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3 years ago

8

Which statement is true? 5/8>1\2 5/8=1/2 5/8<1/2

1 answer:

Leokris [45]3 years ago

7 0

Answer: 5/8>1/2

Step-by-step explanation:

First you must have a common denominator.

Change 1/2 to 4/8

(1/2 = 4/8)

Second:

5/8 ? 4/8

5/8 is greater than 1/4 (aka 1/2)

so

5/8 > 1/2

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Sold the equation. Round to the nearest hundredth. <br><br>17 · <img src="https://tex.z-dn.net/?f=1.8%5E%7B-x%2B7%7D%20%3D%205"

svetlana [45]

Answer:

Final answer is approx x=4.26.

Step-by-step explanation:

Given equation is $1.8^{-x+7} = 5$

Now we need to solve equation $1.8^{-x+7} = 5$ and round to the nearest hundredth.

$1.8^{-x+7} = 5$

$\log(1.8^{-x+7}) = \log(5)$

$(-x+7)\log(1.8) = \log(5)$

$(-x+7) = \frac{\log(5)}{\log(1.8)}$

$(-x+7) = \frac{0.698970004336}{0.255272505103}$

$-x+7 = 2.73813274192$

$-x = 2.73813274192-7$

$-x =−4.26186725808$

$x =4.26186725808$

Round to the nearest hundredth.

Hence final answer is approx x=4.26.

4 0

3 years ago

Could someone help me, please?

k0ka [10]

We can rewrite the expression under the radical as

$\dfrac{81}{16}a^8b^{12}c^{16}=\left(\dfrac32a^2b^3c^4\right)^4$

then taking the fourth root, we get

$\sqrt[4]{\left(\dfrac32a^2b^3c^4\right)^4}=\left|\dfrac32a^2b^3c^4\right|$

Why the absolute value? It's for the same reason that

$\sqrt{x^2}=|x|$

since both $(-x)^2$ and $x^2$ return the same number $x^2$ , and $|x|$ captures both possibilities. From here, we have

$\left|\dfrac32a^2b^3c^4\right|=\left|\dfrac32\right|\left|a^2\right|\left|b^3\right|\left|c^4\right|$

The absolute values disappear on all but the $b$ term because all of $\dfrac32$ , $a^2$ and $c^4$ are positive, while $b^3$ could potentially be negative. So we end up with

$\dfrac32a^2\left|b^3\right|c^4=\dfrac32a^2|b|^3c^4$

3 0

3 years ago

If the mass of a material is 45 grams and the volume of the material is 11 cm^3, what would the density of the material be?

Nuetrik [128]

Answer:

Density of material would be 4.09 $g/cm^3$

units is $g/cm^3$

Step-by-step explanation:

Given: The mass of a material is 45 grams and the volume of the material is 11 cubic centimeter

Density is defined as mass per unit volume.

It is given by:

$p= \frac{m}{V}$ where p is the density , m is the mass and V is the volume of the material respectively.

Here, Density is expressed in grams per centimeter cubed (g/cubic cm)

Here, m = 45 g , V = 11 cubic cm

We get;

$p= \frac{45}{11}$ = 4.09 $g/cm^3$

therefore, density of a material would be, $4.09 g/cm^3$

and its units is $g/cm^3$

7 0

3 years ago

Which function is represented by the graph? f(x) = −2|x| + 1 f(x) = |x| + 1 f(x) = -2|x + 1| f(x) = |x + 1|

nevsk [136]

The answer is A. F(x)= -2 |x| + 1

7 0

3 years ago

Read 2 more answers

If a roof is 30ft 4 in wide & 52 ft 9 in long with 3 inches of water trapped on the roof. how many gallons are trapped on th

Anarel [89]

Answer:

42,069

Step-by-step explanation:

8 0

3 years ago