A forest cover 43,000 acres. A survey finds that 0.2% of the forest is old growth tress. How many acres of old growth trees are there?

Answer:

(4,0)

Step-by-step explanation:

when x−3y≥4 is graphed it goes through the point (4,0)

Answer:

  = 2^(3·1/4·1/2) = 2^(3/8)

Step-by-step explanation:

You want to simplify ...

  \(\sqrt{\sqrt[4]{8}}\)

The useful rules of exponents are ...

  \(\sqrt[n]{a}=a^{\frac{1}{n}}\\\\(a^b)^c=a^{bc}\)

Recognizing 8 = 2³, you can use fractional exponents to represent the roots, then simplify the exponent of the result.

  \(\sqrt{\sqrt[4]{8}} = ((2^3)^{\frac{1}{4}})^{\frac{1}{2}}=2^{3\cdot\frac{1}{4}\cdot\frac{1}{2}}=2^{\frac{3}{4\cdot2}}=\boxed{2^{\frac{3}{8}}}\)

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Additional comment

In plain text, this is written 2^(3/8). Both the caret and the parentheses are required.

Answer:

can u plz rewrite the question

The following are the values for the variables in the equation:

(17). m = -8

(18). x = 8

(19). p = 2

(20). x = -10

(17). -13 = m - 15

add 15 to both sides of the equation

15 -13 = m - 15 + 15

-8 = m or m = {-8}

(18). 84 = 6(x + 6)

multiply through with 6 to open bracket

84 = 6x + 36

subtract 36 from both sides

84 - 36 = 6x + 36 - 36

48 = 6x

divide through by 6

6x/6 = 48/6

x = 8

(19). -15 = -5 - 5p

add 5 to both sides of the equation

5 - 15 = 5 - 5 - 5p

-10 = -5p

divide through by -5

-5p/-5 = -10/-5

p = 2

(20). 3 + x/5 = 1

simply the left hand side of the equation with the LCM 5 to have a single denominator

(15 + x)/5 = 1

15 + x = 5 × 1 {cross multiplication}

15 + x = 5

subtract 15 from both sides

15 - 15 + x = 5 - 15

x = -10

Therefore, the values for the variables in the equation are:

(17). m = -8

(18). x = 8

(19). p = 2

(20). x = -10

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The value of the standard deviation of the variance S is equivalent to 250 and the value of the variance (S) is equivalent to 62500.

Given that:

2Ax = 0.08

Ax = 0.2

A fully discrete whole life insurance issued to (x) is 1000.

Firstly we have to find out the value of variance S.

Variance S = (insurance issued)^2 * [2Ax - Ax^2]/(1- Ax)^2

Variance S = (1000)^2 * [0.08 -  0.2^2]/(1- 0.2)^2

Variance S = (1000)^2 * [0.04]/.64

Variance S = (1000)^2 * .0625

Variance S = 62500

Standard deviation of S = (insurance issued) * [\(\sqrt{2Ax - Ax^2}\)]/(1- Ax)

Standard deviation = 1000 * [\(\sqrt{0.08 - 0.2^2}\)]/(1- 0.2)

Standard deviation = 1000 * 0.2/0.8

Standard deviation = 1000 * 1/4 = 250

The value of the standard deviation of the variance S is equivalent to 250 and the value of the variance (S) is equivalent to 62500.

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Answer:

7) no 8) no 9) no 10)yes 11) yes 12) yes 13) k=42 14) c=30 15)a=42

Step-by-step explanation:

Answer:

do you still need help

Step-by-step explanation:

The addition and subtraction rule with significant figures: Round the result to the same decimal place as the measurement with the fewest decimal places.

What is the rule for determining significant figures in addition and subtraction?

When performing addition or subtraction calculations with measurements, it is important to consider the number of decimal places in the numbers involved.

The rule states that the result of the calculation should be rounded to the same decimal place as the measurement with the fewest decimal places.

For example, let's consider the addition of 53.5 and 46.5. The measurement with the fewest decimal places is 46.5, which has one decimal place.

Therefore, the result of the addition should also be rounded to one decimal place, giving us 100.0.

In this case, the sum of 53.5 and 46.5 would have three significant figures, as it is determined by the measurement with the fewest significant figures (46.5) which has three significant figures.

By applying the addition and subtraction rule with significant figures, we ensure that the precision of the result aligns with the least precise measurement involved in the calculation.

