Find the area of the shape shown below.

Answer:

6 mi

Step-by-step explanation:

10560 yds ÷ 1760 yds = 6 mi.

Answer: 6 miles

Step-by-step explanation:

1 mile = 1,760 yds.

Then 10,560/1,760

         = 6

Therefore, 10,560 yards is equal to 6 miles

Answer:

g(x) = -x² - 3

Step-by-step explanation:

You want to mirror f(x), hence the minus sign.

Then you want to translate it 3 down, hence the -3.

Answer:

g(x) = -x² - 3

Step-by-step explanation:

f(x) is x², so g(x) will be negative because it is on the opposite side of the plane.

g(x) will be -x², it cross the y-intercept at (0, -3)

g(x) = -x² - 3

Answer:

False

Step-by-step explanation:

Yes, they do give vertical angles, which by definition means opposite angles created by intersecting lines. BUT, these angles are not supplementary, as they don't always complete eachother. If they were supplementary, they would not be vertical angles. Instead, they create CONGRUENT veritcal angles.

Hope this helped!

The statement is False which is intersecting chords do not form a pair of supplementary and vertical angles.

A chord of a circle is defined as the line segment whose both endpoints of that line are on the circumference of the circle.

Vertical Angles are the angles formed facing opposite to each other when two lines intersect each other.

Supplementary angles are the adjacent angles whose sum is 180° and together form a straight line.

So, here when two intersecting chords of the circle intersect each other at a point, they form two pairs of vertical angles, and according to the theorem of vertical angle, vertical angles are congruent.

As vertical angles are opposite to each other, so they can't be adjacent and can not form always 180° by adding their values and do not make straight line together.

But Intersecting chords of the circle can form a pair of congruent vertical angles.

So the given statement: Intersecting chords of a circle form a pair of supplementary, vertical angles is False.

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Answer:

Step-by-step explanation:

(2+10)/(5+1)= 12/6 =2

y + 10 = 2(x + 1)

y + 10 = 2x + 2

y = 2x - 8

Answer:

You can expect at least 9 of her postcards to arrive within a week

To find that, we multiply the number of postcards by the probability

15 x 0.62 = 9.3

Hope this helps

Good Luck

The probability that the bus is filled in less than 3 hours from the time of the fare reduction is 0.8488

Let the time for calls for tickets is denoted by x.

The time between calls for tickets is exponentially distributed, with a mean of 30 minutes.

[tex]X \sim Exp(\lambda = \frac{1}{30})[/tex]

A small bus can carry four passengers. We have to find the probability that  the bus is filled in less than 3 hours from the time of the fare reduction.

That means there are more than 4 passengers in less than 180 minutes (3 hours).

Let N be the number of seats filled in 3 hours.

Then,

[tex]N \sim Poisson(\lambda t)[/tex]

Or,

[tex]N \sim Poisson(\frac{1}{30} \times180)[/tex]

[tex]N \sim Poisson(6)[/tex]

Then the required probability is:

[tex]P(N\geq 4) = 1 - P(N < 4)[/tex]      --------(1)

PDF for Poisson random variable with parameter λ is give by:

[tex]P(X =x) = \dfrac{{e^{-{\lambda}} {\lambda}^x}}{x!}[/tex]

Then for the variable N

P(N<4) = P(N=0)+P(N=1)+P(N=2)+P(N=3)

[tex]P(N < 4) = \dfrac{{e^{-{6}} {6}^3}}{3!} +\dfrac{{e^{-{6}} {6}^2}}{2!} +\dfrac{{e^{-{6}}{6}^1}}{1!}+\dfrac{{e^{-{6}} {6}^0}}{0!}[/tex]

On solving the above:

P(N<4) =0.0892+ 0.0446+0.0149+0.0025

P(N<4)= 0.1512

Substitute this value in (1)

P(N≥4) =1-0.1512

P(N≥4) =1-0.1512

P(N≥4) =0.08488

Hence, the required probability is 0.8488.

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Answer:

-4r

Step-by-step explanation:

r + -5r

Factor out r

r( 1-5)

r(-4)

-4r

Answer:

Step-by-step explanation:

Like your other question, let's break it down systematically

6x + 9y - 9(6x - 3y + 8z)

Use the distributive property

6x + 9y - 9(6x - 3y + 8z)

6x + 9y - 54x - 27y + 72z

Match like terms

6x - 54x = -48x

9y - 27y = -18y

72z - 48x - 18y

Answer:

El monomio equivalente es [tex]\cos 5x \cdot \cos 2x[/tex].

