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True [87]
3 years ago
12

The ratio of water to orange juice to cranberry juice in a punch bowl should be 2:5:3.

Mathematics
1 answer:
den301095 [7]3 years ago
6 0
Water= 2
Orange juice= 5
Cranberry Juice= 3

Since the cranberry juice is 24 ounces, and 3 ounces in the other ratio, we know that 3*8=24, so we would multiply all of the others by 8. 

Cranberry juice: 3*8=24
Orange juice: 5*8= 40
Water: 2*8=16

So our ratio would be 16:40:24
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Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π
lorasvet [3.4K]

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The <em>instantaneous</em> rate of change at a given value of x can be found by concept of derivative, which is described below:

g(x) =  \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}

Where h is the <em>difference</em> rate.

In this question we must find an expression for the <em>instantaneous</em> rate of change of g if f(x) = \sin x and evaluate the resulting expression for x = \frac{\pi}{3}. Then, we have the following procedure below:

g(x) =  \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin h}{h}\cdot  \lim_{h \to 0} \cos x

g(x) = \cos x

Now we evaluate g(x) for x = \frac{\pi}{3}:

g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>. \blacksquare

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037

4 0
2 years ago
Use the formula d = ( r − c ) t to find c if d = 6 , r = 4 , and t = 2 . c=
Minchanka [31]

First, we are going to want to plug in the values we are given. In this case, we will end up with the equation:

6 = (4 - c) 2


From here, we can solve the equation to find c:

6 = 2(4 - c)

  • Apply the commutative property to rearrange the terms on the right-side of the equation to make the distributive property more apparent

6 = 8 -2c

  • Apply the distributive property

-2 = -2c

  • Subtract 8 from both sides of the equation

1 = c

  • Divide both sides of the equation by -2

We have found that c = 1.

7 0
3 years ago
Determine if the two lines with the given slope are parallel, perpendicular, or neither. Circle your
Sati [7]

Answer:

As the lines are neither parallel nor perpendicular.

Therefore, the correct answer is ''neither''.

Hence, option C is correct.

Step-by-step explanation:

Given

m₁ = 3/2

m₂ = -3/2

We know that when two lines are parallel, they have equal slopes

But

m₁ ≠ m₂

3/2 ≠ -3/2

As the m₁ and m₂ are not equal.

Hence, the lines are not parallel.

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = 3/2 × -3/2

              = -9/4

              = -2.25

As

m₁ × m₂ ≠ -1

Thus, the lines are not perpendicular.

Conclusion:

As the lines are neither parallel nor perpendicular.

Therefore, the correct answer is ''neither''.

Hence, option C is correct.

8 0
2 years ago
Please help answer this I need help badly
Viefleur [7K]
It should be 2 ..............
4 0
3 years ago
Read 2 more answers
Mary delivers 32 newspapers to her customers in 25 minutes. These deliveries represent 64% of her customers.
sveticcg [70]
<span>Ok. You would set up the problem like this: 32/x=64/100 and then cross multiply; 3200=64x; divide both sides by 64; x=50. Mary has 50 customers.</span>
6 0
2 years ago
Read 2 more answers
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