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3 years ago

Does the table shows a proportional relationship

Mathematics

1 answer:

Olenka [21]3 years ago

3 0

Answer:

I would say yes

Step-by-step explanation:

If I'm not right I apologize.

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Find the area of this trapezoid. Be sure to include the correct unit in your answer.14 ft16 ft7 ft17 ft

goblinko [34]

The area of a trapezoid can be found through the formula

$A=\frac{a+b}{2}\cdot h$

where a and b are the bases and h the height, then,

$\begin{gathered} A=\frac{14+7}{2}ft\cdot7ft \\ A=10.5ft\cdot7ft \\ A=73.5ft^2 \end{gathered}$

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2 years ago

Can some one pls help

pshichka [43]

Answer:

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3 years ago

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The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This ex

marissa [1.9K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Temperature (degrees Celsius) : 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

Percent heat loss from beak : 35 36 38 28 41 43 55 46 39 54 45 58 60 56 62 67

Using an online regression calculator ; the regression equation obtained is :

ŷ = 2.0927X + 0.6029

X = independent variable

Y = predicted variable

2.0927 = slope

0.6029 = intercept

B.) temperature = 25

ŷ = 2.0927(25) + 0.6029

= 52.9204

C.) the explained variance is the value of the coefficient of determination (R²) which is the square of the correlation Coefficient

0.8785² = 0.7718

D.) the correlation Coefficient r is 0.8785 using the Coefficient of regression calculator

8 0

3 years ago

A cell phone company offers two texting plans to its customers. The monthly cost, y dollars, of plan A is

dlinn [17]

Answer: plan B is cheaper

Step-by-step explanation:

5 0

3 years ago

I was never good with fractions, could someone help?

tangare [24]

Answer:

Thus, the answer is:

$\left \{ {{x=4} \atop {y=2}} \ \atop {z=-4}} \right$

Step-by-step explanation:

Considering the system of equations

$\left \{ {{x+y+z=2} \atop {4x+y+z=14}} \ \atop {x-y+4z=-14}} \right\}$

Rewrite the system in matrix form and solve it by Gaussian Elimination (Gauss-Jordan elimination)

$\left \{ {{x+y+z=2} \atop {4x+y+z=14}} \ \atop {x-y+4z=-14}} \right\}\rightarrow \left[\begin{array}{ccc}1&1&1:2\\4&1&1:14\\1&-1&4:-14\end{array}\right]$

R2 - 4 R1 → R2 (multiply 1 row by 4 and subtract it from 2 row); R3 - 1 R1 → R3 (multiply 1 row by 1 and subtract it from 3 row)

$\left[\begin{array}{ccc}1&1&1:2\\0&-3&-3:6\\0&-2&3:-16\end{array}\right]$

R2 / -3 → R2 (divide the 2 row by -3)

$\left[\begin{array}{ccc}1&1&1:2\\0&1&1:-2\\0&-2&3:-16\end{array}\right]$

R1 - 1 R2 → R1 (multiply 2 row by 1 and subtract it from 1 row); R3 + 2 R2 → R3 (multiply 2 row by 2 and add it to 3 row)

$\left[\begin{array}{ccc}1&0&0:4\\0&1&1:-2\\0&0&5:-20\end{array}\right]$

R3 / 5 → R3 (divide the 3 row by 5)

$\left[\begin{array}{ccc}1&0&0:4\\0&1&1:-2\\0&0&1:-4\end{array}\right]$

R2 - 1 R3 → R2 (multiply 3 row by 1 and subtract it from 2 row)

$\left[\begin{array}{ccc}1&0&0:4\\0&1&0:2\\0&0&1:-4\end{array}\right]$

Thus, the answer is:

$\left \{ {{x=4} \atop {y=2}} \ \atop {z=-4}} \right$

Make a check:

4 + 2 + (-4) = 4 + 2 - 4 = 2

4·4 + 2 + (-4) = 16 + 2 - 4 = 14

4 - 2 + 4·(-4) = 4 - 2 - 16 = -14

Check completed successfully.

7 0

3 years ago

Does the table shows a proportional relationship￼

Does the table shows a proportional relationship