The equation shown below represents a logarithmic equation of base b.
a = logb(c)
 
Which set of numbers can a represent?

A.Only numbers > 0
B. Only numbers < 0
C All real numbers except 0
DAll real numbers

Answers

Answer 1

Answer:

C. All real numbers except 0

Step-by-step explanation:

It is the same as " numbers > 0"

Answer 2

Option (A) is correct.

What is logarithmic equation?

"This equation will have all the terms but one be a logarithm and the one term that doesn’t have a logarithm will be a constant. In order to solve these kinds of equations we will need to remember the exponential form of the logarithm".

For the given situation,

The logarithmic equation, [tex]a = logb(c)[/tex]

⇒[tex]b^{c} = a[/tex]

Where a>0 , b>0 and b!=1

Thus a can represent, only numbers > 0.

Hence we can conclude that option (A) is correct.

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Related Questions

X=
0 4
06
0 12
pls help !

Answers

Answer:

maube 12

Step-by-step explanation:

i am not sure ..but try ur luck

Given that is directly proportional to (p-1)2 and p is always positive, find the
value of p when q = 80 , if 9= 30 when p = 7

A) 4
B) 6
Ch 10.82

Answers

Answer:

p = 10.8

Step-by-step explanation:

Given that p is directly proportional to (p-1)² and p is always positive, then;

q = k (p-1)²

If q = 30 and p = 7

30 = k(7-1)²

30 = 6²k

30 = 36k

5 = 6k

k = 5/6

To get p when q = 80

q =k (p-1)²

80 = 5/6((p-1)²

480 = 5(p-1)²

480/5 = (p-1)²

(p-1)² = 96

p-1 = √96

p-1 = 9.8

p = 9.8 + 1

p = 10.8

B) 6

Ch 10.82

I’m sorry to whoever has to do edg next year

Answers

I do! pray for me because this is going to suck

A password is made up of 4 letters. If the letters can be repeated how many passwords can be created. NO LINKS!!!​

Answers

Answer:

456,796 passwords

Step-by-step explanation:

Because any letter can be repeated for the 4-letter password, there are 26 possible letters for the first letter of the password, 26 possible letters for the second letter of the password, 26 possible letters for the third letter of the password, and 26 possible letters for the fourth letter of the password. Therefore, the possible number of passwords that can be created is 26*26*26*26 = 26^4 = 456,796 passwords

2
3
us
DO
ON
7
45
US
S

Answers

Answer:

9.8 sq. in.

Step-by-step explanation:

A = πr²

Diameter: 10 inches

Radius: 5 inches

A = π · 5²

A = π · 25

A = 78.54

Section 4 is about one eighth of the circle.

78.54 ÷ 8

9.8175

9.8175 ≈ 9.8

a rectangle park has a perimeter of 80m one side measures 16m what are the lengths of the other three sides​

Answers

Answer:

16m 24m and 24m

Step-by-step explanation:

Given the fact that it's a rectangle, and 1 side is 16m, we know that 1 of the other sides will be 16m. After that and some simple subtraction, we get the other 2 sides are 24m.

Express the confidence interval (63.3%, 79.1%) in the form of ˆp ± ME.
___% ± ___%

Answers

Answer:

[tex]p \± ME[/tex] [tex]\to[/tex] [tex]71.2\% \± 7.9\%[/tex]

Step-by-step explanation:

Given

[tex](63.3\%,79.1\%)[/tex]

Required

Express in form of: [tex]p \± ME[/tex]

First, calculate the midpiont (p)

[tex]p = \frac{63.3\% + 79.1\%}{2}[/tex]

[tex]p = \frac{142.4\%}{2}[/tex]

[tex]p = 71.2\%[/tex]

The margin of error (ME) is:

[tex]ME =79.1\% - 71.2\%[/tex]

[tex]ME =7.9\%[/tex]

So, we have:

[tex]p \± ME[/tex] [tex]\to[/tex] [tex]71.2\% \± 7.9\%[/tex]

i need to answer for the parentheses

Answers

Answer:

(4x+2) +(3x+4)

Step-by-step explanation:

2(6x²+11+4)

(6x+3)+(3x+4)

12x²+16x+6x+8

12x²+22x+8

let me know if this helps guys my husband helped me with it he is good at math

A certain culture of the bacterium Rhodobacter sphaeroides initially has 45 bacteria and is observed to double every 5 hours. (a) Find an exponential model n(t)

Answers

Answer:

The exponential model n(t) is [tex]n(t) = 46(1.1487)^t[/tex]

Step-by-step explanation:

Exponential model of population growth:

An exponential model for population growth has the following model:

[tex]n(t) = n(0)(1+r)^t[/tex]

In which n(0) is the initial value and r is the growth rate, as a decimal.

Observed to double every 5 hours.