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Answer: X= -2

Step-by-step explanation: -3x -11 = -17

 add 11 to both sides

 which gives you -6 then you divide by negative 3x which gives you -2

Answer:

Step-by-step explanation:

3x - 11 = -17

3x - 11 + 11 = -17 +11

Simplify:

add the numbers
3x = -6

Divide both sides by the same factor:

\(\frac{3x}{3} = \frac{-6}{3}\)

Simplify (ANSWER):

x= -2

Answer:

The height is 5 cm.

Step-by-step explanation:

a = 1/2(\(base_{1}\) + \(base_{2}\))h

27.5 = 1/2(7+ 4) h

27.5 = 1/2 (11) h

27.5 = 5.5 h  Divide both sides by 5.5

5 = h

Answer:

5cm

Step-by-step explanation:

Given ,

To Find : The height of the Trapezoid

In order to find the height of the trapezoid we

\(27.5 = \frac{1}{2} X ( 7+4)h\)

\(27.5X2 = 11 X h\)

\(55 = 11h\\\frac{55}{11}= h\\ 5 = h\)

Hence, the height of the trapezoid is 5cm

Answer: Solving x2 - 4x - 7 = 0 by completing the square, the solutions are x = ±√11 + 2.

Step-by-step explanation:

The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:

y^2 / 25 - x^2 / a^2 = 1

where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.

Thus, the equation for the hyperbola is:

y^2 / 25 - x^2 / (400/9) = 1

or

9y^2 - 400x^2 = 900

The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.

To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.

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parallel accroding to the mid point theorems.

To graph the feasible region for the system of inequalities x - 3y ≥ 6 and 3x + y ≤ 6, we need to graph the boundary lines for each inequality and then determine the overlapping region that satisfies both conditions.

Let's start with the first inequality, x - 3y ≥ 6. We can rewrite it as x ≥ 3y + 6. To graph this line, we can find two points on the line by setting x = 0 and y = 0, and then connecting these points. So, when x = 0, we have 0 ≥ 3y + 6, which gives y = -2. When y = 0, we have x ≥ 6. Plotting these points and drawing the line, we get a solid line extending to the right.

Next, let's consider the second inequality, 3x + y ≤ 6. To graph this line, we can again find two points on the line by setting x = 0 and y = 0. So, when x = 0, we have y ≤ 6, and when y = 0, we have 3x ≤ 6, which gives x ≤ 2. Plotting these points and drawing the line, we get a solid line extending downward.

Now, we can shade the region that satisfies both inequalities. The overlapping region is the feasible region. In this case, the feasible region will be the region below the line x - 3y = 6 and above the line 3x + y = 6. It will be bounded by these two lines and extend indefinitely in the region that satisfies both conditions.

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Answer: Let the side length of the square rug be x, and the dimensions of the rectangular rug be l and w.

In the first arrangement, the three rugs are arranged side by side, with the rectangular rugs aligned vertically and the square rug aligned horizontally. The length of this arrangement is l + 2x, and the width is w. We know that the length is 3 times the width, so we can write:

l + 2x = 3w

In the second arrangement, the two rectangular rugs are arranged side by side, with the square rug placed on top. The length of this arrangement is l, and the width is w + x. We know that the length is twice the width, so we can write:

l = 2(w + x)

We now have two equations with two unknowns, l and w:

l + 2x = 3w

l = 2(w + x)

Substituting the second equation into the first, we get:

2(w + x) + 2x = 3w

4x = w

Substituting this value of w into the second equation, we get:

l = 2(4x) = 8x

So the dimensions of the rectangular rug are 4x by x, and the dimensions of the square rug are x by x.

To find the value of x, we use the measurements given in the diagram:

l + 2x = 60

l = 36

Substituting into the equation l = 2(w + x), we get:

36 = 2(4x + x)

36 = 10x

x = 3.6

So the side length of the square rug is 3.6 feet.

Step-by-step explanation:

Answer:

Step-by-step explanation:

this is so confusing

Therefore, the correct inequality to find the domain is simply x - 3 < 0, which simplifies to x < 3.

To find the domain of a function, we need to determine all the values of the independent variable (usually represented by x) that the function is defined for. In this case, the function is defined as f(x) = x - 3, which means we can plug in any value of x into the expression x - 3 to get a corresponding value of f(x).

However, there are some values of x that would cause the expression x - 3 to be undefined. For example, if we were trying to find f(x) when x = 2, we would get f(2) = 2 - 3 = -1, which is a valid output. But if we were trying to find f(x) when x = 3, we would get f(3) = 3 - 3 = 0/0, which is undefined.

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Answer:

No thanks give me my points back ;)

Step-by-step explanation:

The magnitude of the cross product between vectors a and b is 14.93 units squared. The dot product between vectors a and b is 36.73 units. The dot product between the sum of vectors a and b and vector b is 50.27 units.

