Kelsey is hiking from the woods to the lodge. She hikes past tree A (3 Miles) and B (4 Miles) in order to get to the lodge. How much distance should she have saved by going straight to the lodge from tree A ?

Eight hundred thousands

Final answer:

The constant of proportionality for the relationship between the length of the arc intercepted by an 80 degree angle and the radius of the circle is π/9 or approximately 0.349 radians per unit of length.

Explanation:

The constant of proportionality for the relationship between the length of the arc intercepted by an 80 degree angle and the radius of the circle is π/9 or approximately 0.349 radians per unit of length.

This can be determined by using the formula for arc length: L = 2πr(A/360), where L is the length of the arc, r is the radius of the circle, and A is the angle in degrees. Since we know that A = 80 degrees, we can substitute the values into the formula to find the constant of proportionality.

L = 2πr(80/360) = (π/9)r

Answer:

[tex]\large\boxed{(-5x^2-3x-7)+(-2x^3+6x-8)=-2x^3-5x^2+3x-15}[/tex]

Step-by-step explanation:

[tex](-5x^2-3x-7)+(-2x^3+6x-8)\\\\=-5x^2-3x-7-2x^3+6x-8\qquad\text{combine like terms}\\\\=-2x^3-5x^2+(-3x+6x)+(-7-8)\\\\=-2x^3-5x^2+3x-15[/tex]

Answer: OPTION A

Step-by-step explanation:

A relation is a function if for each value of x (input value) there is an unique value of y (output value).

For the equation given in the problem:

[tex]y=|x|+6[/tex]

There is an unique value of y for each value of x.

Therefore, the equation is a function and a function is also  a relation.

Then, the answer is the option A

Answer:

A

Step-by-step explanation:

Answer:

The point (3, 3) is not a solution of the first equation, therefore is not a solution of the given system of equations.

Step-by-step explanation:

[tex]y=3x+6\ and\ y=-2x+9[/tex]

[tex](3,\ 3)\to\text{put x = 3 and y = 3 to the equations of the functions}\\\text{and  check the equality.}\\\\y=3x+6\\\\3=3(3)+6\\3=9+6\\3=15\qquad\text{FALSE!}[/tex]

To determine if the given point (3,3) is a solution of the given system of linear equations y=3x+6 and y=-2x+9, we substitute the values of x and y into both equations and check if the equations hold true. If both equations are true, then the given point is a solution of the system of equations.

To determine if the given point (3,3) is a solution of the given system of linear equations y=3x+6 and y=-2x+9, we substitute the values of x and y into both equations and check if the equations hold true.

Let's perform the calculations:

Since only one of the equations is true, the given point (3,3) is not a solution of the system of equations.

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Answer:

-6

Step-by-step explanation:

-84=6(p-8)

-84=6p-48

+48       +48

-36=6p

-36/6=6p/6

-6

Hope this helps

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Answer:

x ≤ -8

Step-by-step explanation:

-4x ≤ 32  =>  -4x ÷ -4 ≤ 32 ÷ -4  =>  x ≤ -8  

Step-by-step explanation:

-4x≤32

Isolate the variable by dividing by -4 on both sides, to cancel out the coefficient of x

32÷-4=-8

x=-8

Answer:

  4 oz of water must be evaporated

Step-by-step explanation:

If we let x represent the amount of water to be evaporated, the relation between the solutions is ...

  0.08 · 36 oz = 0.09 · (36 -x) oz

  0.09x = 36(0.09 -0.08) . . . . . divide by oz; add .09x, subtract .08·36

  x = 36· 0.01/0.09 = 36/9 = 4

4 ounces of water must be evaporated.

Answer:

Step-by-step explanation:

Answer:

[tex]V=250\ cm^{3}[/tex]

Step-by-step explanation:

step 1

Find the length of the base L

we know that

The surface area of a rectangular prism is equal to

[tex]SA=2B+PH[/tex]

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

substitute

[tex]SA=2(LW)+2(L+W)H[/tex]

we have

[tex]W=5\ cm[/tex]

[tex]H=10\ cm[/tex]

[tex]SA=250\ cm^{2}[/tex]

substitute in the formula and solve for L

[tex]250=2(5L)+2(L+5)10[/tex]

[tex]250=10L+20L+100[/tex]

[tex]30L=250-100[/tex]

[tex]L=5\ cm[/tex]

step 2

Find the volume of the rectangular prism

The volume is equal to

[tex]V=(LW)H[/tex]

we have

[tex]W=5\ cm[/tex]

