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jonny [76]
3 years ago
7

A student collects data on the amount of water w, in ounces, and the amount of soda s, in ounces, that a random sample of people

drink each day. She finds that there is a negative linear relationship between the variables that is best modeled by the equation w=−1.4s+16.8 . for each additional ounce of soda that people drink each day, the model predicts, a decrease or increase? which is which of the follwoing 1.4, 15.4 or 16.8 in the number of ounces of water they drink each day
Mathematics
1 answer:
jekas [21]3 years ago
4 0
1.4 and there was a decrease in the slope.
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Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,.to find the following:
Rasek [7]
a)\\\\
a_{n+1}-a_n=d\\
for\ n=1\\
a_2-a_1=d\\
d=3-1=2\ - difference\ between\ two\ consecutive\ terms\\\\
b)\\
a_n=a_1+(n-1)d\\
n=101\\
a_{101}=1+(101-1)*2\\
a_{101}=1+100*2=200+1=201\\\\
c)\\
Sn=\frac{a_1+a_n}{2}*n\\
n=20\\
a_n=a_{20}=1+(20-1)*2=1+38=39\\
Sn=\frac{1+39}{2}*20=400\ \ Sum\ of\ the\ first\ 20 \ numbers.
6 0
3 years ago
Nathan deposited 7/9 of his allowance into his savings account. He spent the remaining amount, or $2.50. How much did Nathan dep
inysia [295]
2/9=2.50
Allowence=2.50x9 divided by which gives you an answer of 11.25
Hope this helps you!
4 0
3 years ago
Are the figures below similar? Why or why not? Determine whether the triangles shown in the image are similar.
Vika [28.1K]

Answer:

B) no, because the corresponding angles are not congruent

Step-by-step explanation:

Similar triangles must have proportional sides, as well as congruent corresponding angles. In this instance, we can see that the angles are not <em>congruent</em>, and so there is no need to solve for proportion.

~

3 0
3 years ago
Read 2 more answers
22. A storage container is shaped like a rectangular prism. The volume of the container is1,360 cubic feet. The area of the base
Dovator [93]

The volume of the rectangular prism is

V=B\times H

Where:

B is the base area

H is the height

Since the base area is 160 feet^2

Since the volume is 1360 feet^3

Substitute them in the rule above

\begin{gathered} 1360=160\times H \\ 1360=160H \end{gathered}

Divide both sides by 160 to find H

\begin{gathered} \frac{1360}{160}=\frac{160H}{160} \\ 8.5=H \end{gathered}

The height of the container is 8.5 feet

4 0
1 year ago
Write the equation in point-slope form of the line that passes through (1, 4) and has a slope of 4/3
suter [353]

Answer:

y - 4 = (4/3)(x - 1)

Step-by-step explanation:

point slope form is

y - y1 = m(x - x1)

m is the slope

(x1, y1) is a point on the line

----------------------------

for m = 4/3 and (x1, y1)  = (1, 4)

y - 4 = (4/3)(x - 1)

6 0
3 years ago
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