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olasank [31]
3 years ago
15

Latoya will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $49.98 and costs a

n additional $0.14 per mile driven.
The second plan has an initial fee of $41.98 and costs an additional $0.19 per mile driven. How many miles would Latoya need to drive for the two plans to cost
the same?
Mathematics
1 answer:
Rashid [163]3 years ago
5 0
Nolur acil lütfen yalvarırım
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2. Calculate the energy in joules of a photon whose frequency is 7.55×1014 Hz.
igomit [66]
The energy of a photon is given by
E = h × v

where:
E is the energy in joules/photon
'h' is the constant 6.63 × 10⁻³⁴
'v' is the frequency 7.55 × 10¹⁴

Substitute 'h' and 'v' into the formula we have

E = (6.63×10⁻³⁴) × (7.55×10¹⁴)
E = (6.63×7.55) × (10⁻³⁴ × 10¹⁴)
E = 50.0565 × 10⁽⁻³⁴⁺¹⁴⁾
E = 50 × 10⁻²⁰ joules/photon
8 0
3 years ago
There are two newborns, Gary and Eric. The future lifetime of Gary is uniformly distributed between 0 to 60 years. The future li
scoray [572]

Answer:

\text{The probability that Gary dies first = }\frac{1}{3}

Step-by-step explanation:

To find the required probability,

We can split the 40 years of Eric into very small pieces of time dt. Now, If Eric dies at time t and Gary dies before Eric, the probability is :

\frac{t}{60}\times \frac{dt}{40}=\frac{t\cdot dt}{2400}

Hence the probability that Gary dies first is  given by :

=\int_{0}^{40}\frac{t}{2400}dt \\\\= \frac{1}{3}

3 0
3 years ago
Kate has 787 pennies in her piggy bank. She earns 292 pennies by
ivolga24 [154]

the total number of pennies Kate's have can be known by adding all the pennies.

=787 + 292

=1079

the nearest round off of the pennies is 1000

3 0
3 years ago
Read 2 more answers
Plz save me I need help as sonic
Rzqust [24]

Answer:

1.Yes

2.Yes

3.No

4.No

5.Yes

Step-by-step explanation:

Just plug in the values of x and y for each set of coordinates.

Example from the first one

4x=y

4(5)=20

20=20 True

make sure all are valid by plugging in the next set of coordinates

4(6)=24

24=24 True

4(7)=28

28=28 True

and so forth with each equation plug in the coordinates

3 0
3 years ago
Read 2 more answers
The graph of the equation $x + 2y + 3 = 0$ is perpendicular to the graph of the equation $ax + 2y + 3 = 0$. What is the value of
insens350 [35]

Answer:

a = -4.

Step-by-step explanation:

If the are perpendicular then the slope of one graph will be - 1 / slope of the other.

Convert each equation to slope-intercept form:

x + 2y + 3 = 0

2y = = -x - 3

y = (-1/2)x - 3/2 (Slope/intercept form)

So the slope of the line perpendicular to this  will be - 1 / (-1/2) = 2.

Consider the other line:

ax + 2y + 3 = 0

2y = -ax - 3

y = (-a/2) x - 3/2 (Slope/intercept form)

So the slope for this line    - a/2 and it equals 2.

-a/2 = 2

-a = 2*2 = 4

a = -4 (answer).

5 0
3 years ago
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