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3 years ago

Complete each of the following using the given graph.

Mathematics

1 answer:

morpeh [17]3 years ago

5 0

Answer:

try working it out

Step-by-step explanation:

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In chemistry class 18 liters of 30% alcohol solution must be mixed with 20% solution to get 14% solution how many liters of 20%

Virty [35]

30% is needed because i believe it is i am really trying hope u get it right <span />

4 0

3 years ago

What is the value of x ?

jolli1 [7]

Answer:

x=3

Step-by-step explanation:

180-120=60

60+15x+5+22x+4=180

69+37x=180

37x=111

x=3

4 0

3 years ago

One-half of one-seventh of T equals one-third of one-fifth of 90. What is the value of T

butalik [34]

Answer:

Step-by-step explanation:

This is the equation. Read it carefully.

1/2 * 1/7 T = 1/3 * 1/5 * 90 Reduce

(1/14) * T = 1/15 * 90

1/15 * 90 = 6

(1/14)*T = 6 Multiply both sides by 14

T = 14 * 6

T = 84

3 0

2 years ago

What’s the answer to this question ?

Usimov [2.4K]

Answer:

(13,5)

Step-by-step explanation:

7 0

3 years ago

Because of their connection with secant lines, tangents, and instantaneous rates, limits of the form ModifyingBelow lim With h

Gre4nikov [31]

Answer:

$\dfrac{1}{2\sqrt{x}}$

Step-by-step explanation:

$f(x) = \sqrt{x} = x^{\frac{1}{2}}$

$f(x+h) = \sqrt{x+h} = (x+h)^{\frac{1}{2}}$

We use binomial expansion for $(x+h)^{\frac{1}{2}}$

This can be rewritten as

$[x(1+\dfrac{h}{x})]^{\frac{1}{2}}$

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}$

From the expansion

$(1+x)^n=1+nx+\dfrac{n(n-1)}{2!}+\ldots$

Setting $x=\dfrac{h}{x}$ and $n=\frac{1}{2}$ ,

$(1+\dfrac{h}{x})^{\frac{1}{2}}=1+(\dfrac{h}{x})(\dfrac{1}{2})+\dfrac{\frac{1}{2}(1-\frac{1}{2})}{2!}(\dfrac{h}{x})^2+\tldots$

$=1+\dfrac{h}{2x}-\dfrac{h^2}{8x^2}+\ldots$

Multiplying by $x^{\frac{1}{2}}$ ,

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}=x^{\frac{1}{2}}+\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots$

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}=\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots$

$\dfrac{x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}}{h}=\dfrac{1}{2x^{\frac{1}{2}}}-\dfrac{h}{8x^{\frac{3}{2}}}+\ldots$

The limit of this as $h\to 0$ is

$\lim_{h\to0} \dfrac{f(x+h)-f(x)}{h}=\dfrac{1}{2x^{\frac{1}{2}}}=\dfrac{1}{2\sqrt{x}}$ (since all the other terms involve $h$ and vanish to 0.)

8 0

3 years ago