Answers
Reason:
The numerator is [tex](2.1)^5[/tex]
Raising that to the third power gives
[tex]((2.1)^5)^3 = (2.1)^{5*3} = (2.1)^{15}[/tex]
We multiply the exponents. The general rule is
[tex](a^b)^c = a^{b*c}[/tex]
Use that same rule to cube the denominator.
[tex]((0.9)^4)^3 = (0.9)^{4*3} = (0.9)^{12}[/tex]
Therefore,
[tex]\left(\frac{(2.1)^5}{(0.9)^4}\right)^3=\frac{((2.1)^5)^3}{((0.9)^4)^3}\\\\=\frac{(2.1)^{5*3}}{(0.9)^{4*3}}\\\\=\frac{(2.1)^{15}}{(0.9)^{12}}\\\\[/tex]
In short
[tex]\left(\frac{(2.1)^5}{(0.9)^4}\right)^3=\frac{(2.1)^{15}}{(0.9)^{12}}\\\\[/tex]
Related Questions
A group of 8 students was asked, "How many hours did you watch television last week?" Here are their responses.
18, 18, 10, 10, 18, 17, 20, 15
Find the mean and median number of hours for these students.
If necessary, round your answers to the nearest tenth.
Answers
Answer:
Mean: 15.75
Median: 17.5
ANSWER QUICK PLS FIRST ANSWER BRAINLIEST
calculate the size of angle BCD
Answers
Answer:
BCD = 87
Step-by-step explanation:
360 -55 - 128 - 90 = 87
The measure of angle BCD will be 87° .
Given,
Quadrilateral ABCD .
Here,
Measure of all the angles of quadrilateral will be 360° .
So,
Sum of all the angles,
∠(BCD + BAD + ABC + ADC) = 360°
Substitute the values of angles in the above equation,
∠(BCD + 90° + 128° + 55°) = 360°
∠BCD = 87°
Know more about quadrilateral,
https://brainly.com/question/16909630
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A scale drawing of a rectangular room is 8 inches wide and 10 inches long. The actual room is 12 feet wide and 15 feet long. What is the scale factor from the scale drawing to the room?
A 2 / 3
B 4 / 5
C 5 / 4
D 3 / 2
Answers
Explanation:
2 divided by 3 = .6667
If you multiply 12 by .6667 you get 8
if you multiply 15 by .6667 you get 15
As you can see they used 2/3 as the scale factor to go from 12x15 to 8x10
Hope this helps!
2 divided by 3 = .6667
If you multiply 12 by .6667 you get 8
if you multiply 15 by .6667 you get 15
As u can see, they used 2/3 for scale factor
53/8 + 21/2
NEED Help ASAP
Answers
=53/8+21*4/2*4
=53/8+84/8
=53+84/8
=137/8
Ans=137/8(17.125)
please help its due today in 12 minutes
Answers
Answer :
Line 1 : 3 x (4 - 1 ) equals 3 x 3 which equals 9
Line 2 : 3 x 4 - 3 x 1 equals 12 - 3 which equals 9
Step-by-step explanation:
What is the area of the parallelogram?
18 square units
28 square units
21 square units
16 square units
Answers
Length=7
3x7=21
The base is a 30 degree -60 degree and -90 degree triangle with a hypotenuse of 10m. The height of the prism is 15m. Find the volume to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
Which angles are complementary to DFE? Select all that apply.
Answers
Answer:
cfd
Step-by-step explanation:
complementary angles take the sum of both angles and have to add up to 90 degrees
A point is plotted on the number line at 4 3/5 . A second point is plotted at −3 3/4 .
What is the length of a line segment joining these points? Enter your answer as a simplified mixed number in the box.
|_| units
Answers
Answer:
-8 3/20 units.
It’s it!
7 6/10 simplest form
Answers
Answer:
38/5
Step-by-step explanation:
7 6/10 = Mixed Fraction
10*7 + 6 /10 = Improper Fraction
76/10 = 38/5
Mark as brainliest!!
Bob ust choose a shirt and a pair of pants for today's outfit. He has 2 shirts and 3 pairs of pants to choose from how many different outfits can he make.
