If Heather wants to earn $1,250 in profit next month, how many bears will she have to sell?

Answer:

y = 700x - 400

Step-by-step explanation:

A negative number represents an altitude below sea level.

Beginning: -400

y = mx + b

y = mx - 400

In 2 hours the altitude was now 1000 m.

1000 m - (400 m) = 1400 m

The altitude went up 1400 m in 2 hours. The rate of change is

1400/2 m/h = 700 m/h

The rate of change is the slope.

y = 700x - 400

Answer:

The graph answer is below :)

Step-by-step explanation:

Answer:

D. 14

Step-by-step explanation:

4^2 - 2 (evaluate)

16 - 2 (calculate)

14

Answer:

0 ≤ x ≤ 2

Step-by-step explanation:

A function show the relationship between an independent variable and a dependent variable. The independent variable (input) does not depend on other variables while the dependent variable (output) depend on other variables.

In this question, the volume of the water is the dependent variable and the time taken is the independent variable. Let y represent the volume of the water and x represent the time taken. Therefore:

y = 0.75x

The domain of the function is the set of independent variable, it can be gotten by determining x when y is minimum and maximum. Hence:

For y = 0

0 = 0.75x

x = 0/ 0.75 = 0

For y = 1.5 gallon

1.5 = 0.75x

x = 1.5/0.75 = 2

Hence, the domain = 0 ≤ x ≤ 2

Answer:

3x - y = 2

Step-by-step explanation:

pick 2 points on the line:  (0, -2), (2, 4)

find slope (m):

m = (4-(-2))/(2-0) = 6/2 = 3

write the equation in point-slope form first:

y - y1 = m(x - x1)

plug in a point: (2,4)

y - 4 = 3(x - 2)

y - 4 = 3x-6

now write it in standard form:  Ax + By = C

3x - 6 = y - 4

3x - y = 2

the mοnthly periοdic interest rate, rοunded tο the nearest hundredth οf a percent is (C) 1.31%

Any lοans and bοrrοwings cοme with interest. the percentage οf a lοan balance that lenders use tο determine interest rates. Cοnsumers can accrue interest thrοugh lending mοney (via a bοnd οr depοsit certificate, fοr example), οr by making a depοsit intο a bank accοunt that pays interest.

We must divide its yearly percentage rate (APR) by 12 tο determine a mοnthly periοdic interest rate (the number οf mοnths in a year).

Hence, the periοdic interest rate fοr each mοnth is:

15.75% / 12 = 1.3125%

The result οf rοunding tο the clοsest hundredth οf such a percent is:

1.31%

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The cost of 13 markers is $326.17.

We have,

Let x be the cost of one marker.

3 markers cost $5.79.

We can set up a proportion:

3 markers / $5.79 = 1 marker / x

To determine the cost of 13 markers, we can use this proportion and solve for y, which represents the cost of 13 markers:

3 markers / $5.79 = 13 markers / y

Cross-multiplying

3 markers x y = $5.79 x 13 markers

Simplifying:

3y = $75.27

Dividing both sides by 3, we get:

y = $25.09

The equation that helps determine the cost of 13 markers is:

= 13 markers x $25.09 per marker

= $326.17

Thus,

The cost of 13 markers is $326.17.

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1) Note that in the graph, we can see a Vertical Translation down to 4 units.

2) Whenever we have the parent function with a number added outside the square term, we can have a vertical shift. Since it is down then we can write a negative number.

3) Thus, the answer is:

Answer:

\(3i\sqrt2\)

Step-by-step explanation:

We can rewrite the square root of negative 18 as \(\sqrt{18} \cdot\sqrt{-1}\). We can evaluate these two quantities separately. The square root of 18 can be factored to get 3 squared times 2. We can take the 3 out to get \(3\sqrt2\). Now, the square root of negative one can be rewritten as \(i\), so this is equal to \(3i\sqrt2\)

Answer: -1364

Step-by-step explanation:

This is a geometric series with first term 4 and a common ratio of -2.

Using the sum of a geometric series formula, we get this sum to be equal to:

\(\frac{4(1-(-2)^{10}}{1-(-2)}=\boxed{-1364}\)

Answer:

1)  695.3 m²

2)  8 ft

3)  172.0 in²

Step-by-step explanation:

To find the area of a regular polygon, we can use the following formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)

Given the polygon is an octagon, n = 8.

Given each side measures 12 m, s = 12.

Substitute the values of n and s into the formula for area and solve for A:

\(\implies A=\dfrac{(12)^2 \cdot 8}{4 \tan\left(\dfrac{180^{\circ}}{8}\right)}\)

\(\implies A=\dfrac{144 \cdot 8}{4 \tan\left(22.5^{\circ}\right)}\)

\(\implies A=\dfrac{1152}{4 \tan\left(22.5^{\circ}\right)}\)

\(\implies A=\dfrac{288}{\tan\left(22.5^{\circ}\right)}\)

\(\implies A=695.29350...\)

Therefore, the area of a regular octagon with side length 12 m is 695.3 m² rounded to the nearest tenth.

