Rewrite the following expression using the properties of logarithms. log2z+2log2x+4log9y+12log9x−2log2y You must show all of your work to receive credit.

Answer:

A. 34 miles

Step-by-step explanation:

First, you want to subtract $3.50 from $60. Now you have $56.50. Now you want to divide that by $1.65, to see how many miles you can achieve with your price limit. So, now you have a grand total of 34.24. You round that, and you finally have your answer.

The answer to this problem is A. 34 miles

The number of miles that he can travel in the taxi cab will be 17 miles. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A cab driver charges a level pace of $3.50 in addition to an extra $1.65 per mile.

Let 'y' be the total amount and 'x' be the number of miles. Then we have

y = 3.50x + 1.65

If Mohammad wants to spend, at most $60. Then the number of miles is given as,

60 = 3.50x + 1.65

3.50x = 58.35

x = 16.67

x ≈ 17 miles

The number of miles that he can travel in the taxi cab will be 17 miles. Then the correct option is B.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer:

c

6 whole hours

Step-by-step explanation:

ASA  and AAS

We do not know if these are right triangles; therefore we cannot use HL to prove congruence.

We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.

We are given that EF is parallel to HJ.  This makes EJ a transversal.  This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent.  We also know that ∠EGF and ∠HGJ are vertical angles and are congruent.  This gives us two angles and a non-included side, which is the AAS congruence theorem.

Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent.  Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.

The congruence theorems that can be used to prove ΔEFG ≅ ΔJHG are; ASA and AAS

It is impossible to know if these are right triangles from the information given;

On this note, only one side of each triangle is marked congruent;

Hence, we are unable use SSS or SAS to affirm congruence.

Read more on congruence theorems:

https://brainly.com/question/2102943

Answer:

it is 540 degrees.

Step-by-step explanation:

Answer:

108°

Step-by-step explanation:

Sum of interior angle of any polygon = (n - 2 )*180

Here, n = number of sides

Sum of interior angle of regular pentagon = ( 5 - 2)*180 = 3*180 = 540°

In regular pentagon all the angles are congruent.

Interior angle of regular pentagon = 540/5

                                                         = 108°

Answer:

[tex]\sin C\approx0.85\\\\\cos C \approx0.52\\\\\tan C\approx1.63[/tex]

Step-by-step explanation:

According to the trigonometric ratios in aright triangle :

[tex]\sin x =\dfrac{\text{Side opposite to x}}{\text{Hypotenuse}}\\\\\cos x =\dfrac{\text{Side adjacent to x}}{\text{Hypotenuse}}\\\\\tan x=\dfrac{\sin x}{\cos x}[/tex]

Given:  ΔBCA ~ ΔSTR

Since , corresponding angles of two similar triangles are equal.

So, ∠C = ∠T                            ...(i)    [Middle letter]

In triangle STR

[tex]\sin T=\dfrac{\text{Side opposite to T}}{\text{Hypotenuse}}\\\\=\dfrac{26.4}{30.9}\approx0.85\\\\\cos x =\dfrac{\text{Side adjacent to T}}{\text{Hypotenuse}}\\\\=\dfrac{16.2}{30.9}\approx0.52\\\\\tan T=\dfrac{\sin T}{\cos T}\\\\=\dfrac{0.85}{0.52}\approx1.63[/tex]  ...(ii)

From (i) and (ii), we have

[tex]\sin C\approx0.85\\\\\cos C \approx0.52\\\\\tan C\approx1.63[/tex]

Answer:

26 is what I'm guessing

Answer:

[tex]f(x) = (\frac{1}{5})^{-x}[/tex]

Step-by-step explanation:

Given

The graph above

Required

Determine from the list of options, the function of the graph

To determine the function, we have to test each of the options

But first, we nees to write out the points on the graph

(1,5), (0,1), (-1,1/5) and (-2, 1/25)

A. [tex]f(x) = (\frac{1}{5})^x[/tex]

Point 1: When x = 1, f(x) = 5

[tex]f(x) = (\frac{1}{5})^x[/tex]

[tex]f(1) = (\frac{1}{5})^1[/tex]

[tex]f(1) = (\frac{1}{5})[/tex]

There's no need to check further as the first point doesn't lie on the graph

B.  [tex]f(x) = (\frac{1}{5})^{-x}[/tex]

Point 1: When x = 1, f(x) = 5

[tex]f(x) = (\frac{1}{5})^{-x}[/tex]

