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3 years ago

Seven less than twice the number

Mathematics

1 answer:

Nostrana [21]3 years ago

7 0

Answer:

$2n-7$

Step-by-step explanation:

Let the number be n.

Twice the number: 2n.

Seven less than twice the number: 2n - 7.

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Calculate the values of the Expressions below 3 * 8 divided by 2 squared + 1

mixer [17]

Answer:

Step-by-step explanation:

$\frac{3 \times8}{2^2+1}\\\\\mathrm{Multiply\:the\:numbers:}\:3\times \:8=24\\\\=\frac{24}{2^2+1}\\\\2^2+1=5\\\\=\frac{24}{5}$

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3 years ago

Easy 10 points please help

larisa [96]

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3 years ago

What is 35% of 35!!

mixas84 [53]

35% of 35 would be 12.25

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3 years ago

Read 2 more answers

The tangent of the graph of y=<img src="https://tex.z-dn.net/?f=e%5E%7Bax%7D" id="TexFormula1" title="e^{ax}" alt="e^{ax}" align

bearhunter [10]

a) The tangent to $y=e^{ax}$ at $x=p$ has slope

$y' = ae^{ax} \implies y'(p) = ae^{ap}$

and $y=e^{ap}$ at this point. It passes through the origin, so its equation is

$y - 0 = ae^{ap} (x - 0) \implies y = ae^{ap} x$

It also passes through the point $(p,e^{ap})$ on the curve, so

$y - e^{ap} = ae^{ap} (x - p) \implies y = e^{ap} + ae^{ap} x - ape^{ap}$

By substitution,

$ae^{ap} x = e^{ap} + ae^{ap} x - ape^{ap} \implies e^{ap} = ape^{ap} \implies ap=1 \\\\ \implies \boxed{p=\dfrac1a}$

b) The normal to $y=e^{ax}$ at $x=2p$ has slope

$-\dfrac1{y'(2p)} = -\dfrac1{ae^{2ap}} = -1 \implies ae^{2ap} = 1$

It follows that

$ae^{2ap} = ae^2 = 1 \implies \boxed{a = \dfrac1{e^2} \text{ and } p = e^2}$

c) The tangent line equation is then

$y = \dfrac1{e^2} e^1 x \implies \boxed{y = \dfrac xe}$

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2 years ago

Drew’s kite is flying above a field at the end of a 65m string. if the angle of elevation to the kite measures 70 degrees, how h

Goryan [66]

Let h be the height

then,

sin(70) = h/65

or, h = 61.08
h= 61m

6 0

3 years ago