A taxicab charges $1.85 for the first quarter-mile and then $0.25 for every quarter mile after the first. The cost for a 17.5 mile trip is

Answer:

28

Step-by-step explanation:

you do

252 divided by 9 and you get 28 as an answer

28 CADA AULA

Step-by-step explanation:DIVIDES 252 ENTRE 9

Answer:

Try typing into a scientofic calculator I reccomed the site desmos

Step-by-step explanation:

Answer:

12a + 8b

Step-by-step explanation:

There isn't An outcome due to the fact that it needs more to be worked out, but that's the simplified form, I believe that's what they wanted to know.

Hope It Helps!

Answer:

the answer is a I just took the test and its right

Step-by-step explanation:

Answer:

[tex]\displaystyle \lim_{x\to 1^+}(x-1)^\ln(x)}=1[/tex]

Step-by-step explanation:

We are given:

[tex]\displaystyle \lim_{x\to 1^+}(x-1)^\ln(x)[/tex]

And we want to evaluate it using L'Hopital's Rule.

First, using direct substitution, we will acquire:

[tex]=(1-1)^\ln(1)}=0^0[/tex]

Which is indeterminate.

In order to apply L'Hopital's Rule, we first need to manipulate the expression. We will let:

[tex]y=(x-1)^\ln(x)[/tex]

By taking the natural log of both sides:

[tex]\ln(y)=\ln(x)\ln(x-1)[/tex]

And by taking the limit as x approaches 1 from the right of both functions:

[tex]\displaystyle \lim_{x\to 1^+}\ln(y)=\lim_{x\to 1^+}\ln(x)\ln(x-1)[/tex]

Rewrite:

[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}\frac{\ln(x-1)}{\ln(x)^{-1}}[/tex]

Using direct substitution on the right will result in 0/0. Hence, we can now apply L'Hopital's Rule:

[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}\frac{1/(x-1)}{-\ln(x)^{-2}(1/x)}[/tex]

Simplify:

[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}\frac{1/(x-1)}{-\ln(x)^{-2}(1/x)}\Big(\frac{-x\ln(x)^2}{-x\ln(x)^2}\Big)[/tex]

Simplify:

[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}-\frac{x\ln(x)^2}{x-1}[/tex]

Now, by using direct substitution, we will acquire:

[tex]\displaystyle \Rightarrow -\frac{1\ln(1)^2}{1-1}=\frac{0}{0}[/tex]

Hence, we will apply L'Hopital's Rule once more. Utilize the product rule:

[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}-(\ln(x)^2+2x\ln(x))[/tex]

Finally, direct substitution yields:

[tex]\Rightarrow -(\ln(1)^2+2(1)\ln(1))=-(0+0)=0[/tex]

Thus:

[tex]\displaystyle \lim_{x\to 1^+}\ln(y)=0[/tex]

By the Composite Function Property for limits:

[tex]\displaystyle \lim_{x\to 1^+}\ln(y)=\ln( \lim_{x\to 1^+}y)=0[/tex]

Raising both sides to e produces:

[tex]\displaystyle e^{\ln \lim_{x\to 1^+}y}=e^0[/tex]

Therefore:

[tex]\displaystyle \lim_{x\to 1^+}y=1[/tex]

Substitution:

[tex]\displaystyle \lim_{x\to 1^+}(x-1)^\ln(x)}=1[/tex]

Answer:

simplest form

Step-by-step explanation:

Simplest form is a method of converting the fraction to its lowest multiple.

For example, the fraction 25/100 isn't in its simplest form

Both the numerator and the denominator can be divided by 5. When divided by 5 the fraction becomes 5/20.

5/20 is still not in its simplest form because it can be divided by 5. When divided by 5, the fraction becomes 1/4.

