Town B is 6 miles due north of town A, and town C is due east of town A. It is 11 miles from town B to town C. Find the distance from town A to towAn C.

Answer:

$120

Step-by-step explanation:

930-570=360 (Price difference in 3 years)

360 divided by 3= 120 (Price difference for each of the 3 years)

Answer:

112.5:15=7.5

Step-by-step explanation:

112.5:15

=112.5÷15

=7.5

The equation "112.5 : 15 = 7.5" is true.

Proceed option 1:

"15 - 112.5 = 7.5":

This equation is not correct because 15 - 112.5 does not equal 7.5.

Proceed option 2:

"15 : 112.5 = 75":

This equation is not correct because when we divide 15 by 112.5, we get a decimal answer of 0.1333, not 75.

Proceed option 3:

"112.5 : 15 = 7.5": This equation is correct.

When we divide 112.5 by 15, we get an answer of 7.5.

Proceed option 4:

"112.5 : 15 = 75": This equation is not correct because when we divide 112.5 by 15, we get an answer of 7.5, not 75.

Hence equation "112.5 : 15 = 7.5" is correct.

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Answer:

x ≥ −5 and x < 4

Step-by-step explanation:

-4x + 1 ≤ 21 and 5x + 2 <  22

5x + 2 < 22 = x < 4

We can plug it in: 5 x 3 + 2 < 22 = 17 < 22

-4x + 1 ≤ 21 = x= -5 and lower

Plug it in: -4 x -5 + 1 ≤ 21 = 21 ≤ 21 = x ≥−5

So both answers would be:

x ≥−5 for -4x + 1 ≥ 21

x < 4 for 5x + 2 <  22

Answer:

6 hours before lunch

Step-by-step explanation:

Let x = hours before lunch

after lunch = 1/3x

Total time worked = 8 hours

x+1/3 x = 8

Combine like terms

4/3x = 8

Multiply each side by 3/4

3/4 * 4/3x = 8 * 3/4

x = 6

6 hours before lunch

Answer:

The carpenter worked 3x, or 6 hrs, before lunch.

Step-by-step explanation:

Represent the time worked before lunch as 3x and the time worked after lunch as x.  Then 3x + x = 8 hrs, and so:

4x = 8 hrs, and

x = 2 hrs

The carpenter worked 3x, or 6 hrs, before lunch.

Answer:

12.5 km per liter

Step-by-step explanation:

To get the kilometer per liter divide km by liters

100/8=12.5

Answer:

-3 feets

Step-by-step explanation:

Given the following :

Starting point = 224 feets

Then descends 131 feets

Then climbs 67 feets higher than her current position

Then descends 163 feets

Addition sentence to describe the situation :

224feets + (-131)feets + 67feets + (-163)feets

Negative (-) points represents descent

224feets - 131feets + 67feets - 163feets = - 3feets

This means Sally is - 3 feets below her initial position.

Answer:

y = 0

Step-by-step explanation:

Given

f(x) = 4x² +x⁵ +10x³ +5x+8x⁴

Required

Determine the y intercept

The y intercept of a function is a point where x = 0

So, we have to substitute 0 for x in the above function

f(x) = 4x² +x⁵ +10x³ +5x+8x⁴ becomes

f(0) = 4(0)² +(0)⁵ +10(0)³ +5(0)+8(0)⁴

f(0) = 4 * 0 + 0 + 10 * 0 + 5 * 0 + 8 * 0

f(0) = 0 + 0 + 0 + 0 + 0

f(0) = 0

Substitute y for f(0)

y = 0

Hence, the y intercept is 0

Answer:

eleven more than a number squared, decreased

by six;

evaluate when t = 5

Evaluating Expressions

Write the expression as 11 +t2 -6

Write the expression as 11 +2t -6

Write the expression as t underscore 2                                        

The value when t = 5 is 16.

The value when t = 5 is 30.

The value when t = 5 is 7.5.

