Simplify this problem for me

Simplify This Problem For Me

Answers

Answer 1

Answer:

[tex]\displaystyle E=e^{5x}[/tex]

Step-by-step explanation:

Exponentials

Properties of exponentials:

[tex]x^ax^b=x^{a+b}[/tex]

[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]

Simplify:

[tex]\displaystyle E=\frac{e^{-2}\cdot e^{2x+3}}{e^{1-3x}}[/tex]

Multiplying in the numerator:

[tex]\displaystyle E=\frac{e^{-2+2x+3}}{e^{1-3x}}=\frac{e^{+2x+1}}{e^{1-3x}}[/tex]

Applying the quotient:

[tex]\displaystyle E=e^{2x+1-(1-3x)}[/tex]

Operating:

[tex]\displaystyle E=e^{2x+1-1+3x}[/tex]

Simplifying:

[tex]\boxed{\displaystyle E=e^{5x}}[/tex]


Related Questions

PLS HELP!! Jimmy is playing a computer game. He gets 1 point for every time he hits his target and loses 2 points each time he misses.

He has hit his target 15 times and missed 6 times. What is his score?

A. 15 points
B. 3 points
C. - 12 points
D. 9 points

Answers

Answer:

b. 3 points

Step-by-step explanation:

Answer: b is the corect answer

Step-by-step explanation:

In 2006, ford motor co. Sold 2.8 million cars. Of the average cost per car was $27,000. What were the total sales for ford.

Answers

Answer:

Seventy five billion six hundred million

Step-by-step explanation:

2.8 million x 27,000

12=4-4x
PLEASE HELPPP​

Answers

Answer:

-2

Step-by-step explanation:

4x=4-12

4x=-8

X=-2

And answer is - 2

Solve for p.
2 /
P - 6 = -4

p=

Answers

Answer:

p = 1

Step-by-step explanation:

Picture attached below for steps

P = - 10


Explanation:

I don’t know where Th 2 / is supposed to be tho

Can you please help !!!!!!!!!!!!

Answers

Answer:

slope  =  0

Step-by-step explanation:

[tex]m=\frac{change in y}{change in x}[/tex]

[tex]m=\frac{4-4}{2-1}[/tex]

[tex]\frac{0}{1}[/tex]

Divide  0  by  1 .

m  =  0

good luck, hope this helps :)

Lila rewrote 10/25 as 40/100 and represented it with the picture below. Tony thinks this fraction is also equal to 2/5. Is Tony correct? Explain... PLZ HELP ME WITH THIS PLZZ HURRY

Answers

Answer:

Yes he's correct

Step-by-step explanation:

5 goes into both 10 & 25

10 divided by 5 is 2

25 divided by 5 is 5

So 2/5 is the lowest it'll go

Yes, Tony is correct.

Here,

Lila rewrote 10/25 as 40/100 and represented it with the given picture.

And, Tony thinks this fraction is also equal to 2/5.

We have to find that, Tony is correct or not.

What is Fraction?

Fractions represent the parts of a whole or collection of objects.

Now,

In this picture there are total 25 square and shaded squares are 10.

So, it can be written in form of fraction as;

[tex]Fraction = \frac{Number of shaded squares}{total number of squares} =\frac{10}{25}[/tex]

Since, Lila rewrote 10/25 as 40/100 and represented it with the given picture.

And, Tony thinks this fraction is also equal to 2/5.

Then, we have to get the fraction = 10/25

After simplifying the fraction we get;

[tex]\frac{10}{25} = \frac{2}{5}[/tex]

Hence, Tony is correct.

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What is the equation for 2.91 x 0.5

Answers

Answer:

isnt that the equation? If your looking for the answer to that it's 2.91 x 0.5 = 1.455

Step-by-step explanation:

plz mark brainliest if can

Help me pleasseeeeeeeeeeeee

Answers

Answer:

24 + 10 = 34

Step-by-step explanation:

a. 24 + b. 10 = ?= c. 34

How much Angela payed for the couch

Answers

Answer:

697.05$

Step-by-step explanation:

Mark as brainliest

697.05 hope this helped

Someone please help meee

Answers

b = -16
m = (-15-(-16))/18-0 = 1/18
y= 1/18x - 16

In the Data set below, what is the standard deviation?

