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Firdavs [7]
3 years ago
12

Express in the form 2^n

Mathematics
1 answer:
Paraphin [41]3 years ago
4 0
\frac{1}{16} = \frac{1}{2^4} = 2^{-4}
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Select the two statements that are true about the equation −10=60(−40)
Aleksandr-060686 [28]

Answer:

The slope of the line is 60  

One point on the line is (40, 10)  

Step-by-step explanation:

The missing choices are :

1) The slope of the line is 10  

2)One point on the line is (40, 10)  

3)The slope of the line is 60  

4)One point on the line is (10, 60)

Given the equation y−10=60(x−40),  applying distributive property we get:

y−10=60x - 60*40

t = 60x - 2400 + 10

t = 60x - 2390

The slope is the number that multiplies x, that is, 60.

To check if the point (40, 10) belongs to the equation, replace the values x = 40 and y = 10 in the equation, as follows:

(10)−10=60((40)−40)

0 = 0

The same number appear at both sides of the equal sign,  then the point (40, 10) is on the line. Analogously, for point (10, 60):

(60)−10=60((10)−40)

50 = 60*(-30)

50 = -1800

The two numbers are different, then, the point (10, 60) is not on the line.

4 0
3 years ago
Read 2 more answers
How do I figure out1/2(35)(12)
Artemon [7]
You multiply the 3 values. I would first multiply 1/2 x 12, which = 6, then multiply 6 x 35, which = 210
3 0
2 years ago
Find the exact value of each expression, if it defined. ( if answer is undefined, enter undefined) tan (-1)
Triss [41]

Answer:

tan(-1) \approx -0.02

Step-by-step explanation:

The given expression is

tan(-1)

The tangent of -1 is defined, it's around -0.02.

The tangent is a trigonometric function with a period of \pi, where each period is separated by a vertical asymptote which indicates that the function is not determined through all its domain, that's what the question refers to when it says "if is undefined, enter undefined".

However, at x=-1, the tangent is determined, that means, there's no asymptote on that coordinate, that's why it has a "determined value", which is -0.02 approximately.

tan(-1) \approx -0.02

6 0
2 years ago
A street light is at the top of a 25 ft pole. A 4 ft tall girl walks along a straight path away from the pole with a speed of 6
Burka [1]

Answer:

Tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

Step-by-step explanation:

Given : In the figure attached, Length of girl EC = 4 ft

           Length of street light AB = 25 ft

           Girl is moving away from the light with a speed = 6 ft per sec.

To Find : Rate (\frac{dw}{dt}) of the tip (D) of the girl's shadow (BD) moving away from th

light.

Solution : Let the distance of the girl from the street light is = x feet

Length of the shadow CD is = y feet

Therefore, \frac{dx}{dt}=6 feet per sec. [Given]

In the figure attached, ΔAFE and ΔADE are similar.

By the property of similar triangles,

\frac{x}{21}=\frac{x+y}{25}

25x = 21(x + y)

25x = 21x + 21y

25x - 21x = 21y

4x = 21y

y = \frac{4x}{21}

Now we take the derivative on both the sides,

\frac{dy}{dt}=\frac{4}{21}\times \frac{dx}{dt}

= \frac{4}{21}\times 6

= \frac{8}{7}

≈ 1.14 ft per sec.

Since w = x + y

Therefore, \frac{dw}{dt}= \frac{dx}{dt}+\frac{dy}{dt}

\frac{dw}{dt}=6+1.14

= 7.14 ft per sec.

Therefore, tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

3 0
3 years ago
I'm a factor of 10 but not a multiple of 5
makkiz [27]
2 it is 2 and thats all it will ever be man

8 0
2 years ago
Read 2 more answers
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