The **expression **that can be used to** approximate** the expression below is[tex]log_a x = \frac{log_{b}a}{log_{b}x}[/tex]

[tex]log_a x = \frac{log_{10}a}{log_{10}x}[/tex]

This is similar to the **option c** where the base of "b" was used as [tex]log_a x = \frac{log_{b}a}{log_{b}x}[/tex]

Learn more on **law of logarithms** here: https://brainly.com/question/11587706

**Answer: C**

**Step-by-step explanation:**

If you don't want to read it all

solve one step equation

x/4 = 16

**Hi there!**

Since this is a one-step equation, we can solve it in one step.

This step is multiplying both sides by 4 to isolate x:

x=16*4

x=64

Therefore, x=64.

Hope it helps!

~GracefulGirlie

Good luck. :)

**Answer:**

X = 64

**Step-by-step explanation:**

x/4 = 16

Multiply both sides by 4

x = 16 x 4

Multiply 16 and 4 equals 64

I used the Microsoft math solver app, if this answer is correct you can use it as a tool for future math problems. I used it a lot in my math class. Hope this helps :)

There are 93 calories in 3 cups of popcorn. How many calories are in 4.5 cups of popcorn?

**Answer: I think its 106 calories**

**Step-by-step explanation:**

sorry if im wrong

the answer i got was 139.5

5x=30

AAAA

Help.. -v-

**Answer:**

x equals 6:

5x=30

x=30/5

x= 6

**Answer:**

**x=6**

**Step-by-step explanation:**

to help you understand whatever you do on one side you do on the other so

in this case to find **x **we need to divide** x** by 5 and if we divide **x** by 5 we also

need to divide 30 by 5

∵5x=30

∵5x÷5=30÷5

∵**x=6**

How can I solve this?

**Answer:**

This is not possible with 2 equal symbols

help please???????????

**Answer:**

The answer is C. (a + -a = 0 )

**Step-by-step explanation:**

"The additive inverse of a number a is the number that, when added to a, yields zero"

i need answer please

**Answer:**

7

**Step-by-step explanation:**

48/6=8

56/8=7

**Answer:**

7

**Step-by-step explanation:**

the second triangle is 1/8 of the first so 56 divided by 8 is 7

What is the sine rule

**Answer:**

Sine, in a right triangle, is the side opposite to the angle divided by the hypotenuse.

Law of sines (on any triangle) is

[tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]

where A, B, and C are angles and a, b, and c are side lengths opposite to the angles.

**Answer:**

sine rule states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle.

**Step-by-step explanation:**

In a triangle with sides a,b,c:

a/sin A = b/sin B = c/sin C

n less than 10

.......................

**Answer:**

n<10

**Step-by-step explanation:**

HELP PLS ! How many solutions does the following system of equations have?

**Answer:**

A - infinite

**Step-by-step explanation:**

The 2 lines are on top of each other making any point on either line a solution.

Hope that helps

What is the slope of the line that passes through the points (5, 6)(5,6) and (5, 9) ?(5,9)? Write your answer in simplest form.

**Answer:**

**Step-by-step explanation:**

Slope is defined as the "Rise" over the "Run" of a straight line. The Rise is the change in y, and the Run is the change in x. For the given points:

(5,6) and (5,9) the Rise and Run are (going from left to right).

Rise (9-6) = 3

Run = (5-5) = 0

The slope is 3/0, which is undefined (can't divide by zero).

what is the perimeter of PRT?

Give your answer as just a number.

**Step-by-step explanation:**

PT=2QS = 2×8 = 16m

therefore perimeter of ∆PRT = 6+16+14 = 36m

hope this helps you.

can someone please help with this???

**Answer: Associative property**

**Answer:**

yes

**Step-by-step explanation:**

its D

The price of a computer is first reduced by 10% and after a while by another 20%. Who is right? Explain how you are thinking.

Almir: In total, the price has been reduced by 30%.

Bodil: The reduction is less than 30%. Viktor: The price has been reduced by more than 30%.

if u reduced the price by 10% first it would go from 100% to 90%

20% of 90 is 18

at the end the price is 72% of the original price.

Bodil is correct. The reduction is less than 30%.

