What is the solution to this equation?
8(25 +1 = 4
СА.
In(0.5)
T =
- 1
OB.
Ос.
In(0.5) + 1
2
In(0.5)
+1
2
In(0.5) - 1
OD

What Is The Solution To This Equation?8(25 +1 = 4.In(0.5)T =- 1OB..In(0.5) + 12In(0.5)+12In(0.5) - 1OD

Answers

Answer 1

Answer:

Option (D)

Step-by-step explanation:

Given equation is,

[tex]8e^{2x+1}=4[/tex]

Taking natural log on both the sides of the equation,

[tex]\text{ln}(8e^{2x+1})=\text{ln}(4)[/tex]

[tex]\text{ln}(2^3)+\text{ln}(e^{2x+1})=\text{ln}(2^2)[/tex]

3ln(2) + (2x + 1)[ln(e)] = 2ln(2)

2n(2) - 3ln(2) = (2x + 1)

2x = -ln(2) - 1

[tex]2x=\text{ln}(\frac{1}{2})-1[/tex]  [Since, -ln(2) = ln(1) - ln(2) = [tex]\text{ln}(\frac{1}{2})[/tex]]

[tex]2x=\text{ln(0.5)}-1[/tex]

[tex]x=\frac{\text{ln(0.5)-1}}{2}[/tex]

Therefore, Option (D) will be the correct option.


Related Questions

Please help me please

Answers

Answer:

Option D

Step-by-step explanation:

→ Simplify the option

3 × 3 × 2 × 2 = 36

→ Simplify the other part

3 × 2 × 2 = 12

50 POINTS. A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is h(t)= -16t^2 + 64t + 4, where t is measured in seconds and h is the height in feet. What domain makes sense for this function

Answers

Answer:

The domain that makes sense for this function is all values greater than or equal to 0.

Step-by-step explanation:

A ball is thrown into the air from a height of 4 feet at time t = 0. It is modeled by the function:

[tex]h(t)=-16t^2+64t+4[/tex]

The domain of the function is time t. The range of the function is the ball's height in the air h.

Since time is our domain, we must restrict our domain to values equal to or greater than 0 since time cannot be negative.

Therefore, the domain that makes sense for this function is all values greater than or equal to 0.

In interval notation, this is:

[tex][0, \infty)[/tex]

And as an inequality:

[tex]t\geq 0[/tex]

solve for x
logx(128)=7​

Answers

Answer:

x is 2

Step-by-step explanation:

Line P R and Line Q S are diameters of circle T. What is the measure of Arc S R?

50°
80°
100°
120°

Answers

100 is the correct answer to your question

Answer:

100

Step-by-step explanation:

Find the area of the sector MAG in terms of Pi and approximate to the nearest hundredth

Answers

Answer:

Area of sector MAG = 35.2π unit² (Approx.)

Step-by-step explanation:

Given:

Diameter MP = 26 unit

ARC MG = ARC IP

∠GAI = 30°

Find:

Area of sector MAG

Computation:

Radius = Diameter MP / 2

Radius = 26 / 2

Radius = 13 units

∠MAG = ∠IAP

So,

∠MAG + ∠GAI + ∠IAP = 180

∠MAG + 30 + ∠MAG = 180

2∠MAG = 150

∠MAG = 75°

Area of sector = [θ/360][π][r]²

Area of sector MAG = [75/360][π][13]²

Area of sector MAG = [0.2083][π][169]

Area of sector MAG = 35.2π unit² (Approx.)

What is (5b + 3x)(5d-3b)

Answers

The answer is 25bd-15^2+15dx-9bx

Find the median of the set of data. 30, 16, 49, 25

Answers

Answer:

16,25,30,49

25+30=55

55÷2=27.5

Step-by-step explanation:

median means the middle value of any set of data so first arrange the data into ascending order.

16, 25, 30, 49

the data is even so we take both the middle value , add it and divide it with 2

25+30=55

55÷2=27.5

how many solutions does this graph have?

