Rozalie spent $26.75 at a parking garage in downtown Orlando. The garage charged a base fee of $7.50 for the first hour, and an hourly rate of $2.75 for each additional hour. The following sign is displayed to show the prices for the first 4 hours.

Answer:

[tex] x = 5 [/tex]

Step-by-step explanation:

Given that segment EJ bisects angle DEF, it implies that angle DEF is divided into two equal angles, namely, angle DEJ = 5x + 7, and angle JEF = 8x - 8.

To find the value of x, let's derive an equation by setting m<DEJ equal to m<JEF, since both are equal parts of angle DEF bisected by segment EJ.

Thus:

[tex] 5x + 7 = 8x - 8 [/tex]

Solve for x

[tex] 5x + 7 - 8x = 8x - 8 - 8x [/tex] (subtracting 8x from both sides)

[tex] -3x + 7 = - 8 [/tex]

[tex] -3x + 7 - 7 = - 8 - 7 [/tex] (Subtracting 7 from both sides)

[tex] -3x = -15 [/tex]

[tex] \frac{-3x}{-3} = \frac{-15}{-3} [/tex] (dividing both sides by -3)

[tex] x = 5 [/tex]

Answer:

-24p -8

Step-by-step explanation:

4(–6p − 2)

Distribute

4 * -6p -4*2

-24p -8

Answer:

181 MP3 players

Step-by-step explanation:

Given data:

Replacement of MP3 that fail within 3 years

expected lifetime of MP3 = 5 years

number of MP3 players purchased = 1000

number of MP3 players replaced in the first year = ?

To determine the number of MP3 replaced in the first year we will employ this formula:

[tex]E(To) = \frac{1}{u} = e_{x} ^{0} =\int\limits^a_0 {po} \, dt[/tex]

a = ∞

since the given problem is an exponential distribution

1/u = 5 hence u = 0.2

next we will determine the number of MP3's to fail in its first year of purchase

qo = failure

po = success

number of purchase = 1000

attached below is the remaining part of the solution

Answer:

A current of 5 amperes will produce the maximum power.

Step-by-step explanation:

Let be [tex]p(x) = -12\cdot x^{2}+120\cdot x[/tex], where [tex]p(x)[/tex] is measured in watts and [tex]x[/tex] in amperes. At first we must obtain the first and second derivatives of the function to determine the current associated with maximum power. That is:

First derivative

[tex]p'(x) = -24\cdot x + 120[/tex]

Second derivative

[tex]p''(x) = -24\cdot x[/tex]

Now, we equalize the first derivative to zero and solve it afterwards: (First Derivative Test)

[tex]-24\cdot x + 120 = 0[/tex]

[tex]x = 5\,A[/tex]

The only critical point is [tex]x = 5\,A[/tex].

As next step we need to assure that critical point leads to an absolute maximum by evaluating the critical point found above in the second derivative: (Second Derivative Test)

[tex]p(5)'' = -24\cdot (5)[/tex]

[tex]p''(5) = -120[/tex]

Which indicates that critical point leads to an absolute maximum.

A current of 5 amperes will produce the maximum power.

Answer: 5

Step-by-step explanation:

khan

Answer:

4,87×10⁴ thats the answer:)

Answer:

[tex]10^{4} x 4.87[/tex]

Step-by-step explanation:

Answer:

A- Strong Positive

Step-by-step explanation:

hopes this helps

Answer:

strong positive

Step-by-step explanation:

Answer:

3:11

Step-by-step explanation:

3x=11y

Rearrange to the format of the ratio.

11y = 3x

Let's find y/x. y/x is y:x.

11y = 3x

Divide both sides by 11.

11y/11 = 3x/11

y = 3x/11

NOW LET'S DIVIDE BOTH SIDES BY x TO GET x AS THE DENOMINATOR OF y.

y = 3x/11

y/x = (3x/11)/x

y/x = (3x/11) * 1/x

y/x = 3/11

Therefore, y:x = 3:11

Please thank, rate 5 stars, and give brainliest. Thank you.

Answer:

0.29b =

Step-by-step explanation:

each banana costs .29 $ so if you replace b with any number, you would have the cost the certain quantity of bananas

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{(3m - 4)(9 {m}^{2} + 12m + 16)}}}}[/tex]

Step-by-step explanation:

[tex] \sf{27 {m}^{3} - 64}[/tex]

[tex] \dashrightarrow{ \sf{( {3m)}^{3} - {(4)}^{3} }}[/tex]

Use the formula of a³ - b³ = ( a - b) ( a² + ab + b² )

[tex] \longrightarrow{ \sf{(3m - 4)(3 {m}^{2} + 3m \times 4 + {4}^{2} }})[/tex]

[tex] \longrightarrow{ \sf{(3m - 4)( {9m}^{2} + 12m + 16}})[/tex]

Hope I helped!