This means that [tex]n(5) = 2n(0)[/tex]

We use this to find 1 + r. So

[tex]n(t) = n(0)(1+r)^t[/tex]

[tex]2n(0) = n(0)(1+r)^5[/tex]

[tex](1+r)^5 = 2[/tex]

[tex]\sqrt[5]{(1+r)^5} = \sqrt[5]{2}[/tex]

[tex]1 + r = 2^{\frac{1}{5}}[/tex]

[tex]1 + r = 1.1487[/tex]

So

[tex]n(t) = n(0)(1+r)^t[/tex]

[tex]n(t) = n(0)(1.1487)^t[/tex]

Initially has 45 bacteria

This means that [tex]n(0) = 45[/tex]. So

[tex]n(t) = n(0)(1.1487)^t[/tex]

[tex]n(t) = 46(1.1487)^t[/tex]

The exponential model n(t) is [tex]n(t) = 46(1.1487)^t[/tex]

A 12 ft. ladder is leaning against a house. The ladder makes a 60° angle with the ground. Use special right triangles to find how far up the building the ladder will reach.

Answers

Given:

The length of the ladder  = 12 ft

The angle of ladder with ground = 60 degrees

To find:

How far up the building the ladder will reach.

Solution:

Using the given information draw a figure as shown below.

We need to find the vertical distance between the top of ladder and the ground.

Let x be the required distance.

In a right angle triangle,

[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

In the below triangle ABC,

[tex]\sin A=\dfrac{BC}{AC}[/tex]

[tex]\sin 60^\circ=\dfrac{x}{12}[/tex]

[tex]\dfrac{\sqrt{3}}{2}=\dfrac{x}{12}[/tex]

Multiply both sides by 12.

[tex]\dfrac{\sqrt{3}}{2}\times 12=x[/tex]

[tex]6\sqrt{3}=x[/tex]

Therefore, the ladder will reach [tex]6\sqrt{3}[/tex] ft far up the building.

A spinner has three unequal sections: red, yellow, and blue. The table shows the results of Nolan's spins. Find the experimental probability of landing on each color. Enter your answers as simplified fractions.


Red 12
Yellow 18
Blue 5

Answers

Answer:

red: 12/35

yellow: 18/35

blue: 1/7

Step-by-step explanation:

The experimental probability is the total number of each outcome over the total outcomes. The total outcomes would be the sum, 12 + 18 + 5, or 35.

If we are looking for the experimental probability of red, we divide the spins on red by the total:

red - [tex]\frac{12}{35}[/tex]

If we are looking for the experimental probability of yellow, we divide the spins on yellow by the total:

yellow - [tex]\frac{18}{35}[/tex]

If we are looking for the experimental probability of blue, we divide the spins on blue by the total:

blue - [tex]\frac{5}{35}[/tex] = [tex]\frac{1}{7}[/tex]

Which ratio is equivalent to the ratio 33:39?

Answers

Answer:

[tex]33 : 39 \equiv11 : 13[/tex]

11 : 13 that is the answer I looked at someone else’s

Hurry which one
A.70
B.84
C.112
D.138

Answers

Answer:

A = 84 ft^2

Step-by-step explanation:

A = bh  where b is the base and h is the height

A = 12*7

A = 84 ft^2

plssss answer no links !!

Answers

I recommend using a math app. You can easily get ur answers without waiting
q = 5/3

r = 9/2

s = 21

t = 10

u = -14

v = -3/2

How do you solve the equation 3 1/5 +n=9?

Answers

Answer:

n = [tex]5\frac{4}{5}[/tex]

Step-by-step explanation:

You obviously have to solve for n

what is the mathematical representation of joules law of heating ?​

Answers

Answer:

Q = I^2 R T

Step-by-step explanation:

What is the mathematical representation of joules law of heating

What is joules law of heating ??

Joule’s law is a mathematical description of the rate at which resistance in a circuit converts electric energy into heat energy.

Mathematically

Q = I^2 R T

Where,

Q indicates the amount of heat

I show electric current

R is the amount of electric resistance in the conductor

T denotes time

The annual energy consumption of the town where Camilla lives increases at a rate that is proportional at any time to the energy consumption at that time. The town consumed 4.44.44, point, 4 trillion British thermal units (BTUs) initially, and it consumed 5.55.55, point, 5 trillion BTUs annually after 555 years. What is the town's annual energy consumption, in trillionso f BTUs, after 9 years?

Answers

Answer:

The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.

Step-by-step explanation:

The annual energy consumption of the town where Camilla lives increases at a rate that is proportional at any time to the energy consumption at that time.

This means that the consumption after t years is given by the following differential equation:

[tex]\frac{dC}{dt} = kC[/tex]

In which k is the growth rate.

The solution is, applying separation of variables:

[tex]C(t) = C(0)e^{kt}[/tex]

In which C(0) is the initial consumption.

The town consumed 4.4 trillion British thermal units (BTUs) initially.

This means that [tex]C(0) = 4.4[/tex]

So

[tex]C(t) = C(0)e^{kt}[/tex]

[tex]C(t) = 4.4e^{kt}[/tex]

5.5 trillion BTUs annually after 5 years.