1/4 is now in its simplest form because both the numerator and denominator cannot be divided by any other number

Answer:

b=37

Step-by-step explanation:

if the angles are supplementary then they will add up to equal 180.

to find b you just subtract 143 from 180 to get 37

Answer:

The scale factor that transforms quadrilateral ABCD to quadrilateral A'B'C'D' is 3

Step-by-step explanation:

Quadrilateral ABCD has the following coordinates

A(1, 5), B(2, 6), C(3, 3) and D(1, 3)

The image A'B'C'D' has the following coordinates;

A'(-3, 1), B'(0, 4), C'(3, -5), D'(-3, -5)

The length of segment [tex]\overline {AB}[/tex] = √((2 - 1)² + (6 - 5)²) = √2

The length of segment [tex]\overline {BC}[/tex] = √((3 - 6)² + (3 - 2)²) = √10

The length of segment [tex]\overline {CD}[/tex] = √((1 - 3)² + (3 - 3)²) = 2

The length of segment [tex]\overline {DA}[/tex] = √((1 - 1)² + (3 - 5)²) = 2

For quadrilateral, we have;

A'(-3, 1), B'(0, 4), C'(3, -5), D'(-3, -5)

The length of segment [tex]\overline {A'B'}[/tex] =  √(0 - (-3))² + (4 - 1)²) = 3·√2

The length of segment [tex]\overline {B'C'}[/tex] = √((3 - 0)² + (-5 - 4)²) = 3·√10

The length of segment [tex]\overline {C'D'}[/tex] = √((-3) - 3)² + (-5 - (-5))²) = 6

The length of segment [tex]\overline {D'A'}[/tex] = √((-3) - (-3))² + ((-5) - 1)²) = 6

The scale factor that transforms quadrilateral ABCD to A'B'C'D' is given as follows;

[tex]The \, scale \, factor \, of \, transformation = \dfrac{\overline {A'B'}}{\overline {AB}} = \dfrac{\overline {B'C'}}{\overline {BC}} = \dfrac{\overline {C'D'}}{\overline {CD}} = \dfrac{\overline {D'A'}}{\overline {DA}} = 3[/tex]

Therefore, the scale factor that transforms quadrilateral ABCD to A'B'C'D' = 3

Answer:

40in long your welcome I hope /his helps

Answer:

x=10

Let's solve your equation step-by-step:

4x+40=80

Step 1: Subtract 40 from both sides

4x+40−40=80−40

4x=40

Step 2: Divide both sides by 4

4x/4=40/4

Answer:

x=10

Answer:

collect like terms

4x=80 - 40

4x= 40

divide both sides by 4

4x/4÷ 40/4

x = 10

Step-by-step explanation:

you're welcome

Answer:

4:6

Step-by-step explanation:

um there is no picture to count from so i will created a random one which was 4:6

Answer:

0.46%

Step-by-step explanation:

0.0046*100%= 0.46%

Answer:

4/125

Step-by-step explanation:

x = 3

Step-by-step explanation:

AB = CB

8x + 5 = 10x - 1

8x - 10x = -1 - 5

-2x = -6

x = 3

(Please heart and rate if you find it helpful, it's a motivation for me to help more people)

Answer:

I wrote out the answers on top of the sheet. Hope this helped!

Step-by-step explanation:

Answer:

h=4

Step-by-step explanation:

3/5+h=23/5

h= 23/5-3/5

h=(23-3)/5

h=20/5

h=4

Answer:

n<7

Step-by-step explanation:

hope i did okay for you

Answer:

7>n

Step-by-step explanation:

6-8n>-8-6n

Add 8n on both sides

6>-8+2n

Add 8 on both sides

14>2n

Divide

7>n

Answer: 10

Step-by-step explanation:

Question A:

The formula to find the hypotenuse is c²=a²+b²

So you would insert the numbers into the formula which would be c²=8²+6²

8²=64

6²=36

36+64=100

So c²=100

Then you want to find c on its own so you have to square root 100.

The square root of 100 is 10.

You have to use this method for the rest of the triangles.

