Solve algebraically:
1. e^-3x=2
2. ln(3x-5)=ln11+ln2
3.logof4(x-1)+logof4(x+2)=1
4.8^x=4^x-3

Answers

Answer 1

Answer:

Step-by-step explanation:

1) 2e^3

2) x = 9

3) ln (16f^2o^2)

4) No solution


Related Questions

When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object
with mass 9 kg, the acceleration of the object is 5 m/s². When the same force acts upon another object, its acceleration Is 3 m/s? What is the mass of this
object?


Answers

Answer:

Constant Force F= ?

A= 5m/s²

M=9kg

According to the Question

A

[tex] \alpha [/tex]

1/m

A=F/m

So F=ma

F=5×9

F=45N

we look for m using the formula A=F/m

m=F/A

where A=3

F=45

M=?

So M=45/3

M=15kg

A billboard is 5.0 m by 2.5 m. A scale diagram of the billboard is 0.25 m by
0.125 m.
a.
1:
Calculate the scale.
b. Calculate the scale factor (k).
c.
Is this a reduction or enlargement? Justify your thinking.
Pls help

Answers

Answer:

A the answer is a because i was just working on that rn

Step-by-step explanation:

ava goes to lunch with 3 of her friends. The cost of their meals are $8, $4, $7, and $5. if they split the bill evenly. how much should each person pay? ANSWER NOW

Answers

Answer:

Each person should pay $6.00

Step-by-step explanation:

First, add everyone's cost

8 + 4 + 7 + 5 =  24

Then, divide by 4

24 ÷ 4 = 6

Lastly, have a great day! :)

What is the equation of the graph below? y=1/2sinx y=1/2cosx y=1/2sin2x

Answers

9514 1404 393

Answer:

  (d)  y = 1/2sin(2x)

Step-by-step explanation:

The sin(x) function will have a maximum value of 1 and a period of 360°. The function plotted is a sine function with a maximum value of 1/2 and a period of 180°.

For a function g(x) = a·f(b·x), the vertical scale factor is 'a', and the horizontal compression factor is 'b'. Our sine function has a vertical scale factor of 1/2, and a horizontal compression of 360/180 = 2, so the transformed function is ...

  y = 1/2sin(2x)

URGENT PLZ HELP

use the graph to write an equation of the line

Answers

y=3/2x
If you are referring to the diagonal line on the graph but if your talking about the vertical line it would be y=0 I think and the horizontal line would be y=x I think

A rectangular prism has a volume of 192 cubic inches the prism is 4 inches wide.....

Answers

Answer:

6 inches

Step-by-step explanation:

the formula for the volume of a rectangular prism is width*length*height.

Here we are asked to find the height when given a volume. The resultant equation is:

volume = w * l * h

192 cu.in. = 4in*8in*h(inches), simplify the equation by dividing each side by 32 (which is 4*8) to yield:

192 cu.in./32 sq.in.= h inches

6 inches = height

Evaluate g(2) given. Help

Answers

Answer:

[tex]g(2) = 3[/tex]

Step-by-step explanation:

Given

See attachment

Required

[tex]g(2)[/tex]

To solve this, we make use of:

[tex]g(x) = |7 - x^2|[/tex]

Because [tex]x \le 2[/tex]

i.e. [tex]2 \le 2[/tex]

So, we have:

[tex]g(2) = |7 - 2^2|[/tex]

[tex]g(2) = |7 - 4|[/tex]

[tex]g(2) = |3|[/tex]

Remove absolute brackets

[tex]g(2) = 3[/tex]

Henry is looking for the best deal on a tablet that regularly costs $829. Help him compare the price of the tablet at a stre
with the price on the store's website by completing the following.
(a)
The store's website is offering the tablet at a 80% discount off the regular price. Ignoring tax and shipping, how
much would he pay for the tablet on the store's website?
(b)
The store is having a sale, offering a 70% discount off the regular price of the tablet. Henry also has an
in-store-only coupon for an additional 10% off the sale price. Ignoring tax, how much would he pay for the tablet at
the store?
(c)
Select the true statement.
Henry would pay less for the tablet on the website.
Henry would pay less for the tablet at the store.
O Henry would pay the same amount at the store and on the website.
X
$

Answers

Answer:

$165.8 ;

$223.83 ;

Henry would pay less for the tablet on the website.

