Which are acceptable names for the plane?

Which expression is equal to 3⋅(10+2)+20⋅2

ANEK [815]

Answer:

76

Step-by-step explanation:

When you solve the equation you will do parentheses first (10+2) which equals 12 then you carry everything down. Next you will multiply 3 x 12 to get 36 then you carry the 20 and 2 down. Next you will multiply 20 by 2 to get 40 and then add 36 + 40 to get 76.

3(10+2) +20 x 2

3(12) +20 x 2

36 + 20 x 2

36 + 40

76 : answer

7 0

3 years ago

the blue segment below (7.4) is a diameter of O. what is the length of the radius of the circle. A. 3.7 B. 14.8 C. 11.1 D. 7.4

Salsk061 [2.6K]

Answer:D

Step-by-step explanation:

Not 100%

6 0

3 years ago

Read 2 more answers

Match each equation to the ordered pair that represents one of its solutions. Tiles 3x + 2y = 6 -5x + y = -10 x − 4y = 8 -6x − 5

Orlov [11]

3x + 2y = 6....solution (0,3)

-5x + y = -10...solution (1,-5)

x - 4y = 8...solution (4,-1)

-6x - 5y = 30...solution (0,-6)

4 0

3 years ago

Read 2 more answers

A tournament organizer recorded the number of people in different age groups who participated in the archery tournament. He then

Debora [2.8K]

The total participants were:
30 + 50 + 40 + 10
= 100

Out of which:
30 were 0-19 years old
50 were 20-39 years old
40 were 40-59 years old
10 were 60-79 years old

4 0

4 years ago

Read 2 more answers

A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the

Savatey [412]

Answer:

(A) The reasonable domain to plot the growth function is (0 ≤ n < 5).

(B) The y-intercept of the function is 10 cm. It represents the height of the plant at the beginning of the experiment.

(C) The slope of 0.21 implies that the plant is growing 0.21 cm every day.

Step-by-step explanation:

The equation representing the height of the plant is:

$f (n)=10\cdot (1.02)^{n}$

(A)

It is provided that at the end of the study the height of the plant was approximately 11.04 cm.

Compute the range of values of n as follows:

$f (n)=10\cdot (1.02)^{n}\\11.04 = 10\cdot(1.02)^{n}\\1.104 = 1.02^{n}\\\ln (1.104) = \ln (1.02^{n})\\\ln (1.104) = n \ln (1.02)\\\\n = \frac{\ln (1.104)}{ \ln (1.02)}\\\\n = 4.99630409516\\n\approx 5$

Thus, the reasonable domain to plot the growth function is (0 ≤ n < 5).

(B)

The y-intercept, in this case would represents the height of the plant when they began the experiment.

That is, the y-intercept of the function is the value of f (n) for n = 0.

Compute the value of f (n = 0) as follows:

$f (0)=10\cdot (1.02)^{0}=10$

Thus, the y-intercept of the function is 10 cm. It represents the height of the plant at the beginning of the experiment.

(C)

Compute the values of f (n = 1) and f (n = 5) as follows:

$f (1)=10\cdot (1.02)^{1}=10.2\\\\f (5)=10\cdot (1.02)^{5}=11.0408\approx 11.04$

Compute the average rate of change as follows:

$\text{Average rate of change}=\frac{f(n_{2})-f(n_{1})}{n_{2}-n_{1}}$

$=\frac{11.04-10.20}{5-1}\\\\=\frac{0.84}{4}\\\\=0.21$

Thus, the average rate of change of the function f(n) from n = 1 to n = 5 is 0.21.

The average rate of change is known as the slope of the function. The slope represents how much the plant is growing every day.

Thus, the slope of 0.21 implies that the plant is growing 0.21 cm every day.

7 0

4 years ago