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2 years ago

8

on cold days, Leah likes to make hot chocolate. She uses 8 tablespoons of cocoa and 2 tablespoons of sugar. Leah doubles the rec

ipe when her cousin visits. what is the ratio of tablespoons of cocoa to tablespoons of sugar that Leah uses when she doubles the recipe? complete the ratio

2 answers:

Sveta_85 [38]2 years ago

4 0

Answer: 4

Hope I helped!!!

tester [92]2 years ago

3 0

Answer:the answer is 4

Step-by-step explanation:

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For the function y=3x2: (a) Find the average rate of change of y with respect to x over the interval [3,6]. (b) Find the instant

nirvana33 [79]

Answer:

The instantaneous rate of change of $y$ with respect to $x$ at the value $x = 3$ is 18.

Step-by-step explanation:

a) Geometrically speaking, the average rate of change of $y$ with respect to $x$ over the interval by definition of secant line:

$r = \frac{y(b) -y(a)}{b-a}$ (1)

Where:

$a$ , $b$ - Lower and upper bounds of the interval.

$y(a)$ , $y(b)$ - Function exaluated at lower and upper bounds of the interval.

If we know that $y = 3\cdot x^{2}$ , $a = 3$ and $b = 6$ , then the average rate of change of $y$ with respect to $x$ over the interval is:

$r = \frac{3\cdot (6)^{2}-3\cdot (3)^{2}}{6-3}$

$r = 27$

The average rate of change of $y$ with respect to $x$ over the interval $[3,6]$ is 27.

b) The instantaneous rate of change can be determined by the following definition:

$y' = \lim_{h \to 0}\frac{y(x+h)-y(x)}{h}$ (2)

Where:

$h$ - Change rate.

$y(x)$ , $y(x+h)$ - Function evaluated at $x$ and $x+h$ .

If we know that $x = 3$ and $y = 3\cdot x^{2}$ , then the instantaneous rate of change of $y$ with respect to $x$ is:

$y' = \lim_{h \to 0} \frac{3\cdot (x+h)^{2}-3\cdot x^{2}}{h}$

$y' = 3\cdot \lim_{h \to 0} \frac{(x+h)^{2}-x^{2}}{h}$

$y' = 3\cdot \lim_{h \to 0} \frac{2\cdot h\cdot x +h^{2}}{h}$

$y' = 6\cdot \lim_{h \to 0} x +3\cdot \lim_{h \to 0} h$

$y' = 6\cdot x$

$y' = 6\cdot (3)$

$y' = 18$

The instantaneous rate of change of $y$ with respect to $x$ at the value $x = 3$ is 18.

5 0

2 years ago

Suppose you deposit $1,200 into a bank account. The account earns yearly simple interest at a rate of 1 3/4%. How many years wil

igor_vitrenko [27]

Answer:

6 years

Step-by-step explanation:

1.75% of 1,200 = 21

so 1 year= 21

21+21= 42 2 years

42+21=63 3 years

63+21=84 4 years

81+21=105 5 years

105+21=126 6 years

Or you can do

21x6=126 so it has to equal 6 years

4 0

2 years ago

Please can someone do itpleaseeeeeeee

alukav5142 [94]

Answer:

a=250

b=10

done...

3 0

2 years ago

Please help solve the problem below.

ivann1987 [24]

Answer:

1. x = 2

2. x = 5

3. x = 8

4. x = 28

5. x = 13

6. x = 11

7. x = 0

8. x = 72

9. x = 6

10. x = 38

Step-by-step explanation:

hope that helps!

1. subtract 6 on both sides

2. add 3 on both sides

3. divide both sides by 2

4. multiply both sides by 2

5. add 8 on both sides

6. subtract 9 on both sides

7. add 5 on both sides

8. multiply both sides by 6

9. divide both sides by 4

10. add 18 on both sides

3 0

2 years ago

33 POINTS!!! Use the following data to determine the type of function (linear, quadratic, exponential) that best fits the data s

uranmaximum [27]

Answer:

The quadratic curve has the best correlation to the given data.

Step-by-step explanation:

Enter the data into a spreadsheet or graphing calculator and try the different regression options to see which gives the highest R-value. Here, the quadratic regression does that.

7 0

2 years ago