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2 years ago

13

Please help answer I don’t understand

1 answer:

frez [133]2 years ago

4 0

3 by corresponding angles.
4 by alternate interior angles.
5 by vertical angles.

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Does the table show a direct proportional relationship? If so, what is the constant of proportionality?

lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality ( $k$ ) is described by the following expression:

$k = \frac{y}{x}$ (1)

Where:

$x$ - Input.

$y$ - Output.

If we know that $(x_{1}, y_{1}) = (13, 45.5)$ , $(x_{2}, y_{2}) = (14, 49)$ and $(x_{3}, y_{3}) = (15, 52.5)$ , then the constants of proportionalities of each ordered pair are, respectively:

$k_{1} = \frac{y_{1}}{x_{1}}$

$k_{1} = \frac{45.5}{13}$

$k_{1} = \frac{7}{2}$

$k_{2} = \frac{y_2}{x_2}$

$k_{2} = \frac{49}{14}$

$k_{2} = \frac{7}{2}$

$k_{3} = \frac{y_{3}}{x_{3}}$

$k_{3} = \frac{52.5}{15}$

$k_{3} = \frac{7}{2}$

Since $k_{1} = k_{2} = k_{3}$ , the constant of proportionality is 3.5.

8 0

3 years ago

Researchers are interested in the effect of a certain nutrient on the growth rate of plant seedlings. Using a hydroponics growth

emmainna [20.7K]

Answer:

$\bar{x}=61.98$

Step-by-step explanation:

The sample mean $\bar{x}$ is a point estimate of the population mean μ.

Given the heights of the 6 tomato plants sample below:

55.6, 59.4, 59.9, 62.9, 64.9, 69.2

Point Estimate,

$\bar{x}=\dfrac{55.6+59.4+59.9+62.9+64.9+69.2}{6} \\=\dfrac{371.9}{6} \\\bar{x}=61.98$

4 0

3 years ago

I don’t understand this

Oxana [17]

You have to multiply whats outside the parenthesis with everything that is inside, so

$x^{-3}y^0.(x^2-3x^5y^4)$

$x^{-3}y^0.x^2-x^{-3}y^0.3x^5y^4$

Multiplication of same bases we sum the exponents

$x^{-3+2}y^0-3x^{-3+5}y^{0+4}$

$x^{-1}.1-3x^2y^4$

$x^{-1}-3x^2y^4$

Alternative B.

7 0

3 years ago

Rename 1/5 and 9/10 using the least common denominator

skad [1K]

Answer:

2/10

Step-by-step explanation:

you have to match the bottom number on both fractions then do what ever you did to the top number

so with this to get the 5 to a 10 you have to times it by 2

so you do the same to the 1

3 0

3 years ago

Anna's toy car traveled 0.7 meters. Hector's toy car traveled 0.72 meters. Whose car traveled farther? Select from the drop-down

alexandr402 [8]

Answer:

When you do adding and subtracting with decimals just line up the decimal points and do the math regularly

0.72

-0.7

_____

0.02 meters further so Hector's car traveled farther

0.6

+0.25

_____

0.85 swam in total

Hope this helps

Step-by-step explanation:

3 0

3 years ago