12. Martina rents a room in her home to guests. She charges a $25 flat fee per night for one person. Additional guests are welcome to stay, but she charges $10 per person. She expects guests to check out by 10 a.m. and charges an extra $5 per hour for late checkouts. Select the linear equation that correctly represents how much Martina collects for one night of stay in her home.
A) c = 25 + 10p + 5h
B) c = 25 – 10p – 5h
C) c + 25 = 10p + 5h
D) c = 25 + 10 + 5

Answer:

1/4

Step-by-step explanation:

1/4 on my calculator

The value of log 5 to the base 625 is 1/4 .

From the definition of logarithm , we know that if log a to the base b is equal to x , where a, b are non negative integer and x is an assumed positive integer then we have ,

∴ log a to the base b = x

⇒ [tex]a = b^{x}[/tex]

Thus we can take log 5 to the base 625 = x

∴ [tex]5 = 625^{x}[/tex]

From the above equation, we can get the value of x as 1/4

Thus the value of log 5 to the base 625 is 1/4

To learn more about properties of logarithm, refer -

https://brainly.com/question/12049968

#SPJ2

Answer:

7/20

Step-by-step explanation:

#red cards/total # of cards

7/(7+13)

7/20

Answer:

7/20

Step-by-step explanation:

Answer:

6 Fancy shirts

Step-by-step explanation:

Answer:

21.7

Step-by-step explanation:

you add all along the shape and it adds up to 21 and 21.7 is the only answer that has 21 in it

hope this helps.

Answer:

-1 -60p

hope it helps

Step-by-step explanation:

6 (1-10p) -7

First solve 6(1-10p) using distributive property of subtraction

(6*1)-(6*10p) -7

= 6-60p -7

Add the constants of the equation

= (6-7) -60p

= -1 - 60p

Answer:

-60p-1

Step-by-step explanation:

Well in simplyfying it we can determine that 6*1 is 6 and 6*-10p is -60p

So then the answer is -60p-1.

Answer:

The area of a parallelogram is 360 in.²

Step-by-step explanation:

Where DG = GH

GP = 12 in.

AB = 39 in.

∠DAB + ∠ABC = 180° (Adjacent angles of a parallelogram)

Whereby ∠DAB is bisected by AG and ∠ABC is bisected by BH

Therefore, ∠GAB + ∠HBA = 90°

Hence, ∠BPA = 90° (Sum of interior angles of a triangle)

[tex]cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{AP}{39} = \dfrac{GP}{GH} =\dfrac{12}{GH}[/tex]

We note that ∠AGD = ∠GAB (Alternate angles of parallel lines)

∴ ∠AGD = ∠AGD since ∠AGD = ∠GAB (Bisected angle)

Hence AD = DG (Side length of isosceles triangle)

The bisector of ∠ADG is parallel to BH and will bisect AG at point Q

Hence ΔDAQ  ≅ ΔDGQ ≅ ΔGPH and AQ = QG = GP

Hence, AP = 3 × GP = 3 × 12 = 36

[tex]cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{36}{39}[/tex]

[tex]\angle GAB = cos^{-1} \left (\dfrac{36}{39} \right )[/tex]

∠GAB = 22.62°

[tex]cos(\angle GAB) = \dfrac{36}{39} = \dfrac{12}{GH}[/tex]

[tex]GH = \dfrac{39}{36} \times {12}[/tex]

GH = 13 in.

∴ AD 13 in.

BP = 39 × sin(22.62°) = 15 in.

GH = √(GP² + HP²)

∠DAB = 2 × 22.62° = 45.24°

The height of the parallelogram = AD × sin(∠DAB) =  13 × sin(45.24°)

The height of the parallelogram = 120/13 =  9.23 in.

The area of a parallelogram = Base × Height = (120/13) × 39 = 360 in.²

Answer:

360 in2

Step-by-step explanation:

The figure ABCD is a parallelogram, so the side AB is parallel to the side DC, and that means the angle mBAG is equal the angle mHGP.

The angles mHGP and mAGD are vertically opposite angles, so mHGP = mAGD.

The angle mDAG is equal the angle mBAG, so mDAG = mBAG = mHGP = mAGD

The angles mDAG and mAGD are equal, so the triangle DAG is isosceles, that means the side DG is equal the side DA.

