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3 years ago

Simplify 3(2a - y) - 4(2y - a).

Mathematics

2 answers:

Nadya [2.5K]3 years ago

4 0

Answer:

10a - 11y

Step-by-step explanation:

3(2a - y) - 4(2y - a)

open the parenthesis

6a - 3y - 8y + 4a

combine like terms

6a + 4a - 3y - 8y

10a - 11y

uranmaximum [27]3 years ago

3 0

The answer would be 10a-11y

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A figure is dilated by a scale factor of 2.5. If the origin is the center of

katen-ka-za [31]

Answer:

Step-by-step explanation:

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3 years ago

Figure ABCD is a parallelogram.

kobusy [5.1K]

Answer:

First prove Triangle ABC is congruent to Triangle CDA, and then state AD and BC are corresponding sides of the triangles.

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1 year ago

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Zina [86]

Answer: The area of Figure ABCDE is 79.5 square units.

Step-by-step explanation:

Triangle ABC is the top triangle of Figure ABCDE.

Triangle ACD is the triangle on the right of Figure ABCDE.

Triangle AED is the triangle on the bottom left of Figure ABCDE.

So, we need to add 23.85, 29.4, and 26.25 to get the area of Figure ABCDE!

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2 years ago

A cooler has a temperature of 32 degrees Fahrenheit. A bottled drink is placed in the cooler with an initial temperature of

FinnZ [79.3K]

Answer:

$k \approx 0.44$

Step-by-step explanation:

Given function:

$f(t) = (ce)^{-kt}+32$

As per question statement:

Initial temperature of bottle is 70 $^\circ F$ .

i.e. when time = 0 minutes, f(t) = 70 $^\circ F$

$70 = ce^{-k\times 0}+32\\\Rightarrow 38 = ce^{0}\\\Rightarrow c = 38$

After t = 3, f(t) = 42 $^\circ F$

$42 = 38 \times e^{-k\times 3}+32\\\Rightarrow 42-32 = 38 \times e^{-3k} \\\Rightarrow 10 = 38 \times e^{-3k} \\\Rightarrow e^{3k} = \dfrac{38}{10}\\\Rightarrow e^{3k} = 3.8\\\\\text{Taking } log_e \text{both the sides:}\\\\\Rightarrow log_e {e^3k} = log_e {3.8}\\\Rightarrow 3k \times log_ee=log_e {3.8} (\because log_pq^r=r \times log_pq)\\\Rightarrow 3k \times 1=log_e {3.8}\\\Rightarrow 3k = 1.34\\\Rightarrow k = \dfrac{1.34}{3}\\\Rightarrow k \approx 0.44$

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$k \approx 0.44$

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3 years ago

Find the mean of the following data set. 8, 5, 15, 12, 10 12.5 10 14 50

cluponka [151]

Answer:

Step-by-step explanation:

8+5+15+12+10= 50 / 5 = 10

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3 years ago