This means that [tex]C(5) = 5.5[/tex]. We use this to find k. So

[tex]C(t) = 4.4e^{kt}[/tex]

[tex]5.5 = 4.4e^{5k}[/tex]

[tex]e^{5k} = \frac{5.5}{4.4}[/tex]

[tex]e^{5k} = 1.25[/tex]

[tex]\ln{e^{5k}} = \ln{1.25}[/tex]

[tex]5k = \ln{1.25}[/tex]

[tex]k = \frac{\ln{1.25}}{5}[/tex]

[tex]k = 0.0446[/tex]

So

[tex]C(t) = 4.4e^{0.0446t}[/tex]

After 9 years?

This is C(9). So

[tex]C(9) = 4.4e^{0.0446*9} = 6.57[/tex]

The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.

algebra 2 question. need help​

Answers

Answer:

Step-by-step explanation:

Log25 1000

Answer:

log5 (1000)

Step-by-step explanation:

logb (x) + logb (y) = logb (xy)

log5 (4) + log5 (250) = log5 (4 * 250) = log5 (1000)

Which statement about the graph of y = tan x is true?

Answers

hence options! not sure on specifics

Put the following equation of a line into slope-intercept form, simplifying all
fractions.

18y – 3.x = -90

Answers

Answer:

The equation of the line in slope-intercept formula is [tex]y = \frac{x}{6} - 5[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line, in slope-intercept formula, is given by:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept(value of x when y = 0).

In this question:

[tex]18y - 3x = -90[/tex]

Isolating y:

[tex]18y = 3x - 90[/tex]

[tex]y = \frac{3x}{18} - \frac{90}{18}[/tex]

Simplifying the fractions:

[tex]y = \frac{x}{6} - 5[/tex]

The equation of the line in slope-intercept formula is [tex]y = \frac{x}{6} - 5[/tex]

WILL GIVE BRAINLIST
MATH




CONVERT EACH MEASUREMENT

SHOW STEPS ALL

18 pints to gallons

Answers

Answer:

2.25 Gallons.

Step-by-step explanation:

A pint is [tex]\frac{1}{8} th[/tex] of a gallon or 0.125.

Multiply 18 pints by 0.125.

18 · 0.125 = 2.25

To Check Work:

Divide 2.25 by 0.125 to equal 18.

[tex]\frac{2.25}{0.125} = 18[/tex]

Divide 2.25 by 18 to equal 0.125.

[tex]\frac{2.25}{18} = 0.125[/tex]

I REALLY NEED HELP PLS I NEED THIS DONE TODAY!!! JUST LOOK AT THE PICTURE!!!

Answers

Answer:

147 sq meters

Step-by-step explanation:

To find the area of a trapezoid, use the formula ( (a+b)/2 ) x h, where a is base value 1 and b is base value 2. Plugging it all in : ( (4+17)/2 ) = 10.5 x 14 = 147 sq meters.

Answer: the answer is 147 square meters.

Step-by-step explanation:

formula: (a+b)/2 * h

bases are a and b: 4 and 17 meters.

h =14 meters

Plug numbers in (4+7)/2*14

solve and you get 147 square  meters as answer

Help me PLEASEEEEEEEEEEEEE

Answers

Answer:

C) 6t=c because you are trying to find c not the number of tables and no addition is needed.

What is the area of the rectangle?
2 feet
6 feet
square feet

Answers

Answer:

The area of the rectangle is 12

6x2=12

I need help finding the slope. I will report you if you use a link

Answers

3/4 up 3 over 4, its a positive slope

From her home, Adriana would have to walk due north to get to her friend Gavin's house and due east to get to her friend Zach's house. It is 3 miles from Adriana's house to Zach's house and a straight-line distance of 5 miles from Gavin's house to Zach's house. How far is Adriana's house from Gavin's house?'

Answers

Answer:

4 miles.

Step by step explanation

Find the volume of the hexagonal prism .
please help . Work due in 20 minutes and I can’t get this one

Answers

Answer:

[tex](\frac{3\sqrt{3} }{2}(14)^2)*16[/tex]

[tex]=509.22+16[/tex]

[tex]8147.52m^3[/tex]

[tex]ANSWER:8147.50~m^3[/tex]

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

hope it helps..

have a great day!!

An equilateral triangle has on vertex at the origin, another on the x-axis, and the third in the quadrant. find the slope of each side

Answers

Answer:

0, - 1.732 , 1.732

Step-by-step explanation:

The slope of the line is the angle of the tangent from the positive X axis in counter clock wise direction.

The slope of line AB is

tan 180 = 0

The slope of line BC is

tan 300 = - 1.732

The sloe of line AC is

tan 240 = 1.732

A sphere has a radius of 3 centimeters. What is the volume of the sphere?
367 cm
727 cm
1447 cm
2887 cm
оо

Answers

Answer:

Volume = 113.1 cubic cm

Step-by-step explanation:

[tex]Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi 3^3 = 4 \pi \times 9 = 36 \pi=113.1 cm^3[/tex]

can someone answer this!?

Answers

Answer:

x = 58

Step-by-step explanation:

Hope this helps

enjoy

Answer:

the answer is d because that is how much degrees it is

Step-by-step explanation:

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