[tex]L=5\ cm[/tex]

[tex]H=10\ cm[/tex]

substitute

[tex]V=(5*5)*10=250\ cm^{3}[/tex]

Answer:

250 CM3.

Step-by-step explanation:

Answer:

D. (2,1)

Step-by-step explanation:

Fill in the value for y from the first eq (6x-11) into the second:

-2x - 3(6x-11) = -7

Now simplify:

-2x -18x + 33 = -7

-20x = -7-33

20x = 40

x = 2

Now that we have x, plug it into the top eq to get y:

y = 6*2 - 11 = 1

Et voila, x=2 and y=1, so the solution is (2,1).

Answer:

X= 2 and Y=1

Step-by-step explanation:

✯Hello✯

↪  So you know what y is so you can substitute into -2x-3y=-7

↪  -20x+33=-7 (thats after you expand the brackets)

↪ -20x=40

↪  this means that x=2. Therefore if u substitute y=1 and its on the options

❤Gianna❤

(-8)(-12)(2) = -8 • -12 • 2

192 //It's positive because - - = +.

Answer: 192

//Hope it helps.

Answer with explanation:

Here the meaning of equivalent expression is that, the value of the expressions after applying operations ,that is original expression and equivalent expression is Identical.

We have to find that expression which is equivalent to:

 (-8)×(-12)×(2)

Integers follows Associative Property, that is for any three Integers

→→ a × (b×c)=(a×b)×c=(a×c)×b

So, equivalent expression of   →→  (-8)×(-12)×(2)

1.→ [(-8)× (-12)]× (2)

2.→[(-8)×(2)]×(-12)

3.→[(2)×(-12)]×(-8)

4.→ 192

Answer:

30.6

Step-by-step explanation:

Area of Parallelogram = base x altitude

base = 6.8

altitude = 4.5

6.8 x 4.5 = 30.6

Answer: 60

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5−

x

3

=−15

5+

−1

3

x=−15

−1

3

x+5=−15

Step 2: Subtract 5 from both sides.

−1

3

x+5−5=−15−5

−1

3

x=−20

Step 3: Multiply both sides by 3/(-1).

(

3

−1

)*(

−1

3

x)=(

3

−1

)*(−20)

x=60

Answer:

hey buddy theres no 60 in any of the choices.

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

so

In this problem

[tex]48+50>14[/tex]

[tex]98>14[/tex] -----> is not true

therefore

You can't build a triangle with those dimensions

The expression for when the GCF is factored is -4(y² - 3y + 4). Option D

To factor out the Greatest Common Factor (GCF) from the expression [tex]-4y^2 + 12y - 16[/tex] first, find the GCF of the terms.

The GCF of the coefficients 4, 12, and 16 is 4.

Additionally, there is a common factor of y²  in all terms.

Now, we have to actor out the GCF, which is -4, we get;

-4(y² - 3y + 4)

Therefore, the expression -4(y² - 3y + 4) represents the factor GCF from the original expression

500 centimeters

5000 millimeters

.005 kilometers

The answer is 6

Trust me!

It's not four nor 8 is 6

The 4 cookies can be divided into 6 pairs of cookie pieces:

4 divided by 2/3 = 6

Answer:

y= 3|x|+5

Step-by-step explanation:

Remember the graph for |x| is shown on the attached picture

Since the picture you show tell us that y=5 when x=0

we have something like the following y=a|x|+5, where 'a' is a constant that represents the slope of the line (whether is the line from one side of the 'y' axis or from the other), we can see that, when x=1, y=8, so we have another point

we can use the equation for slopes using points 1 (0,5) and 2 (1,8)

thus we have that [tex]a=\frac{8-5}{1-0}=3[/tex]

So the answer is y= 3|x|+5

Answer:

4

Step-by-step explanation:

You can divide all the x from the y like , 45/9 =4 so it equals four

Yes, the table does show a proportional relationship and the constant of proportionality is 4.

If the corresponding elements of two sequences of numbers have a constant ratio,

Known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.

We know constant of proportionality is when we have the same multiplicative or division factor between two variables.

Given, when x = 3, y = 12, So y = 4x.

Again when x = 6 , y = 24, so, y = 4x and from observation we can conclude that y is 4 times of x or y = 4x.

∴ The constant of proportionality is 4.

learn more about proportionality here :

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twenty seven percent.

The percent change in the price of gasoline from September to October is calculated using the formula for percent change. Subtracting the September price from the October price and dividing by the September price yields a 15% increase.