Answers
Answer:
6 outfits.
Step-by-step explanation:
Bob has 2 shirts and 3 pairs of pants. That means he can wear one of the two shirts with any of the three pants (which'd make 3 outfits) and then with the other shirt with any of those three pants again (which'd make another three outfits.
Since you want to find out how many outfits Bob can make using the five articles of clothing, therefore 3+3=6 and 6 outfits would be your answer.
If you want to think of this problem another way, in simpler terms you can think of it like this: 2*3=6. Two shirts times three pants, which equals to six that makes our answer Bob can make six different outfits from his options above.
In an investigation, Detective Sanchez discovered a photograph that showed his number one suspect at the scene of the crime. To get a better look, he enlarged the picture by a scale factor of 121
. If the original photo measured 2.5 inches by 3.5 inches, what were the dimensions of the enlargement?
Answers
Answer:
30 inches by 42 inches.
Step-by-step explanation:
2.5 * 12/1 = 30
3.5 x 12/1 = 42
So choose 30 inches by 42 inches
*Note:
Pay attention to careful calculations
The kid's meal at Jimmy's Diner comes with a pear slice that is 1/3 of a whole pear. How many kid's meals would need to be ordered to have 5 whole pears?
Answers
1/3 x 15 = 5 whole pears
The salaries of three employees are listed below. Each employee was recently given a raise.
Salary
Employee [before raise] Raise
Jane $41,000 4%
John $43,400 4.5%
Jack $39,400 3%
What is the total of all three raises?
A. $4,775
B. $14,237
C. $4,704
D. $10,523
Answers
Step-by-step explanation:
Don't worry we will take care of everything. It's easy. listen carefully
1. we know the salary of each employee, before raise. and also their raise %age.
2. CONCEPT:- FOR EMPLOYEE (JANE) -
AMOUNT RAISED ON HER SALARY= 4% of $41000
= ( 4/100)× 41000
= $1640 (this is the raised amount in jane original salary)
3. similarly , you can also find raised amount for jhon and jack which will be $1953 and $1182 respectively.
4. for final solution, you just have to add all the raised amount in their original salary. hence final solution will be
= $1640 + $1953 + $1182
= $ 4775 (final solution).
Irene is opening a lawn equipment rental business, She does not know how much equipment she needs to purchase, but she does know the cost of the equipment.
Which of the following expression represents Irene’s total cost to purchase her equipment?
A.) 195(x+y+100z)
B.)195(x+y+z+100)
C.)195(x+y+z)+100z
D.)195+x+195+y+295+z
Answers
Answer:
Step-by-step explanation:
How many terms are in the expression 5d³ + d-6c + 2?
How many factors are in the expression d(9 + d)(d - 1)?
In the expression 8 + (7 + 5d) - 32, what number represents the coefficient of d?
Answers
Answer:for the first on is 4 second one is 3 and the 3rd one is 8
Step-by-step explanation:
i just know stuff
What is the area of the parallelogram?
18 m²
12 m²
16 m²
10 m²
Answers
Answer:
12m²
Step-by-step explanation:
area of parallelogram= base × height
so,
area of parallelogram= 4m × 3m
Area = 4 x 3
Area = 12
Here if this helps any
Answers
Answer:
for #5 is C and E
and for #6 A and C is yes and B and D is no
im not sure if im right but i hope ot helps
Write the other side of this equation so it's true for no values of x:
1/3(12x + 18) + x
Answers
Let's simplify the left-hand side of the equation first:
1/3(12x + 18) + x
= 4x + 6 + x
= 5x + 6
To make this equation true for no values of x, we need to find an expression that is never equal to 5x + 6. One way to do this is to take the negative of 5x + 6:
-(5x + 6)
Now the full equation is:
1/3(12x + 18) + x = -(5x + 6)
We can simplify the left-hand side again:
1/3(12x + 18) + x
= 4x + 6 + x
= 5x + 6
And substitute it into the equation:
5x + 6 = -(5x + 6)
Simplifying this equation gives:
10x + 12 = 0
Dividing both sides by 10 gives:
x + 6/5 = 0
x = -6/5
So the original equation, 1/3(12x + 18) + x = -(5x + 6), is true for no values of x.