Step-by-step explanation:

Given :

Regular price = $829

On website :

80% discount off the regular price :

(100 - 80)% * regular price

20% * 829

0.2 * $829 = $165.8

At store :

70% off regular price :

(100 - 70)% * 829

0.3 * 829

= $248.7

10% off sale price :

(100 - 10)% * $248.7

0.9 * 248.7

= $223.83

Henry would pay less for the tablet on the website.

The A-frame cabin shown below is 35 feet wide. The roof of
the cabin makes a 60° angle with the cabin's base. Find the
length of one side of the roof from its ground level to the
peak. Round to the nearest tenth of a foot.

Answers

Answer:

25

Step-by-step explanation:

Answer the question.
11. Sarah's mom buys a basket that contains 8 bottles of lotion. Half of
the bottles each contain 150 milliliters of lotion. The other bottles
each contain 175 milliliters of lotion.
How many liters of lotion does Sarah's mom buy?

Answers

Answer:

1.3 liters

Step-by-step explanation:

4 x 150 is 600

4 x 175 is 700

700 + 600 = 1300 milliliters

1300 milliliters = 1.3 liters  

Answer:

1.3 liters

Step-by-step explanation:

So first off, lets find the amount of milileters of lotion there is.

To do this, take 8, and divide it in half:

8/2 = 4. So we know that 4 bottles of lotion each contain 150 militers of lotion.

We know that the other 4 bottles each contain 175 milileters of lotion.

Next, lets multiply the 150 and 175 by the four bottles:

150x4

=

600

175x4

=

700

Now lets add these two values together, to find the total amount of lotion:

700+600

=

1300

Remember, this problem asked for liters of lotion, not milileters. Lets recall that 1000 milileters are equivelent to 1 liter:

1300/1000

=

1.3

This is your answer!

Hope this helps! :)

Carl worked in the grocery store 24.25 hours last week. This week he worked 30.5 hours.
How many more hours did he work this week than last?

Answers

Answer:

6.25 hours

Step-by-step explanation:

30.5 - 24.25 = 6.25 hrs.


You should subtract

Example: 30.5- 24.25

How To Solve: So, since 30.5 take away 24.25 is 6.25 your answer is indeed 6.25

Answer: 6.25

help me please help. ........................​

Answers

Answer: the third option (3/6 > 5/12)

Step-by-step explanation:

process of elimination:

option one is incorrect because 1/2 = 3/6 (not 1/2 > 3/6)

option two is incorrect because again, 1/2 = 3/6

option four is incorrect because 3/6 > 5/12

HELP PLEASE PICTURE ABOVE. NO LINKS JUST HOW TO SOLVE STEP BY STEP AND THE ANSWER PLEASE

Answers

9514 1404 393

Answer:

  4) -ln(2)/3

  5) x = 9

  6) x = 2

  7) x = -6

Step-by-step explanation:

4) e^(-3x) = 2 . . . . given

  -3x = ln(2) . . . . . take the natural log

  x = -ln(2)/3 . . . . divide by the coefficient of x

__

5) ln(3x -5) = ln(11) +ln(2)

  3x -5 = 11·2 . . . . . take antilogs

  3x = 27 . . . . . . . . add 5

  x = 9 . . . . . . . . . . divide by 3

__

6) log4(x -1) +log4(x +2) = 1

  (x -1)(x +2) = 4 . . . . . take antilogs

  x^2 +x -2 = 4 . . . . . . eliminate parentheses

  x^2 +x +1/4 = 6 1/4 . . . add 2 1/4 to complete the square

  (x +0.5)^2 = 6.25 . . . . write as a square

  x +0.5 = ±2.5 . . . . . . . take the square root

  x = -0.5 ± 2.5 = {-3, +2} . . . . . . x = -3 is an extraneous solution

  x = 2

__

7) 8^x = 4^(x -3)

  2^(3x) = 2^(2(x -3)) . . . . write using a common base of 2

  3x = 2(x -3) . . . . . . . . . . take logarithms base 2

  x = -6 . . . . . . . . . . . . . . .subtract 2x

Carlos, Brad, and Rick earned $221.88 raking leaves and cleaning yards last week. If they split their earnings equally, how much will each of them get?