\(\hrulefill\)

The sum of an interior angle of a regular polygon and its corresponding exterior angle is always 180°.

If the exterior angle of a polygon measures 40°, then its interior angle measures 140°.

To determine the number of sides of the regular polygon given its interior angle, we can use this formula, where n is the number of sides:

\(\boxed{\textsf{Interior angle of a regular polygon} = \dfrac{180^{\circ}(n-2)}{n}}\)

Therefore:

\(\implies 140^{\circ}=\dfrac{180^{\circ}(n-2)}{n}\)

\(\implies 140^{\circ}n=180^{\circ}n - 360^{\circ}\)

\(\implies 40^{\circ}n=360^{\circ}\)

\(\implies n=\dfrac{360^{\circ}}{40^{\circ}}\)

\(\implies n=9\)

Therefore, the regular polygon has 9 sides.

To determine the length of each side, divide the given perimeter by the number of sides:

\(\implies \sf Side\;length=\dfrac{Perimeter}{\textsf{$n$}}\)

\(\implies \sf Side \;length=\dfrac{72}{9}\)

\(\implies \sf Side \;length=8\;ft\)

Therefore, the length of each side of the regular polygon is 8 ft.

\(\hrulefill\)

The area of a regular polygon can be calculated using the following formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)

A regular pentagon has 5 sides, so n = 5.

If its perimeter is 50 inches, then the length of one side is 10 inches, so s = 10.

Substitute the values of s and n into the formula and solve for A:

\(\implies A=\dfrac{(10)^2 \cdot 5}{4 \tan\left(\dfrac{180^{\circ}}{5}\right)}\)

\(\implies A=\dfrac{100 \cdot 5}{4 \tan\left(36^{\circ}\right)}\)

\(\implies A=\dfrac{500}{4 \tan\left(36^{\circ}\right)}\)

\(\implies A=\dfrac{125}{\tan\left(36^{\circ}\right)}\)

\(\implies A=172.047740...\)

Therefore, the area of a regular pentagon with perimeter 50 inches is 172.0 in² rounded to the nearest tenth.

Answer:

1.695.29 m^2

2.8 feet

3. 172.0477 in^2

Step-by-step explanation:

1. The area of a regular octagon can be found using the formula:

\(\boxed{\bold{Area = 2a^2(1 + \sqrt{2})}}\)

where a is the length of one side of the octagon.

In this case, a = 12 m, so the area is:

\(\bold{Area = 2(12 m)^2(1 + \sqrt{2}) = 288m^2(1 + \sqrt2)=695.29 m^2}\)

Therefore, the Area of a regular octagon is 695.29 m^2

2.

The formula for the exterior angle of a regular polygon is:

\(\boxed{\bold{Exterior \:angle = \frac{360^o}{n}}}\)

where n is the number of sides in the polygon.

In this case, the exterior angle is 40°, so we can set up the following equation:

\(\bold{40^o=\frac{ 360^0 }{n}}\)

\(n=\frac{360}{40}=9\)

Therefore, the polygon has n=9 sides.

Perimeter=72ft.

We have

\(\boxed{\bold{Perimeter = n*s}}\)

where n is the number of sides in the polygon and s is the length of one side.

Substituting Value.

72 feet = 9*s

\(\bold{s =\frac{ 72 \:feet }{ 9}}\)

s = 8 feet

Therefore, the length of each side of the polygon is 8 feet.

3.

Solution:

A regular pentagon has five sides of equal length. If the perimeter of the pentagon is 50 in, then each side has a length = \(\bold{\frac{perimeter}{n}=\frac{50}{5 }= 10 in.}\)

The area of a regular pentagon can be found using the following formula:

\(\boxed{\bold{Area = \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *s^2}}\)

where s is the length of one side of the Pentagon.

In this case, s = 10 in, so the area is:

\(\bold{Area= \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *10^2=172.0477 in^2}\)

Drawing: Attachment

According to the solution we have come to find that, There are 266.67 liters of water left in the tank after both Monday and Tuesday's leaks.

what is linear equations?

A linear equation is a mathematical equation that represents a straight line on a graph. It is an equation of the form:

y = mx + b

where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept (the value of y when x = 0).

The slope of the line determines how steep or flat the line is, and the y-intercept is the point where the line crosses the y-axis.

On Monday, one third of the water in the tank leaked out, leaving 2/3 of the original amount remaining.

The amount of water left in the tank after Monday's leak is:

2/3 x 500 = 333.33 liters

On Tuesday, one fifth of the remaining water in the tank leaked out, leaving 4/5 of the remaining amount.