[tex]f(1) = (\frac{1}{5})^{-1}[/tex]

[tex]f(1) = 1/(\frac{1}{5})[/tex] --- Law of indices

[tex]f(1) = 1*(\frac{5}{1})[/tex]

[tex]f(1) = 1*5[/tex]

[tex]f(1) = 5[/tex]

Point 2: When x = 0, f(x) = 1

[tex]f(0) = (\frac{1}{5})^{-0}[/tex]

[tex]f(0) = (\frac{1}{5})^{0}[/tex]

[tex]f(0) = 1[/tex] --- The expression raise to power 0 is 1

Point 3: When x = -1, x = 1/5

[tex]f(x) = (\frac{1}{5})^{-x}[/tex]

[tex]f(-1) = (\frac{1}{5})^{-(-1)}[/tex]

[tex]f(-1) = (\frac{1}{5})^{1}[/tex] ----- Law of indices

[tex]f(-1) = (\frac{1}{5})[/tex]

Point 4: When x = -2, x = 1/25

[tex]f(x) = (\frac{1}{5})^{-x}[/tex]

[tex]f(-2) = (\frac{1}{5})^{-(-2)}[/tex]

[tex]f(-2) = (\frac{1}{5})^{2}[/tex] ----- Law of indices

[tex]f(-2) = \frac{1}{5} * \frac{1}{5}[/tex]

[tex]f(-2) = \frac{1}{25}[/tex]

There's no need to check other options as this function satisfy the 4 points on the graph;

Hence;

[tex]f(x) = (\frac{1}{5})^{-x}[/tex] is the exponential function represented on the graph

Answer:

1

Step-by-step explanation:

We pick two points on the line and use the slope formula

Two points ( 0,2) and ( 1,3)

m = ( y2-y1) / ( x2-x1)

    = ( 3-2) /( 1-0)

    =  1 /1

  = 1

Answer:

d. 1

Step-by-step explanation:

Well to find slope we'll use the following formula,

[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

We'll use the points (0,2) and (1,3),

y2 is 3 y1 is 2 3-2 = 1

1-0 = 1

Thus,

the answer is d. 1.

Hope this helps :)

Answer:

asDawas

Step-by-step explanation:

sadasda

Answer: -28, -17, 22.4, 27

hope this helps

This is the same as h(x) = x/4

In decimal form, it would be h(x) = 0.25x

=============================================

Explanation:

Inverses undo the original function. The original function tells us to take any input (x) and multiply by 4 to get the output y = f(x) = 4x

To get the inverse, we reverse the operation applied here. The opposite of multiplication is division. So we'll divide by 4 instead of multiply by 4. This is why the answer is x/4 or (1/4)x

-----------

Another approach is to do the following: Replace f(x) with y. Swap x and y. Solve for y

f(x) = 4x

y = 4x

x = 4y

4y = x

y = x/4

h(x) = x/4

We end up with the same result as before.

-----------

Extra info:

For any real number x, the following two equations are true

h( f(x) ) = x

f( h(x) ) = x

Answer:

2 Candy bars

6 Mints

7 Gum

Step-by-step explanation:

Candy bars=x

mints=3x

gum=3x+1

10(x)+3(3x)+6(3x+1)=80

10x+9x+18x+6=80

37x=80-6

37x=74

x=2

SO:

cand bars = x = 2

mints = 3x = 6

gum = 3x+1 = 7

Answer:

2 candy bars, 6 mints, and 7 packages of gumm

Step-by-step explanation:

Answer:

x = 0.36

Step-by-step explanation:

6x^2 +5x - 4 = 0

6x+5x-4 = 0÷2

11x = 0+4

x = 4÷11

Therefore, x = 0.36

Answer:

1/6

Step-by-step explanation:

Harry 1x1/2=1/2

Jacqueline 1/2x1/2=1/4

Stanley 1/3x1/4=1/12

1-1/2-1/4-1/12=

12/12-6/12-3/12-1/12=

2/12 or 1/6

Answer:

I dont quite understand the inequalities, I think it might be the way is shows up, bit the first graph represents x equals all numbers less than 6. The second graph is all numbers greater than 6. Third graph is all numbers less than 7. forth graph is all numbers greater than 7.

Step-by-step explanation:

If you want to give me a better representation of the inequalities, I would be more than happy to help you more!! :)

Hope this helps!!

Answer: x=1

Step-by-step explanation:

When solving for x you must isolate the terms. In order to isolate the terms divide both sides by 3 in order to break up the 3x. that way you should have 2x=x+1 from there i will subtract the x from both sides, so i receive x=1.