To calculate the percent change in the price of gasoline from September to October, we use the formula for percent change, which is
(New Price - Old Price) / Old Price
x 100%. In this case, the price in September was $1.80, and the price in October was $2.07.

The percent change can be calculated as follows:

Therefore, the percent change in the price of gasoline from September to October is 15%.

Answer: [tex]x = \frac{4}{5} , x = -6[/tex]

* Hopefully this helps:) Mark me the brainliest:)!!

Taylan should make 2 marks above the 3 1/4 in the line plot.

Answer:

x = 76°

Step-by-step explanation:

We can solve this by using the angles of intersecting chords theorem. This tells us that when two chords intersect inside a circle, the angle formed is half of the sum of the intercepted arcs of the angle.

This implies that the angle 94° should be half of the sum of Arc measuring x° and the arc measuring 112°. So we can write the equation as:

[tex]94=\frac{1}{2}(x+112)\\[/tex]

We can simplify and solve for x:

[tex]94=\frac{1}{2}(x+112)\\\\94=\frac{1}{2}x+56\\94-56=\frac{1}{2}x\\38=\frac{1}{2}x\\x=38*2=76[/tex]

Hence, x = 76°

Answer:

A: they need to sell 100 cameras

B: $2,700

Step-by-step explanation:

Answer: f(x) = 13

Step-by-step explanation:

When x = 10

f(10) = 10/2 + 8

= 5+8

= 13

Hope this helps!

Answer:

13

Step-by-step explanation:

To evaluate substitute x = 10 into f(x), that is

f(10) = [tex]\frac{10}{2}[/tex] + 8 = 5 + 8 = 13

Answer:

C.

Step-by-step explanation:

Answer:

Choice c is the answer.

Step-by-step explanation:

We have given a expression.

[tex]\frac{\sqrt{x} }{\sqrt{x}+\sqrt{5}}[/tex]

We have to find the rationalized form of above expression.

Multiplying and dividing by [tex]\sqrt{x}-\sqrt{5}[/tex] to given expression,we have

[tex]\frac{\sqrt{x} }{\sqrt{x}+\sqrt{5}  } \frac{\sqrt{x}-\sqrt{5}  }{\sqrt{x}-\sqrt{5}  }[/tex]

[tex]\frac{\sqrt{x}(\sqrt{x}-\sqrt{5})}{(\sqrt{x})^{2}-(\sqrt{5})^{2}}[/tex]

[tex]\frac{(\sqrt{x})^{2}-\sqrt{5}\sqrt{x}}{x-5}[/tex]

[tex]\frac{x-\sqrt{5x} }{x-5}[/tex] which is the rationalized form of given expression.

You have to plug the values in the expression and see if it returns zero.

The only points where the function evaluates to zero are [tex] x=\pm 3[/tex] and [tex]x=6[/tex]

Answer:

(3p-2)(2p+3).

Answer: The answer is 6

Answer:

[tex]4x^{4}[/tex]

Step-by-step explanation:

Given in the question an expression,

[tex](256x^{16})^\frac{1}{4}[/tex]

As we know that,

[tex]x^{\frac{1}{4} }= \sqrt[4]{x}[/tex]

so

[tex]\sqrt[4]{256x^{16} }[/tex]

it could also be written as

[tex]\sqrt{\sqrt{256x^{16} } }[/tex]

First to solve inner square root

[tex]\sqrt{256x^{16} } = 16x^{16/2}[/tex]

[tex]\sqrt{16x^{8} }[/tex]

Second outer square root

[tex]\sqrt{16x^{8}}=4x^{8/2}[/tex]=[tex]4x^{4}[/tex]

➷ 5 is multiplied by itself giving this value:

[tex]5^{6}[/tex]

However, the 3 isn't involved with the exponents so the answer would be:

[tex]3(5)^{6}[/tex]

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

C) 3(5)^6

Step-by-step explanation:

Note the amount of 5's inside the expression and 3's inside the expression.

In the given expression (3 x 5 x 5 x 5 x 5 x 5 x 5), there are 6 5's and 1 3's.

Note that, when changing multiplication into powers, the amount of the same number multiplied together will equal the number you put as a power. For example:

5 x 5 = 5²

5 x 5 x 5 = 5³

In this case:

5 x 5 x 5 x 5 x 5 x 5 = 5^6

Note that there is still a 3 multiplied inside the expression, and so remember to keep it in the answer.

3(5)^6, or C) is your answer.

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