In the same way, we can find that the angle mCBH is equal the angle mBHC, so triangle BCH is isosceles, meaning that side BC (which is equal side AD) is equal side CH, so we have that:

DG + GH + HC = AB = 39

GH + GH + GH = 39

GH = 13

in the parallelogram we have the property:

mDAB + mABC = 180°

We have that mGAB = mDAB/2 and mABH = mABC/2, so using this information for the sum of internal angles of triangle APB, we have:

mGAB + mABH + mBPA = 180

mDAB/2 + mABC/2 + mBPA = 180

(180/2) + mBPA = 180

mBPA = 90°

If the triangle APB is a right triangle, we can find the cosine of the angle mHGP:

cos(mHGP) = GP / GH = 12 / 13

Then, we can find the sine of mHGP using:

sin(mHGP)^2 + cos(mHGP)^2 = 1

sin(mHGP)^2 + 144/169 = 1

sin(mHGP)^2 = 25/169

sin(mHGP) = 5/13

If we draw the height of the triangle GPH relative to the side GH, we have:

sin(mHGP) = height / GP

5 / 13 = height / 12

height = 60/13

The triangles GPH and APB are similar (using the case angle-angle), so we can use this relation to find the height 'h2' of the triangle APB:

height / (h2+height) = GH / AB

(60/13) / (h2 + (60/13)) = 13/39 = 1/3

180 / 13 = h2 + (60/13)

h2 = 120/13

Then the area of the parallelogram is:

Area = AB * h2 = 39 * 120/13 = 360 in2

Answer:

The answer is -2.

Step-by-step explanation:

Answer:

-2 :D

Step-by-step explanation:

Just did the test:)

Answer:

B. 3(2^x)

Step-by-step explanation:

3(2^x) is the only function that yielded the given outputs when the inputs were plugged in.

Answer:

16.50 dollars

Step-by-step explanation:

We can use proportion

8 euros --- 11 dollars

12 euros --- x dollars

x = 12 * 11/8 = 16.5= 16.50 dollars

Answer:

16.5 dollars

Step-by-step explanation:

Let's make a proportion using the following setup.

dollars/euros=dollars/euros

Tommy can get 11 dollars for 8 euros.  We don't know how many dollars he can get with 12 euros. Therefore, we can say that he can get x dollars with 12 euros.

11 dollars/8 euros=x dollars/12 euros

11/8=x/12

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being divided by 12. The opposite of division is multiplication. Multiply both sides by 12.

12*(11/8)=(x/12)*12

12*11/8=x

12*1.375=x

16.5=x

Tommy can get $16.50 with 12 euros.

Answer:

c 81

Step-by-step explanation:

Answer:

Step-by-step explanation:B

Answer:

If I'm guessing, you're supposed to write an equation. So the answer would be yx + 12y.

Step-by-step explanation:

Answer:

the answer is y(12-x)

Step-by-step explanation:

i took the text and it said i got it right hope i helped have a great day/night and so soorry if i get it wrong byee

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

Work Shown:

Plug in n = 1 to find the next term

f(n+1) = f(n) - 2

f(1+1) = f(1) - 2 ... replace every n with 1

f(2) = f(1) - 2

f(2) = 18-2 .... replace f(1) with 18

f(2) = 16

We'll use this to get the next term. Plug in n = 2

f(n+1) = f(n) - 2

f(2+1) = f(2) - 2 ... replace every n with 2

f(3) = f(2) - 2

f(3) = 16 - 2 ... replace f(2) with 16

f(3) = 14

This process keeps going until we reach f(5)

Plug in n = 3

f(n+1) = f(n) - 2

f(3+1) = f(3) - 2

f(4) = f(3) - 2

f(4) = 14-2

f(4) = 12

and finally plug in n = 4

f(n+1) = f(n) - 2

f(4+1) = f(4) - 2

f(5) = f(4) - 2

f(5) = 12 - 2

f(5) = 10

The summary is basically we subtract 2 from each term to get the next term. The sequence is 18, 16, 14, 12, 10 which is arithmetic.

Answer:

The length of the radius is 3cm.

Step-by-step explanation:

Given that a circle is inscribed in a square. The side of the circle touches the side of the square which is the diameter. So the diameter of circle is 6cm, in order to find it's radius, you have to duvide it by 2 :

[tex]radius = diameter \div 2[/tex]

[tex]radius = 6 \div 2[/tex]

[tex]radius = 3cm[/tex]

Answer:

[tex]6^{2} - 3^{2} \pi[/tex] = area of the black  7.725666

[tex]x^{2} - r^{2} \pi[/tex]

area of square - area of circle

the diameter of the circle is 6 and half that is the radius = 3

Answer:

y=(1/9)x+4

Step-by-step explanation:

x=3b

b=(1/3)x

y=2/6(1/3)x+4

y=(2/18)x+4

y=(1/9)x+4

Answer:

y = 1/(x+2)

Step-by-step explanation:

x=3b and y= 2/(6b+4)

Rewriting the second equation by factoring out 2

y=2/ 2(3b+2)

We know that 3b = x

y=2/ 2(x+2)

Canceling the 2 in the numerator and denominator

y = 1/(x+2)

Answer:

Line r has a gradient of -1/2

Step-by-step explanation:

Perpendicular lines have a gradient of negative reciprocal to each other such that multiplying both the slopes give -1

=> Gradient of this line = 2

=> Gradient of line perpendicular to it = [tex]\frac{-1}{2}[/tex]

Multiplying both gradients:

=> 2 * [tex]\frac{-1}{2}[/tex]

=> -1

(SO They are perpendicular!)

