Evaluate piecewise functions

Answer:

this question is roung

Answer:

The length of OP is 25.

Step-by-step explanation:

The data provided is:

OR = 20

PR = 5

Assume that OR and PR are straight lines.

O_____________________R______P

Compute the length of OP as follows:

OP = OR + PR

     = 20 + 5

     = 25

Thus, the length of OP is 25.

Answer:

$0.40 per oz

Step-by-step explanation:

given that the cereal is $3.60 for a 9 oz box

i.e

9 oz ----> costs $3.60

1 oz ----> costs $3.60 ÷ 9 = $0.40

hence the unit rate is $0.40 per oz

Answer:

0.40 per ounce

Step-by-step explanation:

The question asks is to find the unit rate, or price per ounce.

To find this, we need to divide the price by the number of ounces.

price/ ounces

It costs $3.60 for 9 ounces of cereal.

$3.60/9 ounces

Divide $3.60 by 9 (3.60/9=0.4)

$0.4/ounce

It costs $0.40 per ounce of cereal.

Answer:

x = 55 degrees

Step-by-step explanation:

Angles of a triangle add up to 180 degree so we'll simply subtract the rest of the angles from 180 to get the value of x.

=> x = 180-75-50

=> x = 55 degrees

Answer:

55

Step-by-step explanation:

The sum of angles triangles will always be 180

75 + 50 is 135

180-35 = 55

Answer: 53.33 km/hr

Step-by-step explanation:

The total distance covered by car is 80 KM(40+40).

Now their are two cases:

Case 1) Distance covered 40km, speed 80km/h. Now we all know speed=Distance/ time

So Time taken is 0.5 hour.

Case 2) Now again distance covered is 40 km but speed is 40Km/h

So time taken is 1 hr

Now total distance traveled is 80KM. Total time taken is 1.5 hrs (0.5+1)

Average speed =Total Distance/Total Time

Average Speed = 80/1.5

Which is equal to 53.33km/h

Answer: she is 215m from her starting point

Step-by-step explanation:

The diagram representing the situation is shown in the attached photo. Triangle ABC is formed with AC representing her distance from her starting point.

Angle B = 28 + 90 = 118°

To determine AC, we would apply the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and B is the angle corresponding to b(AC). Likening the expression to the given triangle, it becomes

AC² = AB² + BC² - 2(AB × BC)CosAC

AC² = 60² + 180² - 2(60 × 180)Cos118

AC² = 3600 + 32400 - 21600Cos118

AC² = 36000 - 21600(-0.46947156)

AC² = 36000 + 10140.59

AC² = 46140.59

AC = √46140.59

AC = 215 m

Answer:

Her final score is 13

Step-by-step explanation:

To find the total score, we would add them all:

=> 30+(-10)+(-12)+(-15)+20

=> 30-10-12-15+20

=> 20-12-15+20

=> 8-15+20

=> -7+20

=> 13

Answer:13

Step-by-step explanation:

Answer:

Since we know the number 8 is in all 3 shapes we know D is 8. The clue after that tells us that C is brown. Since brown, purple, and orange are in the circle that means that D is either purple or orange but since the purple section has 5 and D is 8 we know that D is orange, B is purple, and B is 5. Since the blue section is only in the triangle, we know that F is blue. From the last clue we know that A is green. Since green and pink are in the rectangle only, G is pink. Using the third clue we know that E and F are 6 and 1 but we don't know which is which. Thankfully, since we know F is blue and the yellow section is 1, we can conclude that F is 6, E is yellow, and E is 1. We know that A and G are 3 and 4 but we don't know which is which, and we know C is 9. Since A's number is smaller than G's we know that A is 3 and G is 4.

Answer:

Reebs have 1 right angle

Step-by-step explanation:

Look at all the reebs. They all have 1 right angle!

Answer:

C

Step-by-step explanation:

Answer:given below

Step-by-step explanation:

sqrt x^2 +81= x + 10

x^2 + 81 = (x+10)^2

x^2 + 81 = x^2 + 20x + 100

so answer is:  

x^2 + 81 = x^2 +20x + 100

..HOPE IT HELPS YOU...ALL THE BEST

Answer:

The answer is D on egdge2020

Answer:

Option B is correct.

