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3 years ago

The equation y=-1 1/-3 x+4

Mathematics

1 answer:

Olin [163]3 years ago

7 0

Answer: X= 7

Step-by-step explanation:

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Answer:

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3 years ago

In ΔBCD, the measure of ∠D=90°, BD = 20, CB = 29, and DC = 21. What is the value of the cosine of ∠C to the nearest hundredth?

Romashka-Z-Leto [24]

Step-by-step explanation:

This is what the triangle should look like, when you draw it.

As its a right-angle triangle, trigonometry was used.

Let theta represent the angle of cosine C

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3 years ago

Jake earns $7.50 per hour working at a local car wash. The function, ƒ(x) = 7.50x, relates the amount Jake earns to the number o

torisob [31]

For this case we have the following function:

$f(x) = 7.50x$

An equivalent way to write this function is:

$y = 7.50x$

From here, we clear the value of x.

We have then:

$x = \frac{y}{7.50}$

Returning the variables we have that the inverse of the function is:

$f (x) ^ - 1 =\frac{x}{7.50}$

Answer:

the inverse of this relation is:

$f (x) ^ - 1 =\frac{x}{7.50}$

4 0

4 years ago

Read 2 more answers

Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its te

grigory [225]

Answer:

Tt = Ts + Ce^-kt

Tt = 62 + 138e^-0.0068t

Step-by-step explanation:

The initial value problem for the Newton cooling rate is :

Tt = Ts + Ce^-kt

Initial temperature,when freshly poured Ti = 200°F

Temperature after 11 minutes = 190°F

Temperature of room, Ts= 62°F

Using the relation :

Tt = Ts + Ce^-kt

Temperature after time, t

When freshly poured, t = 0

k = constant of proportionality

We can then solve for C and k as follows :

200 = 62 + Ce^-0k

200 = 62 + C

C = 200 - 62 = 138°F

Using the Temperature after 11 minutes ; we can find, k, proportionality constant:

Temperature, Tt after, t = 11 minutes = 190

Tt = Ts + Ce^-kt

190 = 62 + 138e^-11k

128 = 138e^-11k

128 / 138 = e^-11k

0.9275 = e^-11k

Take In of both sides :

−0.075223 = - 11k

k = −0.075223 / - 11

k = 0.0068

The model function becomes :

Ts = 62 ; C = 138

Tt = 62 + 138e^-0.0068t

3 0

3 years ago

Y=2/3x-4 and y=-3/2x+1 are perpendicular lines. Jack notices that the product of the two perpendicular slopes is -1. If a line h

lana66690 [7]

Answer:

Slope = -b/a.

Step-by-step explanation:

Note that the relation between 2/3 and -3/2 is that their product is -1.

If the slope is a/b then we have a/b * m = -1 where m is the slope of the perpendicular line .

So m = -1 / a/b

= -b/a.

The produce = a/b * -b/a = -1.

3 0

3 years ago