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Inessa [10]
3 years ago
5

A recipe says it produced the best sweet tea. In addition to using tea bags, the recipe calls for ½ cup of sugar for every 1 ½ c

ups of water. Write an equation that shows the relationship between the number of cups of water in this recipe. Let s represent the number of cups of sugar, and let w represent the number of cups of water.
Mathematics
2 answers:
Sergio [31]3 years ago
7 0

Answer:

The relationship between the number of cups of water and sugar  in the recipe is w = ¹/₃(s)

Step-by-step explanation:

Given;

number of cups of sugar = s

number of cups of water = w

The relationship between the number of cups of water and sugar in this recipe is given as;

½ cup of sugar is proportional to 1 ½ cups of water

\frac{1}{2} s = \frac{3}{2}w\\\\s= 3w\\\\w = \frac{s}{3}

Therefore, the relationship between the number of cups of water and sugar  in the recipe is w = ¹/₃(s)

Gala2k [10]3 years ago
7 0

Answer:

s=1/3w

Step-by-step explanation:

This is because:

1 1/2 cups water

1/2 cup sugar

1/2 is 1/3 of 1 1/2

Therefore, the fitting equation is s=1/3w

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3 years ago
A function is graphed on a coordinate grid. As the domain values approach infinity, the range values approach infinity. As the d
Sloan [31]

Answer:

D) Quadratic

Step-by-step explanation:

A function is graphed on a coordinate grid.

  • As the domain values approach infinity, the range values approach infinity.

       Domain: If x\rightarrow \infty then

       Range: y\rightarrow \infty

  • As the domain values negative infinity, the range values approach infinity.

       Domain: If x\rightarrow -\infty then

       Range: y\rightarrow \infty

We need to choose correct option which follows given domain and range.

Only quadratic function will follow the rule because it has even degree polynomial.

Quadratic function: f(x)=ax^2+bx+c

Degree = 2 and leading coefficient is positive.

Domain: x\belong (-\infty,\infty)

Range: y\belong (b,\infty)

Hence, D is correct option.

4 0
4 years ago
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What is the value of the 6 In the number 48.061
irga5000 [103]

Answer:

.06 or six hundredths

Step-by-step explanation:

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4 years ago
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Toxaphene is an insecticide that has been identified as a pollutant in the Great Lakes ecosystem. To investigate the effect of t
Likurg_2 [28]

Answer:

This data suggest that there is more variability in low-dose weight gains than in control weight gains.

Step-by-step explanation:

Let \sigma_{1}^{2} be the variance for the population of weight gains for rats given a low dose, and \sigma_{2}^{2} the variance for the population of weight gains for control rats whose diet did not include the insecticide.

We want to test H_{0}: \sigma_{1}^{2} = \sigma_{2}^{2} vs H_{1}: \sigma_{1}^{2} > \sigma_{2}^{2}. We have that the sample standard deviation for n_{2} = 22 female control rats was s_{2} = 28 g and for n_{1} = 18 female low-dose rats was s_{1} = 51 g. So, we have observed the value

F = \frac{s_{1}^{2}}{s_{2}^{2}} = \frac{(51)^{2}}{(28)^{2}} = 3.3176 which comes from a F distribution with n_{1} - 1 = 18 - 1 = 17 degrees of freedom (numerator) and n_{2} - 1 = 22 - 1 = 21 degrees of freedom (denominator).

As we want carry out a test of hypothesis at the significance level of 0.05, we should find the 95th quantile of the F distribution with 17 and 21 degrees of freedom, this value is 2.1389. The rejection region is given by {F > 2.1389}, because the observed value is 3.3176 > 2.1389, we reject the null hypothesis. So, this data suggest that there is more variability in low-dose weight gains than in control weight gains.

8 0
3 years ago
I won a sweepstakes and will receive money every week for 52 weeks. The first week, I will receive $500 and every week after tha
krok68 [10]

Answer:

$3100

Step-by-step explanation:

You can determine this by multiplying 52 by 50, because you get 50 dollars for 52 weeks, then add 500 to it, because you get 500 dollars at first. 52 times 50 is equal to 2600, and 2600 + 500 is equal to 3100. You will receive $3100 over the course of 52 weeks.

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