Answer:

D. x - y = 3 and x - 3 y = - 9

Step-by-step explanation:

The descriptions above describe the equation of choice D, so I pick this answer.

Answer:

D

Step-by-step explanation:

just took the test

Answer:

$22.95/hour.

Step-by-step explanation:

It is given that the average wage for an electrician in CA is $25.47/hour. That is 11% above the national average.

Let as consider x be the national average.

11% above the national average is

[tex]x+\dfrac{11}{100}x=x+0.11x=1.11x[/tex]

The average wage for an electrician in CA is 11% above the national average. So,

[tex]1.11x=25.47[/tex]

Divide both sides by 1.11.

[tex]x=\dfrac{25.47}{1.11}[/tex]

[tex]x=22.945945...[/tex]

[tex]x=22.95[/tex]

Therefore, the national average is $22.95/hour.

Answer: 22.95

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here { a, b ] = [ - 1, 2 ], thus

f(b) = 4 ← from (2, 4 )

f(a) = [tex]\frac{1}{2}[/tex] ← from (- 1, [tex]\frac{1}{2}[/tex] ) , thus

average rate of change = [tex]\frac{4-\frac{1}{2} }{2-(-1)}[/tex] = [tex]\frac{\frac{7}{2} }{3}[/tex] = [tex]\frac{7}{6}[/tex] → D

Answer:

y=7/10+3/10

Step-by-step explanation:

Answer:

Solution,

[tex]f(x) = 5 - x \\ f( - 4) = 5 - ( - 4) \\ \: \: \: \: \: \: \: \: \: \: \: = 5 + 4 \\ \: \: \: \: \: \: \: \: \: = 9[/tex]

hope this helps....

Good luck on your assignment...

Answer:

I don't know the answer, but I just took a test and the answers ARE NOT 456.3 and ARE ALSO NOT 474.6

Step-by-step explanation:

The distance between the two lakes = 633.9 ft. So, we take the 4th option.

By the law of cosines, a triangle with sides a, b, and c, and the angle opposite to c being γ,

c = √(a² + b² - 2.a.b.cos γ)

To solve the question, we will use the law of cosines.

Let a = 560 ft., b = 350 ft., c = d (unknown distance).

γ = 160° - 75° = 85°.

We substitute the values in the formula to get,

d = √(560² + 350² - 2(560)(350)(cos 85°)

or, d = √(313600 + 122500 - 392000*0.0871)

or, d = √(436100 - 34165.05116)

or, d = √401934.948842

or, d = 633.983397

So, we take d = 633.9 ft., the 4th option.

∴ The distance between the two lakes = 633.9 ft.

Learn more about the law of cosines at

https://brainly.com/question/3897392

#SPJ2

Answer:

See the explanation

Step-by-step explanation:

The given function is:

f(x) = 5ˣ

Transformation of a parent function is given by the formula:

g(x) = k · f(x + a) + b

Where

k represents vertical compression if |k| < 1 and k represents vertical stretch of |k| > 1

f(x) shifts left by a units if a>0 and f(x) shift right by a units if a<0

f(x) shift up by b units if b>0 and f(x) shifts down by b units if b<0

In the question it is given:

k = 1/2

Shifts right by 3 units ⇒ a = -3

Shift up by 2 units ⇒ b = 2

Substitute in the formula:

g(x) = (1/2) · f(x - 3) + 2

[tex]g(x) = \frac{1}{2}\cdot5^{x-3}+2[/tex]

Answer:

A

Step-by-step explanation:

maybe i am sure don't depend on me

Answer:

y-6= -2(x+2)  

Step-by-step explanation:

A= (-2, 6)

B= (2, -2)

y= mx+b

slope:

intercept:

the function is:

y-2=2(x+2) ⇒ y= 2x+6 - no

y-6= -2(x+2) ⇒ y= -2x +2 - yes

y-2= -2(x+6) ⇒ y= -2x - 10- no

y-2= -2(x+2) ⇒ y= -2x- 2 - no

Answer:

The height of the ramp is 1.39 m.

Step-by-step explanation:

We have,

A wheelchair ramp is 8.0 m long

The angle of inclination is 10°

It is required to find the rise of  the ramp.

Here, hypotenuse is 8 m and angle of inclination is 10°.

Using trigonometry to find it.

[tex]\sin\theta=\dfrac{x}{8}[/tex]

x is rise of the ramp

[tex]x=\sin(8)\times 10\\\\x=1.39\ m[/tex]

So, the height of the ramp is 1.39 m.

Answer:

Wetlands prevent flooding by temporarily storing and slowly releasing stormwater.

Step-by-step explanation:

Wetlands also reduce water flow, thus allowing sediments and associated pollutants to settle out. A marshland can prevent flooding in a nearby town bye temporarily storing water!

Answer:

$26.300

Step-by-step explanation:

well if its 5 or more u round to the next whole number but if its 5 or under you just round whatever ur rounding into the same number but whole

Answer:

the answer to the following questions is 10870.46873