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3 years ago

Milk is sold by the liter in many countries. what is the volume of exactly 1/2 gal of milk in liters?

Mathematics

1 answer:

liraira [26]3 years ago

4 0

1/2 gallon of milk is approx. 1.892 liters

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Choose the numbers that are terminating decimals. Select all that apply.

horsena [70]

Answer: A, C, and D

Step-by-step explanation:

A terminating decimal is a decimal that has an end. In other words, $\frac{1}{4} =0.25$ is one, but $\frac{1}{3} =0.3333...$ is not.

✓ A. 0.032

✗ B. 0.999...

✓ C. 0.525

✓ D. 0.75

3 0

2 years ago

Decimals greater than 7.0 but less than 13.0 use an interval of 0.6 between each pair of decimals

KiRa [710]

7.6, 8.2, 8.8, 9.4, 10.0, 10.6, 11.2, 11.8, 12.4

7 0

3 years ago

How does the graph of f(x)=3lx+2l+4 relate to its parent function?

Sergeeva-Olga [200]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\

\begin{array}{rllll} 
% left side templates
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}$

$\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\end{array}$

$\bf \begin{array}{llll}


\bullet \textit{ vertical shift by }{{ D}}\\
\qquad if\ {{ D}}\textit{ is negative, downwards}\\\\
\qquad if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}
\end{array}$

now, with that template above in mind, let's see this one

$\bf parent\implies f(x)=|x|
\\\\\\
\begin{array}{lllcclll}
f(x)=&3|&1x&+2|&+4\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}$

A=3, B=1, shrunk by AB or 3 units, about 1/3
C=2, horizontal shift by C/B or 2/1 or just 2, to the left
D=4, vertical shift upwards of 4 units

check the picture below

7 0

3 years ago

Write down the first five terms of the geometric progression with

Vilka [71]

Step-by-step explanation:

s1 = 3

s2 = 3×2 = 6

s3 = 6×2 = 12

s4 = 12×2 = 24

s5 = 24×2 = 48

sn = sn-1 × 2 = s1 × 2^(n-1)

s17 = 3 × 2¹⁶ = 3 × 65,536 = 196,608

7 0

3 years ago

Does anyone know the answer to this? <br> 40y^3-8y^2+16y/8y^2

soldi70 [24.7K]

Simplify: 40y^3 - 8y^2 + 16y/8 y^2
40y^3 + -8y^2 + 2y^3

Combine terms: 40y^3 + -8y^2 + 2y^3
(40y^3 + 2y^3) + (-8y^2)

Answer: 42y^3 + -8y^2

4 0

3 years ago