The amount of water left in the tank after Tuesday's leak is:

4/5 x 333.33 = 266.67 liters

Therefore, there are 266.67 liters of water left in the tank after both Monday and Tuesday's leaks.

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Answer:

The answers to the questions are answered my text messages from you soon thank you for your support

Step-by-step explanation:

you have any questions please call me about human variation

Answer:

321.50 dollars.

Step-by-step explanation:

Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.

This is a tricky math problem that requires some conversions and calculations. First, we need to convert feet to meters, because Dena lives in a country that uses the metric system. According to the search results   , one foot is equal to 0.3048 meters. So, 120 feet is equal to 120 x 0.3048 = 36.576 meters.

Next, we need to multiply the length of the wallpaper by the price per meter to get the total cost. The total cost is 36.576 x 8.79 = $321.38.

Finally, we need to round the total cost to the nearest half dollar. This means we need to look at the cents part of the cost and see if it is closer to 0, 50 or 100. In this case, 38 cents is closer to 50 than to 0 or 100, so we round up the cost to $321.50.

Therefore, Dena will have to pay $321.50 for the wallpaper. That's a lot of money for some paper that will probably peel off in a few years! Maybe she should consider painting her walls instead.

Answer:

The answer is 1

Step-by-step explanation:

Answer:

The answer is B. 1

Step-by-step explanation:

If you set up the equation in a different but also the same way like: 1/4 x 4/1, you can multiply just like that. First multiply the numerator which is 1 times 4 or also 4. Then you multiply 4 times 1 to get 4. Altogether you get 4/4 or if you simplify it, you get 1

The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).

In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:

3(2a^2 - 5a + 2)

Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.

The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:

3(2a - 1)(a - 2)

Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

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Answer:

Step-by-step explanation:

Given that:

The differential equation; \((x^2-4)^2y'' + (x + 2)y' + 7y = 0\)

The above equation can be better expressed as:

\(y'' + \dfrac{(x+2)}{(x^2-4)^2} \ y'+ \dfrac{7}{(x^2- 4)^2} \ y=0\)

The pattern of the normalized differential equation can be represented as:

y'' + p(x)y' + q(x) y = 0

This implies that:

\(p(x) = \dfrac{(x+2)}{(x^2-4)^2} \\)

\(p(x) = \dfrac{(x+2)}{(x+2)^2 (x-2)^2} \\)

\(p(x) = \dfrac{1}{(x+2)(x-2)^2}\)

Also;

\(q(x) = \dfrac{7}{(x^2-4)^2}\)

\(q(x) = \dfrac{7}{(x+2)^2(x-2)^2}\)

From p(x) and q(x); we will realize that the zeroes of (x+2)(x-2)² = ±2

When x = - 2

\(\lim \limits_{x \to-2} (x+ 2) p(x) = \lim \limits_{x \to2} (x+ 2) \dfrac{1}{(x+2)(x-2)^2}\)

\(\implies \lim \limits_{x \to2} \dfrac{1}{(x-2)^2}\)

\(\implies \dfrac{1}{16}\)

\(\lim \limits_{x \to-2} (x+ 2)^2 q(x) = \lim \limits_{x \to2} (x+ 2)^2 \dfrac{7}{(x+2)^2(x-2)^2}\)

\(\implies \lim \limits_{x \to2} \dfrac{7}{(x-2)^2}\)

\(\implies \dfrac{7}{16}\)

Hence, one (1) of them is non-analytical at x = 2.

Thus, x = 2 is an irregular singular point.

The statement P pennies are added to 22 is 22 + P.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, P pennies are added to 22 pennies, here P can be any numerical value and it is therefore a variable, this statement can be written as.

22 + p.

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Answer:

456

Step-by-step explanation:

Product means an answer derived from multiplication.  Therefore, if the product is 155952, and one value is 342, then the following equation is true:

342x = 155952, or 342 * x = 155952

Divide 155952 by 342 to get: 456.

Check the work in the equation:

342(456) = 155952

155952 = 155952, which is true, so the answer is 456.

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The Surface Area of cylinders are: 100 yd² , 264 m², 226  mm²

The Surface Area of Can is 219 cm².

