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3 years ago

6

Solve 5x − 4 = 7 for x using the change of base formula log base b of y equals log y over log b.

1 answer:

Sauron [17]3 years ago

5 0

Answer:

5.209 or A

Step-by-step explanation

5^x-4=7

reserve 4

log sides

x-4 log5 and log7

x-4=log7/log5

+4 or number of your equation

x=log5/log7 +4

use calculator

get answer

5.209

EDIT: Got a 100 on the test this is correct

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icang [17]

Answer:

Step-by-step explanation:

a) 5 cm(25000)(1 m/100 cm)(1 km/1000 m) = 1.25 km

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3 years ago

Find the areas of the sectors formed by ZDFE. Round your answers to the nealest hundredth.

Sonja [21]

Answer:

Step-by-step explanation:

Area of the sector is modeled by the expression = $\frac{\theta}{360}(\pi ) r^{2}$

Here, θ = central angle subtended by the arc

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3 years ago

Solving a Quadratic Equation by Completing the Square Solve x2 + 8x = 33 by completing the square. Which is the solution set of

tresset_1 [31]

Divide the coefficient of x by 2 then square the quotient.
Add the result to both sides of the equation.

$x^2 + 8x = 33$
$x^2 + 8x + (\frac{8}{2})^2 = 33 + (\frac{8}{2})^2$
$x^2 + 8x + 4^2 = 33 + 4^2$
$x^2 + 8x + 16 = 33 + 16$
$x^2 + 8x + 16 = 49$

Factor the left-hand side.

$(x + 4)^2 = 49$

Square both sides.

$x + 4 = \sqrt{49}$

Subtract both sides by 4.

$x = -4$ $± \sqrt{49}$

Simplify.

$x = -4$ $± 7$
So, x can either equal -4 + 7 or -4 - 7

So, the answer is {-11, 3}

NOTE: You're probably seeing a strange A in the equations. I tried to fix it, but I couldn't. Sorry about that.

8 0

3 years ago

Read 2 more answers

Which of the following is an equivalent expression to the expression a1/3 / a1/4

Mashcka [7]

Answer:

Option A :- $\sf {a}^{\frac{1}{12}}$

Step-by-step explanation:

$\hookrightarrow \sf \: \frac{ {a}^{ \frac{1}{3} } }{ {a}^{ \frac{1}{4} } }$

Simplify the expression

$\hookrightarrow \sf \: {a}^{ \frac{1}{3} - \frac{1}{4} }$

Transform the Expression

$\hookrightarrow \sf \: {a}^{ \frac{4 - 3}{12} }$

Calculate

$\hookrightarrow \sf {a}^{\frac{1}{12}}$

3 0

2 years ago

It takes Tony 15 hours to rake the front lawn while his brother, Jose, can rake the lawn in 12 hours. How long will it take them

Ugo [173]

Answer:

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$\frac{1}{15} + \frac{1}{12} \\$

in one hour

$\frac{4 + 5}{60} \\ \frac{9}{60}$

<em>in 6 hours</em><em> </em><em>the</em><em>y</em><em> </em><em>can</em><em> </em><em>finish</em>

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<em>so</em><em> </em><em>the</em><em> </em><em>left</em><em> </em><em>wo</em><em>rk</em>

<em> $\frac{60 - 54}{60}$ </em>

<em> $\frac{6}{60}$ </em>

<em>they</em><em> </em><em>can </em><em>perform</em>

<em> $\frac{3}{60} work in60 \: minutes \div 3$ </em>

<em>so</em><em> </em><em>the</em><em> </em><em>can</em><em> </em><em>per</em><em>form</em><em> </em>

<em> $\frac{6}{60} work \: in \: 20minutes \times 2$ </em>

<em>the</em><em> </em><em>take</em><em> </em><em>6</em><em> </em><em>hou</em><em>rs</em><em> </em><em>and</em><em> </em><em>4</em><em>0</em><em> </em><em>minu</em><em>tes</em>

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3 years ago