Given that
[tex]2 {}^{x} = 0.125[/tex]
Find x

Answers

Answer 1
Take the natural log of both sides

ln(2^x)=ln(.125)
Xln(2)=ln(.125)
X=ln(.125)/ln(2)
X=-3

ALTERNATIVE ROUTE:
You know that 0.125 is equal to 1/8
And 1/2^3 is also equal to 1/8
So since you need the reciprocal to match it the exponent is a negative
Answer 2

Answer:

x = -3.

Step-by-step explanation:

2^x = 0.125

Taking logs:

x ln 2 = ln 0.125

x = ln 0.125 / ln 2

x = -3


Related Questions

the circle shown below has chords XY XZ with XY =XZ. The measure of XY is 130 as shown. What is the measure of

Answers

It’s 50
130+130=260
360-260=100
100/2=50

Independent = cups of milk poured Dependent = Milk left in the gallon jug Independent = Milk left in the gallon jug Dependent = cups of milk poured

Answers

Answer:

Independent = Milk left in the gallon jug

Dependent = cups of milk poured

Step-by-step explanation:

In an experiment or a research, a variable is defined as the thing or a phenomenon that you are trying to found out or measure. Variables can be independent variable as well as the dependent variable.

Independent variable is the variable that the researcher or the experimenter can change or manipulate in the research. This variable does not depend on others and thus stands alone. Its value can be change or altered to find the changes in the dependent variables. They are used as treatment variables.

Whereas, the dependent variables are those variables that are dependent on the values of the independent variables. It is considered as the effect of the independent variable. An independent variable is often manipulated to measure the outcome in the dependent variable.

In the context, the cups of milk poured is the dependent variable and the independent variable is the amount of milk left in the jug.  

Ursula surveyed 50 classmates about their favorite ice cream flavors. Each classmate chose one flavor. The results are shown in the circle graph. Favorite Ice Cream Flavors Coffee 14% Chocolate 42% Strawberry 18% Vanilla How many more of Ursula’s classmates chose chocolate than chose vanilla?

Answers

Answer:

3

Step-by-step explanation:

Answer:

answer would be 3!

Step-by-step explanation:

view the problem, it could be adding or subtracting. your welcome! c:

Help plssss I’m really bad at math and I have no clue what I’m doing <3333 also remember you can choose more than 1

Answers

Answer:11111

Step-by-step explanation:

1

I just put this Question so- yea

Answers

Answer:

the answer is 70

Step-by-step explanation:

its simple just BASIC =D

but at least its a win win you got yo answer i got my points GOOD DaY

Answer:

1680 ÷ 40320 = 24

Step-by-step explanation:

determine which expression are equivalent to the expression -p(q+r+5)

Answers

Answer:5p-+q+r

Step-by-step explanation:

One jar has 13 pennies, a second jar has 7 pennies, a 3rd jar has 10 pennies, and a 4th jar has 30 pennies. On average how many pennies does each
jar have?

Answers

Answer:

60

Step-by-step explanation:

13+7=20  20=10=30  30+30= 60

Hope this helps!

Answer:15

Step-by-step explanation:

Find the median of the data.

35, 29, 21, 49, 13, 38, 40

Answers

Answer:

to sum it up put all of the numbers ers in order and it is the middle number

Answer:

13, 21, 29, (35) , 38, 40, 49

Step-by-step explanation:

The medium is the number in the middle in an assorted number line so do least from greatest and pick one out of the middle

How would you limit the domain to
make this function one to one?
f(x) = (x + 3)^2

Answers

Answer:

Domain would be x -3.

So enter -3.

Step-by-step explanation:

This is a parabola with line of symmetry x = -3.

When x has values like  say -4 and -2,  f(x)  will have a value of 1 making the function many to one.

So,  to make it one to one, x would have to be equal or greater than -3.

A function assigns values. The limit of the domain to make this function one to one is x≥3.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A one to one function is a function whose every input gives a distinct output. Now given the function is a quadratic function, therefore, the function will have the same output for multiple inputs.

Since the symmetrical axis for this function lies at x=-3, therefore, for the function to be one to one the domain of the function must be greater than or equal to 6.

Hence, the limit of the domain to make this function one to one is x≥3.

Learn more about Function:

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Select the correct answer.
To help with staffing decisions, the manager of a large grocery store recorded the total number of customers waiting in line at registers each half
hour over a 12-hour period. The data she collected is shown in the graph.
X Customers in Line by Half Hour
40
36
32
28
.
24
Customers
20
16
12
8
4
11:00
a.m.
0
9:00
1:00 3:00
5:00 7:00 9:00
a.m
p.m. p.m. p.m.
p.m.
p.m.
Time of Day
The manager recognizes that the data approximates a transformation of the parent sine function, y = sin(s).
Which value is closest to the midline of the transformed function?
?
OA
14
OB
20
OC. 24
OD. 17

Answers

Answer:

24

Step-by-step explanation:

correct on plato

What is the equation of the line that passes through the point (-3, 6) and has a
slope of -2?

