A Prince came to an Evil Wizard to ask for the release of his beloved Princess, who is locked behind one of three doors. The Evil Wizard offered to release the Princess if the Prince was able to correctly guess which door she was behind. And with this offer, the Evil Wizard gave three hints: 1) The Princess is locked behind door 1 2) A fire-breathing Dragon is locked behind door 2. 3) There is also someone locked behind door 3 The Prince realized that all three hints were false, and with the help of logic, understood which door the Princess was locked behind. Which door was it?

Step-by-step explanation:

since PQRT is a rhombus,

URQ=TPU

y=180-90-24=66

x=180-32-90-24=34

Answer:

x = 121°

Step-by-step explanation:

The angle supplementary to 115° is 180 - 115 = 65° and the angle that forms a full circle with 304° is 360 - 304 = 56°. Since the measure of an exterior angle is equal to the sum of its remote interior angles, we know that x = 65 + 56 = 121°.

Answer:

x=6

Step-by-step explanation:

first write out the equation that is given:

18+6x=2x+42

next subtract 2x from both sides:

18+6x-2x=2x-2x+42, which becomes 18+4x=42

then subtract 18 from both sides:

18-18+4x=42-18, which becomes 4x=24

finally divide both sides by 4:

4x/4=24/4, which becomes x=6

Therefore, x=6 is your answer

Answer:

Step-by-step explanation:

Hello, please consider the following.

[tex]18+6x=2x+42\\ \\\text{subtract 18 from both parts of the equation }\\\\18+6x-18=6x=2x+42-18=2x+24 \\ \\\text{subtract 2x from both parts of the equation }\\ \\6x-2x=4x=24\\ \\\text{divide by 4 both parts of the equation }\\ \\x=\dfrac{24}{4}=6\\ \\\text{So the solution is ... }\\ \\\large \boxed{\ \ x=6 \ \ }[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

1/625

Step-by-step explanation:

When you multiply, you add the exponents. You now have [tex]6^{-4}[/tex]. This is equivalent to [tex]\frac{1}{5^{4} }[/tex] which equals 1/625.

Answer:

1/625

Step-by-step explanation:

5^ -1 * 5^-3

The bases are the same, so we can add the exponents

5^ (-1+-3)

5^-4

We know that a^-b = 1/ a^b

1/5^4

1/625

Answer:

Below

Step-by-step explanation:

The surface are is given by this formula:

Sa= area of the base*the heigth + the area of the base *2

●●●●●●●●●●●●●●●●●●●●●●●●

2)

The base here has a triangular form.

Let A be the area of this triangle.

A= (6*8)/2 = 24 cm^2

Sa = A* 6 + A*2

Sa= 24*6 + 24*2

Sa = 192 cm^2

●●●●●●●●●●●●●●●●●●●●●●●●

The base here is a circle.

The area of a circle is :

A= r^2 * Pi

r is the radius (here 12 km)

A = 12^2* Pi

A= 144 Pi cm^2

Sa = 2*A + A* h

Sa = 7* 144* Pi + 2* 144* Pi

Sa= 4071.504

So the surface area is aporoximatively 4072 km^2

This is something you would do through trial and error. At least, that's the approach I took. I'm not sure if there is any algorithm to solve. The solution I got is shown in the attached image below. There are probably other solutions possible. The trick is to keep each number separate but not too far away so that the other numbers to be filled in later don't get too crowded to their neighbor.

Side note: any mirror copy of what I posted would work as well since you can flip the page around and it's effectively the same solution.

Answer:

C: [tex]\lim_{x \to 0} y \to -\infty[/tex]

Step-by-step explanation:

The y-axis is the asymptote, and G(x) approaches it as x is getting smaller and smaller.

Actually, even more accurate would be to write

[tex]\lim_{x \downarrow 0} y \to -\infty[/tex]

The down arrow shows that x has to approach 0 from the positive side.

Answer: The awnser is 45 degrees

Step-by-step explanation:

As you can see there are two z's which equal to 90 degrees and one z eqquals to 45 degrees.

Answer:

(5, -3)

Step-by-step explanation:

Coordinates are located on Cartesian planes (more like locating a point on a graph). Cartesian coordinates can be two dimensional or three dimensional in nature depending on the number of axis we are considering. For the question, the dimension of the required coordinate is 2-dimensional i.e (x,y).

On the Cartesian plane, we have the x axis along the horizontal plane and y axis along the vertical.

Note that positive values lies towards the right of the x-axis and also up the y-axis. The negative values lies towards the left of the x-axis and also down the y-axis.

According to the question, if a point is lying on x axis at a distance of 5 units to the right of x axis, then the value of x will be +5 i.e x = +5

Also, if a point lies on the y axis at a distance of 3 units below the origin, then the value of y will be -3 i.e y = -3.

Hence, the coordinates satisfying this points (x,y) is (5, -3)

Answer:

88.7

Step-by-step explanation:

P(Z < z) = 0.25

z = -0.674

z = (x − μ) / σ

-0.674 = (x − 99.6) / 16.2

x = 88.7

Answer:

We can arrange 4 different colored balls in 24 ways.

Step-by-step explanation:

We have to find the number of ways in which we can arrange 4 different colored balls.

Firstly, we have to decide that either we use Permutation or we use Combination.

A Permutation is used when the order of arranging the numbers matters while on the other hand, a combination is used when the order of arranging the numbers doesn't matter.

So, in our question; the ordering matters to us as a ball which is placed in the first place can't be put again put in other places.

Number of ways of arranging 4 different colored balls = [tex]^{4}P_4[/tex]

                     =  [tex]\frac{4!}{(4-4)!}[/tex]          {[tex]\because ^{n} P_r = \frac{n!}{(n-r)!}[/tex] }

                     =  4! = [tex]4 \times 3 \times 2\times 1[/tex]

                     =  24 ways

Hence, we can arrange 4 different colored balls in 24 ways.

Answer:

A. (-8, 20)

Step-by-step explanation:

The formula for dilations is

[tex]\left(x_{1}\cdot t_{1},\ y_{1}\cdot t_{1}\right)[/tex] Where t is the scale factor

The first step is to plug in the numbers appropriately

[tex](-2*4,5*4)[/tex]

Then, multiply -2 by 4 and 5 by 4 to get

[tex](-8, 20)[/tex]

So your answer is (-8, 20)

Hope this helps

Have a great day! :)

Answer:  A) 3.2 ft

Step-by-step explanation:

f(4) = -0.3(4)² + 2(4)

     = -4.8 + 8

     =  3.2

Answer:

3.2 feet

Step-by-step explanation:

Answer:

Start with the parent function y=1/x^2

Add 3 to x in the denominator, because the graph is shifted left 3.

Add 1 to the fraction, because the graph is shifted up 1 unit

Step-by-step explanation:It is the answer 100% on assignment

Answer:

$20, 533.33

Step-by-step explanation:

From the question, we are given the following values

Principal = $20000

Rate = 8% = 0.08

Time( in years) = 120days = 4 months = 4/12 years = 1/3 years

Interest = Principal × Rate × Time

Interest = 20,000 × 0.08× (1/4)

Interest = $533.33

Hence, the proceeds to Aster Corporation are

$20000 + $533.33

= $20,533.33

Answer:

96

Step-by-step explanation:

We simply need to plug in a = 4 so 6a² = 6 * 4² = 6 * 16 = 96.

Answer:

your answer is -35.

Step-by-step explanation:

let the first 7 terms be 1,2,3,4,5,6, and 7.

we have ,

general term t_n = -3n +7 ,then

t_1 = -3*1 +7

= -3+7

= 4

t_2 = -3*2 +7

= -6 +7

= 1

t_3 = -3*3 +7

= -9+7

= -2

t_4 = -3*4 +7

= -12+7

= -5

t_5 = -3*5 +7

= -15+7

= -8

t_6 = -3*6 +7

= -18+7

= -11

t_7 = -3*7 +7

= -21+7

= -14

Now, the sum of first seven terms is

4 + 1 + (-2) + (-5) + (-8) + (-11) + (-14)

= 5 -2 - 5 - 8 - 11 - 14

= -35

Answer:

-35

Step-by-step explanation:

Sum of the first 7 terms of AP is:

As per general formula t_n= -3n +7 we find the first and seventh terms and the sum of the first 7 terms:

Answer is - 35

Answer:

12.65 miles

Step-by-step explanation:

he runs on a track that is 2 1/2 miles per lap and he runs 3 1/2 laps:

2 1/2 *3 1/2= 5/2 * 7/2=35/4=8.75 miles

afternoon he runs on a track that is 1 3/10 miles per lap and he runs 3 laps

1 3/10 *3=13/10*3=39/10= 3.9

total miles  he runs in a day: 8.75+3.9= 12.65 miles

Answer:

a²  + b²  = c · (e + d) =  c × c = c²

a²  + b²  = c²

Please see attachment

Step-by-step explanation:

Statement,                                                        Reason

ΔADC ~ ΔACB,          Given

AC/AD = BA/AC,        The ratio of corresponding sides of similar triangles

b/e = c/b

b² = c·e

ΔBDC ~ ΔBCA,           Given

BC/BA =  BD/BC,        The ratio of corresponding sides of similar triangles

a/c = d/a        

a² = c·d

a²  + b²   = c·e + c·d

a²  + b²   = c · (e + d)

e + d = c,                       Addition of segment

a²  + b²   = c × c = c²

Therefore, a²  + b²   = c²

Answer:

  true

Step-by-step explanation:

  3 -2x is a polynomial of degree 1, consisting of two terms. Such a polynomial can be referred to as a "binomial."

Your observation is True.

Answer:

Correct answer is option D. 96.4 yd.

Step-by-step explanation:

Please refer to the attached figure for labeling of the given diagram.

ABC is a triangle with the following labeling:

A is the hole, B is the Tee and C is the point where the ball is.

Sides are labeled as:

[tex]a =255\ yd\\c = 305\ yd\\\angle B =17^\circ[/tex]

To find:

Side [tex]b = ?[/tex]

Solution:

Here, we have one angle and two sides . Third side of the triangle is to be found opposite to the given angle.

We can use cosine formula here to find the value of the unknown side.

[tex]cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}[/tex]

Putting all the values:

[tex]cos 17 = \dfrac{255^{2}+305^{2}-b^{2}}{2\times 255\times 305}\\\Rightarrow 0.956 = \dfrac{65025+93025-b^{2}}{155550}\\\Rightarrow 148753.2= 158050-b^{2}\\\Rightarrow b^{2}= 158050-148753.2\\\Rightarrow b^{2}= 9296.795\\\Rightarrow b= 96.42\ yd[/tex]

So, the distance between the Ball and hole is 96.42 yd

Correct answer is option D. 96.4 yd.

Answer:

D.) 96.4 yd

Step-by-step explanation:

I got it correct on founders edtell

To remove a possible source of bias

Step-by-step explanation:

If the test subjects know they are part of an experiement, this could cause them to think that it worked and it could either lead to untruthful answers or the test subjects tricking themselves to think that the vaccine worked

Answer:

C.28

Step-by-step explanation:

It gives you 2 sides.

One of them is 8.

The other one is 12 but the 12 is divided by 2 which is 6.

Since it is a parallelogram there is the same measurements on the opposite sides.

So finally you get 6+6+8+8= 28

The perimeter of parallelogram AFCB is C. 28

With the purpose to discover the perimeter or distance around the rectangle, we want to add up all four side lengths. this can be performed efficiently by using truly including the duration and the width, after which multiplying this sum by means of when you consider that there are of every facet length.

The Perimeter is the gap around the item. for instance, your own home has a fenced backyard. the perimeter is the length of the fence. If the yard is 50 toes × 50 feet your fence is 2 hundred feet long.

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Answer:

To eliminate solve for y, we need to eliminate x and we will do that by multiplying the first  equation by 8   and multiply the second equation by 9.

y=6

Step-by-step explanation:

In the equations:

9x + 3y = -18  -----------------------------------------------------------------(1)

8x + 7y = 10 --------------------------------------------------------------------(2)

To solve for  y, we will have to eliminate x

To eliminate x, we will follow the steps below;

multiply equation (1) through by 8   and multiply equation (2) through by 9

The resulting equations are

72x + 24y  = -144 ----------------------------------------------------------(3)

72x +  63y =  90  -----------------------------------------------------------(4)

Then we will go ahead and subtract equation  (4) from equation (3)

39y =234

divide both-side of the equation by 39

39y /39=234/39

y=6

X axis is the horizontal axis and y is the vertical.

On a graph, quandrant 1 is the upper right side which requires both x and y to be positive.

Quadrant 2 is upper left, which is negative x and positive y.

Quandrant 3 is lower left, which is negative x and y.

Quadrant 4 is lower right, which is positive x and negative y.

X< 0 is negative and y > 0 is positive.

This matches quadrant 2

The answer is B.

Answer:

The fixed term is the y-intercept. In this case the y-intercept would be 100.

Step-by-step explanation:

This is because the 100 dollars cannot be changed. You can always change the amount you save per month and the amount of months you save.

Answer: 148.5

Step-by-step explanation:

To find the area of this shape, comprised of a rectangle and a triangle, we can find the area of each shape and add them together.

The area of a triangle is 12⋅b⋅h. We are given the triangle's height, 13. The base of the triangle will be the same as the width of the rectangle, which we also know: 11. Now we can calculate the area of the triangle:

A = 1/2⋅b⋅h

A = 12⋅11⋅13

A = 71.5

Now we can find the area of the rectangle, which is l⋅w. The width of the rectangle is 11, which is the same as the base of the triangle; the length is 7:

A =l⋅w

A = 7⋅11

A = 77

Finally, we can add together the area of the triangle and the rectangle to find the total area:

A = 71.5 + 77 = 148.5

The total area of the front of a house will be 148.5.

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

A rectangle has a width = 11

The triangle's height = 13

The rectangle's height = 7

Now,

Since, The base of the triangle will be the same as the width of the rectangle.

Hence, The area of rectangle = 7 x 11

                                              = 77

And, The area of triangle = 1/2 x 11 x 13

                                      = 71.5

Thus, The total area of the front of a house = 77 + 71.5

                                                                  = 148.5

Therefore, The total area of the front of a house will be 148.5.

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Answer:

4

Step-by-step explanation:

Answer:

3 hours

Step-by-step explanation:

1/5 of an hour would be equivalent to 12 minutes (60 minutes in an hour divided by 5)

Multiply 12 minutes by 15 to see how long it will take to water the entire lawn in minutes ----> 12x15=180

Divide 180 by 60 to see how many hours it takes ---> 180/60=3

Answer:

3 hours.

Step-by-step explanation:

1/15 of the lawn is watered in 1/5 hours

So  the whole lawn is watered in  15 * 1/5

= 3 hours.