4 2 8 5 7

Answers

Answer:

The standard deviation of the given data set

 σ =  2.135

Step-by-step explanation:

Step(i):-

Given numbers are 4 2 8 5 7

Mean of the numbers

 [tex]= \frac{4+2+8+5+7}{5}[/tex]

= 5.2

The mean of the numbers (μ) = 5.2

Step(ii):-

x        :    4         2       8        5         7

x-μ     :   -1.2   -3.2     2.8    -0.2     1.8

(x-μ)² :   1.44    10.24  7.84  0.04    3.24

The standard deviation of the given data

            σ = √Σ( x-μ)² / N

           σ  = [tex]\sqrt{ \frac{1.44+10.24+7.84+0.04+3.24}{5}}[/tex]

            σ =  2.135

           

PLEASE HELP WILL GIVE BRAINLIEST
6. Given the function rule f(x)= x(to the power of 2)– 3x+ 2, what is the output of f(-2)?
-8
0
4
12

Answers

Answer:

f(-2)=4+6+2

f(-2)=12

Step-by-step explanation:

Add -2 where all the x values are then solve

2x + 2= -3
What is the answer

Answers

-5/2 is your answer :)

Answer:-1/2

Step-by-step explanation:2x + 2 = -3 Subtract 2 on both sides so the equation would then be 2x + -1. Then you put 2x over 1 as a fraction then u flip the fraction which would be called reciprocal then multiply -1 times 1/2x which equals -1/2 and as a decimal it would be - 0.5

what is 925 divided by 264

Answers

Answer:

3.50378787879

Step-by-step explanation:

Answer:

Exact Form:

925

___

264

Decimal Form:

3.503

^^78

Mixed Number Form:

     133

3   ___

    264

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

please help me | what is cos^6 x = cot^4*csc^2x-cot^4x????

Answers

Answer:

Write

csc

4

x

as

1

sin

4

x

and

cot

4

x

as

cos

4

x

sin

4

x

csc

4

x

cot

4

x

=

1

sin

4

x

cos

4

x

sin

4

x

=

1

cos

4

x

sin

4

x

Now recall that

a

2

b

2

=

(

a

b

)

(

a

+

b

)

and use this fact with

a

2

being and

b

2

being

cos

4

x

so that

a

is 1 and b is

cos

2

x

So

csc

4

x

cot

4

x

=

1

cos

4

x

sin

4

x

=

(

1

cos

2

x

)

1

+

cos

2

x

sin

4

x

But

cos

2

x

+

sin

2

x

=

1

so that

1

cos

2

x

=

sin

2

x

so

csc

4

x

cot

4

x

=

sin

2

x

1

+

cos

2

x

sin

4

x

=

1

+

cos

2

x

sin

2

x

=

(

1

sin

2

x

)

+

(

cos

2

x

sin

2

x

)

=

c

s

x

2

x

+

cos

2

x

Step-by-step explanation:

Answer:

so cot^6 (x) =cot^4 (x) csc^2 (x)-cot^4 (x) then you just manipulate the right side cot^4(x)csc^2(x)-cot^4(x) =cot^6(x) which is true

Step-by-step explanation:

4.3
Rounding to the nearest whole number

Answers

1.7=2
8.1=8
6.9=7
4.3=4
Hope this helps

Answer:

4 is the nearest whole number of 4.3

Estimate the sum by first rounding each
mixed number to the nearest whole number
and then adding.
5 and 3/8 + 4 and 7/10

Answers

5 3/8 rounds to 5,
4 7/10 rounds to 5
Your estimated sum is 10

ata yayincilik 4. deneme 8.sinif (2021) cevap anhtari vasa atabilirmisiniz​

Answers

Answer:

what

Step-by-step explanation:

how would I solve this​

Answers

Answer:

5√5

Step-by-step explanation:

Hypotenuse (h) = 15

perpendicular (p) = 10

base (b) = ?

