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3 years ago

4e^2x-6=10

e" class="latex-formula">

Mathematics

2 answers:

Aloiza [94]3 years ago

5 0

Answer:

x= 4/e^2

alternate form 0.541341

Step-by-step explanation:

Taya2010 [7]3 years ago

3 0

X=4/e^2 or X=0.541341

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Please help me with this geometry question !!!

Inessa05 [86]

Answer:

see explanation

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ), thus

P(1, - 1 ) → P'(1, 1 )

Q(3, - 2 ) → Q'(2, 3 )

R(3, - 4 ) → R'(4, 3 )

8 0

3 years ago

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 80 degrees at midnig

Vladimir [108]

Answer:

The equation is given by:

$D(t) = 80 + 9\sin{0.2618t}$

Step-by-step explanation:

Sine function:

Has the following format:

$y = A\sin{bx}$

In which A is the amplitude and $\frac{2\pi}{b}$ is the period.

Suppose you know the temperature is 80 degrees at midnight and the high and low temperature during the day are 89 and 71 degrees

This means that the amplitude of the sinusoidal variation function is 89 - 80 = 80 - 71 = 9. This means that $A = 9$

During a 24-hour day, which means that the period is 24. So

$\frac{2\pi}{b} = 24$

$24b = 2\pi$

$b = \frac{2\pi}{24}$

$b = 0.2618$

So the variation is:

$V(t) = 9\sin{0.2618t}$

Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.

Initial temperature of 80, so:

$D(t) = 80 + V(t) = 80 + 9\sin{0.2618t}$

8 0

3 years ago

Can't figure out where to put the parentheses

Shtirlitz [24]

8 times 4 and 8 divided by 2 i think

8 0

3 years ago

Read 2 more answers

Graph y= x^2+3x+2. identify the vertex and axis of symmetry

dlinn [17]

Axis or sym. is -1.5. vertex is ( -.25,-1.5)

5 0

3 years ago

Annie walks 15 feet away from her house and places a mirror on the ground. She backs 4 feet away from the mirror so that she can

artcher [175]

Answer:

The house is 18.75 feet tall

Step-by-step explanation:

The triangles are similar by the AA postulate.

We are given the length of the bottom sides of the triangles, 4 and 15 respectively.

Thus, the ratio is 4:15

We are also given the height of Annie's eyes, which is 5 feet. The height of the side that corresponds to the house is 5, so we can set up a proportion.

$\frac{4}{15} = \frac{5}{x} \\4x = (5*15) = 75\\x = \frac{74}{4} \\x = 18.75$

Thus, the house is 18.75 feet tall.

5 0

3 years ago