Answers

Answer:

y = -2x

Step-by-step explanation:

i believe its y = -2x

Hal's business made 50,0000 last year. This year, his business made 650,000. What is the percentage difference?

Answers

The percentage difference in the amounts made is 30%.

What is the percentage difference?

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.

Percentage difference= [ (amount made this year / amount made last year) - 1 ] x 100

'(650,000 / 500,000) - 1] x 100 = 30%

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Jim and bill each invest $15,000 into savings accounts that earn 3.5% interest. Jims account earns simple interests and bills account earns compound interest. After 25 years, who will earn more interest and how much more will he earn.

Answers

Answer:

Bill will earn more interest

He will earn $ 20,448.67 from his investment

Step-by-step explanation:

Firstly let us calculate Jim's earnings based on simple interest

A = P(1 + rt)

Calculation:

First, converting R percent to r

a decimal

r = R/100 = 3.5%/100 = 0.035 per year.

Solving our equation:

A = 15000(1 + (0.035 × 25)) = 28125

A = $28,125.00

The total amount accrued, principal plus interest, from simple interest on a principal of $15,000.00 at a rate of 3.5% per year for 25 years is $28,125.00 for Jim

Now let's us calculate bill's investment based on compound interest

Equation

A = P(1 + r)^t

A=15000(1+0.035)^25

A=15000(1.035)^25

A=15000*2.36324498427

A = $ 35,448.67

We see that Bill will earn

$ 20,448.67 from his investment

Yui makes a list of the balances in her savings account at the end of each month. She notices that each month's total is 5% greater than the previous moth's total. She writes a recursive formula to describe the account balances. Which value should she use as the common ratio

Answers

1.05*prevous month total or

Starting balance * 1.05^n where n is the number of months

Answer:

the answer is C 1.05

Step-by-step explanation:

Work out the value of x.

Answers

Answer:

x = 20

Step-by-step explanation:

2x + 7x = 180

9x = 180

x = 20

PLEASE ANSWER FAST! What is the base of a 30-60-90 triangle with a height of 12 yd?

Answers

Answer:

side opposite 30° angle (shorter leg) = 6 cm

 

 side opposite 60° angle (longer leg) = 6√3 cm

Step-by-step explanation:

I'm not 100% sure if this is right but if its wrong i am so sorry.

help please???????????????????????​

Answers

Answer:

2. reflexive property

4. transitive property

5. By angle angle side

Hope this helps

ALL THE BEST!!

2. Reflective property

4. Transitive property

5. By angle angle side

Here are five sums. Use the distributive property to write each sum as a product with two factors. 2+7 5−10 −2^2 +++ 2−1/2

Answers

Question:

Here are five sums. Use the distributive property to write each sum as a product with two factors.

[tex](a)\ 2a + 7a[/tex]      [tex](b)\ 5z - 10[/tex]    [tex](c)\ c - c^2[/tex]      [tex](d)\ r + r+ r+ r[/tex]    [tex](e)\ 2x - \frac{1}{2}[/tex]

Answer:

[tex](a)\ 2a + 7a = 9a[/tex]

[tex](b)\ 5z - 10 = 5(z - 2)[/tex]

[tex](c)\ c - c^2 = c(1 - c)[/tex]

[tex](d)\ r + r + r + r = 4r[/tex]

[tex](e)\ 2x - \frac{1}{2} = \frac{1}{2}(4x - 1)[/tex]

Step-by-step explanation:

Required

Apply distributive property

[tex](a)\ 2a + 7a[/tex]      

Apply distributive property [Factor out a]

[tex]2a + 7a = a(2 + 7)[/tex]

[tex]2a + 7a = a(9)[/tex]

Open bracket

[tex]2a + 7a = a*9[/tex]

[tex]2a + 7a = 9a[/tex]

[tex](b)\ 5z - 10[/tex]    

Express 10 as 5 * 2

[tex]5z - 10 = 5z - 5*2[/tex]

Apply distributive property [Factor out 5]

[tex]5z - 10 = 5(z - 2)[/tex]

[tex](c)\ c - c^2[/tex]      

Express c as c * c

[tex]c - c^2 = c - c * c[/tex]

Apply distributive property [Factor out c]

[tex]c - c^2 = c(1 - c)[/tex]

[tex](d)\ r + r+ r+ r[/tex]    

Express r as r * 1

[tex]r + r + r + r = r * 1 + r * 1 + r * 1 + r *1[/tex]

Apply distributive property [Factor out 1]

[tex]r + r + r + r = r(1+1+1+1)[/tex]

[tex]r + r + r + r = r * 4[/tex]

[tex]r + r + r + r = 4r[/tex]

[tex](e)\ 2x - \frac{1}{2}[/tex]

Express 2x as 4x/2

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

Apply distributive property [Factor out 1/2]

[tex]2x - \frac{1}{2} = \frac{1}{2}(4x - 1)[/tex]

Figure A is a scale image of Figure B.