0.0166 is correct.

Step-by-step explanation:

The σrho is the standard error of the sample proportion and it is given as

σₓ = = √[p(1-p)/n]

where p = sample proportion = 55% = 0.55

n = sample size = 900

σₓ = = √(0.55×0.45/900) = 0.016583124 = 0.0166 to 3 s.f.

Hope this Helps!!!

Answer:

  perpendicular line through a point on a line

Step-by-step explanation:

The circle centered at C seems intended to produce point D at the same distance as point B. That is, C is the midpoint of BD.

The circles centered at B and D with radius greater than BC seems intended to produce intersection points G and H. (It appears accidental that those points are also on circle C. As a rule, that would be difficult to do in one pass.)

So. points G and H are both equidistant from points B and D. A line between them will intersect point C at right angles to AB.

Segment GH is perpendicular to AB through point C (on AB).

Answer:

Perpendicular line through a point on a line

Step-by-step explanation:

Answer:

  g + 13 = 76

Step-by-step explanation:

We are told to use the variable "g" for the number of gallons of gas in the tank. When we add 13 to that, we are told the sum is 76. When all numbers are in gallons, this translates to ...

  g + 13 = 76

Answer:Difference

Step-by-step explanation:

Answer:

i think is D

Step-by-step explanation:

because 2×7=21

3×21=63

and the parent still going

Answer:

its d

Step-by-step explanation:

its d cuz if you multiply 2 × 7 it will equal to 21

and then when you multily  them both youll

get 63   3×21=63

Answer:

Yes, in fact Bill exceeded his target by £2,200.

Step-by-step explanation:

Cost of the laptops = 50 x 400

= 20,000

Sold 40 at 30% profit

(40 x 400) x 1.30

= 20,800

Sold 10 at 15% profit

(15 x 400) x 1.15

= 6900

Total sales value

= 20800 + 6900 = 27,700

Bill's total sales are greater than his target, that is, £25,400>£25,000. So, we can say that Bill reached his target.

Note: Profit and loss are always calculated on C.P.

Bill buys 50 laptops for £400 each.

∴ His C.P. of each laptop = £400.

He sells them in two parts,

Part 1:

He sells 40 laptops at 30% profit on each laptop.

∴ Profit on each laptop = 30% of C.P. = 30% of £400 = £(0.3*400) = £120

∴ S.P. of each laptop = C.P. + Profit = £400 + £120 = £520

Total sales 1 = Number of laptops * S.P. of each = 40*£520 = £20,800.

Part 2:

He sells 10 laptops at 15% profit on each laptop.

∴ Profit on each laptop = 15% of C.P. = 15% of £400 = £(0.15*400) = £60

∴ S.P. of each laptop = C.P. + Profit = £400 + £60 = £460

Total sales 2 = Number of laptops * S.P. of each = 10*£460 = £4,600.

Bill's total sales after both parts = Total sales 1 + Total sales 2

or, Bill's sales = £20,800 + £4,600 = £25,400.

Since Bill's total sales are greater than his target, that is, £25,400>£25,000. So, we can say that Bill reached his target.

Learn more about the different aspects of buying and selling goods at

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Answer:

[tex]x = 6[/tex]

Step-by-step explanation:

Given

[tex]2y-x=-6[/tex]

Required

Determine the x intercept

To get the value of x intercept; we simply substitute 0 for y;

i.e. y = 0

[tex]2y-x=-6[/tex] becomes

[tex]2(0)-x=-6[/tex]

[tex]0-x=-6[/tex]

[tex]-x=-6[/tex]

Multiply both sides by -1

[tex]-1 * -x=-6 * -1[/tex]

[tex]x=-6 * -1[/tex]

[tex]x = 6[/tex]

Hence, the x intercept is 6

Answer:

ABC~WXY by AA

Step-by-step explanation:

In ΔABC

∠B = 90°

∠A = 27°

To Find ∠C

Angle sum property: The sum of all angles of triangle is 180°

∠A+∠B+∠C=180°

27°+90°+∠C=180°

∠C=180°-117°

∠C=63°

In ΔWXY

∠X = 90°

∠Y = 63°

We will use angle sum property

So, ∠W+∠Y+∠X=180°

90°+63°+∠W=180°

∠W=180°-(90°+63°)

∠W=27°

So, ∠A=∠W

∠B =∠X

∠C = ∠Y

So, ABC~WXY by Angle - Angle property.