Answers

Answer:

Step-by-step explanation:

Chanclas

Answer:

$110.94

Step-by-step explanation:

221.88 divided by 2 is 110.94

Find all exact solutions of the equation on the interval [0, 2π).

cosxtanx=cosx

Answers

Answer:

[tex]\displaystyle x=\left\{\frac{\pi}{4}, \frac{5\pi}{4}\right\}[/tex]

Step-by-step explanation:

We want to solve the equation:

[tex]\cos(x)\tan(x)=\cos(x)[/tex]

On the interval [0, 2π).

First, we can subtract cos(x) from both sides:

[tex]\cos(x)\tan(x)-\cos(x)=0[/tex]

Factor:

[tex]\cos(x)\left(\tan(x)-1\right)=0[/tex]

Zero Product Property:

[tex]\cos(x)=0\text{ or } \tan(x)-1=0[/tex]

Solve for each case:

[tex]\cos(x)=0\text{ or }\tan(x)=1[/tex]

Using the unit circle:

[tex]\displaystyle x=\left\{\frac{\pi}{4}, \frac{\pi}{2}, \frac{5\pi}{4}, \frac{3\pi}{2}\right\}[/tex]

However, since tangent isn't defined for π/2 and 3π/2, we remove them from our solutions. Hence:

[tex]\displaystyle x=\left\{\frac{\pi}{4}, \frac{5\pi}{4}\right\}[/tex]

Keiko bought 3 POUNDS of fruit salad. How many OUNCES of fruit salad did Keiko buy?

Answers

Answer:

48 ounces.

Step-by-step explanation:

:) have a good rest of your day.

PLEASE HELP!
THE QUESTION IS IN THE PHOTO!
For What value of x is ABC~DEF?​

Answers

Answer:

x=12

Step-by-step explanation:

Since the triangles are congruent, you can use either B or D to solve for x.

7x+10=94

7x=94-10

7x=84

x=84÷7

x=12

When you sunbathe nine feet from the swimming pool, your distance to a point of
tangency with the pool is twelve feet. Find the radius of the pool.

Answers

Answer:

[tex]9.5 \sqrt{?} [/tex]

Describe the overall shape of this distribution. Explain your answer in complete sentences.

Answers

Answer: The histogram is skewered to the right (right-skewered)

Step-by-step explanation:

The peak veers to the left and the tail is towards the right.

The histogram given is right-skewed.

What is a histogram?

A histogram is a representation of the distribution of data with intervals.

We have,

Right-skewed and left-skewed are terms used to describe the shape of a data distribution.

A right-skewed (or positively skewed) distribution is one in which the tail on the right-hand side of the graph is longer or fatter than the tail on the left-hand side.

A left-skewed (or negatively skewed) distribution is the opposite of a right-skewed distribution.

In this case, the tail on the left-hand side of the graph is longer or fatter than the tail on the right-hand side.

Now,

We see that the histogram given is right-skewed because the tail on the right-hand side of the graph is longer or fatter than the tail on the left-hand side.

Thus,

The histogram given is right-skewed.

Learn more about histograms here:

https://brainly.com/question/16819077

#SPJ3

The table shows the test scores of students who studied for a teat as a group (group a) and students who studied individually (group b).

Which would be the best measures of center and variation to use to compare the data?

