Which logarithmic equation is equivalent to this exponential equation?

Answer:

Its the last option.

Step-by-step explanation:

The function will  rise from the left and descend to the right.

f(x) ---> -∝ as x ---> -∝ and f(x) ---> -∝ as x ---> ∝

Let's see

[tex]\boxed{\sf log_aa=1}[/tex]

Now

[tex]\\ \rm\Rrightarrow log_{10}0.0001)[/tex]

[tex]\\ \rm\Rrightarrow log_{10}10^{-4}[/tex]

[tex]\\ \rm\Rrightarrow -4log_{10}10[/tex]

[tex]\\ \rm\Rrightarrow -4[/tex]

Answer:

This has already been answered correctly, but I'll add an additional perspective.  The log of (0.0001 to the base 10 is -4.

Step-by-step explanation:

log(base 10) says give us an exponent, x, that would be required to make [tex]10^{x}[/tex] equal to a specified number, in this case 0.0001.

[tex]10^{0}[/tex] = 1

[tex]10^{1}[/tex] = 10

[tex]10^{-1}[/tex] = 0.1

[tex]10^{-2}[/tex] = 0.01

[tex]10^{-4}[/tex] = 0.0001

The log of (0.0001) to the base 10 is -4.

Answer:

broken line

Step-by-step explanation:

for the graph of an inequality with < or >  use a broken line

-----------------------------------

for the graph of an inequality with ≤ or ≥ use a solid line

if a/b and c/d are rational expressions,a/b / c/d = a*b/c*d is false.

A fraction number is a number that represents a portion of a larger number, where the larger number might be any integer. It has the shape of a numerator and a denominator.

The given rational expression is;

a/b and c/d

Given relation;

[tex]\rm \frac{\frac{a}{b}}{\frac{c}{d}}\\\\ \frac{a d}{bc}[/tex]

When two fractions are divided the number got reversed and multiplied by the fraction.

Hence the given calculation is false.

To learn more about fraction numbers, refer to https://brainly.com/question/8602593.

#SPJ1

Answer: false

Step-by-step explanation: .

(x+4) is a factor of this trinomial given , Option A is the right answer.

A factor is a number o expression that completely divides the number or the expression and the remainder is equal to zero.

The given trinomial is

x² +12x+32

x² + 8x +4x +32

x(x+8)+4 (x+8)

(x+8)(x+4)

From the given option Option A (x+4) is the right answer.

To know more about Factor.

https://brainly.com/question/24182713

#SPJ1

Answer:

$.46 or 46 cents per foot

Step-by-step explanation:

3 yards = 4.14

1 yard is 3 feet

3 yards is 9 feet

4.14 ÷ 9 = .46

The Voltage of the given Circuit is gotten as; V = 36 - 2j Volts

We are given;

Current; I = 3 + 4j amps

Resistance; R = 4 - 6j ohms

From ohms law, we know that;

V = IR

Thus;

V = (3 + 4j) * (4 - 6j)

V = 12 + 16j - 18j - 24j²

Now, in vector notation; j² = -1. Thus;

V = 12 - 2j + 24

V = 36 - 2j Volts

Read more about Vector Multiplication at; https://brainly.com/question/3184914

#SPJ1

The unit rate at which Martin paints in walls per gallon is 1 7/25 walls per gallon

Unit rate of paint per gallon = Quantity of wall / gallon of paint

= 4/5 ÷ 5/8

= 4/5 × 8/5

= (4 × 8) / (5 × 5)

= 32/25

= 1 7/25 walls per gallon

Complete question:

Martin uses 5/8 of a gallon of paint to cover4/5 of a wall. What is the unit rate at which Martin paints in walls per gallon

Learn more about unit rate:

https://brainly.com/question/620388

#SPJ1

The range of the function is

[tex]y \leqslant 1[/tex]

Answer:

The answer is B. 7/15!!!

i just guessed and got it right, but i knew c. wasnt the answer.

Answer:

D is the answer for you.

A function assigns the values. The correct option is C.

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

The complete question is:

Function h is a transformation of the parent exponential function. Which statement is true about this function? h(x) = 2^(x-5)

As x approaches negative infinity, h(r) approaches negative infinity.

As x approaches positive infinity, h(t) approaches 0.

As x approaches positive Infinity, h(t) approaches positive infinity.

As x approaches negative infinity, h(a) approaches positive infinity.​

The graph of the function is given below, as it can be observed that as x approaches positive Infinity, h(t) approaches positive infinity.

Hence, the correct option is C.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ1

The Saturday will be the day on 18th February 2040 if  18th February 2030 falls on Monday

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have:

18th February 2030 falls on Monday

To find what will be the day on 18th February 2040

Calculate the expression:

= Given date + Month code + (difference between years) + Numbe of leap year

Leap year = difference between years/4

= (2040-2030)/4

= 10/4 = 2.5 ≈2

= 18 + 3 + (2040-2030) + 2

= 33

Divide 33 by 7 the remainder will be 5

Day code = given day code + remainder

= 1 + 5

= 6 (saturday from the table attahced)

Thus, Saturday will be the day on 18th February 2040 if  18th February 2030 falls on Monday.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ1

Answer:

Laurel has to cover this area with 2.64 ounces of seeds.

Step-by-step explanation:

Given

Base of Parallelogram = 30ft

Height of Parallelogram = 22ft

Area of Parallelogram = 1/2*base*height

Therefore, Area of Parallelogram =  1/2*30*22

                                                        = 330sq. ft

Given

One ounce of seed covers 125 sq. ft

Hence, No. of ounces needed to cover 330 sq. ft= 330/125

                                                                                  = 2.64

Read more at below link:

https://brainly.in/question/3877465?