Hence ABC~WXY by AA

Answer:

8

Step-by-step explanation:

Divide -2 by both sides of the equation to isolate the variable x

-2x/-2 = -16/-2

x  = 8

8 is the solution

Answer:

Yes, because both figures are rectangles and all rectangles are similar (B)

Question:

The complete question related to this found at brainly (question Id: 2996738) is stated below:

Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?

a. Yes, because corresponding sides are parallel and have lengths in the ratio 1/4

b. Yes, because both figures are rectangles and all rectangles are similar.

c. No, because the center of dilation is not at (0, 0).

d. No, because corresponding sides have different slopes

Step-by-step explanation:

Coordinates of rectangle EFGH

E (-4,4), F(4,4), G(-4,0), H (4,0)

EF = 8

FG =4

GH= 8

HE= 4

Coordinates of rectangle ABCD

A (-3,3), B(3,3), C(-3,0), D (3,0)

AB = 6

BC = 3

CD = 6

DA = 3

Find attached the diagram.

Image = EFGH, pre-image = ABCD

Scale factor = (sides of the image)/(sides of the pre-image)

= 8/6 = 4/3

Similar shapes have same shapes but different sizes. From the result obtained, the two shapes are similar with different sizes.

Rectangle EFGH is the result of a dilation of rectangle ABCD with a center of dilation at the origin.

Reason: the lines connecting the coordinates of both shapes meet at the origin. And also both figures are rectangles and all rectangles are similar (B)

Answer:

The speed increases (45—>47—>49) then decreases (48—>47) over time.

Step-by-step explanation:

The table that represents the speed of the car that increases and decreases as time increases is Table B.

Option B is the correct answer.

Speed is the ratio of the given distance and time.

It shows how fast an object is moving at a given time.

The formula is Distance / Time.

We can find the distance or time when the required values is given using this formula.

We have,

From the table,

We see that,

Time      5     6     7      8     9

Speed   45   47   49   48   47

This indicates that,

As time increases, the speed increased from 5 minutes to 7 minutes and decreases from 7 minutes to 9 minutes.

Thus,

The table that represents the speed of the car that increases and decreases as time increases are in Table B.

Learn more about speed here:

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9514 1404 393

Answer:

  all 4 acute angles: 15 degrees

  all 4 obtuse angles: 165 degrees

Step-by-step explanation:

The sum of same-side interior angles between parallel lines is 180°. The smallest of them will be 3/(33+3) = 1/12 of 180°, or 15°. The largest will be 180° -15° = (33/3)(15°) = 165°. All remaining angles are congruent to one or the other of these.

  All four acute angles are 15°; all four obtuse angles are 165°.

Answer:

3600.

Step-by-step explanation:

8 =   2*2*2

12=   2*3

18=   2*3*3

30 =  2*3*5

The lowest common multiple of the these is

2 * 2 * 2 * 3*3* 5 = 360.

So the smallest square number = 2*2*2*2*3*3*5*5

(We make all the sets of factors a square).

So it's 16 * 9 * 25 = 3600.

Answer:

3600

Step-by-step explanation:

Answer:

11/8 or, 1 and 3/8

Step-by-step explanation:

First, we have to make both the denominators the same. In this case, we can multiply 3/4 by 2, to make 4, the denominator, into 8. What we do to the denominator, we must do to the numerator! So, we multiply 3 by 2, and get 6!

Now we have, 5/8 + 6/8, which equals 11/8! Which can also be simplified to 1 and 3/8 (because the numerator is larger than the denominator)

Hope this helps! :)

Answer:

Ray KM is an angle bisector of [tex]\angle NKL[/tex].

Step-by-step explanation:

Given that there are 4 lines that are extended from a point K.

Angle between KJ and KN is [tex]58^\circ[/tex] i.e. [tex]\angle JKN =[/tex] [tex]58^\circ[/tex]

Angle between KN and KM is [tex]61^\circ[/tex] i.e.  [tex]\angle NKM =[/tex] [tex]61^\circ[/tex].

Angle between KM and KL is [tex]61^\circ[/tex] i.e.  [tex]\angle MKL =[/tex] [tex]61^\circ[/tex]

Please refer to the attached image for the conditions and dimensions of angles given in the question statement.

Now, let us have a look at the options given:

1. Point K is a midpoint of Line segment JL

JL is not a straight line first of all, and secondly there is no condition given about the line segments.

So, it is incorrect.

2. [tex]m \angle JKN = \dfrac{1}{2}m \angle JKM[/tex]

[tex]\angle JKN =[/tex] [tex]58^\circ[/tex] and

[tex]m \angle JKM =58+61=139^\circ\\\Rightarrow \dfrac{1}{2} m \angle JKM = 64.5^\circ[/tex]

So, it is also incorrect.

3. Ray KM is an angle bisector of [tex]\angle NKL[/tex].

Ray KM divides the [tex]\angle NKL[/tex] into two equal angles [tex]\angle NKM =[/tex] [tex]61^\circ[/tex] and [tex]\angle MKL =[/tex] [tex]61^\circ[/tex] so it is correct.

Hey there here is ur answer!

0.24 in percent = 24%

Well all u gotta do is multiply 0.24 or any other decimal number with 100 to represent it in percent.

HOPE IT MAKES UR DAY BRIGHTER!!

Answer:

[tex]Total = 7\frac{1}{2} cups[/tex]

Step-by-step explanation:

Given

Initially, he drank 3 pints of water

Then, [tex]1\frac{1}{2}[/tex] more cups

Required

How many cups did Ian drink altogether

This question can be solved by adding the size of water he drank during the hike and when he got home

i.e.

[tex]Total = 3\ pints + 1\frac{1}{2} cups[/tex]

But the answer should be in cups;

So, number of pints has to be converted to number cups

Given that 1 pint = 2 cups;

3 pints will be 3 * 2 cups

3 pints = 6 cups;

So,

[tex]Total = 3\ pints + 1\frac{1}{2} cups[/tex]

[tex]Total = 6\ cups + 1\frac{1}{2} cups[/tex]

[tex]Total = 7\frac{1}{2} cups[/tex]

Altogether, he drank [tex]7\frac{1}{2} cups[/tex] of water

Answer:

Graph C

Step-by-step explanation:

The slope is 2 and to find the numbers in the equation are actually the opposite of what they appear, making the point (-2,1).

Answer:

[tex]n^2+3[/tex]

Step-by-step explanation:

4, 7, 12, 19, 28

The differences are 7-4=3, 12-7=5, 19-12=7, 28-19=9.

This is an arithmetic sequence since the differences are constant.

There must be [tex]n^2[/tex] in the nth term.

These are the next terms in the sequence:

4, 7, 12, 19, 28, 39, 52, 67, 84, 103, 124, 147, 172, 199, 228, 259, 292, 327, 364, 403, 444, 487, 532, 579, 628, 679, 732, 787, 844, 903, 964, 1027, 1092, 1159, 1228, 1299, 1372, 1447..

[tex]n^2 +c=4[/tex]

[tex]1^2+c=4[/tex]

[tex]c=4-1[/tex]

[tex]c=3[/tex]

Therefore, the nth term is [tex]n^2+3[/tex].

Answer:

nth term = n^2 + 3.

Step-by-step explanation:

4 7 12 19 28

The differences  are in an arithmetic sequence so this is a quadratic sequence,

- the differences are 3, 5, 7, 9... which is an A.S.

The  common difference of the A.S. is 2 so there is n^2 in the formula for the nth term.

By inspection , we see that each term is 3 more than  the term number squared.

1^2 + 3 = 4

2^2 + 3 = 7

3^2 + 3 = 12  

4^2 + 3 = 19   and so on.

Answer:

B.

Step-by-step explanation:

A =  C = 40°

40+40+ 4x = 180

4x = 100

x = 25°