Twenty-five patients were seen in the emergency room yesterday. The number of
clinical laboratory and X-ray procedures performed on each patient were recorded
as: 5, 3, 7, 4, 6, 7, 2, 1, 4, 6, 3, 3, 2, 2, 5, 7, 4, 5, 3, 6, 2, 1, 4, 3,5. Calculate:
Mean (arithmetic) number of lab and X-ray procedures per patient.

Answer: domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

Step-by-step explanation:

DOMAIN: {4}

RANGE: {2,5,7,9}

FUNCTION? NO!

Your domain is always your x-coordinates, which are the first coordinates in a pair.

Your range is always your y-coordinates, which are the second coordinates in a pair.

When listing the points, it's important to remain a relation CANNOT be a function if the x's repeat, so luckily, they do not repeat.

Also, when listing points for your range, remember, if they repeat, you should only count one of the numbers, as you can see from the answer, there were two nines, but instead, I put one.

Answer:

See below.

Step-by-step explanation:

It is known that a parallelogram has rotational symmetry, rotated 180 degrees about it's center point. Now by definition a parallelogram is a quadrilateral with two pairs of parallel sides, hence it's name. If you were to take a look at the attachment below, you might see the connection.

Rotational Symmetry will make it so that side AB corresponds to CD, respectively AD and CB. The sides will coincide with one another after a 180 degree rotation, so that AB = CD, and AD = CB. Hence, in the same parallelogram, opposite sides are congruent.

Proved!

Answer:

3

Step-by-step explanation:

1/2(8+6)-2=4+x-2

1/2*14 -2 = 2+x

7-2=2+x

5=2+x

x=5-2

x=3

Answer:

7

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

The triangle most likely got translated. A translation is a rigid transformation. Rigid transformed shapes have the same angle measure and side lengths.

Option A should be the correct answer.

Side Note: You can also tell that the markings on the triangle are the same. This means that the shapes are congruent. They are just in different positions.

The true statement is (a) the transformation is rigid because corresponding side lengths and angles are congruent.

From the figure, we have the following highlights

The above means that the transformation from one triangle to the other is a rigid transformation

Hence, the true statement is (a)

Read more about rigid transformation at:

https://brainly.com/question/4057530

#SPJ5

Answer:

1 1/3 meter a minute

Step-by-step explanation:

it pretty simple i just added

Answer:

1 1/3

Step-by-step explanation:

Answer:

[tex]a = 30[/tex]

[tex]b = 40[/tex]

Step-by-step explanation:

Given

The attached triangle

Such that K is parallel to L

Required

Find the value of a and b

From the properties of parallel triangles;

Provided that k is parallel to l, then

[tex]\frac{a}{40} = \frac{a+15}{60}[/tex]

Multiply both sides by (60)(40)

[tex](60)*(40)*\frac{a}{40} = (60)*(40)*\frac{a+15}{60}[/tex]

[tex]60a = 40(a+15)[/tex]

Open Bracket

[tex]60a = 40*a+40*15[/tex]

[tex]60a = 40a+600[/tex]

Subtract 40a from both sides

[tex]60a - 40a = 40a - 40a + 600[/tex]

[tex]20a = 600[/tex]

Divide both sides by 20

[tex]\frac{20a}{20} = \frac{600}{20}[/tex]

[tex]a = \frac{600}{20}[/tex]

[tex]a = 30[/tex]

Similarly;

[tex]\frac{b}{40} = \frac{b+20}{60}[/tex]

Multiply both sides by (60)(40)

[tex](60)*(40)*\frac{b}{40} = (60)*(40)*\frac{b+20}{60}[/tex]

[tex]60b = 40(b+20)[/tex]

Open Bracket

[tex]60b = 40*b+40*20[/tex]

[tex]60b = 40b+800[/tex]

Subtract 40b from both sides

[tex]60b - 40b= 40b - 40b + 800[/tex]

[tex]20b= 800[/tex]

Divide both sides by 20

[tex]\frac{20b}{20} = \frac{800}{20}[/tex]

[tex]b = \frac{800}{20}[/tex]

[tex]b = 40[/tex]

Answer:

38

Step-by-step explanation:

38 because

Answer:

Alex : 18

Step-by-step explanation:

3 + 2 = 5

30 ÷ 5 = 6

6 × 3 = 18

6 × 2 = 12

Answer:

Reflect the graph of f across the y-axis and then reflect across the x-axis.

Step-by-step explanation:

Reflection rules:

Reflection over x -axis:(x,y)→(x,-y)

Reflection over y-axis : (x,y)→(-x,y)

Graph:[tex]y= f(x)=x^2[/tex]

We are given that the graph of f into the graph of g.

[tex]f(x) = x^2[/tex] and [tex]g(x) = -(-x)^2[/tex]

Reflect over y axis.

Reflected graph [tex]=(-x)^2[/tex]

Reflect the obtained graph over x axis

[tex]g(x)=-(-x)^2[/tex]

So, Option B is true

Hence Reflect the graph of f across the y-axis and then reflect across the x-axis.

Answer:

i reflected it over the x and y axis tho

Step-by-step explanation:

bro trust me

Answer:

Itz B.

Step-by-step explanation:

To form a triangle to two smaller sides have to be able to add up to be greater than the big side

Answer:

9 possible combinations: RGB, RYG, RGB, OYG, OGB, OBP, YGB, YBP, GBP

Step-by-step explanation:

Let's see what are the possible combinations:

3+4= 7 so possible 3rd side is 5

3+5= 8 so possible 3 rd side is 7

3+7= 10 so possible 3rd side is 5 or 9 (5 is repeat of the one above)

3+9= 12 so possible 3rd side is 7, see one above

3+12= 15 so possible 3 rd side is none

4+5=9 so possible 3rd side is 7

4+7= 11 so possible 3rd side is 9

4+9= 13 so possible 3rd side is 12

5+7= 12 so possible 3rd side is 9

5+9= 14 so possible 3rd side is 12

7+9= 16 so possible 3rd side is 12

So the possible 9 combinations are:

Answer:

d

Step-by-step explanation:

2(7)+6=20

14+6=20

20=20

Answer:

2x + 6 = 20

2x = 20 - 6

2x = 14

Divide both sides by 7

x = 7

That's option D.

Hope this helps.

Answer:

The equivalent of 5.651 mi is 9945.76  yards

Step-by-step explanation:

Given:

Length of lake = 5.651 mi

Required:

Length of bridge in yards

From table of facts;

1 mile = 1760 yards

This implies that

5.651 miles will be:5.651 * 1760 yards

5.651 * 1760 yards = 9945.76  yards

5.651 * 1760 yards = 9945.8  yards (Aproximated)

Hence, the equivalent of 5.651 mi is 9945.76  yards

Answer:

[tex]\frac{x^{12}y^{4}}{z^3}[/tex]

Step-by-step explanation:

Step 1: Multiply exponents

[tex]\frac{y^{6/6}z^{-6/2}}{x^{-12}y^{-6/2}}[/tex]

Step 2: Simplify

[tex]\frac{yz^{-3}}{x^{-12}y^{-3}}[/tex]

Step 3: Flip the negative exponents

[tex]\frac{x^{12}y^{4}}{z^3}[/tex]

Answer:

The A) ΔABC ≅ ΔEDC

Step-by-step explanation:

The AAS congruence method requires 2 angles and their un-included side to be congruent. ∠A ≅ ∠E due to the markings, ∠C ≅ ∠C because they are vertical angles, and AB ≅ ED due to the markings. 2 angles and their un-included side are congruent.

As for the congruence statement, A is the correct answer because ∠A ≅ ∠E, ∠B ≅ ∠D, and ∠C ≅ ∠C. The order of the naming of the triangles aligns to the angle's congruence.

Answer:

A) triangle ABC is congruent to triangle EDC

Step-by-step explanation:

The AAS method of proving congruence of triangles uses two angles and a non-included side of the triangle. If two angles and the non-included side of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Let's see what we have in this problem:

<ACB and <ECD are congruent since they are vertical angles.

<A and <E are congruent by given.

Sides AB and ED are non-included sides and are congruent.

Since we have two angles and a non-included side of a triangle and the corresponding parts of another triangle, the triangles are congruent by AAS.

Now we need the statement of congruence.

Angles ACB and ECD are corresponding angles, so the letter C must appear in both triangles in the same position.

Angles A and E are corresponding angles, so the letters A and E must appear in both triangles the same position.

We already have CA and CE. The last angles left are corresponding angles B and D, so we get triangle CAB and triangle CED. Since a triangle may be named using any order of the vertices, we can rename the triangles ABC and EDC and maintain the same corresponding vertices.

Answer: A) triangle ABC is congruent to triangle EDC

Answer:

x = [tex]-7\frac{2}{3}[/tex]

Step-by-step explanation:

=> 6(2x+11) + 15 = 3x+12

(Expand the brackets)

=> 12x+66+15 = 3x+12

(Adding 66+15)

=> 12x+81 = 3x+12

(Subtracting 81 and 3x to both sides)

=> 12x-3x = 12-81

=> 9x = -69

(Dividing both sides by 9)

=> x = [tex]\frac{-69}{9}[/tex]

(Simplifying)

=> x = [tex]\frac{-23}{3}[/tex]

(Converting it into mixed form)

=> x = [tex]-7\frac{2}{3}[/tex]

So, x = [tex]-7\frac{2}{3}[/tex] will make the equation true.

Answer:hello

The answer is 7

Step-by-step explanation:at first solve this6(2x-11)=12x-66

Then write 12x-66+15

Then we have this 12x-66-15=3x+12

Then we have to write (x) in the left side and number in right side

12x-3x=66-15+129x=63

X=7

Good luck

Answer:

1,242,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3.25a+4a=2-5

0.75a=-3

a = -4

Tell me if its right

Answer:

I think there is an error in the question because

(f-g) = -4

(f-g) (7) = NO SOLUTION

Step-by-step explanation:

[tex]f(x) = -9x + 2 \\g(x) = -9x + 6\\(f - g)(7)\\(f - g) = -9x + 2 - (-9x+6)\\(f - g) = -9x +2 +9x-6\\(f - g) = -9x +9x+2-6\\(f - g) = -4[/tex]

Answer:

[tex]A = 20,000(0.85)^t[/tex]

Step-by-step explanation:

We will use the formula for compound interest here

where [tex]A = p( 1 + r)^t[/tex]

   A=future value  for any sum

   P=present value of the sum

   r= yearly interest rate, it should be expressed in  decimal

   t=time period , it should be in years

______________________________

given in the problem

p = $20,000

r = 15% (in decimal 15/100 = 0.15)

t is the time for which equation is to be model to find future value p

since, rate is for depreciation we need to take negative value of rate as value for computer will decrease

thus

r = -0.15

using the above values in formula  [tex]A = p( 1 + r)^t[/tex]

[tex]A = p( 1 + r)^t\\A = 20,000(1 - 0.15)^t\\A = 20,000(0.85)^t[/tex]

Thus, model  equation for the value of the computer is [tex]A = 20,000(0.85)^t[/tex]

Answer:

15

Step-by-step explanation:

30/2 = 15

Answer:

7

Step-by-step explanation:

Hey, sorry if this is a little late, but think of the tiles in an arrangement where 4 fit into a rectangle type thing. Now, since you want to find the maximum number of boards, find the closest number that you can multiply by 4 to get something close to 30. Here, you can see that 7x4=28, which is both an even number and the closest number to 30 as you can get. So, the answer is 7.

Answer:

y = (1/2)(x) + 1/2

Step-by-step explanation:

The x-intercept is (-1, 0) and the y-intercept appears to be (0, 1/2).

As we go from the x-intercept to the y-intercept, x increases by 1 and y increases by 1/2.  Thus, the slope of the line is m = rise / run = 1/2.

Knowing that m = 1/2 and b = (0, 1/2), we can write the equation of this line in slope-intercept form as

y = (1/2)(x) + 1/2

Answer:

option b

Step-by-step explanation:

[tex] \sqrt{ \frac{5}{3} } [/tex]

[tex] \frac{ \sqrt{5} }{ \sqrt{3} } [/tex]

the denominator is in the surd form, so it must be rationalized

Answer:

5/14

Step-by-step explanation:

Multiply.

(-5 × -1 × 4) / (7 × 8)

20/56

Simplify.

5/14

Answer:

The answer is [tex]\frac{5}{14}[/tex].

Step-by-step explanation:

1. -5 × [tex]\frac{-1}{7}[/tex] =  [tex]\frac{5}{7}[/tex]

2.  [tex]\frac{5}{7}[/tex] · [tex]\frac{4}{8}[/tex] = [tex]\frac{20}{56}[/tex]

3. Simplify:

[tex]\frac{20}{56}[/tex]  = [tex]\frac{5}{14}[/tex]

Answer:

[tex]g(x) = \frac{1}{9} \,x^2[/tex] which agrees with option A in the list of possible answers

Step-by-step explanation:

A vertical compression by a factor 9 is represented by the transformation:

[tex]\frac{1}{9} \,f(x) = \frac{1}{9} \,x^2[/tex]

Therefore the answer to the problem is:

[tex]g(x) = \frac{1}{9} \,x^2[/tex]

Answer:

3i + 63j

Step-by-step explanation:

Step 1: Replace the variables with the given statements

5(3i+9j) - 3(4i-6j)

Step 2: Distribute

15i + 45j -12i + 18j

Step 3: Combine like terms

3i + 63j

Answer:

Y = 2

Step-by-step explanation:

For point (x1,y1) and (x2,y2) on coordinate plane if is divided in ratio of m:n.

Then point of division is given by

(n*x1+m*x2)/ m+n,  (n*y1+m*y2)/ m+n

________________________________

Given point

c = (9,6)

d = (5,1)

ratio = 4:1

using the above formula , point of division is

x= (1*9+4*5)/ 4+1                     y=  (1*6+4*1)/ 4+1

x= (9+20)/ 5                             y=  (6+4)/ 5

x= 29/ 5                                    y=  10/ 5 =2

Thus, answer is y = 2

Answer:

2 is correct

Step-by-step explanation: I got it right on test

Answer:

x ≈ 31.3°

Step-by-step explanation:

We can use sin∅ to solve this:

sinx = 13/25

x = [tex]sin^{-1}(13/25)[/tex]

x = 32.3323