Decide if each set might produce one or more gaps when represented by a histogram. 1.The ages of students in a sixth-grade class. 2. The ages of people in a elementary school. 3. The ages of people eating in a family restaurant.
4. the ages of people who watch football. 5. The ages of runners in a marathon.

Using translation concepts, it is found that the equation of the transformed function is:

y = |x + 3| - 2.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The absolute value function is given by y = |x|, and has vertex at (0,0). After the transformations, the function has vertex (-3, -2), which means that:

Thus, the equation of the function is now given by:

y = |x + 3| - 2.

More can be learned about translation concepts at https://brainly.com/question/4521517

Answer:y = |x + 3| - 2.

Step-by-step explanation:  B on edge

Answer:

the answer is d , sundiata!

Step-by-step explanation:

the

Answer:

108 inches

Step-by-step explaination:
Looking at the picture I drew, we can assume that 24 = 4x
and so x=6 and 3x=18.
6 times 18 is 108.

Answer:

Brand A

Step-by-step explanation:

IN the end buying it for $3.75/lb would end up being cheaper then buying it for $0.18/oz. Hopethis helps!

Answer:

42.5

Step-by-step explanation:

(180-95)÷2=42.5

{11, 17, 27}

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Explanation:

Let's go through the answer choices.

Now return back to choice C. Notice how adding any two sides leads to a sum larger than the third side

The three conditions of the triangle inequality theorem are met, so a triangle is possible for choice C.

Answer:

31.63495408

Step-by-step explanation:

Find area of trinagles and semicurucles and then add up

Answer:

Step-by-step explanation:

The figure comprises of two semicircles and a triangle.

The two semicircles add to one full circle with the diameter of 5 ft.

Area of circle

Area of triangle

Total area

Answer:

La masa atómica del carbono (C) es 12 g/mol; para el oxígeno (O) es de 16 g/mol. Esto significa que 6.022 x 1023 átomos de carbono pesan 12 gramos. Según esto, el peso molecular del CO2 es: 12 g/mol [C] + 2 x 16 g/mol [O2] = 44 g/mol.

1 molécula de Nitrógeno por su masa atómica de 14.01 más 3 moléculas de Hidrógeno por su masa atómica de 1.008 = (1 * 14.01) + (3 * 1.008) = 14.01 + 3.024 = 43.038 u = 17.03 masa molecular = 17.03 g/mol de masa molar en el amoníaco.

Answer:

0.9952076759

Step-by-step explanation:

Probability that all three survive

= 0.9984 × 0.9984 × 0.9984

= 0.9952076759

Answer:

A. 5/10

Step-by-step explanation:

Because the 5 in 256 is ine in tength's place. And 5/10 is 0.5 or 50

Answer:

490.87 ft^3.

Step-by-step explanation:

Radius = 1/2 * 5 = 2.5 ft.

Volume = π r^2 L

= π*2.5^2*25

= 490.87 ft^3

Answer:

1. Last years middle school and highschool softball teams.

2. I can't see the last option

3. Every girl at the local middle school.

4. A group of students at a college.

5. Survey the students selected blindly put of a box containing every students names.

Step-by-step explanation:

I hope these are correct. comment the last option for #2.

Answer:

What is the difference between entering a formula and entering data ??

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

First, identify the three vectors in component form (remember to have the direction angle for each vector account for the quadrants they are in!):

[tex]u=\langle90\cos220^\circ,90\sin220^\circ\rangle\\v=\langle 60\cos110^\circ,60\sin110^\circ\rangle\\w=\langle 40\cos30^\circ,40\sin30^\circ\rangle[/tex]

Secondly, we add them:

[tex]u+v+w=\langle90\cos220^\circ+60\cos110^\circ+40\cos30^\circ,90\sin220^\circ+60\sin110^\circ+40\sin30^\circ\rangle\approx\langle-54.824,18.531\rangle[/tex]

Thirdly, find the magnitude of the new vector:

[tex]||u+v+w||=\sqrt{(-54.824)^2+(18.531)^2}\\||u+v+w||\approx57.871[/tex]

And finally, find the direction of the new vector:

[tex]\theta=tan^{-1}(\frac{18.531}{-54.824})\\\theta\approx-18.675^\circ\approx-19^\circ[/tex]

Because our new vector is in Quadrant II, our found direction angle is a reference angle, telling us that the actual direction of our vector is 19° clockwise from the negative x-axis, which would be 180°-19°=161°

Thus, B is the best answer

Problem 2

To find the component form of a vector, we simply subtract the initial point from the terminal point. In this case, our initial point is at (7,-1) and our terminal point is at (1,6). We subtract the horizontal and vertical components separately:

[tex]\langle1-7,6-(-1)\rangle=\langle-6,7\rangle[/tex]

Thus, A is the correct answer

Problem 3

Again, subtract the initial point from the terminal point to find the vector, and then apply scalar multiplication:

[tex]-\frac{1}{2}v=-\frac{1}{2} \langle-8-8,10-4\rangle=-\frac{1}{2}\langle-16,6\rangle=\langle8,-3\rangle[/tex]

Thus, C is the correct answer

Problem 4 (top one in 4th image)

Remember that scalar multiplication only affects the magnitude of the vector and not the direction. Thus, [tex]-3u=-3\bigr[20\langle\cos30^\circ,\sin30^\circ\rangle\bigr]=-60\langle\cos30^\circ,\sin30^\circ\rangle[/tex], which means our magnitude is -60 and our direction remains 30°.

Thus, B is the correct answer

Problem 5 (fake #6, bottom one in 4th image)

Basically, whatever is in front of the i represents the horizontal component, and whatever is in front of the j represents the vertical component, so:

[tex]u=-3i+8j=\langle-3,8\rangle[/tex]

Thus, B is the correct answer

Problem 6 (real one, 5th image)

Recall:

Knowing these facts, let us compute the dot product:

[tex]u\cdot v=(-4*28)+(7*-49)=(-112)+(-343)=-455[/tex]

Since the dot product of the two vectors is not 0, then the vectors are not orthogonal, so we can eliminate choices A and B

To check if the vectors are parallel, find the angle between them:

[tex]\displaystyle\theta=cos^{-1}\biggr(\frac{u\cdot v}{||u||\:||v||}\biggr)\\\\\theta=cos^{-1}\biggr(\frac{-455}{\sqrt{(-4)^2+(7)^2}\sqrt{(28)^2+(-49)^2}}\biggr)\\\\\theta=cos^{-1}\biggr(\frac{-455}{\sqrt{16+49}\sqrt{784+2401}}\biggr)\\\\\theta=cos^{-1}\biggr(\frac{-455}{\sqrt{65}\sqrt{3185}}\biggr)\\\\\theta=cos^{-1}\biggr(\frac{-455}{\sqrt{207025}}\biggr)\\\\\theta=cos^{-1}\biggr(\frac{-455}{455}\biggr)\\\\\theta=cos^{-1}(-1)\\\\\theta=180^\circ[/tex]

So, since the angle between the two vectors is 180°, this implies that cosθ=-1, and the two vectors must be parallel.

Thus, D is the correct answer

Answer:

Step-by-step explanation:

The angle where chords cross is the average of the measures of the intercepted arcs. The angle that is the supplement of x° will be the average of interecepted arcs 60° and 80°.

  180° -x° = (60° +80°)/2

  180 -70 = x . . . . . . . . . . . divide by °, add x-70

  x = 110

__

The external angle where secants meet is half the difference of the intercepted arcs.

  59° = (180° -y°)/2

  118 = 180 -y . . . . . . . multiply by 2, divide by °

  y = 180 -118 . . . . . add y-118

  y = 62

Answer: multiply 10 to both terms and subrtact products

Step-by-step explanation:

10(5 - 2x)

multipy 10 to both terms

50  20x

subtract products

50 - 20x

Answer:

1. subtract 2×from get 3.×= 682+ 4672

Answer:

  (b)  cos(3π/10)

Step-by-step explanation:

The given expression matches the trig identity form for the cosine of the difference of two angles:

  cos(α-β) = cos(α)cos(β) +sin(α)sin(β)

__

To match the given expression exactly, we can choose ...

  α = π/2

  β = π/5

Then the difference is ...

  α -β = π/2 -π/5 = (5/10)π -(2/10)π = 3π/10

The given expression can be shortened to ...

  cos(3π/10)

__

Additional comment

Sometimes it can be difficult to remember when the signs in trig identities match, and when they differ. The fact that cosines of smaller angles have larger values can be a peg on which to hang that hat.

Answer: X+Y+5

Step-by-step explanation:

There is no single answer you have to write an equation.

Answer:

Vertex of y = − 3 x 2 + 18 x − 13 Ans: Vertex (3, 14)

Step-by-step explanation:

Explanation: x-coordinate of vertex: x = ( − b 2 a ) = − 18 − 6 = 3 y-coordinate of vertex: y = f(3) = -27 + 54 - 13 = 14 x-coordinate of the axis of symmetry is the same as the x-coordinate of the vertex: x = 3

we know that the multiplication comes first in the family then we start from left to right

4 x 5= 20

9-20 = -11

-11 + 6 = -5

there you go!

[tex]9 - 4 \times 5 + 6[/tex]

[tex]9 - 20 + 6[/tex]

[tex] - 11 + 6[/tex]

[tex] - 5[/tex]

Answer:

D) 576 cubic cm

Step-by-step explanation:

[tex]16 \times 9 \times 4 = 576[/tex]

Answer:

the answer is D

Step-by-step explanation:

volume =height × length × width

so 9×4×16= 576

Answer:

the answer ia true

Step-by-step explanation:

hope this helps

Answer:

2^3 = 2 * 2 * 2 which equals 8

Step-by-step explanation:

Answer:

[tex]f(x) = -x^2 - 2x + 8[/tex]

y-intercept is when x = 0:

[tex]\implies f(0) = -(0)^2 - 2(0) + 8=8[/tex]

So the y-intercept is (0, 8)

x-intercepts are when f(x) = 0:

[tex]\implies f(x)=0[/tex]

[tex]\implies -x^2 - 2x + 8=0[/tex]

[tex]\implies x^2 + 2x - 8=0[/tex]

[tex]\implies x^2 - 2x + 4x - 8=0[/tex]

[tex]\implies x(x - 2) + 4(x-2)=0[/tex]

[tex]\implies (x+4)(x - 2)=0[/tex]

Therefore:

[tex]\implies (x+4)=0 \implies x=-4[/tex]

[tex]\implies (x-2)=0 \implies x=2[/tex]

So the x-intercepts are (-4, 0) and (2, 0)

The vertex is the turning point of the parabola.  The x-value of the vertex is the x-value between the 2 zeros (x-intercepts).

Therefore, the x-value of the vertex is [tex]\sf \dfrac{x_1+x_2}{2}=\dfrac{-4+2}{2}=-1[/tex]

Substituting x = -1 into the function:

[tex]\implies f(-1) = -(-1)^2 - 2(-1) + 8=9[/tex]

So the vertex is (-1, 9)

The domain is the input values, so x = all real numbers.

The range is the output values, so the range is [tex]f(x)\leq 9[/tex]

Therefore, (-4, 0), (-1, 9), (0, 8) and (2, 0) are solutions of the function, HOWEVER they are not ALL the solutions.

All solutions of the function are:

[tex](x, -x^2 - 2x + 8)[/tex] for all real numbers of x