We know the formula for Surface Area of Cylinder

= 2πrh

1. Radius = 2 yd

Height = 8 yd

So, Surface Area of Cylinder

= 2πrh

= 2 x 3.14 x 2 x 8

= 100 yd²

2. Radius = 7 m

Height = 6 m

So, Surface Area of Cylinder

= 2πrh

= 2 x 3.14 x 6 x 7

= 264 m²

3. Radius = 3 mm

Height = 12 mm

So,  Surface Area of Cylinder

= 2πrh

= 2 x 3.14 x 3 x 12

= 226  mm²

4. Radius = 3.5 cm

Height = 10 cm

So, Surface Area of Can

= 2πrh

= 2 x 3.14 x 3.5 x 10

= 219 cm²

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Answer:

1 pound of grapes cost 3$

Step-by-step explanation:

If 2 pounds of grape cost 6$ then 1 pound of grape cost 3$ Since 1 is half of 2 and 3 is half of 6

Answer:

6.5

Step-by-step explanation:

6.5+(3.5*2)-7/3

6.5+(7-7)/3

6.5+0/3

6.5+0

6.5

Answer:

Its multiplication but if you want the actual answer it is 6.5

Step-by-step explanation:

It should be noted that the cheetahs average rate for the entire trip is 55mph

The average rate for the trip is equal to the total distance traveled divided by the total time traveled.

Average Rate = 70+ 40/2= 110/2 = 55mph

Yes the average rate of the cheetah is 55 mph

The following equations represent the distance traveled on each leg of the trip.

First leg of trip: td=r1 t1= 70*t

Second leg of trip: td=r2 t2= 40*t

Write an equation for the average rate for the trip. Remember, the cheetah runs from point A to point B and back to point A.

Total distance = r1 t1+ r2 t2

Average rate = Total distance / total time

=  r1 t1+ r2 t2/ t1+ t2

=70t+ 40t/ 2t

=110t/2t

= 55mph

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Going from point A to point B, the cheetah traveled at an average rate of 70 mph. Returning to point A, the cheetah traveled at an average rate of 40 mph. Using the equation for average rate above determine the cheetahs average rate for the entire trip

Answer:

a). Horizontal distance = 11.1 m

b). Maximum height = 6.2 m

c). Firefighter is 13.7 m from the house

Step-by-step explanation:

Given question is incomplete; find the complete question in the attachment.

Height of the water can be determined by the expression,

h(x) = -0.026x²+ 0.577x + 3

Here x = Horizontal distance of the from the firefighter

a). Since the stream of the water will follow a parabolic path, maximum point of the parabola will be = Vertex of the parabolic path

Horizontal distance from the firefighter at which the water achieves the maximum height = -\(\frac{b}{2a}\)

From the quadratic function,

h(x) = -0.026x²+ 0.577x + 3

a = -0.026

b = 0.577

Therefore, the horizontal distance = \(-\frac{0.577}{2\times (-0.02612)}\) = 11.05 m

                                                         ≈ 11.1 meters

b). By putting x = 11.1 in the quadratic equation,

    h(x) = -0.02612(11.1)²+ 0.577(11.1) + 3

           = -3.2182 + 6.4047 + 3

           = 6.18 m

           ≈ 6.2 m

c). For h(x) = 6 m

    6 = -0.02612x² + 0.577(x) + 3

    0.02612x² - 0.577x + 3 = 0

    From quadratic formula,

    x = \(\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

    x = \(\frac{0.577\pm \sqrt{(-0.577)^2-4(0.02612)(3))}}{2(0.02612)}\)

    x = \(\frac{0.577\pm\sqrt{0.019489}}{0.05224}\)

    x = \(\frac{0.577\pm0.1396}{0.05224}\)

    x = 13.7 m, 8.37 m

Therefore, the farthest distance of the firefighter from the house will be 13.7 m

Answer: C

Step-by-step explanation:

By the difference of squares, \(x^{4}-9=(x^{2}+3)(x^{2}-3)\)

Answer:

127

Step-by-step explanation:

Following the Order of Operations, we should subtract 19 - 7 = 12

Then, you do the exponents so, 12 * 12 = 144.

Next, multiply. 8 * 3 = 24 and 4 * 3 = 12

So your equation should look like this. 144 - 24 + 12 - 5

Now from left to right you solve it so, 144 - 24 = 120

144 - 24 = 120

120 + 12 = 132

132 - 5 = 127

Have a wonderful day!

Answer:

Step-by-step explanation:

Expresión x--12.5*y-612*x-3*y-2 = 9.5*y-611.0*x-2.0

Answer:

Step-by-step explanation:

the correct answer of the question is y=x/3-3 b.c

m1.m2 = -1 But m1=-3

so -3.m2=-1

-3.m2/-3=-1/-3

m2=1/3 therefore

Y=1/3x-3

Answer:

the temperature at 6pm was 12.8 F

Step-by-step explanation:

Temperature every three hours...

9am:                 - 10.6

rose 14.2 so you add this to the starting temperature

9am - Noon:     - 10.6 + 14.2 = 3.6

Noon:                   3.6

went up 11 so you add this to the temperature at noon

Noon - 3pm:        3.6 + 11 = 14.6

3pm:                    14.6

went down 1.8 so you subtract this to the temperature at 3pm

3pm - 6pm:          14.6 - 1.8

6pm:                     12.8