#SPJ10

We conclude that after the discount and the coupon, Will paid $36 for the skateboard.

We know that the original price was $60, and two discounts were applied. One of 20% and other of 25%.

Then the amount that he paid is given by:

P = $60*(1 - 20%/100%)*(1 - 25%/100%)

P = $60*(0.8)*(0.75)  = $36

We conclude that after the discount and the coupon, Will paid $36 for the skateboard.

If you want to learn more about discounts:

https://brainly.com/question/843074

#SPJ1

Answer:

The rectangular table

Step-by-step explanation:

Square table: 36*36=1296

Rectangular table: 20*42=1460 [tex]in^{2}[/tex]

Circular table: [tex]\pi * 21^{2}[/tex]≅1384

The answer is 45


------------------------------------------------------------

Answer:

Step-by-step explanation:

When 2 lines are perpendicular, their slopes are negative reciprocals of one another.  Here, if the slope of A is -1/2, the slope of B is +2/1, or just 2.

Answer:

Step-by-step explanation:

AB = 51

AC = 120

BC = AC - AB

BC = 120-51

BC = 69 units

The value of expression is -(x- 4y/3 + 5z/3)

A fraction represents a part of a whole or, more generally, any number of equal parts.

Given:

1/3 · (-3x + 4y - 5z)

= 1/3(-3x) + 1/3 *4y + 1/3* (-5z)

= -x +4/3*y -5/3 *z

=-(x- 4y/3 + 5z/3)

Hence, 1/3 · (-3x + 4y - 5z)= -(x- 4y/3 + 5z/3)

Learn more about this concept here:

https://brainly.com/question/9655268

#SPJ1

Step-by-step explanation:

[-5, 4] because it is an empty circle, meaning less than

Answer:

x =83

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles.

x+43 = 126

Subtract 43 from each side

x = 126 -43

x =83

Let's take this problem step by step:

For the angle adjacent to the exterior angle of 126°:

  ⇒ exterior angle plus the that angle is equal to 180 degrees

      ⇒ since it is on a straight line

                 [tex]126 + that_.angle=180\\\rm \hookrightarrow that.angle=180-126\\\rm \hookrightarrow that.angle=54[/tex]

The sum of all the angles in a triangle is: 180°

                [tex]that.angle+43+x=180\\\rm \hookrightarrow 54+43+x=180\\\rm \hookrightarrow 97+x=180\\\rm \hookrightarrowx=83[/tex]

The size of angle x is 83°

Answer: 83°

Hope that helps!

#LearnwithBrainly

Answer:

12 sides

Explanation:

[tex]\sf interior \ angle = \dfrac{(n-2) \times 180}{n} \quad (where \ n \ denotes\ number \ of \ sides)[/tex]

Solving Steps:

[tex]\sf \dfrac{(n-2) \times 180}{n} = 150[/tex]

[tex]\sf (n-2) \times 180} = 150n[/tex]

[tex]\sf 180n-360 = 150n[/tex]

[tex]\sf 180n-150n = 360[/tex]

[tex]\sf 30n = 360[/tex]

[tex]\sf n = 12[/tex]

Answer:

6 green marbles should be added.

Step-by-step explanation:

If the probability of drawing a blue marble from 18 marbles is 2/3 then there are 12 blue marbles because 18 times 2/3 is 12. This means that to reduce this probability to 1/2 you need to add 6 more marbles to the total amount to get it to 24. Now the probability of getting a blue marble is 12/24 which is 1/2.

Answer: 90 degrees

Step-by-step explanation:

The hypotenuse is opposite the right angle, which is created by the two shortest sides.

Firstly, let’s assume the the whole capacity the work requires is 1.

Then, let’s see how 1 man can do in 50 days: 1/5.

Further, let’s see how 1 man can do in 1 day : 1/(5×50) = 1/250.

Similarly, let’s see how 1 woman can do in 1 day: 1/(10×50) = 1/500.

Now, we have 8 men, and they can do 8*1/250 in 1 day, which is 4/125.

Besides, we have 4 women, and they can do 4×1/500 in 1 day, which is 1/125.

Therefore, all people we have can do 4/125 + 1/125 of the work in 1 day, which is 1/25.

As a result, the work takes 1/(1/25)= 25 days.

The number of possible license plates that can be issued using this system is 67600000.

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements.

Here, number plate contains 5 numbers and 2 letters

Total possible number (0-9) = 10

Total possible letters (A-Z) = 26

Possible number plates which contains 5 numbers and 2 letters are

          ¹⁰C₁ X  ¹⁰C₁ X  ¹⁰C₁ X  ¹⁰C₁ X  ¹⁰C₁ X ²⁶C₁ X ²⁶C₁

             10 X 10 X 10 X 10 X 10 X 26 X 26

                 10⁵ X 26²

                   676 X 10⁵

                 67600000

Thus, the number of possible license plates that can be issued using this system is 67600000.

Learn more about Combinations from:

https://brainly.com/question/19692242

#SPJ1

Step-by-step explanation:

as we see in the sequence, each term is twice of the previous term.

we mark the Nth as a(N), then:

a(N)=2a(N-1)

Answer:

[tex]a_{n}[/tex] = 5[tex](2)^{n-1}[/tex]

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

10 ÷ 5 = 20 ÷ 10 = 40 ÷ 20 = 80 ÷ 40 = 2

this indicates the sequence is geometric with explicit formula

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 5 and r = 2 , then

[tex]a_{n}[/tex] = 5 [tex](2)^{n-1}[/tex]