The hypotenuse of the triangles are solved

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of sides of the triangle are

a)

a = 8

b = 6

Now , From the Pythagoras Theorem , The hypotenuse² = base² + height²

c = √ ( 8 )² + ( 6 )²

c = √100 ≈ 10

b)

a = 11

b = 7

c = √170 ≈ 13.0

c)

a = 13

b = 6

c = √205 ≈ 14.3

Hence , the hypotenuse of the triangles are solved

To learn more about triangles click :

https://brainly.com/question/16739377

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Answer:

y = -7/2x - 7

Step-by-step explanation:

let me know if you need the steps . . .

Answer:

-10.5n + 14

Step-by-step explanation:

The y-intercept of the exponent function is 4. Then the graph represents the equation y = 4(3)ˣ will be B.

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as

y = a(b)ˣ

The exponent equation is given below.

y = 4(3)ˣ

The value of the exponent function at x = 0 is calculated as,

y = 4(3)⁰

y = 4 × 1

y = 4

The y-intercept of the exponent function is 4. Then the graph represents the equation y = 4(3)ˣ will be B.

More about the exponent link is given below.

https://brainly.com/question/5497425

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Answer:

[tex] x = 75\degree [/tex]

Step-by-step explanation:

[tex] m\angle EFB +105\degree = 180\degree [/tex]

(linear pair angles)

[tex] m\angle EFB = 180\degree - 105\degree [/tex]

[tex] m\angle EFB = 75\degree [/tex]

[tex] \because x = m\angle EFB [/tex]

(corresponding angles)

[tex] \therefore x = 75\degree [/tex]

Answer:

Hot Dogs: 35

Soda: 52

Step-by-step explanation:

35 hot dogs + 52 sodas is 87 items.

35 x $1.50 = $52.50

52 x $0.50 = $26.00

$52.50 + $26.00 = $78.50

Answer:

29 books ; 5 bookshelfs

Step-by-step explanation:

Solving logically ;

Prime numbers between 21 and 30 = 23, 29

Hence, number of books Fernando has is either 23 or 29

Taking 4 away from the number of books, he'll be able to arrange same number of books on each of his book shelve;

From the statement, we can conclude that :

Subtracting 4 from the number of books Fernando has should give a perfect square

If 23 books

23 - 4 = 19 ; 19 isn't a perfect square

If 29 books :

29 - 4 = 25

Hence, to place the same Number of books on each shelf :

Sqrt(25) = 5

Hence, number of bookshelf = 5

Answer:

yes???

Step-by-step explanation:

your question either doesn't make sense or I just don't know

Answer:

|-10| is bigger than |3| because when taking the absolute value (the vertical line) of a number, you are counting how far away from 0 it is meaning that both 10 and -10 are 10 spaces away from 0. The negative doesn't matter.

Answer:

0.90 seconds

Step-by-step explanation:

We will see that one complete revolution takes (2π/7) seconds.

Here we have the function:

f(x) = 33sin(7x−π/12) + 33

The time needed to do a full revolution is given by the period of the function.

Remember that:

sin(x) = sin(x + 2π).

Then:

sin(7x−π/12) = sin(7*(x + T) −π/12)

Then we must have:

2π = 7*T

Where T is the period.

Solving for T, we have:

2π/7 = T

This means that one complete revolution takes (2π/7) seconds.

If you want to learn more about sine functions, you can read:

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Answer:

Greetings! I have your answer, as I have done the test, was in fact correct.

Step-by-step explanation:

Angela’s age is 4 years  more than twice Joe’s age:

2x + 4

Deshawn’s age is 3 years  more than half Joe’s age:

I/2 + 3

Bruce’s age is 4 years  more than half Joe’s age:

I/2 + 4

Callie’s age is 3 years  less than 4 times Joe’s age:

4x + 3

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

I hope this helps! ^^

Answer:

i got your answer

Step-by-step explanation:

Angela’s   2x + 4

Deshawn’s   I/2 + 3

Bruce’s    I/2 + 4

Callie’s 4x + 3