Answer:

11 + the number sqaured - 6

Step-by-step explanation:

Since you do not provide any other numbers I do not know what the number is so I can only give you this.Hope it helps

Answer:

y = - 4x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Here m = - 4 and c = 7, thus

y = - 4x + 7 ← equation of line

Answer:

(i) F = 25 N

(ii) F = 35.36 N

(iii) F = 43.3 N

Step-by-step explanation:

We note that the component of force acting along the incline surface is given by the relation

Force, acting parallel to the incline plane, [tex]F_p[/tex] = M×g×sin(θ)

Given that the weight of the body is given as 50 N, we have;

M×g = 50 N

Therefore we have;

(i) For the plane with angle of elevation = 30°

[tex]F_p[/tex] = M×g×sin(θ) = 50 × sin(30°) = 25 N

The force  [tex]F_p[/tex]  = F = 25 N

F = 25 N

(ii) For the plane with angle of elevation = 45°

[tex]F_p[/tex] = M×g×sin(θ) = 50 × sin(45°) = 50 × (√2)/2 = 25·√2 N

[tex]F_p[/tex] = F = 25×√2 N = 35.36 N

F = 35.36 N

(iii) For the plane with angle of elevation = 60°

[tex]F_p[/tex] = M×g×sin(θ) = 50 × sin(60°) = 50 × (√3)/2 = 25·√3 N

[tex]F_p[/tex] = F = 25×√3 N = 43.3 N

F = 43.3 N.

Answer: The vertex of the graph of y = x^2 is shifted to the right 4 units and up 3 units

Step-by-step explanation:

Option (D) the vertex of the graph of y = x^2 is shifted to the right 4 units and up 3 units is the correct answer.

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).

For the given situation,

The function y = (x - 4^)2 + 3

Plot the graph on substituting the function [tex]y=x^{2}[/tex] as shown in the graph below.

On comparing the two functions, the transformation of the vertex of the graph of y = x^2 is shifted to the right 4 units and up 3 units.

Thus the function y = (x - 4)^2 + 3 is a transformation of the function         y = x^2.

Hence we can conclude that option (D) the vertex of the graph of y = x^2 is shifted to the right 4 units and up 3 units is the correct answer.

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Answer:

Please find attached the required graph for the temperature time relationship

Step-by-step explanation:

The parameters given are arranged in a tabular form as follows;

At

Time  [tex]{}[/tex]                                          Temperature

6 a. m.        [tex]{}[/tex]                                    56° F

7 a. m.          [tex]{}[/tex]                                   59° F

8 a. m.             [tex]{}[/tex]                                62° F

9 a. m.             [tex]{}[/tex]                                66° F

10 a. m.            [tex]{}[/tex]                               70° F

11 a. m.                  [tex]{}[/tex]                          74° F

12 p. m.              [tex]{}[/tex]                             74°F

1 p. m.                     [tex]{}[/tex]                        74°F

2 p. m.                  [tex]{}[/tex]                          74°F

3 p. m.                   [tex]{}[/tex]                         74°F

4 p. m.                   [tex]{}[/tex]                         74°F

5 p. m.                  [tex]{}[/tex]                          74°F

6 p. m.                 [tex]{}[/tex]                           74°F

7 p. m.                       [tex]{}[/tex]                     71°F

8 p. m.                      [tex]{}[/tex]                      68°F

9 p. m.                          [tex]{}[/tex]                  65°F

10 p. m.                  [tex]{}[/tex]                         62°F

11 p. m.                        [tex]{}[/tex]                    61.5°F

12 a. m.                        [tex]{}[/tex]                    61°F

With the above table as the data points, the graph can be drawn

From Excel, The Mean temperature is approximately 68.1°F

The standard deviation is 6.079 °F

Since Dylan noted the time of day and the temperature, in degrees Fahrenheit, and his findings are as follows: At 6 am, the temperature was 56 ° F, for the next 2 hours, the temperature rose 3 ° per hour, for the next 3 hours, it rose 4º per hour, and the temperature then stayed steady until 6 pm, while for the next 4 hours, the temperature dropped 3 ° per hour, and the temperature then dropped steadily until the temperature was 61 ° at midnight , to determine the average temperatures, the following tables must be made:

