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Stolb23 [73]
3 years ago
5

Write the​ part-to-whole relationship for the fraction given below.

Mathematics
1 answer:
vivado [14]3 years ago
4 0

Answer:

1. Two ribbons, A and B. One third of A is equal to all of B. Draw a tape diagram to show the ribbons.

2. Half Robert’s piece of wire is equal to 2/3 of Maria’s wire. The total length of their wires is 10 feet. How much longer is Robert's wire than Maria's?

3. Half Sarah’s wire is equal to 2/5 of Daniel’s. Chris has 3 times as much as Sarah. In all, their wire measures 6 ft. How long is Sarah’s wire in feet?

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Please help!<br> what name is given to the shape of the graph of a quadratic function?
wlad13 [49]

Answer:

It's a parabola.

Step-by-step explanation:

8 0
3 years ago
Find the solution set of this inequality. select the correct graph. |-4x+14|&gt;6
lions [1.4K]
Split the inequality into two:
(-4x+14)>6 & -(-4x+14)>6

solve:
(-4x+14)>6
-4x>-8
x<2
(symbol changes when ÷/× by negative for inequalities.)

-(-4x+14)>6
-4x+14<-6
-4x<-20
x>5

the answers are x<2 and x>5, so you would write your answer like this: (-∞,2) ∪ (5,∞)
5 0
3 years ago
F(x)= -x over x^2+5 on the domain [0,4]
BartSMP [9]
If you're asking for extrema, like the previous posting

well

\bf f(x)=\cfrac{-x}{x^2+5}&#10;\\\\\\&#10;\cfrac{df}{dx}=\cfrac{(x^2+5)+2x^2}{(x^2+5)^2}\implies \cfrac{df}{dx}=\cfrac{5+3x^2}{(x^2+5)^2}\impliedby &#10;\begin{array}{llll}&#10;using\ the\\&#10;quotient\ rule&#10;\end{array}

like the previous posting, since this rational is identical, just that the denominator is negative, the denominator yields no critical points

and the numerator, yields no critical points either, so the only check you can do is for the endpoints, of 0 and 4

f(0) = 0        <---- only maximum, and thus absolute maximum

f(4) ≈ - 0.19  <----  only minimum, and thus absolute minimum
5 0
3 years ago
The volume of a cone is 3rx? cubic units and its height is x units. Which expression represents the radius of the cone's base, i
Marianna [84]

Answer:

It is given that the volume of a cone = 3\pi x^3 cubic units

Volume of cone with radius 'r' and height 'h' = \frac{1}{3}\pi r^2h

Equating the given volumes, we get

3\pi x^3=\frac{1}{3}\pi r^2h

r^2h=3 × 3x^3

r^2h=9 x^3

It is given that the height is 'x' units.

Therefore, r^2x=9x^3

r^2=9x^2

Therefore, r=3 x

So, the expression '3 x' represents the radius of the cone's base in units.

3 0
2 years ago
When angles are complementary the sum of their measures is 90 degrees. Two complementary angles have measured of 2x-10 degrees a
Vinvika [58]

56° and 34°

complementary angles sum to 90° thus

3x - 10 + 2x - 10 = 90

5x - 20 = 90

add 20 to both sides of the equation

5x = 90 + 20 = 110

divide both sides by 5

x = \frac{110}{5} = 22

angle 2x - 10 = (2 × 22) - 10 = 44 - 10 = 34° and

angle 3x - 10 = (3 × 22) - 10 = 66 - 10 = 56°


3 0
3 years ago
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