We know by using Pythagoras theorem

b = √h² - p²

= √ 15² - 10²

= √ 125

= 5√5

Hope it will help :)

Answer:

≈11.2

Step-by-step explanation:

a²+b²=c²

10²+b²=15²

100+b=225

-100 on both sides

b= √125= 11.2

Sofia and Diego drive to work. Sofia drives 72 miles in 1.5 hours. Diego drives 126 km in 2 hour 30 min. Work out the difference between their average speeds in km/h. 1 mile = 1.6 km

Answers

Answer:

26.4 km/hr

Step-by-step explanation:

Sofia and Diego drive to work.

For Sofia

We convert miles to km

Sofia drives 72 miles in 1.5 hours.

1 mile = 1.6 km

72 miles = x

x = 72 × 1.6 km

x = 115.2 km

We find the speed in km/hr

Speed = Distance /Time

= 115.2km/1.5 hours

= 76.8 km/hr

For Diego

Diego drives 126 km in 2 hour 30 min.

Speed = Distance/Time

Time = 2 hour 30 min = 2.5 hours

Speed = 126km/2.5 hours

= 50.4 km/hr

The difference between their average speeds in km/h is calculated as:

76.8 km/hr - 50.4 km/hr

= 26.4 km/hr

The angles shown are supplementary. What is the value of x ?

Answers

Answer:

D

Step-by-step explanation:

This is because if u subsitute x with 17, 17x5 is 85 and 85+95= 180

○=> Correct option :

[tex]\color{plum}\tt\bold{(D) \: 17}[/tex]

○=> Steps to derive correct answer :

Given :

▪︎Angle (5x)° and angle 95° are supplementary angles.

Which means :

[tex] = \tt5x + 95 = 180[/tex]

[tex] = \tt5x = 180 - 95[/tex]

[tex] = \tt5x = 85[/tex]

[tex] \hookrightarrow\tt \color{plum}x = 17[/tex]

Thus, the value of x = 17

Let us check whether or not we have found out the correct value of x by placing 17 in the place of x:

[tex] =\tt5 \times 17 + 95 = 180[/tex]

[tex] =\tt 85 + 95 = 180[/tex]

[tex] =\tt 180 = 180[/tex]

Since the sum of both angles is equivalent to 180[85+95=180], we can conclude that we have found out the correct value of x.

Therefore, the correct option is (D) 17

Fill in the table for side length and area of different squares.
side length (cm) area (cm2

3
100
25
s

Answers

3 -> 9
100 -> 10000
25 -> 625
s -> s^2

All cm^3

A culture is tested for bacteria and has 2.1 million bacteria. The culture is tested every 5 minutes and each time it is tested there are 1.5 times more bacteria.

How many bacteria in millions will there be in the culture after 20 minutes?

Round to the nearest hundredth.

3.15
7.09
10.63
29.17

Answers

Answer:

The correct answer is 10.63

Step-by-step explanation

I just took the test

There are 12 players on a softball team. The coach has $605 to buy bat bags for all of the players. Each bat bag costs $55. Use the drop-down menus to explain whether the coach has enough money to buy a bat bag for each player... NEED ANSWERS ASAP

Answers

Answer:

Yes, he does.

Step-by-step explanation:

55 x 12 = 600

No, The coach does not have enough money to buy a bat bag for each player.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

There are 12 players on a softball team.

The coach has $605 to buy bat bags for all of the players.

Each bat bag costs = $55

Now,

Since, There are 12 players on a softball team.

And, Each bat bag costs = $55

So, The total cost of bag for 12 players = $55 x 12

                                                            = $660

Since, The coach has $605 to buy bat bags for all of the players.

