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4 years ago

15 pts!! Please help??

1 answer:

8 0

The answer is: [D]: 0.211 .
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Explanation:
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Given: 2(7)^(3x+1) = 48<span>; Solve for "x" (using "ln");
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First, divide EACH side of the equation by: "2" ;
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</span>→ [<span>2(7)^(3x+1)] / 2 = 48 / 2 ;
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to get: </span> → 7^(3x+1) = 24 ;
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→ Now, take the "ln" of EACH side of the equation:
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→ ln [7^(3x+1)] = ln 24 ;

→ (3x+1) ln 7 = ln 24 ;

→ Divide EACH side of the equation by "ln 7" ;

→ [(3x+1) (ln 7)] / ln 7 = (ln 24 / ln 7) ;

→ 3x + 1 = (ln 24 /ln 7)
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(Using calculator, "(ln 24 / ln 7)" equals: "1.63319659538");
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→ 3x + 1 = 1.63319659538 ;

→ Subtract "1" from EACH side of the equation;

→ 3x + 1 − 1 = 1.63319659538 − 1 ;

→ 3x = 0.63319659538 ;

→ Now, divide EACH side of the equation by "3"; to isolate "x" on one side of the equation; and to solve for "x" ;
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→ 3x / 3 = 0.63319659538 / 3 ; (using calculator);
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to get:
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→ x = 0.2110655317933333 ; which is:
Answer choice: [D]: 0.211 (rounded).

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What is the lcd of 1/3 and 3/7<br><br>Help rn

Thepotemich [5.8K]

Answer:

The least common denominator is 21.

Step-by-step explanation:

First, you must find the least common factor of the two:

3: 3, 6, 9, 12, 15, 18, <em><u>21</u></em>, 24, 27, 30

7: 7, 14, <em><u>21</u></em>, 28, 35, 42, 49, 56, 63, 70

Second, you must increase the fractions:

$\frac{1}{3}$ × $\frac{7}{7}$ = $\frac{7}{21}$ $\frac{3}{7}$ × $\frac{3}{3}$ = $\frac{9}{21}$

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4 years ago

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2/3 + y2/3 = 4 (−3 3 , 1)

vovikov84 [41]

Answer with Step-by-step explanation:

We are given that an equation of curve

$x^{\frac{2}{3}}+y^{\frac{2}{3}}=4$

We have to find the equation of tangent line to the given curve at point $(-3\sqrt3,1)$

By using implicit differentiation, differentiate w.r.t x

$\frac{2}{3}x^{-\frac{1}{3}}+\frac{2}{3}y^{-\frac{1}{3}}\frac{dy}{dx}=0$

Using formula : $\frac{dx^n}{dx}=nx^{n-1}$

$\frac{2}{3}y^{-\frac{1}{3}}\frac{dy}{dx}=-\frac{2}{3}x^{-\frac{1}{3}}$

$\frac{dy}{dx}=\frac{-\frac{2}{3}x^{-\frac{1}{3}}}{\frac{2}{3}y^{-\frac{1}{3}}}$

$\frac{dy}{dx}=-\frac{x^{-\frac{1}{3}}}{y^{-\frac{1}{3}}}$

Substitute the value x= $-3\sqrt3,y=1$

Then, we get

$\frac{dy}{dx}=-\frac{(-3\sqrt3)^{-\frac{1}{3}}}{1}$

$\frac{dy}{dx}=-(-3^{\frac{3}{2}})^{-\frac{1}{3}}=-\frac{1}{-(3)^{\frac{3}{2}\times \frac{1}{3}}}=\frac{1}{\sqrt3}$

Slope of tangent=m= $\frac{1}{\sqrt3}$

Equation of tangent line with slope m and passing through the point $(x_1,y_1)$ is given by

$y-y_1=m(x-x_1)$

Substitute the values then we get

The equation of tangent line is given by

$y-1=\frac{1}{\sqrt3}(x+3\sqrt3)$

$y-1=\frac{x}{\sqrt3}+3$

$y=\frac{x}{\sqrt3}+3+1$

$y=\frac{x}{\sqrt3}+4$

This is required equation of tangent line to the given curve at given point.

8 0

4 years ago

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evablogger [386]

Hope this helps.

https://www.geteasysolution.com/x-2=-6x-18

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3 years ago

What does a non linear represented on a graph looks like

kvasek [131]

This has got to be THE dumbest question bro

6 0

4 years ago

4. Which of the following expressions represents the perimeter of the figure below?

Alexxx [7]

<h2>Explanation:</h2><h2 />

Hello! Remember you have to write complete questions in order to get good and exact answers. Here I'll help you assuming some things. First of all, for a two dimensional shape, the perimeter is defined as the distance around it. Suppose we have a rectangle whose dimensions are:

$l=4x+9 \\ \\ w=2x-19 \\ \\ \\ l:Length \\ \\ w:Width \\ \\ \\ \text{So the perimeter is:} \\ \\ P=2l+2w \\ \\ P=2(4x+9)+2(x-19) \\ \\ P=8x+18+2x-38 \\ \\ P=(8x+2x)+(18-38) \\ \\ \boxed{P=10x-20}$

So in this context:

Correct option is D. 10x - 20

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4 years ago