Step-by-step explanation:

Un monomio es una entidad algebraica consistente en un componente, el polinomio dado puede ser transformado mediante el uso de la siguientes propiedades trigonométricas:

[tex]\cos (\alpha + \beta) = \cos \alpha \cdot \cos \beta - \sin \alpha \cdot \sin \beta[/tex]

Es decir:

[tex]\cos 7x + \sin 5x \cdot \sin 2x[/tex] Dado

[tex]\cos (5x+2x) + \sin 5x\cdot \sin 2x[/tex]

[tex]\cos 5x \cdot \cos 2x - \sin 5x \cdot \sin 2x + \sin 5x \cdot \sin 2x[/tex]

[tex]\cos 5x \cdot \cos 2x[/tex]

El monomio equivalente es [tex]\cos 5x \cdot \cos 2x[/tex].

Answer:

Scalene triangle

Step-by-step explanation:

Let's first cancel out the obvious.

This is not a equilateral triangle because the angles are not equal.

Now if you draw out the triangle, you can see that the triangle is a little weird. Not at all a equilateral triangle.

It's also not a iscosles because no two angles are the same.

Thus we end up with scalene triangle.

Hope this helps!

Answer:

The missing frequencies are x = 8 and y = 43.

Step-by-step explanation:

Median Value =70

Then the median Class =60-80

Let the missing frequencies be x and y.

Given: Total Frequncy = 200 , Median = 46

[tex]\left|\begin{array}{c|ccccccc}Value&0-20&20-40&40-60&60-80&80-100&100-120&120-140\\Frequency&12&30&x&66&y&27&14\\$Cumu.Freq&12&42&42+x&108+x&108+x+y&135+x+y&149+x+y\end{array}\right|[/tex]

From the table

[tex]\sum f_i =149+x+y[/tex]  

Here, n = 200

n/2 = 100

Lower Class Boundary of the median class, l=60

Frequency of the median class(f) =66

Cumulative Frequency before the median class, f=42+x

Class Width, h=10

[tex]Median = l + \dfrac{\dfrac{n}{2} - c.f }{f} \times h[/tex]

[tex]70 = 60+ \dfrac{100- 42+x }{66}\times 10\\70 = 60+ \dfrac{58+x }{66}\times 10\\70-60=\dfrac{58+x }{66}\times 10\\10*66=10(58+x)\\58+x=66\\x=66-58\\x=8[/tex]

200=149+x+y

200=149+8+y

y=200-(149+8)

y=43

Hence, the missing frequencies are x = 8 and y = 43.

Answer:

[tex]\frac{-\sqrt{65} - 3 }{4}, \frac{\sqrt{65} + 3}{4}[/tex]

Step-by-step explanation:

Since we cannot factor the expression, we must use quadratic formula: [tex]x = \frac{-b +/-\sqrt{b^2 - 4ac} }{2a}[/tex]

Plug in a for 2, b for 3, and c for -7 and you should find your roots.

Answer:

The answer is 2 because they are similar it is just that the one at the side is factorised

Answer:

1. x=8 is the line of symmetry for f(x) = -4(x − 8)2 + 3

2. x=-2 is the line of symmetry of g(x) = 3x2 + 12x + 15

3. x=3 is the line of symmetry of h(x), shown in the graph.

Step-by-step explanation:

To find the line of symmetry of a vertical parabola (second degree polynomial), find the value of x that sets the squared term to zero.  This is a vertical line passing through the vertex of the second degree function.

1. f(x) = -4(x − 8)2 + 3

setting x=8 will give f(8) = 3, so x=8 is the line of symmetry

2. g(x) = 3x2 + 12x + 15

here, we need to complete the squares,

g(x) = 3x2 + 12x + 15

g(x) = 3(x^2+4x+5)

g(x) = 3(x^2 + 2(2x) +4 +1)

g(x) = 3((x+2)^2 +1)

So setting x=-2 will anihilate or cancel the squared term, therefore

x= -2 is the line of symmetry.

3. the curven shown in graph,

we see that the vertex is at x=3, so x=3 is the line of symmetry.

The axes of symmetry of the functions f(x), g(x), and h(x) will be x = 8, x = -2, and x = 3, respectively.

Axial symmetrical is similarity around an axis; an item is internally symmetric if it retains its appearance when turned around an axis.

Three capabilities are given underneath: f(x), g(x), and h(x).

f(x) = -4(x − 8)² + 3

The axis of symmetry of the function f(x) will be given as,

x − 8 = 0

x = 8

g(x) = 3x² + 12x + 15

Convert the expression into a vertex form.

g(x) = 3x² + 12x + 15

g(x) = 3(x² + 4x + 5)

g(x) = 3(x² + 4x + 4) + 3

g(x) = 3(x + 2)² + 3

The axis of symmetry of the function g(x) will be given as,

x + 2 = 0

x = −2

From the graph, the axis of symmetry of the function h(x) will be given as,

x = 3

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Answer:

a) 18

b) 10

c) x^2 - 4x + 5

d) 4x^2 + 2

Step-by-step explanation:

f(x) = 4x - 2

g(x) = x^2 + 1

a) f(5) = 4(5) - 2 = 20 - 2 = 18.

b) g(-3) = (-3)^2 + 1 = 9 + 1 = 10.

c) g(x - 2)...

g(x - 2) = (x - 2)^2 + 1 = x^2 - 2x - 2x + 4 + 1 = x^2 - 4x + 5.

d) f(g(x)) = f(x^2 + 1) = 4(x^2 + 1) - 2 = 4x^2 + 4 - 2 = 4x^2 + 2.

