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3 years ago

6

A lumberjack found 280 trees on a 1.5-acre plot ready for harvest. On the west side, he found 260 trees on a 1.9-acre plot. Whic

h plot has a greater rate of harvest-ready trees per acre?

1 answer:

ale4655 [162]3 years ago

6 0

Answer:

280 trees on a 1.5 acre plot

Step-by-step explanation:

It has more trees with less acres already without any calculations.

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Triangle ABC is shown below.<br> What is the length of line segment AC?

Rzqust [24]

Answer:

The length of the line segment AC is equal to 14

Step-by-step explanation:

The triangle above is an isosceles triangle, In an Isosceles triangle the two angles; B and C are the same, hence the two sides; AB and AC are also the same.

AB=2x and AC= 3x - 7

AB = AC

which implies;

2x = 3x - 7

subtract 3x from both-side of the equation

2x - 3x = 3x -3x -7

-x = -7

Multiply through by -1

x = 7

But we were ask to find the the length of the line segment AC

AC = 3x - 7

substituting x = 7 into the above equation will yield;

AC = 3(7) - 7 = 21 - 7 =14

Therefore the length of the line segment AC is equal to 14

3 0

4 years ago

Please help with areas

Softa [21]

Answer:

Step-by-step explanation:

7) The formula for determining the area of a parallelogram is expressed as

Area = base × height.

Length of base = Area/height

Therefore,

Length of base = 7/2 = 3.5 feet

8) The formula for determining the area of a trapezoid is expressed as

Area = 1/2(a + b)h

Where

a and b are the length of the bases

h is the height. Therefore

21 = 1/2(2 + 4)h

21 = 3h

h = 21/3 = 7 inches

9) Area = base × height.

Height = Area/Length of base

Height = 28/14 = 2 inches

10) a and b are 10 inches each.

Area = 1/2(a + b)h

Therefore,

35 = 1/2(10 + 10)h

35 = 10h

h = 35/10

h = 3 inches

7 0

3 years ago

What function is increasing? will give brainlist !

Wewaii [24]

Answer:

Option B.

Step-by-step explanation:

Option A.

f(x) = $(0.5)^{x}$

Derivative of the given function,

f'(x) = $\frac{d}{dx}(0.5)^x$

= $(0.5)^x[\text{ln}(0.5)]$

= $-(0.693)(0.5)^{x}$

Since derivative of the function is negative, the given function is decreasing.

Option B. f(x) = $5^x$

f'(x) = $\frac{d}{dx}(5)^x$

= $(5)^x[\text{ln}(5)]$

= $1.609(5)^x$

Since derivative is positive, given function is increasing.

Option C. f(x) = $(\frac{1}{5})^x$

f'(x) = $\frac{d}{dx}(\frac{1}{5})^x$

= $\frac{d}{dx}(5)^{(-x)}$

= $-5^{-x}.\text{ln}(5)$

Since derivative is negative, given function is decreasing.

Option D. f(x) = $(\frac{1}{15})^x$

f'(x) = $-15^{-x}[\text{ln}(15)]$

= $-2.708(15)^{-x}$

Since derivative is negative, given function is decreasing.

Option (B) is the answer.

7 0

3 years ago

Richard was earning $10/hr working for Diane’s landscaping company. Diane said that productivity was decreasing, so everyone had

pentagon [3]

Answer:

Richard is making $9.6 per hour now

Step-by-step explanation:

Given:

Initial amount Richard was earning = $10/hr

Due to lass in productivity 20% pay was cut

Amount Richard was earning after 20% pay cut = $8/hour.

After few again due to increase in productivity Diane gave a 20% raise.

To Find:

How much is Richard making now = ?

Solution:

Let the amount that Richard is making now be x

Then

x = 8+ 20% of 8

x = $8 + \frac{20}{100} \times 8$

x = $8 + 0.2 \times 8$

x = $8 + 1.6$

x = 9.6

8 0

3 years ago

a bracelet was marked up $30 from cost which amount to a 50% increase. Find the original cost of the bracelet

Ne4ueva [31]

$$60, because-50/100=30/?-and-30/50=0.6. So-?=60$

4 0

3 years ago