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3 years ago

15

Logarithmic and Exponential Forms of Equations In Exercise,Write the logarithmic equation as an exponential equation,or vice ver

sa.
In 0.2 = - 1.6094...

1 answer:

lesantik [10]3 years ago

4 0

Answer:

e^-1.6094 = 0.2

Step-by-step explanation:

The inverse of In is e

If In 0.2 = -1.6094

Then e^-1.6094 = 0.2

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Help with finding the volume of the cone pictured

jasenka [17]

Volume of the cone = 56.52 in³

Solution:

Diameter of the cone = 6 in

Radius of the cone = 6 ÷ 2 = 3 in

Height of the cone = 6 in

The value of π = 3.14

<u>To find the volume of the cone:</u>

Volume of the cone = $\frac{1}{3} \pi r^{2} h$

$$=\frac{1}{3} \times 3.14 \times 3^{2} \times 6$

$$=3.14 \times 18$

= 56.52

Volume of the cone = 56.52 in³

Hence the volume of the given cone is 56.52 $\text{in}^3$ .

4 0

3 years ago

15 – 0.5(4x – 2) + 4x = 17

loris [4]

Answer:

$\large\boxed{x=\dfrac{1}{2}=0.5}$

Step-by-step explanation:

$15-0.5(4x-2)+4x=17\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\15+(-0.5)(4x)+(-0.5)(-2)+4x=17\\\\15-2x+1+4x=17\qquad\text{combine like terms}\\\\(-2x+4x)+(15+1)=17\\\\2x+16=17\qquad\text{subtract 16 from both sides}\\\\2x+16-16=17-16\\\\2x=1\qquad\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{1}{2}\\\\x=\dfrac{1}{2}$

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3 years ago

T=2r + 3<br> 5r - 4t = 6

ludmilkaskok [199]

Answer:

solving by substitution: t = -9, r = -6

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A bake sale earns 80$ from selling 50 brownies. Each brownie cost the same amount. How much was 1 brownie?

Nataly [62]

$1.60
Divide 80 by 50 to find the cost of one brownie which will then lead you to get you the answer of $1.60

3 0

3 years ago

Read 2 more answers

Karissa begins to solve the equation (x – 14) + 11 = x – (x – 4). Her work is correct and is shown below. (x – 14) + 11 = x – (x

sdas [7]

Her work is incorrect because she accidentally changed -14 to -7 in the second step.
Working it out from the top we get
(x-14)+11=x-(x-4)
x-14+11=x-x+4
x-3=0+4
Final answer:
x=7
Hope I helped :)

4 0

4 years ago

Read 2 more answers