Answers

Answer:

one solution

Step-by-step explanation:

It will cross the x-axis one time

Austin checks the temperature at 10:00 p.m. He notices if the temperature
falls by 5 more degrees, it will break the record-low temperature for that date,
which is 26 degrees.
If t = the temperature in degrees at 10:00 p.m., which mathematical sentence
expresses the information above?
O A. t-5 < 26
B. t+ 5 < 26
O C. -5 > 26
O D. t+5 > 26

Answers

Answer:

A. t - 5 < 26°

Step-by-step explanation:

Record low temperature for that date = 26°

Temperature at 10:00 PM = t

A fall in temperature by 5° = t - 5

Thus, this is said would mean the record low temperature would be breaking at this point, meaning the new temperature low recorded will be less than 26°.

In mathematical expression, this is expressed as;

t - 5 < 26°

Find the volume of each question in the picture:

Answers

Answer:

21.V=1746.1

22.V=1922.7

23.V=54.4

Step-by-step explanation:

V=h*w*l                V=pir^2*h

V=12*8*14 .           V=pi*4^2*8

V=1344 .               V=402.1

V1+V2=1344+402.1=1746.1

V=pi*r^2*h             V=2/3*pi*r^3

V=pi*6^2*13           V=2/3*pi*6^3

V=pi*36*13             V=2/3*pi*216

V=1470.3                V=452.4

V1+V2=1470.3+452.4=1922.7

V=1/3pi*r^2*h           V=1/3pi*r^2*h

V=1/3pi*2^2*6          V=1/3pi*2^2*7

V=8pi                       V=28/3pi

V=25.1 .                    V=29.3

V1+V2=25.1+29.3=54.4

Hello :D help pls? Thanks
What is the area of this partial circle if the radius is 8 inches long? Leave your answer in terms of pi.

Answers

Answer:201.06

Step-by-step explanation:

What is the length of VW?

Answers

Answer:

2,4 is the wi5h ofe ithink

Convert 22 days to weeks and days.
22 days=
Convert 454 minutes to hours and minutes.
454 minutes =
Convert 4 years and 4 months to months.
4 years and 4 months =
Convert 12 pounds and 13 ounces to ounces.
12 pounds and 13 ounces=

Answers

Answer:

22 days = 3 weeks and 1 day

454 minutes = 7 hours and 34 minutes

4 years and 4 months = 148 months

12 pounds and 13 ounces = 205 ounces

help i keep on getting answers that are not what I am looking for

Answers

10 is the correct answer

The perimeter of a rectangle is 42 meters. The length of the rectangle is 3 meters less than twice the width. Find the length of the rectangle. *

Answers

Answer:

The length of the rectangle is 13m

2x^2 + 3x - 12, when x = 5

solve this and I'll give you brainliest.

Answers

403

2(5)^2 = 400 + 3(5) = 415 -12 = 403

estimate 38.6+4.3 to the nearest 10​

Answers

The awnser to the question is 40.0

(x+6)(x-4)=

(2x+5)(x-3)=

(3x+2)(2x+5)=

(2x-1)(x-5)=


please help this is multiplying polynomial expressions

Answers

Answer

1. x²+2x-24

2. 2x²-1x-15

3. 6x²+19x+10

4. 2x²-11x+5

Answer:

[tex]x^{2} +2x-24[/tex]

[tex]2x^{2}-x-15[/tex]

[tex]6x^{2}+19x+10[/tex]

[tex]2x^{2}-11x+5[/tex]

Step-by-step explanation:

Can someone please help me with this I will mark u brilliant

Answers

Answer:

80 is the median

The median is just the number in the middle and since 80 is in the middle the median is 80 hope that helps!

the answer is 80, hope this helps !

Identify the volume of a rectangular pyramid with length 16 m, width 12 m, and height 17 m.