(a) To find the magnitude of the cross product between vectors a and b, we can use the formula ∣a × b∣ = ∣a∣ ∣b∣ sin(θ), where θ is the angle between the two vectors. Since vectors a and b are given in the component form, we can calculate the cross-product as follows:

a × b = (5.7 * 5.5 - 3.4 * 2.9) k^ = 14.93 k^, where k^ is the unit vector along the z-axis.

Therefore, ∣a × b∣ = 14.93 units squared.

(b) The dot product between vectors a and b is given by a ⋅ b = (5.7 * 2.9) + (3.4 * 5.5) = 36.73 units.

(c) To find the dot product between the sum of vectors a and b and vector b, we first calculate the sum of vectors a and b:

a + b = (5.7 + 2.9) i^ + (3.4 + 5.5) j^ = 8.6 i^ + 8.9 j^

Then, we take the dot product between the sum of vectors a and b and vector b:

(a + b) ⋅ b = (8.6 * 2.9) + (8.9 * 5.5) = 50.27 units.

(d) The component of vector a along the direction of vector b can be found by taking the dot product of vectors a and b and dividing it by the magnitude of vector b:

Component of a along b = (a ⋅ b) / ∣b∣ = 36.73 / √\(((2.9)^2 + (5.5)^2)\) = 2.44 units.

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Answer:

Step-by-step explanation:

1

155

Answer:

\( \huge{ \orange{y + 3 = 2(x + 7)}}\)

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

\(y - y_1 = m(x - x_1) \\ \)

where

m is the slope

( x1 , y1) is the point

From the question we have

\(y - - 3 = 2(x - - 7) \\ y + 3 = 2(x + 7)\)

Hope this helps you

The pair of figures having same volume are:

a. The cylinder has a radius of 3 units and a height of 8 units ; The cone has a radius of 6 units and a height of 6 units.

b. The cone has a radius of 8 units and a height of 9 units ; The cylinder has a radius of 4 units and a height of 12 units.

c. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units ; The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units.

What is volume of a figure?

Volume is a unit of measurement for three-dimensional space. It is usually stated quantitatively in terms of a number of imperial or US-standard units as well as SI-derived units.

i. The cone has a radius of 4 units and a height of 12 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(4^{2} \frac{12}{3}\)

⇒ Volume = 64 π

⇒ Volume = 201 cubic units

ii. The rectangular prism has a length of 18 units, a width of 6 units, a height of 6 units.

⇒ Volume = length * width * height

⇒ Volume = 18 * 6 * 6

⇒ Volume = 648 cubic units

iii. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units.

⇒ Volume = length * width * height

⇒ Volume = 16 * 6 * 6

⇒ Volume = 576 cubic units

iv. The cylinder has a radius of 3 units and a height of 8 units.

⇒ Volume = π\(r^{2}\)h

⇒ Volume = π\(3^{2}\) * 8

⇒ Volume = 72 π

⇒ Volume = 226 cubic units

v. The cone has a radius of 8 units and a height of 9 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(8^{2} \frac{9}{3}\)

⇒ Volume = 192 π

⇒ Volume = 603 cubic units

vi. The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units.

⇒ Volume = length * width * height

⇒ Volume = 8 * 8 * 9

⇒ Volume = 576 cubic units

vii. The cylinder has a radius of 4 units and a height of 12 units.

⇒ Volume = π\(r^{2}\)h

⇒ Volume = π\(4^{2}\) * 12

⇒ Volume = 192 π

⇒ Volume = 603 cubic units

viii. The cone has a radius of 6 units and a height of 6 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(6^{2} \frac{6}{3}\)

⇒ Volume = 72 π

⇒ Volume = 226 cubic units

Hence, three pairs have the same volume.

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The missing figures have been attached below.

If the alternative hypothesis is that the proportion of items in population 1 is larger than the proportion of items in population 2, then the null hypothesis should be that there is no significant difference in the proportion of items between population 1 and population 2.

Based on the information provided, the null hypothesis should be:

The null hypothesis is that the proportion of items in population 1 is less than or equal to the proportion of items in population 2.

This is denoted as H₀: P₁ ≤ P₂. The alternative hypothesis, as you mentioned, is that the proportion of items in population 1 is larger than the proportion of items in population 2, which is represented as H₁: P₁ > P₂.

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Answer:

60 minutes make an hour

Step-by-step explanation:

Because 1 hour = 60 minutes

The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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Answer:

Gia has 85 beads in the end

Step-by-step explanation:

28+17 beads = 45 beads

94 beads - 45 beads = 49 beads

49 beads + 36 beads = 85 beads