Best regards! :D

Answer:

x=3/4

Step-by-step explanation:

1. subtract 1 on each side

2. add 3 on each side

3. divde by 4 on each side

The solution to the given equation is 3/4.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 4x-3+1=1.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, 4x-3+1=1

4x-3=0

4x=3

x=3/4

Therefore, the solution is 3/4.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer:

I'm not sure what answer you want from this but it would take her 20 days to use the entire gift card

Answer:

so she spend $5 for 20 days

Step-by-step explanation:

hope it is helpfull.

please mark me as a brainlist...

the answer is 53 because when you multiply a decimal by 10 all you need to do is move the decimal to the right

Answer:

9880

Step-by-step explanation:

because u have to use the last number and round it up to the closes while number then add ur Decimal

Answer:

(7, 3)

Step-by-step explanation:

Given segment AB, where:

Mid point

As per mid point formula:

So, the point B is:

Answer: The bottom left option.

Step-by-step explanation:

←XY→ is the line that connects the points X and Y.

The fact that the planes C and D intersect at this linea, means that all the points where the planes are intersecting are points in the given line.

Then the correct option is the bottom left one, because the planes D and C are intersecting in a line, and the line passes through the points X and Y, so that line is called ←XY→.

Answer:

212

Step-by-step explanation:

20(5)+12

200+12

212

Answer:

24.

Step-by-step explanation:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24

4 , 8 , 12, 16, 20, 24

6, 12, 18, 24

8, 16, 24

Looking at the multiples of these numbers, we choose the multiple they all have in common. I usually do this for the two biggest numbers, (8 and 6;) and check my work with the others. If you would like more examples from me or need extra help, feel free to ask! I am on Brainly replying to questions and comments from 1 pm - 2 pm EST. Hope this helped!

Answer:

10

Step-by-step explanation:

Subtract the two distances

-10 - -20

-10 +20

10

The distance is 10

Answer:

1/9

Step-by-step explanation:

the slope is m in y=mx+b

hope this helps!

Answer:

The probability that this accountant has an MBA degree or at least five years of professional experience, but not both is 0.3

Step-by-step explanation:

From the given study,

Let A be the event that the accountant has an MBA degree

Let B be the event that the accountant has at least 5 years of professional experience.

P(A) = 0.35

[tex]P(A)^C[/tex] = 1 - P(A)

[tex]P(A)^C[/tex] = 1 - 0.35

[tex]P(A)^C[/tex] = 0.65

[tex]P(B)^C[/tex] = 0.45

P(B) = 1 - [tex]P(B)^C[/tex]

P(B) = 1 - 0.45

P(B) = 0.55

P(A ∩ B ) = 0.75 [tex]P(A^C \ \cap \ B^C)[/tex]

P(A ∩ B ) = 0.75 [ 1 - P(A ∪ B) ]  because  [tex]P(A^C \ \cap \ B^C)[/tex]  = [tex]P(A \cup B)^C[/tex]

SO;

P(A ∩ B ) = 0.75 [ 1 - P(A) - P(B) + P(A ∩ B) ]

P(A ∩ B ) = 0.75 [ 1 - 0.35 - 0.55 + P(A ∩ B) ]

P(A ∩ B ) - 0.75  P(A ∩ B) = 0.75 [1 - 0.35 -0.55 ]

0.25  P(A ∩ B) = 0.075

P(A ∩ B) = [tex]\dfrac{0.075}{0.25}[/tex]

P(A ∩ B) = 0.3

The probability that this accountant has an MBA degree or at least five years of professional experience, but not both is: P(A ∪ B ) - P(A ∩ B)

= P(A) + P(B) - 2P( A ∩ B)

= (0.35 + 0.55) - 2(0.3)

= 0.9 - 0.6

= 0.3

∴

The probability that this accountant has an MBA degree or at least five years of professional experience, but not both is 0.3

Answer:

We know that Jennifer ran 10k last weekend.

Now, we have the function:

t = f(k) = 7*k

(notice that this is a linear function)

First, let's define what is the range.

The range is the possible values that the outcome, t, can take.

To see the range, we first must see the domain (the possible values of of the input)

In this case, we know that the minimum value of k is 0 (the time to run 0 kilometers)

t(0) = 7*0 = 0

Here we found the minimum of the range.

Now, the maximum value in the domain is 10 (because she ran 10km, we can not have a value of k larger than 10)

The time is:

t(10) = 7*10 = 70

This will be the maximum of the range.