Luis has 3 pounds of ground turkey to make turkey burgers. He uses 3/8 pound per burger to make 6 burgers. How many 1/4 pound burgers can Luis make with the remaining turkey?

**Answer: he can make 3 1/4 pound burgers.**

**Step-by-step explanation: we know that he starts with 3 lbs of burger meat, and uses some of the meat to make 6 burgers that each weigh 3/8 lbs. If you take the 3/8 lbs and multiply by 6 burgers, you get 18/8, which is how much has been used so far. If you subtract 18/8 from the 3 lbs that Luis has originally started with, you get 6/8 lbs, which is how much he has after his first 6 burgers. Then you can take the 1/4 and see how many times it fits into 6/8 (1/4=2/8, 6/8 divided by 2/8 = 3 burgers that each weigh 1/4 lbs)**

what two numbers multiply to -34 and adds to -15?

**Answer:2.78301
**

**12.21699**

**Step-by-step explanation:
**

**Multiply:
**

**2.78301 x 12.21699 = 34
**

**
**

**Add
**

**2.78301 + 12.21699 = 15
**

A microscope shows an image of an object that is 40 times the object's actual size. So, the

scale factor of the enlargement is 40. An insect has a body length of 4 millimeters. What is the

body length of the insect under the microscope?

160 centimeters

16 millimeters

1,600 millimeters

160 millimeters

**Answer:**

I don't know I wanna say the 3rd one

**Step-by-step explanation:**

It takes 0.5 gallon of cream to make 1 pound of butter.

How much butter could you make with 0.25 gallons of cream?

**Answer:**

0.5 pounds of butter.

**Explanation**

X pounds for 0.25 gallons.

0.5 gallon of cream - 1 pound of butter

0.25 gallons of cream - X pounds of butter

Applying cross multiplication:

0.5X = 0.25

X = 0.25 over 0.5 or 0.25/0.5

X = 0.5

Therefor, you could make 0.5 pounds of butter with 0.25 gallons of cream.

By the 0.25 gallons of **cream**, we can make 0.5 pounds of **butter**.

The **ratio **is the **division **of the two numbers.

For example, a/b, where a will be the **numerator **and b will be the **denominator**.

**Proportion **is the relation of a **variable **with another. It could be direct or inverse.

Given that,

It takes 0.5 **gallons **of **cream** to make 1 pound of **butter**.

So,

0.5 gallons of **cream **⇒ 1 pound of **butter**

**Divide **both sides by 2

0.5/2 gallons of cream ⇒ 1/2 pound of butter

0.25 gallons of **cream **⇒ 0.5 pounds of **butter**

Hence "By the 0.25 gallons of **cream**, we can make 0.5 pounds of **butter"**.

For more information about **ratio **and **proportion**,

brainly.com/question/26974513

#SPJ2

Help Please Just solve the question below

B. (3, 0.5).

Step by step explanation:

x + 2y = 4

2x - 2y = 5

Adding the 2 equations eliminates the y:

3x = 9

x = 3

Substitute for x in the first equation:

3 + 2y = 4

2y = 1

y = 0.5.

Step by step explanation:

x + 2y = 4

2x - 2y = 5

Adding the 2 equations eliminates the y:

3x = 9

x = 3

Substitute for x in the first equation:

3 + 2y = 4

2y = 1

y = 0.5.

Please Help! I don't have much time to finish!

**Answer:**

............

**Step-by-step explanation:**

here........

9. How many 6 inch strands of string

can be cut from a length of string

that is 8 yards long?

There are 36 inches in a yard. Multiply 36x8 to get 288. Divide this by 6 for each segment of string which would equal 48 strands.

if f(x)=4x + 3 find f^-1(x)

**Answer:**

f^-1(x) = (x-3)/4

**Step-by-step explanation:**

The notation f^-1(x) means that you are finding the inverse of the function f(x). To do this, you'll want to swap the "x" and the "y" in the original function, and then solve for y. Here's how:

First, we take the original function and swap the two variables:

y = 4x + 3

x = 4y + 3

Then we subtract 3 from both sides

x - 3 = 4y

Then to get y on its own, we divide both sides by 4.

y = (x-3)/4

Make sure to note that the whole expression x-3 is divided by 4, not just one part of it.