Answers

Answer:

x = 5.4

Step-by-step explanation:

Corresponding sides are in proportion, that is

[tex]\frac{x}{7.2}[/tex] = [tex]\frac{3}{4}[/tex] ( cross- multiply )

4x = 21.6 ( divide both sides by 4 )

x = 5.4

Given the function f (x) = x² + 8x + 7, what are the zeros of f?

Answers

Answer:

x = - 7, x = - 1

Step-by-step explanation:

To find the zeros let f(x) = 0 , that is

x² + 8x + 7 = 0

Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)

The factors are + 7 and + 1 , since

7 × 1 = + 7 and 7 + 1 = + 8 , then

x² + 8x + 7 = 0

(x + 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 1 = 0 ⇒ x = - 1

Answer Please ⠀⠀⠀⠀⠀⠀⠀⠀

Answers

Answer:

if;3=1.98 what about 2

3-1.98

2-?

2×1.98÷3=$1.32

Ans: 2 cans for $1.32

what's the value of
[tex] = > 25 \times 386 + 3219 \div 2[/tex]

Answers

Answer:

11259.5

Step-by-step explanation:

25 × 386 + 3219 ÷ 2 = 9650 + 1609.5 = 11259.5

Answer:

11259.5

Step-by-step explanation:

25×386+3219÷2

Multiply 25 and 386 to get 9650.

9650+3219/2

Convert 9650 to fraction 19300/2.

19300/2+3219/2

Since 19300/2 and 3219/2 have the same denominator, add them by adding their numerators.

19300+3219/2

Add 19300 and 3219 to get 22519.

22519/2

Divide 22519 by 2 to get 11259.5.

11259.5

Simplify a^4b^3×a^2b/a^-5b^-2​

Answers

Answer:

a^11 b^5

Step-by-step explanation:

basically you combine like terms on both sides of the division problem separately

which now becomes a^6b^3/a^-5 b^-2

then you divide which is just subtracting the exponents of like terms

a^(6--5) b^(3--2)

and then solve and you get the answer a^11 b^5

Does someone have an answer

Answers

Answer:

for what

Step-by-step explanation:

helo?

Answer:

x = $11

Step-by-step explanation:

5x = $55

9x = $99

2x = $22

In order to find the relationship between x and y, all we have to do is divide y by the term.

                                                       $55 ÷ 5 = 11

                                                       $99 ÷ 9 = 11

                                                       $22 ÷ 2 = 11

                             Therefore, each ticket sold is $11, or x = $11

6 in
24 in

I don’t get this at all and I have trouble with math

Answers

What’s the full question?

One half of one one hundredth is

Answers

Answer:

1/2 of 1/100 = 1/200

Step-by-step explanation:

you will get brianliest​

Answers

Answer:

1.8

2.10

3.9

Step-by-step explanation:

LOl why are u asking this

Answer:

1 is 8

2 is 10

3 is 9

Step-by-step explanation:

basically ur dividing the fraction so its like if u cut parts of a singular slice of pizza

what is the value of x in the equation 3(2x + 8) =0

Answers

Answer:

x=-4

Step-by-step explanation:

1. Distribute

3(2x+8)=0

6x+24=0

2. Subtract 24 from both sides.

6x+24=0

6x+24-24=0-24

3. Simplify

6x=-24

4. Divide both sides of the equation by the same term

6x=-24

[tex]\frac{6x}{6}[/tex] = [tex]\frac{-24}{6}[/tex]

5. Simplify

x=-4

And thats the answer.

I hope this helps        :)

In a geometric sequence, the ratio between consecutive terms is?

Answers

In a geometric sequence, the ratio between consecutive terms is always the same.

i need help what is x?

Answers

Answer:

square root of 109

Step-by-step explanation:

Use the Pythagorean Theorem to find x. The equation is a^2+b^2=c^2. In this case, a=3, b=10, and c=x. Plug that into the equation to get 9+100=c^2. Simplify that to get 109=c^2. Then divide each side by squared to get square root of 109=c.

Hope this helps

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