Hope this helps!

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the SUBTRACTION.

so here we are going to use the BODMAS Rule,

Answer is -11

Answer:

Step-by-step explanation:

Can do skmeone help me

Answer:

$42 for 8 tickets

Step-by-step explanation:

To tell which is the better deal you need to find out how much each ticket costs per scenario

$18 for 3 tickets you will need to do 18/3 which will give you $6 a ticket

$42 for 8 tickets you will need to do 42/8 which will give you $5.25 a ticket

$42 option is cheaper per ticket so it is therefore the better option.

Answer:

Height of the cylinder = 15

Step-by-step explanation:

According to the question, TSA=968

TSA of cylinder=2π r (r+h2*22 / 7*7 (7+h) = 968

2*22 (7+h) = 968

(7+h) = 968/44

7+h=22

h = 22-7

= 15 cm

Answer:

The answer is the second one 687p + 920 = -705.6

Step-by-step explanation:

The decimal place in each number was shifted right 2 spots

Answer:

ab+c=d

ab=d-c

a=d-c/b

Answer:

[tex]a=\frac{d-c}{b}[/tex]

Step-by-step explanation:

ab+c=d

in order to find the value of a subtracting c on both sides

ab+c-c=d-c

ab=d-c

dividing b on both sides

ab/b=(d-c)/b

[tex]a=\frac{d-c}{b}[/tex] is the answer

i hope this will help you :)

Answer:

-71/624

Step-by-step explanation:

Easiest and fastest way to do this is to plug it into you calc. If you are doing it by hand, remember BPEMDAS and convert the fractions into same denominators to make adding easier.

Answer:

Both types of lines are built on the same plane although they meet different objectives for which they are built.

Step-by-step explanation:

The difference is that in the case of parallel lines they will never cross and in the case of perpendicular lines if they cross each other, which can give rise to the formation of right angles to each other.

Answer:

x= 9/5

Step-by-step explanation:

The value of 'x' by using given steps will be 1.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ - 3x + 18 = 7x

Now,

Solve the expression by using the given steps as;

The expression is,

⇒ - 3x + 18 = 7x

Add 3x to both side,

⇒ - 3x + 18 + 3x = 7x + 3x

⇒ 10 = 10x

Divide both sides by 10,

⇒ 10/10 = 10x/10

⇒ 1 = x

⇒ x = 1

Thus, The value of x by using given steps will be 1.

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Answer:

a is 2q^2r

b is 3s^2t

the expression factored is...

(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)

Step-by-step explanation:

Answer:

4/5, 3/100

Step-by-step explanation

Let's look at 0.8 first.

0.8 is 8/10, but there's some more.

Let's divide 8 / 2. It is 4.

and, 10 / 2 is 5.

so, 0.8's simplest form is 4/5.

and, 0.03's simmplest fraction is easy.

It is 3/100, cuz 3 is a prime number and 3's integer is only 1 and 3.

Hope this helps!

Answer:

x-8

Step-by-step explanation:

You add the -7 and -1 and then put the x in front of your answer.

Answer: x-8

Step-by-step explanation:

x-7-1

-7-1=-8

x-8

Answer:

/25 is the trigonometric

tan=24

Answer:

cos(e) sin(e) is the he correct ratio

Answer:

A

n^2+3

1. 1^2+3= 4

2. 2^2+3= 7

3. 3^2+3= 12

4. 4^2+3= 19

5. 10^2+3= 103

B

2n^2

1. 2*1^2=2

2. 2*2^2= 8

3. 2*3^2= 18

4. 2*4^2= 32

5. 2*10^2= 200

Answer:

see below

Step-by-step explanation:

n^2+3

n=1:  1^2+3 = 1+3 =4

n=2:  2^2+3 = 4+3 =7

n=3:  3^2+3 = 9+3 =12

n=4:  4^2+3 = 16+3 =19

n=10:  10^2+3 = 100+3 =103

2n^2

n=1:  2*1^2 = 2*1 =2

n=2:  2*2^2 = 2*4 =8

n=3:  2*3^2 = 2*9 =18

n=4:   2*4^2 = 2*16 =32

n=10:   2*10^2 = 2*100 =200