Directions: Using the image and the scenario provided in the trajectory scenario activity Question #1, determine the trajectory the bullet traveled. Drawings are not to scale. Question #1. A bullet from a sniper struck and killed a controversial political figure who was waiting in a nearby car as a passenger. Crime scene investigators are unsure what floor of the building the shot came from. The first floor of the hotel is 25 ft. high. Each subsequent floor is 15 ft. tall. Entry point on car window above horizontal = 12 in. Distance from car window to victim = 42 in. Distance from building to victim’s car = 350 ft. Using the measurements from the scene, determine what floor of the building the shooter came from. Tips: Convert units to feet, Complete ratio to find the height of the shooter in feet. To determine the floor number from feet: 25 + 15x, The floor number = add one to x. Which means the shooter was on which floor? a 5 b 6 c 7 d 8

Answer:

[tex]\alpha_{2} = \frac{5}{4}\cdot \alpha_{1}[/tex], for all [tex]\alpha_{1} \in \mathbb{R}[/tex]

Step-by-step explanation:

Vectors are parallel to each other if:

[tex]\vec u = \beta \cdot \vec v[/tex]

[tex](\alpha_{2}, 5) = (\beta\cdot \alpha_{1}, \beta \cdot 4)[/tex]

The value of [tex]\beta[/tex] is:

[tex]\beta = \frac{5}{4}[/tex]

Then, the following relationship is found:

[tex]\alpha_{2} = \frac{5}{4}\cdot \alpha_{1}[/tex], for all [tex]\alpha_{1} \in \mathbb{R}[/tex]

Answer:

Step 1: Calculate the mean. Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. Step 3: Add those deviations together. Step 4: Divide the sum by the number of data points.

Step-by-step explanation:

Answer: (7x + 4)(x - 1)

Step-by-step explanation:

7x^2 - 3x - 4

ax^2 = 7x^2

bx = -3x

c = - 4

4 x -7  =  -28

4 + -7  =  -3

4 and -7 are the number which ahs the product of ac = -28 and b = -3.

factored form : [tex]7x^{2} - 7x + 4x - 4[/tex]

                      = [tex]7x(x - 1) + 4(x - 1)[/tex]

                      = [tex](7x + 4)(x - 1)[/tex]

Answer:

1. -7 and 4

2. (7x + 4)(x - 1)

Answer:

The student make an error in step 4.

Step-by-step explanation:

Given : A student solved for the radius of a circle with a circumference of 12π.

To find : In which step did the student make an error?

Solution :

Let us write each step to find the radius of a circle from its circumference

Step 1 - Circumference of circle,

[tex]C=2\pi r[/tex]

Step 2 - Substitute the given circumference,

[tex]12\pi= 2\pi r[/tex]

Step 3 - Divide both sides by 2π,

[tex]\frac{12\pi }{2\pi }=\frac{2\pi r}{2\pi }[/tex]

Step 4 - Solve

[tex]6=\pi r[/tex] , it is incorrect as π  get cancelled

Correct step is  [tex]6=r[/tex]

The radius of the circle is 6 cm.

Step 5 - [tex]\frac{6}{\pi }=\frac{\pi r}{\pi}[/tex]

Step 6 -  [tex]\frac{6}{\pi }=r[/tex]

The student made a mistake in step 4 so step 5 and 6 is automatically invalid.

Therefore, the student make an error in step 4.

Answer:

7 units

Step-by-step explanation:

Answer:

3) 3(5/12) = 5/4 hour = 1 1/4 hours

Answer:

  D) x² − xy − 100 = 0

Step-by-step explanation:

You want an expression for "An unknown integer, multiplied by the unknown integer minus a different unknown integer, equals 100."

Let x represent the unknown integer, and y represent the different unknown integer. Their difference will be (x -y). When that is multiplied by x and the result equal to 100, we have ...

  x(x -y) = 100

Eliminating parentheses using the distributive property, we have ...

  x·x -x·y = 100

  x² -xy = 100

Subtracting 100 gives an expression equal to zero:

  x² -xy -100 = 0 . . . . . . . matches choice D

Answer:

A: s=75w

B: s= 75(16)

s=1200

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

A linear function will always increase or decrease by the same amount:

The first one adds eight for every increase of 1 in the x value

The third one subtracts three for every increase of 1 in the x value

However,

The second one starts by adding three, and then adds 1.5 for the rest

The second table is nonlinear

Answer:

see explanation

Step-by-step explanation:

Given that 40 people liked cats, that is 20 women and 20 men

Then the dual bar representing 20 is made up of 4 frequency bars

Then each frequency bar represents 20 ÷ 4 = 5 people

Thus

dogs = 25 (men) + 30 (women) = 55

hamster = 15 ( men) + 5(women) = 20

other = 10(men) + 15(women) = 25

Favourite pet frequency table

favourite pet     frequency

    cat                      40

    dog                     55

   hamster               20

     other                  25

A total of 40 + 55 + 20 + 25 = 140

Answer:   112cm

Step-by-step explanation: to find the volume of a pyramid you do L*W*H/3 so if the dimensions are 6,7 and 8 all you have to do is multiply 6 by 7 ( thats 42) and then 42 times 8 (336) then divide by 3 which will get you 112.

Answer:

750 adult tickets

486 student tickets

Step-by-step explanation:

5 x 150=750 adult tickets

486 student tickets

Plz give brainliest  need 1 more

Answer:

Step-by-step explanation:

448 - 66 = 382

448 physics books and 382 biology books

Answer:

domain: (-infinity,infinity);

range: f(x)>= 0

Step-by-step explanation:

f(x) = 2|x – 4|

The domain is the input values or the values that x can take

We can use any value we want for x

Domain: -infinity to infinity

The range is the output values

Since it is an absolute value, the smallest value it can take is 0, it can increase as large as it wants

Range: 0, infinity

Answer:

Multiplication

Step-by-step explanation:

Follow PEMDAS, so first you would sub in the 5 then work in the parentheses so you would multiply the 5

Your answer here is

C. nx 0.14

Answer:

14

Step-by-step explanation:

the distance between -6 and 8

6 + 8

= 14

Thus, the distance between -6 and 8 is 14

Answer:

Common ratio = -8

Step-by-step explanation:

The common ratio of the geometric sequence will be - 8.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The geometric sequence is,

⇒ 3/8, -3, 24, - 192,

Now,

Since, The geometric sequence is,

⇒ 3/8, -3, 24, - 192,

Hence, The common ratio = Second term ÷ First term

                                         = - 3 ÷ 3/8

                                         = - 3 × 8/3

                                         = - 8

Thus, The value of common ratio = - 8

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this is the explanation

Step-by-step explanation:

5x=75

22+5x=97

11y-5=106

7y+13=83

to conclude it all adds up to 360

360=83+106+97+75

Answer:

3.75Km

Step-by-step explanation:

to find Average speed you do distance over time so it would be 225/25=3.75

Answer:

look pal I will help I just need you to keep comening me

Answer with Step-by-step explanation:

a.If the circle has circumference of [tex]6\pi[/tex] in,then it has a diameter of 3 in.

Circumference of circle=[tex]6\pi[/tex]in

We know that

Circumference of circle=[tex]2\pi r[/tex]

Using the formula

[tex]6\pi=2\pi r[/tex]

[tex]r=\frac{6\pi}{2\pi}=3[/tex]in

Diameter of circle=[tex]2\times 3=6[/tex]in

It is false.

b.f the circle has diameter of 2 inches,then it has a circumference of 6.28 in.

Diameter,d=2 in

Circumference of circle=[tex]\pi d=3.14 \times 2=6.28[/tex]in

It is true.

c.If the circle has a circumference of [tex]2\pi[/tex]in then it has an area [tex]\pi[/tex] square inches.

Circumference=[tex]2\pi[/tex]in

[tex]2\pi r=2\pi[/tex]

[tex]r=\frac{2\pi}{2\pi}=1[/tex]in

Area of circle=[tex]\pi r^2=\pi(1)^2=\pi in^2[/tex]

It is true.

d.If the circle has a circumference of [tex]\pi[/tex]in then it has an area [tex]0.5\pi[/tex] square inches.

Circumference=[tex]\pi[/tex]in

[tex]2\pi r=\pi[/tex]

[tex]r=\frac{\pi}{2\pi}=\frac{1}{2}in[/tex]

Area of circle=[tex]\pi(\frac{1}{2})^2=0.25\pi in^2[/tex]

It is not true.

e.If the circle has a radius of 1.5 inches,then it has an area of 7.065 square inches.

Radius,r=1.5 in

Area of circle=[tex]3.14\times (1.5)^2=7.065in^2[/tex]

It is true.

Answer:

Option C, x = 6

Step-by-step explanation:

Step 1:  Divide both sides by -8

[tex]-8x = -48[/tex]

[tex]-8x / -8 = -48/-8[/tex]

[tex]x=6[/tex]

Answer:  Option C, x = 6

Answer:

x = 6

Step-by-step explanation:

Let's solve your equation step-by-step.

−8x = −48

Step 1: Divide both sides by -8.

−8x /−8  =  −48 /−8

x = 6

Answer: x ≤ 120

Step-by-step explanation: To get x by itself in this inequality, since it's being divided by -6, we must multiply both sides by -6 just like we would if we were solving an equation.

But here is the trick you have to

watch out for with inequalities.

When you multiply or divide both sides of an inequality by a

negative, you must switch the direction of the inequality sign.

So our second step in this problem reads x ≤ 120.

Please give this idea your full attention. Even the most advanced algebra students will sometimes forget to switch the direction of the inequality sign when multiplying or dividing both sides of an inequality by a negative.

Answer:

x = 9

Step-by-step explanation:

6² = 4·x

36 = 4x

x = 36/4

x = 9

Answer: x=9

X/6= 6/4

Crosses multiply

4x=36

Divide by 4

X=9

Step-by-step explanation:

Answer:

Domain:  (-infinity, infinity),  Range:  (-infinity, infinity)

Step-by-step explanation:

This is an odd function.  The graph passes through (0, 0), starting in Quadrant 3 and continuing into Quadrant 1.

There is a point on the graph for every input value, and so the domain of the cube function is (-infinity, infinity).  Similarly, the range is (-infinity, infinity).

The range and domain of a cube root function are [0, ∞).

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

For example f(x) = x²

Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.

Cube root function is given as;

y = [tex]x^{1/3}[/tex]

Now as x increases (x > 0) y is also increasing although slower to x then still it is increasing.

So,

x → ∞ ⇒ y → ∞

For x < 0 it will become an imaginary number so it will not be defined.

Hence "The range and domain of a cube root function are [0, ∞)".

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Answer:

The answer is B.

Step-by-step explanation:

B. No, because they have a different radius length.

The two spheres are not congruent because they have a different radius length.

If two shapes are similar in size and shape, they are congruent. We can also state that if two shapes are congruent, then their mirror images are identical.

Given:

Sphere 1: Diameter = 12 cm

Sphere 2: Radius = 7 cm

The radius of Sphere 1 is 6 cm and sphere 2 is 7 cm and they are not equal.

Also, Volume of Sphere 1= 4/3 πr³

                                          =904.32 cm³

and, Volume of Sphere 2 = 4/3 πr³

                                          = 1,436.02 cm³

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Given:

The length of a basketball court is twice its  width.

The perimeter of the perimeter is 150 feet.

To find the length and width of the basketball court.

Formula

The perimeter of the rectangle is

[tex]P = 2(l+b)[/tex]

where, l be the length of the rectangle and

b be the width of the rectangle.

Now,

As per the problem,

Let, the width be [tex]x[/tex], so the length be [tex]2x[/tex]

So,

The perimeter is = [tex]2(x+2x) = 6x[/tex]

According to the problem,

[tex]6x = 150\\or, x = \frac{150}{6}[/tex]

[tex]or, x = 25[/tex]

Therefore,

the width of the court is 25 ft and length = 2×25 = 50 ft

Hence,

The length and width of the basketball court is 50 ft and 25 ft respectively.

Final answer:

The width of the basketball court is 25 feet and the length is 50 feet.

Explanation:

Let's assume the width of the basketball court is 'x' feet. Since the length is twice the width, we can say the length is '2x' feet.

The perimeter of a rectangle is calculated by adding all of its sides. So, in this case, we have 2 lengths and 2 widths.

Perimeter = 2(length) + 2(width)

Given that the perimeter is 150 feet, we can write the equation: 150 = 2(2x) + 2(x)

Simplifying the equation, we get: 150 = 6x

Dividing both sides by 6, we find: x = 25

Therefore, the width of the basketball court is 25 feet and the length is 2x, which is 2 * 25 = 50 feet.

Answer:

23 degrees

Step-by-step explanation:

We see that arc LM is 67 degrees. By definition, that means that the central angle <LPM also equals 67 degrees.

We also see that arc LMO is just a semicircle, which means that it is 180 degrees, by definition (because a whole circle is 360 degrees and a semicircle is just half a circle). In addition, angle MPN has that little square in its angle, which means that it is 90 degrees. By definition, its arc MN is also equal to 90 degrees. Then:

Arc LMO = arc LM + arc MN + arc ON

180 = 67 + 90 + arc ON

Solving, we get that arc ON = 180 - 67 - 90 = 23 degrees. By definition, that means the corresponding central angle <NPO is also equal to 23 degrees.

Notice that angles NPO and KPL are vertical angles, which means that by definition, they are equal in degree measure. So, since <NPO = 23, then <KPL = 23. Arc KL is the corresponding arc of <KPL, so by definition, arc KL is also 23 degrees.

Thus, the answer is 23 degrees.

Hope this helps!

Answer:

23°

Step-by-step explanation:

Angle KL = Angle MK - Angle ML

= 90 - 67

= 23

Answer:

I'd say 16 meters since that's the height when they started on the roof. I don't know where you got 25. That's the highest the balloon went.