And, $605 < $660

Thus, The coach does not have enough money to buy a bat bag for each player.

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Item 4 Write a proportion to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%

Answers

Answer:

20 points

Step-by-step explanation:

We need to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%.

Let x be the number of points.

ATQ,

[tex]\dfrac{x}{50}=\dfrac{40}{100}\\\\x=\dfrac{50\times 40}{100}\\\\x=20[/tex]

Hence, a student needs 20 points to get a score of 40%.

I NEED HELP QUICKLYYYY
6
Consider this right triangle.
15
C с
12
B
Enter the measure of ZCAB to the nearest hundredth degree.

Answers

Step-by-step explanation:

sinA=p/h

sinA=12/15

A=sin-¹(4/5)=53.13=53°

<CAB=53°

The measure of ∠CAB is 53°.

What is Trigonometry?

The trigonometric function, which comprises the sine, cosine, tangent, cotangent, secant, and cosecant, is one of the six mathematical operations used to describe the side ratios of right triangles (csc).

As per the given data:

From the given diagram, we can clearly understand that the triangle is a right-angled triangle which is right-angled at C.

We have to find out the measure of ∠CAB.

The lengths of the sides BC and AB is also given in the diagram.

For finding out the measure of ∠CAB we can consider BC as the perpendicular and AB as the hypotenuse, and then we have to use the appropriate trigonometric ratio.

The length of the perpendicular BC = 12 units

The length of the hypotenuse AB = 15 units

For relating perpendicular and hypotenuse, we can use the sin trigonometric ratio.

sinθ = Perpendicular / Hypotenuse

sinθ = BC / AB

sinθ = 12 / 15

sinθ = 4 / 5

θ = 53°

The measure of ∠CAB is 53°.

Hence, The measure of ∠CAB is 53°.

To learn more about Trigonometry, click:

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Which of the following is an arithmetic sequence?
O 3.-3.4.-4.5.-5
O 2, 4, 8, 16.32
O 1.2. 4.7. 10
O 4.7. 10. 13. 16

Answers

Answer:

the answer is 2, 4, 8, 16.32

Is the relation a function? Why or why not?
{(–3, –2), (–1, 0), (1, 0), (5, –2)}

No; two domain values exist for range value –2.

Yes; two domain values exist for range value –2.

No; the relation passes the vertical line test.

Yes; only one range value exists for each domain value.

Answers

Answer:

yes; only one range value exists for each domain value.

Step-by-step explanation:

The x value don't repeat. Which is: -3, -1, 1, 5.

Answer:

Answer:

yes, the given relation is a function.

Step-by-step explanation:

The given relation is

{(–3, –2), (–1, 0), (1, 0), (5, –2)}

A relation is called function if each element of the domain is paired with exactly one element of the range.

It means for each value of x there exist a unique value of y.

In the given relation for each value of x there exist a unique value of y.

Therefore the required solution is yes and this relation is a function.

Step-by-step explanation:

letter d

because there is no repeating x's

Your family plans to start a small business in your neighborhood. Your father borrows $10,000 from the bank at an annual interest rate of 8% rate for 36 months. What is the amount of interest he will pay on this loan? (use Interest = Principal × Rate × Time)

Answers

Answer:

$2400

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 8%/100 = 0.08 per year,

putting time into years for simplicity,

36 months ÷ 12 months/year = 3 years,

then, solving our equation

I = 10000 × 0.08 × 3 = 2400

I = $ 2,400.00

The simple interest accumulated

on a principal of $ 10,000.00

at a rate of 8% per year

for 3 years (36 months) is $ 2,400.00.

What is the image of B(3,2)?

Answers

Answer:

B'(1,4)

Step-by-step explanation:

after reflection in line c....line c is perpendicular bisector of B' and B

find the slope line between trough B and B' its _1 hence slope of the perpendicular bisector should be 1... equation of line c is

[tex]y - 3 = 1(x - 2) \\ y = x + 1[/tex]

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