Answers

Answer:

https://rr.noordstar.me/83819a0f

Answer: B

Step-by-step explanation:

I didn't waste time looking at if the data was Symmetric or skewed, because A, C and D are all false statements:

A - If it's skewed Mean wouldn't be used

C - If it's Symmetric IQR wouldn't be used

D - If it's skewed Standard Deviation wouldn't be used

Simplify 150 -(0.4 x 150)+15

Answers

150-(0.4 x 150)+15= 105


Please helpppp i will mark brainlisttt

Answers

I believe it’s 29
Because 14.5 + 14.5 = 29
Then 29-58=29
To find mm
I think it’s 29 but I’m not sure

You are making a pyramid-shaped trophy.
The trophy has a square base with side lengths of 9 inches and a slant height of 11 inches.
The paint needed costs $0.15 per square inch.
How much will it cost to paint the faces of the trophy?

Show your work

Answers

Answer: [tex]\$29.7[/tex]

Step-by-step explanation:

Given

The trophy has a side of [tex]a=9\ in.[/tex]

Slant height [tex]l=11\ in.[/tex]

Rate  of painting [tex]r=\$\ 0.15/in.^2[/tex]

Lateral surface area of square pyramid is [tex]2al[/tex]

Insert the values

[tex]\Rightarrow 2\times 9\times 11\\\Rightarrow 198\ in.^2[/tex]

Cost of painting

[tex]\Rightarrow 198\times 0.15=\$29.7[/tex]

∠DGC and ∠CGB are □ angles.Adjacent
Adjacent
Complementary
Supplementary
Vertical

Answers

Answer:

They are adjacent angles

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.


Answers

Answer: 4.12 km

Step-by-step explanation:

Use the Pythagorean theorem.  Name the hypotenuse (longest side) c and the bottom side b.  Then, simplify and solve for a.

a^2 + b^2 = c^2

a^2 + 8^2 = 9^2

a^2 + 64 = 81

a^2 = 17

a = square root of 17 or approx. 4.12

Please give brainliest!

solve system of equations
y= 8x + 1
y = 6x + 3

(2,4)
(0,1)
(1,9)
or (4,14)

Answers

The answer to your question is (1,9) :)
(1,9) sorry if I’m wrong

Compound Interest: You deposit $100 in an account that earns 3% annual interest compounded continuously. How long does it take the balance to reach the following amounts? (A = Pe^(rt). NO LINKS
a. $110
b. $150
c. $200

Answers

9514 1404 393

Answer:

  a) 3.18 years

  b) 13.52 years

  c) 23.10 years

Step-by-step explanation:

Solving for t, we find ...

  A = Pe^(rt)

  A/P = e^(rt)

  ln(A/P) = rt

  t = ln(A/P)/r

For P=100 and r=.03, the times are ...

a. $110: t = ln(110/100)/.03 ≈ 3.18 years

b. $150: t = ln(150/100)/.03 ≈ 13.52 years

c. $200: t = ln(200/100)/.03 ≈ 23.10 years

What is the location of the point on the number line that is 3/5 of the way from
A = 2 to B = 17?
O A. 12
O B. 10
C. 9
O D. 11

Answers

The location of the point on the number line that is 3/5 of the way from A = 2 to B = 17 is 11

How to determine the location of the point?

The points are given as:

A = 2

B = 17

Point = 3/5

The location of the point is then calculated as:

Point = A + 3/5(B - A)

So, we have:

Point = 2 + 3/5(17 - 2)

Evaluate the product

Point = 2 + 9

Evaluate the sum

Point = 11

Hence, the location of the point on the number line that is 3/5 of the way from A = 2 to B = 17 is 11

Read more about number lines at:

https://brainly.com/question/4727909

#SPJ1

Find the value of x UREGENT HELP PLEASE

Answers

Answer:

15.3

Step-by-step explanation:

Cos 32 = x/18

Cos 32 = 0.848048096

x/18 = 0.848048096

x = 15.3 (rounded)

HELP!! 5) Which number is IRRATIONAL?

A) V9

B) V27

C) V36

D) V81

Answers

I think it’s B) V27 i could me wrong
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