So your new inverse equation is:

f^-1(x) = (x-3)/4

**Answer:**

**y = (1/4)(x - 3) is the desired inverse function of f(x) = 4x + 3.**

**Step-by-step explanation:**

Here we're finding the 'inverse function' of the given f(x) = 4x + 3. Follow these steps:

1. Replace the label f(x) with y: y = 4x + 3

2. Interchange x and y: x = 4y + 3

3. Solve this new equation for y: 4y = x - 3, or **y = (1/4)(x - 3**

Which of the following is most likely the next step in the series?

It would be B because each shape is losing one point

About what percentage of the data lies within 2 standard deviations of the mean in a normal distribution? 47. 5% 68% 95% 99. 7%.

The **percentage **of data that lies within **2 standard deviations **of the **mean **in a **normal distribution **is 95%.

A **normal distribution** is a probability distribution that is symmetric around the mean of the distribution. This means that the there are more data around the mean than data far from the mean. A** normal distribution **is also known as the Gaussian distribution. When depicted on a graph, **a normal distribution **is bell-shaped.

For a **normal distribution: **

Please find attached an image of a **normal distribution. **A similar question was answered here: https://brainly.com/question/17101164

Answer:

I believe it is 95%

Step-by-step explanation:

write an equation in slope intercept form of the line that passes through the given points -4,9 -2,4 0,-1 2,-6￼ PLS HELP ILL GIVE BRAINLY TO WHOEVER IS RIGHT

**Answer:**

y=-2/5X-12

**Step-by-step explanation:**

M=x2-x1/y2-y1

= -2-(-4)/4-9

= 2/-5

C was given when u received the point (0, -12)

so C is -12

**Answer:**

*y = -5/2x - 1 *

**Step-by-step explanation:**

First, we will figure out the slope. We will use the points (0, -1) and (2, -6). To do this, we look at the y values, -1 and -6, and we look at their rate of change. To get to -6 from -1 we subtract 5, or add -5. Now look at x: 0 and 2. To get from 0 to 2, we add 2. Our slope is [tex]\frac{-5}{2}[/tex].

We can use the point (0, -1) because that's our y-intercept. Your y-intercept is the value of y when **x is equal to 0**. Now, we put our slope and y-intercept into the slope intercept equation:

**y = mx + b**: *where **b** is the y-intercept and **m** is the slope*

*y = -5/2x - 1 **is your answer*

Hope this helps! :D

Find the LCM of 14 and 18 using prime factorizations.

**Answer:**

126

**Step-by-step explanation:**

help please I don't know what the answer could be

pretty sure it’s c but i don’t know

Solve the set of simultaneous equations graphically. Use a scale of 1cm = 1 unit on both axes.

y=4+x

y=1+3x ; 0≤x≤6

y=4+xy=3x+1

Graphs attached

(x,y)=(1.5,5.5)Solve for percent change: On Monday, Cynthia raised $75 for her charity.

On Tuesday, Cynthia raised $95 for her charity. What is the approximate

percent change? *

Let p = percent change

p = (new amount)/(original amount) • 100

p = (95 - 75)/75 • 100

p = 20/75 • 100

p = 26.666667

p = 26.6%

Done.

When solving an equation, Anne's first step is shown below. Which property justifies Anne's first step?

Original Equation

3x - 1 = 3

First Step 3x = 4

**Answer:**

no property

**Step-by-step explanation:**

Name the property used: no property

=

If f(x) = 3x – 2 and g(x) = x+2,

find f(g(x)).

3

f(g(x)) = [?]

Simplify your answer as much as possible.

**Answer:**

3x+4

**Step-by-step explanation:**

f(g(x))=3(x+2)-2

=3x+6-2

=3x+4

**Answer:**

**Step-by-step explanation:**

f(x) = 3x - 2 When you see something like f(g(x)) it means that wherever you see an x on the right, you put g(x).

f(g(x)) = 3(g(x)) - 2 Now wherever you see g(x) on the right, you put in x + 2

f(g(x)) = 3(x + 2) - 2 Now remove the brackets

f(g(x)) = 3x + 6 - 2

f(g(x)) = 3x + 4

I'm not sure what the 3 in line 4 means. 3x + 4 seems to be the answer you want however.

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