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Fynjy0 [20]
3 years ago
6

Kelsey's water bottle holds 4 cups of water. How many times can she fill her water bottle from a 1-gallon jug of water?

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
4 0

Answer:

4 times

Step-by-step explanation:

1 gallon is 16 cups and 4 times 4 is 16 which would give you a gallon

hope it helps

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a stadium floor that is in the shape of a circle has a diameter with a length of 210 yards which of these measurements is closes
Grace [21]
Area  = 3.14 * radius^2

Here we have area = 3.14 * 105^2 =  34,618.5  yd^2
5 0
3 years ago
Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (Enter your answers using inte
Mashcka [7]

Answer:

f'(x) > 0 on (-\infty ,\frac{1}{e}) and f'(x)<0 on(\frac{1}{e},\infty)

Step-by-step explanation:

1) To find and interval where any given function is increasing, the first derivative of its function must be greater than zero:

f'(x)>0

To find its decreasing interval :

f'(x)

2) Then let's find the critical point of this function:

f'(x)=\frac{\mathrm{d} }{\mathrm{d} x}[6-2^{2x}]=\frac{\mathrm{d} }{\mathrm{d}x}[6]-\frac{\mathrm{d}}{\mathrm{d}x}[2^{2x}]=0-[ln(2)*2^{2x}*\frac{\mathrm{d}}{\mathrm{d}x}[2x]=-ln(2)*2^{2x}*2=-ln2*2^{2x+1\Rightarrow }f'(x)=-ln(2)*2^{2x}*2\\-ln(2)*2^{2x+1}=-2x^{2x}(ln(x)+1)=0

2.2 Solving for x this equation, this will lead us to one critical point since x'  is not defined for Real set, and x''=\frac{1}{e}≈0.37 for e≈2.72

x^{2x}=0 \ni \mathbb{R}\\(ln(x)+1)=0\Rightarrow ln(x)=-1\Rightarrow x=e^{-1}\Rightarrow x\approx 2.72^{-1}x\approx 0.37

3) Finally, check it out the critical point, i.e. f'(x) >0 and below f'(x)<0.

8 0
3 years ago
Rachel has a bag of fruit that has a mass of 50 hectograms. Rachel converts this mass to centigrams. Her work is shown below.
Alinara [238K]

Answer:

She should have multiplied by 10,000

Step-by-step explanation:

Given table:

\begin{array}{| c | c |}\cline{1-2} \sf kilo & 1,000 \\\cline{1-2} \sf hecto & 100 \\\cline{1-2} \sf deka & 10 \\\cline{1-2} \sf unit & 1 \\\cline{1-2} \sf deci & 0.1 \\\cline{1-2} \sf centi & 0.01 \\\cline{1-2} \sf milli & 0.001 \\\cline{1-2}\end{array}

To find the conversion rate:

\sf \dfrac{hecto}{centi}=\dfrac{100}{0.01}=10000

Therefore, 1 hectogram = 10,000 centigrams

So when converting hectograms to centigrams, multiply the mass by 10,000.

⇒ 50 hg × 10,000 = 500,000 centigrams

Rachel's error was that she should have multiplied by 10,000.

7 0
2 years ago
Read 2 more answers
Before he left the house to go on a walk, Curtis played a video game. He started with O points, lost 8
erica [24]

Answer:

-22

Step-by-step explanation:

given= 0

lost= -8 times 3  =  -24

won= 4    -24+4=-20

lost= -2   -20-2=-22

Answer=-22

5 0
3 years ago
Find the area of parallelogram
Alika [10]

Answer:

45m

Step-by-step explanation:

9*5

5 0
3 years ago
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