Please help me out on this one THX
Answers
Eu acho,foi oque deu na minha conta
Does the sentence Carita uses 5 1/2 times as much wood as Thomas" Mean you going to multiply or subtract?
Answers
Carita has MORE wood than Thomas. For example, if Thomas has 1 piece of wood, Carita has 5.5 pieces of wood. If he had 2 pieces, Carita has 2x5 1/2 = 11 pieces of wood.
“*Times* as much…” implies multiplication. The x sign is a ‘times sign’, and “times” is synonymous with “multiplication”.
Jeremiah sees a maple tree and a pine tree in the forest. He knows that the pine tree is
21.65 feet tall. On a sunny day, the shadow of the pine is 4.1 feet long while the maple's shadow is 15.01 feet long. Estimate the height of the maple tree?
Answers
Answer:
78.052
21.65 ÷ 4.1 = 5.2 (2s.f.)
15.01 × 5.2 = 78.052
Answer:78.052
Step-by-step explanation:
21.65 ÷ 4.1 = 5.2 (2s.f.)
15.01 × 5.2 = 78.052
Quadratic functions r and s are graphed on the same coordinate grid. The vertex of graph r is 2 units to the left of the vertex of the graph of s. Which pair of functions could be used to create the graphs of r and s?
a.r(x)=(x+2)^2
s(x)=x^2
b.r(x)=x^2-2
s(x)=x^2
c.(x)=x^2+2
s(x)=x^2
d.(x)=(x-2)^2
s(x)=x^2
Answers
Answer:
not shoreeeeeeeeeeee
Step-by-step explanation:
i do apologize
What is an angle that is adjacent to DHC?
Answers
Answer:
∠CHK is adjacent to ∠DHC
Step-by-step explanation:
can someone pls help!!
Answers
A speed skater travels 12.5
A cheetah travels 26
I'm pretty sure that is correct
Step-by-step explanation:
Divide the number of meters by the minutes to get the meters per second
Could someone please help me?
Answers
Answer:
(a) The system of equations that could be used to find the length (in hours) of each type of workout is:
- Equation 1: 3x + 5y = Total hours on Friday
- Equation 2: 5x + 7y = Total hours on Saturday
where x is the length (in hours) of each Plan A workout and y is the length (in hours) of each Plan B workout.
(b) To find the length of each type of workout, we need to know the total hours that Susan trained on Friday and Saturday. Once we have that information, we can solve the system of equations using either the substitution or elimination method.
(c) To find the length of each type of workout, we can either solve the system of equations ourselves or use a calculator or online tool (like Wolfram Alpha) to solve it for us. Once we have the solution, we can plug it back in to the equations to make sure it works.
For example, if the total hours on Friday were 12 and the total hours on Saturday were 18, the solution would be:
- x (Plan A) = 2 hours
- y (Plan B) = 4 hours
And plugging it
Step-by-step explanation:
1/2 Divided by 2 what is the answer
Answers
Hope this helps
There are approximately 7.48 liquid gallons in a cubic foot. If a cylindrical water tank holds 1,500 liquid gallons and has a radius of 3.4 feet, what is the approximate height of the water tank? Approximate using π = 3.14 and round to the nearest tenth.
200.5 feet
59.0 feet
17.3 feet
5.5 feet
Answers
Find the approximate area of this composite figure. Use 3.14 for pi.
Answers
Answer:
I don't understand
Step-by-step explanation:
where are the answers?
area of triangle: b * h * 1/2
24 * 9 * 1/2 = 108
area of rectangle: l * w
24 * 10 = 240
108 + 240 = 348
simplify the expriession {[14 divided by 2) - 3] x 4} divided by
Answers
Step-by-step explanation:
It seems like a part of the expression is missing at the end, but I will simplify what is given and hope it helps.
{[14 ÷ 2) - 3] x 4}
Starting with the parentheses, we have:
{[7) - 3] x 4}
Next, we can simplify the expression inside the brackets:
{4 x 4}
Multiplying, we get:
16
So the simplified expression is 16.
4
4x4
=16
The answer is 16