6 AM = 56

7 AM = 59

8 AM = 62

9 AM = 66

10 AM = 70

11 AM = 74

6 PM = 74

7 PM = 71

8 PM = 68

9 PM = 65

10 PM = 62

11 PM = 61.5

12 AM = 61

Thus, the average daily temperature was 68°F.

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==============================================

Explanation:

The chords intersect to form the angle 73 degrees. The chords also form the arcs of 96 and x. Averaging the arc measures will result in the internal angle 73

---------

(x+96)/2 = 73

x+96 = 2*73 ... multiply both sides by 2

x+96 = 146

x = 146-96 ... subtract 96 from both sides

x = 50

Answer:

a + 8

Step-by-step explanation:

Note that

(x + y)² = x² + 2xy + y²

           = x² + y² + 2xy

           = a + 2(4) = a + 8

Here, we are required to determine an expression equal to (x + y)²

The correct answer is therefore (a + 8)

First, x² + y² = a can be rewritten completing the square method as;

(x+y) (x+y) = a + 2xy

when we expand the expression above; we have;

x² + 2xy + y² = a + 2xy

since, 2xy is present on both sides of the equation;

we still get the expression; x² + y² = a

Therefore, (x+y)² = a + 2xy

we can then substitute the value 4 for xy in the equation above;

Thus, since xy = 4, therefore 2xy = 8

Consequently, (x+y)² = a + 8

The correct answer is therefore (a + 8)

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Answer:

B. x = 7/2 or x=-1/3

Step-by-step explanation:

You know both angles 6x² and 19x+7 have to be the same, so you can solve

6x² = 19x+7

6x² - 19x - 7 = 0

apply the quadratic formula and find

x = -1/3 or x = 7/2

now think carefully if the negative x is a realistic solution. It would lead to the angles being (2/3)°. This is not what the picture suggests, but it is also not wrong, so answer B seems the best.

Answer:

8. B

Step-by-step explanation:

"More than twice...-

2x

complement

90

"23 is more"-

+ 23

put it all together-

2x + 23 = 90

Angle E is 33.5 or 34 once you find the value of x

Now subtract this from 180 to find the other angle

180 - 34 = 146

Answer:

B. 18

Step-by-step explanation:

Base: 3-(-6)=9

Height: 6-2=4

Area =1/2bh = 1/2(9)(4)= 18 square units

Answer:

C AND D

Step-by-step explanation:

it is a rational and real number

Answer:

[tex]\Large \boxed{\mathrm{\bold{C.} \ real}} \\\\ \Large \boxed{\mathrm{\bold{D.} \ rational}}[/tex]

Step-by-step explanation:

[tex]\sf \displaystyle \frac{5}{6}=0.833333...[/tex]

The fraction is a repeating decimal. Repeating decimals are rational numbers.

A rational number is a real number.

Answer:  

Equation translates to 289 + y = 206

it solves to y = -83

====================================================

Explanation:

The "and y more" means we are adding y onto 289 to get the expression 289+y. This is set equal to 206 because of the term "is" in the original statement.

Therefore, "289 and y more is 206" translates fully to the equation 289+y = 206

This is the same as saying y+289 = 206

To isolate y, we undo what is happening to it. We are adding 289 to it, so we must subtract 289 from both sides

y+289 = 206

y+289-289 = 206-289

y = -83

So we are adding -83 to 289 to get 206

Step-by-step explanation:

Given

a = 1

b = -3

c = -1

d = 4

Everything is given to us ,we have to replace variable by numbers and solve the equation

put the values of variables in th given equation we get our answer

[tex]2( - 1)(4) + 3(2)( - 3)[/tex]

[tex] - 8 - 18[/tex]

[tex] - 26[/tex]

-26 is ur answer

Hope it helps u mate

If a =2, b = -3 and c = -1 and d =4. 2cd+3ab is - 26.

As name suggests variables can have different values.We put a certain values to a variable according to our desired results also can be thought as inputs that determines output.

According to the given question we have to evaluate an expression with variables and the values of the variables are given so we will just substitute their values and obtain our result.

Given  a =2, b = -3 and c = -1 and d =4.

∴ 2cd+3ab

= 2(-1)(4) + 3(2)(-3)

= 2(-4) + 6(-3)

= - 8 - 18

= - 26.

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Answer:

Dilation is the transformation

Answer:

$6250

Step-by-step explanation:

Hello!

First, we find out how much you spend a week.

Since you buy a $5 coffee 5 days a week we multiply the price for a coffee by 5.

5 * 5 = 25.

Next, we find out how much you spend a year.

Since you do it 50 weeks a year we multiply the amount you spend a week by 50

25 * 50 = 1250

Then, we find out how much you spend in 5 years.

We multiply the cost a year by the amount of years

1250 * 5 = 6250

The answer is $6250

Hope this helps!

Answer:

$6250 Just took a quiz

Step-by-step explanation:

Answer:

C = 50.27 m

Step-by-step explanation:

A = πr²

64π = πr²

64 = r²

r = ±8

r = 8

C = 2πr

C = 2π(8)

C = 50.27 m

Answer: Point A ,Point E , Point B, Point D  

Step-by-step explanation:

In the given figure we have two planes named as S and T that are join by  a line .

There is one line on each of them .

On plane S points are B and C.

On plane T points are D, and E.

On the intersection of planes, we have point A.

Now from the given options, the four points are:

Point A ,Point E , Point B, Point D

Answer:

Step-by-step explanation:

f(0) = 8       {y-axis intercept = (0, 8)}

Vertex = (1, 9)

f(x) = a(x - 1)² + 9

8 = a(0-1)² + 9

8 = a + 9

a = -1

f(x) = - (x - 1)² + 9

f(x) = - (x² - 2x + 1) + 9

f(x) = - x² + 2x - 1 + 9

f(x) = - x² + 2x + 8

x₁ = -2  and x₂ = 4, so also:

f(x) = -(x + 2)(x - 4)

Answer:

g(x) = -1 (x + 2)(x − 4)

Step-by-step explanation:

To write the equation of the function in factored form, g(x) = a(x − r1)(x − r2), find the values of r1, r2, and a.

The function has x-intercepts of -2 and 4, so (x − (-2)), or (x + 2), and (x − 4) are factors of the equation.

To find a, look at how the value of y changes for 1 unit to the right of the vertex. The y-value goes down 1 unit for a point 1 unit to the right of the vertex, so a = -1.

The equation of this quadratic function is g(x) = -(x + 2)(x − 4).

Thank me later  ᵇⁱᵗᶜʰᵉˢ

80 ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎

Answer:

80 :)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The height has to be perpendicular ( 90 degrees) to the base

B is the height to the base

Answer:

-4 < x < -2

Step-by-step explanation:

8 > 4 - x > 6

4 > -x > 2

-4 < x < -2 (flip the sign when multiplying / dividing by a negative number)

Answer:

$5.00 each month.

Step-by-step explanation:

60 / 12 = 5

60 for how many $ per year.

12 for how many months are in a year.

Answer:

The correct options are;

Lines l and n are perpendicular

Lines m and n are perpendicular

Step-by-step explanation:

Where two lines l an m are said to be perpendicular to a given line n, then we have;

1) When  l and m are in different planes,

a) l and m can be parallel lines to each other or

b) l and m can be perpendicular to each other or

c) l and m can be at an angle x, to each other

2) When l and m intersect with the line n at a point p, then, we have;

l and m must be in the same plane with each other.