of fabric

For Wristband

Each player used 8.81 inches of fabric

Step-by-step explanation:

Glen is making accessories for the soccer team.

For head bands :

He uses 536.25 inches of fabric on headbands for 37 players and 2 coaches.

Let the inches of fabric used be represented by x

536.25 = 37 x + 2x

536.25 inches = 39x

x = 536.25 inches/39

x = 13.75 inches of fabric.

For Wristbands

He also uses 325.97 inches of fabric on wristbands for just the players.

Let y represent the inches of fabric used for players

We have 37 players

Hence:

325.97 = 37y

y = 325.97 inches/37

y = 8.81 inches

Therefore:

For Headbands

Each player used 13.75 inches of fabric

For Wristbands

Each player used 8.81 inches of fabric

segment QS bisects m

Answers

Answer:

What is your question?

Put your question in the replies to this answer and I'll gladly help you

May I have brainliest please? :)

Howard draws a car scale drawing where 4 cm represents 2 meters. The car is 8
meters long. How many centimeters long will the car be in Howard's drawing?

Answers

Answer:

Step-by-step explanation:

because if 4 represents 2 meters than 4 plus 4 equals 8 which is two times

helpppp!! its number 6!

Answers

Answer:

$4.50

Step-by-step explanation:

what you do is divide $22.50 by 5 pounds

Alright here me out...

if Pinocchio said his nose grows when he lies he would be telling the truth and lying at the same time since his nose didn't grow. So what would happen....

Answers

Answer: Well he didn't lie so his nose wouldn't grow. Can i have brainliest?

Step-by-step explanation:

Hope this helps!!

5 1/5 + 4 3/5 please help

Answers

Answer:

9 4/5

Step-by-step explanation:

5 1/5+4 3/5

26/5+23/5

lcm of the denominator is 5

26+23 everything all over 5

49/5

9 4/5

Answer:

Step-by-step explanation:

5 1/5 + 3 3/5 =

26/5 + 18/5 =

45/5 =

hi need help on this thankssss

Answers

Answer:

i believe it is 2/1. I"m not 100% sure though

Step-by-step explanation:

If you connect the two points (0, -3 and 1, -1) it rises 2 and runs (goes across) 1

Answer:

2 or if you want it in a fraction form 2/1 or 4/2

Step-by-step explanation:

Hope this helps :)

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(2a^3)^4(a^3)^3 simplify

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(2a^3)^4(a^3)^3
simplify