Answer:

The answer is C:2 and 23

Step-by-step explanation:

Answer:

U have told the answer in the ques. then why r u asking question.

U know the answer already...

Answer:

8, 11, 19, 1, 6, 18, 3

Step-by-step explanation:

8+11+19+1+6+18+3=66

Answer:

y= x^2 + 6

Step-by-step explanation:

y= x2 + 6 (which should be written as y= x^2 + 6) has the form y - k = a(x - h)^2.  For y= x^2 +  6, h = 0 and k  = 6.  Thus the vertex is (0, 6)

Answer:

I think it is 441

Step by step explanation:

To make a rectangle you need to pick any two of the vertical lines, and any two of the horizontal lines. So there would be 91 squares and 441 rectangles.

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x -----> time of the first process in minutes

y -----> time of the second process in minutes

we know that

The time of the first process multiplied by 4 (because is repeated 4 times) plus the time of the second process multiplied by 1 (because is repeated only once) must be less than or equal to 3 minutes

so

The inequality that represent this situation is

The solution of the inequality is the shaded area below the solid line

The equation of the solid line is

The y-intercept of the solid line is the point (0,3)

The x-intercept of the solid line is the point (0.75,0)

The slope of the solid line is negative m=-4

using a graphing tool

The solution is the shaded area

The graph in the attached figure

Remember that the time cannot be a negative number

Answer: The answer is the last graph so D

Step-by-step explanation: Pogchamp

Answer: AB ≅ DE

∠BAC≅∠DEF

Step-by-step explanation:

as AAS is a criterion where two angles and a side not included between the angles is congruent with the other triangle's two angles and the side not included between the angles.

Answer:

X<=5 and you would graph it with a closed dot on five and an arrow going left of it.

Step-by-step explanation:

Answer:

[tex]a<5\\\\a\in R[/tex]

Step-by-step explanation:

In several ways, for example, let:

[tex]a[/tex], an arbitrary constant, where:

[tex]a\in R[/tex]

Besides:

[tex]a< 5[/tex]

Because the number can be greater than five.

Therefore, the graph, would be all number over the interval:

[tex](-\infty, 5)[/tex]

As you can see, all numbers bellow the line [tex]y=5[/tex].

Answer:

12x^2+24x+12

Step-by-step explanation:

(3x+3) * (4x+4)

12x^2+24x+12

Answer:

( x+1)^7

Step-by-step explanation:

(x +1)^3 * (x+1)^4

Replace x+1 with m

m^3 * m^4

The bases are the same so we can add the exponents

m^ (3+4)

m^7

Replace m with x+1

( x+1)^7

Answer:

1. 5²

2. 6p⁵

3. y⁶

4. 1/5w²

5. n⁶/9p⁷

7. 12²

8. 2/5

Answer:

Mean

Step-by-step explanation:

The numbers have a very large range. So you should use the mean(or average) to get more accurate data.

Answer:

y = 1.5x.

Step-by-step explanation:

2 yellow (x)  3 red (y)   (3 /2 = 1.5)

3 yellow 4.5 red      (1.5)

4 yellow 6 red         (1.5)

6 yellow 9 red         (1.5)

So the equation is

y = 1.5x

Answer:

The diameter is 1.

Step-by-step explanation:

The circumference is 3.14 units

C = pi * d

Using 3.14 for pi

3.14 = 3.14 d

Divide each side by 3.14

3.14/3.14 = 3.14 d/ 3.14

1 =d

So basically what they're asking is that each of the angles of the triangle you're creating must be 30, 60, and 90 degrees. The term "leg" is generally the base so AB on your screen is probably a length. This'd help you with how big you should make the angles of the triangle.

Hope this helps!! <3

Answer:

50

Step-by-step explanation:

this is confusing and I'm a straight A student in highschool.I'm a junior to be exact

Answer:

the correct answer is that the students infinitely many parallelograms

Answer:

SA = 3.04m²

Step-by-step explanation:

SA = 2 x ( Length x Width + Width x Height + Length x Height )

SA = 2 x ( 0.4 x 1 + 0.4 x 0.8 + 1 x 0.8 )

SA = 2 x ( 0.4 + 0.32 +0.8)

SA = 2 x 1.52

SA = 3.04 m²

I wish this could help you !

Answer:

3.04 is the correct answer =)

Step-by-step explanation: