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

Answer: 8.50 dollars

The result is positive, so this is a gain (instead of a loss)

====================================

Explanation:

Focus on the "stock JKL" row only when it comes to the percentages we'll use. We need to convert them to decimal form

15% ---> 0.15

65% ---> 0.65

20% ---> 0.20

I just moved the decimal point over 2 spots, or you can divide by 100 (eg: 15% = 15/100 = 0.15)

Multiply each of these values by their corresponding loss or gain. Use negative numbers for losses

15% chance of losing $25 ---> 0.15*(-25) = -3.75

65% chance of winning $5 ---> 0.65*(5) = 3.25

20% chance of winning $45 ---> 0.20*(45) = 9

Now add up those results: -3.75+3.25+9 = 8.50

Answer:

(a) A system of equations:

[tex]0.38x+1.56y = 24.80[/tex]  

[tex]x+y = 28[/tex]

(b) Number of blocks were in the order is, 12

Step-by-step explanation:

(a)

Let x represents the number of bricks and y represents the number of blocks.

As per the given statement:

A bricks costs $ 0.38 and a block costs $1.56.

Total  bricks costs = 0.38x and total block costs = 1.56y

The brickyard filled $24.80 order.

⇒ [tex]0.38x+1.56y = 24.80[/tex]                          ......[1]

Since, it contained 28 items.

⇒[tex]x+y = 28[/tex]                                               ....[2]

Multiply equation [2] both sides by 0.38 we have;

[tex]0.38(x+y) = 0.38 \times 28[/tex]

Using distributive property: [tex]a\cdot (b+c) = a\cdot b + a\cdot c[/tex]

0.38x +0.38 y = 10.64                                        ......[3]

Subtract equation [3] from [1] to get x eliminated ;

[tex]0.38x+1.56y -0.38x -0.38y= 24.80 - 10.64[/tex]  

Combine like terms;

1.18y =14.16

Divide both sides by 1.18 we have;

[tex]\frac{1.18y}{1.18} = \frac{14.16}{1.18}[/tex]

Simplify:

[tex]y = 12[/tex]

Substitutes this y value in equation [2] to solve for x;

x + 12= 28

Subtract 12 from both sides we get;

x +12-12 =28-12

Simplify:

x = 16

Therefore, a system of equations that can be used to find the number of bricks and the number of blocks in the order:

[tex]0.38x+1.56y = 24.80[/tex]  

[tex]x+y = 28[/tex]

(b)

The number of blocks are in order(y), is  12.

Answer: x=9

Step-by-step explanation:

First, you should multiply 11.75 by 4 to include the shirts that Jolene needs to buy. then, add 11.75x to the equation and it should look like this:

Next, subtract 47 on each side of the equation.

Finally, divide each side by 11.75. Keep in mind that x isn't the only variable you can use.

You should get x=9, which is the number of shirts Keith can buy.

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Answer:

9 quarters and 12 nickles

Step-by-step explanation:

9 quarters = $2.25

12 nickles = .60

$2.25 + .60 = 2.85

12 is 3 more than 9

If a, b and c are the lengths of the sides of a triangle then

if a ≤ b ≤ c, then a + b > c.

1. a ≤ 3 ≤ 8 then a + 3 > 8 → a > 8 - 3 → a > 5 FALSE, because a ≤ 3.

2. 3 ≤ a ≤ 8 then 3 + a > 8 → a > 5 therefore  5 < a ≤ 8

3. 3 ≤ 8 ≤ a then 3 + 8 > a → 11 > a → a < 11 therefore 8 ≤ a < 11.

The range of possible links for the third side s is 5 < s < 11

A triangle is a polygon with three sides , three vertices and three angles.

It is known that if a, b and c are the lengths of the sides of a triangle and

then

a + b > c  

b+c > a  

c+a > b

Then the length of the third side lies between

8-3 < s < 8+3

5 < s < 11

Therefore the range of possible links for the third side s is 5 < s < 11

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Brainly keeps saying that my answer contains inappropriate words.

It doesn't!!!

I'll try again.

The midpoint of line segment MN with endpoints M (6, 14) and N (-4, -4) can be calculated using the formula: ( (x1 + x2) / 2, (y1 + y2) / 2 ) which gives the midpoint coordinates as (1, 5).

In order to find the midpoint of a line segment in a 2-dimensional space, you can use the midpoint formula: ( (x1 + x2) / 2, (y1 + y2) / 2 ). For the given endpoints M (6, 14) and N(-4, -4), substitute the respective values into the formula:

X-Midpoint = (6 + -4) / 2 = 1

Y-Midpoint = (14 + -4) / 2 = 5

Thus, the coordinates of the midpoint of segment MN are (1, 5).

Note: The reference information provided does not apply to this question as it seems to be talking about different points and using the slope matrix, not the midpoint formula.

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Answer:

The measure of <Q is 44.4 degrees. The measure of <T is 44.4 degrees These both mean that they are congruent. I hope this helps

Step-by-step explanation:

180-(98+37.6)=44.4

Answer:

88 ft^2

Step-by-step explanation:

To find the surface area of a rectangular figure

SA = 2(lw+lh+hw)

where l=length, w= width, h = height

let  l=6, h=2, w=4

SA = 2(lw+lh+hw)

     = 2 (6*4+ 6*2+ 2*4)

      =2 (24+12+8)

        =2 (44)

        = 88

SA = 88 ft^2

[ Answer ]

88 Ft^2

[ Explanation ]

- Formula for area of a rectangular prism -

A = 2(w * l + h * l + h * w)

In other words:

Area = width times length + height times length + height times width * 2

- Width times length -

4 * 6 = 24

- Height times length -

2 * 6 = 12

- Height Times Width -

2 * 4 = 8

- Add -

24 + 12 + 8 = 44

- Multiple By 2 -

44 * 2 = 88

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Answer:

The center is at (5, -3) and the radius is 5

Step-by-step explanation:

The equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2

Where (h,k) is the center of the circle and r is the radius of the circle.

(x - 5)2 + (y + 3)2 = 25

Rewriting the equation

(x - 5)2 + (y -  -3)2 = 5^2

The center is at (5, -3) and the radius is 5

Answer:

The answers are as follows:

2 Green = 25%

2 Red = 4%

1 Black 1 Green = 15%

1 Green 1 Red = 10%

Step-by-step explanation:

In order to find any of these, we first have to find the probability of pulling any of them individually. To find that, we simply divide the number of marbles by the total in the jar.

Green = 5/10 = 50%

Black = 3/10 = 30%

Red = 2/10 = 20%

Now to find any combination, simply multiply the percentages together. For instance, for 1 black and 1 green, multiply those percentages together.

Black * Green

30% * 50% = 15%

You can do this for any number of combinations

s in the expression s • (16) = 2.5  represents the speed in miles per hour.

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

here,
A theme park has a tram that goes around the 2.5-mile perimeter of the park in 10 minutes.
So,
Speed = 2.5 miles / 10 minutes

Since, 1 hour = 60 minutes,
And 1 minute = 1/60 hours,

Now, converting the unit of speed of tram from miles per minute to miles per hour where,
Speed = 2.5 miles / 10 (1/60 hours)
Speed = s (say)

s = 2.5/ (1/6)
s (1/6) = 2.5

hence, s in the above expression represents the speed.

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Final answer:

The symbol 's' in the equation represents the speed of the tram in miles per minute

Explanation:

The student's question involves solving for the speed s of a tram that goes around the perimeter of a theme park. The equation provided is s (16) = 2.5, where s represents the speed of the tram in miles per minute. To find the value of s, we need to divide both sides of the equation by 16, which yields:

s = 2.5 / 16

Now, performing the division gives us:

s = 0.15625

Therefore, the speed of the tram is 0.15625 miles per minute.

Answer:

Step-by-step explanation:

First of all, par and odd functions have their graphic particularities.

Specificially, if the grade of the polynomial is pair, then the function has a symmetric graph, the curve will have a returning point, like the parabola. On the other and, if the grade of the polynomial is odd, then the graph of the function won't have an symmetry like pair ones, and it won't have a returning points like parabolas

So, in this case, the raph doesn't have a returning point like a parabola or an U movement, that means possible answers are A and B.

Choice B cannot be the answer because the negative sign in the first term indicates a reflection accros the vertical axis, and the graph is showing an original function.

Therefore, the right answer is A. [tex]F(x)=2x^{9} -4x^{2} +4[/tex]

The augmented matrix is ...

[tex]\left[\begin{array}{ccc|c}0&-2&7&10\\9&5&0&1\\2&0&1&-5\end{array}\right][/tex]

Missing variables essentially have a coefficient of zero. Coefficients are listed in the same order in each row, and the matrix is "augmented" by the column of constants on the right side of each equation.

Answer:

0, -2, 7, 10

9,  5,  0,  1

2,  0,  1,  -5

Step-by-step explanation:

Answer:

the maximum height is 1054.500 meters

Step-by-step explanation:

h ( t ) = − 4.9t^2 + 133t + 152

a= -4.9 , b= 133  and c= 152

To find maximum height , we find vertex

[tex]x= \frac{-b}{2a}=\frac{-133}{2(-4.9)}= 13.5714 [/tex]

Now plug in 13.5714 for 't' in h(t)

[tex]h(t) =-4.9t^2 + 133t + 152[/tex]

[tex]h(t)=-4.9( 13.5714)^2 + 133( 13.5714)+ 152=1054.500[/tex]

the maximum height = 1054.500 meters

The maximum height of the drone is approximately 1347.174 meters.

To find the maximum height of the drone, we need to find the vertex of the quadratic function h(t) = -4.9t^2 + 133t + 152. The vertex of a quadratic function in the form f(t) = at^2 + bt + c is given by the coordinates (t, f(t)) where t = -b/2a and f(t) is the maximum value.

Plugging in the values from our function, we have t = -133/(2*(-4.9)) = 13.67347. Substituting this value of t back into the function, we get h(13.67347) = -4.9*(13.67347)^2 + 133*(13.67347) + 152 = 1347.174 meters. Therefore, the maximum height of the drone is approximately 1347.174 meters.

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Answer:

I think c is the answer.

Step-by-step explanation:

Answer:

4. x=2 y=3

5. x=-3, y=-6

6. x=0, y=6.5

Step-by-step explanation:

A system of equations is 2 or more equations for which the same x,y solution exists. We can solve the system in three ways: elimination, substitution, or graphing. To use substitution, we substitute a equivalent expression in for a variable and solve for the remaining variable. We then substitute again to find the other variable.

y=5x-7  & -3x-2y=-12

We will input for y, the expression 5x-7 into -3x-2y=-12. We will then isolate x to solve for it using inverse operations.

-3x-2(5x-7)=-12

-3x-10x+14=-12

-13x+14=-12

-13x+14-14=-12-14

-13x=-26

x=2

We substitute back in now to solve for y. y=5(x)-7=5(2)-7=10=7=3

-4x+y=6  & -5x-y=21

We will input for y, the expression 6+4x into -5x-y=21. We will then isolate x to solve for it using inverse operations.

-5x-(4x+6)=21

-5x-4x-6=21

-9x-6=21

-9x-6+6=21+6

-9x=27

x=-3

We substitute back in now to solve for y. y=4(x)+6=4(-3)+6=-12+6=-6

-7x-2y=-13  & x-2y=-13

We will input for x, the expression 2y-13 into -7x-2y=-13. We will then isolate y to solve for it using inverse operations.

-7(2y-13)-2y=-13

-7(2y)+-7(-13)-2y=-13

-14y+91-2y=-13

-16y+91=-13

-16y+91-91=-13-91

-16y=-104

y=6.5

We substitute back in now to solve for x. x=2y-13=2(6.5)-13=13-13=0.

Answer: [tex]83\dfrac{1}{3}\ \text{days}[/tex]

Step-by-step explanation:

[tex]\dfrac{40\ \text{yards} \cdot \ 25\ \text{yards} }{12\ \text{yards}^2} = \dfrac{1000\ \text{yards}^2}{12\ \text{yards}^2}=\dfrac{1000}{12}=\dfrac{250}{3}=83\dfrac{1}{3}[/tex]

Answer:

Formula for the area of a rectangle

Your welcome:) TTM

Answer:

The Answer is c) 6

Step-by-step explanation:

Solve for x:

5 (x - 3) + 7 = 22

5 (x - 3) = 5 x - 15:

5 x - 15 + 7 = 22

Grouping like terms, 5 x - 15 + 7 = 5 x + (7 - 15):

5 x + (7 - 15) = 22

7 - 15 = -8:

5 x + -8 = 22

Add 8 to both sides:

5 x + (8 - 8) = 8 + 22

8 - 8 = 0:

5 x = 22 + 8

22 + 8 = 30:

5 x = 30

Divide both sides of 5 x = 30 by 5:

(5 x)/5 = 30/5

5/5 = 1:

x = 30/5

The gcd of 30 and 5 is 5, so 30/5 = (5×6)/(5×1) = 5/5×6 = 6:

Answer:  x = 6

Answer:

x=6

Step-by-step explanation:

7 + 5(x - 3) = 22

The first step is to distribute the 5

7+ 5x-5*3 =22

7+ 5x-15 =22

Combine like terms

5x-8 =22

Add 8 to each side

5x-8+8 =22+8

5x = 30

5x/5 = 30/5

x=6

Answer:

711,042,207 is the standard form.

Step-by-step explanation:

The expanded form can be compressed by simply adding the numbers together. When you add each of these together, you get the number above.

Answer:

$44.15 spend by tyrell if he buys the regular school lunch 9 days and buys ala carte 4 days .

Step-by-step explanation:

As given

When Tyrell buys the regular school lunch he spends $2.75.

On some days he buys ala carte he spends $4.85.

Tyrell buys the regular school lunch 9 days and buys ala carte 4 days.

Than

Tyrells spends money when he buys regular school lunch 9 days and ala carte 4 days = 9 × 2.75 + 4 × 4.85

                    = 24.75 + 19.4

                    = $44.15

Therefore $44.15 spend by tyrell if he buys the regular school lunch 9 days and buys ala carte 4 days .

9.

[tex]\begin{array}{c|c}\underline{Statement}&\underline{Reason}\\1. SJ=FJ&\text{1. Given}\\2.KS=3, KF=3&\text{2. Given}\\3.KS=KF&\text{3. Transitive Property}\\4.\angle SJK = \angle FJK&\text{4. Congruent sides }\\5.JK=JK&\text{5. Reflexive Property}\\6. \triangle SJK \cong \triangle FJK&\text{6. Side-Angle-Side Theorem}\\\end{array}[/tex]

10.

[tex]\begin{array}{c|c}\underline{Statement}&\underline{Reason}\\1.MA || TH&\text{1. Given}\\2. \angle MAX \cong \angle THX&\text{2. Alternate Interior Angles}\\ \text{3. x is midpoint of AH}&\text{3. Given}\\4.AX \cong HX&\text{4. Deefinition of midpoint}\\5. \angle AXM \cong \angle HXT&\text{5. Vertical angles}\\6. \triangle MAX \cong \triangle THX&\text{Angle-Side-Angle Theorem}\\\end{array}[/tex]

Answer:

As per the given statement: when the lights go out at the store at night there's a 15% off sign hanging out by the make up counter.

To find the number as a decimal and a fraction in simplest form.

Given the Number = 15%.

If we convert any number from percent to decimal divide by 100 and remove the % sign.

[tex]\frac{15}{100} = 0.15[/tex]

Then the given number in decimal is, 0.15

Now, to convert this percent into fraction;

[tex]\frac{15}{100}[/tex]

Divide both numerator and denominator by 5 to get;

[tex]\frac{\frac{15}{5} }{\frac{100}{5} } = \frac{3}{20}[/tex]

Therefore, the given number in fraction is; [tex]\frac{3}{20}[/tex]

Answer:

The equation of the line would be y = 1/3x + 2

Step-by-step explanation:

To find this, we must first solve the original equation for y.

3x + y = 6

y = -3x + 6

This means the original slope is -3. Since the original slope is -3, we know that the perpendicular slope is 1/3. This is because perpendicular slopes are opposite and reciprocal.

Now we use the slope and the intercept in slope-intercept form to get the equation.

y = mx + b

y = 1/3x + 2

The equation of a line perpendicular to the line 3x + y = 6 and passing through the y-intercept of 2 is y = 1/3x + 2.

To find the equation of a line that is perpendicular to a given line and passes through a certain y-intercept, we first find the slope of the given line, and then use the negative reciprocal of that slope as the slope of the new line.

The given line is in standard form 3x + y = 6. To convert it to slope-intercept form, we isolate y: y = -3x + 6. Therefore, the slope of the given line is -3. The slope of any line perpendicular to this line is the negative reciprocal of this slope, or 1/3.

The new line must pass through the point where y = 2. So, we plug this value into the slope-intercept form of the equation: y = mx + b, where m is the slope and b is the y-intercept. As a result, the new equation is: y = 1/3x + 2.

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Answer:

8

Step-by-step explanation:

We will use the math operation division to find the answer. Division takes a total and divides it into equal amounts. We have a total of 96 and need equal amounts in to each of the 12 groups.

96/12=8 students per group

To divide 96 students into 12 equal groups, you perform a division operation. Using 96 / 12, we find that there are eight students per group.

To determine how many students will be in each of the 12 equal groups, you use division. The total number of students which is 96 will be divided by the number of groups which is 12. Therefore, the equation you need is 96 / 12 = eight students per group.

This division operation is similar to when five students working on a group assignment divide it into five equal parts. Each of the students completes one part. In our scenario, instead of five parts, we are dividing 96 students into 12 parts, hence creating equal groups for the gym class activity.

Answer:

[tex]\left(-\frac{1}{2},\frac{\sqrt{3}}{2}\right)[/tex]

Step-by-step explanation:

We know that coordinate of any point on unit circle is given by

[tex]\left(\cos\left(\theta\right),\sin\left(\theta\right)\right)[/tex]

Given that [tex]\theta=-\frac{4\pi}{3}[/tex]

So we just need to plug the value of given angle [tex]\theta=-\frac{4\pi}{3}[/tex] into above formula:

[tex]\left(\cos\left(\theta\right),\sin\left(\theta\right)\right)[/tex]

[tex]=\left(\cos\left(-\frac{4\pi}{3}\right),\sin\left(-\frac{4\pi}{3}\right)\right)[/tex]

[tex]=\left(\cos\left(2\pi-\frac{4\pi}{3}\right),\sin\left(2\pi-\frac{4\pi}{3}\right)\right)[/tex]

[tex]=\left(\cos\left(\frac{2\pi}{3}\right),\sin\left(\frac{2\pi}{3}\right)\right)[/tex]

[tex]=\left(-\frac{1}{2},\frac{\sqrt{3}}{2}\right)[/tex]

Hence choice (3) is correct.

Answer:

-1/2, √3/2

Step-by-step explanation:

Answer:

$0.25+$0.05+$0.03=$0.33

$0.33•6=$1.98

$1.98+$4.87=$6.85

Step-by-step explanation: