The number of murders and robberies per 100,000 population for a random selection of states is shown.

Answer:

21.07

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Percent means one out 100%

So:

100/8=12.5

2. Multiply by the number of spaces that are not yellow!

12.5*6=

75%

Answer: 75%

Other than the unit of measurement i am genuinely confused by this because (as far as I know) there is no possible way of figuring this out. The unit is obviously meters but I have no idea what the answer is. You should ask your teacher to explain it to you because it's confusing.

Answer:

81x because 9x9=81x so 81x is your answer

Answer:

this was in the other room and the

Step-by-step explanation:

times to go home and amen and keep me

Recall that the equation of a line that passes through two points is given by the following formula:

Notice that the above formula gives us the equation of the line in point-slope form. Substituting the given values in the above formula, we get:

Simplifying the above result, we get:

Now, taking the above equation to its standard form, we get:

Answer:

-31.5

Step-by-step explanation:

36(0.25)+ 42(-1)-18(0.25)+6
9-42-4.5+6

=-31.5

The radius of the circular field with area 14400 square feet is 67.7ft

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

The radius of a circular field with an area of 14400 square feet can be calculated by the formula:

Area of a circle(A) = [tex]\pi r^{2}[/tex]

where A = 14400[tex]ft^{2}[/tex]

[tex]\pi[/tex] = constant which is 3.142

A = [tex]\pi[/tex][tex]r^{2}[/tex], where A = area of circle , r = radius

divide both sides by c

A/[tex]\pi[/tex] = [tex]r^{2}[/tex]

[tex]r^{2}[/tex] = A/[tex]\pi[/tex]

r = [tex]\sqrt{\frac{A}{\pi } }[/tex]

Substitute the values of A and [tex]\pi[/tex]

r = [tex]\sqrt{\frac{14400}{3.142} }[/tex]

r = 67.7ft

In conclusion the radius of the field is 67.7ft

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Thus, the equation of the straight line passing through the point (1,4) and (2,7) is: y=3x+1

A line passing through the coordinate plane also passes through points (1,4) and (2,7)

Let point(1,4) be=P

let point(2,7) be=Q

The formula for the equation of a straight line when two points are given is given as:

y-y1=m X (x-x1) + c

where m=y2-y1/x2-x1

here y= Y axis

x= X axis

m= Slope of the line

c= constant

Here taking P as point 1 and Q as point 2 we get:

x1=1     y1=4

and

x2=2   y2=7

m=y2-y1/x2-x1

Now putting values

m=(7-4)/(2-1)

m=3/1

Thus m=3

now putting values in the equation

(y-4)=3(x-1) +c

y-4=3x- 3+c

y=3x-3+4+c

y=3x+1+c

Since Line passes through point Q(2,7) it satisfies the equation.

now putting the values of point Q in the equation to get the constant:

y=3x+1+c

(7)=3(2)+1+c

7=6+1+c

7=7+c

7-7=c

c=0

Thus, the constant is 0.

Thus, the equation of the straight line passing through the point (1,4) and (2,7) is: y=3x+1

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People in large cities use taxis to get from one location to another; the cost is $25.20 every 36 miles, and a 47-mile taxi ride will cost $32.9.

Multiplication Rule If events A and B occur in the same sample space, the probability of both A and B occurring is equal to the probability that A occurs multiplied by the probability that B occurs, given that A has occurred.

Returning to the previous example, the first response is correct because it follows the BODMAS principles, which state that division can be done before multiplication and must be done before addition. Multiplication happens before addition.

Given,

Cost every 36 miles = 25.20

Cost of one mile = Cost for 36 miles / 36

Cost of one mile = 25.20/36

Cost of one mile = 0.7

Cost of 47 miles = Cost of one mile ×  47

Cost of 47 miles = 0.7 ×  47

Cost of 47 miles = 32.9

47 miles taxi ride will cost 32.9

The complete question is:

In large cities people out and take taxis to get from one place to another the cost is $25.20 every 36 miles how much is a 47 mile taxi ride

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Answer:

There's nothing that can be done with the given information

Step-by-step explanation:

It can be seen that it is a repeating decimal because the division is continuous

We can decompose the shape into two triangles, one with a base of 4 yds and a height of 5 yds, and the other with a base of 4 yds and a height of 13 yds.

The area of a triangle is calculated as follows:

Then, the area of the triangles are:

And the are of the shape is 10 + 26 = 36 yd²

3x + 2y - 2z = 17

when x = 5, y = 2, and z = 1

Given

3x + 2y - 2z

For x = 5, y = 2 and z = 1, we have:

3(5) + 2(2) - 2(1)

= 15 + 4 - 2

= 17

Using ratios we can conclude that Jim will get £45.

So, the money Jim gets will be:

The ratio, that they got money in is 1:3.

Then Jim will bet:

Therefore, using ratios we can conclude that Jim will get £45.

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By definition, you know that dilations have a scale factor, this is labeled k. To dilate something in the coordinate plane, multiply each coordinate by the scale factor.

If there is a reduction, then 0 < k < 1.

If there is an enlargement, then k > 1.

So, you have

Therefore, the correct answer is

For all three given expression; No, b is not equivalent to a and c.

For the given question, the three expressions are-

a: 3(x - 1) + 4

Simplify the expression;

= 3x - 3 + 4

Add the constant

= 3x + 1  .....1

b: 3x - 1 ......2

c: 3(x - 2) + 7

Simplify the expression;

3x - 6 + 7

Add the constant

3x + 4 .....3

The result from eq 1, 2 and 3 are-

a = c ≠ b

Thus, No, expression b is not equivalent to a and c.

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Answer:

perpendicular slope = 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + y = 9 ( subtract x from both sides )

y = - x + 9 ← in slope- intercept form

with slope m = - 1

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-1}[/tex] = 1

The measure of the angle ∠ABD is calculated as 138° from the given data and figure.

The total of a triangle's three internal angles is 180 degrees, according to the angle sum property. When the values of the other two angles are known, the angle sum property is utilized to compute the measure of an unknown interior angle.

SAS stands for Side-Angle-Side Similarity. If the proportion of the two sides of one triangle is the same as the proportion of the two sides of another triangle, and the angle inscribed by the two sides of both triangles is equal, two triangles are said to be similar. 

Given: ΔACD and ΔBCD are isosceles.

          AD ≅ AC

          BD ≅ BC

         ∠BAC = 18°

         ∠BDC = 48°

We need to determine the measure of  ∠ABD.

Since,   AD ≅ AC

∠DAB = ∠BAC = 18°

Since, BD ≅ BC

∠BDC = ∠BCD = 48°

By triangle's angle sum property,

∠BDC + ∠BCD + ∠DBC = 180°

48° + 48° + ∠DBC = 180°

∠DBC = 84°

Also, ∠ABD = ∠ABC  [By SAS rule of ΔABD + ΔABC]

From the figure we can see that,

∠DBC + ∠ABD + ∠ABC = 360°

84° + 2∠ABD = 360°  [∵ ∠ABD = ∠ABC]

2∠ABD = 276

∠ABD = 138°

Therefore, the measure of the angle ∠ABD is calculated as 138° from the given data and figure.

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Answer: 20 quarters

Step-by-step explanation:

As we look at this problem we can convert $6.50 dollars into 26 quarters. Us already knowing that Carolina has $1.50 (6 quarters) we can take the two numbers and minus both of them. 26 quarters ($6.50) - 6 quarters ($1.50) = 20 quarters($5.00)

Step-by-step explanation:

every $ is equivalent to 4 quarters.

every half-$ is equivalent to 2 quarters.

after all, 1 quarter = $0.25.

so, the equation is

4×1.5 + g = 4×6.5

or simplified

6 + g = 26

and from there we get then immediately that

g = 20

In this exercise we have to use the knowledge of depth to be able to calculate the depth that is being seen by the telescope, in this way we can say that:

45 feet deep

First, knowing that the formula for the parabola is:

4py=x²

Now P is the distance from the vertex to the focus or to the directrix which is equal to 20, we can say that:

4(20)y=x²

80y=x²

Now we just should use individual knwon financial worth of X fashionable the maximum point of the dish, exist the measurement across object of the eating receptacle exist 120 extremities that is to say the maximum x, and we understand information that 120 extremities is heavy distance middle from two points the expansive -x and x, so those hopeful: -60 and 60.

80y=x²

80y=60²

80y=3600

y=45

Answer:

75ft

Step-by-step explanation:

We can let the parabola open upward......so we will  have the form

4a ( y - k)  =  (x - h)^2

The distance from the vertex to the focus =  20   = a

We can let the vertex be   ( 80, 30)

So we have the form

4(20) ( y- 30)  = (x - 80)^2   simplify

80 ( y - 30)  = ( x - 80)^2

Since the diameter  is 120 ft...the radius is 60 ft.....so we can let one point on the parabola be   ( 80 + 60 , a) =

(140 , a)......where a  is the height of the dish....so we have that

80 ( a - 30) = (140 - 80)^2

80 ( a - 30)  = (60)^2

80 ( a - 30) = 3600      divide both sides by  80

a -  30 =  45      add 30 to both sides

a = 75 ft  = the height of the dish

We need to find the number of students that scored above 50.57.

That number is given by the sum of all heights of the bars after 50.5:

Heights of the bars with scores above 50.5:

• bar labeled 1: ,100

• bar labeled 2: ,250

• bar labeled 3: ,200

• bar labeled 4: approximately ,190

• bar labeled 5: approximately ,60

Then, adding those values, we obtain:

Answer: D. 800

Given that the ratio is $4 per hour, we just have to find the table that shows this relation.

Observe that table C shows that the Total Money Earned is 4 times the Hours worked.

a. Since the vertical component of velocity v' = 241.05 mph > v" = 229.43 mph, the first plane is rising faster

b. I would change the angle of elevation of both planes

Two planes at started to take off at the same time. Plane One took off from the tarmac going 375 mph at an angle of elevation of 40° and Plane Two took off from the tarmac going 400 mph at an angle of elevation of 35°, to fidn which plane is rising faster, we compute their vertical component of velocity of the plane .

The vertical component of velocity is v' = vsinФ where

For the first plane

So, v' = vsinФ

= (375 mph)sin40°

= (375 mph) × 0.6428

= 241.05 mph

For the second plane

So, v" = vsinФ

= (400 mph)sin35°

= (400 mph) × 0.5736

= 229.43 mph

Since v' = 241.05 mph > v" = 229.43 mph

So, the first plane is rising faster

To make both planes rise at the same rate, I would change the angle of elevation of both planes

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Answer:

The correct answer is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

The data set that is represented in the histogram is {5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13} Definition of a histogram An histogram is a graph that organises numerical data. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval. the frequency is usually on the vertical axis while the class interval is usually on the horizontal axis.Explaining the graphLooking at the histogram,the age group of 5 - 10 have 3 children in the carpool. the age group of 11 - 13 have 7 children in the carpool. the age group of 14 - 18 have 4 children in the carpool. This means that there are 14 children in the carpool. The correct option should have 14 ages that range between 5 and 18. Here are the options of this question: A. {3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4} B. {5, 10, 4, 11, 12, 13, 12, 13, 12, 11, 14, 14, 19, 18} C. {5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13} D. {3, 5, 10, 11, 13, 7, 18, 14, 4}To learn more about histograms, please check: brainly.com/question/13053780

The measures of the interior and exterior angles ∠1, ∠2, ∠3, ∠4, ∠5, ∠7, ∠8, and ∠9 are 90°, 90°, 90°, 122°, 58°, 58°, 148°, 32°, and 148°, respectively.

We are given a triangle. One of the angles is 122 degrees, as shown in the diagram. We need to find all the interior and exterior angles. The vertically opposite angles are equal. The angle ∠4 is vertically opposite to the given angle. So, ∠4 = 122°. The angle ∠5 and the given angle form a linear pair. So, the angle ∠5 = 180° - 122° = 58°. The angle ∠6 is vertically opposite to the angle ∠5. So, the angle ∠6 = 58°. The angles ∠1, ∠2, and ∠3 are angles made by coordinate axes that are perpendicular to each other. So, the angles ∠1 = ∠2 = ∠3 = 90°. Now we use the angle sum property of a triangle. The sum of all the interior angles of a triangle is 180°. So, we can write the equation : ∠6 + ∠1 + ∠8 = 180°. So, ∠8 = 180° - (∠6 + ∠1) = 180° - (58° + 90°) = 180° - 148° = 32°. The angles ∠8 and ∠9 form a linear pair. So, ∠9 = 180 - 32° = 148°. The angle ∠7 is vertically opposite to the angle ∠9. So, the angle ∠7 = 148°.

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Answer:

$11.50

Step-by-step explanation:

46/4=11.5

In money have to make it the hundredths, so it's $11.50.

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Answer:

$11.50

Step-by-step explanation:

$46 ÷ 4 = 11.5