Then the range can be written as:

R = [0, 70]

Answer:

30cm

Step-by-step explanation:

5+5+12+8

Answer:

477,900

Step-by-step explanation:

Answer:

Gemma gets 3 biscuits

Zak gets 18 biscuits

Step-by-step explanation:

1:6 = 1+6

= 7

1/7 * 21 = 3

6/7 * 21 = 18

Step-by-step explanation:

x+6x=21

7x=21

x=3

6x=3×6= 18

Gemma gets 3 and Zak got 18

Answer:

Our equation for the height is:

y(t) = 275 - 16*t^2.

a) To find the average velocity between two times, t1 and t2, (where t2 > t1) the equation is:

[tex]AV = \frac{y(t2) - y(t1)}{t2 - t1}[/tex]

Then:

i) t1 = 4s, t2 = 4s + 0.1s = 4.1s

The average velocity is:

[tex]AV = \frac{(275 - 16*4.1^2) - (275 - 16*4^2)}{4.1 - 4} = \frac{16(4^2 - 4.1^2)}{0.1} = -129.6[/tex]

And the units will be ft/s, so the average speed is:

-129.6 ft/s

The minus sign is because te pebble is falling down.

ii)  t1 = 4s, t2 = 4s + 0.05s = 4.05s

The average velocity is:

[tex]AV = \frac{(275 - 16*4.05^2) - (275 - 16*4^2)}{4.05 - 4} = \frac{16(4^2 - 4.05^2)}{0.05} = -128.8[/tex]

So the average speed is -128.9 ft/s

iii)  t1 = 4s, t2 = 4s + 0.01s = 4.01s

The average speed is:

[tex]AV = \frac{(275 - 16*4.01^2) - (275 - 16*4^2)}{4.01 - 4} = \frac{16(4^2 - 4.01^2)}{0.01} = -128.16[/tex]

The average speed is -128.16 ft/s.

b) The instantaneous velocity of the pebble after 4 seconds can be obtained by looking at the velocity equation, that is the derivative of the height equation.

v(t) = dy(t)/dt.

v(t) = -2*16*t + 0

Then the velocity at t = 4s is:

v(4s) = -32*4 = -128

The instantaneous velocity at t = 4s is -128 ft/s.

a). The average velocity of the pebble for the time period would be:

i). [tex]-129.6[/tex]

ii). [tex]-128.8[/tex]

iii). [tex]-128.16[/tex]

b). The instantaneous velocity of the pebble post 4 seconds would be:

[tex]-128[/tex]

a). We need to find the average velocity,

i). [tex]t1 = 4s, t2 = 4s + 0.1s = 4.1s[/tex]

Using [tex]y(t_{2}) - (t_{1})/(t_{2}) - (t_{1})[/tex]

by putting the values,

[tex]= y(4.1) - y(4) / 4.1 - 4[/tex]

[tex]= 275 - 16(4.1)^2 - 275 - 16(4)^2 / 0.1[/tex]

[tex]= 275 - 16*16.81 - 275 - 16(16) / 0.1[/tex]

[tex]= 6.04 - 19 / 0.1[/tex]

[tex]= -12.96 /0.1[/tex]

[tex]= -129.6[/tex]

ii).  Now,

[tex]t_{2} = (4 + 0.05 = 4.05s)[/tex]

Using [tex]y(t_{2}) - (t_{1})/(t_{2}) - (t_{1})[/tex]

[tex]= y(4.05) - y(4) / 4.05 - 4[/tex]

 [tex]= -6.4 / 0.05[/tex]

[tex]= -128.8[/tex]

iii). Now,

[tex]t_{2} = 4.01s[/tex]

Using [tex]y(t_{2}) - (t_{1})/(t_{2}) - (t_{1})[/tex]

[tex]= y(4.01) - y(4) / 4.01 - 4[/tex]

 [tex]= -1.28 / 0.01[/tex]

[tex]= -128.16[/tex]

b). Instantaneous velocity

[tex]y = 275 - 16t^2[/tex]

[tex]dy/dx = -32t[/tex]

Considering [tex]t = 4[/tex]

∵ Instantaneous velocity post 4 seconds [tex]= -32(4)[/tex]

[tex]= -128[/tex]

Learn more about "Velocity" here:

brainly.com/question/18084516

Answer:

13 units

Step-by-step explanation:

-1 + (-8) = -9

|-9| = 9 + 4 = 13

(-9) is 13 units from 4

Hopefully this helps you :)

pls mark brainlest ;)

Answer:

35

Step-by-step explanation:

I got my answer by multiplying the sea level he descended to the number of time he descended.

Answer:

YES

Step-by-step explanation:

PLEASE MARK AS BRAINLIST ANSWER

Answer: 2*2*11*11

Step-by-step explanation:

484 = 2 times 242 = 2 times 2 times 121 = 2 times 2 times 11 times 11.

"*" = mean multiply/times.

2*2*11*11

2*2*11*11

HOPE THIS HELPED!

Answer:

The probability of them being in the right order would be a fraction of 1/7