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astraxan [27]
3 years ago
7

Brice has 1/2 of a gallon of glue. He wants to put an equal amount of the glue into each of 6 containers, using all of the glue.

Brice wants to find the fraction of a gallon that will be in each container. Which equation correctly represents Brice’s problem?
A) 6 × 2 = 1/2
B) 6 ÷ 1/2 = 3
C) 1/2 × 6 = 3
D) 1/2 ÷ 6 = 1/12
Mathematics
1 answer:
Alisiya [41]3 years ago
4 0

Answer:

The answer is D

Since you want to put an equal amount of glue in to 6 containers, the only thing you need to do is to divide 1/2 by 6 and the result is 1/12

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\[f(x)=\sqrt{x ^4-16x ^{2}}\]
marusya05 [52]
f ( x ) =  \sqrt{ x^{4} -16 x^{2} }
a ) The domain:
x^4 - 16 x² ≥ 0
x² ( x² - 16 ) ≥ 0
x² - 16 ≥ 0
x² ≥ 16
x ∈ ( - ∞, - 4 ] ∪ [ 4 , + ∞ )
b ) f ` ( x ) = \frac{1}{2 \sqrt{x ^{4}-16 x^{2}  } } *  ( x^{4}-16 x^{2} )` =
= ( 2 x³ - 16 x ) / √(x^4 - 16 x²)
c ) The slope of the tangent line at x = 5:
f ` ( 5 ) = ( 2 * 125 - 16 * 5 ) / √ ( 625 - 400 ) = 170 / 15 = 34 / 3
The slope of the line normal to the graph at x = 5:
m = - 3 / 34 
4 0
3 years ago
What kind of construction is it??
pochemuha
That is an angle bisector.
It divides an angle in half
hope it helps
3 0
4 years ago
Greater than or less than the base?
yarga [219]

Answer:

I think grater then?

Step-by-step explanation:

4 0
3 years ago
10(a-2.5+0.56b) is this equivalent to 10a - 25+56b
kirill115 [55]

Hey there!

10(a - 2.5 + 0.56b)

= 10(a) + 10(-2.5) + 10(0.56b)

= 10a - 25 + 5.6b

= 10a + 5.6b - 25

Therefore, your answer is: 10a + 5.6b - 25

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

3 0
3 years ago
A right △ABC is inscribed in circle k(O, r). Find the radius of this circle if:
natta225 [31]

We have been given that a right △ABC is inscribed in circle k(O, r).

m∠C = 90°, AC = 18 cm, m∠B = 30°. We are asked to find the radius of the circle.

First of all, we will draw a diagram that represent the given scenario.

We can see from the attached file that AB is diameter of circle O and it a hypotenuse of triangle ABC.

We will use sine to find side AB.

\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}

\text{sin}(30^{\circ})=\frac{AC}{AB}

\text{sin}(30^{\circ})=\frac{18}{AB}

AB=\frac{18}{\text{sin}(30^{\circ})}

AB=\frac{18}{0.5}

AB=36

Wee know that radius is half the diameter, so radius of given circle would be half of the 36 that is \frac{36}{2}=18.

Therefore, the radius of given circle would be 18 cm.

8 0
4 years ago
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