Answers

Answer:

Correct Answer:  1088 m3

Step-by-step explanation:

To find the volume of the pyramid, first calculate the area of the base.

As the pyramid is rectangular, the base of the pyramid is a rectangle.

Use the formula for the area of a rectangle to calculate the area of the base.

B = lw

Substitute 16 for l and 12 for w.

B = 16 ⋅ 12

Simplify.

B = 192 m2

To find the volume of the pyramid, use the formula for the volume of a pyramid.

V = 1/3 Bh

Substitute 192 for B and 17 for h.

V = 1/3 ⋅ 192 ⋅ 17

Simplify.

V = 1088 m3

Therefore, the volume of the rectangular pyramid is 1088 m3.

I need to know the answer to this please and thank you, I don’t know how to do this.

Answers

Answer:

A= 30 sq feet

? = 5 feet

Step-by-step explanation:

if the total area is 104 square feet and we know where 44 square feet of that is accounted for that leaves 60 square feet so both A sections are equal so we can divide 60 by 2 to get 30 square feet. So "A" is 30 square feet.

to get "?" we need to find the other measurement for the 10 square foot sections, the easiest way to find that is 10 divided by 2 ( which is the measurement we already have), once we do this we get 5 feet, and because 5 feet is the height measurement for that part of the net diagram we know that the "?" will need to be 5 as well because it is also a height measurement.

HELP ME IN MATH PLEASE IM FAILING :( NO FAKE ANSWERS PLS :)

Answers

The area of a parallelogram has the following formula: A=bh

Plug-in the given numbers.

Base=14cm

Height=13cm

A=bh

A=14 x 13

A=182

Therefore, the area of the figure is 182cm2

Answer:  182 square centimeters

Step-by-step explanation:

The formula for finding the area of a parrallelogram is A = bh.  If the top measurement is 14 cm, then the bottom measurement is also 14 cm.  The height is 13 cm.  

A = (14) (13)

A =  182 cm^2  

Please help me I don’t understand and can you tell me how you got the answer

Answers

Answer:

9

Step-by-step explanation:

to find the whole number of this fraction all you have to do is do the top number divided by the bottom so... 36 ÷ 4 = 9 and we get 9 Hopefully that helps!

Which of the following is the product (5y − 3)2?

A. 10y − 6
B. 25y2 − 30y + 9
C. 25y2 − 9
D. 25y2 + 30y − 9

Answers

Answer:

d it is D

Step-by-step explanation:

The measure of ZA is 18° greater than the measure of ZB. The two angles are complementary. Find the
measure of each angle.

Answers

Ok do I am answering this so I can finish school Srry

Given that f(x)=x^2+3x-28f(x)=x
2
+3x−28 and g(x)=x+7g(x)=x+7, find f(x)+g(x)f(x)+g(x) and express the result in standard form.

Answers

9514 1404 393

Answer:

  x^2 +4x -21

Step-by-step explanation:

Substitute the given expressions and simplify.

  f(x) + g(x)

  = (x^2 +3x -28) +(x +7)

  = x^2 +(3+1)x +(-28 +7)

  = x^2 +4x -21

1+1=?,
Plz Helppp meeeeeeeeeeeeeeeeeee

Answers

Answer:

2 is teh answer

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

HELP ME PLEASEEEEEEEEEEEE

Answers

Answer:

C) (-4,2)

Step-by-step explanation:

It would be in quadrant II, so (-4,2)

Bob is saving up for a new phone. He has about $150 right now but she has a job and gets paid $15 an hour to babysit. If he works everyday for about a month, how much money should she have? Write an equation.

Answers

Current Balance: $150

Income rate: 15x

Equation: 15x+150

PLz help me plz plz I need thed answer plz

Answers

Answer:

[tex]-15\geq x\geq 5[/tex]

Step-by-step explanation:

X is between -15 and 5, the closed dots tell us we must include both -15 and 5 in the equation

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